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1
+ 1
2
+ 00:00:20,840 --> 00:00:26,640
3
+ ุงู„ุฌุฒุก ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ู…ุน ุงู„ู€ kurtzes ู‡ุฐุงุŒ ู‡ุฐุง ู…ุด
4
+
5
+ 2
6
+ 00:00:26,640 --> 00:00:30,800
7
+ ุนุงูŠุฒู‡ุŒ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุตุบูŠุฑุฉุŒ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ู‡ุฐู‡
8
+
9
+ 3
10
+ 00:00:30,800 --> 00:00:35,120
11
+ ุงู„ู…ู†ุทู‚ุฉ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ kurtzesุŒ ู‡ุฐู‡ ู…ุด
12
+
13
+ 4
14
+ 00:00:35,120 --> 00:00:41,640
15
+ ุนุงูŠุฒูŠู†ู‡ุงุŒ ูˆ
16
+
17
+ 5
18
+ 00:00:41,640 --> 00:00:47,030
19
+ ู‡ุฐู‡ ุงู„ู€ slide ู…ุด ุนุงูŠุฒู‡ุงุŒ ู‡ุฐู‡ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง
20
+
21
+ 6
22
+ 00:00:58,790 --> 00:01:14,610
23
+ ู…ุง ุจุฏูŠุด ุฃุดุฑุญู‡ุง .. ู…ุง ุจุฏูŠุด ุฃุดุฑุญู‡ุงุŒ ุดุฑุญุช
24
+
25
+ 7
26
+ 00:01:14,610 --> 00:01:18,130
27
+ ุฃู†ุชู… ุงู„ุทู„ุงุจุŒ ู…ุด ู„ุงุฒู… ุฃุดุฑุญ ู„ูƒู…ุŒ ุฃู†ุชู… ูŠุนู†ูŠ ุงู„ุชุจุฑูŠุฏ ู…ุด
28
+
29
+ 8
30
+ 00:01:18,130 --> 00:01:22,230
31
+ ู…ู‚ุฑุฑ ุนู„ูŠูƒู…ุŒ slide ูˆุงุญุฏุฉ ู…ุด ุนุงุฑูุŒ ุณู„ุฒู…ูŠุชูƒ ุงู„ู„ูŠ ูƒุงู†ุช
32
+
33
+ 9
34
+ 00:01:22,230 --> 00:01:31,960
35
+ ุชุชุจุน ู…ุนุงูƒู…ุŒ ู‡ุณุฃู„ูŠู‡ู… ูŠุฌูŠุจูˆุง ุงู„ุฌูˆุงุจ ุงู„ูŠูˆู…
36
+
37
+ 10
38
+ 00:01:31,960 --> 00:01:42,920
39
+ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ู‡ุจุฏุฃ ุฃูƒู…ู„ ู…ูˆุถูˆุน a new topic is called
40
+
41
+ 11
42
+ 00:01:42,920 --> 00:01:48,320
43
+ quartile measures definition
44
+
45
+ 12
46
+ 00:01:48,320 --> 00:01:58,220
47
+ of quartile measuresุŒ ุงู„ู€ Quartiles ู…ุนู†ุงู‡ุง ู…ู‚ุงูŠูŠุณ
48
+
49
+ 13
50
+ 00:01:58,220 --> 00:02:01,460
51
+ ุงู„ู…ู‚ุงูŠูŠุณ
52
+
53
+ 14
54
+ 00:02:01,460 --> 00:02:08,960
55
+ ุงู„ุฑุจุนูŠุฉุŒ ุงู„ู…ู‚ุงูŠูŠุณ ุงู„ุฑุจุนูŠุฉ Quartiles
56
+
57
+ 15
58
+ 00:02:08,960 --> 00:02:15,240
59
+ ู…ุนู†ุงู‡ุง ุฃุฑุจุนุฉุŒ ุงู„ู€ Quartiles split the rank data into
60
+
61
+ 16
62
+ 00:02:15,240 --> 00:02:20,270
63
+ four equal segmentsุŒ ุจุชู‚ุณู… ุงู„ู€ data ุงู„ู…ุฑุชุจุฉ ู„ุฃุฑุจุน
64
+
65
+ 17
66
+ 00:02:20,270 --> 00:02:24,730
67
+ ุฃู‚ุณุงู… ุฒูŠ ุจุนุถุŒ with an equal number of values per
68
+
69
+ 18
70
+ 00:02:24,730 --> 00:02:28,190
71
+ segmentุŒ ุฅุฐุง ุงู„ู€ quartiles ุจุชู‚ุณู… ุงู„ู€ data values
72
+
73
+ 19
74
+ 00:02:28,190 --> 00:02:32,310
75
+ into four equal segmentsุŒ ูŠู‚ุณู…ู‡ุง ู„ุฃุฑุจุน ุฃุฌุฒุงุก
76
+
77
+ 20
78
+ 00:02:32,310 --> 00:02:37,810
79
+ ู…ุชุณุงูˆูŠุฉุŒ there are three quartilesุŒ one is called
80
+
81
+ 21
82
+ 00:02:37,810 --> 00:02:43,870
83
+ the first quartileุŒ ุงู„ุฑุจุน ุงู„ุฃูˆู„ุŒ and is denoted by
84
+
85
+ 22
86
+ 00:02:43,870 --> 00:02:44,350
87
+ Q1
88
+
89
+ 23
90
+ 00:02:52,190 --> 00:03:04,850
91
+ ูˆุงู„ุฑุจุน ุงู„ุฃูˆู„ ู‡ูˆ ู‚ูŠู…ุฉ 25% ู…ู† ุงู„ู…ู„ุงุญุธุงุช ุฃู‚ู„ ู…ู† Q1ุŒ
92
+
93
+ 24
94
+ 00:03:04,850 --> 00:03:14,330
95
+ ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ 25% ุฃู‚ู„ ู…ู†ู‡ุŒ Q1
96
+
97
+ 25
98
+ 00:03:14,330 --> 00:03:21,350
99
+ 25% ุฃูˆ ู…ูˆู‚ุน ุงู„ุจูŠุงู†ุงุชุŒ ุฃูˆ ู…ูˆู‚ุน ุงู„ุจูŠุงู†ุงุช ุตุบูŠุฑุฉ ู…ู† ุงู„ู€
100
+
101
+ 26
102
+ 00:03:21,350 --> 00:03:30,250
103
+ Q1ุŒ ูˆุงู„ู…ู‚ุงูˆู…ุฉ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Q1 ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ 75% ุฃูƒุซุฑ
104
+
105
+ 27
106
+ 00:03:30,250 --> 00:03:39,670
107
+ ู…ู† ุงู„ู€ Q1ุŒ ูุงู„ู€ Q1 ุนู„ู‰ ุดู…ุงู„ู‡ 25 ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ 75ุŒ ุขุฎุฑ
108
+
109
+ 28
110
+ 00:03:39,670 --> 00:03:42,710
111
+ ู…ู‚ุงูˆู…ุฉุŒ ุงุณู…ู‡ุง Q2
112
+
113
+ 29
114
+ 00:03:49,140 --> 00:03:53,960
115
+ ุงู„ุฑุจุน ุงู„ุซุงู†ูŠุŒ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
116
+
117
+ 30
118
+ 00:03:53,960 --> 00:03:57,600
119
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
120
+
121
+ 31
122
+ 00:03:57,600 --> 00:04:03,100
123
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
124
+
125
+ 32
126
+ 00:04:03,100 --> 00:04:03,120
127
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
128
+
129
+ 33
130
+ 00:04:03,120 --> 00:04:03,260
131
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
132
+
133
+ 34
134
+ 00:04:03,260 --> 00:04:04,020
135
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
136
+
137
+ 35
138
+ 00:04:16,230 --> 00:04:21,570
139
+ 5% ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ูˆ 50% ุนู„ู‰ ุงู„ุดู…ุงู„ุŒ ูŠุนู†ูŠ 5% ุฃู‚ู„ุŒ ูˆ 50%
140
+
141
+ 36
142
+ 00:04:21,570 --> 00:04:28,570
143
+ ุฃุนู„ู‰ ู„ู€ Q3ุŒ ู‚ู„ุช
144
+
145
+ 37
146
+ 00:04:28,570 --> 00:04:43,370
147
+ ุงู„ุซุงู„ุซุฉุŒ ุฃูƒุณ ูŠุนู†ูŠ ุฃูƒุซุฑุŒ Q3 ูู‚ุท 25 ู…ู† ุงู„ู…ู„ุงุญุธุงุช ุฃูƒุซุฑ ู…ู†
148
+
149
+ 38
150
+ 00:04:43,370 --> 00:04:53,420
151
+ ุงู„ุซุงู„ุซุฉุŒ ุฃูƒุซุฑ ูˆ 25% ุฃูƒุซุฑุŒ ูˆ 75% ุฃู‚ู„ุŒ ุฅุฐุง ุงู„ู€ three
152
+
153
+ 39
154
+ 00:04:53,420 --> 00:04:58,300
155
+ quartilesุŒ Q1ุŒ ุงู„ู€ first quartileุŒ in this case there
156
+
157
+ 40
158
+ 00:04:58,300 --> 00:05:03,740
159
+ are 25% of the observations are smallerุŒ 75% are
160
+
161
+ 41
162
+ 00:05:03,740 --> 00:05:10,820
163
+ greater or largerุŒ Q2ุŒ the value in the middleุŒ 50%
164
+
165
+ 42
166
+ 00:05:10,820 --> 00:05:17,310
167
+ belowุŒ 50% aboveุŒ ุงู„ู€ Q3 ูู‚ุท 25% ู…ู† ุงู„ุจูŠุงู†ุงุช ุฃูƒุซุฑ ู…ู†
168
+
169
+ 43
170
+ 00:05:17,310 --> 00:05:24,390
171
+ ุงู„ู€ Q3ุŒ ูˆุจุงู„ุชุฃูƒูŠุฏ 75% ุฃู‚ู„ ู…ู† ุงู„ู€ Q3ุŒ ูุงู„ุขู† ู„ุฏูŠู†ุง
172
+
173
+ 44
174
+ 00:05:24,390 --> 00:05:27,350
175
+ ู…ู‚ุงูŠูŠุณ ุฌุฏูŠุฏุฉุŒ ุญุชู‰ ุงู„ุขู† ู„ุฏูŠู†ุง ุซู„ุงุซุฉ ู…ู‚ุงูŠูŠุณ ู…ุฎุชู„ูุฉ
176
+
177
+ 45
178
+ 00:05:27,350 --> 00:05:31,650
179
+ ู…ู‚ุงูŠูŠุณ ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉุŒ ู†ุญู† ู†ุชูƒู„ู… ุนู† ุงู„ู€ mean, median
180
+
181
+ 46
182
+ 00:05:31,650 --> 00:05:36,730
183
+ ูˆ modeุŒ ุซู… ู†ุญู† ู†ุชูƒู„ู… ุนู† ู…ู‚ุงูŠูŠุณ ุซุงู†ูˆูŠุฉุŒ ู…ู‚ุงูŠูŠุณ ุงู„ุชุบูŠุฑ
184
+
185
+ 47
186
+ 00:05:36,730 --> 00:05:44,860
187
+ ุฃูˆ ู…ู‚ุงูŠูŠุณ ุงู„ุชุดุชุชุŒ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุบูŠุฑ ุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
188
+
189
+ 48
190
+ 00:05:44,860 --> 00:05:47,320
191
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
192
+
193
+ 49
194
+ 00:05:47,320 --> 00:05:47,380
195
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
196
+
197
+ 50
198
+ 00:05:47,380 --> 00:05:47,480
199
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
200
+
201
+ 51
202
+ 00:05:47,480 --> 00:05:48,740
203
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
204
+
205
+ 52
206
+ 00:05:48,740 --> 00:05:50,120
207
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช
208
+
209
+ 53
210
+ 00:05:50,120 --> 00:05:52,380
211
+ ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช
212
+
213
+ 54
214
+ 00:05:52,380 --> 00:05:59,400
215
+ ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช
216
+
217
+ 55
218
+ 00:05:59,400 --> 00:06:02,960
219
+ ูˆุงู„ุชุดุชุช
220
+
221
+ 56
222
+ 00:06:02,960 --> 00:06:10,400
223
+ ูˆุงู„ุชุดุชุช ูˆุงู„ุชุดุชุช
224
+
225
+ 57
226
+ 00:06:13,730 --> 00:06:17,810
227
+ ู…ุนู†ู‰ standard deviationุŒ ูƒู…ุง ุฃู† ู‡ุฐุง ูŠุนู†ูŠ standard
228
+
229
+ 58
230
+ 00:06:17,810 --> 00:06:28,870
231
+ deviationุŒ ูˆ varianceุŒ ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุชุชุฃุซุฑ
232
+
233
+ 59
234
+ 00:06:28,870 --> 00:06:36,050
235
+ ู…ู† ู‚ูŠู… ุฃูˆ ู‚ูŠู…ุฉ outliersุŒ ุจูŠู†ู…ุง ุฃูŠุถู‹ุง ุฃูŠุถู‹ุง ุงู„ู€
236
+
237
+ 60
238
+ 00:06:36,050 --> 00:06:41,800
239
+ range ู‡ูŠ ุฃูŠุถู‹ุง ู…ู‚ูŠุงุณ ุงู„ุชุบูŠุฑุŒ ู…ุคุซุฑุฉ ุนู„ู‰ ู‚ูŠู… outliers
240
+
241
+ 61
242
+ 00:06:41,800 --> 00:06:47,640
243
+ ูˆู„ูƒู† ุงู„ู€ Median ู„ูŠุณ
244
+
245
+ 62
246
+ 00:06:47,640 --> 00:06:52,340
247
+ ุฃูƒุซุฑ ุญุณุงุณูŠุฉ ู„ู€ Outliers.
248
+
249
+ 63
250
+ 00:06:56,440 --> 00:07:00,000
251
+ ุงู„ุขู†ุŒ ู…ุงุฐุง ุนู† ุงู„ู…ู‚ุงูŠูŠุณ ุงู„ุฌุฏูŠุฏุฉุŸ ุฃุนู†ูŠุŒ ู…ุงุฐุง ุนู† ุงู„ู€
252
+
253
+ 64
254
+ 00:07:00,000 --> 00:07:07,540
255
+ QuartilesุŸ ู‡ู„ ุงู„ู€ Q1 ู…ุคุซุฑ ููŠ OutliersุŸ ูˆุดู ุฃูŠุถู‹ุง
256
+
257
+ 65
258
+ 00:07:07,540 --> 00:07:10,340
259
+ ู†ูุณ ุงู„ุดูŠุก ุจุงู„ู†ุณุจุฉ ู„ู€ Q3ุŒ ุจุงู„ุชุฃูƒูŠุฏ Q2 ู„ูŠุณ ู…ู‡ุชู…ู‹ุง
260
+
261
+ 66
262
+ 00:07:10,340 --> 00:07:16,000
263
+ ุจู‡ุฐุงุŒ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ุตูุญุฉ ุงู„ุชุงู„ูŠุฉุŒ ูˆู†ุฑู‰ ุฃูˆู„ู‹ุง
264
+
265
+ 67
266
+ 00:07:16,000 --> 00:07:23,140
267
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ุงู„ู…ุฌู…ูˆุนุงุช ูˆุฅุฌุฑุงุก ุงู„ู…ุฌู…ูˆุนุงุชุŒ ุชุฐูƒุฑ ุฃู†ู†ุง
268
+
269
+ 68
270
+ 00:07:23,140 --> 00:07:28,580
271
+ ุนู†ุฏู…ุง ุฃุฌุฑูŠู†ุง ุงู„ู…ุฌู…ูˆุนุงุช ุฃูˆู„ู‹ุง ู†ุฌุฏ ุงู„ู…ุฌู…ูˆุนุงุชุŒ ู„ุฐู„ูƒ
272
+
273
+ 69
274
+ 00:07:28,580 --> 00:07:34,580
275
+ ุฑุฃูŠู†ุง ุขุฎุฑ ู…ุฑุฉ ู…ูƒุงู† ุงู„ู…ุฌู…ูˆุนุงุชุŒ ุซู… ู†ุชูƒู„ู… ุนู† ุงู„ู…ุฌู…ูˆุนุงุช
276
+
277
+ 70
278
+ 00:07:35,560 --> 00:07:38,060
279
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ูˆุตูŠ ุจุงู„ู…ุฌู…ูˆุนุงุชุŒ
280
+
281
+ 71
282
+ 00:07:38,060 --> 00:07:43,820
283
+ ุซู… ู†ุณุชุฎุฏู… ุงู„ูƒู…ุจูŠูˆุชุฑ ู„ู„ู…ุฌู…ูˆุนุงุชุŒ ุฏุนูˆู†ุง ู†ุจุฏุฃ ุจุงู„ุฃูˆู„ุŒ ูƒูŠู
284
+
285
+ 72
286
+ 00:07:43,820 --> 00:07:48,880
287
+ ูŠู…ูƒู†ู†ุง ุฃู† ู†ูˆุตูŠ ุจุงู„ู…ุฌู…ูˆุนุงุช ุจุงู„ู…ุฌู…ูˆุนุงุช
288
+
289
+ 73
290
+ 00:07:48,880 --> 00:07:57,140
291
+ ุงู„ุฃูˆู„ู‰ุŒ ู…ูƒุงู† ุงู„ู…ุฌู…ูˆุนุงุช N Plus One Over FourุŒ ุฅุฐุง
292
+
293
+ 74
294
+ 00:07:57,140 --> 00:08:01,400
295
+ ุชุฐูƒุฑ ุฃู† ุงู„ู…ุฌู…ูˆุนุงุช ูƒุงู†ุช N Plus One OverุŒ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
296
+
297
+ 75
298
+ 00:08:01,400 --> 00:08:08,540
299
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑุŒ ุงู„ู€ ุงู„ูˆุถุน ู„ู€ Q1 ู‡ูˆ N Plus One Over
300
+
301
+ 76
302
+ 00:08:08,540 --> 00:08:14,740
303
+ FourุŒ ู†ูู‚ุณู… N Plus One By FourุŒ ู„ุฃู† ู„ุฏูŠู†ุง ูƒูˆุงุฑุชุงูŠู„ุŒ
304
+
305
+ 77
306
+ 00:08:14,740 --> 00:08:20,340
307
+ ู„ุฏูŠู†ุง ุฃุฑุจุน ู‚ุทุนุŒ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ูู‚ุณู… N Plus One By
308
+
309
+ 78
310
+ 00:08:20,340 --> 00:08:25,420
311
+ FourุŒ ู„ุฐู„ูƒ ุงู„ูˆุถุน ู„ู€ Q1 ู‡ูˆ N Plus One Over FourุŒ ู„ุฐู„ูƒ
312
+
313
+ 79
314
+ 00:08:25,420 --> 00:08:28,520
315
+ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ู…ุฑุชุจุฉ ู…ู† ุงู„ุตุบูŠุฑ ุฅู„ู‰
316
+
317
+ 80
318
+ 00:08:28,520 --> 00:08:32,990
319
+ ุงู„ูƒุจูŠุฑุŒ ู„ู„ู€ Median ุฃูˆ ุงู„ู‚ุทุน ุงู„ุซุงู†ูŠุฉุŒ ุงู„ู‚ุทุน ุงู„ุซุงู†ูŠุฉ
320
+
321
+ 81
322
+ 00:08:32,990 --> 00:08:37,590
323
+ ุงู„ู‚ุทุน ู‡ูŠ ู†ูุณู‡ุง ูƒุงู„ู‚ุทุนุŒ ุงู„ู…ุตุทู„ุญ ู‡ูˆ N ุจู„ุณ ูˆุงุญุฏ ุนูƒุณ 2ุŒ
324
+
325
+ 82
326
+ 00:08:37,590 --> 00:08:45,270
327
+ ูƒู…ุง ูุนู„ู†ุง ุณุงุจู‚ู‹ุงุŒ ู„ู€ Q3ุŒ ุงู„ู…ูˆู‚ุน ู‡ูˆ ุงู„ุขู†ุŒ Q3 ู‡ูˆ
328
+
329
+ 83
330
+ 00:08:45,270 --> 00:08:49,850
331
+ ุงู„ุซุงู„ุซุŒ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ุถุฑุจ ู‡ุฐุง ุจุงู„ุซู„ุงุซุฉุŒ ู„ุฐู„ูƒ ุซู„ุงุซ ู…ุฑุงุช
332
+
333
+ 84
334
+ 00:08:49,850 --> 00:08:55,870
335
+ N ุจู„ุณ ูˆุงุญุฏ ุนูƒุณ 4ุŒ ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ูˆู‚ุน ู„ู„ู‚ุทุน ุงู„ุซุงู„ุซุŒ ุงู„ุขู†
336
+
337
+ 85
338
+ 00:08:55,870 --> 00:09:03,360
339
+ ุฅุฐุงุŒ ูˆุจุนุฏ ุฐู„ูƒ ุจุณู‡ูˆู„ุฉุŒ ู†ุณุชุฎุฏู… ุงู„ู‚ูŠุงู… ุจุงู„ู…ู‚ุงุฑู†ุฉ
340
+
341
+ 86
342
+ 00:09:03,360 --> 00:09:06,680
343
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ
344
+
345
+ 87
346
+ 00:09:06,680 --> 00:09:07,040
347
+ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
348
+
349
+ 88
350
+ 00:09:07,040 --> 00:09:07,720
351
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ
352
+
353
+ 89
354
+ 00:09:07,720 --> 00:09:08,200
355
+ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
356
+
357
+ 90
358
+ 00:09:08,200 --> 00:09:08,860
359
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ
360
+
361
+ 91
362
+ 00:09:08,860 --> 00:09:11,260
363
+ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
364
+
365
+ 92
366
+ 00:09:11,260 --> 00:09:12,660
367
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ
368
+
369
+ 93
370
+ 00:09:12,660 --> 00:09:23,140
371
+ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู„ู„ู…ู‚ุงุฑู†ุฉ
372
+
373
+ 94
374
+ 00:09:23,140 --> 00:09:24,400
375
+ ุงู„ู…ู†ุงุณุจุฉ ู„
376
+
377
+ 95
378
+ 00:09:27,250 --> 00:09:33,390
379
+ for these positionsุŒ ุจุชู‚ุณู… ุนุฏุฏ ุนู„ู‰ ุนุฏุฏุŒ ูŠุง ุฅู…ุง ุจูŠุทู„ุน
380
+
381
+ 96
382
+ 00:09:33,390 --> 00:09:40,410
383
+ ู…ุนุงูƒ ุนุฏุฏ ุตุญูŠุญุŒ ูŠุง ุฅู…ุง ุจูŠุทู„ุน ูƒุณุฑ ูˆู†ุตูุŒ ูŠุง ุฅู…ุง ุจูŠุทู„ุน ูƒุณุฑ
384
+
385
+ 97
386
+ 00:09:40,410 --> 00:09:45,750
387
+ ูุงุญู†ุง ุนู†ุฏู†ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู…ุธุจูˆุทุŒ ู„ู…ุง ุฃู‚ุณู… ู…ุซู„ุงู‹
388
+
389
+ 98
390
+ 00:09:45,750 --> 00:09:52,250
391
+ suppose n is nineุŒ ู„ูˆ ุจุฏูŠ ุฃุญูƒูŠ N Plus One Over FourุŒ
392
+
393
+ 99
394
+ 00:09:52,250 --> 00:09:59,150
395
+ ุจูŠุทู„ุน 2.5ุŒ ู‡ุฐุง ู†ุณู…ูŠู‡ fraction of halfุŒ ูƒุณุฑ
396
+
397
+ 100
398
+ 00:09:59,150 --> 00:10:08,370
399
+ ู†ุตุŒ ู…ู…ูƒู† ู„ูˆ ูƒุงู†ุช N Equal 10ุŒ 10
400
+
401
+ 101
402
+ 00:10:08,370 --> 00:10:16,690
403
+ Plus 1 For Example Over 4ุŒ 11 Over 4 ูƒุฏู‡ุŸ ู‡ุฐูˆู„
404
+
405
+ 102
406
+ 00:10:16,690 --> 00:10:25,160
407
+ 11 ุนู„ู‰ 4 ุฏูŠ ู‡ู… 2.75ุŒ ูˆุฃูƒุซุฑ ู…ุนูŠ fraction ู…ุด ู†ุตุŒ ู…ู…ูƒู†
408
+
409
+ 103
410
+ 00:10:25,160 --> 00:10:32,520
411
+ ูŠุทู„ุน ุฃุญูŠุงู†ู‹ุง 2.75ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.5ุŒ ู…ู…ูƒู† ุฃุญูŠุงู†ู‹ุง ูŠุทู„ุน 2ุŒ
412
+
413
+ 104
414
+ 00:10:32,520 --> 00:10:38,500
415
+ ู…ู…ูƒู† ูŠุทู„ุน
416
+
417
+ 105
418
+ 00:10:38,500 --> 00:10:47,860
419
+ 2.7ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู†
420
+
421
+ 106
422
+ 00:10:47,860 --> 00:10:49,480
423
+ ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2
424
+
425
+ 107
426
+ 00:10:49,480 --> 00:10:51,640
427
+ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู†
428
+
429
+ 108
430
+ 00:10:51,640 --> 00:10:54,640
431
+ ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ ู…ู…ูƒู† ูŠุทู„ุน 2.2ุŒ if the result
432
+
433
+ 109
434
+ 00:10:54,640 --> 00:11:03,140
435
+ is a whole numberุŒ ูŠุนู†ูŠ ุนุฏุฏ ุตุญูŠุญุŒ if the result is a
436
+
437
+ 110
438
+ 00:11:03,140 --> 00:11:05,820
439
+ whole numberุŒ then it is the rank position to use
440
+
441
+ 111
442
+ 00:11:05,820 --> 00:11:09,940
443
+ ู…ุนู†ุงู‡ ูƒุฏู‡ุŒ ู„ูˆ ุทู„ุน ู…ุนูŠ ุฒูŠ ูƒุฏู‡ ุงุชู†ูŠู†ุŒ ุจุณุชุฎุฏู… ุงู„ู…ูƒุงู†
444
+
445
+ 112
446
+ 00:11:09,940 --> 00:11:14,220
447
+ ุงู„ุซุงู†ูŠุŒ ุนู„ู‰ ุทูˆู„ ุจุฃุฎุฏู‡ุŒ ุงู„ู…ูˆู‚ุน ุงู„ุซุงู†ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ู€
448
+
449
+ 113
450
+ 00:11:14,220 --> 00:11:17,480
451
+ quarterlyุŒ ุฒูŠ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุŒ if the result is a
452
+
453
+ 114
454
+ 00:11:17,480 --> 00:11:23,360
455
+ fractional half ุฒูŠ 2.5ุŒ 7.5 and so onุŒ then average
456
+
457
+ 115
458
+ 00:11:23,360 --> 00:11:27,400
459
+ the two corresponding data valuesุŒ ู…ุง ุนู†ุฏูŠุด ุงุชู†ูŠู† ูˆ
460
+
461
+ 116
462
+ 00:11:27,400 --> 00:11:31,520
463
+ ู†ุตุŒ ุจุฃุฎุฐ ุฅูŠุดุŸ ุงู„ุงุชู†ูŠู† ูˆุงู„ุซู„ุงุซุฉุŒ ูˆุจุฃุฎุฐ ุงู„ู‚ูŠู… ุชุจุนุชู‡ุง
464
+
465
+ 117
466
+ 00:11:31,520 --> 00:11:37,100
467
+ ูˆุจุชุฃุฎุฐ ุงู„ู€ average ุชุจุนุชู‡ุงุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ุนู†ุฏูŠ 14 ูˆ 15
468
+
469
+ 118
470
+ 00:11:37,100 --> 00:11:44,500
471
+ ูˆ 16ุŒ ุทู„ุน ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ุŒ ู‡ุชุฃุฎุฐ ู…ูŠู†ุŸ ุงู„ู€ 15 ูˆุงู„ู€ 16
472
+
473
+ 119
474
+ 00:11:44,500 --> 00:11:49,360
475
+ ูˆุงู„ู€ average ุชุจุนุชู‡ุงุŒ ุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู†ุชูŠุฌุฉ ู†ู…ุจุฑ ูƒุงู…ุŒ ุฃูˆ
476
+
477
+ 120
478
+ 00:11:49,360 --> 00:11:50,160
479
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
480
+
481
+ 121
482
+ 00:11:50,160 --> 00:11:55,720
483
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
484
+
485
+ 122
486
+ 00:11:55,720 --> 00:11:59,300
487
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
488
+
489
+ 123
490
+ 00:11:59,300 --> 00:12:03,200
491
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
492
+
493
+ 124
494
+ 00:12:03,200 --> 00:12:05,420
495
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
496
+
497
+ 125
498
+ 00:12:05,420 --> 00:12:14,360
499
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…
500
+
501
+ 126
502
+ 00:12:15,970 --> 00:12:20,070
503
+ ุฎู„ูŠ ุจุงู„ูƒุŒ ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ุงู„ู€ positionsุŒ ุงู„ู…ูƒุงู†ุŒ ุงู„ู…ูˆุถูˆุน
504
+
505
+ 127
506
+ 00:12:20,070 --> 00:12:26,470
507
+ ู…ุด ุงู„ู€ locationุŒ ู…ุด ุงู„ู€ valuesุŒ ุฅุฐุง ู‡ุฏูˆู„ ู‡ูŠ ุงู„ู€
508
+
509
+ 128
510
+ 00:12:26,470 --> 00:12:30,090
511
+ positionsุŒ ุงู„ู€ positions could be either whole
512
+
513
+ 129
514
+ 00:12:30,090 --> 00:12:33,150
515
+ numberุŒ if it is whole number just use it as it isุŒ
516
+
517
+ 130
518
+ 00:12:33,150 --> 00:12:37,610
519
+ if it is fractional half ุฎุฐ ุงู„ู€ average for the two
520
+
521
+ 131
522
+ 00:12:37,610 --> 00:12:42,990
523
+ middle pointsุŒ ุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู†ุชุงุฆุฌ ุฑู‚ู… ูƒุงู… ุฃูˆ ู†ุตู ู†ุตู
524
+
525
+ 132
526
+ 00:12:42,990 --> 00:12:47,370
527
+ ูู‚ุท ุญูˆู„ ุงู„ู†ุชุงุฆุฌ ุฅู„ู‰ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุฃู‚ุฑุจ ู„ูƒูŠ ุชุฌุฏ ู…ูˆู‚ุน
528
+
529
+ 133
530
+ 00:12:47,370 --> 00:12:50,510
531
+ ุงู„ุฑู‚ู…ุŒ ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
532
+
533
+ 134
534
+ 00:13:01,450 --> 00:13:05,530
535
+ ู„ูˆ ู‡ูˆ ุงู„ุซุงู„ุซุŒ ุนู†ุฏูƒ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุงู„ุฃูˆู„ุŒ ุดูˆู ูƒูŠู
536
+
537
+ 135
538
+ 00:13:05,530 --> 00:13:09,930
539
+ ุชุนู…ู„ ุฅูŠู‡ ู‡ูˆู†ุŒ ุงู„ุฃูˆู„ N Plus One Over Four ู…ุธุจูˆุทุŒ ู‡ุฐุง
540
+
541
+ 136
542
+ 00:13:09,930 --> 00:13:15,990
543
+ ู…ูŠู† ุฅูŠู‡ oneุŒ ูˆ Q2 ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ุงู„ู…ูุฑูˆุถ ุงู„ู„ูŠ ุจุนุฏ๏ฟฝ๏ฟฝ
544
+
545
+ 137
546
+ 00:13:15,990 --> 00:13:20,990
547
+ ู…ูุฑูˆุถ N Plus One Over FourุŒ Plus N Plus One Over
548
+
549
+ 138
550
+ 00:13:20,990 --> 00:13:27,350
551
+ FourุŒ ุจูŠุทู„ุน ุนูŠุด ุฅู†ู‡ ุฑุจุน ุฑุจุน ู†ุตุŒ ูุจูŠุทู„ุน ู‡ุฐุง N Plus One
552
+
553
+ 139
554
+ 00:13:27,350 --> 00:13:36,510
555
+ Over TwoุŒ ุงู„ู„ูŠ ุจุนุฏู‡ N Plus One Over FourุŒ Four Equal
556
+
557
+ 140
558
+ 00:13:36,510 --> 00:13:40,330
559
+ segmentsุŒ ู‡ุฏูˆู„ ุฌู…ุนุชู‡ู… ูƒุฃู†ูƒ ุถุฑุจุชูŠ ููŠ ุชู„ุงุชุฉ
560
+
561
+ 141
562
+ 00:14:00,810 --> 00:14:05,090
563
+ keep in mind to find the median and these measures
564
+
565
+ 142
566
+ 00:14:05,090 --> 00:14:10,030
567
+ of quartilesุŒ you have to have ordered arrayุŒ ู„ุงุฒู…
568
+
569
+ 143
570
+ 00:14:10,030 --> 00:14:14,290
571
+ ูŠูƒูˆู† ุนู†ุฏูƒ ู‚ูŠู… ู…ุฑุชุจุฉุŒ ูŠุนู†ูŠ ู…ุง ูŠู†ูุนุด ุฃุดุชุบู„ ู‚ูŠู… ู…ุด
572
+
573
+ 144
574
+ 00:14:14,290 --> 00:14:18,290
575
+ ู…ุฑุชุจุฉุŒ ูˆุฃุทู„ุน ูˆุฃุดุชุบู„ุŒ ุงู„ุดุบู„ ู…ุด ุตุญุŒ ู„ุงุฒู… ุฃูˆู„ุงุŒ ูˆู„ุง
576
+
577
+ 145
578
+ 00:14:18,290 --> 00:14:23,890
579
+ ุฃุฑุชุจู‡ู…ุŒ ุฃุญูŠุงู†ู‹ุง ุงู„ู€ example ุงู„ู„ูŠ ุนู†ุฏูŠุŒ sample data in
580
+
581
+ 146
582
+ 00:14:23,890 --> 00:14:27,210
583
+ ordered array ู…ุฑุชุจ ุฃูŠุงู‡ู…ุŒ ูŠุนู†ูŠ ู„ูˆ ู…ุด ู…ุฑุชุจุงุช ููŠ
584
+
585
+ 147
586
+ 00:14:27,210 --> 00:14:33,520
587
+ ุงู„ุฃุตู„ ู„ุงุฒู… ุฃุฑุชุจู‡ู…ุŒ ูˆุงุถุญุŸ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุดูŠุฑู‡ุง ุตุญ ุจุณ
588
+
589
+ 148
590
+ 00:14:33,520 --> 00:14:38,520
591
+ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ู…ุด ุตุญุŒ ูุงู„ุดุบู„ ูƒู„ู‡ ู…ุด ุตุญุŒ ุฎู„ุงุตุŒ suppose
592
+
593
+ 149
594
+ 00:14:38,520 --> 00:14:47,500
595
+ we have this ordered reallyุŒ eleven twelve thirteen
596
+
597
+ 150
598
+ 00:14:47,500 --> 00:14:52,640
599
+ sixteen seventeen eighteen
600
+
601
+ 151
602
+ 00:14:57,730 --> 00:15:02,870
603
+ ุงู„ุขู† ู„ุฏูŠู†ุง ุฏุฑุงุณุฉ ุตุบูŠุฑุฉุŒ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ N ูŠู‚ู„ 9ุŒ ุงู„ุขู† ุฃูˆู„
604
+
605
+ 152
606
+ 00:15:02,870 --> 00:15:08,910
607
+ ู‚ุทุนุŒ ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู…ูˆู‚ุนุŒ ุงู„ู…ูˆู‚ุน ุงู„ุฃูˆู„ุŒ ู…ูˆู‚ุน ุงู„ู…ูˆู‚ุน
608
+
609
+ 153
610
+ 00:15:08,910 --> 00:15:16,910
611
+ ุงู„ุฃูˆู„ุŒ N Plus One Over FourุŒ N Plus One Over FourุŒ ุชุณุนุฉ 9
612
+
613
+ 154
614
+ 00:15:16,910 --> 00:15:21,470
615
+ Plus One Over FourุŒ 2.5ุŒ 2.5ุŒ ูŠุนู†ูŠ ู‡ู†ุง
616
+
617
+ 155
618
+ 00:15:21,470 --> 00:15:22,950
619
+ ู…ุธู‡ุฑุŸ
620
+
621
+ 156
622
+ 00:15:24,650 --> 00:15:28,790
623
+ ุฃู†ุง ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ 2.5ุŒ ุจูŠู†ู‡ู…ุŒ ู…ุน ูƒุฏู‡ ู‡ุงุฎุฏ
624
+
625
+ 157
626
+ 00:15:28,790 --> 00:15:35,170
627
+ ุงู„ุงุชู†ูŠู† ูˆุงู„ุซู„ุงุซุฉ ุนุดุฑุŒ ุฅุฐุง ู…ุน ูƒุฏู‡ Q1ุŒ ุฅุฐุง ู‡ุฐุง ุนุจุงุฑุฉ
628
+
629
+ 158
630
+ 00:15:35,170 --> 00:15:42,010
631
+ ุนู† ุฅูŠุดุŸ ุงู„ู€ locationุŒ ุงู„ู€ position ุฃูˆ locationุŒ ูˆุงุถุญ
632
+
633
+ 159
634
+ 00:15:42,010 --> 00:15:45,830
635
+ ุงู„ู€ 2.5ุŒ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ ุจุนู…ู„ู‡ุŒ ุจุฃุฎุฐ
636
+
637
+ 160
638
+ 00:15:45,830 --> 00:15:55,570
639
+ ุงู„ุงุชู†ูŠู† ูˆุงู„ุซู„ุงุซุฉ ุนุดุฑุŒ ู‡ุงุชูŠู†ุŒ ุฅุฐุง ุงู„ู€ Q1 ุนุจุงุฑุฉ ุนู† 12
640
+
641
+ 161
642
+ 00:15:55,570 --> 00:15:59,170
643
+ ูˆู†ุตู
644
+
645
+ 162
646
+ 00:15:59,170 --> 00:16:03,610
647
+ ุงู„ู„ูŠ
648
+
649
+ 163
650
+ 00:16:03,610 --> 00:16:13,290
651
+ ุจูŠุทู„ุนุŒ ุฃูƒูŠุฏ ู‡ูˆ N Plus One OverุŒ ูˆ
652
+
653
+ 164
654
+ 00:16:13,290 --> 00:16:19,490
655
+ ู‡ู†ุง ููŠ ู‡ุฐู‡ุŒ ู…ุง ุฃู†ุง ุญูƒูŠุชุŒ ุฃู†ุง ุบู†ูŠุชู‡ุง ู…ู† ุงู„ุฃูˆู„ุŒ ู„ูˆ ูƒุงู†ุช
656
+
657
+ 165
658
+ 00:16:19,490 --> 00:16:23,310
659
+ 2.5 ุจุฃุฎุฐ ุงู„ู€ average of the two corresponding data
660
+
661
+ 166
662
+ 00:16:23,310 --> 00:16:29,750
663
+ valuesุŒ ูŠุนู†ูŠ ุฏุงุฆู…ู‹ุง ุจุฃุฎุฐู‡ุงุŒ ุฒูŠ ู‡ุฐู‡ ุงู„ู€ Q2ุŒ N Plus One
664
+
665
+ 167
666
+ 00:16:29,750 --> 00:16:36,070
667
+ Over FourุŒ Over TwoุŒ ุงู„ู„ูŠ ู‡ูŠ Ten Over Two is Five
668
+
669
+ 168
670
+ 00:16:36,070 --> 00:16:39,790
671
+ Now Five is a whole numberุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ุฎุงู…ุณุฉ ุจุฃุฎุฐู‡ุง ุฒูŠ
672
+
673
+ 169
674
+ 00:16:39,790 --> 00:16:43,730
675
+ ู…ุง ู‡ูŠุŒ ุฏู‡ ูู‡ุฐู‡ Q2
676
+
677
+ 170
678
+ 00:16:48,350 --> 00:17:00,070
679
+ ุฃูˆ For Q3ุŒ 3 Plus N Plus 1 Over 4ุŒ ุจูŠุทู„ุน 7.5ุŒ one
680
+
681
+ 171
682
+ 00:17:00,070 --> 00:17:05,990
683
+ two three four five six seven point fiveุŒ ุจุฃุฎุฐ 18
684
+
685
+ 172
686
+ 00:17:05,990 --> 00:17:12,790
687
+ ูˆุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑูŠู†ุŒ ุงุชู†ูŠู†
688
+
689
+ 173
690
+ 00:17:12,790 --> 00:17:17,010
691
+ ุจูŠุทู„ุน
692
+
693
+ 174
694
+ 00:17:17,010 --> 00:17:17,950
695
+ 19.5
696
+
697
+ 175
698
+ 00:17:2
699
+
700
+ 216
701
+ 00:20:44,740 --> 00:20:50,100
702
+ ุงู„ู€ IQR Just focus on the middle 50%, it means it's
703
+
704
+ 217
705
+ 00:20:50,100 --> 00:20:52,640
706
+ not influenced by extreme values ุฅุฐุง ุงู„ู€ IQR
707
+
708
+ 218
709
+ 00:20:52,640 --> 00:20:57,100
710
+ ุจูŠุชุฃุซุฑุด ุจุงู„ู‚ูŠู… ุงู„ุดุงุฐุฉ ู…ุนู†ุงู‡ ูƒุฏู‡ if the data has an
711
+
712
+ 219
713
+ 00:20:57,100 --> 00:21:01,100
714
+ outlier, then we can use IQR as a measure of
715
+
716
+ 220
717
+ 00:21:01,100 --> 00:21:04,680
718
+ spread instead of using the range ุฅุฐุง ุจุณุชุฎุฏู… IQR
719
+
720
+ 221
721
+ 00:21:04,680 --> 00:21:10,390
722
+ ุจุฏู„ ู…ู† ุงู„ู€ Range, ุงู„ู€ IQR ู‡ูŠ ุนู…ู„ูŠุฉ ุชุบูŠูŠุฑ ุงู„ูˆุถุน ู…ุซู„ ุงู„ู€
723
+
724
+ 222
725
+ 00:21:10,390 --> 00:21:17,270
726
+ Range ุงู„ุชูŠ ู„ูŠุณุช ุจุชุฃุซุฑ ุจุงู„ุฃุนู„ู‰ ุฃูˆ ุฃุนู„ู‰ ู‚ูŠู… ุฃุฎุฑู‰
727
+
728
+ 223
729
+ 00:21:17,270 --> 00:21:21,070
730
+ ุงู„ู€ IQR
731
+
732
+ 224
733
+ 00:21:21,070 --> 00:21:24,550
734
+ ุนุจุงุฑุฉ
735
+
736
+ 225
737
+ 00:21:24,550 --> 00:21:25,950
738
+ ุนู† Q3-Q1
739
+
740
+ 226
741
+ 00:21:30,620 --> 00:21:34,800
742
+ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ุฃูŠุถู‹ุง ู„ุง ูŠุชุฃุซุฑูˆู† ู…ู†
743
+
744
+ 227
745
+ 00:21:34,800 --> 00:21:39,780
746
+ ู‡ุฐู‡ ุงู„ู‚ูŠู…. ูุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ูˆ ุฅุฐุง ู‡ูˆ ู…ุชุฃุซุฑุดุŒ
747
+
748
+ 228
749
+ 00:21:39,780 --> 00:21:44,000
750
+ ู…ุน ูƒุฏู‡ ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ู†ูุณู‡ุง ู…ุง ุจุชุชุฃุซุฑุด. ุฅุฐุง ุงู„ู‚ูŠุงุณุงุช
751
+
752
+ 229
753
+ 00:21:44,000 --> 00:21:51,160
754
+ ู…ุซู„ ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ูˆ IQR ู„ู… ูŠุชุฃุซุฑูˆุง ู…ู† ู‚ูŠู… ุฃุนุธู…ุŒ
755
+
756
+ 230
757
+ 00:21:51,160 --> 00:21:56,040
758
+ ูู‡ุฐู‡ ุงู„ู‚ูŠุงุณุงุช ุชุณู…ู‰ ู‚ูŠุงุณุงุช ู…ู‚ุงูˆู…ุฉ. ุฅุฐุง ุงู„ู€ measures
759
+
760
+ 231
761
+ 00:21:56,040 --> 00:21:59,660
762
+ which are not influenced by outliers, we call it
763
+
764
+ 232
765
+ 00:21:59,660 --> 00:22:05,300
766
+ resistant measures ู…ู‚ุงูŠูŠุณุŸ ู…ุด ู…ุนู†ู‰ resistantุŸ ู…ู‚ุงูˆู…ุฉ
767
+
768
+ 233
769
+ 00:22:05,300 --> 00:22:09,420
770
+ ูŠุนู†ูŠ ู‚ุงูˆู… ุงู„ู€ Outlier either it remains in the same
771
+
772
+ 234
773
+ 00:22:09,420 --> 00:22:12,540
774
+ position or nearly in the same position ูŠุนู†ูŠ ุจุชุจู‚ู‰
775
+
776
+ 235
777
+ 00:22:12,540 --> 00:22:17,400
778
+ ุชู‚ุฑูŠุจุง ููŠ ู†ูุณ ุงู„ู…ูƒุงู† ุฃูˆ ู…ู…ูƒู† ุดูˆูŠุฉ ู…ุด ูƒุชูŠุฑ ู…ุด ูƒุฏู‡
779
+
780
+ 236
781
+ 00:22:17,400 --> 00:22:20,860
782
+ ุจู†ูƒูˆู† ุจู†ุญูƒูŠ ุนู„ูŠู‡ุง less sensitive to extreme values
783
+
784
+ 237
785
+ 00:22:20,860 --> 00:22:30,490
786
+ so now we have some measures, ูˆ ุฏุนูˆู†ุง ู†ู‚ุฑุฑ ุจูŠู† ู‡ุฐู‡
787
+
788
+ 238
789
+ 00:22:30,490 --> 00:22:36,270
790
+ ุงู„ู…ุฌุงู„ุงุช ุงู„ุชูŠ ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุญุงู„ุฉ ูˆุฌูˆุฏ ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ ู„ูˆ
791
+
792
+ 239
793
+ 00:22:36,270 --> 00:22:43,110
794
+ ูƒุงู† ููŠ ุนู†ุฏู†ุง ู‚ูŠู… ุดุฏุฉ, ุฃุดูˆู ู…ูŠู† ุฃุณุชุฎุฏู… ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„
795
+
796
+ 240
797
+ 00:22:43,110 --> 00:22:47,310
798
+ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ุง ู„ุฏูŠู†ุง ุฎุทูˆุท
799
+
800
+ 241
801
+ 00:22:47,310 --> 00:22:55,890
802
+ ุฎุงุฑุฌูŠุฉ, ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ, ู†ุนู… ู‡ู†ุงูƒ ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ ุฃูˆ ุฃูˆ ู…ุฌู…ูˆุนุงุช
803
+
804
+ 242
805
+ 00:22:55,890 --> 00:23:06,710
806
+ ุบูŠุฑ ู…ูˆุฌูˆุฏุฉ, ู†ุญู† ู†ุชูƒู„ู… ุนู† Mean, Median, Median
807
+
808
+ 243
809
+ 00:23:06,710 --> 00:23:06,750
810
+ Median, Median, Median, Median, Median, Median
811
+
812
+ 244
813
+ 00:23:06,750 --> 00:23:08,550
814
+ Median, Median, Median, Median, Median, Median, Median
815
+
816
+ 245
817
+ 00:23:08,550 --> 00:23:12,450
818
+ Median, Median, Median, Median, Median, Median, Median
819
+
820
+ 246
821
+ 00:23:12,450 --> 00:23:12,570
822
+ Median, Median, Median, Median, Median, Median, Median
823
+
824
+ 247
825
+ 00:23:26,110 --> 00:23:33,430
826
+ IQR ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง Outlier, Outlier, Outlier, ู…ุณุชุฎุฏู…
827
+
828
+ 248
829
+ 00:23:33,430 --> 00:23:38,210
830
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
831
+
832
+ 249
833
+ 00:23:38,210 --> 00:23:38,990
834
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
835
+
836
+ 250
837
+ 00:23:38,990 --> 00:23:39,350
838
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
839
+
840
+ 251
841
+ 00:23:39,350 --> 00:23:40,650
842
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
843
+
844
+ 252
845
+ 00:23:40,650 --> 00:23:42,430
846
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
847
+
848
+ 253
849
+ 00:23:42,430 --> 00:23:52,730
850
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…
851
+
852
+ 254
853
+ 00:23:54,340 --> 00:24:05,260
854
+ ุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ุญุงู„ุฉ ุงุฎุฑุงุฌุงุช ุฃูˆ ู„ุง, ู„ุฐู„ูƒ
855
+
856
+ 255
857
+ 00:24:05,260 --> 00:24:11,500
858
+ ูŠุฌุจ ุฃู† ู†ู†ุงู‚ุด ุงุณุชุฎุฏุงู… ุงู„ุทุฑูŠู‚ุฉ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
859
+
860
+ 256
861
+ 00:24:11,500 --> 00:24:13,280
862
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
863
+
864
+ 257
865
+ 00:24:13,280 --> 00:24:16,760
866
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
867
+
868
+ 258
869
+ 00:24:16,760 --> 00:24:17,780
870
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
871
+
872
+ 259
873
+ 00:24:17,780 --> 00:24:17,860
874
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
875
+
876
+ 260
877
+ 00:24:17,860 --> 00:24:23,780
878
+ ุงู„ุงู†ุชุดุงุฑ ุงู„
879
+
880
+ 261
881
+ 00:24:24,480 --> 00:24:33,240
882
+ ู…ุด ุนู†ุฏูŠ ู‚ูŠู… ุดุงุฐุฉ, ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู€ Mean ุจุณุชุฎุฏู…ู‡ ู…ุด ู‡ูŠูƒ ูˆ
883
+
884
+ 262
885
+ 00:24:33,240 --> 00:24:41,180
886
+ avoid using the Median ูˆ ุจุณุชุฎุฏู… ุงู„ู€ Range ูˆ ุจุณุชุฎุฏู…
887
+
888
+ 263
889
+ 00:24:41,180 --> 00:24:43,260
890
+ ุงู„ู€ Variance ูˆ ุงู„ู€ Standard Deviation ูˆ ุงู„ู€ Mean ูˆ
891
+
892
+ 264
893
+ 00:24:43,260 --> 00:24:51,080
894
+ ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„, ู‡ุฐุง ุงู„ุฌุฏูˆู„ ุจูŠูˆุถุญ ู„ูƒ ู…ูŠู† ุฃุณุชุฎุฏู… ุงู„ู€
895
+
896
+ 265
897
+ 00:24:51,080 --> 00:24:54,680
898
+ measure in case of outlier or if the outlier don't
899
+
900
+ 266
901
+ 00:24:54,680 --> 00:24:59,460
902
+ or doesn't exist if there is only one now, which
903
+
904
+ 267
905
+ 00:24:59,460 --> 00:25:12,720
906
+ measure ุฃู†ุง
907
+
908
+ 268
909
+ 00:25:12,720 --> 00:25:21,390
910
+ ุจุญูƒูŠ ุฅุฐุง ู…ุง ููŠุด Outlier, ุงู„ุฃูุถู„ ุงุณุชุฎุฏุงู… ุงู„ู€ Mean, ุงู„ุทุจ
911
+
912
+ 269
913
+ 00:25:21,390 --> 00:25:25,030
914
+ ู…ุง ุจูŠุฃุซุฑุด, ู„ูƒู† ุงู„ุฃูุถู„ ุฃุณุชุฎุฏู… ู‡ุฏูˆู„ ูƒู„ุงู…ูƒ ุตุญ ู„ูˆ ู…ุด
915
+
916
+ 270
917
+ 00:25:25,030 --> 00:25:29,050
918
+ ู…ูˆุฌูˆุฏูŠู†, ุจู‚ุฏุฑ ุฃุณุชุฎุฏู… ู‡ุฏูˆู„ ู…ุง ููŠุด ู…ุดูƒู„ุฉ, ู„ูƒู† ุงู„ุฃูุถู„
919
+
920
+ 271
921
+ 00:25:29,050 --> 00:25:33,870
922
+ ุฃุณุชุฎุฏู… ุงู„ู€ Mean ูˆ ุงู„ู€ Range ูˆ ุงู„ู€ Variation ูˆ ุงู„ู€ SD
923
+
924
+ 272
925
+ 00:25:33,870 --> 00:25:38,450
926
+ ุงู„ุฃูุถู„, ู„ูƒู† ุฅุฐุง ู…ูˆุฌูˆุฏูŠู† ู„ุงุฒู… ุฃุจุนุฏ ุนู† ู‡ุฏูˆู„, ู„ุงุฒู… ู…ุฌุจุฑ
927
+
928
+ 273
929
+ 00:25:38,450 --> 00:25:41,210
930
+ ุฃุจุนุฏ, ู„ูƒู† ุฅุฐุง ู…ุด ู…ูˆุฌูˆุฏูŠู† ู„ุฃูˆ ุชู„ุงุชุฉ ู…ู…ูƒู† ุฃุณุชุฎุฏู… ุฃูŠ
931
+
932
+ 274
933
+ 00:25:41,210 --> 00:25:44,310
934
+ ูˆุงุญุฏ ู…ู†ู‡ู…, ู„ูƒู† ุงู„ุฃูุถู„ ุฃู†ูŠ ุฃุนู„ู…ูƒ ุนู„ูŠู‡ู…
935
+
936
+ 275
937
+ 00:25:51,920 --> 00:25:58,980
938
+ ุงู„ุขู† ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุจุณูŠุทุฉ ู„ุชุฎุทูŠุท IQR ุงู„ุขู†
939
+
940
+ 276
941
+ 00:25:58,980 --> 00:26:03,740
942
+ ู„ู„ู…ุซุงู„ ู‡ุฐุง ุงู„ู€ Q1
943
+
944
+ 277
945
+ 00:26:03,740 --> 00:26:11,660
946
+ ู‡ูˆ 30 ูˆ Q3 ู‡ูˆ 57, ูุงู„ู€ IQR
947
+
948
+ 278
949
+ 00:26:11,660 --> 00:26:20,680
950
+ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ู‡ุฐู‡ ุงู„ู‚ูŠู…, ูู‡ูˆ ูู‚ุท ุชุฎุทูŠุท ุจุณูŠุท, ุงู„ู€ IQR
951
+
952
+ 279
953
+ 00:26:21,420 --> 00:26:27,820
954
+ ู‡ูˆ ุจูŠู‚ูŠุณ 50% ู…ู† ุงู„ู…ู„ุงุญุธุงุช ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูู‚ุท
955
+
956
+ 280
957
+ 00:26:27,820 --> 00:26:36,420
958
+ 57 ู†ุงู‚ุต 30 ูŠุณุงูˆูŠ 27, ู‡ุฐุง ูƒูŠู ุงุญุณุจ ุงู„ู€ IQR, ุฅุฐุง ุงู„ู€
959
+
960
+ 281
961
+ 00:26:36,420 --> 00:26:41,500
962
+ IQR ูŠุจุฏูˆ ู…ุซู„ ุงู„ู€ Range, ุจุณ ุงู„ู€ Range ู„ุญุธุฉ ู„ูˆ ุจุชุญุณุจ ุงู„ู€
963
+
964
+ 282
965
+ 00:26:41,500 --> 00:26:41,980
966
+ Range ู‡ู†ุง
967
+
968
+ 283
969
+ 00:26:45,230 --> 00:26:54,050
970
+ maximum 70, minimum 5, ู‡ู†ุงูƒ ุงุฎุชู„ุงู ูƒุจูŠุฑ ุจูŠู† IQR ูˆ Range
971
+
972
+ 284
973
+ 00:26:54,050 --> 00:26:57,890
974
+ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุฑุจู…ุง ู„ุฏูŠู‡ุง ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ
975
+
976
+ 285
977
+ 00:26:57,890 --> 00:27:01,810
978
+ ูˆุงุถุญ ููŠ ูุฑู‚ ูƒุจูŠุฑ ุจูŠู†ู‡ู…, ุจุนุฏ ูƒุฏู‡ ู…ู…ูƒู† ูŠูƒูˆู† ููŠู‡ุง ุฎุทูˆุท
979
+
980
+ 286
981
+ 00:27:01,810 --> 00:27:06,470
982
+ ุฎุงุฑุฌูŠุฉ, ู„ุญุธุฉ ูƒู„ ูƒู„ุงู…ู‡ ู…ู…ูƒู† ู…ุญุฏุฏุชุด, ุฃู‚ุตุฏ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ
983
+
984
+ 287
985
+ 00:27:06,470 --> 00:27:10,450
986
+ ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ุง, ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุฅุฐุง ุชุชุฐูƒุฑ Z-score
987
+
988
+ 288
989
+ 00:27:12,270 --> 00:27:14,910
990
+ ุจุงุณุชุฎุฏุงู… ู‡ุฐุง ุงู„ู‚ุฑุงุฑ ูŠู…ูƒู†ูƒ ุฅู†ุชุงุฌ ุฅุฐุง ู‚ูŠู…ุฉ ู‡ุฐู‡
991
+
992
+ 289
993
+ 00:27:14,910 --> 00:27:17,210
994
+ ุงู„ุจูŠุงู†ุงุช ุชุนุชุจุฑ ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ
995
+
996
+ 290
997
+ 00:27:17,210 --> 00:27:19,510
998
+ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ
999
+
1000
+ 291
1001
+ 00:27:19,510 --> 00:27:22,170
1002
+ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณ
1003
+
1004
+ 292
1005
+ 00:27:22,170 --> 00:27:25,510
1006
+ ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ
1007
+
1008
+ 293
1009
+ 00:27:25,510 --> 00:27:25,930
1010
+ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌู‡
1011
+
1012
+ 294
1013
+ 00:27:25,930 --> 00:27:27,590
1014
+ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณ
1015
+
1016
+ 295
1017
+ 00:27:27,590 --> 00:27:31,130
1018
+ ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ
1019
+
1020
+ 296
1021
+ 00:27:31,130 --> 00:27:37,370
1022
+ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠุณุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู„ูŠ
1023
+
1024
+ 297
1025
+ 00:28:09,690 --> 00:28:15,690
1026
+ ู‡ู†ุนู…ู„ ู…ู„ุฎุต ุฎู…ุณ ู‚ูŠู…, ุงู„ู€ Five Number Summary, five
1027
+
1028
+ 298
1029
+ 00:28:15,690 --> 00:28:20,970
1030
+ numbers that he described, ุจุชุณุงุนุฏู†ูŠ ุฃุนุฑู ุงู„ู€ Center
1031
+
1032
+ 299
1033
+ 00:28:20,970 --> 00:28:27,730
1034
+ Spread and Shape, ู…ู…ูƒู† ุฃุนุฑู ุงู„ู€ Value in the middle
1035
+
1036
+ 300
1037
+ 00:28:27,730 --> 00:28:32,930
1038
+ ุฃุนุฑู ุงู„ู€ Variability ุงู„ุชุดุชุช ูˆ ุฃุนุฑู ุงู„ุดูƒู„, ุงู„ู€ Five
1039
+
1040
+ 301
1041
+ 00:28:32,930 --> 00:28:39,160
1042
+ Number Summary are, ุญุฏ ูŠุณู…ูŠู‡ X smallest, ุงู„ู‚ูŠู…ุฉ ุงู„ุฃู‚ู„
1043
+
1044
+ 302
1045
+ 00:28:39,160 --> 00:28:49,620
1046
+ ู‡ูŠ Q1, Median, Q3, and X largest, ุฏุนูˆู†ุง
1047
+
1048
+ 303
1049
+ 00:28:49,620 --> 00:28:55,740
1050
+ ู†ุฑู‰ ู…ุง ู‡ูŠ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ุงู„ุฎู…ุณุฉ ุงู„ุฑู‚ู…ูŠุฉ, ู‡ุฐุง
1051
+
1052
+ 304
1053
+ 00:28:55,740 --> 00:29:00,420
1054
+ ุงู„ุนุฑุถ ุจูŠุธู‡ุฑ ุงู„ุนู„ุงู‚ุงุช ุจูŠู† ุงู„ุชุนุฑูŠูุงุช ุงู„ุฎู…ุณุฉ ุงู„ุฑู‚ู…ูŠุฉ
1055
+
1056
+ 305
1057
+ 00:29:00,420 --> 00:29:06,100
1058
+ ูˆุนู„ุงู‚ุงุช ุงู„ู…ุดุงุฑูƒุฉ ุจุงู„ุฃุฎุต ู„ูŠู‡ู…, ุฅูŠุด ุงู„ุนู„ุงู‚ุงุช ุงู„ู„ูŠ
1059
+
1060
+ 306
1061
+ 00:29:06,100 --> 00:29:09,940
1062
+ ุจูŠู†ู‡ู…, ูˆ ุจูŠูˆุถุญ ุงู„ู€ Shape ุฅุฐุง ูƒุงู† Symmetric, Left
1063
+
1064
+ 307
1065
+ 00:29:09,940 --> 00:29:16,540
1066
+ Skewed, or Right Skewed, it's very hard to remember
1067
+
1068
+ 308
1069
+ 00:29:16,540 --> 00:29:21,380
1070
+ this table, so let's see how can we figure out the
1071
+
1072
+ 309
1073
+ 00:29:21,380 --> 00:29:24,160
1074
+ relationships among the five number summary and
1075
+
1076
+ 310
1077
+ 00:29:24,160 --> 00:29:28,600
1078
+ find the distribution shape just by looking at the
1079
+
1080
+ 311
1081
+ 00:29:28,600 --> 00:29:32,080
1082
+ figure itself, let's start with the Symmetric
1083
+
1084
+ 312
1085
+ 00:29:32,080 --> 00:29:40,110
1086
+ distribution, Symmetric it means ุงู„ู„ูŠ ู‡ูˆ ู…ุชู…ุซู„ ู„ูˆ
1087
+
1088
+ 313
1089
+ 00:29:40,110 --> 00:29:46,590
1090
+ ูƒุงู† ุนู†ุฏูŠ ู‡ู†ุง smallest, ูˆู‡ุฐู‡
1091
+
1092
+ 314
1093
+ 00:29:46,590 --> 00:29:50,250
1094
+ largest ู‡ู†ุง
1095
+
1096
+ 315
1097
+ 00:29:50,250 --> 00:29:54,170
1098
+ Q3, Q2
1099
+
1100
+ 316
1101
+ 00:29:54,170 --> 00:30:02,290
1102
+ Q1, ู‡ุงูŠ ุงู„ู€ Five Number Summary, smallest, largest
1103
+
1104
+ 317
1105
+ 00:30:02,290 --> 00:30:08,740
1106
+ ุงู„ุตุบูŠุฑ ูˆ ุงู„ูƒุจูŠุฑ ูˆ ููŠ ุนู†ุฏูƒ Q1, Q2 ูˆ Q3, ุงู„ู€ Symmetric
1107
+
1108
+ 318
1109
+ 00:30:08,740 --> 00:30:18,380
1110
+ ู…ุนู†ุงู‡ ุจุชุงุฎุฏ ุชู„ุงุช ุดุบู„ุงุช ููŠ ุงู„ุฃูˆู„, ุงู„ู€ Median minus
1111
+
1112
+ 319
1113
+ 00:30:18,380 --> 00:30:24,440
1114
+ smallest, ู‡ุงูŠ ุงู„ู€ Median, ู…ู„ุงุญุธ ู‡ุงูŠ ุงู„ู€ Median, ุงู„ู…ุณุงูุฉ
1115
+
1116
+ 320
1117
+ 00:30:24,440 --> 00:30:28,160
1118
+ ู‡ุฐู‡ ู‡ู†ุง ูˆ
1119
+
1120
+ 321
1121
+ 00:30:28,160 --> 00:30:33,320
1122
+ ุงู„ู…ุณุงูุฉ ู…ู† ุงู„ู€ Median ู„ุบุงูŠุฉ ุงู„ู€ Largest, ู‡ุฏูˆู„
1123
+
1124
+ 322
1125
+ 00:30:33,320 --> 00:30:37,580
1126
+ ุงู„ู…ุณุงูุชูŠู† ู…ุน ุจุนุถ ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถ, ุฅุฐุง ุฃุฎุฏ ููŠ ุงู„ุฃูˆู„
1127
+
1128
+ 323
1129
+ 00:30:37,580 --> 00:30:41,180
1130
+ ู…ุณุงูุฉ ู…ู† ุงู„ู€ Q2 ู„ุบุงูŠุฉ smallest, ู…ู† ุงู„ู€ Q2 ู„ู„
1131
+
1132
+ 324
1133
+ 00:30:41,180 --> 00:30:45,320
1134
+ largest, ุชูƒูˆู† ุญูˆุงู„ูŠ ุจุนุถ, ุฅุฐุง ุงู„ู€ Median minus
1135
+
1136
+ 325
1137
+ 00:30:45,320 --> 00:30:48,860
1138
+ smallest ุชู‚ุฑูŠุจุง ุจุชุณุงูˆูŠ largest ู†ุงู‚ุต ุงู„ู€ Median, ู‡ุฐุง
1139
+
1140
+ 326
1141
+ 00:30:48,860 --> 00:30:56,200
1142
+ ุฃูˆู„ ูˆุงุญุฏุฉ, ู„ูŠุด ุฃุฎุฏ ุงู„ุชุงู†ูŠุฉุŸ ุจุฏูŠ ุฃุฎุฏ ุงู„ุฃุทุฑุงู ุงู„ู„ูŠ ู‡ูŠ
1143
+
1144
+ 327
1145
+ 00:30:56,200 --> 00:31:05,130
1146
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุงู„ู…ู†ุทู‚ุฉ ู‡ู†ุง, ู…ุงุฐุง ู‚ู„ุช ุนู„ูŠู‡ู…ุŸ ุงู„ู€
1147
+
1148
+ 328
1149
+ 00:31:05,130 --> 00:31:10,930
1150
+ Q1 minus smallest, ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ุชู‚ุฑูŠุจุงู‹
1151
+
1152
+ 329
1153
+ 00:31:10,930 --> 00:31:13,590
1154
+ equal ู„ู…ูŠู†ุŸ ุงู„ู€ Largest minus Q3, ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง
1155
+
1156
+ 330
1157
+ 00:31:13,590 --> 00:31:18,230
1158
+ ุชู„ุงุญุธูˆุง ุทู„ุน ุงู„ู…ุณุงูุชูŠู† ู‡ุฐูˆู„ุŸ ุชู‚ุฑูŠุจุงู‹ ู…ุง ู„ู‡ู…ุŸ ุฒูŠ ุจุนุถ
1159
+
1160
+ 331
1161
+ 00:31:18,230 --> 00:31:22,730
1162
+ ู‡ุฐูŠู† ู„ูˆ ูƒุงู†ูˆุง Symmetric, ูŠุจุชุฏูˆุง ูˆุงุญุฏุฉ ุชุงู„ุชุฉ, Median
1163
+
1164
+ 332
1165
+ 00:31:22,730 --> 00:31:29,930
1166
+ minus Q1, ู‡ูŠ ุงู„ู€ Median, ุงู„ู…ุณุงูุฉ ู‡ุฐู‡, ุงู„ู…ุณุงูุฉ
1167
+
1168
+ 333
1169
+ 00:31:29,930 --> 00:31:39,290
1170
+ ู‡ุฐู‡, ุงู„ู…ุณุงูุฉ ุฏูŠ, ู…ุด ุนู„ุงู‚ุฉ ุชุจู‚ู‰ Q2 minus Q3, ุฒูŠ ุจุนุถ ุฅุฐุง
1171
+
1172
+ 334
1173
+ 00:31:39,290 --> 00:31:43,930
1174
+ Median minus Q1 is the same as Q3 minus Median, ุฅุฐุง
1175
+
1176
+ 335
1177
+ 00:31:43,930 --> 00:31:48,830
1178
+ ุงู„ู…ุณุงูุฉ ููŠ ุงู„ู†ุต ุญูˆุงู„ูŠ ุงู„ู€ Q2 ู…ุง ู„ู‡ู… ุฒูŠ ุจุนุถ, ุฅุฐุง ููŠ
1179
+
1180
+ 336
1181
+ 00:31:48,830 --> 00:31:54,930
1182
+ ู‡ุฐู‡ ุงู„ุชู„ุงุช ุดุบู„ุงุช, ุงู„ู€ Q2 ูˆ smallest, ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ
1183
+
1184
+ 337
1185
+ 00:31:54,930 --> 00:32:00,440
1186
+ ู‡ู†ุง ุฒูŠ ู…ูŠู†ุŸ ุงู„ู€ Largest ููŠ ุงู„ู€ Q2, ู‡ุฐู‡ ูˆุงุญุฏุฉ, ุจุนุฏูŠู†
1187
+
1188
+ 338
1189
+ 00:32:00,440 --> 00:32:04,460
1190
+ ุงู„ุฃุทุฑุงู ู‡ุฏูˆู„ ุฒูŠ ุจุนุถ, ูˆ ุงู„ู€ Fourth ู†ุต ุฒูŠ ุจุนุถ, ุฅุฐุง
1191
+
1192
+ 339
1193
+ 00:32:04,460 --> 00:32:08,540
1194
+ ุฃุชูู‡ู…ูŠู‡ุง ูƒูŠูุŸ ู…ู† ุงู„ู†ุต ู„ู„ูŠู…ูŠู† ุฎุงู„ุต ูˆ ู„ุดู…ุงู„ ุฎุงู„ุต ุฒูŠ
1195
+
1196
+ 340
1197
+ 00:32:08,540 --> 00:32:13,060
1198
+ ุจุนุถ, ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ, ูˆ ุงู„ุฃุทุฑุงู ุฒูŠ ุจุนุถ ูˆ
1199
+
1200
+ 341
1201
+ 00:32:13,060 --> 00:32:17,780
1202
+ ุงู„ู€ Fourth ู†ุต ุฒูŠ ุจุนุถ, ู„ูˆ ู‡ุฐุง ุงุชุญู‚ู‚, ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏูŠ ุฅูŠุดุŸ
1203
+
1204
+ 342
1205
+ 00:32:17,780 --> 00:32:21,540
1206
+ Symmetric, ุฅุฐุง ู†ุดูŠุจ Symmetric, ูˆ ุงู„ู€ Relationship
1207
+
1208
+ 343
1209
+ 00:32:21,540 --> 00:32:24,860
1210
+ among these five numbers are the same, ู„ุฃ, if you
1211
+
1212
+ 344
1213
+ 00:32:24,860 --> 00:32:27,640
1214
+ look here, Median minus smallest equal is roughly
1215
+
1216
+ 345
1217
+ 00:32:27,640 --> 00:32:31,560
1218
+ equal, and so on, that's for Symmetric Distribution
1219
+
1220
+ 346
1221
+ 00:32:31,560 --> 00:32:39,040
1222
+ ุฅุฐุง ู†ุฏู‰ ุฃูˆู„ ูˆุงุญุฏุฉ Symmetric, ุฑู‚ู…
1223
+
1224
+ 347
1225
+ 00:32:39,040 --> 00:32:48,140
1226
+ ุงุชู†ูŠู†, ู†ุงุฎุฏ ุงู„ู€ Left, ุฅูŠุด ู…ุนู†ู‰ Left SkewedุŸ ูŠุนู†ูŠ ุนู„ู‰
1227
+
1228
+ 348
1229
+ 00:32:48,140 --> 00:32:52,670
1230
+ ุงู„ุดู…ุงู„ ุฃูƒุชุฑ, ูŠุนู†ูŠ ุฃู†ุง ู‡ุงุฎุฏ ู‡ูŠูƒ, ู‡ุทูˆู„ ุงู„ู„ูŠ ุงูุชู‰, ู„ุญุธุฉ
1231
+
1232
+ 349
1233
+ 00:32:52,670 --> 00:32:57,570
1234
+ ู‡ุทูˆู„ู‡ ู‡ูŠูƒ, ูˆ ุงู„ูŠู…ูŠู† ุฃุตุบุฑ, ูˆ ุงู„ูŠู…ูŠู† ุฃุตุบุฑ, ูŠุนู†ูŠ ุจุชุงุฎุฏ
1235
+
1236
+ 350
1237
+ 00:32:57,570 --> 00:33:03,130
1238
+ ู‡ูŠูƒ ุชูƒูˆู† ุทูˆูŠู„ุฉ ุฎุงู„ุต, ุญุชู‰ ุญุชู‰ ุงู„ู€ Q2 ุจุชุญุทู‡ุง ุจุนูŠุฏ ูˆ ู‡ูŠ
1239
+
1240
+ 351
1241
+ 00:33:03,130 --> 00:33:10,230
1242
+ Q3 ูˆ Q1 ูˆ ู‡ูŠ ุงู„ู€ .. ูˆ ู‡ูŠ ุงู„ู€ Left ุชุญุช ู†ูุณ ุงู„ู€ Data
1243
+
1244
+ 352
1245
+ 00:33:10,230 --> 00:33:14,630
1246
+ ูŠุนู†ูŠ ู…ุงุดูŠ ู†ูุณ ุงู„ู†ุธุงู… ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ุฃู†ุง .. ุฃู†ุง ู…ุด
1247
+
1248
+ 353
1249
+ 00:33:14,630 --> 00:33:19,460
1250
+ ู‡ู‚ุฑุฃ ู…ู† ู‡ู†ุง, ู‡ู‚ุฑุฃ ู…ู† ุงู„ุฑุณู…ุฉ, ุญูƒูŠ ุฃู† ุฃุฎุฏ ู…ู† Q2
1251
+
1252
+ 354
1253
+ 00:33:19,460 --> 00:33:23,000
1254
+ ู„ู„ู€ Largest ูˆ ู„ู„ู€ Smallest, ู„ุญุธุฉ, ุฃู†ุง ู‡ู‚ุฑุฃ ู…ู† ู‡ู†ุง, ู‡ูŠ
1255
+
1256
+ 355
1257
+ 00:33:23,000 --> 00:33:31,440
1258
+ X smallest ูˆ ู‡ูŠ Q2, Q2 ู†ุงู‚ุต X smallest, ุงู„ู…ุณุงูุฉ ู‡ุฐู‡
1259
+
1260
+ 356
1261
+ 00:33:31,440 --> 00:33:39,160
1262
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† Largest ู†ุงู‚ุต Q2, ู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุญุฏุฉ ุงู„ู„ูŠ
1263
+
1264
+ 357
1265
+ 00:33:39,160 --> 00:33:44,180
1266
+ ู‡ูŠ ุงู„ุฃูˆู„ู‰ ุงู„ู…ูƒุชูˆุจุฉ ู‡ู†ุง, Median ู†ุงู‚ุต Smallest ุฃูƒุจุฑ ู…ู†
1267
+
1268
+ 358
1269
+ 00:33:44,180 --> 00:33:49,260
1270
+ Largest minus Median, ุจุนุฏูŠู† ุงู„ุฃุทุฑุงู, ุงู„ุฃุทุฑุงู ููŠ
1271
+
1272
+ 359
1273
+ 00:33:49,260 --> 00:33:55,320
1274
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุงู„ุฃุทุฑุงู ู‡ูŠ ุงู„ุทุฑู ุงู„ุชุงู†ูŠ, ู‡ุฐู‡
1275
+
1276
+ 360
1277
+ 00:33:55,320 --> 00:34:00,520
1278
+ ู…ุนู†ุงู‡ ุฅูŠุด ุฃู†ุง ุจุฏุฃ ุฃู‚ุฑุฃ, ุงู†ุชุจู‡ ู…ุนุงู‡ ู‡ู†ุง, Q1 minus X
1279
+
1280
+ 361
1281
+ 00:34:00,520 --> 00:34:04,760
1282
+ smallest, ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃูƒุจุฑ ู…ู† Largest minus Q3
1283
+
1284
+ 362
1285
+ 00:34:04,760 --> 00:34:10,660
1286
+ ุจุชุงู‡ู… ุฅูŠุดุŸ ุงู„ู€ Fourth ูˆ ุงู„ู†ุต ูˆ 150%, ุงู„ู€ Fourth, ุงู„ู…ู†ุทู‚ุฉ
1287
+
1288
+ 363
1289
+ 00:34:10,660 --> 00:34:24,100
1290
+ ุงู„ู„ูŠ ู‡ู†ุง, Q2-Q1, Median-Q1, ุฃูƒุจุฑ ู…ู† Q3-Q1, Q2 ู…ุธุจูˆุท ุทูŠุจ
1291
+
1292
+ 364
1293
+ 00:34:24,100 --> 00:34:30,240
1294
+ ุจุฏูŠ ูˆุงุญุฏุฉ ุชุฑุณู…ูŠ ุงู„ุชุงู„ุชุฉ ูˆ ุงุชุนู„ู‚ ุนู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูŠ
1295
+
1296
+ 365
1297
+ 00:34:30,240 --> 00:34:35,460
1298
+ Right Skewed, ู‡ูŠ ุชู„ุงุชุฉ, ุงุฑุณู…ู‡ุง ู‡ู†ุง, ุงู„ุชู„ุงุชุฉ, ู‡ุฐุง Left
1299
+
1300
+ 366
1301
+ 00:34:35,460 --> 00:34:38,960
1302
+ ุชู„ุงุชุฉ, Right Skewed
1303
+
1304
+ 367
1305
+ 00:34:40,740 --> 00:34:44,120
1306
+ Right Tail, ูŠุนู†ูŠ ุงู„ุทุฑู ุงู„ุฃุทูˆู„ ู‡ูˆ ุงู„ุฃูŠู…ู†, ูŠุนู†ูŠ the
1307
+
1308
+ 368
1309
+ 00:34:44,120 --> 00:34:46,740
1310
+ Right Tail is longer than Left Tail
1311
+
1312
+ 369
1313
+ 00:35:18,040 --> 00:35:27,440
1314
+ ู…ู…ุชุงุฒ, ุงู„ุฑุณู… ูƒุฏู‡ ุตุญ, ู„ุญุธุฉ, ุงู„ุทุฑู ุงู„ุงูŠู…ู† ุฃุทูˆู„
1315
+
1316
+ 370
1317
+ 00:35:27,440 --> 00:35:29,420
1318
+ ูŠุนู†ูŠ ุงู„ู€ Right Tail longer than Left Tail
1319
+
1320
+ 371
1321
+ 00:35:45,130 --> 00:35:48,530
1322
+ ู„ุฃู†ู‡ุง ุณุชู‚ุฑุฃ ุงู„ุชู„ุงุช ุนู„ุงู‚ุงุช ุชุงุจุนุฉ ุนู„ูŠู‡ุง, ุนู„ู‰ ุงู„ูŠู…ูŠู†
1323
+
1324
+ 372
1325
+ 00:35:48,530 --> 00:36:01,550
1326
+ ุฅุฐุง
1327
+
1328
+ 373
1329
+ 00:36:01,550 --> 00:36:10,270
1330
+ ุฃูˆู„ ูˆุงุญุฏุฉ, ุงู„ู€ Largest minus Q2 greater than Q2
1331
+
1332
+ 374
1333
+ 00:36:10,270 --> 00:36:14,240
1334
+ minus Smallest, ูŠุนู†ูŠ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆุงุถุญุฉ ุฃูƒุจุฑ
1335
+
1336
+ 375
1337
+ 00:36:14,240 --> 00:36:18,220
1338
+ ุจูƒุซูŠุฑ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง, ู‡ุฐุง ู…ุนู†ุงู‡ Right Skewed, ุชุงู†ูŠ
1339
+
1340
+ 376
1341
+ 00:36:18,220 --> 00:36:25,440
1342
+ ูˆุงุญุฏุฉ ู…ู…ุชุงุฒ
1343
+
1344
+ 377
1345
+ 00:36:25,440 --> 00:36:31,340
1346
+ Q1 minus Smallest, ุงุชุฎุฐู†ุง ุงู„ุฃุทุฑุงู ุงู„ู„ูŠ ู‡ูˆ Largest
1347
+
1348
+ 378
1349
+ 00:36:31,340 --> 00:36:35,660
1350
+ minus Q3, ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃุทูˆู„ ู…ู† Q1 minus X
1351
+
1352
+ 379
1353
+ 00:36:35,660 --> 00:36:38,120
1354
+ smallest, ุจุชุงู‡ู… ุงู„ุชุงู„ุชุฉ ููŠ ุงู„ู†ุต
1355
+
1356
+ 380
1357
+ 00:36:42,380 --> 00:36:46,160
1358
+ ู…ู…ุชุงุฒุฉ, ู‡ุงูŠ ุงู„ุชู„ุงุช ุญุงู„ุงุช ุฅุฐุง ู…ุงู‡ุง ูƒุฏู‡ ู…ุง ููŠุด ุฏุงุนูŠ ุฅู†
1359
+
1360
+ 381
1361
+ 00:36:46,160 --> 00:36:53,080
1362
+ ุงุญูุธ ุงู„ู€ Table, ุงุฑุณู… ุงู„ุฑุณู… ุตุญ ู‡ุชุนุฑู ุงู„ุชู„ุงุช ุตุญ ูˆุงุถุญุŸ
1363
+
1364
+ 382
1365
+ 00:36:53,080 --> 00:36:56,540
1366
+ ููŠ ุงู„ุฎู„ุงุตุฉ ููŠ ุงู„ู€ Left Skewed always we have
1367
+
1368
+ 383
1369
+ 00:36:56,540 --> 00:37:00,580
1370
+ positive greater than, ููŠ ุงู„ู€ Right we have smaller
1371
+
1372
+ 384
1373
+ 00:37:00,580 --> 00:37:04,960
1374
+ than, ููŠ ุงู„ู€ Symmetric roughly equal, ู‡ุงูŠ ุงู„ุนู„ุงู‚ุฉ ู…ุง
1375
+
1376
+ 385
1377
+ 00:37:04,960 --> 00:37:05,980
1378
+ ุจูŠู† ุงู„ุชู„ุงุชุฉ
1379
+
1380
+ 386
1381
+ 00:37:10,820 --> 00:37:16,540
1382
+ Any question? ููŠ
1383
+
1384
+ 387
1385
+ 00:37:16,540 --> 00:37:23,280
1386
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู†ู…ุณุญู‡ู… ูˆ ู†ุบุทูŠ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุจุฏูŠ ุชู„ุงุชุฉ
1387
+
1388
+ 388
1389
+ 00:37:23,280 --> 00:37:28,580
1390
+ ู…ู†ูƒู… ูŠุนูŠุฏูˆู‡ู… ูˆุงุญุฏุฉ
1391
+
1392
+ 389
1393
+ 00:37:28,580 --> 00:37:32,140
1394
+ ุชุทู„ุน ุชู…ุณุญ ูˆ ุชูƒู…ู„ ุชุนู…ู„ูŠ ุงู„ู€ Symmetric ููŠ ุงู„ุฃูˆู„
1395
+
1396
+ 390
1397
+ 00:37:40,170 --> 00:37:44,030
1398
+ ุจุชุนูˆุฏ ูƒู„ ู„ู‚ุงุก ูŠุนู†ูŠ ู„ู…ุง ุฃุดุฑุญ ุดุบู„ุฉ ู…ุนูŠู†ุฉ ูˆ ุดุบู„ุฉ ุฒูŠู‡ุง
1399
+
1400
+ 391
1401
+ 00:37:44,030 --> 00:37:51,350
1402
+ ุงู†ุช .. ุงู†ุช ููŠ ุณู„ู†ุชูƒ ุชุนู…ู„ูŠู‡ุง ุงู…ุณุญูŠู‡ู…
1403
+
1404
+ 392
1405
+ 00:37:51,350 --> 00:37:56,390
1406
+ ู„ุง ุชุงุฎุฏูŠู‡ุง ุงู„ุญู„ู‚ุฉ ุงู„ุฃูˆู„ู‰ ุณู…ูŠู‡ุง Symmetric
1407
+
1408
+ 393
1409
+ 00:38
1410
+
1411
+ 431
1412
+ 00:41:26,330 --> 00:41:32,150
1413
+ ู…ู…ุชุงุฒุฉุŒ ุงู†ุชู‚ู„ุช ุงู„ minimum value ูˆ ุฃู†ุง ู‡ุฃูุฒูŽุบู‘ูุฑ ุงู„
1414
+
1415
+ 432
1416
+ 00:41:32,150 --> 00:41:35,590
1417
+ maximum value ุจุณ ุฃุนุทูŠู†ูŠ ุงุณู… ุนู„ูŠู‡ู… ุฎู„ุงุต
1418
+
1419
+ 433
1420
+ 00:41:48,690 --> 00:42:02,090
1421
+ Q1 ู…ุธุจูˆุท ู‡ูŠูƒ ุงุชู„ุงุญุธ
1422
+
1423
+ 434
1424
+ 00:42:02,090 --> 00:42:08,690
1425
+ ุจุณ ู‡ูŠ ุดู‡ุฏ ุขู‡ ุชุจุนุฏูŠู‡ุง ุดูˆูŠุฉ ูƒูˆูŠุณ ูŠุนู†ูŠ ุฃู†ุง ู…ู† ูุชุฑุฉ
1426
+
1427
+ 435
1428
+ 00:42:08,690 --> 00:42:15,740
1429
+ ุงู„ู„ูŠ ู‚ู„ุช ููŠ ุงู„ุฏุฑุงุณุฉ ุงู„ูˆุงุญุฏุฉ ุงู„ Q1 ูˆ ุงู„ู€ X smallest ู„ุฃ
1430
+
1431
+ 436
1432
+ 00:42:15,740 --> 00:42:22,280
1433
+ ู„ุฃ ูƒุฏู‡ ุตุญ ุจุชู†ูุน ู…ุง ููŠุด ู…ุดูƒู„ุฉ ุงู„ medium minus ุงู„ู€ X
1434
+
1435
+ 437
1436
+ 00:42:22,280 --> 00:42:27,940
1437
+ smallest ู‡ู… ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ X largest
1438
+
1439
+ 438
1440
+ 00:42:27,940 --> 00:42:30,940
1441
+ minus ุงู„ medium ุงู„ู…ู…ุชุงุฒ ุฅุฐุง ุฃู†ุง ุจุงู„ูˆุงุญุฏุฉ ุงู„ medium
1442
+
1443
+ 439
1444
+ 00:42:30,940 --> 00:42:35,160
1445
+ minus smallest ุฃูƒุจุฑ ู…ู† ุงู„ largest minus ุงู„ medium
1446
+
1447
+ 440
1448
+ 00:42:35,160 --> 00:42:38,960
1449
+ ุฃู†ุง ุฏุงุฎู„ ุงู„ุฃุทุฑุงู ุฎุงู„ุต ู…ู† ุงู„ู†ุต ู„ู„ุขุฎุฑ ุชุงู†ูŠ
1450
+
1451
+ 441
1452
+ 00:42:54,150 --> 00:42:59,050
1453
+ ู…ู…ุชุงุฒุฉ ุฅุฐุง ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง Q1 ุนู† ุงู„ smallest ุฃูƒุจุฑ
1454
+
1455
+ 442
1456
+ 00:42:59,050 --> 00:43:03,830
1457
+ ู…ู† ุงู„ largest minus Q3 ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„ left skewed
1458
+
1459
+ 443
1460
+ 00:43:03,830 --> 00:43:05,430
1461
+ ุจุชุนู…ู„ ููŠ ุงู„ู†ุต
1462
+
1463
+ 444
1464
+ 00:43:11,560 --> 00:43:15,620
1465
+ Q1 ู…ู…ุชุงุฒ ุฅุฐุง ู‡ุฏูˆู„ ุงู„ relationships among the five
1466
+
1467
+ 445
1468
+ 00:43:15,620 --> 00:43:19,320
1469
+ numbers similar for symmetric and left ุชู…ุช ูˆุงุญุฏุฉ
1470
+
1471
+ 446
1472
+ 00:43:19,320 --> 00:43:23,520
1473
+ ุงู„ right ูŠุนู†ูŠ ููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ู‚ู„ุช ู„ูƒ ูŠูˆู… multiple
1474
+
1475
+ 447
1476
+ 00:43:23,520 --> 00:43:29,700
1477
+ choice ุตุนุจ ุชุญูุธูŠู‡ู… ุงุฑุณู… ุงู„ุฑุณู… ุตุญ ุจุณ ุฎู„ูŠ ุจุงูƒ ุฏุงูŠู…ุง
1478
+
1479
+ 448
1480
+ 00:43:29,700 --> 00:43:32,880
1481
+ ุงู„ู…ุณุงูุฉ ุจุชูƒูˆู† ู…ู† ุงู„ูƒุจูŠุฑ ู„ู„ุตุบูŠุฑ ู…ุด ุงู„ุนูƒุณ ูŠุนู†ูŠ ุฃุญูƒูŠ
1482
+
1483
+ 449
1484
+ 00:43:32,880 --> 00:43:38,030
1485
+ largest ู†ุงู‚ุต Q3 ู…ุง ุงุญูƒูŠุด Q3 minus largest ูˆุงุถุญุŸ ู„ูƒุจูŠุฑ
1486
+
1487
+ 450
1488
+ 00:43:38,030 --> 00:43:43,530
1489
+ ู†ุงู‚ุต ุตุญูŠุญ ู‡ูŠ ู‡ุชุนู…ู„ ุขุฎุฑ ูˆุงุญุฏุฉ ุงูƒุชุจ ุนู„ูŠู‡ุง ุซู„ุงุซุฉ ุจุณ
1490
+
1491
+ 451
1492
+ 00:43:43,530 --> 00:43:48,690
1493
+ ุงูƒุชุจ ุนู„ูŠู‡ุง ุซู„ุงุซุฉ ุงู„ right skewed ู‡ุชุฃุฎุฐ ุงู„ุทุฑู
1494
+
1495
+ 452
1496
+ 00:43:48,690 --> 00:43:53,630
1497
+ ุงู„ุฃุทูˆู„ ู‡ูˆ ุงู„ุฃูŠู…ู† ู‡ุชูุฒูŽุบู‘ูุฑ ุงู„ุดู…ุงู„ ุงู„ู…ูุฑูˆุถ ูˆ ุชูƒุจุฑ ุฅู„ู‰
1498
+
1499
+ 453
1500
+ 00:43:53,630 --> 00:43:58,570
1501
+ ุฃุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ูŠู…ูŠู† ุงู„ุญู‚ูŠู‚ูŠ ู…ุด ุทูˆูŠู„ ูˆ ุงู„ู€ Q2 ุฎู„ูŠู‡
1502
+
1503
+ 454
1504
+ 00:43:58,570 --> 00:44:06,370
1505
+ ู‡ู†ุง ุฌุงูŠ ูˆ ุฏู‡ ุทูˆู„ ุชุงุฎุฏู‡ ูƒุฏู‡ ุดูˆูŠุฉ ู„ุญุธุฉ ุทูˆู„ุช ุงู„ุฃูŠู…ู†
1506
+
1507
+ 455
1508
+ 00:44:06,370 --> 00:44:28,930
1509
+ ุจุนุฏู‡ุง ุชุนู†ูŠ Q2 ุตุงุฑ ุงู„ุทุฑู ุงู„ุฃูŠู…ู† ู‡ูˆ ุงู„ุฃุทูˆู„ ุฎู„ูŠู†ุง
1510
+
1511
+ 456
1512
+ 00:44:28,930 --> 00:44:29,570
1513
+ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1514
+
1515
+ 457
1516
+ 00:44:36,360 --> 00:44:42,100
1517
+ ุฒู…ูŠู„ุชูƒ ูˆูŠุง ุจุชุดุฑุญ ู„ูƒ ุฃู†ุช ุจุณู„ุงู…ุชูƒ ุชู‡ุฏูŠ ูˆ ุชุณูƒุช ุนุดุงู†
1518
+
1519
+ 458
1520
+ 00:44:42,100 --> 00:44:52,080
1521
+ ุชุณู…ุน ุตูˆุชู‡ุง ุฃุฎุฐุช
1522
+
1523
+ 459
1524
+ 00:44:52,080 --> 00:44:58,420
1525
+ ู„ู„ุทุฑู X largest minus Q3 is greater than Q1 minus
1526
+
1527
+ 460
1528
+ 00:44:58,420 --> 00:45:00,260
1529
+ X smallest ู‡ุฐุง ุจุงู„ูˆุงุญุฏุฉ
1530
+
1531
+ 461
1532
+ 00:45:12,970 --> 00:45:19,890
1533
+ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุงู„ู…ุณุงูุฉ ุจูŠู† Q3-Q2 ุฃูƒุซุฑ ู…ู† Q2-Q1
1534
+
1535
+ 462
1536
+ 00:45:33,510 --> 00:45:40,390
1537
+ ุขุฎุฑ ูˆุงุญุฏุฉ ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู†
1538
+
1539
+ 463
1540
+ 00:45:40,390 --> 00:45:40,570
1541
+ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2
1542
+
1543
+ 464
1544
+ 00:45:40,570 --> 00:45:40,970
1545
+ ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ
1546
+
1547
+ 465
1548
+ 00:45:40,970 --> 00:45:42,130
1549
+ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2
1550
+
1551
+ 466
1552
+ 00:45:42,130 --> 00:45:46,130
1553
+ ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2
1554
+
1555
+ 467
1556
+ 00:45:46,130 --> 00:45:51,590
1557
+ ุฃูƒุซุฑ ู…ู† Q2 ุฃูƒุซุฑ ู…ู† Q2
1558
+
1559
+ 468
1560
+ 00:45:51,590 --> 00:45:51,770
1561
+ ุฃูƒุซุฑ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/1kM7TMpfKfw_postprocess.srt ADDED
@@ -0,0 +1,1872 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,840 --> 00:00:26,640
3
+ ุงู„ุฌุฒุก ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ู…ุน ุงู„ kurtzes ู‡ุฐุงุŒ ู‡ุฐุง ู…ุด
4
+
5
+ 2
6
+ 00:00:26,640 --> 00:00:30,800
7
+ ุนุงูŠุฒู‡ุŒ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุตุบูŠุฑุฉุŒ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ู‡ุฐู‡
8
+
9
+ 3
10
+ 00:00:30,800 --> 00:00:35,120
11
+ ุงู„ู…ู†ุทู‚ุฉ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ kurtzesุŒ ู‡ุฐู‡ ู…ุด
12
+
13
+ 4
14
+ 00:00:35,120 --> 00:00:41,640
15
+ ุนุงูŠุฒูŠู†ู‡ุง ูˆ
16
+
17
+ 5
18
+ 00:00:41,640 --> 00:00:47,030
19
+ ู‡ุฐู‡ ุงู„ slide ู…ุด ุนุงูŠุฒู‡ุŒ ู‡ุฐู‡ ู…ุด ุนุงูŠุฒู‡ุชุนูŠุฒูˆ
20
+
21
+ 6
22
+ 00:00:58,790 --> 00:01:14,610
23
+ ู…ุงุจุฏูŠุด ุฃุดุฑุญู‡ุง .. ู…ุงุจุฏูŠุด ุฃุดุฑุญู‡ุง ุงุดุฑุญุช
24
+
25
+ 7
26
+ 00:01:14,610 --> 00:01:18,130
27
+ ุฃู†ุช ุงู„ุทู„ุงุจ ู…ุด ู„ุงุฒู… ุฃุดุฑุญู‡ู… ุฃู†ุชู… ูŠุนู†ูŠ ุงู„ุชุจุฑูŠุฏ ู…ุด
28
+
29
+ 8
30
+ 00:01:18,130 --> 00:01:22,230
31
+ ู…ู‚ุฑุฑ ุนู„ูŠูƒู… slide ูˆุงุญุฏุฉ ู…ุด ุนุงุฑู ุณู„ุฒู…ูŠุชูƒ ุงู„ู„ูŠ ูƒุงู†ุช
32
+
33
+ 9
34
+ 00:01:22,230 --> 00:01:31,960
35
+ ุชุชุจุน ู…ุนุงูƒุงุณุฃู„ูŠู‡ู… ูŠุฌูŠุจูˆุง ุงู„ุฌูˆุงุจ ุงู„ูŠูˆู…
36
+
37
+ 10
38
+ 00:01:31,960 --> 00:01:42,920
39
+ ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ุจุฏุฃ ุฃูƒู…ู„ ู…ูˆุถูˆุน a new topic is called
40
+
41
+ 11
42
+ 00:01:42,920 --> 00:01:48,320
43
+ quartile measures definition
44
+
45
+ 12
46
+ 00:01:48,320 --> 00:01:58,220
47
+ of quartile measuresุงู„ู€ Quartiles ู…ุนู†ุงู‡ุง ู…ู‚ุงูŠูŠุณ
48
+
49
+ 13
50
+ 00:01:58,220 --> 00:02:01,460
51
+ ุงู„ู…ู‚ุงูŠูŠุณ
52
+
53
+ 14
54
+ 00:02:01,460 --> 00:02:08,960
55
+ ุงู„ุฑุจุนูŠุฉ ุงู„ู…ู‚ุงูŠูŠุณ ุงู„ุฑุจุนูŠุฉ Quartiles
56
+
57
+ 15
58
+ 00:02:08,960 --> 00:02:15,240
59
+ ู…ุนู†ุงู‡ุง ุฃุฑุจุนุฉ ุงู„ Quartiles split the rank data into
60
+
61
+ 16
62
+ 00:02:15,240 --> 00:02:20,270
63
+ four equal segmentsุจุชุฌุณู… ู„ู€ data ุงู„ู…ุฑุชุจุฉ ู„ุฃุฑุจุน
64
+
65
+ 17
66
+ 00:02:20,270 --> 00:02:24,730
67
+ ุฃู‚ุณุงู… ุฒูŠ ุจุนุถ with an equal number of values per
68
+
69
+ 18
70
+ 00:02:24,730 --> 00:02:28,190
71
+ segment ุฅุฐุง ุงู„ู€ quartiles ุจุชุฌุณู… ุงู„ data values
72
+
73
+ 19
74
+ 00:02:28,190 --> 00:02:32,310
75
+ into four equal segments ูŠู‚ุณู… ู„ูŠู‡ุง ุงู„ุฃุฑุจุน ุฃุฌุฒุงุก
76
+
77
+ 20
78
+ 00:02:32,310 --> 00:02:37,810
79
+ ู…ุชุณุงูˆูŠุฉ there are three quartiles one is called
80
+
81
+ 21
82
+ 00:02:37,810 --> 00:02:43,870
83
+ the first quartile ุงู„ุฑุจุน ุงู„ุฃูˆู„ and is denoted by
84
+
85
+ 22
86
+ 00:02:43,870 --> 00:02:44,350
87
+ Q1
88
+
89
+ 23
90
+ 00:02:52,190 --> 00:03:04,850
91
+ ูˆุงู„ุฑุงุจุน ุงู„ุฃูˆู„ ู‡ูˆ ู‚ูŠู…ุฉ 25% ู…ู† ุงู„ู…ู„ุงุญุธุงุช ุฃู‚ู„ ู…ู† Q1
92
+
93
+ 24
94
+ 00:03:04,850 --> 00:03:14,330
95
+ ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ 25% ุฃู‚ู„ ู…ู†ู‡ Q1
96
+
97
+ 25
98
+ 00:03:14,330 --> 00:03:21,350
99
+ 25%ุฃูˆ ู…ูˆู‚ุน ุงู„ุจูŠุงู†ุงุช ุงูˆ ู…ูˆู‚ุน ุงู„ุจูŠุงู†ุงุช ุตุบูŠุฑ ู…ู† ุงู„ู€
100
+
101
+ 26
102
+ 00:03:21,350 --> 00:03:30,250
103
+ Q1 ูˆุงู„ู…ู‚ุงูˆู… ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Q1 ูŠุนู†ูŠ ุงู† ู‡ู†ุงูƒ 75% ุฃูƒุชุฑ
104
+
105
+ 27
106
+ 00:03:30,250 --> 00:03:39,670
107
+ ู…ู† ุงู„ู€ Q1 ูุงู„ู€ Q1 ุนู„ู‰ ุฃุดู…ุงู„ู‡ 25 ูˆุนู„ู‰ ุฃู…ูŠู†ู‡ 75 ุงุฎุฑ
108
+
109
+ 28
110
+ 00:03:39,670 --> 00:03:42,710
111
+ ู…ู‚ุงูˆู…ุฉ ุงุณู…ู‡ุง Q2
112
+
113
+ 29
114
+ 00:03:49,140 --> 00:03:53,960
115
+ ุงู„ุงูƒุชูŠุฑ ุงู„ุซุงู†ูŠ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ
116
+
117
+ 30
118
+ 00:03:53,960 --> 00:03:57,600
119
+ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชุฑ
120
+
121
+ 31
122
+ 00:03:57,600 --> 00:04:03,100
123
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
124
+
125
+ 32
126
+ 00:04:03,100 --> 00:04:03,120
127
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
128
+
129
+ 33
130
+ 00:04:03,120 --> 00:04:03,260
131
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
132
+
133
+ 34
134
+ 00:04:03,260 --> 00:04:04,020
135
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
136
+
137
+ 35
138
+ 00:04:16,230 --> 00:04:21,570
139
+ 5% ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ 50% ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ 5% ุฃู‚ู„ ูˆ 50%
140
+
141
+ 36
142
+ 00:04:21,570 --> 00:04:28,570
143
+ ุฃุนู„ู‰ ู„ู€ Q3 ู‚ูู„ุช
144
+
145
+ 37
146
+ 00:04:28,570 --> 00:04:43,370
147
+ ุซุงู„ุซุฉ ุฃูƒุณ ูŠุนู†ูŠ ุฃูƒุชุฑ Q3 ูู‚ุท 25 ู…ู† ุงู„ู…ู„ุงุญุธุงุช ุฃูƒุชุฑ ู…ู†
148
+
149
+ 38
150
+ 00:04:43,370 --> 00:04:53,420
151
+ ุซุงู„ุซุฉ ุฃูƒุชุฑูˆ 25% ุฃูƒุชุฑ ูˆ 75% ุฃูƒุชุฑ ุฅุฐุง ุงู„ู€ three
152
+
153
+ 39
154
+ 00:04:53,420 --> 00:04:58,300
155
+ quartiles Q1 ุงู„ูˆุงูุฑุณูŠ quartile in this case there
156
+
157
+ 40
158
+ 00:04:58,300 --> 00:05:03,740
159
+ are 25% of the observations are smaller 75% are
160
+
161
+ 41
162
+ 00:05:03,740 --> 00:05:10,820
163
+ greater or larger Q2 the value in the middle 50%
164
+
165
+ 42
166
+ 00:05:10,820 --> 00:05:17,310
167
+ below 50% aboveุงู„ู€ Q3 ูู‚ุท 25% ู…ู† ุงู„ุจูŠุงู†ุงุช ุฃูƒุชุฑ ู…ู†
168
+
169
+ 43
170
+ 00:05:17,310 --> 00:05:24,390
171
+ ุงู„ู€ Q3 ูˆ ุจุงู„ุชุฃูƒูŠุฏ 75% ุฃู‚ู„ ู…ู† ุงู„ู€ Q3 ูุงู„ุงู† ู„ุฏูŠู†ุง
172
+
173
+ 44
174
+ 00:05:24,390 --> 00:05:27,350
175
+ ุฃู…ูˆุงุช ุฌุฏูŠุฏุฉ ุญุชู‰ ุงู„ุขู† ู„ุฏูŠู†ุง ุซู„ุงุซุฉ ุฃู…ูˆุงุช ู…ุฎุชู„ูุฉ
176
+
177
+ 45
178
+ 00:05:27,350 --> 00:05:31,650
179
+ ุฃู…ูˆุงุช ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉ ู†ุญู† ู†ุชูƒู„ู… ุนู† ุงู„ู€ mean, median
180
+
181
+ 46
182
+ 00:05:31,650 --> 00:05:36,730
183
+ ูˆ mode ุซู… ู†ุญู† ู†ุชูƒู„ู… ุนู† ุฃู…ูˆุงุช ุซุงู†ูˆูŠุฉ ุฃู…ูˆุงุช ุงู„ุชุบูŠูŠุฑ
184
+
185
+ 47
186
+ 00:05:36,730 --> 00:05:44,860
187
+ ุฃูˆ ุฃู…ูˆุงุช ุงู„ุชุบูŠูŠุฑ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุบูŠูŠุฑุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
188
+
189
+ 48
190
+ 00:05:44,860 --> 00:05:47,320
191
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
192
+
193
+ 49
194
+ 00:05:47,320 --> 00:05:47,380
195
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
196
+
197
+ 50
198
+ 00:05:47,380 --> 00:05:47,480
199
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
200
+
201
+ 51
202
+ 00:05:47,480 --> 00:05:48,740
203
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
204
+
205
+ 52
206
+ 00:05:48,740 --> 00:05:50,120
207
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
208
+
209
+ 53
210
+ 00:05:50,120 --> 00:05:52,380
211
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
212
+
213
+ 54
214
+ 00:05:52,380 --> 00:05:59,400
215
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
216
+
217
+ 55
218
+ 00:05:59,400 --> 00:06:02,960
219
+ ูˆุงู„ุชุญุฏูŠุณ
220
+
221
+ 56
222
+ 00:06:02,960 --> 00:06:10,400
223
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠ
224
+
225
+ 57
226
+ 00:06:13,730 --> 00:06:17,810
227
+ ู…ุนู†ู‰ standard deviation ูƒู…ุง ุฃู† ู‡ุฐุง ูŠุนู†ูŠ standard
228
+
229
+ 58
230
+ 00:06:17,810 --> 00:06:28,870
231
+ deviation ูˆvariance ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุชุชุฃุซุฑ
232
+
233
+ 59
234
+ 00:06:28,870 --> 00:06:36,050
235
+ ู…ู† ุฎุทูˆุงุช ุฃูˆ ู‚ูŠู…ุฉ ุฃูƒุชุฑูŠู† ุจูŠู†ู…ุง ุฃูŠุถู‹ุง ุฃูŠุถู‹ุง ุงู„ู€
236
+
237
+ 60
238
+ 00:06:36,050 --> 00:06:41,800
239
+ rangeู‡ูŠ ุฃูŠุถู‹ุง ูƒู…ูŠุงุฑุฉ ุงู„ุชุบูŠูŠุฑ ู…ุคุซุฑุฉ ุนู„ู‰ ู‚ูŠู… ุฃูƒุชุฑูŠู†
240
+
241
+ 61
242
+ 00:06:41,800 --> 00:06:47,640
243
+ ูˆู„ูƒู† ุงู„ู€ Median ู„ูŠุณ
244
+
245
+ 62
246
+ 00:06:47,640 --> 00:06:52,340
247
+ ุฃูƒุชุฑ ุดุฎุตูŠุฉ ู„ู€ Outliers.
248
+
249
+ 63
250
+ 00:06:56,440 --> 00:07:00,000
251
+ ุงู„ุขู†ุŒ ู…ุงุฐุง ุนู† ุงู„ู…ูŠุฌุงุฑุงุช ุงู„ุฌุฏูŠุฏุฉุŸ ุฃุนู†ูŠุŒ ู…ุงุฐุง ุนู† ุงู„ู€
252
+
253
+ 64
254
+ 00:07:00,000 --> 00:07:07,540
255
+ QuartilesุŸ ู‡ู„ ุงู„ู€ Q1 ู…ุคุซุฑ ุฅู„ู‰ OutliersุŸูˆุดูˆู ุฃูŠุถู‹ุง
256
+
257
+ 65
258
+ 00:07:07,540 --> 00:07:10,340
259
+ ู†ูุณ ุงู„ุดูŠุก ุจุงู„ู†ุณุจุฉ ู„ู€ Q3 ุจุงู„ุชุฃูƒูŠุฏ Q2 ู„ูŠุณ ู…ู‡ุชู…ู‹ุง
260
+
261
+ 66
262
+ 00:07:10,340 --> 00:07:16,000
263
+ ู„ุฐู„ูƒ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ุตูุญุฉ ุงู„ุชุงู„ูŠุฉ ูˆู†ุฑู‰ ุฃูˆู„ู‹ุง
264
+
265
+ 67
266
+ 00:07:16,000 --> 00:07:23,140
267
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ู…ุฌู…ูˆุนุงุช ูˆุฅุฌุฑุงุก ู…ุฌู…ูˆุนุงุช ุชุฐูƒุฑ ุฃู†ู†ุง
268
+
269
+ 68
270
+ 00:07:23,140 --> 00:07:28,580
271
+ ุนู†ุฏู…ุง ุงุฌุฑุฃู†ุง ุงู„ู…ุฌู…ูˆุนุงุช ุฃูˆู„ู‹ุง ู†ุฌุฏ ุงู„ู…ุฌู…ูˆุนุงุช ู„ุฐู„ูƒ
272
+
273
+ 69
274
+ 00:07:28,580 --> 00:07:34,580
275
+ ุฑุฃูŠู†ุง ุขุฎุฑ ู…ุฑุฉ ู…ูƒุงู† ุงู„ู…ุฌู…ูˆุนุงุช ุซู… ู†ุชูƒู„ู… ุนู† ุงู„ู…ุฌู…ูˆุนุงุช
276
+
277
+ 70
278
+ 00:07:35,560 --> 00:07:38,060
279
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ูˆุตูŠ ุงู„ู…ุฌู…ูˆุนุงุช
280
+
281
+ 71
282
+ 00:07:38,060 --> 00:07:43,820
283
+ ุซู… ู†ุณุชุฎุฏู… ุงู„ูƒู…ุจูŠูˆุช ู„ู„ู…ุฌู…ูˆุนุงุช ุฏุนูˆู†ุง ู†ุจุฏุฃ ุจุงู„ุฃูˆู„ ูƒูŠู
284
+
285
+ 72
286
+ 00:07:43,820 --> 00:07:48,880
287
+ ูŠู…ูƒู†ู†ุง ุฃู† ู†ูˆุตูŠ ุงู„ู…ุฌู…ูˆุนุงุช ุจุงู„ู…ุฌู…ูˆุนุงุช
288
+
289
+ 73
290
+ 00:07:48,880 --> 00:07:57,140
291
+ ุงู„ุฃูˆู„ู‰ ู…ูƒุงู† ุงู„ู…ุฌู…ูˆุนุงุช ู† ุจู„ุณ ูˆุงู† ุงูƒุชุฑ ู…ู† ุฃุฑุจุน ุงุฐุง
292
+
293
+ 74
294
+ 00:07:57,140 --> 00:08:01,400
295
+ ุชุฐูƒุฑ ุงู† ุงู„ู…ุฌู…ูˆุนุงุช ูƒุงู†ุช ู† ุจู„ุณ ูˆุงู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
296
+
297
+ 75
298
+ 00:08:01,400 --> 00:08:08,540
299
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑุงู„ูˆุถุน ู„ู€ Q1 ู‡ูˆ N Plus One Over
300
+
301
+ 76
302
+ 00:08:08,540 --> 00:08:14,740
303
+ Four ู†ู‚ู„ N Plus One By Four ู„ุฃู† ู„ุฏูŠู†ุง ูƒูˆุงุฑุชุงูŠู„ุŒ
304
+
305
+ 77
306
+ 00:08:14,740 --> 00:08:20,340
307
+ ู„ุฏูŠู†ุง ุฃุฑุจุน ุฃู‚ู„ ู‚ุทุนุŒ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ู‚ู„ N Plus One By
308
+
309
+ 78
310
+ 00:08:20,340 --> 00:08:25,420
311
+ Four ู„ุฐู„ูƒ ุงู„ูˆุถุน ู„ู€ Q1 ู‡ูˆ N Plus One Over Four ู„ุฐู„ูƒ
312
+
313
+ 79
314
+ 00:08:25,420 --> 00:08:28,520
315
+ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ู…ุฑุชุจุฉ ู…ู† ุงู„ุตุบูŠุฑ ุฅู„ู‰
316
+
317
+ 80
318
+ 00:08:28,520 --> 00:08:32,990
319
+ ุงู„ูƒุจูŠุฑู„ู„ู€ Median ุฃูˆ ุงู„ู‚ุทุน ุงู„ุซุงู†ูŠุฉ ุงู„ู‚ุทุน ุงู„ุซุงู†ูŠุฉ
320
+
321
+ 81
322
+ 00:08:32,990 --> 00:08:37,590
323
+ ุงู„ู‚ุทุน ู‡ูŠ ู†ูุณู‡ุง ูƒุงู„ู‚ุทุน ุงู„ู…ุตุทู„ุญ ู‡ูˆ N ุจู„ุณ ูˆุงุญุฏ ุนูƒุณ 2
324
+
325
+ 82
326
+ 00:08:37,590 --> 00:08:45,270
327
+ ูƒู…ุง ูุนู„ู†ุงู‡ ุงู„ุณุงุจู‚ู‹ุง ู„ู€ Q3 ุงู„ู…ูˆู‚ุน ู‡ูˆ ุงู„ุขู† Q3 ู‡ูˆ
328
+
329
+ 83
330
+ 00:08:45,270 --> 00:08:49,850
331
+ ุงู„ุซุงู„ุซ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ูƒู…ู„ ู‡ุฐุง ุจุงู„ุซู„ุงุซ ู„ุฐู„ูƒ ุซู„ุงุซ ู…ุฑุงุช
332
+
333
+ 84
334
+ 00:08:49,850 --> 00:08:55,870
335
+ N ุจู„ุณ ูˆุงุญุฏ ุนูƒุณ 4 ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ูˆู‚ุน ู„ู„ู‚ุทุน ุงู„ุซุงู„ุซ ุงู„ุขู†
336
+
337
+ 85
338
+ 00:08:55,870 --> 00:09:03,360
339
+ ุฅุฐุง ูˆุฌู‡ุชุจุนุฏ ุฐู„ูƒ ุจุณู‡ูˆู„ุฉ ู†ุณุชุฎุฏู… ุงู„ู‚ูŠุงู…ุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ
340
+
341
+ 86
342
+ 00:09:03,360 --> 00:09:06,680
343
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
344
+
345
+ 87
346
+ 00:09:06,680 --> 00:09:07,040
347
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
348
+
349
+ 88
350
+ 00:09:07,040 --> 00:09:07,720
351
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
352
+
353
+ 89
354
+ 00:09:07,720 --> 00:09:08,200
355
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
356
+
357
+ 90
358
+ 00:09:08,200 --> 00:09:08,860
359
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
360
+
361
+ 91
362
+ 00:09:08,860 --> 00:09:11,260
363
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
364
+
365
+ 92
366
+ 00:09:11,260 --> 00:09:12,660
367
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
368
+
369
+ 93
370
+ 00:09:12,660 --> 00:09:23,140
371
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ๏ฟฝ๏ฟฝู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
372
+
373
+ 94
374
+ 00:09:23,140 --> 00:09:24,400
375
+ ุงู„ู…ู†ุงุณุจุฉ ู„
376
+
377
+ 95
378
+ 00:09:27,250 --> 00:09:33,390
379
+ for these positions ุจุชุฌุณู… ุนุฏุฏ ุนู„ู‰ ุนุฏุฏ ูŠุงู…ุง ุจุทู„ุน
380
+
381
+ 96
382
+ 00:09:33,390 --> 00:09:40,410
383
+ ู…ุนุงูƒ ุนุฏุฏ ุตุญูŠุญ ูŠุงู…ุง ุจุทู„ุน ุญุฌุฉ ูˆ ู†ุต ูŠุงู…ุง ุจุทู„ุน ูƒุซูŠุฑ
384
+
385
+ 97
386
+ 00:09:40,410 --> 00:09:45,750
387
+ ูุงุญู†ุง ุนู†ุฏู†ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู…ุธุจูˆุท ู„ู…ุง ุงุฌุณู… ู…ุซู„ุง
388
+
389
+ 98
390
+ 00:09:45,750 --> 00:09:52,250
391
+ suppose n is nine ู„ูˆ ุจุฏู‰ ุงุญูƒูŠ n plus one over four
392
+
393
+ 99
394
+ 00:09:52,250 --> 00:09:59,150
395
+ ูŠุทู„ุน two point fiveู‡ุฐุง ู†ุณู…ูŠู‡ fraction of half ูƒุณุฑ
396
+
397
+ 100
398
+ 00:09:59,150 --> 00:10:08,370
399
+ ู†ุต ู…ู…ูƒู† ู„ูˆ ูƒุงู†ุช n equal 10 10
400
+
401
+ 101
402
+ 00:10:08,370 --> 00:10:16,690
403
+ plus 1 for example over 4 11 over 4 ูƒุฏู‡ุŸ ู‡ุฐูˆู„
404
+
405
+ 102
406
+ 00:10:16,690 --> 00:10:25,160
407
+ 11 ุนู„ู‰ 4 ุฏูŠ ู‡ู… 75 ูˆ ุฃูƒุชุฑ ู…ุนูŠ fraction ู…ุด ู†ุตู…ู…ูƒู†
408
+
409
+ 103
410
+ 00:10:25,160 --> 00:10:32,520
411
+ ูŠุทู„ุน ุฃุญูŠุงู†ุง 2.75 ู…ู…ูƒู† ูŠุทู„ุน 2.5 ู…ู…ูƒู† ุฃุญูŠุงู†ุง ูŠุทู„ุน 2
412
+
413
+ 104
414
+ 00:10:32,520 --> 00:10:38,500
415
+ ู…ู…ูƒู† ูŠุทู„ุน
416
+
417
+ 105
418
+ 00:10:38,500 --> 00:10:47,860
419
+ 2.7 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู†
420
+
421
+ 106
422
+ 00:10:47,860 --> 00:10:49,480
423
+ ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2
424
+
425
+ 107
426
+ 00:10:49,480 --> 00:10:51,640
427
+ ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู†
428
+
429
+ 108
430
+ 00:10:51,640 --> 00:10:54,640
431
+ ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2if the result
432
+
433
+ 109
434
+ 00:10:54,640 --> 00:11:03,140
435
+ is a whole number ูŠุนู†ูŠ ุนุฏุฏ ุตุญูŠุญ if the result is a
436
+
437
+ 110
438
+ 00:11:03,140 --> 00:11:05,820
439
+ whole number then it is the rank position to use
440
+
441
+ 111
442
+ 00:11:05,820 --> 00:11:09,940
443
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ู„ูˆ ุทู„ุน ู…ุนูŠ ุฒูŠ ูƒุฏู‡ ุงุชู†ูŠู† ุจุณุชุฎุฏู… ุงู„ู…ูƒุงู†
444
+
445
+ 112
446
+ 00:11:09,940 --> 00:11:14,220
447
+ ุงู„ุชุงู†ูŠ ุนู„ู‰ ููˆุฑูŠ ุจุฃุฎุฏู‡ ุงู„ู…ูˆู‚ุน ุงู„ุชุงู†ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„
448
+
449
+ 113
450
+ 00:11:14,220 --> 00:11:17,480
451
+ quarterly ุฒูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ if the result is a
452
+
453
+ 114
454
+ 00:11:17,480 --> 00:11:23,360
455
+ fractional halfุฒูŠ 2.5, 7.5 and so on then average
456
+
457
+ 115
458
+ 00:11:23,360 --> 00:11:27,400
459
+ the two corresponding data values ู…ุงุนู†ุฏูŠุด ุงุชู†ูŠู† ูˆ
460
+
461
+ 116
462
+ 00:11:27,400 --> 00:11:31,520
463
+ ู†ุต ุจุงุฎุฏ ุงูŠุดุŸ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุชู„ุงุชุฉ ูˆ ุจุงุฎุฏ ุงู„ู‚ูŠู… ุชุจุนุชู‡ุง
464
+
465
+ 117
466
+ 00:11:31,520 --> 00:11:37,100
467
+ ูˆ ุจุชุงุฎุฏ ุงู„ average ุชุจุนุชู‡ุง ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ุงู†ุฏุฑ 14 ูˆ 15
468
+
469
+ 118
470
+ 00:11:37,100 --> 00:11:44,500
471
+ ูˆ 16 ุทู„ุน ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ู‡ุชุงุฎุฏ ู…ูŠู†ุŸ ุงู„ 15 ูˆ ุงู„ 16
472
+
473
+ 119
474
+ 00:11:44,500 --> 00:11:49,360
475
+ ูˆ ุงู„ average ุชุจุนู‡ุงุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู†ุชูŠุฌุฉ ู†ู…ุจุฑ ูƒุงู… ุฃูˆ
476
+
477
+ 120
478
+ 00:11:49,360 --> 00:11:50,160
479
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
480
+
481
+ 121
482
+ 00:11:50,160 --> 00:11:55,720
483
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
484
+
485
+ 122
486
+ 00:11:55,720 --> 00:11:59,300
487
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
488
+
489
+ 123
490
+ 00:11:59,300 --> 00:12:03,200
491
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
492
+
493
+ 124
494
+ 00:12:03,200 --> 00:12:05,420
495
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
496
+
497
+ 125
498
+ 00:12:05,420 --> 00:12:14,360
499
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…
500
+
501
+ 126
502
+ 00:12:15,970 --> 00:12:20,070
503
+ ุฎู„ู‘ู‰ ุจุงูƒ ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ุงู„ positions ุงู„ู…ูƒุงู† ุงู„ู…ูˆุถูˆุน
504
+
505
+ 127
506
+ 00:12:20,070 --> 00:12:26,470
507
+ ู…ุด ุงู„ location ู…ุด ุงู„ values ุฅุฐุง ู‡ุฏูˆู„ ู‡ุงูŠ ุงู„
508
+
509
+ 128
510
+ 00:12:26,470 --> 00:12:30,090
511
+ positions ุงู„ positions could be either whole
512
+
513
+ 129
514
+ 00:12:30,090 --> 00:12:33,150
515
+ number if it is whole number just use it as it is
516
+
517
+ 130
518
+ 00:12:33,150 --> 00:12:37,610
519
+ if it is fractional half ุฎุฏ ุงู„ average for the two
520
+
521
+ 131
522
+ 00:12:37,610 --> 00:12:42,990
523
+ middle pointsุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู†ุชุงุฆุฌ ุฑู‚ู… ูƒุงู… ุฃูˆ ู†ุตู ู†ุตู
524
+
525
+ 132
526
+ 00:12:42,990 --> 00:12:47,370
527
+ ูู‚ุท ุญูˆู„ ุงู„ู†ุชุงุฆุฌ ุฅู„ู‰ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุฃู‚ุฑุจ ู„ูƒูŠ ุชุฌุฏ ู…ูˆู‚ุน
528
+
529
+ 133
530
+ 00:12:47,370 --> 00:12:50,510
531
+ ุงู„ุฑู‚ู… ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
532
+
533
+ 134
534
+ 00:13:01,450 --> 00:13:05,530
535
+ ู„ูˆ ู‡ูˆ ุงู„ุชุงู„ุช ุนู†ุฏูƒ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงู„ุงูˆู„ ุดูˆู ูƒูŠู
536
+
537
+ 135
538
+ 00:13:05,530 --> 00:13:09,930
539
+ ุชุนู…ู„ ุงูŠู‡ ู‡ูˆู† ุงู„ุงูˆู„ n plus one over four ู…ุธุจูˆุท ู‡ุฐุง
540
+
541
+ 136
542
+ 00:13:09,930 --> 00:13:15,990
543
+ ู…ูŠู† ุงูŠ one ูˆ Q2 ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู…ูุฑูˆุถ ุงู„ู„ูŠ ุจุนุฏู‡
544
+
545
+ 137
546
+ 00:13:15,990 --> 00:13:20,990
547
+ ู…ูุฑูˆุถ n plus one over four plus n plus one over
548
+
549
+ 138
550
+ 00:13:20,990 --> 00:13:27,350
551
+ four ุจุทู„ุน ุนูŠุด ุงู†ู‡ ุฑุจุน ุฑุจุน ู†ุต ูุจุทู„ุน ู‡ุฐุง n plus one
552
+
553
+ 139
554
+ 00:13:27,350 --> 00:13:36,510
555
+ over twoุงู„ู„ูŠ ุจุนุฏู‡ n plus one over four four equal
556
+
557
+ 140
558
+ 00:13:36,510 --> 00:13:40,330
559
+ segments ู‡๏ฟฝ๏ฟฝูˆู„ ุฌู…ุนุชูŠู‡ู… ูƒุฃู†ูƒ ุถุฑุจุชูŠ ููŠ ุชู„ุงุชุฉ
560
+
561
+ 141
562
+ 00:14:00,810 --> 00:14:05,090
563
+ keep in mind to find the median and these measures
564
+
565
+ 142
566
+ 00:14:05,090 --> 00:14:10,030
567
+ of quartiles you have to have ordered array ู„ุงุฒู…
568
+
569
+ 143
570
+ 00:14:10,030 --> 00:14:14,290
571
+ ูŠูƒูˆู† ุนู†ุฏูƒ ู‚ูŠู… ู…ุฑุชุจุฉ ูŠุนู†ูŠ ู…ุงูŠู†ูุนุด ุงุดุชุบู„ ู‚ูŠู… ู…ุด
572
+
573
+ 144
574
+ 00:14:14,290 --> 00:14:18,290
575
+ ู…ุฑุชุจุฉ ูˆ ุงุทู„ุน ูˆ ุงุดุชุบู„ ุงู„ุดุบู„ ู…ุด ุตุญ ู„ุงุฒู… ูู„ุงู‡ ูˆู„ุง
576
+
577
+ 145
578
+ 00:14:18,290 --> 00:14:23,890
579
+ ุงุฑุชุจู‡ู… ุงุญูŠุงู†ุง ุงู„ example ุงู„ู„ูŠ ุนู†ุฏู‰ sample data in
580
+
581
+ 146
582
+ 00:14:23,890 --> 00:14:27,210
583
+ ordered array ู…ุฑุชุจูƒ ุงูŠุงู‡ู… ูŠุนู†ูŠ ู„ูˆ ู…ุด ู…ุฑุชุจุงุช ููŠ
584
+
585
+ 147
586
+ 00:14:27,210 --> 00:14:33,520
587
+ ุงู„ุฃุตู„ ู„ุงุฒู… ุงุฑุชุจู‡ู…ูˆุงุถุญุŸ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุดูŠุฑู‡ุง ุตุญ ุจุณ
588
+
589
+ 148
590
+ 00:14:33,520 --> 00:14:38,520
591
+ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ู…ุด ุตุญ ูุงู„ุดุบู„ ูƒู„ู‡ ู…ุด ุตุญ ุฎู„ุงุต suppose
592
+
593
+ 149
594
+ 00:14:38,520 --> 00:14:47,500
595
+ we have this ordered really eleven twelve thirteen
596
+
597
+ 150
598
+ 00:14:47,500 --> 00:14:52,640
599
+ sixteen seventeen eighteen
600
+
601
+ 151
602
+ 00:14:57,730 --> 00:15:02,870
603
+ ุงู„ุขู† ู„ุฏุฑุงุณุฉ ุตุบูŠุฑุฉ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ู† ูŠู‚ู„ 9 ุงู„ุงู† ุฃูˆู„
604
+
605
+ 152
606
+ 00:15:02,870 --> 00:15:08,910
607
+ ู‚ุทุน ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู…ูˆู‚ุน ุงู„ู…ูˆู‚ุน ุงู„ุฃูˆู„ ู…ูˆู‚ุน ุงู„ู…ูˆู‚ุน
608
+
609
+ 153
610
+ 00:15:08,910 --> 00:15:16,910
611
+ ุงู„ุฃูˆู„ ู† ุจู„ุณ ูˆุงู† ุฃูˆุฑ ููˆุฑ ู† ุจู„ุณ ูˆุงู† ุฃูˆุฑ ููˆุฑ ุชุณุนุฉ ู†ูŠู†
612
+
613
+ 154
614
+ 00:15:16,910 --> 00:15:21,470
615
+ ุจู„ุณ ูˆุงู† ุฃูˆุฑ ููˆุฑ ุงุชู†ูŠู† ูˆ ู†ุตู ุงุชู†ูŠู† ูˆ ู†ุตู ูŠุนู†ูŠ ู‡ู†ุง
616
+
617
+ 155
618
+ 00:15:21,470 --> 00:15:22,950
619
+ ู…ุธู‡ุฑุŸ
620
+
621
+ 156
622
+ 00:15:24,650 --> 00:15:28,790
623
+ ุฃู†ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆ ู†ุต ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ู‡ุงุฎุฏ
624
+
625
+ 157
626
+ 00:15:28,790 --> 00:15:35,170
627
+ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุชู„ุงุชุฉ ุนุดุฑ ุงุฐุง ู…ุน ูƒุฏู‡ Q1 ุงุฐุง ู‡ุฐุง ุนุจุงุฑุฉ
628
+
629
+ 158
630
+ 00:15:35,170 --> 00:15:42,010
631
+ ุนู† ุงูŠุด ุงู„ location ุงู„ position or location ูˆุงุถุญ
632
+
633
+ 159
634
+ 00:15:42,010 --> 00:15:45,830
635
+ ุงู„ุงุชู†ูŠู† ูˆ ู†ุต ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ ุจุนู…ู„ู‡ ุจุงุฎุฏ
636
+
637
+ 160
638
+ 00:15:45,830 --> 00:15:55,570
639
+ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุชู„ุงุชุฉ ุนุดุฑ ู‡ุงุชู†ูŠู†ุฅุฐุง ุงู„ Q1 ุนุจุงุฑุฉ ุนู† 12
640
+
641
+ 161
642
+ 00:15:55,570 --> 00:15:59,170
643
+ ูˆ ู†ุตู
644
+
645
+ 162
646
+ 00:15:59,170 --> 00:16:03,610
647
+ ุงู„ู„ูŠ
648
+
649
+ 163
650
+ 00:16:03,610 --> 00:16:13,290
651
+ ุจูŠุทู„ุน ุงูƒูŠุฏ ู‡ูˆ N plus one over ูˆ
652
+
653
+ 164
654
+ 00:16:13,290 --> 00:16:19,490
655
+ ู‡ู†ุง ููŠ ู‡ุฐู‡ ู…ุง ุฃู†ุง ุญูƒูŠุช ุฃู†ุง ุบู†ูŠุชู‡ุง ู…ู† ุงู„ุฃูˆู„ู„ูˆ ูƒุงู†ุช
656
+
657
+ 165
658
+ 00:16:19,490 --> 00:16:23,310
659
+ 2.5 ุจุงุฎุฏ ุงู„ู€ average of the two corresponding data
660
+
661
+ 166
662
+ 00:16:23,310 --> 00:16:29,750
663
+ values ูŠุนู†ูŠ ุฏุงุฆู…ุง ุจุงุฎุฏู‡ุง ุฒูŠ ู‡ุฐู‡ ุงู„ู€ Q2 N plus one
664
+
665
+ 167
666
+ 00:16:29,750 --> 00:16:36,070
667
+ over four over two ุงู„ู„ูŠ ู‡ูŠ ten over two is five
668
+
669
+ 168
670
+ 00:16:36,070 --> 00:16:39,790
671
+ now five is a whole number ุงู„ู‚ูŠู…ุฉ ุงู„ุฎู…ุณุฉ ุจุงุฎุฏู‡ุง ุฒูŠ
672
+
673
+ 169
674
+ 00:16:39,790 --> 00:16:43,730
675
+ ู…ุง ู‡ูŠ ุฏู‡ ูู‡ุฐู‡ Q2
676
+
677
+ 170
678
+ 00:16:48,350 --> 00:17:00,070
679
+ ุฃูˆ for Q3 3 plus N plus 1 over 4 ุจุทู„ุน 7.5 one
680
+
681
+ 171
682
+ 00:17:00,070 --> 00:17:05,990
683
+ two three four five six seven point five ุจุงุฎุฏ 18
684
+
685
+ 172
686
+ 00:17:05,990 --> 00:17:12,790
687
+ ูˆุงู„ูˆุงุญุฏ ูˆุนุดุฑูŠู† ุงุชู†ูŠู†
688
+
689
+ 173
690
+ 00:17:12,790 --> 00:17:17,010
691
+ ุจุทู„ุน
692
+
693
+ 174
694
+ 00:17:17,010 --> 00:17:17,950
695
+ 19.5
696
+
697
+ 175
698
+ 00:17:21,570 --> 00:17:27,390
699
+ ูƒู…ุง ู†ุนู„ู… ุฃู† ุงู„ู€ Q2 ู‡ูˆ ู…ูŠุฒุฉ ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉ ุงู„ู€ Q1 ูˆ
700
+
701
+ 176
702
+ 00:17:27,390 --> 00:17:31,630
703
+ Q3 ู‡ูŠ ู…ูŠุฒุฉ ู…ุฑูƒุฒูŠุฉ ู…ุฑูƒุฒูŠุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ
704
+
705
+ 177
706
+ 00:17:31,630 --> 00:17:36,010
707
+ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ
708
+
709
+ 178
710
+ 00:17:36,010 --> 00:17:39,710
711
+ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ
712
+
713
+ 179
714
+ 00:17:39,710 --> 00:17:41,310
715
+ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ
716
+
717
+ 180
718
+ 00:17:41,310 --> 00:17:42,530
719
+ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ
720
+
721
+ 181
722
+ 00:17:42,530 --> 00:17:44,650
723
+ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ
724
+
725
+ 182
726
+ 00:17:44,650 --> 00:17:46,650
727
+ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ
728
+
729
+ 183
730
+ 00:17:46,650 --> 00:17:53,690
731
+ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉุงู„ุงู† ุงู„ุณุคุงู„ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู…
732
+
733
+ 184
734
+ 00:17:53,690 --> 00:18:00,910
735
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุงุช ู„ูƒูŠ ู†ู‚ุฑุฑ ู…ุณุชูˆู‰ ู…ุณุชูˆู‰ ุงู„ุจูŠุงู†ุงุช ูƒูŠู
736
+
737
+ 185
738
+ 00:18:00,910 --> 00:18:05,430
739
+ ุฃุณุชุฎุฏู…ู‡ู… ุนุดุงู† ุฃุญุณุจ ุงู„ุชุดุชุฉ ุชุฐูƒุฑ ุนู†ุฏู…ุง ุญูƒูŠู†ุง ุนู† ุงู„
740
+
741
+ 186
742
+ 00:18:05,430 --> 00:18:12,330
743
+ rangeุŸ ุงู„ range ูƒุงู† ุนุจุงุฑุฉ ุนู† ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู…ู† ุฃูƒุชุฑ
744
+
745
+ 187
746
+ 00:18:12,330 --> 00:18:12,970
747
+ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ
748
+
749
+ 188
750
+ 00:18:12,970 --> 00:18:18,750
751
+ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„
752
+
753
+ 189
754
+ 00:18:18,750 --> 00:18:19,390
755
+ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ
756
+
757
+ 190
758
+ 00:18:19,390 --> 00:18:20,390
759
+ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ
760
+
761
+ 191
762
+ 00:18:20,390 --> 00:18:24,540
763
+ ูˆู‚ุจู„ุงู„ุงู† ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰
764
+
765
+ 192
766
+ 00:18:24,540 --> 00:18:31,240
767
+ ู„ุง ุชุชุฃุซุฑ ู…ู† ู‚ูŠู… ุฃูƒุชุฑูŠู† ูƒูŠู ู…ู…ูƒู† ู†ุฏูˆุฑ ุนู„ู‰ ู…ู‚ูŠุงุณุŒ
768
+
769
+ 193
770
+ 00:18:31,240 --> 00:18:34,180
771
+ ู„ุฃู† ุงู„ู€ variability ู…ุง ูŠุชุฃุซุฑุด ุจู‚ูŠู… ุงู„ุดู‡ุฑุŒ ุงุญู†ุง
772
+
773
+ 194
774
+ 00:18:34,180 --> 00:18:41,780
775
+ ุญูƒูŠู†ุง ุงู„ mean ุจุชุฃุซุฑ ู…ุธุจูˆุทุŒ ุงู„ median ู…ุงุจุชุฃุซุฑุดุŒ ุทุจ
776
+
777
+ 195
778
+ 00:18:41,780 --> 00:18:46,160
779
+ ุงู„ range ุจุชุฃุซุฑุŒ ู…ูŠู† ู…ู‚ุงุจู„ู„ู‡ุŒ ู‡ุฐุง ู‡ู†ุดุฑุญู„ู‡ ุงู„ุขู†ุŒ
780
+
781
+ 196
782
+ 00:18:46,160 --> 00:18:52,470
783
+ ูŠุนู†ูŠ ุนู†ุฏ ุดูˆู rangeุŒ ู…ุงุจุชุฃุซุฑุด ุจุงู„ extreme valuesู‡ุฐู‡
784
+
785
+ 197
786
+ 00:18:52,470 --> 00:18:56,730
787
+ ุงู„ูุฑู‚ู‡ ุชุณู…ู‰ ุงู„ู€ Inter Quartile Range Inter
788
+
789
+ 198
790
+ 00:18:56,730 --> 00:19:06,290
791
+ Quartile Range ู‡ู†ุดูˆู ุฏููŠู†ูŠุดู† ุชุจุนู‡ Inter
792
+
793
+ 199
794
+ 00:19:06,290 --> 00:19:11,770
795
+ Quartile
796
+
797
+ 200
798
+ 00:19:11,770 --> 00:19:14,910
799
+ Range IQR
800
+
801
+ 201
802
+ 00:19:18,700 --> 00:19:20,980
803
+ ุงู„ู€ range was maximum minus minimum or largest
804
+
805
+ 202
806
+ 00:19:20,980 --> 00:19:27,720
807
+ minus smallest ุงู„ IQR I I I ู‡ู†ุง while Q while R
808
+
809
+ 203
810
+ 00:19:27,720 --> 00:19:37,860
811
+ IQR equals Q3 minus Q1 so IQR is the difference
812
+
813
+ 204
814
+ 00:19:37,860 --> 00:19:41,860
815
+ between the first quartile and the third quartile
816
+
817
+ 205
818
+ 00:19:41,860 --> 00:19:47,720
819
+ ู…ู† ุงู„ุณูู„ ุจูŠู†ู‡ู… ู…ู† Q3 ูˆ Q1 it's called IQR this
820
+
821
+ 206
822
+ 00:19:47,720 --> 00:19:54,890
823
+ measureู‡ุฐุง ูŠู‚ูˆู… ุจุชุญุฑูŠูƒ 50% ู…ู† ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุชูˆุณุทุฉ
824
+
825
+ 207
826
+ 00:19:54,890 --> 00:19:59,670
827
+ ูŠุนู†ูŠ ู‡ู†ุงูƒ ุงุณุชุดุงุฑุฉ ู„ูŠุณุช ูƒู„ ุงู„ู‚ูŠุงู… ุจุณ ุงู„ููŠ ุงู„ู†ุตู
828
+
829
+ 208
830
+ 00:19:59,670 --> 00:20:07,670
831
+ ู„ุญุธุฉ I smallest U1
832
+
833
+ 209
834
+ 00:20:07,670 --> 00:20:16,010
835
+ median U3 largest ุงู„ IQ ุฃุฎุฑู‰ ุฃุฎุฐูˆุง ูŠุนู†ูŠ ุงู„
836
+
837
+ 210
838
+ 00:20:16,010 --> 00:20:22,220
839
+ distance ุจุณ ู‡ุฐุงู…ุน ูƒุฏู‡ ู‡ูˆ ุงุชุนุงู…ู„ ู…ุน ุงูŠุงุด ู…ุน fifty
840
+
841
+ 211
842
+ 00:20:22,220 --> 00:20:28,380
843
+ percent of the data ู…ุด ู‡ูŠูƒุŸ
844
+
845
+ 212
846
+ 00:20:28,380 --> 00:20:33,220
847
+ this means IQR ignores the smallest and the
848
+
849
+ 213
850
+ 00:20:33,220 --> 00:20:36,560
851
+ largest values it means this measure is not
852
+
853
+ 214
854
+ 00:20:36,560 --> 00:20:41,080
855
+ influenced by extreme valuesู…ุธุจูˆุท ู‡ูˆ ุงุชุฌุงู‡ ุงู„ู‚ูŠู…
856
+
857
+ 215
858
+ 00:20:41,080 --> 00:20:44,740
859
+ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุตุบูŠุฑุฉ ุฌุฏุง ูˆ ุงู„ูƒุจูŠุฑุฉ ุฌุฏุง ุจุนุฏ ูƒุฏู‡
860
+
861
+ 216
862
+ 00:20:44,740 --> 00:20:50,100
863
+ ุงู„ IQR just focus on the middle 50% it means it's
864
+
865
+ 217
866
+ 00:20:50,100 --> 00:20:52,640
867
+ not influenced by extreme values ุฅุฐุง ุงู„ IQR
868
+
869
+ 218
870
+ 00:20:52,640 --> 00:20:57,100
871
+ ุจูŠุชุฃุซุฑุด ุจุงู„ู‚ูŠู… ุงู„ุดุงุฏุฉ ู…ุนู†ุงู‡ ูƒุฏู‡ if the data has an
872
+
873
+ 219
874
+ 00:20:57,100 --> 00:21:01,100
875
+ output layer then we can use IQR as a measure of
876
+
877
+ 220
878
+ 00:21:01,100 --> 00:21:04,680
879
+ spread instead of using the range ุฅุฐุง ุจุณุชุฎุฏู… IQR
880
+
881
+ 221
882
+ 00:21:04,680 --> 00:21:10,390
883
+ ุจุฏู„ ู…ู† ุงู„ู…ุฏุฑุงู„ู€ IQR ู‡ูŠ ุนู…ูŠู„ุฉ ุชุบูŠูŠุฑ ุงู„ูˆุถุน ู…ุซู„ ุงู„ู€
884
+
885
+ 222
886
+ 00:21:10,390 --> 00:21:17,270
887
+ Range ุงู„ุชูŠ ู„ูŠุณุช ุชุฃุซูŠุฑุง ุนู„ู‰ ุฃุนู„ู‰ ุฃูˆ ุฃุนู„ู‰ ู‚ูŠู… ุฃุฎุฑู‰
888
+
889
+ 223
890
+ 00:21:17,270 --> 00:21:21,070
891
+ ุงู„ู€ IQR
892
+
893
+ 224
894
+ 00:21:21,070 --> 00:21:24,550
895
+ ุนุจุงุฑุฉ
896
+
897
+ 225
898
+ 00:21:24,550 --> 00:21:25,950
899
+ ุนู† Q3-Q1
900
+
901
+ 226
902
+ 00:21:30,620 --> 00:21:34,800
903
+ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ุฃูŠุถู‹ุง ู„ุง ูŠุชุฃุซุฑูˆู† ู…ู†
904
+
905
+ 227
906
+ 00:21:34,800 --> 00:21:39,780
907
+ ู‡ุฐู‡ ุงู„ู‚ูŠู…. ูุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ูˆ ุฅุฐุง ู‡ูˆ ู…ุชุฃุซุฑุดุŒ
908
+
909
+ 228
910
+ 00:21:39,780 --> 00:21:44,000
911
+ ู…ุน ูƒุฏู‡ ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ู†ูุณู‡ุง ู…ุงุชุชุฃุซุฑุด. ุฅุฐุง ุงู„ู‚ูŠุงู…ุฉ
912
+
913
+ 229
914
+ 00:21:44,000 --> 00:21:51,160
915
+ ู…ุซู„ ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ูˆ IQR ู„ู… ูŠุชุฃุซุฑูˆุง ู…ู† ู‚ูŠู… ุฃุนุธู…ุŒ
916
+
917
+ 230
918
+ 00:21:51,160 --> 00:21:56,040
919
+ ูู‡ุฐู‡ ุงู„ู‚ูŠุงู…ุฉ ุชุณู…ู‰ ู‚ูŠุงู…ุฉ ู…ู‚ุงูˆู…ุฉ.ุฅุฐุง ุงู„ู€ measures
920
+
921
+ 231
922
+ 00:21:56,040 --> 00:21:59,660
923
+ which are not influenced by outliers we call it
924
+
925
+ 232
926
+ 00:21:59,660 --> 00:22:05,300
927
+ resistant measures ู…ู‚ูŠูŠุณุŸู…ุด ู…ุนู†ู‰ resistantุŸู‚ุงูˆู…ุฉ
928
+
929
+ 233
930
+ 00:22:05,300 --> 00:22:09,420
931
+ ูŠุนู†ูŠ ู‚ุงูˆู… ุงู„ุฃูˆุชูŠุฑ either it remains in the same
932
+
933
+ 234
934
+ 00:22:09,420 --> 00:22:12,540
935
+ position or nearly in the same position ูŠุนู†ูŠ ุจุชุงู†
936
+
937
+ 235
938
+ 00:22:12,540 --> 00:22:17,400
939
+ ุชู‚ุฑูŠุจุง ููŠ ู†ูุณ ุงู„ู…ูƒุงู† ุฃูˆ ู…ู…ูƒู† ุดูˆูŠุฉ ู…ุด ูƒุชูŠุฑ ู…ุด ูƒุฏู‡
940
+
941
+ 236
942
+ 00:22:17,400 --> 00:22:20,860
943
+ ุจู†ุงูƒูˆู† ู†ุญูƒูŠ ุนู„ูŠู‡ุง less sensitive by extreme values
944
+
945
+ 237
946
+ 00:22:20,860 --> 00:22:30,490
947
+ so now we have some measuresูˆ ุฏุนูˆู†ุง ู†ู‚ุฑุฑ ุจูŠู† ู‡ุฐู‡
948
+
949
+ 238
950
+ 00:22:30,490 --> 00:22:36,270
951
+ ุงู„ู…ุฌุงู„ุงุช ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง ููŠ ุญุงู„ุฉ ูˆุฌูˆุฏ ุฎุทูˆุท ุฎุงุฑู‚ุฉ ู„ูˆ
952
+
953
+ 239
954
+ 00:22:36,270 --> 00:22:43,110
955
+ ูƒุงู† ููŠ ุนู†ุฏ ู‚ูŠู… ุดุฏู‚ ุฃุดูˆู ู…ูŠู† ุฃุณุชุฎุฏู… ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„
956
+
957
+ 240
958
+ 00:22:43,110 --> 00:22:47,310
959
+ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุฎุทูˆุท ุฎุงุฑู‚ุฉ ุฃูˆ ู„ุง ู„ุฏูŠู†ุง ุฎุทูˆุท
960
+
961
+ 241
962
+ 00:22:47,310 --> 00:22:55,890
963
+ ุฎุงุฑู‚ุฉ ุฎุทูˆุท ุฎุงุฑู‚ุฉ ู†ุนู… ู‡ู†ุงูƒ ุฎุทูˆุท ุฎุงุฑู‚ุฉ ุฃูˆุฃูˆ ู…ุฌู…ูˆุนุงุช
964
+
965
+ 242
966
+ 00:22:55,890 --> 00:23:06,710
967
+ ุบูŠุฑ ู…ูˆุฌูˆุฏุฉ ู†ุญู† ู†ุชูƒู„ู… ุนู† ู…ูŠุงู† ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
968
+
969
+ 243
970
+ 00:23:06,710 --> 00:23:06,750
971
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
972
+
973
+ 244
974
+ 00:23:06,750 --> 00:23:08,550
975
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
976
+
977
+ 245
978
+ 00:23:08,550 --> 00:23:12,450
979
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
980
+
981
+ 246
982
+ 00:23:12,450 --> 00:23:12,570
983
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
984
+
985
+ 247
986
+ 00:23:26,110 --> 00:23:33,430
987
+ IQR ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง ุฎู„ุท ุฎู„ุท ุฎู„ุท ู…ุณุชุฎุฏู…
988
+
989
+ 248
990
+ 00:23:33,430 --> 00:23:38,210
991
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
992
+
993
+ 249
994
+ 00:23:38,210 --> 00:23:38,990
995
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
996
+
997
+ 250
998
+ 00:23:38,990 --> 00:23:39,350
999
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1000
+
1001
+ 251
1002
+ 00:23:39,350 --> 00:23:40,650
1003
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1004
+
1005
+ 252
1006
+ 00:23:40,650 --> 00:23:42,430
1007
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1008
+
1009
+ 253
1010
+ 00:23:42,430 --> 00:23:52,730
1011
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…
1012
+
1013
+ 254
1014
+ 00:23:54,340 --> 00:24:05,260
1015
+ ุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ุญุงู„ุฉ ุงุฎุฑุงุฌุงุช ุงูˆ ู„ุง ู„ุฐู„ูƒ
1016
+
1017
+ 255
1018
+ 00:24:05,260 --> 00:24:11,500
1019
+ ูŠุฌุจ ุงู† ู†ุงู‚ุต ุงุณุชุฎุฏุงู… ุงู„ุทุฑูŠู‚ุฉ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1020
+
1021
+ 256
1022
+ 00:24:11,500 --> 00:24:13,280
1023
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1024
+
1025
+ 257
1026
+ 00:24:13,280 --> 00:24:16,760
1027
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1028
+
1029
+ 258
1030
+ 00:24:16,760 --> 00:24:17,780
1031
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1032
+
1033
+ 259
1034
+ 00:24:17,780 --> 00:24:17,860
1035
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1036
+
1037
+ 260
1038
+ 00:24:17,860 --> 00:24:23,780
1039
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุช
1040
+
1041
+ 261
1042
+ 00:24:24,480 --> 00:24:33,240
1043
+ ู…ุด ุนู†ุฏูŠ ู‚ูŠู… ุดุงุฏุฉ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ูŠู† ุจุณุชุฎุฏู…ู‡ ู…ุด ู‡ูŠูƒ ูˆ
1044
+
1045
+ 262
1046
+ 00:24:33,240 --> 00:24:41,180
1047
+ avoid using the median ูˆ ุจุณุชุฎุฏู… ุงู„ range ูˆ ุจุณุชุฎุฏู…
1048
+
1049
+ 263
1050
+ 00:24:41,180 --> 00:24:43,260
1051
+ ุงู„ variance ูˆ ุงู„ standard deviation ูˆ ุงู„ู‡ูŠุงู† ูˆ
1052
+
1053
+ 264
1054
+ 00:24:43,260 --> 00:24:51,080
1055
+ ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ุฉ ู‡ุฐุง ุงู„ุฌุฏูˆู„ุฉ ุจูˆุถุญู„ูƒ ู…ูŠู† ุฃุณุชุฎุฏู…ุงู„ู€
1056
+
1057
+ 265
1058
+ 00:24:51,080 --> 00:24:54,680
1059
+ measure in case of outlier or if the outlier don't
1060
+
1061
+ 266
1062
+ 00:24:54,680 --> 00:24:59,460
1063
+ or doesn't exist if there is only one now which
1064
+
1065
+ 267
1066
+ 00:24:59,460 --> 00:25:12,720
1067
+ measure ุงู†ุง
1068
+
1069
+ 268
1070
+ 00:25:12,720 --> 00:25:21,390
1071
+ ุจุญูƒูŠ ุงุฐุง ู…ุงููŠุด outlier ุงู„ุฃูุถู„ ุงุณุชุฎุฏุงู… ุงู„ู€ meanุงู„ุทุจ
1072
+
1073
+ 269
1074
+ 00:25:21,390 --> 00:25:25,030
1075
+ ู…ุงุจูŠุจู†ู‚ุด ู„ูƒู† ุงู„ุฃูุถู„ ุฃุณุชุฎุฏู… ู‡ุฏูˆู„ ูƒู„ุงู…ูƒ ุตุญ ู„ูˆ ู…ุด
1076
+
1077
+ 270
1078
+ 00:25:25,030 --> 00:25:29,050
1079
+ ู…ูˆุฌูˆุฏูŠู† ุจู‚ุฏุฑ ุฃุณุชุฎุฏู… ู‡ุฏูˆู„ ู…ุงููŠุด ู…ุดูƒู„ุฉ ู„ูƒู† ุงู„ุฃูุถู„
1080
+
1081
+ 271
1082
+ 00:25:29,050 --> 00:25:33,870
1083
+ ุฃุณุชุฎุฏู… ุงู„ mean ูˆ ุงู„ rate ูˆ ุงู„ variation ูˆ ุงู„ cb
1084
+
1085
+ 272
1086
+ 00:25:33,870 --> 00:25:38,450
1087
+ ุงู„ุฃูุถู„ ู„ูƒู† ุฅุฐุง ู…ูˆุฌูˆุฏูŠู† ู„ุงุฒู… ุฃุจุนุฏ ุนู† ู‡ุฏูˆู„ ู„ุงุฒู… ู…ุฌุจุฑ
1088
+
1089
+ 273
1090
+ 00:25:38,450 --> 00:25:41,210
1091
+ ุฃุจุนุฏ ู„ูƒู† ุฅุฐุง ู…ุด ู…ูˆุฌูˆุฏูŠู† ู„ุฃูˆ ุชู„ุงุช ู…ู…ูƒู† ุฃุณุชุฎุฏู… ุฃูŠ
1092
+
1093
+ 274
1094
+ 00:25:41,210 --> 00:25:44,310
1095
+ ูˆุงุญุฏ ู…ู†ู‡ู… ู„ูƒู† ุงู„ุฃูุถู„ ุฃู†ูŠ ุฃุนู„ู…ูƒ ุนู„ูŠู‡ู…
1096
+
1097
+ 275
1098
+ 00:25:51,920 --> 00:25:58,980
1099
+ ุงู„ุงู† ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุจุณูŠุทุฉ ู„ุชุฎุทูŠุท IQR ุงู„ุงู†
1100
+
1101
+ 276
1102
+ 00:25:58,980 --> 00:26:03,740
1103
+ ู„ู„ู…ุซุงู„ ู‡ุฐุง ุงู„ู€ Q1
1104
+
1105
+ 277
1106
+ 00:26:03,740 --> 00:26:11,660
1107
+ ู‡ูˆ 30 ูˆ Q3 ู‡ูˆ 57 ูIQR
1108
+
1109
+ 278
1110
+ 00:26:11,660 --> 00:26:20,680
1111
+ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ู‡ุฐู‡ ุงู„ู‚ูŠู… ูู‡ูˆ ูู‚ุท ุชุฎุทูŠุท ุจุณูŠุทุŒ ุงู„ IQR
1112
+
1113
+ 279
1114
+ 00:26:21,420 --> 00:26:27,820
1115
+ ู‡ูˆ ูŠู‚ูˆู… ุจุชุญุณูŠู† 50% ู…ู† ุงู„ู…ู„ุงุญุธุงุช ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูู‚ุท
1116
+
1117
+ 280
1118
+ 00:26:27,820 --> 00:26:36,420
1119
+ 57 ู…ุงู†ูˆุณ 30 ู…ุงู†ูˆุณ 27 ู‡ุฐุง ูƒูŠู ุงุญุณุจ ุงู„ IQR ุฅุฐุง ุงู„
1120
+
1121
+ 281
1122
+ 00:26:36,420 --> 00:26:41,500
1123
+ IQR ูŠุจุฏูˆ ู…ุซู„ ุงู„ range ุจุณ ุงู„ range ู„ุญุธุฉ ู„ูˆ ุจุชุญุณุจ ุงู„
1124
+
1125
+ 282
1126
+ 00:26:41,500 --> 00:26:41,980
1127
+ range ู‡ู†ุง
1128
+
1129
+ 283
1130
+ 00:26:45,230 --> 00:26:54,050
1131
+ maximum 70% 58% ู‡ู†ุงูƒ ุงุฎุชู„ุงู ูƒุจูŠุฑ ุจูŠู† IQR ูˆRange
1132
+
1133
+ 284
1134
+ 00:26:54,050 --> 00:26:57,890
1135
+ ู‡ุฐุง ูŠุนู†ูŠ ุงู† ู‡ุฐุง ุงู„ุจูŠุงู†ุง๏ฟฝ๏ฟฝ ุฑุจู…ุง ู„ุฏูŠู‡ุง ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ
1136
+
1137
+ 285
1138
+ 00:26:57,890 --> 00:27:01,810
1139
+ ูˆุงุถุญ ููŠ ูุฑู‚ ูƒุจูŠุฑ ุจูŠู†ู‡ู… ุจุนุฏ ูƒุฏู‡ ู…ู…ูƒู† ูŠูƒูˆู† ููŠู‡ุง ุฎุทูˆุท
1140
+
1141
+ 286
1142
+ 00:27:01,810 --> 00:27:06,470
1143
+ ุฎุงุฑุฌูŠุฉ ู„ุญุธุฉ ูƒู„ ูƒู„ุงู…ู‡ ู…ู…ูƒู† ู…ุญุฏุฏุชุด ุงู‚ุตุฏ ุงุฐุง ูƒุงู† ู‡ู†ุงูƒ
1144
+
1145
+ 287
1146
+ 00:27:06,470 --> 00:27:10,450
1147
+ ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ ุงูˆ ู„ุง ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงุฐุง ุชุฐูƒุฑ Z-score
1148
+
1149
+ 288
1150
+ 00:27:12,270 --> 00:27:14,910
1151
+ ุจุงุณุชุฎุฏุงู… ู‡ุฐุง ุงู„ู‚ุฑุงุฑ ูŠู…ูƒู†ูƒ ุงู†ุชุฌ ุงุฐุง ู‚ูŠู…ุฉ ู‡ุฐุง
1152
+
1153
+ 289
1154
+ 00:27:14,910 --> 00:27:17,210
1155
+ ุงู„ุจูŠุงู†ุงุช ุชุนุชุจุฑ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ
1156
+
1157
+ 290
1158
+ 00:27:17,210 --> 00:27:19,510
1159
+ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ
1160
+
1161
+ 291
1162
+ 00:27:19,510 --> 00:27:22,170
1163
+ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ
1164
+
1165
+ 292
1166
+ 00:27:22,170 --> 00:27:25,510
1167
+ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ
1168
+
1169
+ 293
1170
+ 00:27:25,510 --> 00:27:25,930
1171
+ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ
1172
+
1173
+ 294
1174
+ 00:27:25,930 --> 00:27:27,590
1175
+ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ
1176
+
1177
+ 295
1178
+ 00:27:27,590 --> 00:27:31,130
1179
+ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ
1180
+
1181
+ 296
1182
+ 00:27:31,130 --> 00:27:37,370
1183
+ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠ
1184
+
1185
+ 297
1186
+ 00:28:09,690 --> 00:28:15,690
1187
+ ู‡ู†ุนู…ู„ ู…ู„ุฎุต ุฎู…ุณ ู‚ูŠู… ุงู„ู€ five number summary five
1188
+
1189
+ 298
1190
+ 00:28:15,690 --> 00:28:20,970
1191
+ numbers that he described ุจุชุณุงุนุฏู†ูŠ ุฃุนุฑู ุงู„ center
1192
+
1193
+ 299
1194
+ 00:28:20,970 --> 00:28:27,730
1195
+ spread and shape ู…ู…ูƒู† ุฃุนุฑู ุงู„ value in the middle
1196
+
1197
+ 300
1198
+ 00:28:27,730 --> 00:28:32,930
1199
+ ุฃุนุฑู ุงู„ variability ุงู„ุชุดุชุฑ ูˆ ุฃุนุฑู ุงู„ุดูƒู„ ุงู„ five
1200
+
1201
+ 301
1202
+ 00:28:32,930 --> 00:28:39,160
1203
+ number summary are ุญุฏ ูŠุณู…ูŠ X smallestุงู„ู‚ูŠู…ุฉ ุงู„ุฃู‚ู„
1204
+
1205
+ 302
1206
+ 00:28:39,160 --> 00:28:49,620
1207
+ ู‡ูŠ Q1 median Q3 and X largest ุฏุนูˆู†ุง
1208
+
1209
+ 303
1210
+ 00:28:49,620 --> 00:28:55,740
1211
+ ู†ุฑู‰ ู…ุงู‡ูŠ ุนู„ุงู‚ูŠุฉ ุจูŠู† ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ุงู„ุฎู…ุณุฉ ุฑู‚ู…ูŠุฉ ู‡ุฐุง
1212
+
1213
+ 304
1214
+ 00:28:55,740 --> 00:29:00,420
1215
+ ุงู„ุนุฑุถ ูŠุธู‡ุฑ ุงู„ุนู„ุงู‚ุงุช ุจูŠู† ุงู„ุชุนุฑูŠูุงุช ุงู„ุฎู…ุณุฉ ุฑู‚ู…ูŠุฉ
1216
+
1217
+ 305
1218
+ 00:29:00,420 --> 00:29:06,100
1219
+ ูˆุนู„ุงู‚ุงุช ุงู„ู…ุดุงุฑูƒุฉ ุจุงู„ุฃุฎุต ู„ูŠู‡ู…ุฅูŠุด ุงู„ุนู„ุงู‚ุงุช ุงู„ู„ูŠ
1220
+
1221
+ 306
1222
+ 00:29:06,100 --> 00:29:09,940
1223
+ ุจูŠู†ู‡ู… ูˆุจูŠูˆุถุญ ุงู„ shape ุฅุฐุง ูƒุงู† symmetric left
1224
+
1225
+ 307
1226
+ 00:29:09,940 --> 00:29:16,540
1227
+ skewed or right skewed it's very hard to remember
1228
+
1229
+ 308
1230
+ 00:29:16,540 --> 00:29:21,380
1231
+ this table so let's see how can we figure out the
1232
+
1233
+ 309
1234
+ 00:29:21,380 --> 00:29:24,160
1235
+ relationships among the five number summary and
1236
+
1237
+ 310
1238
+ 00:29:24,160 --> 00:29:28,600
1239
+ find the distribution shape just by looking at the
1240
+
1241
+ 311
1242
+ 00:29:28,600 --> 00:29:32,080
1243
+ figure itself let's start with the symmetric
1244
+
1245
+ 312
1246
+ 00:29:32,080 --> 00:29:40,110
1247
+ distribution symmetric it meansุงู„ู„ูŠ ู‡ูˆ ู…ุชู…ุซู„ ู„ูˆ
1248
+
1249
+ 313
1250
+ 00:29:40,110 --> 00:29:46,590
1251
+ ูƒุงู† ุนู†ุฏูŠ ู‡ู†ุง smallest ูˆู‡ุฐู‡
1252
+
1253
+ 314
1254
+ 00:29:46,590 --> 00:29:50,250
1255
+ largest ู‡ู†ุง
1256
+
1257
+ 315
1258
+ 00:29:50,250 --> 00:29:54,170
1259
+ Q3 Q2
1260
+
1261
+ 316
1262
+ 00:29:54,170 --> 00:30:02,290
1263
+ Q1 ู‡ุงูŠ ุงู„ five number similar smallest largest
1264
+
1265
+ 317
1266
+ 00:30:02,290 --> 00:30:08,740
1267
+ ุงู„ุตุบูŠุฑ ูˆุงู„ูƒุจูŠุฑูˆ ููŠ ุนู†ุฏูƒ Q1, Q2 ูˆ Q3 ุงู„ุณูŠู…ุชุฑูŠูƒุด
1268
+
1269
+ 318
1270
+ 00:30:08,740 --> 00:30:18,380
1271
+ ู…ุนู†ุงู‡ ุจุชุงุฎุฏ ุชู„ุช ุดุบู„ุงุช ููŠ ุงู„ุฃูˆู„ ุงู„ median minus
1272
+
1273
+ 319
1274
+ 00:30:18,380 --> 00:30:24,440
1275
+ smallest ู‡ุงูŠ ุงู„ู…ูŠุฏูŠุงู† ู…ุธู‡ุฑ ู‡ุงูŠ ุงู„ู…ูŠุฏูŠุงู† ุงู„ู…ุณุงูุฉ
1276
+
1277
+ 320
1278
+ 00:30:24,440 --> 00:30:28,160
1279
+ ู‡ุฐู‡ ู‡ู†ุง ูˆ
1280
+
1281
+ 321
1282
+ 00:30:28,160 --> 00:30:33,320
1283
+ ุงู„ู…ุณุงูุฉ ู…ู† ุงู„ median ู„ุบุงูŠุฉุงู„ู€ Largest ู‡ุฏูˆู„
1284
+
1285
+ 322
1286
+ 00:30:33,320 --> 00:30:37,580
1287
+ ุงู„ู…ุณุงูุชูŠู† ู…ุนุงู‡ู… ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถ ุฅุฐุง ุฃุฎุฏ ููŠ ุงู„ุฃูˆู„
1288
+
1289
+ 323
1290
+ 00:30:37,580 --> 00:30:41,180
1291
+ ู…ุณุงูุฉ ู…ู† ุงู„ู€ Q2 ู„ุบุงูŠุฉ smallest ู…ู† ุงู„ู€ Q2 ู„ู„
1292
+
1293
+ 324
1294
+ 00:30:41,180 --> 00:30:45,320
1295
+ largest ุชูƒูˆู† ุญูˆุงู„ูŠ ุจุนุถ ุฅุฐุง ุงู„ median minus
1296
+
1297
+ 325
1298
+ 00:30:45,320 --> 00:30:48,860
1299
+ smallest ุชู‚ุฑูŠุจุง ุจุชุณุงูˆูŠ largest ู†ู‚ุต ุงู„ median ู‡ุฐุง
1300
+
1301
+ 326
1302
+ 00:30:48,860 --> 00:30:56,200
1303
+ ุฃูˆู„ ูˆุงุญุฏุฉ ู„ูŠุด ุฃุฎุฏ ุงู„ุชุงู†ูŠุฉุŸ ุจุฏูŠ ุฃุฎุฏ ุงู„ุฃุทุฑุงู ุงู„ู„ูŠ ู‡ูŠ
1304
+
1305
+ 327
1306
+ 00:30:56,200 --> 00:31:05,130
1307
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆุงู„ู…ู†ุทู‚ุฉ ู‡ู†ุงู…ุงุฐุง ู‚ู„ุช ุนู„ูŠู‡ู…ุŸ ุงู„ู€
1308
+
1309
+ 328
1310
+ 00:31:05,130 --> 00:31:10,930
1311
+ Q1 minus smallest ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ุชู‚ุฑูŠุจุงู‹
1312
+
1313
+ 329
1314
+ 00:31:10,930 --> 00:31:13,590
1315
+ equal ู…ูŠู†ุŸ ุงู„ largest minus Q3 ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง
1316
+
1317
+ 330
1318
+ 00:31:13,590 --> 00:31:18,230
1319
+ ุชู„ุงุญุธูˆุง ุทู„ุน ุงู„ู…ุณุงูุชูŠู† ู‡ุฐูˆู„ุŸ ุชู‚ุฑูŠุจุงู‹ ู…ุง ู„ู‡ู…ุŸ ุฒูŠ ุจุนุถ
1320
+
1321
+ 331
1322
+ 00:31:18,230 --> 00:31:22,730
1323
+ ู‡ุฐูŠู† ู„ูˆ ูƒุงู†ูˆุง ุงู†ุฏุณูŠู…ุชุฑูŠูƒ ูŠุจุชุฏูˆุง ูˆุงุญุฏุฉ ุชุงู„ุชุฉ median
1324
+
1325
+ 332
1326
+ 00:31:22,730 --> 00:31:29,930
1327
+ minus Q1 ู‡ูŠ ุงู„ median ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ุงู„ู…ุณุงูุฉ
1328
+
1329
+ 333
1330
+ 00:31:29,930 --> 00:31:39,290
1331
+ ู‡ุฐู‡ุงู„ู…ุณุงูุฉ ุฏูŠ ู…ุด ุนู„ุงู‚ุฉ ุชุจู‚ู‰ q2 minus q3 ุฒูŠ ุจุนุถ ุฅุฐุง
1332
+
1333
+ 334
1334
+ 00:31:39,290 --> 00:31:43,930
1335
+ media minus q1 is the same as q3 minus media ุฅุฐุง
1336
+
1337
+ 335
1338
+ 00:31:43,930 --> 00:31:48,830
1339
+ ุงู„ู…ุณุงูุฉ ููŠ ุงู„ู†ุต ุญูˆุงู„ูŠ ุงู„ q2 ู…ุง ู„ู‡ู… ุฒูŠ ุจุนุถ ุฅุฐุง ููŠ
1340
+
1341
+ 336
1342
+ 00:31:48,830 --> 00:31:54,930
1343
+ ู‡ุฐู‡ ุงู„ุชู„ุงุช ุดุบู„ุงุช ุงู„ q2 was smallest ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ
1344
+
1345
+ 337
1346
+ 00:31:54,930 --> 00:32:00,440
1347
+ ู‡ู†ุงุฒูŠ ู…ูŠู†ุŸ ุงู„ largest ููŠ ุงู„ Q2 ู‡ุฐู‡ ูˆุงุญุฏุฉุŒ ุจุนุฏูŠู†
1348
+
1349
+ 338
1350
+ 00:32:00,440 --> 00:32:04,460
1351
+ ุงู„ุฃุทุฑุงู ู‡ุฏูˆู„ ุฒูŠ ุจุนุถ ูˆ ุงู„ููˆุฑ ู†ุต ุฒูŠ ุจุนุถุŒ ุฅุฐุง
1352
+
1353
+ 339
1354
+ 00:32:04,460 --> 00:32:08,540
1355
+ ุฃุชูู‡ู…ูŠู‡ุง ูƒูŠูุŸ ู…ู† ุงู„ู†ุต ู„ู„ูŠู…ูŠู† ุฎุงู„ุต ูˆ ู„ุดู…ุงู„ ุฎุงู„ุต ุฒูŠ
1356
+
1357
+ 340
1358
+ 00:32:08,540 --> 00:32:13,060
1359
+ ุจุนุถุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ูŠุŒ ูˆ ุงู„ุฃุทุฑุงู ุฒูŠ ุจุนุถ ูˆ
1360
+
1361
+ 341
1362
+ 00:32:13,060 --> 00:32:17,780
1363
+ ุงู„ููˆุฑ ู†ุต ุฒูŠ ุจุนุถุŒ ู„ูˆ ู‡ุฐุง ุงุชุญู‚ู‚ุŒ ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏูŠ ุฅูŠุดุŸ
1364
+
1365
+ 342
1366
+ 00:32:17,780 --> 00:32:21,540
1367
+ SymmetricุŒ ุฅุฐุง ู†ุดูŠุจ Symmetricูˆุงู„ู€ relationship
1368
+
1369
+ 343
1370
+ 00:32:21,540 --> 00:32:24,860
1371
+ among these five numbers are the same ู„ุฃ if you
1372
+
1373
+ 344
1374
+ 00:32:24,860 --> 00:32:27,640
1375
+ look here medium minus smallest equal is roughly
1376
+
1377
+ 345
1378
+ 00:32:27,640 --> 00:32:31,560
1379
+ equal and so on that's for symmetric distribution
1380
+
1381
+ 346
1382
+ 00:32:31,560 --> 00:32:39,040
1383
+ ุฅุฐุง ู†ุฏู‰ ุฃูˆู„ ูˆุงุญุฏุฉ symmetric ุฑู‚ู…
1384
+
1385
+ 347
1386
+ 00:32:39,040 --> 00:32:48,140
1387
+ ุงุชู†ูŠู† ู†ุงุฎุฏ ุงู„ lift ุฅูŠุด ู…ุนู†ู‰ lift skewed ูŠุนู†ูŠ ุนู„ู‰
1388
+
1389
+ 348
1390
+ 00:32:48,140 --> 00:32:52,670
1391
+ ุงู„ุดู…ุงู„ ุฃูƒุชุฑูŠุนู†ูŠ ุงู†ุง ู‡ุงุฎุฏ ู‡ูŠูƒ ู‡ุทูˆู„ ุงู„ู„ูŠ ุงูุชู‰ ู„ุญุธุฉ
1392
+
1393
+ 349
1394
+ 00:32:52,670 --> 00:32:57,570
1395
+ ู‡ุทูˆู„ู‡ ู‡ูŠูƒ ูˆ ุงู„ูŠุงู…ูŠู† ุฃุตุบุฑ ูˆ ุงู„ูŠุงู…ูŠู† ุฃุตุบุฑ ูŠุนู†ูŠ ุจุชุงุฎุฏ
1396
+
1397
+ 350
1398
+ 00:32:57,570 --> 00:33:03,130
1399
+ ู‡ูŠูƒ ุชูƒูˆู† ุทูˆูŠู„ุฉ ุฎุงู„ุต ุญุชู‰ ุญุชู‰ ุงู„ Q2 ุจุชุญุทู‡ุง ุจุนูŠุฏ ูˆ ู‡ูŠ
1400
+
1401
+ 351
1402
+ 00:33:03,130 --> 00:33:10,230
1403
+ Q3 ูˆ Q1 ูˆ ู‡ูŠ ุงู„ .. ูˆ ู‡ูŠ ุงู„ left ุชุญุช ู†ูุณ ุงู„ data
1404
+
1405
+ 352
1406
+ 00:33:10,230 --> 00:33:14,630
1407
+ ูŠุนู†ูŠ ู…ุงุดูŠ ู†ูุณ ุงู„ู†ุธุงู… ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ุงู†ุง .. ุงู†ุง ู…ุด
1408
+
1409
+ 353
1410
+ 00:33:14,630 --> 00:33:19,460
1411
+ ู‡ู‚ุฑุฃ ู…ู† ู‡ู†ุง ู‡ู‚ุฑุฃ ู…ู† ุงู„ุฑุณู…ุฉุญูƒูŠ ุฃู† ุฃุฎุฏ ู…ู† Q2
1412
+
1413
+ 354
1414
+ 00:33:19,460 --> 00:33:23,000
1415
+ ู„ู„ู€largest ูˆ ู„ู„smallest ู„ุญุธุฉุŒ ุฃู†ุง ู‡ู‚ุฑุฃ ู…ู† ู‡ู†ุงุŒ ู‡ูŠ
1416
+
1417
+ 355
1418
+ 00:33:23,000 --> 00:33:31,440
1419
+ X smallest ูˆ ู‡ูŠ Q2 Q2 ู†ุงู‚ุต X smallest ุงู„ู…ุณุงูุฉ ู‡ุฐู‡
1420
+
1421
+ 356
1422
+ 00:33:31,440 --> 00:33:39,160
1423
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† largest ู†ุงู‚ุต Q2ุŒ ู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุญุฏุฉ ุงู„ู„ูŠ
1424
+
1425
+ 357
1426
+ 00:33:39,160 --> 00:33:44,180
1427
+ ู‡ูŠ ุงู„ุฃูˆู„ู‰ ุงู„ู…ูƒุชูˆุจุฉ ู‡ู†ุง media ู†ุงู‚ุต smallest ุฃูƒุจุฑ ู…ู†
1428
+
1429
+ 358
1430
+ 00:33:44,180 --> 00:33:49,260
1431
+ largest minus medianุจุนุฏูŠู† ุงู„ุฃุทุฑุงู ุงู„ุฃุทุฑุงู ููŠ
1432
+
1433
+ 359
1434
+ 00:33:49,260 --> 00:33:55,320
1435
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุงู„ุฃุทุฑุงู ู‡ูŠ ุงู„ุทุฑู ุงู„ุชุงู†ูŠ ู‡ุฐู‡
1436
+
1437
+ 360
1438
+ 00:33:55,320 --> 00:34:00,520
1439
+ ู…ุนู†ุงู‡ ุงูŠุด ุงู†ุง ุจุฏุฃ ุงู‚ุฑุฃ ุงู†ุชุจู‡ ู…ุนุงู‡ ู‡ู†ุง Q1 minus X
1440
+
1441
+ 361
1442
+ 00:34:00,520 --> 00:34:04,760
1443
+ smallest ู†ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃูƒุจุฑ ู…ู† largest minus Q3
1444
+
1445
+ 362
1446
+ 00:34:04,760 --> 00:34:10,660
1447
+ ุจุชุงู‡ู… ุงูŠุดุŸ ุงู„ู ูˆ ุงู„ู†ุต ูˆ 150% ุงู„ู ูˆ ุงู„ู†ุต ุงู„ู…ู†ุทู‚ุฉ
1448
+
1449
+ 363
1450
+ 00:34:10,660 --> 00:34:24,100
1451
+ ุงู„ู„ูŠ ู‡ู†ุงQ2-Q1 Median-Q1 ุฃูƒุจุฑ ู…ู† Q3-Q1 Q2 ู…ุธุจูˆุท ุทูŠุจ
1452
+
1453
+ 364
1454
+ 00:34:24,100 --> 00:34:30,240
1455
+ ุจุฏูŠ ูˆุงุญุฏุฉ ุชุฑุณู…ูŠ ุงู„ุชุงู„ุชุฉ ูˆ ุงุชุนู„ู‚ ุนู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูŠ
1456
+
1457
+ 365
1458
+ 00:34:30,240 --> 00:34:35,460
1459
+ right skewed ู‡ูŠ ุชู„ุงุชุฉ ุงุฑุณู…ู‡ุง ู‡ู†ุง ุงู„ุชู„ุงุชุฉ ู‡ุฐุง left
1460
+
1461
+ 366
1462
+ 00:34:35,460 --> 00:34:38,960
1463
+ ุชู„ุงุชุฉ right skewed
1464
+
1465
+ 367
1466
+ 00:34:40,740 --> 00:34:44,120
1467
+ right tail ูŠุนู†ูŠ ุงู„ุทุฑู ุงู„ุฃุทูˆู„ ู‡ูˆ ุงู„ุฃูŠู…ู† ูŠุนู†ูŠ the
1468
+
1469
+ 368
1470
+ 00:34:44,120 --> 00:34:46,740
1471
+ right tail is longer than left tail
1472
+
1473
+ 369
1474
+ 00:35:18,040 --> 00:35:27,440
1475
+ ู…ู…ุชุงุฒ ุงู„ุฑุณู… ูƒุฏู‡ ุตุญ ู„ุญุธุฉ ุงู„ุทุฑู ุงู„ุงูŠู…ุงู† ุงุทูˆู„
1476
+
1477
+ 370
1478
+ 00:35:27,440 --> 00:35:29,420
1479
+ ูŠุนู†ูŠ ุงู„ right tail longer than left tail
1480
+
1481
+ 371
1482
+ 00:35:45,130 --> 00:35:48,530
1483
+ ู„ุฃู†ู‡ุง ุณุชู‚ุฑุฃ ุงู„ุชู„ุงุช ุนู„ุงู‚ุงุช ุชุงุจุนุฉ ุนู„ูŠู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู†
1484
+
1485
+ 372
1486
+ 00:35:48,530 --> 00:36:01,550
1487
+ ุฅุฐุง
1488
+
1489
+ 373
1490
+ 00:36:01,550 --> 00:36:10,270
1491
+ ุฃูˆู„ ูˆุงุญุฏุฉ ุงู„ largest minus Q2 greater than Q2
1492
+
1493
+ 374
1494
+ 00:36:10,270 --> 00:36:14,240
1495
+ minus smallest ูŠุนู†ูŠ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆุงุถุญุฃูƒุจุฑ
1496
+
1497
+ 375
1498
+ 00:36:14,240 --> 00:36:18,220
1499
+ ุจูƒุชูŠุฑ ุงู„ู…ุณุงูุฉ ุงู„ู„ู‰ ู‡ู†ุง ู‡ุฐุง ู…ุนู†ุงู‡ right skewed ุชุงู†ู‰
1500
+
1501
+ 376
1502
+ 00:36:18,220 --> 00:36:25,440
1503
+ ูˆุงุญุฏุฉ ู…ู…ุชุงุฒ
1504
+
1505
+ 377
1506
+ 00:36:25,440 --> 00:36:31,340
1507
+ Q1 minus smallest ุงุชุฎุฐู†ุง ุงู„ุฃุทุฑุงู ุงู„ู„ู‰ ู‡ูˆ largest
1508
+
1509
+ 378
1510
+ 00:36:31,340 --> 00:36:35,660
1511
+ minus Q3 ุงู„ู…ุณุงูุฉ ุงู„ู„ู‰ ู‡ู†ุง ุฃุทูˆู„ ู…ู† Q1 minus X
1512
+
1513
+ 379
1514
+ 00:36:35,660 --> 00:36:38,120
1515
+ smallest ุจุชุงู… ุงู„ุชุงู„ุชุฉ ู๏ฟฝ๏ฟฝ ุงู„ู†ุต
1516
+
1517
+ 380
1518
+ 00:36:42,380 --> 00:36:46,160
1519
+ ู…ู…ุชุงุฒุฉ ู‡ุงูŠ ุงู„ุชู„ุงุช ุญุงู„ุงุช ุงุฐุง ู…ุงู‡ุง ูƒุฏู‡ ู…ุงููŠุด ุฏุงุนูŠ ุงู†
1520
+
1521
+ 381
1522
+ 00:36:46,160 --> 00:36:53,080
1523
+ ุงุญูุธ ุงู„ table ุงุฑุณู… ุงู„ุฑุงุณู… ุตุญ ู‡ุชุนุฑู ุงู„ุชู„ุงุช ุตุญ ูˆุงุถุญุŸ
1524
+
1525
+ 382
1526
+ 00:36:53,080 --> 00:36:56,540
1527
+ ููŠ ุงู„ุฎู„ุงุตุฉ ููŠ ุงู„ left skewed always we have
1528
+
1529
+ 383
1530
+ 00:36:56,540 --> 00:37:00,580
1531
+ positive greater than ููŠ ุงู„ right we have smaller
1532
+
1533
+ 384
1534
+ 00:37:00,580 --> 00:37:04,960
1535
+ than ููŠ ุงู„ symmetric roughly equal ู‡ุงูŠ ุงู„ุนู„ุงู‚ุฉ ู…ุง
1536
+
1537
+ 385
1538
+ 00:37:04,960 --> 00:37:05,980
1539
+ ุจูŠู† ุงู„ุชู„ุงุชุฉ
1540
+
1541
+ 386
1542
+ 00:37:10,820 --> 00:37:16,540
1543
+ any questionุŸ ููŠ
1544
+
1545
+ 387
1546
+ 00:37:16,540 --> 00:37:23,280
1547
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู†ู…ุณุญู‡ู… ูˆ ู†ุบุทูŠ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุจุฏูŠ ุชู„ุงุชุฉ
1548
+
1549
+ 388
1550
+ 00:37:23,280 --> 00:37:28,580
1551
+ ู…ู†ูƒู… ูŠุนูŠุฏูˆู‡ู… ูˆุงุญุฏุฉ
1552
+
1553
+ 389
1554
+ 00:37:28,580 --> 00:37:32,140
1555
+ ุชุทู„ุน ุชู…ุณุญ ูˆ ุชูƒู…ู„ ุชุนู…ู„ูŠ ุงู„ symmetric ููŠ ุงู„ุฃูˆู„
1556
+
1557
+ 390
1558
+ 00:37:40,170 --> 00:37:44,030
1559
+ ุจุชุนูˆุฏ ูƒู„ ู„ู‚ุงุก ูŠุนู†ูŠ ู„ู…ุง ุฃุดุฑุญ ุดุบู„ุฉ ู…ุนูŠู†ุฉ ูˆุดุบู„ุฉ ุฒูŠู‡ุง
1560
+
1561
+ 391
1562
+ 00:37:44,030 --> 00:37:51,350
1563
+ ุงู†ุช .. ุงู†ุช ููŠ ุณู„ู†ุชูƒ ุชุนู…ู„ูŠู‡ุง ุงู…ุณุญูŠู‡ู…
1564
+
1565
+ 392
1566
+ 00:37:51,350 --> 00:37:56,390
1567
+ ู„ุงุญ ุชุงุฎุฏูŠุง ุงู„ุญู„ู‚ุฉ ุงู„ุฃูˆู„ู‰ ุณุงู…ูŠู‡ุง symmetric
1568
+
1569
+ 393
1570
+ 00:38:10,980 --> 00:38:14,480
1571
+ Double M Double M Double M ู…ุด ู…ุดูƒู„ุฉ ู…ุด ู‡ู†ุฏู‚ ูƒุชูŠุฑ
1572
+
1573
+ 394
1574
+ 00:38:14,480 --> 00:38:23,140
1575
+ ุนู„ู‰ ุงู„ุชุฑุฌู…ุฉ ุจุณ ูƒุชุจู‡ุง ุตุญ Double M ุงูŠ
1576
+
1577
+ 395
1578
+ 00:38:23,140 --> 00:38:27,900
1579
+ ุงูŠ ุงูŠ ุจูŠุนู…ู„ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1580
+
1581
+ 396
1582
+ 00:38:27,900 --> 00:38:32,860
1583
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1584
+
1585
+ 397
1586
+ 00:38:32,860 --> 00:38:33,000
1587
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1588
+
1589
+ 398
1590
+ 00:38:33,000 --> 00:38:33,620
1591
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1592
+
1593
+ 399
1594
+ 00:38:33,620 --> 00:38:35,540
1595
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1596
+
1597
+ 400
1598
+ 00:38:38,590 --> 00:38:42,150
1599
+ ู‡ุชุฑุณู… ุงู„ู€ Symmetric ุงู„ู€ Symmetric ุฏูŠ ู‡ูˆ ุงู„ุญุงูุธุฉ ุฅู†
1600
+
1601
+ 401
1602
+ 00:38:42,150 --> 00:38:47,710
1603
+ ุงู„ู…ุณุงูุงุช ุฒูŠ ุจุนุถ ูŠุนู†ูŠ Q2 in the middle ูˆ ุงู„ู…ุณุงูุงุช
1604
+
1605
+ 402
1606
+ 00:38:47,710 --> 00:38:56,910
1607
+ ุญูˆุงู„ูŠู†ู‡ุง ู…ุชุณุงูˆูŠุฉ ู…ู…ุชุงุฒ
1608
+
1609
+ 403
1610
+ 00:38:56,910 --> 00:39:00,550
1611
+ ุฒูŠ ุฏู‡ Q1 ู„ุญุธุฉ ุญุงูˆู„ุช ุชุญูˆู„ ุงู„ู…ุณุงูุฉ ู…ุง ุจูŠู† ุงู„ู€Q ู‡ุฏูˆู„
1612
+
1613
+ 404
1614
+ 00:39:00,550 --> 00:39:06,710
1615
+ ู…ุน ุงู„ smallest ุญูˆุงู„ูŠู† ุจุนุถ ูˆ
1616
+
1617
+ 405
1618
+ 00:39:06,710 --> 00:39:10,510
1619
+ ู‡ุฐุง ุงู„ largestู…ุด ูุงูŠุฑ ุฏุฑุงุณุฉ ู…ุง ูƒูˆูŠุณุฉ ู„ู…ูŠู†ุŸ ู„ู€
1620
+
1621
+ 406
1622
+ 00:39:10,510 --> 00:39:14,290
1623
+ Symmetric Distribution ุงู„ medium ุจุชูƒูˆู† ููŠ ุงู„ู†ุต ูˆ
1624
+
1625
+ 407
1626
+ 00:39:14,290 --> 00:39:18,930
1627
+ ุงู„ Q1 ูˆ Q3 ุญูˆุงู„ูŠู‡ ููŠ ุงู„ู†ุต ูˆ ุงู„ุฅุทุฑุงู ูŠูƒูˆู†ูˆุง ุฒูŠ ุจุนุถ
1628
+
1629
+ 408
1630
+ 00:39:18,930 --> 00:39:24,410
1631
+ ุชู‚ุฑูŠุจุง ูุชู„ุงุญุธูŠ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ููŠ ุงู„ Symmetric ุฒูŠ
1632
+
1633
+ 409
1634
+ 00:39:24,410 --> 00:39:28,150
1635
+ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุงู„ู…ุณุงูุฉ ุจูŠู† ุงู„ Q1 ูˆ Q2 ุฒูŠ ุงู„ู„ูŠ
1636
+
1637
+ 410
1638
+ 00:39:28,150 --> 00:39:32,040
1639
+ ู‡ู†ุง ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ู… ู‡ูŠ ู‡ุชุญูƒูŠู‡ู…ุงู„ู„ูŠ ู‡ูˆ ุงู„
1640
+
1641
+ 411
1642
+ 00:39:32,040 --> 00:39:34,180
1643
+ relationship among the five numbers ุนู…ู„ูŠ ุงุจุฏูŠ
1644
+
1645
+ 412
1646
+ 00:39:34,180 --> 00:39:42,880
1647
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฃูˆู„
1648
+
1649
+ 413
1650
+ 00:39:42,880 --> 00:39:53,320
1651
+ ุฅุดุงุฑุฉ ุงู„ู€
1652
+
1653
+ 414
1654
+ 00:39:53,320 --> 00:39:54,700
1655
+ Q1 minus ุงู„ู€ Q smallest
1656
+
1657
+ 415
1658
+ 00:40:14,830 --> 00:40:18,790
1659
+ Q2-Q3-Q3-Q3
1660
+
1661
+ 416
1662
+ 00:40:18,790 --> 00:40:19,210
1663
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1664
+
1665
+ 417
1666
+ 00:40:19,210 --> 00:40:19,290
1667
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1668
+
1669
+ 418
1670
+ 00:40:19,290 --> 00:40:19,310
1671
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1672
+
1673
+ 419
1674
+ 00:40:19,310 --> 00:40:22,060
1675
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3ุงู„ู€ U2 minus X smallest equal
1676
+
1677
+ 420
1678
+ 00:40:22,060 --> 00:40:26,640
1679
+ U2 minus X ุงู„ุนูƒุณ X large minus X ุตุบูŠุฑ ุฏู‡ ุนู†ุฏู‡
1680
+
1681
+ 421
1682
+ 00:40:26,640 --> 00:40:30,280
1683
+ ุจุงู„ูƒุจูŠุฑ ู†ู‚ุต ุตุบูŠุฑ ุฒูŠ ุงู„ุชู„ุงุช ุญุงู„ุงุช ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุฒูŠ
1684
+
1685
+ 422
1686
+ 00:40:30,280 --> 00:40:35,240
1687
+ ุจุนุถ ุงู„ุฃุทุฑุงู ุฒูŠ ุจุนุถ ู…ู† ุงู„ู†ุต ู„ู„ุตุบูŠุฑ ุจุณูˆุก ู…ู† ุงู„ู†ุต
1688
+
1689
+ 423
1690
+ 00:40:35,240 --> 00:40:41,340
1691
+ ู„ู„ูƒุจูŠุฑ ูˆุงุถุญุŸ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Symmetric ู†ุงุฎุฏ ุงู„ู€
1692
+
1693
+ 424
1694
+ 00:40:41,340 --> 00:40:41,500
1695
+ Left
1696
+
1697
+ 425
1698
+ 00:40:49,760 --> 00:40:56,320
1699
+ ุงู„ู„ูŠ ู‡ุชุฑุณู… ุฑุณู…ุฉ ุงู„ู€ left ุงู…ุณุญู‡ุง ูŠุงู„ู‡ุง ุฏูˆู„ ูˆูƒู…ู„ู‡ุง
1700
+
1701
+ 426
1702
+ 00:40:56,320 --> 00:41:04,860
1703
+ left
1704
+
1705
+ 427
1706
+ 00:41:04,860 --> 00:41:10,280
1707
+ skewed ุงู„ู€ left skewed ู…ุนู†ุงู‡ ุงู† ุงู„ู€ left tail is
1708
+
1709
+ 428
1710
+ 00:41:10,280 --> 00:41:13,340
1711
+ longer than right tail ูู„ุงู† ู‡ูŠ ู‡ุชุงุฎุฏ ุงู„ smallest
1712
+
1713
+ 429
1714
+ 00:41:13,340 --> 00:41:23,250
1715
+ ุนู† ุงู„ Q1 ุฃุทูˆู„ู…ู† ุงู„ู€ Largest ุนู† ุงู„ู€ Q3 ุจุณ
1716
+
1717
+ 430
1718
+ 00:41:23,250 --> 00:41:26,330
1719
+ ู‡ูŠ ุฑุณู…ุช ุงู„ู€ Box .. ุงู„ู‚ุงุนุฏุฉ ุงู„ุฌุงูŠุฉ ู‡ุชุณู…ูŠู‡ Box Block
1720
+
1721
+ 431
1722
+ 00:41:26,330 --> 00:41:32,150
1723
+ ู…ู…ุชุงุฒุฉุŒ ุงู†ุชุทู„ุช ุงู„ minimum value ูˆ ุงู†ุง ู‡ุชุฒุบุฑ ุงู„
1724
+
1725
+ 432
1726
+ 00:41:32,150 --> 00:41:35,590
1727
+ maximum value ุจุณ ุงุนุทูŠู†ูŠ ุงุณู… ุนู„ูŠู‡ู… ุฎู„ุงุต
1728
+
1729
+ 433
1730
+ 00:41:48,690 --> 00:42:02,090
1731
+ Q1 ู…ุธุจูˆุท ู‡ูŠูƒ ุงุชู„ุงุญุธ
1732
+
1733
+ 434
1734
+ 00:42:02,090 --> 00:42:08,690
1735
+ ุจุณ ู‡ูŠ ุดู‡ุฏ ุงู‡ ุชุจุนุฏูŠู‡ุง ุดูˆูŠุฉ ูƒูˆูŠุณ ูŠุนู†ูŠ ุงู†ุง ู…ู† ูุชุฑุฉ
1736
+
1737
+ 435
1738
+ 00:42:08,690 --> 00:42:15,740
1739
+ ุงู„ู„ูŠ ู‚ูˆู„ุช ููŠ ุงู„ุฏุฑุงุณุฉ ุงู„ูˆุงุญุฏุฉ ุงู„ Q1 ูˆ X smallestู„ุฃ
1740
+
1741
+ 436
1742
+ 00:42:15,740 --> 00:42:22,280
1743
+ ู„ุฃ ูƒุฏู‡ ุตุญ ุจุชู†ูุน ู…ุงุฒูŠุด ู…ุดูƒู„ุฉ ุงู„ medium minus ุงู„ x
1744
+
1745
+ 437
1746
+ 00:42:22,280 --> 00:42:27,940
1747
+ smallest ู‡ู… ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ x largest
1748
+
1749
+ 438
1750
+ 00:42:27,940 --> 00:42:30,940
1751
+ minus ุงู„ medium ุงู„ู…ู…ุชุงุฒ ุงุฐุง ุงู†ุง ุจุงู„ูˆุงุญุฏุฉ ุงู„ medium
1752
+
1753
+ 439
1754
+ 00:42:30,940 --> 00:42:35,160
1755
+ minus smallest ุฃูƒุจุฑ ู…ู† ุงู„ largest minus ุงู„ medium
1756
+
1757
+ 440
1758
+ 00:42:35,160 --> 00:42:38,960
1759
+ ุงู†ุง ุฏุงุฎู„ ุงู„ุฃุทุฑุงู ุฎุงู„ุต ู…ู† ุงู„ู†ุต ู„ู„ุขุฎุฑ ุชุงู†ูŠ
1760
+
1761
+ 441
1762
+ 00:42:54,150 --> 00:42:59,050
1763
+ ู…ู…ุชุงุฒุฉ ุฅุฐุง ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง q1 ุนู† ุงู„ smallest ุฃูƒุจุฑ
1764
+
1765
+ 442
1766
+ 00:42:59,050 --> 00:43:03,830
1767
+ ู…ู† ุงู„ largest minus q3 ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„ lift skewed
1768
+
1769
+ 443
1770
+ 00:43:03,830 --> 00:43:05,430
1771
+ ุจุชุนู…ู„ ููŠ ุงู„ู†ุต
1772
+
1773
+ 444
1774
+ 00:43:11,560 --> 00:43:15,620
1775
+ Q1 ู…ู…ุชุงุฒ ุฅุฐุง ู‡ุฏูˆู„ ุงู„ relationships among the five
1776
+
1777
+ 445
1778
+ 00:43:15,620 --> 00:43:19,320
1779
+ numbers similar for symmetric and left ุชู…ุช ูˆุงุญุฏุฉ
1780
+
1781
+ 446
1782
+ 00:43:19,320 --> 00:43:23,520
1783
+ ุงู„ right ูŠุนู†ูŠ ููŠ ุงู„ู…ุชุญุงู„ุฉ ุงู„ู„ูŠ ู‚ู„ุชู„ูƒ ูŠูˆู… multiple
1784
+
1785
+ 447
1786
+ 00:43:23,520 --> 00:43:29,700
1787
+ choice ุตุนุจ ุชุญูุธูŠู‡ู… ุฃุฑุณู… ุงู„ุฑุณู… ุตุญ ุจุณ ุฎู„ู‘ูŠ ุจุงูƒ ุฏุงูŠู…ุง
1788
+
1789
+ 448
1790
+ 00:43:29,700 --> 00:43:32,880
1791
+ ุงู„ู…ุณุงูุฉ ุจุชูƒูˆู† ู…ู† ุงู„ูƒุจูŠุฑ ู„ู„ุตุบูŠุฑ ู…ุด ุงู„ุนูƒุณ ูŠุนู†ูŠ ุฃุญูƒูŠ
1792
+
1793
+ 449
1794
+ 00:43:32,880 --> 00:43:38,030
1795
+ largest ู†ุงู‚ุต Q3 ู…ุงุญูƒูŠุด Q3 minus largestูˆุงุถุญุŸ ู„ูƒุจูŠุฑ
1796
+
1797
+ 450
1798
+ 00:43:38,030 --> 00:43:43,530
1799
+ ู†ู‚ุต ุตุญูŠุญ ู‡ูŠ ู‡ุชุนู…ู„ ุฃุฎุฑ ูˆุงุญุฏุฉ ุงูƒุชุจ ุนู„ูŠู‡ุง ุชู„ุงุชุฉ ุจุณ
1800
+
1801
+ 451
1802
+ 00:43:43,530 --> 00:43:48,690
1803
+ ุงูƒุชุจ ุนู„ูŠู‡ุง ุชู„ุงุชุฉ ุงู„ right square ู‡ุชุงุฎุฏ ุงู„ุทุฑู
1804
+
1805
+ 452
1806
+ 00:43:48,690 --> 00:43:53,630
1807
+ ุงู„ุฃุทูˆู„ ู‡ูˆ ุงู„ุฃูŠู…ู† ู‡ุชุฒุบุฑ ุงู„ุดู…ุงู„ ุงู„ู…ูุฑูˆุถ ูˆ ุชูƒุจุฑ ุฅู„ู‰
1808
+
1809
+ 453
1810
+ 00:43:53,630 --> 00:43:58,570
1811
+ ุฃุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ูŠู…ูŠู† ุงู„ุญู‚ูŠู‚ูŠ ู…ุด ุทูˆูŠู„ ูˆ ุงู„ Q2 ุฎู„ูŠู‡
1812
+
1813
+ 454
1814
+ 00:43:58,570 --> 00:44:06,370
1815
+ ู‡ู†ุง ุฌุงูŠ ูˆ ุฏู‡ ุทูˆู„ ุชุงุฎุฏู‡ ูƒุฏู‡ ุดูˆูŠุฉ ู„ุญุธุฉ ุทูˆู„ุช ุงู„ุฃูŠู…ู†ูˆ
1816
+
1817
+ 455
1818
+ 00:44:06,370 --> 00:44:28,930
1819
+ ุจุนุฏู‡ุง ุชุนู†ูŠ Q2 ุตุงุฑ ุงู„ุทุฑู ุงู„ุฃูŠู…ู† ู‡ูˆ ุงู„ุฃุทูˆู„ ุฎู„ูŠู†ุง
1820
+
1821
+ 456
1822
+ 00:44:28,930 --> 00:44:29,570
1823
+ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1824
+
1825
+ 457
1826
+ 00:44:36,360 --> 00:44:42,100
1827
+ ุฒู…ูŠู„ุชูƒ ูˆูŠุง ุจุชุดุฑุญูƒ ุงู†ุช ุจุณู„ุงู…ุชูƒ ุชู‡ุฏูŠ ูˆ ุชุณูƒุช ุนุดุงู†
1828
+
1829
+ 458
1830
+ 00:44:42,100 --> 00:44:52,080
1831
+ ุชุณู…ุน ุตูˆุชู‡ุง ุฃุฎุฏุช
1832
+
1833
+ 459
1834
+ 00:44:52,080 --> 00:44:58,420
1835
+ ู„ู„ุทุฑู x largest minus q3 is greater than q1 minus
1836
+
1837
+ 460
1838
+ 00:44:58,420 --> 00:45:00,260
1839
+ x smallest ู‡ุฐุง ุจุงู„ูˆุญุฏุฉ
1840
+
1841
+ 461
1842
+ 00:45:12,970 --> 00:45:19,890
1843
+ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุงู„ู…ุณุงูุฉ ุจูŠู† Q3-Q2 ุฃูƒุชุฑ ู…ู† Q2-Q1
1844
+
1845
+ 462
1846
+ 00:45:33,510 --> 00:45:40,390
1847
+ ุฃุฎุฑ ูˆุงุญุฏุฉ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู†
1848
+
1849
+ 463
1850
+ 00:45:40,390 --> 00:45:40,570
1851
+ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1852
+
1853
+ 464
1854
+ 00:45:40,570 --> 00:45:40,970
1855
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ
1856
+
1857
+ 465
1858
+ 00:45:40,970 --> 00:45:42,130
1859
+ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1860
+
1861
+ 466
1862
+ 00:45:42,130 --> 00:45:46,130
1863
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1864
+
1865
+ 467
1866
+ 00:45:46,130 --> 00:45:51,590
1867
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1868
+
1869
+ 468
1870
+ 00:45:51,590 --> 00:45:51,770
1871
+ ุฃูƒ
1872
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/1kM7TMpfKfw_raw.json ADDED
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PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/2ARSwG-nNMs.srt ADDED
@@ -0,0 +1,1416 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,940 --> 00:00:25,780
3
+ ุฅุฐุง ุงู„ุดุฑูƒุฉ ุชุฑุบุจ ููŠ ุงุฎุชุจุงุฑ ู‡ุฐู‡ ุงู„ูุฑุถูŠุฉ ูˆููŠู‡ุง
4
+
5
+ 2
6
+ 00:00:25,780 --> 00:00:31,040
7
+ ุงุนุชุจุงุฑ ุฃู† ุงู„ู…ุดุงุฑูƒุฉ ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู… ูุจุงู„ุชุงู„ูŠ
8
+
9
+ 3
10
+ 00:00:31,040 --> 00:00:37,080
11
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุชุฌุงุฑุฉ ุงู„ู€ T ู„ุฃู† ุงู„ูุฑุถูŠุฉ ู‡ูŠ ุฃู‚ู„ ู…ู†
12
+
13
+ 4
14
+ 00:00:37,080 --> 00:00:42,460
15
+ 52 ุจูŠุฑู…ุงู† ู‡ุฐุง ู…ุง ู†ุฑูŠุฏู‡ ุฃู† ู†ูุนู„ ุทุจุนุงู‹ ุงู„ูุฑุถูŠุฉ
16
+
17
+ 5
18
+ 00:00:42,460 --> 00:00:45,100
19
+ ู…ูƒุชูˆุจุฉ 152 ุฃูˆ ุฃู‚ู„ ู…ู† 152
20
+
21
+ 6
22
+ 00:00:48,850 --> 00:00:52,790
23
+ ุงู„ุขู† ุจุญูƒูŠ suppose alpha is 10% ูŠุนู†ูŠ ุงู„ู€ alpha is given
24
+
25
+ 7
26
+ 00:00:52,790 --> 00:01:02,070
27
+ to be 10% ูˆ ุงู„ู€ sample size 25 ูŠุนู†ูŠ ุฃุชุงู†ูŠ ุงู„ู€ sample
28
+
29
+ 8
30
+ 00:01:02,070 --> 00:01:06,510
31
+ size 25 ุจู†ุฏู‚ู†ุง ู†ุญู„ ุงู„ุณุคุงู„ ูˆู†ุทู„ุน ุงู„ู€ rejection
32
+
33
+ 9
34
+ 00:01:06,510 --> 00:01:12,630
35
+ region ู‡ุฐุง ุจุญูƒูŠ ุนู„ู‰ one tailed test ุชุจุชุฏุฆ
36
+
37
+ 10
38
+ 00:01:12,630 --> 00:01:15,650
39
+ ุงู„ูƒู„ุงู… ุนู„ู‰ ุงู„ู€ upper tail ูู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ู‡ู†ุง ู„ุงุฒู…
40
+
41
+ 11
42
+ 00:01:15,650 --> 00:01:20,310
43
+ ุฃุทู„ุนู‡ุง ู…ู† ุฃูŠู†ุŸ ู…ู† ุงู„ู€ table ูู‡ุฐู‡ ุงู„ู€ critical value
44
+
45
+ 12
46
+ 00:01:20,310 --> 00:01:29,530
47
+ ุฃุณู…ูŠู‡ุง T D F ูˆ ุงู„ู€ Alpha ู‡ูŠูƒ ุชูƒุชุจ ุทุจุนุงู‹
48
+
49
+ 13
50
+ 00:01:29,530 --> 00:01:36,010
51
+ degrees of freedom N equals 25 ุจุงู„ุชุงู„ูŠ ุงู„ู€ minus
52
+
53
+ 14
54
+ 00:01:36,010 --> 00:01:48,850
55
+ one it gives 24 24 ูˆ 10% ูุจูุชุญ ุฌุฏูˆู„ ุงู„ู€ T-test ุจู†ุนู…ู„
56
+
57
+ 15
58
+ 00:01:48,850 --> 00:02:07,610
59
+ ู„ู€ 24 degrees of freedom
60
+
61
+ 16
62
+ 00:02:07,610 --> 00:02:13,490
63
+ ู„ุฃู†ู‡ุง 24 ูˆ under 10%
64
+
65
+ 17
66
+ 00:02:13,490 --> 00:02:16,210
67
+
68
+ 18
69
+ 00:02:20,300 --> 00:02:29,840
70
+ ูุงู„ู€ critical value 1.318 ุซู… ู†ู‚ูˆู„ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ test statistic ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุญุฑุฌุฉ
71
+
72
+ 19
73
+ 00:02:29,840 --> 00:02:33,820
74
+ ุงู„ุชูŠ ุฃูƒุจุฑ ู…ู† 1.
75
+
76
+ 20
77
+ 00:02:33,820 --> 00:02:39,460
78
+ 318 ูู†ู‚ูˆู„ ุฅุฐุง
79
+
80
+ 21
81
+ 00:02:39,460 --> 00:02:44,720
82
+ ูƒุงู†ุช ุงู„ู€ test statistic ุฃูƒุจุฑ ู…ู† 1.318 ู„ู…ุงุฐุง ุฃูƒุจุฑ ู…ู†ุŸ ู„ุฃู†ู†ุง
83
+
84
+ 22
85
+ 00:02:44,720 --> 00:02:52,800
86
+ ู†ุฌุฑุจ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
87
+
88
+ 23
89
+ 00:02:52,800 --> 00:02:55,980
90
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
91
+
92
+ 24
93
+ 00:02:55,980 --> 00:02:57,160
94
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
95
+
96
+ 25
97
+ 00:02:57,160 --> 00:03:00,320
98
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
99
+
100
+ 26
101
+ 00:03:00,320 --> 00:03:04,700
102
+ ู…ู† ุฃูƒุจุฑ
103
+
104
+ 27
105
+ 00:03:04,700 --> 00:03:05,960
106
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
107
+
108
+ 28
109
+ 00:03:05,960 --> 00:03:07,680
110
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
111
+
112
+ 29
113
+ 00:03:07,680 --> 00:03:08,460
114
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
115
+
116
+ 30
117
+ 00:03:08,460 --> 00:03:14,320
118
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฅุฐุง ูƒุงู†ุช ุงู„ู€ test statistic ุฃูƒุจุฑ ู…ู† 1.318.
119
+
120
+ 31
121
+ 00:03:14,640 --> 00:03:17,920
122
+ ุงู„ุขู† ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจู…ู‚ุงุฑู†ุฉ ู‚ูŠู…ุฉ ุงู„ูุฑุถูŠุฉ.
123
+
124
+ 32
125
+ 00:03:18,920 --> 00:03:22,440
126
+ ู„ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠุฌุจ ุฃู† ู†ุญุตู„ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ ูˆู†ู‚ูˆู…
127
+
128
+ 33
129
+ 00:03:22,440 --> 00:03:30,660
130
+ ุจู…ู‚ุงุฑู†ุฉ ู‚ูŠู…ุฉ X ูˆู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู…ู‚ุงุฑู†ุฉ
131
+
132
+ 34
133
+ 00:03:30,660 --> 00:03:31,680
134
+ X.ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X
135
+
136
+ 35
137
+ 00:03:31,680 --> 00:03:39,440
138
+ .ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X
139
+
140
+ 36
141
+ 00:03:39,440 --> 00:03:39,640
142
+ .ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X
143
+
144
+ 37
145
+ 00:03:39,640 --> 00:03:41,510
146
+ .ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ู‚ูŠู…ุฉ X. ุฅุฐุง ู‡ุฐู‡
147
+
148
+ 38
149
+ 00:03:41,510 --> 00:03:45,510
150
+ ุงู„ู€ X bar ูˆ ุงู„ู€ S are given both for the sample
151
+
152
+ 39
153
+ 00:03:45,510 --> 00:03:50,710
154
+ Now it's easy to compute the test statistic by
155
+
156
+ 40
157
+ 00:03:50,710 --> 00:03:56,670
158
+ using the formula we know X bar minus mu
159
+
160
+ 41
161
+ 00:03:56,670 --> 00:04:02,710
162
+ over S over root N So X bar minus the mean S over
163
+
164
+ 42
165
+ 00:04:02,710 --> 00:04:05,950
166
+ square root of N Now straightforward calculations
167
+
168
+ 43
169
+ 00:04:05,950 --> 00:04:14,270
170
+ you can get the result of X bar 53 ุงู„ุขู† ฮผ
171
+
172
+ 44
173
+ 00:04:14,270 --> 00:04:25,690
174
+ ุฃูƒุซุฑ ู…ู† 52 ฯƒ ู‡ูˆ 10 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n
175
+
176
+ 45
177
+ 00:04:25,690 --> 00:04:27,390
178
+ ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n
179
+
180
+ 46
181
+ 00:04:27,390 --> 00:04:27,590
182
+ ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n
183
+
184
+ 47
185
+ 00:04:27,590 --> 00:04:28,710
186
+ ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n
187
+
188
+ 48
189
+ 00:04:28,710 --> 00:04:28,750
190
+ ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n
191
+
192
+ 49
193
+ 00:04:28,750 --> 00:04:30,190
194
+ ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n
195
+
196
+ 50
197
+ 00:04:30,190 --> 00:04:38,950
198
+ ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25 n ุนู…ุฑู‡ 25
199
+
200
+ 51
201
+ 00:04:40,020 --> 00:04:46,260
202
+ ุงู„ุขู† ูŠุฌุจ ุฃู† ุชู‚ุงุฑู† ู‚ูŠู…ุฉ ุงู„ู€ T ู…ุน ุงู„ู…ู†ุทู‚ุฉ
203
+
204
+ 52
205
+ 00:04:46,260 --> 00:04:52,000
206
+ ุงู„ุญุฑุฌุฉ ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ
207
+
208
+ 53
209
+ 00:04:52,000 --> 00:04:55,400
210
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุญุฑุฌุฉุŸ
211
+
212
+ 54
213
+ 00:04:55,400 --> 00:05:03,080
214
+ ูˆุงุถุญ ุฃู† ุงู„ู€ 0.55 ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุญุฑุฌุฉ ุจุงู„ู†ุณุจุฉ
215
+
216
+ 55
217
+ 00:05:03,080 --> 00:05:07,240
218
+ ู„ู‡ุฐุง ุงู„ุณุจุจุŒ ู„ุง ู†ู‚ุจู„ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ุฅุฐุง ู„ู… ุฃุฑูุถู‡ุง
219
+
220
+ 56
221
+ 00:05:07,240 --> 00:05:11,520
222
+ ู‡ุฐุง ู…ุนู†ุงู‡ ู…ุงุฐุงุŸ ุงู„ู€ Managerial ConclusionุŒ ู„ุง ูŠูˆุฌุฏ
223
+
224
+ 57
225
+ 00:05:11,520 --> 00:05:16,880
226
+ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุธู‡ุงุฑ ุฃู† ู…ู‚ุงู„ ุงู„ู€ True Mean ู‡ูˆ ุฃูƒุซุฑ
227
+
228
+ 58
229
+ 00:05:16,880 --> 00:05:17,380
230
+ ู…ู† 52
231
+
232
+ 59
233
+ 00:05:24,570 --> 00:05:28,010
234
+ ููŠ ุณุคุงู„ ูˆุงุถุญ ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ุง ุงู…ุจุงุฑุญ ู„ูƒู†
235
+
236
+ 60
237
+ 00:05:28,010 --> 00:05:31,970
238
+ ุงู„ุงุฎุชู„ุงู ุจุณ ุจุฏู„ ู…ุง ูƒุงู†ุช two-tailed ุงู„ุขู† ูƒุงู†ุช one
239
+
240
+ 61
241
+ 00:05:31,970 --> 00:05:35,990
242
+ -tailed the other side on the other hand we can
243
+
244
+ 62
245
+ 00:05:35,990 --> 00:05:40,750
246
+ compute the p-value because we mentioned yesterday
247
+
248
+ 63
249
+ 00:05:40,750 --> 00:05:44,110
250
+ there are two ways or two approaches for
251
+
252
+ 64
253
+ 00:05:44,110 --> 00:05:47,730
254
+ conducting the test one is called a critical value
255
+
256
+ 65
257
+ 00:05:47,730 --> 00:05:50,590
258
+ approach this is a critical value and the other
259
+
260
+ 66
261
+ 00:05:50,590 --> 00:05:55,780
262
+ one is called p-value approach ุจุงู„ูุฑุถ T-table ุชุนุทูŠ
263
+
264
+ 67
265
+ 00:05:55,780 --> 00:06:03,440
266
+ ู†ุชูŠุฌุฉ ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
267
+
268
+ 68
269
+ 00:06:03,440 --> 00:06:05,520
270
+ ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
271
+
272
+ 69
273
+ 00:06:05,520 --> 00:06:10,300
274
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
275
+
276
+ 70
277
+ 00:06:10,300 --> 00:06:10,840
278
+ ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
279
+
280
+ 71
281
+ 00:06:10,840 --> 00:06:13,400
282
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
283
+
284
+ 72
285
+ 00:06:13,400 --> 00:06:17,000
286
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
287
+
288
+ 73
289
+ 00:06:17,000 --> 00:06:18,000
290
+ ุชู‚ุฑูŠุจูŠุฉ ู„ู„ุชุฌุงุฑุจ ุจ
291
+
292
+ 74
293
+ 00:06:23,400 --> 00:06:27,840
294
+ Probability of T greater than ... ุงู„ุนู†ูˆุงู† ู‡ู†ุง ู‡ูˆ
295
+
296
+ 75
297
+ 00:06:27,840 --> 00:06:34,300
298
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
299
+
300
+ 76
301
+ 00:06:34,300 --> 00:06:36,280
302
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
303
+
304
+ 77
305
+ 00:06:36,280 --> 00:06:39,640
306
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
307
+
308
+ 78
309
+ 00:06:39,640 --> 00:06:40,860
310
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
311
+
312
+ 79
313
+ 00:06:40,860 --> 00:06:41,700
314
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
315
+
316
+ 80
317
+ 00:06:41,700 --> 00:06:44,640
318
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
319
+
320
+ 81
321
+ 00:06:44,640 --> 00:06:49,220
322
+ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ู‚ูŠู… ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠ
323
+
324
+ 82
325
+ 00:06:50,380 --> 00:06:56,180
326
+ ูุจุฃุฎุฐ ุนู†ุฏ ุงู„ู€ 0.55 ู‡ุฐู‡ ู…ู‡ู…ุฉ ุฌุฏุงู‹ ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู†
327
+
328
+ 83
329
+ 00:06:56,180 --> 00:06:58,520
330
+ ุงู„ู€ 0.55 ู…ุด ุฃูƒุจุฑ ู…ู† ุงู„ู€ 1.31
331
+
332
+ 84
333
+ 00:06:58,520 --> 00:07:01,860
334
+ 8 ู…ุด ุนู„ุงู‚ุฉ ุจู‡ุฐู‡ ูŠุนู†ูŠ ุจุดูˆู ุงูŠุด ุงุญุชู…ุงู„ ุชูƒูˆู† ุงู„ู€
335
+
336
+ 85
337
+ 00:07:01,860 --> 00:07:04,640
338
+ test statistic ุฃูƒุจุฑ ู…ู† ุงู„ู€ test value ุงู„ู„ูŠ ู‡ูˆ 0.
339
+
340
+ 86
341
+ 00:07:04,640 --> 00:07:09,500
342
+ 55 now in this case just backward
343
+
344
+ 87
345
+ 00:07:09,500 --> 00:07:13,500
346
+ calculation this is my t table again we have to
347
+
348
+ 88
349
+ 00:07:13,500 --> 00:07:18,600
350
+ look at degrees of freedom 24 and search
351
+
352
+ 89
353
+ 00:07:19,520 --> 00:07:24,540
354
+ for the value of 0.55 ุฃุฏูˆุฑ ุนู„ู‰ ุงู„ู‚ูŠู…ุฉ 0.55 ู…ู†
355
+
356
+ 90
357
+ 00:07:24,540 --> 00:07:28,900
358
+ ู‡ู†ุง for sure the table will not give all values so
359
+
360
+ 91
361
+ 00:07:28,900 --> 00:07:34,440
362
+ we are looking for the closest value of 0.55
363
+
364
+ 92
365
+ 00:07:34,440 --> 00:07:38,860
366
+ ูŠุนู†ูŠ ุจุฏูˆุฑ ุนู„ุดุงู† ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ุจู…ุดูŠ ุนู„ู‰ ุงู„ู€ 24 ููŠ ุนู†ุฏ 0.
367
+
368
+ 93
369
+ 00:07:38,860 --> 00:07:46,570
370
+ 685 ุจุนุฏูŠู† ุจุฒูŠุฏ ู…ุธุจูˆุท ู…ุน ูƒุฏู‡ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู…ู† ู‡ุชูƒูˆู† ู‡ูŠ
371
+
372
+ 94
373
+ 00:07:46,570 --> 00:07:49,670
374
+ ู‡ุฐู‡ ูˆุงุถุญุฉ ุฅุฐุง ู…ุง ููŠุด ุนู†ุฏูŠ ุญุงุฌุฉ ุงุณู…ู‡ุง 0.5
375
+
376
+ 95
377
+ 00:07:49,670 --> 00:07:54,170
378
+ 5 ุจุฃุฎุฐ ู…ุงุฐุงุŸ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู‡ุง 0.685
379
+
380
+ 96
381
+ 00:07:54,170 --> 00:07:58,010
382
+ ุฅุฐุง ู…ุงู„ูƒ ุฏู‡ ุงู„ุฌูˆุงุจ ู‡ุชุทู„ุน ู…ุนุงู‡ ุชู‚ุฑูŠุจุงู‹ ู…ุด exact
383
+
384
+ 97
385
+ 00:07:58,010 --> 00:08:05,490
386
+ result ุงูŠุด ุจุชุณุงูˆูŠุŸ 0.25 ู…ู† ู‡ุฐู‡ุŒ ุฅุฐุง 0.2
387
+
388
+ 98
389
+ 00:08:05,490 --> 00:08:12,190
390
+ 5 ุทุจ ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑูƒ ู‡ูŠ ุฃูƒุจุฑ ู…ู† 0.25
391
+
392
+ 99
393
+ 00:08:12,190 --> 00:08:21,360
394
+ ูˆู„ุง ุฃู‚ู„ุŸ ู„ุญุธุฉ ูˆุฃู†ุง ู…ุงุดูŠ ู‡ูŠูƒ ุงู„ู€ P-value ู…ุงู„ู‡ุง ู‡ูŠูƒ
395
+
396
+ 100
397
+ 00:08:21,360 --> 00:08:25,040
398
+ ู‡ูŠูƒ ุชูƒุจุฑ ... ุชูƒุจุฑ ... 0.25, 0.20, 0.15,
399
+
400
+ 101
401
+ 00:08:25,040 --> 00:08:28,900
402
+ 0.10, ุจุชุตุบุฑ ุทูŠุจ ุฃู†ุง ุฃู‚ูŠู… ุงู„ู„ูŠ ุฃ๏ฟฝ๏ฟฝุง ุนุงูŠุฒู‡ุงุŒ ู…ุงุดูŠ ุนู„ู‰
403
+
404
+ 102
405
+ 00:08:28,900 --> 00:08:32,900
406
+ ุงู„ูŠู…ูŠู† ูˆู„ุง ุฌุงูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ุŸ ุฌุงูŠ ู‡ูŠูƒ ุงู„ู€ 0.55
407
+
408
+ 103
409
+ 00:08:32,900 --> 00:08:40,660
410
+ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ ู…ุน ูƒุฏู‡ ุงู„ู€ P-value ุชุจุนุช ู‡ู†ุง ูŠุนู†ูŠ ุงู„ู€
411
+
412
+ 104
413
+ 00:08:40,660 --> 00:08:43,660
414
+ result ุตุญ ุญูˆุงู„ูŠ ุงู„ู€ 0.25, ุจู‚ูˆู„ูƒ ุฅู†ู‡ุง ู…ุงู„ู‡ุง
415
+
416
+ 105
417
+ 00:08:45,230 --> 00:08:51,630
418
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† 25% either way if you just mention
419
+
420
+ 106
421
+ 00:08:51,630 --> 00:08:55,630
422
+ it's approximately 0.25 or greater than 0.25 you
423
+
424
+ 107
425
+ 00:08:55,630 --> 00:08:58,850
426
+ have to compare this P-value with ฮฑ now ฮฑ
427
+
428
+ 108
429
+ 00:08:58,850 --> 00:09:03,390
430
+ is given to be 10% is your P-value greater than
431
+
432
+ 109
433
+ 00:09:03,390 --> 00:09:11,390
434
+ ฮฑ in other words is 0.25 ููŠ ู…ู‡ุฏูŠ ุฃูƒุจุฑ ู…ู† 0.10
435
+
436
+ 110
437
+ 00:09:14,120 --> 00:09:21,480
438
+ ุจุงู„ู„ู‡ ุนู† ุฌุฏ 25% ุฃูƒุจุฑ ูˆู„ุง ุฃุตุบุฑ ู…ู† 0.10 ู‡ุฏ
439
+
440
+ 111
441
+ 00:09:21,480 --> 00:09:26,180
442
+ ุฃูƒุจุฑ ูˆู„ุง ุฃุตุบุฑุŸ ู‡ุฏ ูƒุฏู‡ ู…ุฑุชูŠู† ูˆู†ุตู ุชู‚ุฑูŠุจุงู‹ ุฃูƒุจุฑ ู…ุธุจูˆุท
443
+
444
+ 112
445
+ 00:09:26,180 --> 00:09:29,380
446
+ ุทุจ ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ we reject ูˆู„ุง don't rejectุŸ don't
447
+
448
+ 113
449
+ 00:09:29,380 --> 00:09:34,740
450
+ reject ู…ุน ูƒุฏู‡ ู…ุง ุทู„ุนุชุด ุจู†ูุณ ุงู„ู€ conclusion ุงู„ุฃูˆู„ ุฅุฐุง
451
+
452
+ 114
453
+ 00:09:34,740 --> 00:09:38,590
454
+ ุงู„ู€ both cases we don't reject on the hypothesis ุฅุฐุง
455
+
456
+ 115
457
+ 00:09:38,590 --> 00:09:43,370
458
+ ุงู„ู€ 0.25 ู‡ูˆ ุฃูƒุซุฑ ู…ู† 10% ู„ุฐู„ูƒ ู„ุง ู†ู‚ุจู„ ุฃูŠุถุงู‹ ุงู„ู€ null
459
+
460
+ 116
461
+ 00:09:43,370 --> 00:09:48,850
462
+ hypothesis ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุฏุงุฑุฉ
463
+
464
+ 117
465
+ 00:09:48,850 --> 00:09:52,630
466
+ ุงู„ู€ alternative hypothesis ุงู„ุชูŠ ุชุดูŠุฑ ุฅู„ู‰ ุฃู† ุงู„ุนู…ูŠู„
467
+
468
+ 118
469
+ 00:09:52,630 --> 00:10:00,670
470
+ ุงู„ู…ุณุชู‚ุจู„ูŠ ุฃูƒุซุฑ ู…ู† ุฃูˆ ุฃูƒุซุฑ ู…ู† 52$ ุทุจุนุงู‹
471
+
472
+ 119
473
+ 00:10:00,670 --> 00:10:05,310
474
+ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ุงู„ุชูŠ ุฃุนุทุงู†ูŠ ุฅูŠุงู‡ุง ุงู„ูƒุชุงุจ ู‡ู†ุง ู‡ูˆ 0.2937 ู‡ุฐุง
475
+
476
+ 120
477
+ 00:10:05,310 --> 00:10:10,320
478
+ ู‡ูˆ ุงู„ู†ุชูŠุฌุฉ ุงู„ุตุญูŠุญุฉ ุทุจุนุงู‹ ุงุญู†ุง ุทู„ุนู†ุง 0.25 ูˆุญูƒูŠู†ุง
479
+
480
+ 121
481
+ 00:10:10,320 --> 00:10:14,160
482
+ ุฃูƒุจุฑ ู…ู† ุงู„ู€ 0.25 ูุญู„ูŠู†ุง ุชู‚ุฑูŠุจุงู‹ ุญุงู„ู†ุง ู…ุงุดูŠุฉ ุนู„ู‰ ู†ูุณ
483
+
484
+ 122
485
+ 00:10:14,160 --> 00:10:21,300
486
+ ุงู„ูˆุซูŠู‚ุฉ ู‡ุฐุง ูƒุงู† ุจุงู„ู†ุณุจุฉ ู„ู„ุฌุฒุก ุงู„ู„ูŠ ุชุจู‚ู‰ ุงู…ุจุงุฑุญ ููŠ
487
+
488
+ 123
489
+ 00:10:21,300 --> 00:10:27,300
490
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู…ูˆุถูˆุน ุงู„ูŠูˆู…ุŒ ู…ูˆุถูˆุน ุงู„ูŠูˆู… ู‡ูŠุญูƒูŠ ุนู„ู‰
491
+
492
+ 124
493
+ 00:10:27,300 --> 00:10:31,580
494
+ ู…ูˆุถูˆุน ู…ู‡ู… ุงู„ู„ูŠ ู‡ูˆ hypothesis test for proportions
495
+
496
+ 125
497
+ 00:10:34,990 --> 00:10:39,710
498
+ ุฎู„ุงุต ู‡ุจุฏุฃ ู…ูˆุถูˆุน ุฌุฏูŠุฏ I put this test for in
499
+
500
+ 126
501
+ 00:10:39,710 --> 00:10:43,410
502
+ proportions ู‡ุนุทูŠูƒูŠ ููƒุฑุฉ ุนู„ู‰ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ูุงุช
503
+
504
+ 127
505
+ 00:10:43,410 --> 00:10:47,830
506
+ ูˆู…ูˆุถูˆุน ุงู„ูŠูˆู… ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ูƒุงู†ุช ู†ุณุชุฎุฏู… ูƒู„ุงู…
507
+
508
+ 128
509
+ 00:10:47,830 --> 00:10:53,630
510
+ ุนู„ู‰ numerical values ุฒูŠ phone bills ุฒูŠ ุงู„ู€ wages ุฒูŠ
511
+
512
+ 129
513
+ 00:10:53,630 --> 00:10:59,970
514
+ ุงู„ู€ ages ุฒูŠ ุงู„ู€ weights and so on so we focus on
515
+
516
+ 130
517
+ 00:10:59,970 --> 00:11:03,260
518
+ population means ู„ุฐุง ุชูƒู„ู…ู†ุง ุนู„ู‰ ุงู„ู€ population mean
519
+
520
+ 131
521
+ 00:11:03,260 --> 00:11:07,680
522
+ ูˆูƒู†ุง ุจู†ุญูƒูŠ ุนู„ูŠู‡ ุนู„ู‰ data numeric ู…ุชุบูŠุฑุงุช ุฑู‚ู…ูŠุฉ
523
+
524
+ 132
525
+ 00:11:07,680 --> 00:11:13,560
526
+ ุงู„ู†ูˆุน ุงู„ุซุงู†ูŠ ู…ู† ุงู„ู€ data ุงู„ู„ูŠ ู‡ูŠ ุจู†ุช ู…ุด ุฑู‚ู…ูŠุฉ ู…ุณู…ู‰
527
+
528
+ 133
529
+ 00:11:13,560 --> 00:11:17,020
530
+ qualitative data ูุงู„ู€ qualitative ู…ุง ูŠู†ูุนุด ู†ุณุชุฎุฏู… ุงู„ู€
531
+
532
+ 134
533
+ 00:11:17,020 --> 00:11:21,180
534
+ mean ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ููŠ chapter 7 ุฃุฎุฏู†ุง sampling
535
+
536
+ 135
537
+ 00:11:21,180 --> 00:11:24,620
538
+ distribution ู„ู„ู€ mean ูˆ sampling distribution ู„ู„ู€
539
+
540
+ 136
541
+ 00:11:24,620 --> 00:11:29,900
542
+ mean ุฃุฎุฏู†ุง ุดุบู„ุชูŠู† sampling ู„ู„ู€ mean ูˆ ุงู„ู€ mean
543
+
544
+ 137
545
+ 00:11:29,900 --> 00:11:30,340
546
+ ุงู„ุซุงู†ูŠุฉ
547
+
548
+ 138
549
+ 00:11:35,000 --> 00:11:37,400
550
+ ุฃุฎุฐู†ุง ุงู„ู€ Sampling Distribution of the Sample Mean
551
+
552
+ 139
553
+ 00:11:37,400 --> 00:11:41,500
554
+ ูˆ ู„ู„ู€ Proportion ุจุฑุถู‡ ู„ุฃู† ู†ูุณ ุงู„ุฌุฒุก ุณู†ุงุฎุฏ ุงู„ู€
555
+
556
+ 140
557
+ 00:11:41,500 --> 00:11:46,280
558
+ Hypothesis Test for Proportions ุฅุฐุง ู‡ุฐุง ุงู„ุฌุฒุก
559
+
560
+ 141
561
+ 00:11:46,280 --> 00:11:48,860
562
+ ุงู„ุซุงู†ูŠ ู„ู†ุฎุชู…ู‡ ุจู€ Chapter 9
563
+
564
+ 142
565
+ 00:12:19,140 --> 00:12:21,620
566
+ ุจุณ ู‡ุชุดูˆู ุงู„ู†ุชูŠุฌุฉ ู…ู† ุนู†ุฏ ุงุจุญุซ ุนู†ู‡ุง
567
+
568
+ 143
569
+ 00:12:47,410 --> 00:12:55,310
570
+ ุณู†ู‚ูˆู… ุจุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช
571
+
572
+ 144
573
+ 00:12:55,310 --> 00:13:01,630
574
+ ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช
575
+
576
+ 145
577
+ 00:13:01,630 --> 00:13:04,830
578
+ ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช
579
+
580
+ 146
581
+ 00:13:04,830 --> 00:13:05,430
582
+ ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช
583
+
584
+ 147
585
+ 00:13:05,430 --> 00:13:06,300
586
+ ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช ุงู„ูุฑุถูŠุงุช ู„ุงุฎุชุจุงุฑุงุช
587
+
588
+ 148
589
+ 00:13:06,300 --> 00:13:11,080
590
+ ู„ู„ุณู…ุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ ูˆุงู„ุขุฎุฑ ู„ุณู…ุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ
591
+
592
+ 149
593
+ 00:13:11,080 --> 00:13:17,680
594
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ูŠุฌุจ ุฃู† ุชู‚ุฑุฑ ุจูŠู† ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ูˆุงุฎุชุจุงุฑุงุช
595
+
596
+ 150
597
+ 00:13:17,680 --> 00:13:18,200
598
+ ุงู„ุงุฎุชุจุงุฑุงุช ูˆุงู„ุงุฎุชุจุงุฑุงุช ูˆุงู„ุงุฎุชุจุงุฑุงุช ูˆุงู„ุงุฎุชุจุงุฑุงุช
599
+
600
+ 151
601
+ 00:13:18,200 --> 00:13:18,440
602
+ ูˆุงู„ุงุฎุชุจุงุฑุงุช ูˆุงู„ุงุฎุชุจุงุฑุงุช ูˆุงู„ุงุฎุชุจุงุฑุงุช
603
+
604
+ 152
605
+ 00:13:18,440 --> 00:13:33,500
606
+ ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ุงุฎุชุจุงุฑุงุช
607
+
608
+ 153
609
+ 00:13:34,820 --> 00:13:37,520
610
+ ู„ู„ุนูŠู†ุงุช ู„ู„ู€ statistics ุฒูŠ ุงู„ู€ sample mean ุฃูˆ ุงู„ู€
611
+
612
+ 154
613
+ 00:13:37,520 --> 00:13:41,340
614
+ sample proportion ู„ูƒู† ู„ู…ุง ู†ุชูƒู„ู… ุนู† ุงู„ู€ testing ุฃูˆ
615
+
616
+ 155
617
+ 00:13:41,340 --> 00:13:44,820
618
+ hypothesis testing ุจุชูƒูˆู† is about ุงู„ู€ population
619
+
620
+ 156
621
+ 00:13:44,820 --> 00:13:47,980
622
+ parameter ูˆุงุถุญุŸ ูุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุซู†ูŠู† ุงู„ู€ sampling
623
+
624
+ 157
625
+ 00:13:47,980 --> 00:13:51,320
626
+ distribution ุจุชุชูƒู„ู… ุนู„ู‰ ุงู„ู€ sample statistic ู‡ู†ุง
627
+
628
+ 158
629
+ 00:13:51,320 --> 00:13:54,160
630
+ ุจุชุชูƒู„ู… ุนู† ุงู„ู€ population parameters ู‡ุฐู‡ ุงู„ูุฑู‚ ุจูŠู†
631
+
632
+ 159
633
+ 00:13:54,160 --> 00:13:59,630
634
+ ุงู„ุงุซู†ูŠู† ุงู„ู€ ... ุงู„ู€ proportion ู…ุน ูƒุฏู‡ these problems
635
+
636
+ 160
637
+ 00:13:59,630 --> 00:14:03,210
638
+ involve categorical variables ูŠูƒูˆู† ุนู†ุฏูŠ ุงู„ู…ุชุบูŠุฑุงุช
639
+
640
+ 161
641
+ 00:14:03,210 --> 00:14:07,550
642
+ ุบูŠุฑ ูƒู…ูŠุฉ ู†ูˆุนูŠุฉ in this case there are two possible
643
+
644
+ 162
645
+ 00:14:07,550 --> 00:14:12,870
646
+ outcomes ููŠ ุนู†ุฏูŠ ู†ุชูŠุฌุชูŠู† possess characteristic
647
+
648
+ 163
649
+ 00:14:12,870 --> 00:14:17,170
650
+ of interest or does not possess characteristic of
651
+
652
+ 164
653
+ 00:14:17,170 --> 00:14:22,720
654
+ interest for example suppose ุฃุณุฃู„ ุณุคุงู„ ู‡ู„ ุชูุถู„ ู‡ุฐุง
655
+
656
+ 165
657
+ 00:14:22,720 --> 00:14:28,420
658
+ ุงู„ู†ูˆุน ู…ู† ุงู„ู‚ู‡ูˆุฉุŸ ูุงู„ุฌูˆุงุจ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุฅู…ุง ู†ุนู… ุฃูˆ
659
+
660
+ 166
661
+ 00:14:28,420 --> 00:14:36,820
662
+ ู„ุงุŒ ูู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุฅู…ุง ู†ุนู… ุฃูˆ ู„ุง. ู†ุฌุงุญ ุฃูˆ ุฎุณุงุฑุฉุŸ
663
+
664
+ 167
665
+ 00:14:36,820 --> 00:14:40,840
666
+ ุงุชูู‚ ุฃูˆ ู„ุง ุฃุชููู‚ุŸ ู‡ุฐุง ุงู„ู†ูˆุน ู…ู† ุงู„ุณุคุงู„ูŠู† ูŠุนู†ูŠ ุฃู†
667
+
668
+ 168
669
+ 00:14:40,840 --> 00:14:46,260
670
+ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุฃูˆ ู„ุง ุฃุชููู‚ุŸ ู†ุชูŠุฌุชูŠู† ูˆุงุญุฏุฉ ุฃู†ุง ู…ู‡ุชู…
671
+
672
+ 169
673
+ 00:14:46,260 --> 00:14:47,960
674
+ ุจู‡ุง ุงู„ู†ุฌุงุญ
675
+
676
+ 170
677
+ 00:14:50,190 --> 00:14:56,950
678
+ Success or fail the exam fraction or proportion of
679
+
680
+ 171
681
+ 00:14:56,950 --> 00:14:59,490
682
+ the population in the category of interest is
683
+
684
+ 172
685
+ 00:14:59,490 --> 00:15:08,230
686
+ denoted by ฯ€ ู†ุฃุฎุฐ ฯ€ ุงู„ู€ population proportion
687
+
688
+ 173
689
+ 00:15:08,230 --> 00:15:11,490
690
+ ุฒูŠ ู…ุง ุฃุฎุฐู†ุง ููŠ Chapter 7 ฯ€ ูƒุงู†ุช population
691
+
692
+ 174
693
+ 00:15:11,490 --> 00:15:15,110
694
+ proportion ุจุฑุถู‡ ู†ุฃุฎุฐ ฯ€ ุนุจุงุฑุฉ ุนู† population
695
+
696
+ 175
697
+ 00:15:15,110 --> 00:15:20,800
698
+ proportion and in general this ฯ€ ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1
699
+
700
+ 176
701
+ 00:15:20,800 --> 00:15:24,440
702
+ ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1
703
+
704
+ 177
705
+ 00:15:24,440 --> 00:15:27,700
706
+ ู…ู‚ุงุฑู†ุฉ
707
+
708
+ 178
709
+ 00:15:27,700 --> 00:15:30,600
710
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ
711
+
712
+ 216
713
+ 00:18:14,510 --> 00:18:17,970
714
+ ุชุฑูƒุจูŠู‡ู… ู…ุด ุนู„ู‰ ุจุนุถ ุทู„ุน ุงู„ mean ู„ู„ ุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„
715
+
716
+ 217
717
+ 00:18:17,970 --> 00:18:21,790
718
+ ุจุงูŠ ู„ุญุงู„ู‡ุง ูˆุทู„ุน ุงู„ sigma ู„ู„ ุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
719
+
720
+ 218
721
+ 00:18:21,790 --> 00:18:27,470
722
+ ูˆุจุนุฏูŠู† ุฏุฎู„ูŠู‡ู… ููŠ ุจุนุถ ู‡ูŠูƒ ุงู„ุณู„ุงู„ุฉ ุฅุฐุง ู‡ุฐูŠ
723
+
724
+ 219
725
+ 00:18:27,470 --> 00:18:30,690
726
+ statistic ุจูŠ minus ุจุงูŠ over ุจุงูŠ one minus ุจุงูŠ over
727
+
728
+ 220
729
+ 00:18:30,690 --> 00:18:35,030
730
+ n ุงู„ test
731
+
732
+ 221
733
+ 00:18:37,630 --> 00:18:44,350
734
+ ู‡ูŠ 0 ุถุฏ ูƒู„ ูˆุงุญุฏ ู„ูƒูŠ ู†ุญุตู„ ุนู„ู‰ ู†ุชูŠุฌุฉ ุฌูŠุฏุฉ ุฃูˆ ู†ุชูŠุฌุฉ
735
+
736
+ 222
737
+ 00:18:44,350 --> 00:18:48,530
738
+ ุตุญูŠุญุฉ ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง ุงู„ุงุซู†ูŠู† ุงู„ูˆุงุถุญูŠู† ู…ูู‡ูˆู…ูŠู† ู† ููŠ
739
+
740
+ 223
741
+ 00:18:48,530 --> 00:18:53,530
742
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„
743
+
744
+ 224
745
+ 00:18:53,530 --> 00:19:00,270
746
+ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5
747
+
748
+ 225
749
+ 00:19:00,270 --> 00:19:00,390
750
+ ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
751
+
752
+ 226
753
+ 00:19:00,390 --> 00:19:00,830
754
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„
755
+
756
+ 227
757
+ 00:19:00,830 --> 00:19:01,270
758
+ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5
759
+
760
+ 228
761
+ 00:19:01,270 --> 00:19:03,550
762
+ ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
763
+
764
+ 229
765
+ 00:19:03,550 --> 00:19:04,390
766
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
767
+
768
+ 230
769
+ 00:19:07,810 --> 00:19:11,810
770
+ this case is not discussed in this chapter ูŠุนู†ูŠ ู„ูˆ
771
+
772
+ 231
773
+ 00:19:11,810 --> 00:19:15,870
774
+ ูƒุงู† ุงู„ุดุฑุท ูŠุนู†ูŠ ู…ุด ู…ุชุญู‚ู‚ูŠู† ุญุชู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ู…ุด ู‡ูƒู…ู„
775
+
776
+ 232
777
+ 00:19:15,870 --> 00:19:21,230
778
+ ู„ุฃู† ุงู„ุฌุฒุก ู‡ุฐุง ู…ุด ู…ุดุฑูˆุน ููŠ ุงู„ class ุทุจุนุง ุฅุฐุง ุนุดุงู†
779
+
780
+ 233
781
+ 00:19:21,230 --> 00:19:23,690
782
+ ุฃุณุงุณ ุฃู‚ุฏุฑ ู†ุนู…ู„ ุงู„ proceeding ู„ู„ู…ุซู„ุฉ ู„ุงุฒู… ูŠูƒูˆู†
783
+
784
+ 234
785
+ 00:19:23,690 --> 00:19:28,110
786
+ under two conditions ู‡ุฏูˆู„ ู…ุง ู„ู‡ู… satisfied
787
+
788
+ 235
789
+ 00:19:33,570 --> 00:19:38,790
790
+ ุงู„ู€ Z statistic ู…ู…ูƒู† ุงูƒุชุจู‡ ุจุดูƒู„ ุจุฏู„ ู…ูƒุชุจ B ู…ู…ูƒู†
791
+
792
+ 236
793
+ 00:19:38,790 --> 00:19:45,290
794
+ ุงูƒุชุจ X ุจุฏู„ู‡ุง ู…ุทู„ุน ุงู„ X ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ ุงู„ X ุนุจุงุฑุฉ ุนู†
795
+
796
+ 237
797
+ 00:19:45,290 --> 00:19:52,890
798
+ ู…ูŠู†ุŸ N times B ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ุงู„ X ู„ุญุงู„ู‡ุง N times B
799
+
800
+ 238
801
+ 00:19:52,890 --> 00:19:59,010
802
+ ู…ุนุงูƒุฏ ุฃู†ุง ู„ูˆ ุงุฌูŠุช ุถุฑุจุช ูƒู„ ู‡ุฏู N ุจุณุท ู…ู‚ุงู… ุจุทู„ุน
803
+
804
+ 239
805
+ 00:19:59,010 --> 00:20:07,830
806
+ ู…ุนุงุฏูŠ ุงู„ form ู„ุญุงุฌุฉ ุฒูŠ ู‡ูŠ X-NYยฒNY1-Y ู‡ุฐูŠ ูุฑุตุฉ ุฃุฎุฑู‰
807
+
808
+ 240
809
+ 00:20:07,830 --> 00:20:17,890
810
+ ู…ุชุดุงุจู‡ุฉ ู„ู‡ุฐุง ุงู„ู€ Z-score ุงู†ู‡ุง ุชุนุชู…ุฏ ุนู„ู‰ X X-NYยฒNY1
811
+
812
+ 241
813
+ 00:20:17,890 --> 00:20:21,830
814
+ -Y ู‡ุฐู‡ ุงู„ูุฑุตุชูŠู† ู…ุชุดุงุจู‡ุฉ ุจุดูƒู„ ู†ูุณูŠ ู„ุฐุง ูŠู…ูƒู†ูƒ
815
+
816
+ 242
817
+ 00:20:21,830 --> 00:20:28,460
818
+ ุงุณุชุฎุฏุงู… ุงูˆ B-Y ุนุจุฑ ู‡ุฐุง ุงู„ุดุฎุต ู†ุญู† ู†ุญุจ ุงุณุชุฎุฏุงู…ู‡ุฐู‡
819
+
820
+ 243
821
+ 00:20:28,460 --> 00:20:31,300
822
+ ุงู„ููˆุฑู…ูˆู„ุฉ ุฃูˆ ุจุฅู…ูƒุงู†ูƒ ุงุณุชุฎุฏุงู… ุงูƒุณ ู…ุงู†ูˆุณ ุงู† ุจุงูŠ ุนุจุฑ
823
+
824
+ 244
825
+ 00:20:31,300 --> 00:20:35,760
826
+ ุงู† ุจุงูŠ ูˆุงุญุฏ ู…ุงู†ูˆุณ ุจุงูŠ ุงู„ุงุฎุชุตุงุฑุงุช ู‡ู†ุง ุงูƒุณ ุนู„ู‰ ุงู„ุฃู‚ู„
827
+
828
+ 245
829
+ 00:20:35,760 --> 00:20:42,760
830
+ ุฎู…ุณุฉ ูˆุงู† ู…ุงู†ูˆุณ ุงูƒุณ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณุฉ ุงุฐุง ูƒู†ุช ุชู‚ุงุฑู†
831
+
832
+ 246
833
+ 00:20:42,760 --> 00:20:50,880
834
+ ู‡ุฐู‡ ุงู„ุงุฎุชุตุงุฑุงุช ู…ุน ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุฌุฏูŠุฏุฉ ุงู† ุจูŠ ุนุจุงุฑุฉ
835
+
836
+ 247
837
+ 00:20:50,880 --> 00:20:56,360
838
+ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู† ุจูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู† ุจูŠ
839
+
840
+ 248
841
+ 00:20:56,360 --> 00:21:01,300
842
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู†ู† ุจูŠ ูŠุนู†ูŠ ู‡ุฐู‡ ุตุงุฑุช ู† ุจุงูŠ
843
+
844
+ 249
845
+ 00:21:01,300 --> 00:21:06,600
846
+ ุนุจุงุฑุฉ ุนู† ูƒู„ ุนุจุงุฑุฉ ุนู† x ูˆู‡ุฐู‡ ู„ูˆ ุทู„ุนุชู‡ุง ู‡ุฐู‡ n minus
847
+
848
+ 250
849
+ 00:21:06,600 --> 00:21:11,880
850
+ n ุจุงูŠ ู…ุด ุดุงูŠู ุงู„ n times n minus ุจุงูŠ ู‡ูŠ n minus ุงู„
851
+
852
+ 251
853
+ 00:21:11,880 --> 00:21:16,180
854
+ n ุจุงูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ x ู…ู…ูƒู† ุฃุญูƒูŠ ุฅู…ุง x
855
+
856
+ 252
857
+ 00:21:16,180 --> 00:21:20,440
858
+ ุฃูƒุจุฑ ู…ู† ุณุงุนุฉ ุฎู…ุณุฉ and n minus x at least five or
859
+
860
+ 253
861
+ 00:21:20,440 --> 00:21:23,920
862
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ ููŠ ุงู„ุฃูˆู„ n times b ุฃูˆ n times one
863
+
864
+ 254
865
+ 00:21:23,920 --> 00:21:27,740
866
+ minus b ู‡ุฏูˆู„ุฉ two equivalent formulas either you
867
+
868
+ 255
869
+ 00:21:27,740 --> 00:21:33,100
870
+ use X minus N by over square root N by one minus Y
871
+
872
+ 256
873
+ 00:21:33,100 --> 00:21:37,060
874
+ or the previous one which we are familiar with B
875
+
876
+ 257
877
+ 00:21:37,060 --> 00:21:40,620
878
+ minus Y ุนู„ู‰ square root Y one minus Y over N ุฅุฐุง
879
+
880
+ 258
881
+ 00:21:40,620 --> 00:21:46,180
882
+ ุจุณุชุฎุฏู… ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ุฃุชู†ูŠู† ุตุญ ู‡ู†ุงุฎุฏ
883
+
884
+ 259
885
+ 00:21:46,180 --> 00:21:54,000
886
+ example ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ูˆุญุฏ
887
+
888
+ 260
889
+ 00:21:54,000 --> 00:21:54,960
890
+ ูŠุฌู„ุณ ุงู„ู…ุซุงู„
891
+
892
+ 261
893
+ 00:21:57,750 --> 00:22:02,270
894
+ ุฃู…ุงูƒู† ุงู„ู€ company ุจุชุนุฑู ุฃู†ู‡ุง ุชุญุตู„ ุนู„ู‰ 8 ุดุฎุต ูˆ 5
895
+
896
+ 262
897
+ 00:22:02,270 --> 00:22:07,170
898
+ ู…ุณุชุฎุฏู… ู…ู† ุฎู„ุงู„ ุณู†ุฉ ูŠุนู†ูŠ ููŠ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ู…ุฌู…ูˆุนุฉ
899
+
900
+ 263
901
+ 00:22:07,170 --> 00:22:15,950
902
+ ู…ุฎุชู„ูุฉ ู…ู† 500 ู…ุณุชุฎุฏู… ุงุณุชู‚ุจู„ุช ู…ุน 25 ู…ุณุชุฎุฏู… ุชุณุนุฉ ุฃู„ู
903
+
904
+ 264
905
+ 00:22:15,950 --> 00:22:20,830
906
+ ูˆุฎู…ุณุฉ ูˆูŠู…ูŠู† ุณู†ุฉ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
907
+
908
+ 265
909
+ 00:22:20,830 --> 00:22:23,470
910
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
911
+
912
+ 266
913
+ 00:22:23,470 --> 00:22:27,450
914
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
915
+
916
+ 267
917
+ 00:22:27,450 --> 00:22:27,470
918
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
919
+
920
+ 268
921
+ 00:22:27,470 --> 00:22:31,230
922
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุดุฑูƒุงุช ู…ุนูŠู†ุฉ ุงูุชุฑุถ ุงู„ response
923
+
924
+ 269
925
+ 00:22:31,230 --> 00:22:35,270
926
+ ุชุจุนู‡ู… ู…ู…ูƒู† ูŠูƒูˆู† low ูŠุนู†ูŠ ุงู„ู†ุงุณ ู„ู…ุง ุชุณุชุฌูŠุจ ู…ุด ุงู„ูƒู„
927
+
928
+ 270
929
+ 00:22:35,270 --> 00:22:41,050
930
+ ู‡ูŠุนุจูŠ ุงู„ุงุณุชุฌุงุจุฉ ู…ุด ู‡ูŠูƒ ุงู„ marketing company claims
931
+
932
+ 271
933
+ 00:22:41,050 --> 00:22:45,390
934
+ that ุชุชุฏุนูŠ ุงู†ู‡ it receives eight percent responses
935
+
936
+ 272
937
+ 00:22:45,390 --> 00:22:50,310
938
+ from its mailing ู„ู…ุง ุจูŠุจุนุชูˆุง mailing ุจูŠุจุนุชูˆุง ุจุฑูŠุฏ
939
+
940
+ 273
941
+ 00:22:50,310 --> 00:22:56,050
942
+ ุจูŠุฌูŠู‡ู… ุงู„ุฑุฏ ุจุณ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ุฑุฏูˆุฏ ูƒู„ู‡ุง to
943
+
944
+ 274
945
+ 00:22:56,050 --> 00:22:59,510
946
+ test this claim ุนุดุงู† ูŠุฎุชุจุฑูˆุง ู‡ุฐุง ุงู„ุงุฏุนุงุก a random
947
+
948
+ 275
949
+ 00:22:59,510 --> 00:23:05,110
950
+ sample of 500 were surveyed ูŠุนู†ูŠ ุชู… ุงุณุชุทู„ุงุน ุงูˆ ู…ุณุญ
951
+
952
+ 276
953
+ 00:23:05,110 --> 00:23:10,090
954
+ ู„ 500 ูˆุงุญุฏ with 25 responses ูˆุงู„ู„ูŠ ุฌุงูˆุจ ู‚ุฏุงุดุŸ 25
955
+
956
+ 277
957
+ 00:23:10,090 --> 00:23:13,690
958
+ ุฅุฐุง ู‡ูˆ ู‡ูŠุฌุงูˆุจ ุฃูˆ ู…ุด ู‡ูŠุฌุงูˆุจ ูุจุงู„ุชุงู„ูŠ ูƒู„ ูˆุงุญุฏุฉ ุงู„ู„ูŠ
959
+
960
+ 278
961
+ 00:23:13,690 --> 00:23:18,170
962
+ ู„ู‡ุง two possible outcomes either response or don't
963
+
964
+ 279
965
+ 00:23:18,170 --> 00:23:22,810
966
+ response ุฎู„ูŠู†ูŠ ุฃุชุทู„ุน ุนู„ู‰ ุงู„ information ุงู„ู„ูŠ
967
+
968
+ 280
969
+ 00:23:22,810 --> 00:23:28,570
970
+ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒ ููŠ ุงู„ุฃูˆู„ุŒ ุฅูŠุด ุงู„ test ู‡ุชูƒูˆู†ุŸ ู…ูŠูˆ equal
971
+
972
+ 281
973
+ 00:23:28,570 --> 00:23:33,230
974
+ ูˆู„ุง ุจุงูŠ equalุŸ ู…ู‡ู… ุฌุฏุง ุฃุนุฑู ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ู…ูŠูˆ ูˆู„ุง
975
+
976
+ 282
977
+ 00:23:33,230 --> 00:23:37,890
978
+ ุจุงูŠุŸ ุนู„ู‰ ุจุงูŠุŒ ู…ุธุจูˆุท ู„ุฃู† ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ุงู„
979
+
980
+ 283
981
+ 00:23:37,890 --> 00:23:40,970
982
+ proportion of what we are talking about ุจุงูŠ ุฅุฐุง ุงู„
983
+
984
+ 284
985
+ 00:23:40,970 --> 00:23:48,430
986
+ ุจุงูŠ equal 8% ุทุจ ูˆ ุงู„ H1ุŸ ู…ุงุญูƒูŠู‡ุงุด ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ุŒ
987
+
988
+ 285
989
+ 00:23:48,430 --> 00:23:55,180
990
+ ู…ุงููŠุด ู…ุนุชุจุฑู‡ุงุŸู„ุงูŠู‡ ู…ุชุณุงูˆูŠุŸ a random sample of size
991
+
992
+ 286
993
+ 00:23:55,180 --> 00:24:03,760
994
+ 500 ู…ุธุจูˆุทุŸ ุฃูƒู…ู„ ูˆุงุญุฏ ุญูƒุงูŠุฉ ุฃูˆ responseุŸ 8x5 ุฃูˆู„ ุดูŠ
995
+
996
+ 287
997
+ 00:24:03,760 --> 00:24:07,000
998
+ ุจุชุฃูƒุฏ ู…ู† ุงู„ two conditions ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ู„ูŠ ู‡ูŠ n
999
+
1000
+ 288
1001
+ 00:24:07,000 --> 00:24:16,800
1002
+ times y 500 times 8 ู„ูˆ ุถุฑุฑุช 5 ููŠ 8 ุจุทู„ุน ุงู„ 40 ุทุจ ูˆ
1003
+
1004
+ 289
1005
+ 00:24:16,800 --> 00:24:24,010
1006
+ n times 1 minus y ู…ู† ุบูŠุฑ ู…ุญุณุจุฉ ู…ุด ู…ุชุณุงูˆูŠุŸุงู„ู„ูŠ ู‡ูŠ n
1007
+
1008
+ 290
1009
+ 00:24:24,010 --> 00:24:29,190
1010
+ times one minus pi ู…ู† ุบูŠุฑ ู…ุง ู†ุญุณุจู‡ุง ุงู„ู„ูŠ
1011
+
1012
+ 291
1013
+ 00:24:29,190 --> 00:24:34,170
1014
+ ู‡ูŠ ุงู„ complement ู„ู„ุฎู…ุณู…ูŠุฉ ู…ุธุจูˆุท ู…ูƒู…ู„ ุงู„ุฎู…ุณู…ูŠุฉ ุงุฐุง
1015
+
1016
+ 292
1017
+ 00:24:34,170 --> 00:24:38,270
1018
+ ูƒุงู† ุฏูˆู„ุฉ ุงุฑุจุนูŠู† ูˆุนู†ุฏูŠ ุฎู…ุณูŠู† ูˆุทู„ุน ุงุฑุจุน ู…ูŠุฉ ูˆุณุชูŠู† ู„ูˆ
1019
+
1020
+ 293
1021
+ 00:24:38,270 --> 00:24:45,490
1022
+ ุจุชุญุณุจูŠู‡ุง I ุฎู…ุณู…ูŠุฉ of one minus pi ูŠุนู†ูŠ ุฎู…ุณู…ูŠุฉ ููŠ
1023
+
1024
+ 294
1025
+ 00:24:45,490 --> 00:24:50,620
1026
+ ุงุชู†ูŠู† ูˆุชุณุนูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงุฑุจุน ู…ูŠุฉ ูˆุณุชูŠู† ูˆุงุถุญ ุฃู† ู‡ุคู„ุงุก
1027
+
1028
+ 295
1029
+ 00:24:50,620 --> 00:24:57,360
1030
+ ุงู„ุงุชู†ูŠู† ู„ูˆ ุฌู…ุนู†ุงู‡ ู…ุด ุจูŠุทู„ุน ุงู„ุฌูˆุงุจ ู…ู„ูŠุงู†ุฉ
1031
+
1032
+ 296
1033
+ 00:24:57,360 --> 00:24:59,800
1034
+ ู…ุงููŠุด ุฏู„ูˆู‚ุชูŠ ุฃู† ุฃุถุฑุจู‡ุง ู…ู…ูƒู† ุฃุทู„ุน ุงู„ุฌูˆุงุจ ุนู„ู‰ ุทูˆู„
1035
+
1036
+ 297
1037
+ 00:24:59,800 --> 00:25:05,320
1038
+ ุฅุฐุง ูˆุงุถุญ ุงู„ conditions ู…ุง ู„ู‡ู… are satisfied
1039
+
1040
+ 298
1041
+ 00:25:05,320 --> 00:25:08,140
1042
+ because the conditions are n times pi at least 5
1043
+
1044
+ 299
1045
+ 00:25:08,140 --> 00:25:11,740
1046
+ and n times 1 minus pi is at least 5 in this case
1047
+
1048
+ 300
1049
+ 00:25:11,740 --> 00:25:17,580
1050
+ we got 40 and 406 it means the two conditions are
1051
+
1052
+ 301
1053
+ 00:25:17,580 --> 00:25:28,000
1054
+ okay ุงู„ุงู† ูŠุฌุจ ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ุณุฃู‚ูˆู…
1055
+
1056
+ 302
1057
+ 00:25:28,000 --> 00:25:35,280
1058
+ ุจุนู…ู„ ุงู„ู…ุดูƒู„ุฉ ุจุงุณุชุฎุฏุงู… ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ู‚ุฑูŠุจุฉ ุซู… ุจุงุณุชุฎุฏุงู…
1059
+
1060
+ 303
1061
+ 00:25:35,280 --> 00:25:42,500
1062
+ ู‚ูŠู…ุฉ P ู‚ุฑูŠุจุฉ ุงู„ุฃู† Alpha 5% ู†ุญู† ู†ุชูƒู„ู… ุนู† ุชุฌุงุฑุจ 2D
1063
+
1064
+ 304
1065
+ 00:25:48,680 --> 00:25:51,180
1066
+ ู‡ู†ุง ูŠูˆุฌุฏ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1067
+
1068
+ 305
1069
+ 00:25:51,180 --> 00:25:52,260
1070
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1071
+
1072
+ 306
1073
+ 00:25:52,260 --> 00:26:01,660
1074
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1075
+
1076
+ 307
1077
+ 00:26:05,360 --> 00:26:09,440
1078
+ ู„ุฐู„ูƒ ุงู„ู…ู†ุงุทู‚ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฃูƒุชุฑ ู…ู† 1.96 ุฃูˆ ุฃูƒุชุฑ ู…ู†
1079
+
1080
+ 308
1081
+ 00:26:09,440 --> 00:26:15,360
1082
+ ู†ู‚ู„ 1.96 ุฅุฐุง ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุชุณู‚ุท ููŠ ู‡ุฐู‡
1083
+
1084
+ 309
1085
+ 00:26:15,360 --> 00:26:18,520
1086
+ ุงู„ู…ู†ุงุทู‚ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŒ ูุณู†ู†ู‚ู„
1087
+
1088
+ 310
1089
+ 00:26:18,520 --> 00:26:24,200
1090
+ ุฅู„ู‰ ุงู„ู‡ูŠุจูˆุช ู†ูุณูŠ ุฏุนูˆู†ุง ู†ุญูƒู… ููŠ ู‡ุฐู‡ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ
1091
+
1092
+ 311
1093
+ 00:26:31,790 --> 00:26:36,970
1094
+ b-y over square root of y 1-y over n ุจูŠุฒ ุงูƒุณ over
1095
+
1096
+ 312
1097
+ 00:26:36,970 --> 00:26:42,350
1098
+ n ุจูŠุฒ ุงูƒุณ
1099
+
1100
+ 313
1101
+ 00:26:42,350 --> 00:26:44,890
1102
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1103
+
1104
+ 314
1105
+ 00:26:44,890 --> 00:26:45,430
1106
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1107
+
1108
+ 315
1109
+ 00:26:45,430 --> 00:26:48,230
1110
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1111
+
1112
+ 316
1113
+ 00:26:48,230 --> 00:26:50,130
1114
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1115
+
1116
+ 317
1117
+ 00:26:50,130 --> 00:26:50,170
1118
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1119
+
1120
+ 318
1121
+ 00:26:50,170 --> 00:26:54,310
1122
+ ุนุดุฑ
1123
+
1124
+ 319
1125
+ 00:26:54,310 --> 00:26:59,350
1126
+ ุนุดุฑ
1127
+
1128
+ 320
1129
+ 00:26:59,350 --> 00:27:07,050
1130
+ ุนุงู„ู„ูŠ ู‡ูŠ square root of pi 1 minus pi over n ุงู„ู„ูŠ
1131
+
1132
+ 321
1133
+ 00:27:07,050 --> 00:27:15,330
1134
+ ู‡ูŠ 8 percent 92 percent over 500 ู…ู…ูƒู† ุชุญุณุจูŠู‡ุง ุฃู†ุง
1135
+
1136
+ 322
1137
+ 00:27:15,330 --> 00:27:19,870
1138
+ ุจูุถู„ ุฃุญุณุจู‡ุง ูˆุจุนุฏูŠู† ุฃุญุทู‡ู… ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠ
1139
+
1140
+ 323
1141
+ 00:27:19,870 --> 00:27:24,690
1142
+ point
1143
+
1144
+ 324
1145
+ 00:27:24,690 --> 00:27:27,810
1146
+ zero nine eight times nine
1147
+
1148
+ 325
1149
+ 00:27:31,420 --> 00:27:39,380
1150
+ ุฅุฐุง ุจุงู„ู€ 0.8 ูŠุนู†ูŠ 0.92 ุชู‚ุณูŠู… 500 ุจุทู„ุน ุงู„ square
1151
+
1152
+ 326
1153
+ 00:27:39,380 --> 00:27:43,560
1154
+ root 001472
1155
+
1156
+ 327
1157
+ 00:27:43,560 --> 00:27:47,980
1158
+ ู„ูˆ
1159
+
1160
+ 328
1161
+ 00:27:47,980 --> 00:27:53,420
1162
+ ุทู„ุนู†ุง ุงู„ square root 0
1163
+
1164
+ 329
1165
+ 00:27:53,420 --> 00:27:56,540
1166
+ .0001472
1167
+
1168
+ 330
1169
+ 00:27:56,540 --> 00:28:03,390
1170
+ ุฅูŠุด ุจุทู„ุน ุงู„ุฌูˆุงุจุŸ ุจุชุทู„ุน ุฌูˆุงุจ ู‡ุฐุง ุงู„ู€ square root
1171
+
1172
+ 331
1173
+ 00:28:03,390 --> 00:28:13,370
1174
+ ู„ู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ
1175
+
1176
+ 332
1177
+ 00:28:13,370 --> 00:28:18,730
1178
+ ู‡ูŠ point zero zero one four seven two ุจุชุทู„ุน ุฌูˆุงุจ
1179
+
1180
+ 333
1181
+ 00:28:18,730 --> 00:28:26,630
1182
+ ูƒุฏู‡ุŸ zero one two ุชู‚ุฑูŠุจุง ุญุณุงุจ ุงู„ุชุฏูˆู„ุŸ ุฅุฐุง ุฃู†ุง ุจู†ุตุญ
1183
+
1184
+ 334
1185
+ 00:28:26,630 --> 00:28:31,170
1186
+ ุฏู‡ ู…ู† ุฃุนู…ู„ ุฒูŠ ู‡ูŠูƒ ุฃุทู„ุน ุงู„ b ูˆ ุงู„ sigma ู„ู„ b ูˆ
1187
+
1188
+ 335
1189
+ 00:28:31,170 --> 00:28:35,110
1190
+ ุจุนุฏูŠู† ุฃุญุณุจ ุงู„
1191
+
1192
+ 336
1193
+ 00:28:35,110 --> 00:28:42,250
1194
+ z set ุจุชุณุงูˆูŠ b minus pi ุน sigma ู„ู„ b ุงู„ b 5
1195
+
1196
+ 337
1197
+ 00:28:42,250 --> 00:28:47,490
1198
+ percent ุงู„ pi ุจู‚ูŠุช ุงู„ sigma ู„ู„ b ุฃู†ุง ุฃุทู„ุนู‡ุง ุชู‚ุฑูŠุจุง
1199
+
1200
+ 338
1201
+ 00:28:47,490 --> 00:28:51,730
1202
+ 0.12 ุงู„ุฌูˆุงุจ ุทุงู„ุน negative 2.47
1203
+
1204
+ 339
1205
+ 00:28:59,160 --> 00:28:59,600
1206
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1207
+
1208
+ 340
1209
+ 00:28:59,600 --> 00:29:07,040
1210
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1211
+
1212
+ 341
1213
+ 00:29:07,040 --> 00:29:09,020
1214
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1215
+
1216
+ 342
1217
+ 00:29:09,020 --> 00:29:09,760
1218
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1219
+
1220
+ 343
1221
+ 00:29:09,760 --> 00:29:10,160
1222
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1223
+
1224
+ 344
1225
+ 00:29:10,160 --> 00:29:10,440
1226
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1227
+
1228
+ 345
1229
+ 00:29:10,440 --> 00:29:10,500
1230
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1231
+
1232
+ 346
1233
+ 00:29:10,500 --> 00:29:10,780
1234
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1235
+
1236
+ 347
1237
+ 00:29:10,780 --> 00:29:23,220
1238
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1239
+
1240
+ 348
1241
+ 00:29:26,930 --> 00:29:31,270
1242
+ -2.47% ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุฌุงู„ ุงู„ุชุฑูุถ ูˆุงุถุญ ุงู† ู‚ูŠู…ุฉ
1243
+
1244
+ 349
1245
+ 00:29:31,270 --> 00:29:36,190
1246
+ ุงู„ุญุตุงุก ูˆูŠู† ู…ูˆุฌูˆุฏุฉ ููŠ ู…ู†ุทู‚ุฉ ุงู„ุฑูุถ ุชู‚ูˆู„ ู†ุญู† ู†ุชูุฑุฌ ุนู†
1247
+
1248
+ 350
1249
+ 00:29:36,190 --> 00:29:40,830
1250
+ ุงู„ู€ null hypothesis ุทุงู„ู…ุง ู†ุชูุฑุฌ ุนู† ุงู„ุงุฎุชุตุงุฑ ูŠูˆุฌุฏ
1251
+
1252
+ 351
1253
+ 00:29:40,830 --> 00:29:45,990
1254
+ ูˆุซู‚ุฉ ูƒุงููŠุฉ ู„ุชูุฑุฌ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู„ุดุฑูƒุงุช ู…ู† 8% ุนุฏุฏ
1255
+
1256
+ 352
1257
+ 00:29:45,990 --> 00:29:50,550
1258
+ ุงู„ุฅุฌุงุจุฉ ุฅุฐู† ู‡ู…ุง ูƒุงู†ูˆุง ุฏุนุงู‡ู… ุฅู†ู‡ ู„ู… ูŠุฌูŠุจูˆุง 8%
1259
+
1260
+ 353
1261
+ 00:29:50,550 --> 00:29:55,370
1262
+ ูƒู„ุงู…ุชู‡ ุตุญ ูˆู„ุง ุบู„ุท ู…ุด ุตุญุŸ ุจุงู„ุชุงู„ูŠ ู‡ูˆ ู…ุงู„ู‡ differs
1263
+
1264
+ 354
1265
+ 00:29:55,370 --> 00:29:59,190
1266
+ from 8% do you think it's smaller than or greater
1267
+
1268
+ 355
1269
+ 00:29:59,190 --> 00:30:04,350
1270
+ than 8%ุŸ ู„ูˆ ุทู„ุน ุงู„ conclusion ุชูƒูˆู† ุจุงูŠ ุฃูƒุจุฑ ูˆู„ุง
1271
+
1272
+ 356
1273
+ 00:30:04,350 --> 00:30:09,810
1274
+ ุฃู‚ู„ุŒ ุฅูŠุด ุชุชูˆู‚ุนูŠุŸ ู…ุง ู‡ูŠ ู„ุง ูŠุชุณุงูˆู‰ ู…ุนู†ุงู‡ุง ูˆุงุญุฏุฉ ู…ู†
1275
+
1276
+ 357
1277
+ 00:30:09,810 --> 00:30:15,050
1278
+ ุงู„ุฃุชู†ูŠู† ู„ุง ูŠุชุณุงูˆู‰ ู…ุนู†ุงู‡ุง .. ุฃู†ุง ุจุญูƒูŠู„ูƒ ุฃู†ุช ู…ุงุญูƒูŠุด
1279
+
1280
+ 358
1281
+ 00:30:15,050 --> 00:30:18,470
1282
+ ุนุดุฑ ุฃุดูŠุงุก ู…ุงุญูƒูŠุด ู…ุนู†ุงู‡ุง ูŠุง ู…ุนุงูƒ ุฃูƒุชุฑ ูŠุง ู…ุนุงูƒ ุฃู‚ู„
1283
+
1284
+ 359
1285
+ 00:30:18,470 --> 00:30:21,850
1286
+ ุทูŠุจ ู‡ูŠู† .. ู„ู…ุง ุจุญูƒูŠ ู…ุนุงูƒ .. ุงู„ buy ุจุชุณุงูˆูŠุด ุฎุงู† 8%
1287
+
1288
+ 360
1289
+ 00:30:22,650 --> 00:30:28,010
1290
+ ู…ุนู†ุงู‡ ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ููŠ ุงู„ุญุงู„ุฉ ุชุจุนุชู†ุงุŸ ู„ูŠุด ุฃูƒุจุฑุŸ
1291
+
1292
+ 361
1293
+ 00:30:28,010 --> 00:30:32,870
1294
+ ุนุดุงู† ุงู„ุณู„ุฉ ุจุชูƒูˆู† ุฃูƒุจุฑุŸ ู„ู…ุง ุงู„ุดู„ุฉ ุชูƒูˆู† ุงู„ุณู„ุฉ ุจุชูƒูˆู†
1295
+
1296
+ 362
1297
+ 00:30:32,870 --> 00:30:36,770
1298
+ ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ ุฌูˆุงุจ ุจุงู„ negative
1299
+
1300
+ 363
1301
+ 00:30:36,770 --> 00:30:40,610
1302
+ ุจุชูƒูˆู† ุงู„ู‚ูŠู… ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ุงู†ุช ู„ุญุธุฉ ุทุงู„ุน ุฃู†ุช
1303
+
1304
+ 364
1305
+ 00:30:40,610 --> 00:30:45,570
1306
+ ู…ุงุญุชูุธุด ู…ู† ุนู†ุฏูƒ ุจูŠ minus ุจุงูŠ negative ู…ุน ูƒุฏู‡ ุงู„ุจูŠ
1307
+
1308
+ 365
1309
+ 00:30:45,570 --> 00:30:50,430
1310
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑ ู…ู† ุจุงูŠุŸ ุฃู‚ู„ ู…ู† ุจุงูŠุช ูุจุชุฎูŠู„ ุจุงุณู†ุชุฌุฑ
1311
+
1312
+ 366
1313
+ 00:30:50,430 --> 00:30:52,950
1314
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช
1315
+
1316
+ 367
1317
+ 00:30:52,950 --> 00:30:56,370
1318
+ ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1319
+
1320
+ 368
1321
+ 00:30:56,370 --> 00:30:56,830
1322
+ ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†
1323
+
1324
+ 369
1325
+ 00:30:56,830 --> 00:30:56,910
1326
+ ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†
1327
+
1328
+ 370
1329
+ 00:30:56,910 --> 00:31:04,750
1330
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„
1331
+
1332
+ 371
1333
+ 00:31:04,750 --> 00:31:10,050
1334
+ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1335
+
1336
+ 372
1337
+ 00:31:10,050 --> 00:31:16,290
1338
+ ุฃู‚ู„
1339
+
1340
+ 373
1341
+ 00:31:16,290 --> 00:31:25,660
1342
+ ู…ู† ุจุงูŠุช ุงู„ู€ P-Value ุฏุนูˆู†ูŠ ุฃุฑู‰ ู…ุน ุจุนุถ ู‡ุฐุง ู‡ูˆ
1343
+
1344
+ 374
1345
+ 00:31:25,660 --> 00:31:30,500
1346
+ P-Value P-Value ุณุชุณุงูˆูŠ ุฅุฐุง ุฑุฃูŠุช ุงู„ู€ Statistics
1347
+
1348
+ 375
1349
+ 00:31:30,500 --> 00:31:37,460
1350
+ ูŠูƒูˆู† ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ุฃูˆ ุฃุตุบุฑ ู…ู†ู‡ุง ูŠุนู†ูŠ ุณุฃุฎุฏ ู‚ุทุน ุงู„ู€
1351
+
1352
+ 376
1353
+ 00:31:37,460 --> 00:31:43,820
1354
+ Absolute Value Z ุฃูƒุจุฑ ู…ู† 2 ุฃูˆ Z ุฃู‚ู„ ู…ู† negative 2
1355
+
1356
+ 377
1357
+ 00:31:43,820 --> 00:31:48,780
1358
+ .47 ุงู„ุชูŠู†ุชูŠู† ุฒูŠ ุจุนุถุŒ ู…ุธุจูˆุท ุฏุงูŠู…ุง .. ู‡ุฏูˆู„ ุฏุงูŠู…ุง ุฎู„ูŠ
1359
+
1360
+ 378
1361
+ 00:31:48,780 --> 00:31:54,720
1362
+ ุจุงู„ูƒ .. ู„ู…ุง ุจุชูƒู„ู… ุนู† ุงู„ B value ุจุญุท ู‡ู†ุง ู…ูŠู† ุงู„ Z
1363
+
1364
+ 379
1365
+ 00:31:54,720 --> 00:31:59,960
1366
+ statistic ุญูƒูŠุช ุฏูŠ ุนุงู…ุฉ ุดูˆูŠุฉ ูุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† 2.47
1367
+
1368
+ 380
1369
+ 00:31:59,960 --> 00:32:04,180
1370
+ ู‡ู†ุง ูˆู‡ู†ุง negative 2.47 ุงู„ุชูŠู†ุชูŠู† ู‡ุฏูˆู„ ุฒูŠ ุจุนุถุŒ
1371
+
1372
+ 381
1373
+ 00:32:04,180 --> 00:32:08,080
1374
+ ู…ุธุจูˆุท ุจุทู„ุน ูˆุงุญุฏุฉ ุจุถุฑุจ ููŠ ุงุชู†ูŠู† ู…ูŠู† ู„ุณู‡ ู„ุทู„ุนุŸ
1375
+
1376
+ 382
1377
+ 00:32:08,080 --> 00:32:12,950
1378
+ ุงู„ุฃูƒุจุฑ ูˆู„ุง ุงู„ุฃู‚ู„ุŸ ุฏุงูŠู…ุง ุงู„ุฃุณู„ุฉ ุญุณุจ ุงู„ table ุงู„ุชูŠุจู„
1379
+
1380
+ 383
1381
+ 00:32:12,950 --> 00:32:15,750
1382
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ูŠุนุทูŠ ู…ุณุงุญุฉ ูŠู…ูŠู† ูˆู„ุง ุดู…ุงู„ ุชุจู‚ู‰ ุงู„ Z ุชุจู‚ู‰
1383
+
1384
+ 384
1385
+ 00:32:15,750 --> 00:32:21,490
1386
+ ุงู„ Z ุฎู„ูŠ ุจุงู„ูƒ ู‡ุฐุง Z ู‡ุฐุง ุงู„ุชูˆุฒูŠุน Z ู…ุด T ุฒูŠ ุงู„ู„ูŠ
1387
+
1388
+ 385
1389
+ 00:32:21,490 --> 00:32:25,130
1390
+ ูุงุช ุงู„
1391
+
1392
+ 386
1393
+ 00:32:25,130 --> 00:32:29,530
1394
+ negative ุฃูŠู‡ ุฌุงู‡ุฒ ุจูŠุนุทูŠู†ุง ุฅูŠู‡ to the right ูˆ to
1395
+
1396
+ 387
1397
+ 00:32:29,530 --> 00:32:34,790
1398
+ the left ุจุงู„ุชุงู„ุฉ ุฏูŠ ุฌุงู‡ุฒุฉ ุงู„ู„ูŠ ุฃูƒุจุฑ ุจุฏูŠ ุฃุนู…ู„ one
1399
+
1400
+ 388
1401
+ 00:32:34,790 --> 00:32:38,910
1402
+ minus ู…ุด ุดูƒ ุงู„ุงุชู†ูŠู† ุตุญ ูุจุฃุฎุฏ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูˆ ุจุถุฑู
1403
+
1404
+ 389
1405
+ 00:32:38,910 --> 00:32:43,450
1406
+ ุงู„ุงุชู†ูŠู† ุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฃู†ุง ุจุฏูŠ ุฃุฎุฏ ุงู„ุฃุณู‡ู„ุงู„ู„ูŠ
1407
+
1408
+ 390
1409
+ 00:32:43,450 --> 00:32:51,310
1410
+ ุฌุงู‡ุฒุฉ ุนู†ุฏู‰ negative 2.4 under 7 ู‡ูŠ negative 2.4
1411
+
1412
+ 391
1413
+ 00:32:51,310 --> 00:32:54,350
1414
+ 0068
1415
+
1416
+ 3
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/2ARSwG-nNMs_postprocess.srt ADDED
@@ -0,0 +1,1628 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,940 --> 00:00:25,780
3
+ ุฅุฐุง ุงู„ุดุฑูƒุฉ ุชุฑุบุจ ููŠ ุชุฌุงุฑุฉ ู‡ุฐู‡ ุงู„ุงุฎุชุตุงุฑุฉ ูˆููŠู‡ุง
4
+
5
+ 2
6
+ 00:00:25,780 --> 00:00:31,040
7
+ ุงุนุชุจุงุฑ ุงู† ุงู„ู…ุดุงุฑูƒุฉ ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู… ูุจุงู„ุชุงู„ูŠ
8
+
9
+ 3
10
+ 00:00:31,040 --> 00:00:37,080
11
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุชุฌุงุฑุฉ C ู„ุฃู† ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู‡ูŠ ุฃู‚ู„ ู…ู†
12
+
13
+ 4
14
+ 00:00:37,080 --> 00:00:42,460
15
+ 52 ุจูŠุฑู…ุงู† ู‡ุฐุง ู…ุง ู†ุฑูŠุฏู‡ ุฃู† ู†ูุนู„ู‡ ุทุจุนุง ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ
16
+
17
+ 5
18
+ 00:00:42,460 --> 00:00:45,100
19
+ ู…ูƒุชูˆุจุฉ 152 ุฃูˆ ุฃู‚ู„ ู…ู† 152
20
+
21
+ 6
22
+ 00:00:48,850 --> 00:00:52,790
23
+ ุงู„ุงู† ุจุญูƒูŠ suppose alpha is 10% ูŠุนู†ูŠ alpha is given
24
+
25
+ 7
26
+ 00:00:52,790 --> 00:01:02,070
27
+ to be 10% ูˆ ุงู„ sample size 25 ูŠุนู†ูŠ ุงุชุงู†ู‰ ุงู„ sample
28
+
29
+ 8
30
+ 00:01:02,070 --> 00:01:06,510
31
+ size 25 ุจู†ุฏู‚ู†ุง ู†ุญู„ ุงู„ุณุคุงู„ ูˆ ู†ุทู„ุน ุงู„ rejection
32
+
33
+ 9
34
+ 00:01:06,510 --> 00:01:12,630
35
+ region ู‡ุฐุง ุจุญูƒูŠ ุนู„ู‰ one tailed test ุชุจุชุฏ
36
+
37
+ 10
38
+ 00:01:12,630 --> 00:01:15,650
39
+ ูƒู„ุงู… ุนู„ู‰ ุงู„ upper tail ูู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ู‡ู†ุง ู„ุงุฒู…
40
+
41
+ 11
42
+ 00:01:15,650 --> 00:01:20,310
43
+ ุงุทู„ุนู‡ุง ู…ู† ุงูŠู†ุŸ ู…ู† ุงู„ tableูู‡ุฐู‡ ุงู„ู€ critical value
44
+
45
+ 12
46
+ 00:01:20,310 --> 00:01:29,530
47
+ ุจุณู…ูŠู‡ุง T D F ูˆ Alpha ู‡ูŠูƒ ุชูƒุชุจ ุทุจุนุง
48
+
49
+ 13
50
+ 00:01:29,530 --> 00:01:36,010
51
+ degrees of freedom N equals 25 ุจุงู„ุชุงู„ูŠ ุงู„ minus
52
+
53
+ 14
54
+ 00:01:36,010 --> 00:01:48,850
55
+ one it gives 24 24 ูˆ 10% ูุจูุชุญ ุชุงุจุน ุงู„ ..ู„ู„ู€ T
56
+
57
+ 15
58
+ 00:01:48,850 --> 00:02:07,610
59
+ -test ุจู†ุนู…ู„
60
+
61
+ 16
62
+ 00:02:07,610 --> 00:02:13,490
63
+ location ู„ู€ 24 degrees of freedom ู„ุฅู†
64
+
65
+ 17
66
+ 00:02:13,490 --> 00:02:16,210
67
+ ู‡ูŠ 24 ูˆ under 10%
68
+
69
+ 18
70
+ 00:02:20,300 --> 00:02:29,840
71
+ ูุงู„ู€ critical value 1.318 ุซู… ู†ู‚ูˆู„ 1.318 ู…ุน ูƒุฏู‡ ู†ู‚ู„
72
+
73
+ 19
74
+ 00:02:29,840 --> 00:02:33,820
75
+ ุฅุฐุง ูƒุงู†ุช ุชูŠุณุชุงุชูŠุณุชูŠูƒ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ
76
+
77
+ 20
78
+ 00:02:33,820 --> 00:02:39,460
79
+ ุงู„ุชูŠ ุฃูƒุจุฑ ู…ู† 1
80
+
81
+ 21
82
+ 00:02:39,460 --> 00:02:44,720
83
+ .318 ูู†ู‚ู„ ุฅุฐุง
84
+
85
+ 22
86
+ 00:02:44,720 --> 00:02:52,800
87
+ ูƒุงู†ุช ุชูŠุณุชูŠูƒ ุฃูƒุจุฑ ู…ู† 1.318ู„ู…ุงุฐุง ุงูƒุจุฑ ู…ู† ุงูƒุชุฑุŸ ู„ุงู†ู†ุง
88
+
89
+ 23
90
+ 00:02:52,800 --> 00:02:55,980
91
+ ู†ุฌุฑุจ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ
92
+
93
+ 24
94
+ 00:02:55,980 --> 00:02:57,160
95
+ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
96
+
97
+ 25
98
+ 00:02:57,160 --> 00:03:00,320
99
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
100
+
101
+ 26
102
+ 00:03:00,320 --> 00:03:04,700
103
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ
104
+
105
+ 27
106
+ 00:03:04,700 --> 00:03:05,960
107
+ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
108
+
109
+ 28
110
+ 00:03:05,960 --> 00:03:07,680
111
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
112
+
113
+ 29
114
+ 00:03:07,680 --> 00:03:08,460
115
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
116
+
117
+ 30
118
+ 00:03:08,460 --> 00:03:14,320
119
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงุฅุฐุง ุชูŠุณุชุงุช ุฃูƒุชุฑ ู…ู† 1.318.
120
+
121
+ 31
122
+ 00:03:14,640 --> 00:03:17,920
123
+ ุงู„ุขู† ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจู…ู‚ุงุฑู†ุฉ ู‚ูŠู…ุฉ ู…ู‚ุงุฑู†ุฉ ุงู„ุงุฎุชุตุงุฑุงุช.
124
+
125
+ 32
126
+ 00:03:18,920 --> 00:03:22,440
127
+ ู„ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠุฌุจ ุฃู† ู†ุญุตู„ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ ูˆู†ู‚ูˆู…
128
+
129
+ 33
130
+ 00:03:22,440 --> 00:03:30,660
131
+ ุจู…ู‚ุงุฑู†ุฉ ูƒุงู…ุฉ ู…ู† ู…ู‚ุงุฑู†ุฉ X ูˆู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ
132
+
133
+ 34
134
+ 00:03:30,660 --> 00:03:31,680
135
+ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X
136
+
137
+ 35
138
+ 00:03:31,680 --> 00:03:39,440
139
+ .ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X
140
+
141
+ 36
142
+ 00:03:39,440 --> 00:03:39,640
143
+ .ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X
144
+
145
+ 37
146
+ 00:03:39,640 --> 00:03:41,510
147
+ .ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑุฅุฐุง ู‡ุฏูˆู„
148
+
149
+ 38
150
+ 00:03:41,510 --> 00:03:45,510
151
+ ุงู„ู€ X bar ูˆ ุงู„ู€ S are given both for the sample
152
+
153
+ 39
154
+ 00:03:45,510 --> 00:03:50,710
155
+ Now it's easy to compute the twist statistic By
156
+
157
+ 40
158
+ 00:03:50,710 --> 00:03:56,670
159
+ using the formula we know X bar minus nu minus mu
160
+
161
+ 41
162
+ 00:03:56,670 --> 00:04:02,710
163
+ over S over root N So X bar minus the mean S over
164
+
165
+ 42
166
+ 00:04:02,710 --> 00:04:05,950
167
+ square root of N Now straightforward calculations
168
+
169
+ 43
170
+ 00:04:05,950 --> 00:04:14,270
171
+ you can get the result of X bar53 ู…ุงู†ูˆุณ ุงู„ุงู† ู…ูŠูˆ
172
+
173
+ 44
174
+ 00:04:14,270 --> 00:04:25,690
175
+ ุงูƒุชุฑ ู…ู† 52 ุณูŠุฌู…ุง ู‡ูˆ 10 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
176
+
177
+ 45
178
+ 00:04:25,690 --> 00:04:27,390
179
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
180
+
181
+ 46
182
+ 00:04:27,390 --> 00:04:27,590
183
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
184
+
185
+ 47
186
+ 00:04:27,590 --> 00:04:28,710
187
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
188
+
189
+ 48
190
+ 00:04:28,710 --> 00:04:28,750
191
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
192
+
193
+ 49
194
+ 00:04:28,750 --> 00:04:30,190
195
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
196
+
197
+ 50
198
+ 00:04:30,190 --> 00:04:38,950
199
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25
200
+
201
+ 51
202
+ 00:04:40,020 --> 00:04:46,260
203
+ ุงู„ุงู† ูŠุฌุจ ุฃู† ุชู‚ุงุฑู† ุชู‚ุงุฑูŠุฑ ุชู‚ุงุฑูŠุฑ ุงู„ู€ T ู…ุน ุงู„ู…ู†ุทู‚ุฉ
204
+
205
+ 52
206
+ 00:04:46,260 --> 00:04:52,000
207
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุงู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ
208
+
209
+ 53
210
+ 00:04:52,000 --> 00:04:55,400
211
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉุŸ
212
+
213
+ 54
214
+ 00:04:55,400 --> 00:05:03,080
215
+ ูˆุงุถุญ ุฃู† ุงู„ู€ 0.55 ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉุจุงู„ู†ุณุจุฉ
216
+
217
+ 55
218
+ 00:05:03,080 --> 00:05:07,240
219
+ ู„ู‡ุฐุง ุงู„ุณุจุจุŒ ู„ุง ู†ู‚ูุฒ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ุฅุฐุง ู„ู… ุฃุฑูุถู‡ุง
220
+
221
+ 56
222
+ 00:05:07,240 --> 00:05:11,520
223
+ ู‡ุฐุง ู…ุนู†ุงู‡ ุฃูŠู‡ุŸ ุงู„ู€ Managerial ConclusionุŒ ู„ุง ูŠูˆุฌุฏ
224
+
225
+ 57
226
+ 00:05:11,520 --> 00:05:16,880
227
+ ูˆุซูŠู‚ุฉ ูƒุงููŠุฉ ู„ุฅุธู‡ุงุฑ ุฃู† ู…ู‚ุงู„ ุงู„ู€ True Mean ู‡ูˆ ุฃูƒุชุฑ
228
+
229
+ 58
230
+ 00:05:16,880 --> 00:05:17,380
231
+ ู…ู† 52
232
+
233
+ 59
234
+ 00:05:24,570 --> 00:05:28,010
235
+ ููŠ ุณุคุงู„ ูˆุงุถุญ ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ุญูƒูŠู†ุงู‡ุง ุงู…ุจุงุฑุญ ู„ูƒู†
236
+
237
+ 60
238
+ 00:05:28,010 --> 00:05:31,970
239
+ ุงู„ุงุฎุชู„ุงู ุจุณ ุจุฏู„ ู…ุง ูƒุงู†ุช two-tailed ุงู„ุงู† ูƒุงู† one
240
+
241
+ 61
242
+ 00:05:31,970 --> 00:05:35,990
243
+ -tailed the other side on the other hand we can
244
+
245
+ 62
246
+ 00:05:35,990 --> 00:05:40,750
247
+ compute the p-value because we mentioned yesterday
248
+
249
+ 63
250
+ 00:05:40,750 --> 00:05:44,110
251
+ there are two ways or two approaches for
252
+
253
+ 64
254
+ 00:05:44,110 --> 00:05:47,730
255
+ conducting the test one is called a critical value
256
+
257
+ 65
258
+ 00:05:47,730 --> 00:05:50,590
259
+ approach this is a critical value and the other
260
+
261
+ 66
262
+ 00:05:50,590 --> 00:05:55,780
263
+ one is called p-value approachุจุงู„ูุฑุญ ุชูŠ ุชูŠุงุจู„ ุชุนุทูŠ
264
+
265
+ 67
266
+ 00:05:55,780 --> 00:06:03,440
267
+ ู†ุชูŠุฌุฉ ุชู‚ุฑูŠุจุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
268
+
269
+ 68
270
+ 00:06:03,440 --> 00:06:05,520
271
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ
272
+
273
+ 69
274
+ 00:06:05,520 --> 00:06:10,300
275
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
276
+
277
+ 70
278
+ 00:06:10,300 --> 00:06:10,840
279
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ
280
+
281
+ 71
282
+ 00:06:10,840 --> 00:06:13,400
283
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
284
+
285
+ 72
286
+ 00:06:13,400 --> 00:06:17,000
287
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
288
+
289
+ 73
290
+ 00:06:17,000 --> 00:06:18,000
291
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจ
292
+
293
+ 74
294
+ 00:06:23,400 --> 00:06:27,840
295
+ Probability of T greater than ..ุงู„ุนู†ูˆุงู† ู‡ู†ุง ู‡ูˆ
296
+
297
+ 75
298
+ 00:06:27,840 --> 00:06:34,300
299
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
300
+
301
+ 76
302
+ 00:06:34,300 --> 00:06:36,280
303
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
304
+
305
+ 77
306
+ 00:06:36,280 --> 00:06:39,640
307
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
308
+
309
+ 78
310
+ 00:06:39,640 --> 00:06:40,860
311
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
312
+
313
+ 79
314
+ 00:06:40,860 --> 00:06:41,700
315
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
316
+
317
+ 80
318
+ 00:06:41,700 --> 00:06:44,640
319
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
320
+
321
+ 81
322
+ 00:06:44,640 --> 00:06:49,220
323
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠ
324
+
325
+ 82
326
+ 00:06:50,380 --> 00:06:56,180
327
+ ูุจุฃุฎุฏ ุนู†ุฏ ุงู„ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ู‡ุฐู‡ ู…ู‡ู…ุฉ ุฌุฏุง ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู†
328
+
329
+ 83
330
+ 00:06:56,180 --> 00:06:58,520
331
+ ุงู„ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ู…ุด ุฃูƒุจุฑ ู…ู† ุงู„ one point three one
332
+
333
+ 84
334
+ 00:06:58,520 --> 00:07:01,860
335
+ eight ู…ุด ุนู„ุงู‚ุฉ ุจู‡ุฐู‡ ูŠุนู†ูŠ ุจุดูˆู ุฅูŠุด ุงุญุชู…ุงู„ ุชูƒูˆู† ุงู„
336
+
337
+ 85
338
+ 00:07:01,860 --> 00:07:04,640
339
+ test statistic ุฃูƒุจุฑ ู…ู† ุงู„ test value ุงู„ู„ูŠ ู‡ูˆ point
340
+
341
+ 86
342
+ 00:07:04,640 --> 00:07:09,500
343
+ five five now in this case just backward
344
+
345
+ 87
346
+ 00:07:09,500 --> 00:07:13,500
347
+ calculation this is my t table again we have to
348
+
349
+ 88
350
+ 00:07:13,500 --> 00:07:18,600
351
+ look at degrees of freedom twenty four and search
352
+
353
+ 89
354
+ 00:07:19,520 --> 00:07:24,540
355
+ for the value of 0.55 ุฏูˆุฑ ุน ุงู„ู‚ูŠู…ุฉ ุงู„ุฎู…ุณุฉ ุฎู…ุณูŠู† ู…ู†
356
+
357
+ 90
358
+ 00:07:24,540 --> 00:07:28,900
359
+ ู‡ู†ุง for sure the table will not give all values so
360
+
361
+ 91
362
+ 00:07:28,900 --> 00:07:34,440
363
+ we are looking for the the closest value of 0.55
364
+
365
+ 92
366
+ 00:07:34,440 --> 00:07:38,860
367
+ ูŠุนู†ูŠ ุจุฏูˆุฑ ุนู„ุดุงู† ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ุจู…ุดูŠ ุน ุงู„ 24 ููŠ ุนู†ุฏ 0
368
+
369
+ 93
370
+ 00:07:38,860 --> 00:07:46,570
371
+ .685 ุจุนุฏูŠู† ุจุฒูŠุฏ ู…ุธุจูˆุท ู…ุน ูƒุฏู‡ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู…ูŠู† ู‡ุชูƒูˆู†ู‡ูŠ
372
+
373
+ 94
374
+ 00:07:46,570 --> 00:07:49,670
375
+ ู‡ุฐู‡ ูˆุงุถุญุฉ ุฅุฐุง ู…ุงููŠุด ุนู†ุฏู‰ ุญุงุฌุฉ ุงุณู…ู‡ุง point five
376
+
377
+ 95
378
+ 00:07:49,670 --> 00:07:54,170
379
+ five ุจุงุฎุฏ ุงูŠุดุŸ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ูŠู‡ุง point six eight five
380
+
381
+ 96
382
+ 00:07:54,170 --> 00:07:58,010
383
+ ุฅุฐุง ู…ุงู„ูƒ ุฏู‡ ุงู„ุฌูˆุงุจ ู‡ุชุทู„ุน ู…ุนุงู‡ ุชู‚ุฑูŠุจุง ู…ุด exact
384
+
385
+ 97
386
+ 00:07:58,010 --> 00:08:05,490
387
+ result ุฅูŠุด ุจุชุณุงูˆูŠุŸ ุฎู…ุณ ุนุดุฑ ู…ู† ุฏูŠุŒ ุฅุฐุง point twenty
388
+
389
+ 98
390
+ 00:08:05,490 --> 00:08:12,190
391
+ five ุทุจ ู…ู† ูˆุฌู‡ุฉ ู…ุธุฑูƒ ู‡ูŠ ุฃูƒุจุฑ ู…ู† point twenty five
392
+
393
+ 99
394
+ 00:08:12,190 --> 00:08:21,360
395
+ ูˆู„ุง ุฃู‚ู„ุŸ ู„ุญุธุฉูˆ ุฃู†ุง ู…ุงุดูŠ ู‡ูŠูƒ ุงู„ P value ู…ุงู„ู‡ุง ู‡ูŠูƒ
396
+
397
+ 100
398
+ 00:08:21,360 --> 00:08:25,040
399
+ ู‡ูŠูƒ ุชูƒุจุฑ .. ุชูƒุจุฑ .. ุฎู…ุณุฉุŒ ุนุดุฑูŠู†ุŒ ุนุดุฑูŠู†ุŒ ุฎู…ุณุชุงุดุฑุŒ
400
+
401
+ 101
402
+ 00:08:25,040 --> 00:08:28,900
403
+ ุนุดุฑุฉุŒ ุจุชุตุบุฑ ุทูŠุจ ุฃู†ุง ุฃู‚ูŠู… ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุงุŒ ู…ุงุดูŠ ุนู„ู‰
404
+
405
+ 102
406
+ 00:08:28,900 --> 00:08:32,900
407
+ ุงู„ูŠู…ูŠู† ูˆู„ุง ุฌุงูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ุŸ ุฌุงูŠ ู‡ูŠูƒ ุงู„ fifty-five
408
+
409
+ 103
410
+ 00:08:32,900 --> 00:08:40,660
411
+ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ ู…ุน ูƒุฏู‡ ุงู„ P value ุชุจุนุช ู‡ู†ุง ูŠุนู†ูŠ ุงู„
412
+
413
+ 104
414
+ 00:08:40,660 --> 00:08:43,660
415
+ result ุตุญ ุญูˆุงู„ูŠู† ุงู„ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู†ุŒ ุจู‚ูˆู„ูƒ ุฅู†ู‡ุง ู…ุงู„ู‡ุง
416
+
417
+ 105
418
+ 00:08:45,230 --> 00:08:51,630
419
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† 25% either way if you just mention
420
+
421
+ 106
422
+ 00:08:51,630 --> 00:08:55,630
423
+ it's approximately 0.25 or greater than 0.25 you
424
+
425
+ 107
426
+ 00:08:55,630 --> 00:08:58,850
427
+ have to compare this b value with alpha now alpha
428
+
429
+ 108
430
+ 00:08:58,850 --> 00:09:03,390
431
+ is given to be 10% is your b value greater than
432
+
433
+ 109
434
+ 00:09:03,390 --> 00:09:11,390
435
+ alpha in other words is 0.25 ููŠ ู…ู‡ุฏูŠ ุฃูƒุจุฑ ู…ู† 0.10
436
+
437
+ 110
438
+ 00:09:14,120 --> 00:09:21,480
439
+ ุจุงู„ู„ู‡ ุนู† ุฌุฏ 25% ุฃูƒุจุฑ ูˆู„ุง ุฃุตุบุฑ ู…ู† point ูˆุงุญุฏ ู‡ุฏ
440
+
441
+ 111
442
+ 00:09:21,480 --> 00:09:26,180
443
+ ุฃูƒุจุฑ ูˆู„ุง ุฃุตุบุฑุŸ ู‡ุฏ ูƒุฏู‡ ู…ุฑุชูŠู† ูˆ ู†ุต ุชู‚ุฑูŠุจุง ุฃูƒุจุฑ ู…ุธุจูˆุท
444
+
445
+ 112
446
+ 00:09:26,180 --> 00:09:29,380
447
+ ุทุจ ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ we reject ูˆู„ุง don't rejectุŸ don't
448
+
449
+ 113
450
+ 00:09:29,380 --> 00:09:34,740
451
+ reject ู…ุน ูƒุฏู‡ ุทู„ุนุชุด ุจู†ูุณ ุงู„ conclusion ุงู„ุฃูˆู„ ุฅุฐุง
452
+
453
+ 114
454
+ 00:09:34,740 --> 00:09:38,590
455
+ ุงู„ both cases we don't reject on the hypothesisุฅุฐุง
456
+
457
+ 115
458
+ 00:09:38,590 --> 00:09:43,370
459
+ ุงู„ู€ 0.25 ู‡ูˆ ุฃูƒุชุฑ ู…ู† 10% ู„ุฐู„ูƒ ู„ุง ู†ู‚ู„ ุฃูŠุถู‹ุง ุงู„ู€ null
460
+
461
+ 116
462
+ 00:09:43,370 --> 00:09:48,850
463
+ hypothesis ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุฏุงุฑุฉ
464
+
465
+ 117
466
+ 00:09:48,850 --> 00:09:52,630
467
+ ุงู„ู€ alternative hypothesis ุงู„ุชูŠ ุชุดูŠุฑ ุฅู„ู‰ ุฃู† ุนู…ู„ูŠ
468
+
469
+ 118
470
+ 00:09:52,630 --> 00:10:00,670
471
+ ุงู„ู…ุณุชู‚ุจู„ ุฃูƒุชุฑ ู…ู† ุฃูˆ ุฃูƒุชุฑ ู…ู† 52$ ุทุจุนู‹ุง
472
+
473
+ 119
474
+ 00:10:00,670 --> 00:10:05,310
475
+ ุฅุฌุงุจุฉ ุตุญูŠุญุฉ ุงู„ุชูŠ ุฃุนุทุงู†ูŠู‡ุง ุงู„ูƒุชุงุจ ู‡ู†ุง ู‡ูˆ 0.2937 ู‡ุฐุง
476
+
477
+ 120
478
+ 00:10:05,310 --> 00:10:10,320
479
+ ู‡ูˆ ุงู„ู†ุชูŠุฌุฉ ุงู„ุตุญูŠุญุฉุทุจุนุง ุงุญู†ุง ุทู„ุนู†ุง 25 person ูˆุญูƒูŠู†ุง
480
+
481
+ 121
482
+ 00:10:10,320 --> 00:10:14,160
483
+ ุงูƒุจุฑ ู…ู† ุงู„ 25 ูุจุญู†ุง ุชู‚ุฑูŠุจุง ุญุงู„ู†ุง ู…ุงุดูŠุฉ ุนู„ู‰ ู†ูุณ
484
+
485
+ 122
486
+ 00:10:14,160 --> 00:10:21,300
487
+ ุงู„ูˆุซูŠู‚ุฉ ู‡ุฐุง ูƒุงู† ุจุงู„ู†ุณุจุฉ ู„ู„ุฌุฒุก ุงู„ู„ูŠ ุชุจู‚ู‰ ุงู…ุจุงุฑุญ ููŠ
488
+
489
+ 123
490
+ 00:10:21,300 --> 00:10:27,300
491
+ ุงูŠ ุณุคุงู„ุŸ ุทุจ ู…ูˆุถูˆุน ุงู„ูŠูˆู…ุŒ ู…ูˆุถูˆุน ุงู„ูŠูˆู… ู‡ูŠุญูƒูŠ ุนู„ู‰
492
+
493
+ 124
494
+ 00:10:27,300 --> 00:10:31,580
495
+ ู…ูˆุถูˆุน ู…ู‡ู… ุงู„ู„ูŠ ู‡ูˆ hypothesis test for proportions
496
+
497
+ 125
498
+ 00:10:34,990 --> 00:10:39,710
499
+ ุฎู„ุงุต ู‡ุจุฏุฃ ู…ูˆุถูˆุน ุฌุฏูŠุฏ I put this test for in
500
+
501
+ 126
502
+ 00:10:39,710 --> 00:10:43,410
503
+ proportions ู‡ุนุทูŠูƒูŠ ููƒุฑุฉ ุนู„ู‰ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ูุงุช
504
+
505
+ 127
506
+ 00:10:43,410 --> 00:10:47,830
507
+ ูˆู…ูˆุถูˆุน ุงู„ูŠูˆู… ุงู„ูู„ุงูˆุฉ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ูƒุงู†ุช ู†ุณุชุฎุฏู… ูƒู„ุงู…
508
+
509
+ 128
510
+ 00:10:47,830 --> 00:10:53,630
511
+ ุนู„ู‰ numerical values ุฒูŠ phone bills ุฒูŠ ุงู„ wages ุฒูŠ
512
+
513
+ 129
514
+ 00:10:53,630 --> 00:10:59,970
515
+ ุงู„ ages ุฒูŠ ุงู„ weights and so on so we focus on
516
+
517
+ 130
518
+ 00:10:59,970 --> 00:11:03,260
519
+ population meansู„ุฐุง ุงุชูƒู„ู…ู†ุง ุนู„ู‰ ุงู„ุจุงุจูˆู†ูŠุด ุงู„ู€ main
520
+
521
+ 131
522
+ 00:11:03,260 --> 00:11:07,680
523
+ ูˆูƒู†ุง ุจู†ุญูƒูŠ ุนู„ูŠู‡ุด ุนู„ู‰ data numeric ู…ุชุบูŠุฑุงุช ุฑู‚ู…ูŠุฉ
524
+
525
+ 132
526
+ 00:11:07,680 --> 00:11:13,560
527
+ ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ ู…ู† ุงู„ data ุงู„ู„ูŠ ู‡ูŠ ุจู†ุช ู…ุด ุฑู‚ู…ูŠุฉ ู…ุณู…ู‰
528
+
529
+ 133
530
+ 00:11:13,560 --> 00:11:17,020
531
+ qualitative data ูุงู„ qualitative ุจูŠู†ูุนุด ู†ุณุชุฎุฏู… ุงู„
532
+
533
+ 134
534
+ 00:11:17,020 --> 00:11:21,180
535
+ main ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ููŠ chapter 7 ุฃุฎุฏู†ุง sampling
536
+
537
+ 135
538
+ 00:11:21,180 --> 00:11:24,620
539
+ distribution ู„ ุงู„ main ูˆ sampling distribution ู„
540
+
541
+ 136
542
+ 00:11:24,620 --> 00:11:29,900
543
+ ุงู„ main ุฃุฎุฏู†ุง ุดุบู„ุชูŠู† sampling ู„ ุงู„ main ูˆ ุงู„ main
544
+
545
+ 137
546
+ 00:11:29,900 --> 00:11:30,340
547
+ ุงู„ุชุงู†ูŠุฉ
548
+
549
+ 138
550
+ 00:11:35,000 --> 00:11:37,400
551
+ ุฃุฎุฏู†ุง ุงู„ู€ Sampling Distribution of the Sample Mean
552
+
553
+ 139
554
+ 00:11:37,400 --> 00:11:41,500
555
+ ูˆ ู„ู„ู€ Proportion ุจุฑุถู‡ ู„ุฃู† ู†ูุณ ุงู„ุฌุฒุก ุณู†ุงุฎุฏ ุงู„ู€
556
+
557
+ 140
558
+ 00:11:41,500 --> 00:11:46,280
559
+ Hypothesis Test for Proportions ุฅุฐุง ู‡ุฐุง ุงู„ุฌุฒุก
560
+
561
+ 141
562
+ 00:11:46,280 --> 00:11:48,860
563
+ ุงู„ุชุงู†ูŠ ู„ู†ุฎุชู…ู‡ ุจู€ Chapter 9
564
+
565
+ 142
566
+ 00:12:19,140 --> 00:12:21,620
567
+ ุจุณ ู‡ุชุดูˆู ุงู„ู†ุฌู„ุฉ ู…ู† ุนู†ุฏ ุงุจุญุธู‡ุง
568
+
569
+ 143
570
+ 00:12:47,410 --> 00:12:55,310
571
+ ุณู†ู‚ูˆู… ุจุงุฎุชูŠุงุฑ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ
572
+
573
+ 144
574
+ 00:12:55,310 --> 00:13:01,630
575
+ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ
576
+
577
+ 145
578
+ 00:13:01,630 --> 00:13:04,830
579
+ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
580
+
581
+ 146
582
+ 00:13:04,830 --> 00:13:05,430
583
+ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ
584
+
585
+ 147
586
+ 00:13:05,430 --> 00:13:06,300
587
+ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒุงู„ูˆุงุญุฏ
588
+
589
+ 148
590
+ 00:13:06,300 --> 00:13:11,080
591
+ ู„ู„ู…ูŠุฒุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ ูˆุงู„ุงุฎุฑ ู„ู…ูŠุฒุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ
592
+
593
+ 149
594
+ 00:13:11,080 --> 00:13:17,680
595
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ูŠุฌุจ ุฃู† ุชู‚ุฑุฑ ุจูŠู† ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ
596
+
597
+ 150
598
+ 00:13:17,680 --> 00:13:18,200
599
+ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ
600
+
601
+ 151
602
+ 00:13:18,200 --> 00:13:18,440
603
+ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ
604
+
605
+ 152
606
+ 00:13:18,440 --> 00:13:33,500
607
+ ุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„
608
+
609
+ 153
610
+ 00:13:34,820 --> 00:13:37,520
611
+ ู„ู„ุนูŠู†ุงุช ู„ู„ statistics ุฒูŠ ุงู„ sample mean ุฃูˆ ุงู„
612
+
613
+ 154
614
+ 00:13:37,520 --> 00:13:41,340
615
+ sample proportion ู„ูƒู† ู„ู…ุง ุงุชูƒู„ู… ุนู† ุงู„ testing ุงูˆ
616
+
617
+ 155
618
+ 00:13:41,340 --> 00:13:44,820
619
+ hypothesis testing ุจุชูƒูˆู† is about ุงู„ population
620
+
621
+ 156
622
+ 00:13:44,820 --> 00:13:47,980
623
+ parameter ูˆุงุถุญุŸ ูุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ุงู„ sampling
624
+
625
+ 157
626
+ 00:13:47,980 --> 00:13:51,320
627
+ distribution ุจุชูƒู„ู… ุนู„ู‰ ุงู„ sample statistic ู‡ู†ุง
628
+
629
+ 158
630
+ 00:13:51,320 --> 00:13:54,160
631
+ ุจุชูƒู„ู… ุนู† ุงู„ population parameters ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู†
632
+
633
+ 159
634
+ 00:13:54,160 --> 00:13:59,630
635
+ ุงู„ุงุชู†ูŠู†ุงู„ .. ุงู„ proportion ู…ุน ูƒุฏู‡ these problems
636
+
637
+ 160
638
+ 00:13:59,630 --> 00:14:03,210
639
+ involve categorical variables ูŠูƒูˆู† ุนู†ุฏู‰ ุงู„ู…ุชุบูŠุฑุงุช
640
+
641
+ 161
642
+ 00:14:03,210 --> 00:14:07,550
643
+ ู…ุด ูƒู…ูŠุฉ ู†ูˆุนูŠุฉ in this case there are two possible
644
+
645
+ 162
646
+ 00:14:07,550 --> 00:14:12,870
647
+ outcomes ููŠ ุนู†ุฏู‰ ู†ุชุฌุชูŠู† possesses characteristic
648
+
649
+ 163
650
+ 00:14:12,870 --> 00:14:17,170
651
+ of interest or does not possess characteristic of
652
+
653
+ 164
654
+ 00:14:17,170 --> 00:14:22,720
655
+ interest for example supposeุฃุณุฃู„ ุณุคุงู„ ู‡ู„ ุชูุถู„ ู‡ุฐุง
656
+
657
+ 165
658
+ 00:14:22,720 --> 00:14:28,420
659
+ ุงู„ู†ูˆุน ู…ู† ุงู„ู‚ู‡ูˆุฉุŸ ูุงู„ุฌูˆุงุจ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงู…ุง ู†ุนู… ุงูˆ
660
+
661
+ 166
662
+ 00:14:28,420 --> 00:14:36,820
663
+ ู„ุงุŒ ูู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุงู…ุง ู†ุนู… ุงูˆ ู„ุง. ู†ุฌุงุญ ุงูˆ ุฎุณุงุฑุฉุŸ
664
+
665
+ 167
666
+ 00:14:36,820 --> 00:14:40,840
667
+ ุงุชูู‚ ุฃูˆ ู„ุง ุงุชูู‚ุŸ ู‡ุฐุง ุงู„ู†ูˆุน ู…ู† ุงู„ุณุคุงู„ูŠู† ูŠุนู†ูŠ ุงู†
668
+
669
+ 168
670
+ 00:14:40,840 --> 00:14:46,260
671
+ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุงูˆ ู„ุง ุงุชูู‚ุŸ ู†ุชูŠุฌุชูŠู† ูˆุงุญุฏุฉ ุงู†ุง ู…ู‡ุชู…
672
+
673
+ 169
674
+ 00:14:46,260 --> 00:14:47,960
675
+ ุจู‡ุง ู†ุฌุงุญ
676
+
677
+ 170
678
+ 00:14:50,190 --> 00:14:56,950
679
+ Success or fail the exam fraction or proportion of
680
+
681
+ 171
682
+ 00:14:56,950 --> 00:14:59,490
683
+ the population in the category of interest is
684
+
685
+ 172
686
+ 00:14:59,490 --> 00:15:08,230
687
+ denoted by ุจุงูŠ ุจู†ุงุฎุฏ ุจุงูŠ ุงู„ population proportion
688
+
689
+ 173
690
+ 00:15:08,230 --> 00:15:11,490
691
+ ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ููŠ ุดุจุชุฑ ุณุจุนุฉ ุจุงูŠ ูƒุงู†ุช population
692
+
693
+ 174
694
+ 00:15:11,490 --> 00:15:15,110
695
+ proportion ุจุฑุถู‡ ุจู†ุงุฎุฏ ุจุงูŠ ุนุจุงุฑุฉ ุนู† population
696
+
697
+ 175
698
+ 00:15:15,110 --> 00:15:20,800
699
+ proportion and in general this ุจุงูŠู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1
700
+
701
+ 176
702
+ 00:15:20,800 --> 00:15:24,440
703
+ ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1
704
+
705
+ 177
706
+ 00:15:24,440 --> 00:15:27,700
707
+ ู…ู‚ุงุฑู†ุฉ
708
+
709
+ 178
710
+ 00:15:27,700 --> 00:15:30,600
711
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
712
+
713
+ 179
714
+ 00:15:30,600 --> 00:15:31,060
715
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
716
+
717
+ 180
718
+ 00:15:31,060 --> 00:15:31,080
719
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
720
+
721
+ 181
722
+ 00:15:31,080 --> 00:15:31,580
723
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
724
+
725
+ 182
726
+ 00:15:31,580 --> 00:15:37,300
727
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ
728
+
729
+ 183
730
+ 00:15:40,480 --> 00:15:43,200
731
+ ุจ ูŠุนู†ูŠ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
732
+
733
+ 184
734
+ 00:15:43,200 --> 00:15:44,100
735
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
736
+
737
+ 185
738
+ 00:15:44,100 --> 00:15:46,240
739
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
740
+
741
+ 186
742
+ 00:15:46,240 --> 00:15:46,860
743
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
744
+
745
+ 187
746
+ 00:15:46,860 --> 00:15:48,080
747
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
748
+
749
+ 188
750
+ 00:15:48,080 --> 00:15:52,600
751
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
752
+
753
+ 189
754
+ 00:15:52,600 --> 00:16:06,600
755
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
756
+
757
+ 190
758
+ 00:16:06,600 --> 00:16:13,500
759
+ ุจูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุจูŠ ูŠู…ูƒู†
760
+
761
+ 191
762
+ 00:16:13,500 --> 00:16:14,880
763
+ ุฃู† ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
764
+
765
+ 192
766
+ 00:16:14,880 --> 00:16:16,400
767
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
768
+
769
+ 193
770
+ 00:16:16,400 --> 00:16:18,900
771
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
772
+
773
+ 194
774
+ 00:16:18,900 --> 00:16:20,800
775
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
776
+
777
+ 195
778
+ 00:16:20,800 --> 00:16:23,560
779
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
780
+
781
+ 196
782
+ 00:16:23,560 --> 00:16:28,800
783
+ ุนู† ุนุจุงุฑุฉ
784
+
785
+ 197
786
+ 00:16:28,800 --> 00:16:38,640
787
+ ุนู† ุนุจุงุฑ
788
+
789
+ 198
790
+ 00:16:40,480 --> 00:16:48,840
791
+ ุงู„ุงู† ุฏุนู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงู† ู†ุญุตู„ ุนู„ู‰ ู…ู‚ุงุฑู†ุฉ Z ููŠ
792
+
793
+ 199
794
+ 00:16:48,840 --> 00:16:52,680
795
+ ุงู„ุญู„ู‚ู‡ 3 ู…ู‚ุงุฑู†ุฉ
796
+
797
+ 200
798
+ 00:16:52,680 --> 00:16:56,640
799
+ Z ูƒุงู†ุช X ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† ู…ู‚ุงุฑู†ุฉ X ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† Sigma
800
+
801
+ 201
802
+ 00:16:56,640 --> 00:17:06,460
803
+ ู‡ุฐุง ูƒุงู† ููŠ ุงู„ุญู„ู‚ู‡ 3 ุงู„ุขู† ููŠ ุงู„ุญู„ู‚ู‡ 9 ู†ุญู† ู†ุชูƒู„ู… ุนู†
804
+
805
+ 202
806
+ 00:17:08,090 --> 00:17:11,130
807
+ ุฒูŠ statistic which is now we have to replace this
808
+
809
+ 203
810
+ 00:17:11,130 --> 00:17:16,590
811
+ b with this x by b so b minus the mean of b
812
+
813
+ 204
814
+ 00:17:16,590 --> 00:17:19,990
815
+ divided by sigma b if you look at this new formula
816
+
817
+ 205
818
+ 00:17:19,990 --> 00:17:27,510
819
+ it looks like this one except we replace x by b ุจุณ
820
+
821
+ 206
822
+ 00:17:27,510 --> 00:17:32,950
823
+ ุงุณุชุจุฏุงู„ุช x ุจุงู„ b ูˆ ุงู„ู…ูŠูˆู„ ุจูŠู‡ุง ุจูŠ ูˆ ุงู„ sigma ุจูŠู‡ุง
824
+
825
+ 207
826
+ 00:17:32,950 --> 00:17:35,310
827
+ ุจูŠู‡ุง ุจุงู„ุชุงู„ุฉ ุงุฐุง ูƒุชุจ ุฒูŠ statistic
828
+
829
+ 208
830
+ 00:17:38,200 --> 00:17:41,380
831
+ ู…ุดูŠ ุฌุฏูŠุฏ ุจุงู„ู†ุณุจุงู„ูŠ ู„ุญุธุฉ ุฃู†ุง ุจุนู…ู„ combination
832
+
833
+ 209
834
+ 00:17:41,380 --> 00:17:45,420
835
+ between chapter 3 and chapter 7 ูˆ ุจุญุท ุงู„ result
836
+
837
+ 210
838
+ 00:17:45,420 --> 00:17:48,600
839
+ chapter 9 ูˆุงุถุญ ูƒูŠูุŸ ุฅุฐุง ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุซู„ุงุซุฉ ุฃูˆ
840
+
841
+ 211
842
+ 00:17:48,600 --> 00:17:54,600
843
+ ุฎุฏู†ุงู‡ุง ููŠ ุณุจุนุฉ ุจู†ูƒู…ู„ู‡ ููŠ ุงู„ุชุณุนุฉ ูุงู„ุชุงู„ุฉ ุฃุซุฑุช ุจูŠ ุงู„
844
+
845
+ 212
846
+ 00:17:54,600 --> 00:18:00,040
847
+ mean ู„ู„ ุจูŠู‡ ุจูŠู‡ ูˆ ุงู„ sigma ู„ู„ ุจูŠู‡ ู‡ูŠู‡ ุฃู†ุง ููŠ
848
+
849
+ 213
850
+ 00:18:00,040 --> 00:18:03,940
851
+ ุงู…ุชุญุงู† ุจุฃุนุทูŠูƒูŠุด ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุฎุงู„ุต ู‡ุฐุง ุจุฃุนุทูˆู‡ุงุด
852
+
853
+ 214
854
+ 00:18:03,940 --> 00:18:10,630
855
+ ุจุฃุนุทูŠ ุฃุฒูŠ ุงู„ุฃุณุงุณ ุชุจุนุชู†ุงูˆุจุนุทูŠ ุงู„ู€ mean ู„ู„ ุจูŠ ูˆ ุงู„
856
+
857
+ 215
858
+ 00:18:10,630 --> 00:18:14,510
859
+ sigma ู„ู„ ุจูŠ ูˆ ุงู†ุช ุจุชุฑูƒุจูŠู‡ู… ู…ุน ุจุนุถ ุงู„ู„ูŠ ุงู†ุง ุจู†ุตุญูƒ
860
+
861
+ 216
862
+ 00:18:14,510 --> 00:18:17,970
863
+ ุชุฑูƒุจูŠู‡ู… ู…ุด ุนู„ู‰ ุจุนุถ ุทู„ุน ุงู„ mean ู„ู„ ุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„
864
+
865
+ 217
866
+ 00:18:17,970 --> 00:18:21,790
867
+ ุจุงูŠ ู„ุญุงู„ู‡ุง ูˆ ุทู„ุน ุงู„ sigma ู„ู„ ุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
868
+
869
+ 218
870
+ 00:18:21,790 --> 00:18:27,470
871
+ ูˆ ุจุนุฏูŠู† ุฏุฎู„ูŠู‡ู… ููŠ ุจุนุถ ู‡ูŠูƒ ุงู„ุณู„ุงู„ุฉ ุงุฐุง ู‡ุฐูŠ
872
+
873
+ 219
874
+ 00:18:27,470 --> 00:18:30,690
875
+ statistic ุจูŠ minus ุจุงูŠ over ุจุงูŠ one minus ุจุงูŠ over
876
+
877
+ 220
878
+ 00:18:30,690 --> 00:18:35,030
879
+ n ุงู„ test
880
+
881
+ 221
882
+ 00:18:37,630 --> 00:18:44,350
883
+ ู‡ูŠ 0 ุถุฏ ูƒู„ ูˆุงุญุฏ ู„ูƒูŠ ู†ุญุตู„ ุนู„ู‰ ู†ุชูŠุฌุฉ ุฌูŠุฏุฉ ุฃูˆ ู†ุชูŠุฌุฉ
884
+
885
+ 222
886
+ 00:18:44,350 --> 00:18:48,530
887
+ ุตุญูŠุญุฉ ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง ุงู„ุงุซู†ูŠู† ุงู„ูˆุงุถุญูŠู† ู…ูู‡ูˆู…ูŠู† ู† ููŠ
888
+
889
+ 223
890
+ 00:18:48,530 --> 00:18:53,530
891
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„
892
+
893
+ 224
894
+ 00:18:53,530 --> 00:19:00,270
895
+ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5
896
+
897
+ 225
898
+ 00:19:00,270 --> 00:19:00,390
899
+ ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
900
+
901
+ 226
902
+ 00:19:00,390 --> 00:19:00,830
903
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„
904
+
905
+ 227
906
+ 00:19:00,830 --> 00:19:01,270
907
+ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5
908
+
909
+ 228
910
+ 00:19:01,270 --> 00:19:03,550
911
+ ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
912
+
913
+ 229
914
+ 00:19:03,550 --> 00:19:04,390
915
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
916
+
917
+ 230
918
+ 00:19:07,810 --> 00:19:11,810
919
+ this case is not discussed in this chapter ูŠุนู†ูŠ ู„ูˆ
920
+
921
+ 231
922
+ 00:19:11,810 --> 00:19:15,870
923
+ ูƒุงู† ุงู„ุดุฑุท ูŠุนู†ูŠ ู…ุด ู…ุชุญู‚ู‚ูŠู† ุญุชู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ู…ุด ู‡ูƒู…ู„
924
+
925
+ 232
926
+ 00:19:15,870 --> 00:19:21,230
927
+ ู„ุฃู† ุงู„ุฌุฒุก ู‡ุฐุง ู…ุด ู…ุดุฑูˆุน ููŠ ุงู„ class ุทุจุนุง ุฅุฐุง ุนุดุงู†
928
+
929
+ 233
930
+ 00:19:21,230 --> 00:19:23,690
931
+ ุฃุณุงุณ ุฃู‚ุฏุฑ ู†ุนู…ู„ ุงู„ proceeding ู„ู„ู…ุซู„ุฉ ู„ุงุฒู… ูŠูƒูˆู†
932
+
933
+ 234
934
+ 00:19:23,690 --> 00:19:28,110
935
+ under two conditions ู‡ุฏูˆู„ ู…ุง ู„ู‡ู… satisfied
936
+
937
+ 235
938
+ 00:19:33,570 --> 00:19:38,790
939
+ ุงู„ู€ Z statistic ู…ู…ูƒู† ุงูƒุชุจู‡ ุจุดูƒู„ ุจุฏู„ ู…ูƒุชุจ B ู…ู…ูƒู†
940
+
941
+ 236
942
+ 00:19:38,790 --> 00:19:45,290
943
+ ุงูƒุชุจ X ุจุฏู„ู‡ุง ู…ุทู„ุน ุงู„ X ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ ุงู„ X ุนุจุงุฑุฉ ุนู†
944
+
945
+ 237
946
+ 00:19:45,290 --> 00:19:52,890
947
+ ู…ูŠู†ุŸ N times B ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ุงู„ X ู„ุญุงู„ู‡ุง N times B
948
+
949
+ 238
950
+ 00:19:52,890 --> 00:19:59,010
951
+ ู…ุนุงูƒุฏ ุงู†ุง ู„ูˆ ุงุฌูŠุช ุถุฑุจุช ูƒู„ ู‡ุฏู N ุจุณุท ู…ู‚ุงู… ุจุทู„ุน
952
+
953
+ 239
954
+ 00:19:59,010 --> 00:20:07,830
955
+ ู…ุนุงุฏูŠ ุงู„ form ู„ุญุงุฌุฉ ุฒูŠ ู‡ูŠX-NYยฒNY1-Y ู‡ุฐูŠ ูุฑุตุฉ ุฃุฎุฑู‰
956
+
957
+ 240
958
+ 00:20:07,830 --> 00:20:17,890
959
+ ู…ุชุดุงุจู‡ุฉ ู„ู‡ุฐุง ุงู„ู€ Z-score ุงู†ู‡ุง ุชุนุชู…ุฏ ุนู„ู‰ X X-NYยฒNY1
960
+
961
+ 241
962
+ 00:20:17,890 --> 00:20:21,830
963
+ -Y ู‡ุฐู‡ ุงู„ูุฑุตุชูŠู† ู…ุชุดุงุจู‡ุฉ ุจุดูƒู„ ู†ูุณูŠ ู„ุฐุง ูŠู…ูƒู†ูƒ
964
+
965
+ 242
966
+ 00:20:21,830 --> 00:20:28,460
967
+ ุงุณุชุฎุฏุงู… ุงูˆ B-Y ุนุจุฑ ู‡ุฐุง ุงู„ุดุฎุต ู†ุญู† ู†ุญุจ ุงุณุชุฎุฏุงู…ู‡ุฐู‡
968
+
969
+ 243
970
+ 00:20:28,460 --> 00:20:31,300
971
+ ุงู„ููˆุฑู…ูˆู„ุฉ ุฃูˆ ุจุฅู…ูƒุงู†ูƒ ุงุณุชุฎุฏุงู… ุงูƒุณ ู…ุงู†ูˆุณ ุงู† ุจุงูŠ ุนุจุฑ
972
+
973
+ 244
974
+ 00:20:31,300 --> 00:20:35,760
975
+ ุงู† ุจุงูŠ ูˆุงุญุฏ ู…ุงู†ูˆุณ ุจุงูŠ ุงู„ุงุฎุชุตุงุฑุงุช ู‡ู†ุง ุงูƒุณ ุนู„ู‰ ุงู„ุฃู‚ู„
976
+
977
+ 245
978
+ 00:20:35,760 --> 00:20:42,760
979
+ ุฎู…ุณุฉ ูˆุงู† ู…ุงู†ูˆุณ ุงูƒุณ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณุฉ ุงุฐุง ูƒู†ุช ุชู‚ุงุฑู†
980
+
981
+ 246
982
+ 00:20:42,760 --> 00:20:50,880
983
+ ู‡ุฐู‡ ุงู„ุงุฎุชุตุงุฑุงุช ู…ุน ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุฌุฏูŠุฏุฉ ุงู† ุจูŠ ุนุจุงุฑุฉ
984
+
985
+ 247
986
+ 00:20:50,880 --> 00:20:56,360
987
+ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู† ุจูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู† ุจูŠ
988
+
989
+ 248
990
+ 00:20:56,360 --> 00:21:01,300
991
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู†ู† ุจูŠ ูŠุนู†ูŠ ู‡ุฐู‡ ุตุงุฑุช ู† ุจุงูŠ
992
+
993
+ 249
994
+ 00:21:01,300 --> 00:21:06,600
995
+ ุนุจุงุฑุฉ ุนู† ูƒู„ ุนุจุงุฑุฉ ุนู† x ูˆู‡ุฐู‡ ู„ูˆ ุทู„ุนุชู‡ุง ู‡ุฐู‡ n minus
996
+
997
+ 250
998
+ 00:21:06,600 --> 00:21:11,880
999
+ n ุจุงูŠ ู…ุด ุดุงูŠู ุงู„ n times n minus ุจุงูŠ ู‡ูŠ n minus ุงู„
1000
+
1001
+ 251
1002
+ 00:21:11,880 --> 00:21:16,180
1003
+ n ุจุงูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ x ู…ู…ูƒู† ุฃุญูƒูŠ ุฅู…ุง x
1004
+
1005
+ 252
1006
+ 00:21:16,180 --> 00:21:20,440
1007
+ ุฃูƒุจุฑ ู…ู† ุณุงุนุฉ ุฎู…ุณุฉ and n minus x at least five or
1008
+
1009
+ 253
1010
+ 00:21:20,440 --> 00:21:23,920
1011
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ ููŠ ุงู„ุฃูˆู„ n times b ุฃูˆ n times one
1012
+
1013
+ 254
1014
+ 00:21:23,920 --> 00:21:27,740
1015
+ minus bู‡ุฏูˆู„ุฉ two equivalent formulas either you
1016
+
1017
+ 255
1018
+ 00:21:27,740 --> 00:21:33,100
1019
+ use X minus N by over square root N by one minus Y
1020
+
1021
+ 256
1022
+ 00:21:33,100 --> 00:21:37,060
1023
+ or the previous one which we are familiar with B
1024
+
1025
+ 257
1026
+ 00:21:37,060 --> 00:21:40,620
1027
+ minus Y ุนู„ู‰ square root Y one minus Y over N ุฅุฐุง
1028
+
1029
+ 258
1030
+ 00:21:40,620 --> 00:21:46,180
1031
+ ุจุณุชุฎุฏู… ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ุฃุชู†ูŠู† ุตุญ ู‡ู†ุงุฎุฏ
1032
+
1033
+ 259
1034
+ 00:21:46,180 --> 00:21:54,000
1035
+ example ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ูˆุญุฏ
1036
+
1037
+ 260
1038
+ 00:21:54,000 --> 00:21:54,960
1039
+ ูŠุฌู„ุณ ุงู„ู…ุซุงู„
1040
+
1041
+ 261
1042
+ 00:21:57,750 --> 00:22:02,270
1043
+ ุฃู…ุงูƒู† ุงู„ู€ company ุจุชุนุฑู ุฃู†ู‡ุง ุชุญุตู„ ุนู„ู‰ 8 ุดุฎุต ูˆ 5
1044
+
1045
+ 262
1046
+ 00:22:02,270 --> 00:22:07,170
1047
+ ู…ุณุชุฎุฏู… ู…ู† ุฎู„ุงู„ ุณู†ุฉ ูŠุนู†ูŠ ููŠ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ู…ุฌู…ูˆุนุฉ
1048
+
1049
+ 263
1050
+ 00:22:07,170 --> 00:22:15,950
1051
+ ู…ุฎุชู„ูุฉ ู…ู† 500 ู…ุณุชุฎุฏู… ุงุณุชู‚ุจู„ุช ู…ุน 25 ู…ุณุชุฎุฏู… ุชุณุนุฉ ุฃู„ู
1052
+
1053
+ 264
1054
+ 00:22:15,950 --> 00:22:20,830
1055
+ ูˆุฎู…ุณุฉ ูˆูŠู…ูŠู† ุณู†ุฉ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1056
+
1057
+ 265
1058
+ 00:22:20,830 --> 00:22:23,470
1059
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1060
+
1061
+ 266
1062
+ 00:22:23,470 --> 00:22:27,450
1063
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1064
+
1065
+ 267
1066
+ 00:22:27,450 --> 00:22:27,470
1067
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1068
+
1069
+ 268
1070
+ 00:22:27,470 --> 00:22:31,230
1071
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุดุฑูƒุงุช ู…ุนูŠู†ุฉ ุงูุชุฑุถ ุงู„ response
1072
+
1073
+ 269
1074
+ 00:22:31,230 --> 00:22:35,270
1075
+ ุชุจุนู‡ู… ู…ู…ูƒู† ูŠูƒูˆู† low ูŠุนู†ูŠ ุงู„ู†ุงุณ ู„ู…ุง ุชุณุชุฌูŠุจ ู…ุด ุงู„ูƒู„
1076
+
1077
+ 270
1078
+ 00:22:35,270 --> 00:22:41,050
1079
+ ู‡ูŠุนุจูŠ ุงู„ุงุณุชุฌุงุจุฉ ู…ุด ู‡ูŠูƒ ุงู„ marketing company claims
1080
+
1081
+ 271
1082
+ 00:22:41,050 --> 00:22:45,390
1083
+ that ุชุชุฏุนูŠ ุงู†ู‡ it receives eight percent responses
1084
+
1085
+ 272
1086
+ 00:22:45,390 --> 00:22:50,310
1087
+ from its mailing ู„ู…ุง ุจูŠุจุนุชูˆุง mailing ุจูŠุจุนุชูˆุง ุจุฑูŠุฏ
1088
+
1089
+ 273
1090
+ 00:22:50,310 --> 00:22:56,050
1091
+ ุจูŠุฌูŠู‡ู… ุงู„ุฑุฏ ุจุณ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ุฑุฏูˆุฏ ูƒู„ู‡ุงto
1092
+
1093
+ 274
1094
+ 00:22:56,050 --> 00:22:59,510
1095
+ test this claim ุนุดุงู† ูŠุฎุชุจุฑูˆุง ู‡ุฐุง ุงู„ุงุฏุนุงุก a random
1096
+
1097
+ 275
1098
+ 00:22:59,510 --> 00:23:05,110
1099
+ sample of 500 were surveyed ูŠุนู†ูŠ ุชู… ุงุณุชุทู„ุงุน ุงูˆ ู…ุณุญ
1100
+
1101
+ 276
1102
+ 00:23:05,110 --> 00:23:10,090
1103
+ ู„ 500 ูˆุงุญุฏ with 25 responses ูˆุงู„ู„ูŠ ุฌุงูˆุจ ู‚ุฏุงุดุŸ 25
1104
+
1105
+ 277
1106
+ 00:23:10,090 --> 00:23:13,690
1107
+ ุฅุฐุง ู‡ูˆ ู‡ูŠุฌุงูˆุจ ุฃูˆ ู…ุด ู‡ูŠุฌุงูˆุจ ูุจุงู„ุชุงู„ูŠ ูƒู„ ูˆุงุญุฏุฉ ุงู„ู„ูŠ
1108
+
1109
+ 278
1110
+ 00:23:13,690 --> 00:23:18,170
1111
+ ู„ู‡ุง two possible outcomes either response or don't
1112
+
1113
+ 279
1114
+ 00:23:18,170 --> 00:23:22,810
1115
+ responseุฎู„ู‘ูŠู†ูŠ ุฃุชุทู„ุน ุนู„ู‰ ุงู„ information ุงู„ู„ูŠ
1116
+
1117
+ 280
1118
+ 00:23:22,810 --> 00:23:28,570
1119
+ ู…ูˆุฌ๏ฟฝ๏ฟฝุฏุฉ ุนู†ุฏูƒ ููŠ ุงู„ุฃูˆู„ุŒ ุฅูŠุด ุงู„ test ู‡ุชูƒูˆู†ุŸ ู…ูŠูˆ equal
1120
+
1121
+ 281
1122
+ 00:23:28,570 --> 00:23:33,230
1123
+ ูˆ ู„ุง ุจุงูŠ equalุŸ ู…ู‡ู… ุฌุฏุง ุฃุนุฑู ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ู…ูŠูˆ ูˆู„ุง
1124
+
1125
+ 282
1126
+ 00:23:33,230 --> 00:23:37,890
1127
+ ุจุงูŠุŸ ุนู„ู‰ ุจุงูŠุŒ ู…ุธุจูˆุท ู„ุฃู† ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ุงู„
1128
+
1129
+ 283
1130
+ 00:23:37,890 --> 00:23:40,970
1131
+ proportion of what we are talking about ุจุงูŠ ุฅุฐุง ุงู„
1132
+
1133
+ 284
1134
+ 00:23:40,970 --> 00:23:48,430
1135
+ ุจุงูŠ equal 8% ุทุจ ูˆ ุงู„ H1ุŸ ู…ุงุญูƒูŠู‡ุงุด ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ุŒ
1136
+
1137
+ 285
1138
+ 00:23:48,430 --> 00:23:55,180
1139
+ ู…ุงููŠุด ู…ุนุชุจุฑู‡ุงุŸู„ุงูŠู‡ ู…ุชุณุงูˆูŠุŸ a random sample of size
1140
+
1141
+ 286
1142
+ 00:23:55,180 --> 00:24:03,760
1143
+ 500 ู…ุธุจูˆุทุŸ ุฃูƒู…ู„ ูˆุงุญุฏ ุญูƒุงูŠุฉ ุฃูˆ responseุŸ 8x5 ุฃูˆู„ ุดูŠ
1144
+
1145
+ 287
1146
+ 00:24:03,760 --> 00:24:07,000
1147
+ ุจุชุฃูƒุฏ ู…ู† ุงู„ two conditions ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ู„ูŠ ู‡ูŠ n
1148
+
1149
+ 288
1150
+ 00:24:07,000 --> 00:24:16,800
1151
+ times y 500 times 8 ู„ูˆ ุถุฑุฑุช 5 ููŠ 8 ุจุทู„ุน ุงู„ 40 ุทุจ ูˆ
1152
+
1153
+ 289
1154
+ 00:24:16,800 --> 00:24:24,010
1155
+ n times 1 minus y ู…ู† ุบูŠุฑ ู…ุญุณุจุฉ ู…ุด ู…ุชุณุงูˆูŠุŸุงู„ู„ูŠ ู‡ูŠ n
1156
+
1157
+ 290
1158
+ 00:24:24,010 --> 00:24:29,190
1159
+ times one minus pi ู…ู† ุบูŠุฑ ู…ุง ู†ุญุณุจู‡ุง ุงู„ู„ูŠ
1160
+
1161
+ 291
1162
+ 00:24:29,190 --> 00:24:34,170
1163
+ ู‡ูŠ ุงู„ complement ู„ู„ุฎู…ุณู…ูŠุฉ ู…ุธุจูˆุท ู…ูƒู…ู„ ุงู„ุฎู…ุณู…ูŠุฉ ุงุฐุง
1164
+
1165
+ 292
1166
+ 00:24:34,170 --> 00:24:38,270
1167
+ ูƒุงู† ุฏูˆู„ุฉ ุงุฑุจุนูŠู† ูˆุนู†ุฏูŠ ุฎู…ุณูŠู† ูˆุทู„ุน ุงุฑุจุน ู…ูŠุฉ ูˆุณุชูŠู† ู„ูˆ
1168
+
1169
+ 293
1170
+ 00:24:38,270 --> 00:24:45,490
1171
+ ุจุชุญุณุจูŠู‡ุง I ุฎู…ุณู…ูŠุฉ of one minus pi ูŠุนู†ูŠ ุฎู…ุณู…ูŠุฉ ููŠ
1172
+
1173
+ 294
1174
+ 00:24:45,490 --> 00:24:50,620
1175
+ ุงุชู†ูŠู† ูˆุชุณุนูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงุฑุจุน ู…ูŠุฉ ูˆุณุชูŠู†ูˆุงุถุญ ุฃู† ู‡ุคู„ุงุก
1176
+
1177
+ 295
1178
+ 00:24:50,620 --> 00:24:57,360
1179
+ ุงู„ุงุชู†ูŠู† ู„ูˆ ุฌู…ุนู†ุงู‡ ู…ุด ุจูŠุทู„ุน ุงู„ุฌูˆุงุจ ู…ู„ูŠุงู†ุฉ
1180
+
1181
+ 296
1182
+ 00:24:57,360 --> 00:24:59,800
1183
+ ู…ุงููŠุด ุฏู„ูˆู‚ุชูŠ ุฃู† ุฃุถุฑุจู‡ุง ู…ู…ูƒู† ุฃุทู„ุน ุงู„ุฌูˆุงุจ ุนู„ู‰ ุทูˆู„
1184
+
1185
+ 297
1186
+ 00:24:59,800 --> 00:25:05,320
1187
+ ุฅุฐุง ูˆุงุถุญ ุงู„ conditions ู…ุง ู„ู‡ู… are satisfied
1188
+
1189
+ 298
1190
+ 00:25:05,320 --> 00:25:08,140
1191
+ because the conditions are n times pi at least 5
1192
+
1193
+ 299
1194
+ 00:25:08,140 --> 00:25:11,740
1195
+ and n times 1 minus pi is at least 5 in this case
1196
+
1197
+ 300
1198
+ 00:25:11,740 --> 00:25:17,580
1199
+ we got 40 and 406 it means the two conditions are
1200
+
1201
+ 301
1202
+ 00:25:17,580 --> 00:25:28,000
1203
+ okayุงู„ุงู† ูŠุฌุจ ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ุณุฃู‚ูˆู…
1204
+
1205
+ 302
1206
+ 00:25:28,000 --> 00:25:35,280
1207
+ ุจุนู…ู„ ุงู„ู…ุดูƒู„ุฉ ุจุงุณุชุฎุฏุงู… ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ู‚ุฑูŠุจุฉ ุซู… ุจุงุณุชุฎุฏุงู…
1208
+
1209
+ 303
1210
+ 00:25:35,280 --> 00:25:42,500
1211
+ ู‚ูŠู…ุฉ P ู‚ุฑูŠุจุฉ ุงู„ุฃู† Alpha 5% ู†ุญู† ู†ุชูƒู„ู… ุนู† ุชุฌุงุฑุจ 2D
1212
+
1213
+ 304
1214
+ 00:25:48,680 --> 00:25:51,180
1215
+ ู‡ู†ุง ูŠูˆุฌุฏ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1216
+
1217
+ 305
1218
+ 00:25:51,180 --> 00:25:52,260
1219
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1220
+
1221
+ 306
1222
+ 00:25:52,260 --> 00:26:01,660
1223
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1224
+
1225
+ 307
1226
+ 00:26:05,360 --> 00:26:09,440
1227
+ ู„ุฐู„ูƒ ุงู„ู…ู†ุงุทู‚ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฃูƒุชุฑ ู…ู† 1.96 ุฃูˆ ุฃูƒุชุฑ ู…ู†
1228
+
1229
+ 308
1230
+ 00:26:09,440 --> 00:26:15,360
1231
+ ู†ู‚ู„ 1.96 ุฅุฐุง ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุชุณู‚ุท ููŠ ู‡ุฐู‡
1232
+
1233
+ 309
1234
+ 00:26:15,360 --> 00:26:18,520
1235
+ ุงู„ู…ู†ุงุทู‚ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŒ ูุณู†ู†ู‚ู„
1236
+
1237
+ 310
1238
+ 00:26:18,520 --> 00:26:24,200
1239
+ ุฅู„ู‰ ุงู„ู‡ูŠุจูˆุช ู†ูุณูŠ ุฏุนูˆู†ุง ู†ุญูƒู… ููŠ ู‡ุฐู‡ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ
1240
+
1241
+ 311
1242
+ 00:26:31,790 --> 00:26:36,970
1243
+ b-y over square root of y 1-y over n ุจูŠุฒ ุงูƒุณ over
1244
+
1245
+ 312
1246
+ 00:26:36,970 --> 00:26:42,350
1247
+ n ุจูŠุฒ ุงูƒุณ
1248
+
1249
+ 313
1250
+ 00:26:42,350 --> 00:26:44,890
1251
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1252
+
1253
+ 314
1254
+ 00:26:44,890 --> 00:26:45,430
1255
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1256
+
1257
+ 315
1258
+ 00:26:45,430 --> 00:26:48,230
1259
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1260
+
1261
+ 316
1262
+ 00:26:48,230 --> 00:26:50,130
1263
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1264
+
1265
+ 317
1266
+ 00:26:50,130 --> 00:26:50,170
1267
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1268
+
1269
+ 318
1270
+ 00:26:50,170 --> 00:26:54,310
1271
+ ุนุดุฑ
1272
+
1273
+ 319
1274
+ 00:26:54,310 --> 00:26:59,350
1275
+ ุนุดุฑ
1276
+
1277
+ 320
1278
+ 00:26:59,350 --> 00:27:07,050
1279
+ ุนุงู„ู„ูŠ ู‡ูŠ square root of pi 1 minus pi over n ุงู„ู„ูŠ
1280
+
1281
+ 321
1282
+ 00:27:07,050 --> 00:27:15,330
1283
+ ู‡ูŠ 8 percent 92 percent over 500 ู…ู…ูƒู† ุชุญุณุจูŠู‡ุง ุฃู†ุง
1284
+
1285
+ 322
1286
+ 00:27:15,330 --> 00:27:19,870
1287
+ ุจูุถู„ ุฃุญุณุจู‡ุง ูˆ ุจุนุฏูŠู† ุฃุญุทู‡ู… ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠ
1288
+
1289
+ 323
1290
+ 00:27:19,870 --> 00:27:24,690
1291
+ point
1292
+
1293
+ 324
1294
+ 00:27:24,690 --> 00:27:27,810
1295
+ zero nine eight times nine
1296
+
1297
+ 325
1298
+ 00:27:31,420 --> 00:27:39,380
1299
+ ุฅุฐุง ุจุงู„ู€ 0.8 ูŠุนู†ูŠ 0.92 ุชู‚ุณูŠู… 500 ุจุทู„ุน ุงู„ square
1300
+
1301
+ 326
1302
+ 00:27:39,380 --> 00:27:43,560
1303
+ root 001472
1304
+
1305
+ 327
1306
+ 00:27:43,560 --> 00:27:47,980
1307
+ ู„ูˆ
1308
+
1309
+ 328
1310
+ 00:27:47,980 --> 00:27:53,420
1311
+ ุทู„ุนู†ุง ุงู„ square root 0
1312
+
1313
+ 329
1314
+ 00:27:53,420 --> 00:27:56,540
1315
+ .0001472
1316
+
1317
+ 330
1318
+ 00:27:56,540 --> 00:28:03,390
1319
+ ุฅูŠุด ุจุทู„ุน ุงู„ุฌูˆุงุจุŸุจุชุทู„ุน ุฌูˆุงุจ ู‡ุฐุง ุงู„ู€ square root
1320
+
1321
+ 331
1322
+ 00:28:03,390 --> 00:28:13,370
1323
+ ู„ู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ
1324
+
1325
+ 332
1326
+ 00:28:13,370 --> 00:28:18,730
1327
+ ู‡ูŠ point zero zero one four seven two ุจุชุทู„ุน ุฌูˆุงุจ
1328
+
1329
+ 333
1330
+ 00:28:18,730 --> 00:28:26,630
1331
+ ูƒุฏู‡ุŸ zero one two ุชู‚ุฑูŠุจุง ุญุณุงุจ ุงู„ุชุฏูˆู„ุŸุฅุฐุง ุฃู†ุง ุจู†ุตุญ
1332
+
1333
+ 334
1334
+ 00:28:26,630 --> 00:28:31,170
1335
+ ุฏู‡ ู…ู† ุฃุนู…ู„ ุฒูŠ ู‡ูŠูƒ ุฃุทู„ุน ุงู„ b ูˆ ุงู„ sigma ู„ู„ b ูˆ
1336
+
1337
+ 335
1338
+ 00:28:31,170 --> 00:28:35,110
1339
+ ุจุนุฏูŠู† ุฃุญุณุจ ุงู„
1340
+
1341
+ 336
1342
+ 00:28:35,110 --> 00:28:42,250
1343
+ z set ุจุชุณุงูˆูŠ b minus pi ุน sigma ู„ู„ b ุงู„ b 5
1344
+
1345
+ 337
1346
+ 00:28:42,250 --> 00:28:47,490
1347
+ percent ุงู„ pi ุจู‚ูŠุช ุงู„ sigma ู„ู„ b ุฃู†ุง ุฃุทู„ุนู‡ุง ุชู‚ุฑูŠุจุง
1348
+
1349
+ 338
1350
+ 00:28:47,490 --> 00:28:51,730
1351
+ 0.12 ุงู„ุฌูˆุงุจ ุทุงู„ุน negative 2.47
1352
+
1353
+ 339
1354
+ 00:28:59,160 --> 00:28:59,600
1355
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1356
+
1357
+ 340
1358
+ 00:28:59,600 --> 00:29:07,040
1359
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1360
+
1361
+ 341
1362
+ 00:29:07,040 --> 00:29:09,020
1363
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1364
+
1365
+ 342
1366
+ 00:29:09,020 --> 00:29:09,760
1367
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1368
+
1369
+ 343
1370
+ 00:29:09,760 --> 00:29:10,160
1371
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1372
+
1373
+ 344
1374
+ 00:29:10,160 --> 00:29:10,440
1375
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1376
+
1377
+ 345
1378
+ 00:29:10,440 --> 00:29:10,500
1379
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1380
+
1381
+ 346
1382
+ 00:29:10,500 --> 00:29:10,780
1383
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1384
+
1385
+ 347
1386
+ 00:29:10,780 --> 00:29:23,220
1387
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1388
+
1389
+ 348
1390
+ 00:29:26,930 --> 00:29:31,270
1391
+ -2.47% ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุฌุงู„ ุงู„ุชุฑูุถ ูˆุงุถุญ ุงู† ู‚ูŠู…ุฉ
1392
+
1393
+ 349
1394
+ 00:29:31,270 --> 00:29:36,190
1395
+ ุงู„ุญุตุงุก ูˆูŠู† ู…ูˆุฌูˆุฏุฉ ููŠ ู…ู†ุทู‚ุฉ ุงู„ุฑูุถ ุชู‚ูˆู„ ู†ุญู† ู†ุชูุฑุฌ ุนู†
1396
+
1397
+ 350
1398
+ 00:29:36,190 --> 00:29:40,830
1399
+ ุงู„ู€ null hypothesis ุทุงู„ู…ุง ู†ุชูุฑุฌ ุนู† ุงู„ุงุฎุชุตุงุฑ ูŠูˆุฌุฏ
1400
+
1401
+ 351
1402
+ 00:29:40,830 --> 00:29:45,990
1403
+ ูˆุซู‚ุฉ ูƒุงููŠุฉ ู„ุชูุฑุฌ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู„ุดุฑูƒุงุช ู…ู† 8% ุนุฏุฏ
1404
+
1405
+ 352
1406
+ 00:29:45,990 --> 00:29:50,550
1407
+ ุงู„ุฅุฌุงุจุฉ ุฅุฐู† ู‡ู…ุง ูƒุงู†ูˆุง ุฏุนุงู‡ู… ุฅู†ู‡ ู„ู… ูŠุฌูŠุจูˆุง 8%
1408
+
1409
+ 353
1410
+ 00:29:50,550 --> 00:29:55,370
1411
+ ูƒู„ุงู…ุชู‡ ุตุญ ูˆู„ุง ุบู„ุทู…ุด ุตุญุŸ ุจุงู„ุชุงู„ูŠ ู‡ูˆ ู…ุงู„ู‡ differs
1412
+
1413
+ 354
1414
+ 00:29:55,370 --> 00:29:59,190
1415
+ from 8% do you think it's smaller than or greater
1416
+
1417
+ 355
1418
+ 00:29:59,190 --> 00:30:04,350
1419
+ than 8%ุŸ ู„ูˆ ุทู„ุน ุงู„ conclusion ุชูƒูˆู† ุจุงูŠ ุฃูƒุจุฑ ูˆู„ุง
1420
+
1421
+ 356
1422
+ 00:30:04,350 --> 00:30:09,810
1423
+ ุฃู‚ู„ุŒ ุฅูŠุด ุชุชูˆู‚ุนูŠุŸ ู…ุง ู‡ูŠ ู„ุง ูŠุชุณุงูˆู‰ ู…ุนู†ุงู‡ุง ูˆุงุญุฏุฉ ู…ู†
1424
+
1425
+ 357
1426
+ 00:30:09,810 --> 00:30:15,050
1427
+ ุงู„ุฃุชู†ูŠู† ู„ุง ูŠุชุณุงูˆู‰ ู…ุนู†ุงู‡ุง .. ุฃู†ุง ุจุญูƒูŠู„ูƒ ุฃู†ุช ู…ุงุญูƒูŠุด
1428
+
1429
+ 358
1430
+ 00:30:15,050 --> 00:30:18,470
1431
+ ุนุดุฑ ุฃุดูŠุงุก ู…ุงุญูƒูŠุด ู…ุนู†ุงู‡ุง ูŠุง ู…ุนุงูƒ ุฃูƒุชุฑ ูŠุง ู…ุนุงูƒ ุฃู‚ู„
1432
+
1433
+ 359
1434
+ 00:30:18,470 --> 00:30:21,850
1435
+ ุทูŠุจ ู‡ูŠู† .. ู„ู…ุง ุจุญูƒูŠ ู…ุนุงูƒ .. ุงู„ buy ุจุชุณุงูˆูŠุด ุฎุงู† 8%
1436
+
1437
+ 360
1438
+ 00:30:22,650 --> 00:30:28,010
1439
+ ู…ุนู†ุงู‡ ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ููŠ ุงู„ุญุงู„ุฉ ุชุจุนุชู†ุงุŸ ู„ูŠุด ุฃูƒุจุฑุŸ
1440
+
1441
+ 361
1442
+ 00:30:28,010 --> 00:30:32,870
1443
+ ุนุดุงู† ุงู„ุณู„ุฉ ุจุชูƒูˆู† ุฃูƒุจุฑุŸ ู„ู…ุง ุงู„ุดู„ุฉ ุชูƒูˆู† ุงู„ุณู„ุฉ ุจุชูƒูˆู†
1444
+
1445
+ 362
1446
+ 00:30:32,870 --> 00:30:36,770
1447
+ ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ ุฌูˆุงุจ ุจุงู„ negative
1448
+
1449
+ 363
1450
+ 00:30:36,770 --> 00:30:40,610
1451
+ ุจุชูƒูˆู† ุงู„ู‚ูŠู… ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ุงู†ุช ู„ุญุธุฉ ุทุงู„ุน ุฃู†ุช
1452
+
1453
+ 364
1454
+ 00:30:40,610 --> 00:30:45,570
1455
+ ู…ุงุญุชูุธุด ู…ู† ุนู†ุฏูƒ ุจูŠ minus ุจุงูŠ negative ู…ุน ูƒุฏู‡ ุงู„ุจูŠ
1456
+
1457
+ 365
1458
+ 00:30:45,570 --> 00:30:50,430
1459
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑ ู…ู† ุจุงูŠุŸุฃู‚ู„ ู…ู† ุจุงูŠุช ูุจุชุฎูŠู„ ุจุงุณู†ุชุฌุฑ
1460
+
1461
+ 366
1462
+ 00:30:50,430 --> 00:30:52,950
1463
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช
1464
+
1465
+ 367
1466
+ 00:30:52,950 --> 00:30:56,370
1467
+ ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1468
+
1469
+ 368
1470
+ 00:30:56,370 --> 00:30:56,830
1471
+ ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†
1472
+
1473
+ 369
1474
+ 00:30:56,830 --> 00:30:56,910
1475
+ ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†
1476
+
1477
+ 370
1478
+ 00:30:56,910 --> 00:31:04,750
1479
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„
1480
+
1481
+ 371
1482
+ 00:31:04,750 --> 00:31:10,050
1483
+ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1484
+
1485
+ 372
1486
+ 00:31:10,050 --> 00:31:16,290
1487
+ ุฃู‚ู„
1488
+
1489
+ 373
1490
+ 00:31:16,290 --> 00:31:25,660
1491
+ ู…ู† ุจุงูŠุชุงู„ู€ P-Value ุฏุนูˆู†ูŠ ุฃุฑู‰ ู…ุน ุจุนุถ ู‡ุฐุง ู‡ูˆ
1492
+
1493
+ 374
1494
+ 00:31:25,660 --> 00:31:30,500
1495
+ P-Value P-Value ุณุชุณุงูˆูŠ ุฅุฐุง ุฑุฃูŠุช ุงู„ู€ Statistics
1496
+
1497
+ 375
1498
+ 00:31:30,500 --> 00:31:37,460
1499
+ ูŠูƒูˆู† ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ุฃูˆ ุฃุตุบุฑ ู…ู†ู‡ุง ูŠุนู†ูŠ ุณุฃุฎุฏ ู‚ุทุน ุงู„ู€
1500
+
1501
+ 376
1502
+ 00:31:37,460 --> 00:31:43,820
1503
+ Absolute Value Z ุฃูƒุจุฑ ู…ู† 2 ุฃูˆ Z ุฃู‚ู„ ู…ู† negative 2
1504
+
1505
+ 377
1506
+ 00:31:43,820 --> 00:31:48,780
1507
+ .47ุงู„ุชูŠู†ุชูŠู† ุฒูŠ ุจุนุถุŒ ู…ุธุจูˆุท ุฏุงูŠู…ุง .. ู‡ุฏูˆู„ ุฏุงูŠู…ุง ุฎู„ูŠ
1508
+
1509
+ 378
1510
+ 00:31:48,780 --> 00:31:54,720
1511
+ ุจุงู„ูƒ .. ู„ู…ุง ุจุชูƒู„ู… ุนู† ุงู„ B value ุจุญุท ู‡ู†ุง ู…ูŠู† ุงู„ Z
1512
+
1513
+ 379
1514
+ 00:31:54,720 --> 00:31:59,960
1515
+ statistic ุญูƒูŠุช ุฏูŠ ุนุงู…ุฉ ุดูˆูŠุฉ ูุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† 2.47
1516
+
1517
+ 380
1518
+ 00:31:59,960 --> 00:32:04,180
1519
+ ู‡ู†ุง ูˆ ู‡ู†ุง negative 2.47 ุงู„ุชูŠู†ุชูŠู† ู‡ุฏูˆู„ ุฒูŠ ุจุนุถุŒ
1520
+
1521
+ 381
1522
+ 00:32:04,180 --> 00:32:08,080
1523
+ ู…ุธุจูˆุท ุจุทู„ุน ูˆุงุญุฏุฉ ุจุถุฑุจ ููŠ ุงุชู†ูŠู† ู…ูŠู† ู„ุณู‡ ู„ุทู„ุนุŸ
1524
+
1525
+ 382
1526
+ 00:32:08,080 --> 00:32:12,950
1527
+ ุงู„ุฃูƒุจุฑ ูˆู„ุง ุงู„ุฃู‚ู„ุŸ ุฏุงูŠู…ุง ุงู„ุฃุณู„ุฉ ุญุณุจ ุงู„ tableุงู„ุชูŠุจู„
1528
+
1529
+ 383
1530
+ 00:32:12,950 --> 00:32:15,750
1531
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ูŠุนุทูŠ ู…ุณุงุญุฉ ูŠู…ูŠู† ูˆู„ุง ุดู…ุงู„ ุชุจู‚ู‰ ุงู„ Z ุชุจู‚ู‰
1532
+
1533
+ 384
1534
+ 00:32:15,750 --> 00:32:21,490
1535
+ ุงู„ Z ุฎู„ู‘ูŠ ุจุงู„ูƒ ู‡ุฐุง Z ู‡ุฐุง ุงู„ุชูˆุฒูŠุน Z ู…ุด T ุฒูŠ ุงู„ู„ูŠ
1536
+
1537
+ 385
1538
+ 00:32:21,490 --> 00:32:25,130
1539
+ ูุงุช ุงู„
1540
+
1541
+ 386
1542
+ 00:32:25,130 --> 00:32:29,530
1543
+ negative ุฃูŠู‡ ุฌุงู‡ุฒ ุจูŠุนุทูŠู†ุง ุฅูŠู‡ to the right ูˆ to
1544
+
1545
+ 387
1546
+ 00:32:29,530 --> 00:32:34,790
1547
+ the left ุจุงู„ุชุงู„ุฉ ุฏูŠ ุฌุงู‡ุฒุฉ ุงู„ู„ูŠ ุฃูƒุจุฑ ุจุฏูŠ ุฃุนู…ู„ one
1548
+
1549
+ 388
1550
+ 00:32:34,790 --> 00:32:38,910
1551
+ minus ู…ุด ุดูƒ ุงู„ุงุชู†ูŠู† ุตุญ ูุจุฃุฎุฏ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูˆ ุจุถุฑู
1552
+
1553
+ 389
1554
+ 00:32:38,910 --> 00:32:43,450
1555
+ ุงู„ุงุชู†ูŠู† ุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฃู†ุง ุจุฏูŠ ุฃุฎุฏ ุงู„ุฃุณู‡ู„ุงู„ู„ูŠ
1556
+
1557
+ 390
1558
+ 00:32:43,450 --> 00:32:51,310
1559
+ ุฌุงู‡ุฒุฉ ุนู†ุฏู‰ negative 2.4 under 7 ู‡ูŠ negative 2.4
1560
+
1561
+ 391
1562
+ 00:32:51,310 --> 00:32:54,350
1563
+ 0068
1564
+
1565
+ 392
1566
+ 00:32:54,350 --> 00:33:01,450
1567
+ ุงูŠุด
1568
+
1569
+ 393
1570
+ 00:33:01,450 --> 00:33:06,470
1571
+ ุชุทู„ุน ุจุชุณุงูˆูŠ 0126
1572
+
1573
+ 394
1574
+ 00:33:10,410 --> 00:33:13,830
1575
+ ู…ุธุจูˆุท ุฅุฐุง ุทู„ุน ุงู„ุฌูˆุงุจ ู…ู† ุงู„ู€ table point 0068 ู„ุงุฒู…
1576
+
1577
+ 395
1578
+ 00:33:13,830 --> 00:33:20,090
1579
+ ุฃุถุฑุจู‡ุง ููŠ ุงุชู†ูŠู† ู„ู…ุง ุทู„ุนุช ุฃู† ุงู„ area to the left ูˆ
1580
+
1581
+ 396
1582
+ 00:33:20,090 --> 00:33:24,110
1583
+ ุงู„ right ุฃูƒูŠุฏ ุฒูŠู‡ุง ุงุฌู…ุนูŠู† ู…ุน ุจุนุถ ุจุทู„ุน ุงู„ุฌูˆุงุจ ููŠ
1584
+
1585
+ 397
1586
+ 00:33:24,110 --> 00:33:28,370
1587
+ 0126 now we reject ุงู„ zero if b value is more than
1588
+
1589
+ 398
1590
+ 00:33:28,370 --> 00:33:34,090
1591
+ alpha is the b value of point 0126 more than alpha
1592
+
1593
+ 399
1594
+ 00:33:34,090 --> 00:33:39,750
1595
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ู„ูˆ ู‚ุฑู†ุชู‡ุง ู…ุน ุงู„ุฃู„ู ูˆุงุถุญ ุงุญู†ุง ู…ุงู„ู‡ุงุฃู‚ู„
1596
+
1597
+ 400
1598
+ 00:33:39,750 --> 00:33:43,890
1599
+ ู…ู† Alpha ุฅุฐุง ู†ุดุช ู‚ุฑุงุฑ ุจุฑุถู‡ reject the null
1600
+
1601
+ 401
1602
+ 00:33:43,890 --> 00:33:52,130
1603
+ hypothesis ู…ุนู†ุงู‡ ูƒุฐุง ุญุตู„ุช ุนู„ู‰ ู†ูุณ ุงู„ู‚ุฑุงุฑ ูˆุถุญูŠู„ ุจ
1604
+
1605
+ 402
1606
+ 00:33:52,130 --> 00:33:58,830
1607
+ value approach ุฒูŠ ู…ุง ุญูƒูŠุช ุจุทู„ุน P of Z greater than
1608
+
1609
+ 403
1610
+ 00:33:58,830 --> 00:34:03,170
1611
+ 2.47 ุฃูˆ smaller than negative 2.47 ุจุทู„ุน ูˆุงุญุฏุฉ ุจุถุฑุจ
1612
+
1613
+ 404
1614
+ 00:34:03,170 --> 00:34:03,530
1615
+ ููŠ ุงุชู†ูŠู†
1616
+
1617
+ 405
1618
+ 00:34:07,070 --> 00:34:11,090
1619
+ ุจุงู„ุชุงู„ูŠ ุฏุงุฆู…ู‹ุง ู†ู‚ู„ ุฅุฐุง B ู‚ูŠู…ุฉ ุฃูƒุจุฑ ู…ู† Alpha ููŠ ู‡ุฐู‡
1620
+
1621
+ 406
1622
+ 00:34:11,090 --> 00:34:16,990
1623
+ ุงู„ุญุงู„ุฉ B ู‚ูŠู…ุฉ 0.0136 ุฃู‚ู„ ู…ู† Alpha ูู‡ูˆ ู†ู‚ู„ ู…ู†
1624
+
1625
+ 407
1626
+ 00:34:16,990 --> 00:34:23,090
1627
+ ุงู„hypothesis ุฎู„ุงุต ู‡ุฐุง ูƒู…ุฎุชู… Chapter 9
1628
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/2ARSwG-nNMs_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/2ARSwG-nNMs_raw.srt ADDED
@@ -0,0 +1,1696 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,940 --> 00:00:25,780
3
+ ุฅุฐุง ุงู„ุดุฑูƒุฉ ุชุฑุบุจ ููŠ ุชุฌุงุฑุฉ ู‡ุฐู‡ ุงู„ุงุฎุชุตุงุฑุฉ ูˆููŠู‡ุง
4
+
5
+ 2
6
+ 00:00:25,780 --> 00:00:31,040
7
+ ุงุนุชุจุงุฑ ุงู† ุงู„ู…ุดุงุฑูƒุฉ ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู… ูุจุงู„ุชุงู„ูŠ
8
+
9
+ 3
10
+ 00:00:31,040 --> 00:00:37,080
11
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุชุฌุงุฑุฉ C ู„ุฃู† ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู‡ูŠ ุฃู‚ู„ ู…ู†
12
+
13
+ 4
14
+ 00:00:37,080 --> 00:00:42,460
15
+ 52 ุจูŠุฑู…ุงู† ู‡ุฐุง ู…ุง ู†ุฑูŠุฏู‡ ุฃู† ู†ูุนู„ู‡ ุทุจุนุง ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ
16
+
17
+ 5
18
+ 00:00:42,460 --> 00:00:45,100
19
+ ู…ูƒุชูˆุจุฉ 152 ุฃูˆ ุฃู‚ู„ ู…ู† 152
20
+
21
+ 6
22
+ 00:00:48,850 --> 00:00:52,790
23
+ ุงู„ุงู† ุจุญูƒูŠ suppose alpha is 10% ูŠุนู†ูŠ alpha is given
24
+
25
+ 7
26
+ 00:00:52,790 --> 00:01:02,070
27
+ to be 10% ูˆ ุงู„ sample size 25 ูŠุนู†ูŠ ุงุชุงู†ู‰ ุงู„ sample
28
+
29
+ 8
30
+ 00:01:02,070 --> 00:01:06,510
31
+ size 25 ุจู†ุฏู‚ู†ุง ู†ุญู„ ุงู„ุณุคุงู„ ูˆ ู†ุทู„ุน ุงู„ rejection
32
+
33
+ 9
34
+ 00:01:06,510 --> 00:01:12,630
35
+ region ู‡ุฐุง ุจุญูƒูŠ ุนู„ู‰ one tailed test ุชุจุชุฏ
36
+
37
+ 10
38
+ 00:01:12,630 --> 00:01:15,650
39
+ ูƒู„ุงู… ุนู„ู‰ ุงู„ upper tail ูู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ู‡ู†ุง ู„ุงุฒู…
40
+
41
+ 11
42
+ 00:01:15,650 --> 00:01:20,310
43
+ ุงุทู„ุนู‡ุง ู…ู† ุงูŠู†ุŸ ู…ู† ุงู„ tableูู‡ุฐู‡ ุงู„ู€ critical value
44
+
45
+ 12
46
+ 00:01:20,310 --> 00:01:29,530
47
+ ุจุณู…ูŠู‡ุง T D F ูˆ Alpha ู‡ูŠูƒ ุชูƒุชุจ ุทุจุนุง
48
+
49
+ 13
50
+ 00:01:29,530 --> 00:01:36,010
51
+ degrees of freedom N equals 25 ุจุงู„ุชุงู„ูŠ ุงู„ minus
52
+
53
+ 14
54
+ 00:01:36,010 --> 00:01:48,850
55
+ one it gives 24 24 ูˆ 10% ูุจูุชุญ ุชุงุจุน ุงู„ ..ู„ู„ู€ T
56
+
57
+ 15
58
+ 00:01:48,850 --> 00:02:07,610
59
+ -test ุจู†ุนู…ู„
60
+
61
+ 16
62
+ 00:02:07,610 --> 00:02:13,490
63
+ location ู„ู€ 24 degrees of freedom ู„ุฅู†
64
+
65
+ 17
66
+ 00:02:13,490 --> 00:02:16,210
67
+ ู‡ูŠ 24 ูˆ under 10%
68
+
69
+ 18
70
+ 00:02:20,300 --> 00:02:29,840
71
+ ูุงู„ู€ critical value 1.318 ุซู… ู†ู‚ูˆู„ 1.318 ู…ุน ูƒุฏู‡ ู†ู‚ู„
72
+
73
+ 19
74
+ 00:02:29,840 --> 00:02:33,820
75
+ ุฅุฐุง ูƒุงู†ุช ุชูŠุณุชุงุชูŠุณุชูŠูƒ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ
76
+
77
+ 20
78
+ 00:02:33,820 --> 00:02:39,460
79
+ ุงู„ุชูŠ ุฃูƒุจุฑ ู…ู† 1
80
+
81
+ 21
82
+ 00:02:39,460 --> 00:02:44,720
83
+ .318 ูู†ู‚ู„ ุฅุฐุง
84
+
85
+ 22
86
+ 00:02:44,720 --> 00:02:52,800
87
+ ูƒุงู†ุช ุชูŠุณุชูŠูƒ ุฃูƒุจุฑ ู…ู† 1.318ู„ู…ุงุฐุง ุงูƒุจุฑ ู…ู† ุงูƒุชุฑุŸ ู„ุงู†ู†ุง
88
+
89
+ 23
90
+ 00:02:52,800 --> 00:02:55,980
91
+ ู†ุฌุฑุจ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ
92
+
93
+ 24
94
+ 00:02:55,980 --> 00:02:57,160
95
+ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
96
+
97
+ 25
98
+ 00:02:57,160 --> 00:03:00,320
99
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
100
+
101
+ 26
102
+ 00:03:00,320 --> 00:03:04,700
103
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ
104
+
105
+ 27
106
+ 00:03:04,700 --> 00:03:05,960
107
+ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
108
+
109
+ 28
110
+ 00:03:05,960 --> 00:03:07,680
111
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
112
+
113
+ 29
114
+ 00:03:07,680 --> 00:03:08,460
115
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
116
+
117
+ 30
118
+ 00:03:08,460 --> 00:03:14,320
119
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงุฅุฐุง ุชูŠุณุชุงุช ุฃูƒุชุฑ ู…ู† 1.318.
120
+
121
+ 31
122
+ 00:03:14,640 --> 00:03:17,920
123
+ ุงู„ุขู† ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจู…ู‚ุงุฑู†ุฉ ู‚ูŠู…ุฉ ู…ู‚ุงุฑู†ุฉ ุงู„ุงุฎุชุตุงุฑุงุช.
124
+
125
+ 32
126
+ 00:03:18,920 --> 00:03:22,440
127
+ ู„ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠุฌุจ ุฃู† ู†ุญุตู„ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ ูˆู†ู‚ูˆู…
128
+
129
+ 33
130
+ 00:03:22,440 --> 00:03:30,660
131
+ ุจู…ู‚ุงุฑู†ุฉ ูƒุงู…ุฉ ู…ู† ู…ู‚ุงุฑู†ุฉ X ูˆู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ
132
+
133
+ 34
134
+ 00:03:30,660 --> 00:03:31,680
135
+ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X
136
+
137
+ 35
138
+ 00:03:31,680 --> 00:03:39,440
139
+ .ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X
140
+
141
+ 36
142
+ 00:03:39,440 --> 00:03:39,640
143
+ .ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X
144
+
145
+ 37
146
+ 00:03:39,640 --> 00:03:41,510
147
+ .ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑู†ุฉ X.ู…ู‚ุงุฑุฅุฐุง ู‡ุฏูˆู„
148
+
149
+ 38
150
+ 00:03:41,510 --> 00:03:45,510
151
+ ุงู„ู€ X bar ูˆ ุงู„ู€ S are given both for the sample
152
+
153
+ 39
154
+ 00:03:45,510 --> 00:03:50,710
155
+ Now it's easy to compute the twist statistic By
156
+
157
+ 40
158
+ 00:03:50,710 --> 00:03:56,670
159
+ using the formula we know X bar minus nu minus mu
160
+
161
+ 41
162
+ 00:03:56,670 --> 00:04:02,710
163
+ over S over root N So X bar minus the mean S over
164
+
165
+ 42
166
+ 00:04:02,710 --> 00:04:05,950
167
+ square root of N Now straightforward calculations
168
+
169
+ 43
170
+ 00:04:05,950 --> 00:04:14,270
171
+ you can get the result of X bar53 ู…ุงู†ูˆุณ ุงู„ุงู† ู…ูŠูˆ
172
+
173
+ 44
174
+ 00:04:14,270 --> 00:04:25,690
175
+ ุงูƒุชุฑ ู…ู† 52 ุณูŠุฌู…ุง ู‡ูˆ 10 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
176
+
177
+ 45
178
+ 00:04:25,690 --> 00:04:27,390
179
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
180
+
181
+ 46
182
+ 00:04:27,390 --> 00:04:27,590
183
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
184
+
185
+ 47
186
+ 00:04:27,590 --> 00:04:28,710
187
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
188
+
189
+ 48
190
+ 00:04:28,710 --> 00:04:28,750
191
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
192
+
193
+ 49
194
+ 00:04:28,750 --> 00:04:28,750
195
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
196
+
197
+ 50
198
+ 00:04:28,750 --> 00:04:30,190
199
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„
200
+
201
+ 51
202
+ 00:04:30,190 --> 00:04:38,950
203
+ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25 ุนู‚ู„ ุนู…ุฑู‡ 25
204
+
205
+ 52
206
+ 00:04:40,020 --> 00:04:46,260
207
+ ุงู„ุงู† ูŠุฌุจ ุฃู† ุชู‚ุงุฑู† ุชู‚ุงุฑูŠุฑ ุชู‚ุงุฑูŠุฑ ุงู„ู€ T ู…ุน ุงู„ู…ู†ุทู‚ุฉ
208
+
209
+ 53
210
+ 00:04:46,260 --> 00:04:52,000
211
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุงู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ
212
+
213
+ 54
214
+ 00:04:52,000 --> 00:04:55,400
215
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉุŸ
216
+
217
+ 55
218
+ 00:04:55,400 --> 00:05:03,080
219
+ ูˆุงุถุญ ุฃู† ุงู„ู€ 0.55 ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉุจุงู„ู†ุณุจุฉ
220
+
221
+ 56
222
+ 00:05:03,080 --> 00:05:07,240
223
+ ู„ู‡ุฐุง ุงู„ุณุจุจุŒ ู„ุง ู†ู‚ูุฒ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ุฅุฐุง ู„ู… ุฃุฑูุถู‡ุง
224
+
225
+ 57
226
+ 00:05:07,240 --> 00:05:11,520
227
+ ู‡ุฐุง ู…ุนู†ุงู‡ ุฃูŠู‡ุŸ ุงู„ู€ Managerial ConclusionุŒ ู„ุง ูŠูˆุฌุฏ
228
+
229
+ 58
230
+ 00:05:11,520 --> 00:05:16,880
231
+ ูˆุซูŠู‚ุฉ ูƒุงููŠุฉ ู„ุฅุธู‡ุงุฑ ุฃู† ู…ู‚ุงู„ ุงู„ู€ True Mean ู‡ูˆ ุฃูƒุชุฑ
232
+
233
+ 59
234
+ 00:05:16,880 --> 00:05:17,380
235
+ ู…ู† 52
236
+
237
+ 60
238
+ 00:05:24,570 --> 00:05:28,010
239
+ ููŠ ุณุคุงู„ ูˆุงุถุญ ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ุญูƒูŠู†ุงู‡ุง ุงู…ุจุงุฑุญ ู„ูƒู†
240
+
241
+ 61
242
+ 00:05:28,010 --> 00:05:31,970
243
+ ุงู„ุงุฎุชู„ุงู ุจุณ ุจุฏู„ ู…ุง ูƒุงู†ุช two-tailed ุงู„ุงู† ูƒุงู† one
244
+
245
+ 62
246
+ 00:05:31,970 --> 00:05:35,990
247
+ -tailed the other side on the other hand we can
248
+
249
+ 63
250
+ 00:05:35,990 --> 00:05:40,750
251
+ compute the p-value because we mentioned yesterday
252
+
253
+ 64
254
+ 00:05:40,750 --> 00:05:44,110
255
+ there are two ways or two approaches for
256
+
257
+ 65
258
+ 00:05:44,110 --> 00:05:47,730
259
+ conducting the test one is called a critical value
260
+
261
+ 66
262
+ 00:05:47,730 --> 00:05:50,590
263
+ approach this is a critical value and the other
264
+
265
+ 67
266
+ 00:05:50,590 --> 00:05:55,780
267
+ one is called p-value approachุจุงู„ูุฑุญ ุชูŠ ุชูŠุงุจู„ ุชุนุทูŠ
268
+
269
+ 68
270
+ 00:05:55,780 --> 00:06:03,440
271
+ ู†ุชูŠุฌุฉ ุชู‚ุฑูŠุจุฉ ู„ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
272
+
273
+ 69
274
+ 00:06:03,440 --> 00:06:05,520
275
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ
276
+
277
+ 70
278
+ 00:06:05,520 --> 00:06:10,300
279
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
280
+
281
+ 71
282
+ 00:06:10,300 --> 00:06:10,840
283
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ
284
+
285
+ 72
286
+ 00:06:10,840 --> 00:06:13,400
287
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
288
+
289
+ 73
290
+ 00:06:13,400 --> 00:06:13,400
291
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ
292
+
293
+ 74
294
+ 00:06:13,400 --> 00:06:17,000
295
+ ู„ุชุฌุงุฑุจ ุจู‚ูŠู… ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจู‚ูŠู…
296
+
297
+ 75
298
+ 00:06:17,000 --> 00:06:18,000
299
+ ุชู‚ุฑูŠุจุฉ ู„ุชุฌุงุฑุจ ุจ
300
+
301
+ 76
302
+ 00:06:23,400 --> 00:06:27,840
303
+ Probability of T greater than ..ุงู„ุนู†ูˆุงู† ู‡ู†ุง ู‡ูˆ
304
+
305
+ 77
306
+ 00:06:27,840 --> 00:06:34,300
307
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
308
+
309
+ 78
310
+ 00:06:34,300 --> 00:06:36,280
311
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
312
+
313
+ 79
314
+ 00:06:36,280 --> 00:06:39,640
315
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
316
+
317
+ 80
318
+ 00:06:39,640 --> 00:06:40,860
319
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
320
+
321
+ 81
322
+ 00:06:40,860 --> 00:06:41,700
323
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
324
+
325
+ 82
326
+ 00:06:41,700 --> 00:06:44,640
327
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ
328
+
329
+ 83
330
+ 00:06:44,640 --> 00:06:49,220
331
+ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠุณ ุนู…ูˆู†ุงุช ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ู„ูŠ
332
+
333
+ 84
334
+ 00:06:50,380 --> 00:06:56,180
335
+ ูุจุฃุฎุฏ ุนู†ุฏ ุงู„ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ู‡ุฐู‡ ู…ู‡ู…ุฉ ุฌุฏุง ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู†
336
+
337
+ 85
338
+ 00:06:56,180 --> 00:06:58,520
339
+ ุงู„ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ู…ุด ุฃูƒุจุฑ ู…ู† ุงู„ one point three one
340
+
341
+ 86
342
+ 00:06:58,520 --> 00:07:01,860
343
+ eight ู…ุด ุนู„ุงู‚ุฉ ุจู‡ุฐู‡ ูŠุนู†ูŠ ุจุดูˆู ุฅูŠุด ุงุญุชู…ุงู„ ุชูƒูˆู† ุงู„
344
+
345
+ 87
346
+ 00:07:01,860 --> 00:07:04,640
347
+ test statistic ุฃูƒุจุฑ ู…ู† ุงู„ test value ุงู„ู„ูŠ ู‡ูˆ point
348
+
349
+ 88
350
+ 00:07:04,640 --> 00:07:09,500
351
+ five five now in this case just backward
352
+
353
+ 89
354
+ 00:07:09,500 --> 00:07:13,500
355
+ calculation this is my t table again we have to
356
+
357
+ 90
358
+ 00:07:13,500 --> 00:07:18,600
359
+ look at degrees of freedom twenty four and search
360
+
361
+ 91
362
+ 00:07:19,520 --> 00:07:24,540
363
+ for the value of 0.55 ุฏูˆุฑ ุน ุงู„ู‚ูŠู…ุฉ ุงู„ุฎู…ุณุฉ ุฎู…ุณูŠู† ู…ู†
364
+
365
+ 92
366
+ 00:07:24,540 --> 00:07:28,900
367
+ ู‡ู†ุง for sure the table will not give all values so
368
+
369
+ 93
370
+ 00:07:28,900 --> 00:07:34,440
371
+ we are looking for the the closest value of 0.55
372
+
373
+ 94
374
+ 00:07:34,440 --> 00:07:38,860
375
+ ูŠุนู†ูŠ ุจุฏูˆุฑ ุนู„ุดุงู† ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ุจู…ุดูŠ ุน ุงู„ 24 ููŠ ุนู†ุฏ 0
376
+
377
+ 95
378
+ 00:07:38,860 --> 00:07:46,570
379
+ .685 ุจุนุฏูŠู† ุจุฒูŠุฏ ู…ุธุจูˆุท ู…ุน ูƒุฏู‡ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู…ูŠู† ู‡ุชูƒูˆู†ู‡ูŠ
380
+
381
+ 96
382
+ 00:07:46,570 --> 00:07:49,670
383
+ ู‡ุฐู‡ ูˆุงุถุญุฉ ุฅุฐุง ู…ุงููŠุด ุนู†ุฏู‰ ุญุงุฌุฉ ุงุณู…ู‡ุง point five
384
+
385
+ 97
386
+ 00:07:49,670 --> 00:07:54,170
387
+ five ุจุงุฎุฏ ุงูŠุดุŸ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ูŠู‡ุง point six eight five
388
+
389
+ 98
390
+ 00:07:54,170 --> 00:07:58,010
391
+ ุฅุฐุง ู…ุงู„ูƒ ุฏู‡ ุงู„ุฌูˆุงุจ ู‡ุชุทู„ุน ู…ุนุงู‡ ุชู‚ุฑูŠุจุง ู…ุด exact
392
+
393
+ 99
394
+ 00:07:58,010 --> 00:08:05,490
395
+ result ุฅูŠุด ุจุชุณุงูˆูŠุŸ ุฎู…ุณ ุนุดุฑ ู…ู† ุฏูŠุŒ ุฅุฐุง point twenty
396
+
397
+ 100
398
+ 00:08:05,490 --> 00:08:12,190
399
+ five ุทุจ ู…ู† ูˆุฌู‡ุฉ ู…ุธุฑูƒ ู‡ูŠ ุฃูƒุจุฑ ู…ู† point twenty five
400
+
401
+ 101
402
+ 00:08:12,190 --> 00:08:21,360
403
+ ูˆู„ุง ุฃู‚ู„ุŸ ู„ุญุธุฉูˆ ุฃู†ุง ู…ุงุดูŠ ู‡ูŠูƒ ุงู„ P value ู…ุงู„ู‡ุง ู‡ูŠูƒ
404
+
405
+ 102
406
+ 00:08:21,360 --> 00:08:25,040
407
+ ู‡ูŠูƒ ุชูƒุจุฑ .. ุชูƒุจุฑ .. ุฎู…ุณุฉุŒ ุนุดุฑูŠู†ุŒ ุนุดุฑูŠู†ุŒ ุฎู…ุณุชุงุดุฑุŒ
408
+
409
+ 103
410
+ 00:08:25,040 --> 00:08:28,900
411
+ ุนุดุฑุฉุŒ ุจุชุตุบุฑ ุทูŠุจ ุฃู†ุง ุฃู‚ูŠู… ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุงุŒ ู…ุงุดูŠ ุนู„ู‰
412
+
413
+ 104
414
+ 00:08:28,900 --> 00:08:32,900
415
+ ุงู„ูŠู…ูŠู† ูˆู„ุง ุฌุงูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ุŸ ุฌุงูŠ ู‡ูŠูƒ ุงู„ fifty-five
416
+
417
+ 105
418
+ 00:08:32,900 --> 00:08:40,660
419
+ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ ู…ุน ูƒุฏู‡ ุงู„ P value ุชุจุนุช ู‡ู†ุง ูŠุนู†ูŠ ุงู„
420
+
421
+ 106
422
+ 00:08:40,660 --> 00:08:43,660
423
+ result ุตุญ ุญูˆุงู„ูŠู† ุงู„ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู†ุŒ ุจู‚ูˆู„ูƒ ุฅู†ู‡ุง ู…ุงู„ู‡ุง
424
+
425
+ 107
426
+ 00:08:45,230 --> 00:08:51,630
427
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† 25% either way if you just mention
428
+
429
+ 108
430
+ 00:08:51,630 --> 00:08:55,630
431
+ it's approximately 0.25 or greater than 0.25 you
432
+
433
+ 109
434
+ 00:08:55,630 --> 00:08:58,850
435
+ have to compare this b value with alpha now alpha
436
+
437
+ 110
438
+ 00:08:58,850 --> 00:09:03,390
439
+ is given to be 10% is your b value greater than
440
+
441
+ 111
442
+ 00:09:03,390 --> 00:09:11,390
443
+ alpha in other words is 0.25 ููŠ ู…ู‡ุฏูŠ ุฃูƒุจุฑ ู…ู† 0.10
444
+
445
+ 112
446
+ 00:09:14,120 --> 00:09:21,480
447
+ ุจุงู„ู„ู‡ ุนู† ุฌุฏ 25% ุฃูƒุจุฑ ูˆู„ุง ุฃุตุบุฑ ู…ู† point ูˆุงุญุฏ ู‡ุฏ
448
+
449
+ 113
450
+ 00:09:21,480 --> 00:09:26,180
451
+ ุฃูƒุจุฑ ูˆู„ุง ุฃุตุบุฑุŸ ู‡ุฏ ูƒุฏู‡ ู…ุฑุชูŠู† ูˆ ู†ุต ุชู‚ุฑูŠุจุง ุฃูƒุจุฑ ู…ุธุจูˆุท
452
+
453
+ 114
454
+ 00:09:26,180 --> 00:09:29,380
455
+ ุทุจ ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ we reject ูˆู„ุง don't rejectุŸ don't
456
+
457
+ 115
458
+ 00:09:29,380 --> 00:09:34,740
459
+ reject ู…ุน ูƒุฏู‡ ุทู„ุนุชุด ุจู†ูุณ ุงู„ conclusion ุงู„ุฃูˆู„ ุฅุฐุง
460
+
461
+ 116
462
+ 00:09:34,740 --> 00:09:38,590
463
+ ุงู„ both cases we don't reject on the hypothesisุฅุฐุง
464
+
465
+ 117
466
+ 00:09:38,590 --> 00:09:43,370
467
+ ุงู„ู€ 0.25 ู‡ูˆ ุฃูƒุชุฑ ู…ู† 10% ู„ุฐู„ูƒ ู„ุง ู†ู‚ู„ ุฃูŠุถู‹ุง ุงู„ู€ null
468
+
469
+ 118
470
+ 00:09:43,370 --> 00:09:48,850
471
+ hypothesis ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุฏุงุฑุฉ
472
+
473
+ 119
474
+ 00:09:48,850 --> 00:09:52,630
475
+ ุงู„ู€ alternative hypothesis ุงู„ุชูŠ ุชุดูŠุฑ ุฅู„ู‰ ุฃู† ุนู…ู„ูŠ
476
+
477
+ 120
478
+ 00:09:52,630 --> 00:10:00,670
479
+ ุงู„ู…ุณุชู‚ุจู„ ุฃูƒุชุฑ ู…ู† ุฃูˆ ุฃูƒุชุฑ ู…ู† 52$ ุทุจุนู‹ุง
480
+
481
+ 121
482
+ 00:10:00,670 --> 00:10:05,310
483
+ ุฅุฌุงุจุฉ ุตุญูŠุญุฉ ุงู„ุชูŠ ุฃุนุทุงู†ูŠู‡ุง ุงู„ูƒุชุงุจ ู‡ู†ุง ู‡ูˆ 0.2937 ู‡ุฐุง
484
+
485
+ 122
486
+ 00:10:05,310 --> 00:10:10,320
487
+ ู‡ูˆ ุงู„ู†ุชูŠุฌุฉ ุงู„ุตุญูŠุญุฉุทุจุนุง ุงุญู†ุง ุทู„ุนู†ุง 25 person ูˆุญูƒูŠู†ุง
488
+
489
+ 123
490
+ 00:10:10,320 --> 00:10:14,160
491
+ ุงูƒุจุฑ ู…ู† ุงู„ 25 ูุจุญู†ุง ุชู‚ุฑูŠุจุง ุญุงู„ู†ุง ู…ุงุดูŠุฉ ุนู„ู‰ ู†ูุณ
492
+
493
+ 124
494
+ 00:10:14,160 --> 00:10:21,300
495
+ ุงู„ูˆุซูŠู‚ุฉ ู‡ุฐุง ูƒุงู† ุจุงู„ู†ุณุจุฉ ู„ู„ุฌุฒุก ุงู„ู„ูŠ ุชุจู‚ู‰ ุงู…ุจุงุฑุญ ููŠ
496
+
497
+ 125
498
+ 00:10:21,300 --> 00:10:27,300
499
+ ุงูŠ ุณุคุงู„ุŸ ุทุจ ู…ูˆุถูˆุน ุงู„ูŠูˆู…ุŒ ู…ูˆุถูˆุน ุงู„ูŠูˆู… ู‡ูŠุญูƒูŠ ุนู„ู‰
500
+
501
+ 126
502
+ 00:10:27,300 --> 00:10:31,580
503
+ ู…ูˆุถูˆุน ู…ู‡ู… ุงู„ู„ูŠ ู‡ูˆ hypothesis test for proportions
504
+
505
+ 127
506
+ 00:10:34,990 --> 00:10:39,710
507
+ ุฎู„ุงุต ู‡ุจุฏุฃ ู…ูˆุถูˆุน ุฌุฏูŠุฏ I put this test for in
508
+
509
+ 128
510
+ 00:10:39,710 --> 00:10:43,410
511
+ proportions ู‡ุนุทูŠูƒูŠ ููƒุฑุฉ ุนู„ู‰ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ูุงุช
512
+
513
+ 129
514
+ 00:10:43,410 --> 00:10:47,830
515
+ ูˆู…ูˆุถูˆุน ุงู„ูŠูˆู… ุงู„ูู„ุงูˆุฉ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ูƒุงู†ุช ู†ุณุชุฎุฏู… ูƒู„ุงู…
516
+
517
+ 130
518
+ 00:10:47,830 --> 00:10:53,630
519
+ ุนู„ู‰ numerical values ุฒูŠ phone bills ุฒูŠ ุงู„ wages ุฒูŠ
520
+
521
+ 131
522
+ 00:10:53,630 --> 00:10:59,970
523
+ ุงู„ ages ุฒูŠ ุงู„ weights and so on so we focus on
524
+
525
+ 132
526
+ 00:10:59,970 --> 00:11:03,260
527
+ population meansู„ุฐุง ุงุชูƒู„ู…ู†ุง ุนู„ู‰ ุงู„ุจุงุจูˆู†ูŠุด ุงู„ู€ main
528
+
529
+ 133
530
+ 00:11:03,260 --> 00:11:07,680
531
+ ูˆูƒู†ุง ุจู†ุญูƒูŠ ุนู„ูŠู‡ุด ุนู„ู‰ data numeric ู…ุชุบูŠุฑุงุช ุฑู‚ู…ูŠุฉ
532
+
533
+ 134
534
+ 00:11:07,680 --> 00:11:13,560
535
+ ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ ู…ู† ุงู„ data ุงู„ู„ูŠ ู‡ูŠ ุจู†ุช ู…ุด ุฑู‚ู…ูŠุฉ ู…ุณู…ู‰
536
+
537
+ 135
538
+ 00:11:13,560 --> 00:11:17,020
539
+ qualitative data ูุงู„ qualitative ุจูŠู†ูุนุด ู†ุณุชุฎุฏู… ุงู„
540
+
541
+ 136
542
+ 00:11:17,020 --> 00:11:21,180
543
+ main ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ููŠ chapter 7 ุฃุฎุฏู†ุง sampling
544
+
545
+ 137
546
+ 00:11:21,180 --> 00:11:24,620
547
+ distribution ู„ ุงู„ main ูˆ sampling distribution ู„
548
+
549
+ 138
550
+ 00:11:24,620 --> 00:11:29,900
551
+ ุงู„ main ุฃุฎุฏู†ุง ุดุบู„ุชูŠู† sampling ู„ ุงู„ main ูˆ ุงู„ main
552
+
553
+ 139
554
+ 00:11:29,900 --> 00:11:30,340
555
+ ุงู„ุชุงู†ูŠุฉ
556
+
557
+ 140
558
+ 00:11:35,000 --> 00:11:37,400
559
+ ุฃุฎุฏู†ุง ุงู„ู€ Sampling Distribution of the Sample Mean
560
+
561
+ 141
562
+ 00:11:37,400 --> 00:11:41,500
563
+ ูˆ ู„ู„ู€ Proportion ุจุฑุถู‡ ู„ุฃู† ู†ูุณ ุงู„ุฌุฒุก ุณู†ุงุฎุฏ ุงู„ู€
564
+
565
+ 142
566
+ 00:11:41,500 --> 00:11:46,280
567
+ Hypothesis Test for Proportions ุฅุฐุง ู‡ุฐุง ุงู„ุฌุฒุก
568
+
569
+ 143
570
+ 00:11:46,280 --> 00:11:48,860
571
+ ุงู„ุชุงู†ูŠ ู„ู†ุฎุชู…ู‡ ุจู€ Chapter 9
572
+
573
+ 144
574
+ 00:12:19,140 --> 00:12:21,620
575
+ ุจุณ ู‡ุชุดูˆู ุงู„ู†ุฌู„ุฉ ู…ู† ุนู†ุฏ ุงุจุญุธู‡ุง
576
+
577
+ 145
578
+ 00:12:47,410 --> 00:12:55,310
579
+ ุณู†ู‚ูˆู… ุจุงุฎุชูŠุงุฑ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ
580
+
581
+ 146
582
+ 00:12:55,310 --> 00:13:01,630
583
+ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ
584
+
585
+ 147
586
+ 00:13:01,630 --> 00:13:04,830
587
+ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
588
+
589
+ 148
590
+ 00:13:04,830 --> 00:13:05,430
591
+ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ
592
+
593
+ 149
594
+ 00:13:05,430 --> 00:13:05,430
595
+ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ
596
+
597
+ 150
598
+ 00:13:05,430 --> 00:13:05,430
599
+ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
600
+
601
+ 151
602
+ 00:13:05,430 --> 00:13:05,430
603
+ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ
604
+
605
+ 152
606
+ 00:13:05,430 --> 00:13:06,300
607
+ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุณูŠุฒุงู„ูˆุงุญุฏ
608
+
609
+ 153
610
+ 00:13:06,300 --> 00:13:11,080
611
+ ู„ู„ู…ูŠุฒุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ ูˆุงู„ุงุฎุฑ ู„ู…ูŠุฒุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ
612
+
613
+ 154
614
+ 00:13:11,080 --> 00:13:17,680
615
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ูŠุฌุจ ุฃู† ุชู‚ุฑุฑ ุจูŠู† ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ
616
+
617
+ 155
618
+ 00:13:17,680 --> 00:13:18,200
619
+ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ
620
+
621
+ 156
622
+ 00:13:18,200 --> 00:13:18,440
623
+ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ูˆุงู„ุชุฌุงุฑุจ
624
+
625
+ 157
626
+ 00:13:18,440 --> 00:13:33,500
627
+ ุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„ุชุฌุงุฑุจุงู„
628
+
629
+ 158
630
+ 00:13:34,820 --> 00:13:37,520
631
+ ู„ู„ุนูŠู†ุงุช ู„ู„ statistics ุฒูŠ ุงู„ sample mean ุฃูˆ ุงู„
632
+
633
+ 159
634
+ 00:13:37,520 --> 00:13:41,340
635
+ sample proportion ู„ูƒู† ู„ู…ุง ุงุชูƒู„ู… ุนู† ุงู„ testing ุงูˆ
636
+
637
+ 160
638
+ 00:13:41,340 --> 00:13:44,820
639
+ hypothesis testing ุจุชูƒูˆู† is about ุงู„ population
640
+
641
+ 161
642
+ 00:13:44,820 --> 00:13:47,980
643
+ parameter ูˆุงุถุญุŸ ูุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ุงู„ sampling
644
+
645
+ 162
646
+ 00:13:47,980 --> 00:13:51,320
647
+ distribution ุจุชูƒู„ู… ุนู„ู‰ ุงู„ sample statistic ู‡ู†ุง
648
+
649
+ 163
650
+ 00:13:51,320 --> 00:13:54,160
651
+ ุจุชูƒู„ู… ุนู† ุงู„ population parameters ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู†
652
+
653
+ 164
654
+ 00:13:54,160 --> 00:13:59,630
655
+ ุงู„ุงุชู†ูŠู†ุงู„ .. ุงู„ proportion ู…ุน ูƒุฏู‡ these problems
656
+
657
+ 165
658
+ 00:13:59,630 --> 00:14:03,210
659
+ involve categorical variables ูŠูƒูˆู† ุนู†ุฏู‰ ุงู„ู…ุชุบูŠุฑุงุช
660
+
661
+ 166
662
+ 00:14:03,210 --> 00:14:07,550
663
+ ู…ุด ูƒู…ูŠุฉ ู†ูˆุนูŠุฉ in this case there are two possible
664
+
665
+ 167
666
+ 00:14:07,550 --> 00:14:12,870
667
+ outcomes ููŠ ุนู†ุฏู‰ ู†ุชุฌุชูŠู† possesses characteristic
668
+
669
+ 168
670
+ 00:14:12,870 --> 00:14:17,170
671
+ of interest or does not possess characteristic of
672
+
673
+ 169
674
+ 00:14:17,170 --> 00:14:22,720
675
+ interest for example supposeุฃุณุฃู„ ุณุคุงู„ ู‡ู„ ุชูุถู„ ู‡ุฐุง
676
+
677
+ 170
678
+ 00:14:22,720 --> 00:14:28,420
679
+ ุงู„ู†ูˆุน ู…ู† ุงู„ู‚ู‡ูˆุฉุŸ ูุงู„ุฌูˆุงุจ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงู…ุง ู†ุนู… ุงูˆ
680
+
681
+ 171
682
+ 00:14:28,420 --> 00:14:36,820
683
+ ู„ุงุŒ ูู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุงู…ุง ู†ุนู… ุงูˆ ู„ุง. ู†ุฌุงุญ ุงูˆ ุฎุณุงุฑุฉุŸ
684
+
685
+ 172
686
+ 00:14:36,820 --> 00:14:40,840
687
+ ุงุชูู‚ ุฃูˆ ู„ุง ุงุชูู‚ุŸ ู‡ุฐุง ุงู„ู†ูˆุน ู…ู† ุงู„ุณุคุงู„ูŠู† ูŠุนู†ูŠ ุงู†
688
+
689
+ 173
690
+ 00:14:40,840 --> 00:14:46,260
691
+ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุงูˆ ู„ุง ุงุชูู‚ุŸ ู†ุชูŠุฌุชูŠู† ูˆุงุญุฏุฉ ุงู†ุง ู…ู‡ุชู…
692
+
693
+ 174
694
+ 00:14:46,260 --> 00:14:47,960
695
+ ุจู‡ุง ู†ุฌุงุญ
696
+
697
+ 175
698
+ 00:14:50,190 --> 00:14:56,950
699
+ Success or fail the exam fraction or proportion of
700
+
701
+ 176
702
+ 00:14:56,950 --> 00:14:59,490
703
+ the population in the category of interest is
704
+
705
+ 177
706
+ 00:14:59,490 --> 00:15:08,230
707
+ denoted by ุจุงูŠ ุจู†ุงุฎุฏ ุจุงูŠ ุงู„ population proportion
708
+
709
+ 178
710
+ 00:15:08,230 --> 00:15:11,490
711
+ ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ููŠ ุดุจุชุฑ ุณุจุนุฉ ุจุงูŠ ูƒุงู†ุช population
712
+
713
+ 179
714
+ 00:15:11,490 --> 00:15:15,110
715
+ proportion ุจุฑุถู‡ ุจู†ุงุฎุฏ ุจุงูŠ ุนุจุงุฑุฉ ุนู† population
716
+
717
+ 180
718
+ 00:15:15,110 --> 00:15:20,800
719
+ proportion and in general this ุจุงูŠู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1
720
+
721
+ 181
722
+ 00:15:20,800 --> 00:15:24,440
723
+ ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1
724
+
725
+ 182
726
+ 00:15:24,440 --> 00:15:27,700
727
+ ู…ู‚ุงุฑู†ุฉ
728
+
729
+ 183
730
+ 00:15:27,700 --> 00:15:30,600
731
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
732
+
733
+ 184
734
+ 00:15:30,600 --> 00:15:31,060
735
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
736
+
737
+ 185
738
+ 00:15:31,060 --> 00:15:31,080
739
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
740
+
741
+ 186
742
+ 00:15:31,080 --> 00:15:31,080
743
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
744
+
745
+ 187
746
+ 00:15:31,080 --> 00:15:31,080
747
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
748
+
749
+ 188
750
+ 00:15:31,080 --> 00:15:31,580
751
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ
752
+
753
+ 189
754
+ 00:15:31,580 --> 00:15:37,300
755
+ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ1 ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ
756
+
757
+ 190
758
+ 00:15:40,480 --> 00:15:43,200
759
+ ุจ ูŠุนู†ูŠ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
760
+
761
+ 191
762
+ 00:15:43,200 --> 00:15:44,100
763
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
764
+
765
+ 192
766
+ 00:15:44,100 --> 00:15:46,240
767
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
768
+
769
+ 193
770
+ 00:15:46,240 --> 00:15:46,860
771
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
772
+
773
+ 194
774
+ 00:15:46,860 --> 00:15:48,080
775
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
776
+
777
+ 195
778
+ 00:15:48,080 --> 00:15:52,600
779
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
780
+
781
+ 196
782
+ 00:15:52,600 --> 00:16:06,600
783
+ ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู… ุจูŠู‚ูˆู…
784
+
785
+ 197
786
+ 00:16:06,600 --> 00:16:13,500
787
+ ุจูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุจูŠ ูŠู…ูƒู†
788
+
789
+ 198
790
+ 00:16:13,500 --> 00:16:14,880
791
+ ุฃู† ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
792
+
793
+ 199
794
+ 00:16:14,880 --> 00:16:16,400
795
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
796
+
797
+ 200
798
+ 00:16:16,400 --> 00:16:18,900
799
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
800
+
801
+ 201
802
+ 00:16:18,900 --> 00:16:20,800
803
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
804
+
805
+ 202
806
+ 00:16:20,800 --> 00:16:20,800
807
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
808
+
809
+ 203
810
+ 00:16:20,800 --> 00:16:23,560
811
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
812
+
813
+ 204
814
+ 00:16:23,560 --> 00:16:23,560
815
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
816
+
817
+ 205
818
+ 00:16:23,560 --> 00:16:28,800
819
+ ุนู† ุนุจุงุฑุฉ
820
+
821
+ 206
822
+ 00:16:28,800 --> 00:16:38,640
823
+ ุนู† ุนุจุงุฑ
824
+
825
+ 207
826
+ 00:16:40,480 --> 00:16:48,840
827
+ ุงู„ุงู† ุฏุนู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงู† ู†ุญุตู„ ุนู„ู‰ ู…ู‚ุงุฑู†ุฉ Z ููŠ
828
+
829
+ 208
830
+ 00:16:48,840 --> 00:16:52,680
831
+ ุงู„ุญู„ู‚ู‡ 3 ู…ู‚ุงุฑู†ุฉ
832
+
833
+ 209
834
+ 00:16:52,680 --> 00:16:56,640
835
+ Z ูƒุงู†ุช X ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† ู…ู‚ุงุฑู†ุฉ X ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† Sigma
836
+
837
+ 210
838
+ 00:16:56,640 --> 00:17:06,460
839
+ ู‡ุฐุง ูƒุงู† ููŠ ุงู„ุญู„ู‚ู‡ 3 ุงู„ุขู† ููŠ ุงู„ุญู„ู‚ู‡ 9 ู†ุญู† ู†ุชูƒู„ู… ุนู†
840
+
841
+ 211
842
+ 00:17:08,090 --> 00:17:11,130
843
+ ุฒูŠ statistic which is now we have to replace this
844
+
845
+ 212
846
+ 00:17:11,130 --> 00:17:16,590
847
+ b with this x by b so b minus the mean of b
848
+
849
+ 213
850
+ 00:17:16,590 --> 00:17:19,990
851
+ divided by sigma b if you look at this new formula
852
+
853
+ 214
854
+ 00:17:19,990 --> 00:17:27,510
855
+ it looks like this one except we replace x by b ุจุณ
856
+
857
+ 215
858
+ 00:17:27,510 --> 00:17:32,950
859
+ ุงุณุชุจุฏุงู„ุช x ุจุงู„ b ูˆ ุงู„ู…ูŠูˆู„ ุจูŠู‡ุง ุจูŠ ูˆ ุงู„ sigma ุจูŠู‡ุง
860
+
861
+ 216
862
+ 00:17:32,950 --> 00:17:35,310
863
+ ุจูŠู‡ุง ุจุงู„ุชุงู„ุฉ ุงุฐุง ูƒุชุจ ุฒูŠ statistic
864
+
865
+ 217
866
+ 00:17:38,200 --> 00:17:41,380
867
+ ู…ุดูŠ ุฌุฏูŠุฏ ุจุงู„ู†ุณุจุงู„ูŠ ู„ุญุธุฉ ุฃู†ุง ุจุนู…ู„ combination
868
+
869
+ 218
870
+ 00:17:41,380 --> 00:17:45,420
871
+ between chapter 3 and chapter 7 ูˆ ุจุญุท ุงู„ result
872
+
873
+ 219
874
+ 00:17:45,420 --> 00:17:48,600
875
+ chapter 9 ูˆุงุถุญ ูƒูŠูุŸ ุฅุฐุง ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุซู„ุงุซุฉ ุฃูˆ
876
+
877
+ 220
878
+ 00:17:48,600 --> 00:17:54,600
879
+ ุฎุฏู†ุงู‡ุง ููŠ ุณุจุนุฉ ุจู†ูƒู…ู„ู‡ ููŠ ุงู„ุชุณุนุฉ ูุงู„ุชุงู„ุฉ ุฃุซุฑุช ุจูŠ ุงู„
880
+
881
+ 221
882
+ 00:17:54,600 --> 00:18:00,040
883
+ mean ู„ู„ ุจูŠู‡ ุจูŠู‡ ูˆ ุงู„ sigma ู„ู„ ุจูŠู‡ ู‡ูŠู‡ ุฃู†ุง ููŠ
884
+
885
+ 222
886
+ 00:18:00,040 --> 00:18:03,940
887
+ ุงู…ุชุญุงู† ุจุฃุนุทูŠูƒูŠุด ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุฎุงู„ุต ู‡ุฐุง ุจุฃุนุทูˆู‡ุงุด
888
+
889
+ 223
890
+ 00:18:03,940 --> 00:18:10,630
891
+ ุจุฃุนุทูŠ ุฃุฒูŠ ุงู„ุฃุณุงุณ ุชุจุนุชู†ุงูˆุจุนุทูŠ ุงู„ู€ mean ู„ู„ ุจูŠ ูˆ ุงู„
892
+
893
+ 224
894
+ 00:18:10,630 --> 00:18:14,510
895
+ sigma ู„ู„ ุจูŠ ูˆ ุงู†ุช ุจุชุฑูƒุจูŠู‡ู… ู…ุน ุจุนุถ ุงู„ู„ูŠ ุงู†ุง ุจู†ุตุญูƒ
896
+
897
+ 225
898
+ 00:18:14,510 --> 00:18:17,970
899
+ ุชุฑูƒุจูŠู‡ู… ู…ุด ุนู„ู‰ ุจุนุถ ุทู„ุน ุงู„ mean ู„ู„ ุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„
900
+
901
+ 226
902
+ 00:18:17,970 --> 00:18:21,790
903
+ ุจุงูŠ ู„ุญุงู„ู‡ุง ูˆ ุทู„ุน ุงู„ sigma ู„ู„ ุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
904
+
905
+ 227
906
+ 00:18:21,790 --> 00:18:27,470
907
+ ูˆ ุจุนุฏูŠู† ุฏุฎู„ูŠู‡ู… ููŠ ุจุนุถ ู‡ูŠูƒ ุงู„ุณู„ุงู„ุฉ ุงุฐุง ู‡ุฐูŠ
908
+
909
+ 228
910
+ 00:18:27,470 --> 00:18:30,690
911
+ statistic ุจูŠ minus ุจุงูŠ over ุจุงูŠ one minus ุจุงูŠ over
912
+
913
+ 229
914
+ 00:18:30,690 --> 00:18:35,030
915
+ n ุงู„ test
916
+
917
+ 230
918
+ 00:18:37,630 --> 00:18:44,350
919
+ ู‡ูŠ 0 ุถุฏ ูƒู„ ูˆุงุญุฏ ู„ูƒูŠ ู†ุญุตู„ ุนู„ู‰ ู†ุชูŠุฌุฉ ุฌูŠุฏุฉ ุฃูˆ ู†ุชูŠุฌุฉ
920
+
921
+ 231
922
+ 00:18:44,350 --> 00:18:48,530
923
+ ุตุญูŠุญุฉ ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง ุงู„ุงุซู†ูŠู† ุงู„ูˆุงุถุญูŠู† ู…ูู‡ูˆู…ูŠู† ู† ููŠ
924
+
925
+ 232
926
+ 00:18:48,530 --> 00:18:53,530
927
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„
928
+
929
+ 233
930
+ 00:18:53,530 --> 00:19:00,270
931
+ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5
932
+
933
+ 234
934
+ 00:19:00,270 --> 00:19:00,390
935
+ ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
936
+
937
+ 235
938
+ 00:19:00,390 --> 00:19:00,830
939
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„
940
+
941
+ 236
942
+ 00:19:00,830 --> 00:19:01,270
943
+ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5
944
+
945
+ 237
946
+ 00:19:01,270 --> 00:19:03,550
947
+ ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
948
+
949
+ 238
950
+ 00:19:03,550 --> 00:19:04,390
951
+ ุฃู‚ู„ ู…ู† 5 ูˆู† ููŠ
952
+
953
+ 239
954
+ 00:19:07,810 --> 00:19:11,810
955
+ this case is not discussed in this chapter ูŠุนู†ูŠ ู„ูˆ
956
+
957
+ 240
958
+ 00:19:11,810 --> 00:19:15,870
959
+ ูƒุงู† ุงู„ุดุฑุท ูŠุนู†ูŠ ู…ุด ู…ุชุญู‚ู‚ูŠู† ุญุชู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ู…ุด ู‡ูƒู…ู„
960
+
961
+ 241
962
+ 00:19:15,870 --> 00:19:21,230
963
+ ู„ุฃู† ุงู„ุฌุฒุก ู‡ุฐุง ู…ุด ู…ุดุฑูˆุน ููŠ ุงู„ class ุทุจุนุง ุฅุฐุง ุนุดุงู†
964
+
965
+ 242
966
+ 00:19:21,230 --> 00:19:23,690
967
+ ุฃุณุงุณ ุฃู‚ุฏุฑ ู†ุนู…ู„ ุงู„ proceeding ู„ู„ู…ุซู„ุฉ ู„ุงุฒู… ูŠูƒูˆู†
968
+
969
+ 243
970
+ 00:19:23,690 --> 00:19:28,110
971
+ under two conditions ู‡ุฏูˆู„ ู…ุง ู„ู‡ู… satisfied
972
+
973
+ 244
974
+ 00:19:33,570 --> 00:19:38,790
975
+ ุงู„ู€ Z statistic ู…ู…ูƒู† ุงูƒุชุจู‡ ุจุดูƒู„ ุจุฏู„ ู…ูƒุชุจ B ู…ู…ูƒู†
976
+
977
+ 245
978
+ 00:19:38,790 --> 00:19:45,290
979
+ ุงูƒุชุจ X ุจุฏู„ู‡ุง ู…ุทู„ุน ุงู„ X ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ ุงู„ X ุนุจุงุฑุฉ ุนู†
980
+
981
+ 246
982
+ 00:19:45,290 --> 00:19:52,890
983
+ ู…ูŠู†ุŸ N times B ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ุงู„ X ู„ุญุงู„ู‡ุง N times B
984
+
985
+ 247
986
+ 00:19:52,890 --> 00:19:59,010
987
+ ู…ุนุงูƒุฏ ุงู†ุง ู„ูˆ ุงุฌูŠุช ุถุฑุจุช ูƒู„ ู‡ุฏู N ุจุณุท ู…ู‚ุงู… ุจุทู„ุน
988
+
989
+ 248
990
+ 00:19:59,010 --> 00:20:07,830
991
+ ู…ุนุงุฏูŠ ุงู„ form ู„ุญุงุฌุฉ ุฒูŠ ู‡ูŠX-NYยฒNY1-Y ู‡ุฐูŠ ูุฑุตุฉ ุฃุฎุฑู‰
992
+
993
+ 249
994
+ 00:20:07,830 --> 00:20:17,890
995
+ ู…ุชุดุงุจู‡ุฉ ู„ู‡ุฐุง ุงู„ู€ Z-score ุงู†ู‡ุง ุชุนุชู…ุฏ ุนู„ู‰ X X-NYยฒNY1
996
+
997
+ 250
998
+ 00:20:17,890 --> 00:20:21,830
999
+ -Y ู‡ุฐู‡ ุงู„ูุฑุตุชูŠู† ู…ุชุดุงุจู‡ุฉ ุจุดูƒู„ ู†ูุณูŠ ู„ุฐุง ูŠู…ูƒู†ูƒ
1000
+
1001
+ 251
1002
+ 00:20:21,830 --> 00:20:28,460
1003
+ ุงุณุชุฎุฏุงู… ุงูˆ B-Y ุนุจุฑ ู‡ุฐุง ุงู„ุดุฎุต ู†ุญู† ู†ุญุจ ุงุณุชุฎุฏุงู…ู‡ุฐู‡
1004
+
1005
+ 252
1006
+ 00:20:28,460 --> 00:20:31,300
1007
+ ุงู„ููˆุฑู…ูˆู„ุฉ ุฃูˆ ุจุฅู…ูƒุงู†ูƒ ุงุณุชุฎุฏุงู… ุงูƒุณ ู…ุงู†ูˆุณ ุงู† ุจุงูŠ ุนุจุฑ
1008
+
1009
+ 253
1010
+ 00:20:31,300 --> 00:20:35,760
1011
+ ุงู† ุจุงูŠ ูˆุงุญุฏ ู…ุงู†ูˆุณ ุจุงูŠ ุงู„ุงุฎุชุตุงุฑุงุช ู‡ู†ุง ุงูƒุณ ุนู„ู‰ ุงู„ุฃู‚ู„
1012
+
1013
+ 254
1014
+ 00:20:35,760 --> 00:20:42,760
1015
+ ุฎู…ุณุฉ ูˆุงู† ู…ุงู†ูˆุณ ุงูƒุณ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณุฉ ุงุฐุง ูƒู†ุช ุชู‚ุงุฑู†
1016
+
1017
+ 255
1018
+ 00:20:42,760 --> 00:20:50,880
1019
+ ู‡ุฐู‡ ุงู„ุงุฎุชุตุงุฑุงุช ู…ุน ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุฌุฏูŠุฏุฉ ุงู† ุจูŠ ุนุจุงุฑุฉ
1020
+
1021
+ 256
1022
+ 00:20:50,880 --> 00:20:56,360
1023
+ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู† ุจูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู† ุจูŠ
1024
+
1025
+ 257
1026
+ 00:20:56,360 --> 00:21:01,300
1027
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุนู„ู‰ ุงู†ู† ุจูŠ ูŠุนู†ูŠ ู‡ุฐู‡ ุตุงุฑุช ู† ุจุงูŠ
1028
+
1029
+ 258
1030
+ 00:21:01,300 --> 00:21:06,600
1031
+ ุนุจุงุฑุฉ ุนู† ูƒู„ ุนุจุงุฑุฉ ุนู† x ูˆู‡ุฐู‡ ู„ูˆ ุทู„ุนุชู‡ุง ู‡ุฐู‡ n minus
1032
+
1033
+ 259
1034
+ 00:21:06,600 --> 00:21:11,880
1035
+ n ุจุงูŠ ู…ุด ุดุงูŠู ุงู„ n times n minus ุจุงูŠ ู‡ูŠ n minus ุงู„
1036
+
1037
+ 260
1038
+ 00:21:11,880 --> 00:21:16,180
1039
+ n ุจุงูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ x ู…ู…ูƒู† ุฃุญูƒูŠ ุฅู…ุง x
1040
+
1041
+ 261
1042
+ 00:21:16,180 --> 00:21:20,440
1043
+ ุฃูƒุจุฑ ู…ู† ุณุงุนุฉ ุฎู…ุณุฉ and n minus x at least five or
1044
+
1045
+ 262
1046
+ 00:21:20,440 --> 00:21:23,920
1047
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ ููŠ ุงู„ุฃูˆู„ n times b ุฃูˆ n times one
1048
+
1049
+ 263
1050
+ 00:21:23,920 --> 00:21:27,740
1051
+ minus bู‡ุฏูˆู„ุฉ two equivalent formulas either you
1052
+
1053
+ 264
1054
+ 00:21:27,740 --> 00:21:33,100
1055
+ use X minus N by over square root N by one minus Y
1056
+
1057
+ 265
1058
+ 00:21:33,100 --> 00:21:37,060
1059
+ or the previous one which we are familiar with B
1060
+
1061
+ 266
1062
+ 00:21:37,060 --> 00:21:40,620
1063
+ minus Y ุนู„ู‰ square root Y one minus Y over N ุฅุฐุง
1064
+
1065
+ 267
1066
+ 00:21:40,620 --> 00:21:46,180
1067
+ ุจุณุชุฎุฏู… ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ุฃุชู†ูŠู† ุตุญ ู‡ู†ุงุฎุฏ
1068
+
1069
+ 268
1070
+ 00:21:46,180 --> 00:21:54,000
1071
+ example ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ูˆุญุฏ
1072
+
1073
+ 269
1074
+ 00:21:54,000 --> 00:21:54,960
1075
+ ูŠุฌู„ุณ ุงู„ู…ุซุงู„
1076
+
1077
+ 270
1078
+ 00:21:57,750 --> 00:22:02,270
1079
+ ุฃู…ุงูƒู† ุงู„ู€ company ุจุชุนุฑู ุฃู†ู‡ุง ุชุญุตู„ ุนู„ู‰ 8 ุดุฎุต ูˆ 5
1080
+
1081
+ 271
1082
+ 00:22:02,270 --> 00:22:07,170
1083
+ ู…ุณุชุฎุฏู… ู…ู† ุฎู„ุงู„ ุณู†ุฉ ูŠุนู†ูŠ ููŠ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ู…ุฌู…ูˆุนุฉ
1084
+
1085
+ 272
1086
+ 00:22:07,170 --> 00:22:15,950
1087
+ ู…ุฎุชู„ูุฉ ู…ู† 500 ู…ุณุชุฎุฏู… ุงุณุชู‚ุจู„ุช ู…ุน 25 ู…ุณุชุฎุฏู… ุชุณุนุฉ ุฃู„ู
1088
+
1089
+ 273
1090
+ 00:22:15,950 --> 00:22:20,830
1091
+ ูˆุฎู…ุณุฉ ูˆูŠู…ูŠู† ุณู†ุฉ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1092
+
1093
+ 274
1094
+ 00:22:20,830 --> 00:22:23,470
1095
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1096
+
1097
+ 275
1098
+ 00:22:23,470 --> 00:22:27,450
1099
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1100
+
1101
+ 276
1102
+ 00:22:27,450 --> 00:22:27,470
1103
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1104
+
1105
+ 277
1106
+ 00:22:27,470 --> 00:22:27,470
1107
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1108
+
1109
+ 278
1110
+ 00:22:27,470 --> 00:22:31,230
1111
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุดุฑูƒุงุช ู…ุนูŠู†ุฉ ุงูุชุฑุถ ุงู„ response
1112
+
1113
+ 279
1114
+ 00:22:31,230 --> 00:22:35,270
1115
+ ุชุจุนู‡ู… ู…ู…ูƒู† ูŠูƒูˆู† low ูŠุนู†ูŠ ุงู„ู†ุงุณ ู„ู…ุง ุชุณุชุฌูŠุจ ู…ุด ุงู„ูƒู„
1116
+
1117
+ 280
1118
+ 00:22:35,270 --> 00:22:41,050
1119
+ ู‡ูŠุนุจูŠ ุงู„ุงุณุชุฌุงุจุฉ ู…ุด ู‡ูŠูƒ ุงู„ marketing company claims
1120
+
1121
+ 281
1122
+ 00:22:41,050 --> 00:22:45,390
1123
+ that ุชุชุฏุนูŠ ุงู†ู‡ it receives eight percent responses
1124
+
1125
+ 282
1126
+ 00:22:45,390 --> 00:22:50,310
1127
+ from its mailing ู„ู…ุง ุจูŠุจุนุชูˆุง mailing ุจูŠุจุนุชูˆุง ุจุฑูŠุฏ
1128
+
1129
+ 283
1130
+ 00:22:50,310 --> 00:22:56,050
1131
+ ุจูŠุฌูŠู‡ู… ุงู„ุฑุฏ ุจุณ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ุฑุฏูˆุฏ ูƒู„ู‡ุงto
1132
+
1133
+ 284
1134
+ 00:22:56,050 --> 00:22:59,510
1135
+ test this claim ุนุดุงู† ูŠุฎุชุจุฑูˆุง ู‡ุฐุง ุงู„ุงุฏุนุงุก a random
1136
+
1137
+ 285
1138
+ 00:22:59,510 --> 00:23:05,110
1139
+ sample of 500 were surveyed ูŠุนู†ูŠ ุชู… ุงุณุชุทู„ุงุน ุงูˆ ู…ุณุญ
1140
+
1141
+ 286
1142
+ 00:23:05,110 --> 00:23:10,090
1143
+ ู„ 500 ูˆุงุญุฏ with 25 responses ูˆุงู„ู„ูŠ ุฌุงูˆุจ ู‚ุฏุงุดุŸ 25
1144
+
1145
+ 287
1146
+ 00:23:10,090 --> 00:23:13,690
1147
+ ุฅุฐุง ู‡ูˆ ู‡ูŠุฌุงูˆุจ ุฃูˆ ู…ุด ู‡ูŠุฌุงูˆุจ ูุจุงู„ุชุงู„ูŠ ูƒู„ ูˆุงุญุฏุฉ ุงู„ู„ูŠ
1148
+
1149
+ 288
1150
+ 00:23:13,690 --> 00:23:18,170
1151
+ ู„ู‡ุง two possible outcomes either response or don't
1152
+
1153
+ 289
1154
+ 00:23:18,170 --> 00:23:22,810
1155
+ responseุฎู„ู‘ูŠู†ูŠ ุฃุชุทู„ุน ุนู„ู‰ ุงู„ information ุงู„ู„ูŠ
1156
+
1157
+ 290
1158
+ 00:23:22,810 --> 00:23:28,570
1159
+ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒ ููŠ ุงู„ุฃูˆู„ุŒ ุฅูŠุด ุงู„ test ู‡ุชูƒูˆู†ุŸ ู…ูŠูˆ equal
1160
+
1161
+ 291
1162
+ 00:23:28,570 --> 00:23:33,230
1163
+ ูˆ ู„ุง ุจุงูŠ equalุŸ ู…ู‡ู… ุฌุฏุง ุฃุนุฑู ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ู…ูŠูˆ ูˆู„ุง
1164
+
1165
+ 292
1166
+ 00:23:33,230 --> 00:23:37,890
1167
+ ุจุงูŠุŸ ุนู„ู‰ ุจุงูŠุŒ ู…ุธุจูˆุท ู„ุฃู† ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ุงู„
1168
+
1169
+ 293
1170
+ 00:23:37,890 --> 00:23:40,970
1171
+ proportion of what we are talking about ุจุงูŠ ุฅุฐุง ุงู„
1172
+
1173
+ 294
1174
+ 00:23:40,970 --> 00:23:48,430
1175
+ ุจุงูŠ equal 8% ุทุจ ูˆ ุงู„ H1ุŸ ู…ุงุญูƒูŠู‡ุงุด ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ุŒ
1176
+
1177
+ 295
1178
+ 00:23:48,430 --> 00:23:55,180
1179
+ ู…ุงููŠุด ู…ุนุชุจุฑู‡ุงุŸู„ุงูŠู‡ ู…ุชุณุงูˆูŠุŸ a random sample of size
1180
+
1181
+ 296
1182
+ 00:23:55,180 --> 00:24:03,760
1183
+ 500 ู…ุธุจูˆุทุŸ ุฃูƒู…ู„ ูˆุงุญุฏ ุญูƒุงูŠุฉ ุฃูˆ responseุŸ 8x5 ุฃูˆู„ ุดูŠ
1184
+
1185
+ 297
1186
+ 00:24:03,760 --> 00:24:07,000
1187
+ ุจุชุฃูƒุฏ ู…ู† ุงู„ two conditions ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ู„ูŠ ู‡ูŠ n
1188
+
1189
+ 298
1190
+ 00:24:07,000 --> 00:24:16,800
1191
+ times y 500 times 8 ู„ูˆ ุถุฑุฑุช 5 ููŠ 8 ุจุทู„ุน ุงู„ 40 ุทุจ ูˆ
1192
+
1193
+ 299
1194
+ 00:24:16,800 --> 00:24:24,010
1195
+ n times 1 minus y ู…ู† ุบูŠุฑ ู…ุญุณุจุฉ ู…ุด ู…ุชุณุงูˆูŠุŸุงู„ู„ูŠ ู‡ูŠ n
1196
+
1197
+ 300
1198
+ 00:24:24,010 --> 00:24:29,190
1199
+ times one minus pi ู…ู† ุบูŠุฑ ู…ุง ู†ุญุณุจู‡ุง ุงู„ู„ูŠ
1200
+
1201
+ 301
1202
+ 00:24:29,190 --> 00:24:34,170
1203
+ ู‡ูŠ ุงู„ complement ู„ู„ุฎู…ุณู…ูŠุฉ ู…ุธุจูˆุท ู…ูƒู…ู„ ุงู„ุฎู…ุณู…ูŠุฉ ุงุฐุง
1204
+
1205
+ 302
1206
+ 00:24:34,170 --> 00:24:38,270
1207
+ ูƒุงู† ุฏูˆู„ุฉ ุงุฑุจุนูŠู† ูˆุนู†ุฏูŠ ุฎู…ุณูŠู† ูˆุทู„ุน ุงุฑุจุน ู…ูŠุฉ ูˆุณุชูŠู† ู„ูˆ
1208
+
1209
+ 303
1210
+ 00:24:38,270 --> 00:24:45,490
1211
+ ุจุชุญุณุจูŠู‡ุง I ุฎู…ุณู…ูŠุฉ of one minus pi ูŠุนู†ูŠ ุฎู…ุณู…ูŠุฉ ููŠ
1212
+
1213
+ 304
1214
+ 00:24:45,490 --> 00:24:50,620
1215
+ ุงุชู†ูŠู† ูˆุชุณุนูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงุฑุจุน ู…ูŠุฉ ูˆุณุชูŠู†ูˆุงุถุญ ุฃู† ู‡ุคู„ุงุก
1216
+
1217
+ 305
1218
+ 00:24:50,620 --> 00:24:57,360
1219
+ ุงู„ุงุชู†ูŠู† ู„ูˆ ุฌู…ุนู†ุงู‡ ู…ุด ุจูŠุทู„ุน ุงู„ุฌูˆุงุจ ู…ู„ูŠุงู†ุฉ
1220
+
1221
+ 306
1222
+ 00:24:57,360 --> 00:24:59,800
1223
+ ู…ุงููŠุด ุฏู„ูˆู‚ุชูŠ ุฃู† ุฃุถุฑุจู‡ุง ู…ู…ูƒู† ุฃุทู„ุน ุงู„ุฌูˆุงุจ ุนู„ู‰ ุทูˆู„
1224
+
1225
+ 307
1226
+ 00:24:59,800 --> 00:25:05,320
1227
+ ุฅุฐุง ูˆุงุถุญ ุงู„ conditions ู…ุง ู„ู‡ู… are satisfied
1228
+
1229
+ 308
1230
+ 00:25:05,320 --> 00:25:08,140
1231
+ because the conditions are n times pi at least 5
1232
+
1233
+ 309
1234
+ 00:25:08,140 --> 00:25:11,740
1235
+ and n times 1 minus pi is at least 5 in this case
1236
+
1237
+ 310
1238
+ 00:25:11,740 --> 00:25:17,580
1239
+ we got 40 and 406 it means the two conditions are
1240
+
1241
+ 311
1242
+ 00:25:17,580 --> 00:25:28,000
1243
+ okayุงู„ุงู† ูŠุฌุจ ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ุณุฃู‚ูˆู…
1244
+
1245
+ 312
1246
+ 00:25:28,000 --> 00:25:35,280
1247
+ ุจุนู…ู„ ุงู„ู…ุดูƒู„ุฉ ุจุงุณุชุฎุฏุงู… ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ู‚ุฑูŠุจุฉ ุซู… ุจุงุณุชุฎุฏุงู…
1248
+
1249
+ 313
1250
+ 00:25:35,280 --> 00:25:42,500
1251
+ ู‚ูŠู…ุฉ P ู‚ุฑูŠุจุฉ ุงู„ุฃู† Alpha 5% ู†ุญู† ู†ุชูƒู„ู… ุนู† ุชุฌุงุฑุจ 2D
1252
+
1253
+ 314
1254
+ 00:25:48,680 --> 00:25:51,180
1255
+ ู‡ู†ุง ูŠูˆุฌุฏ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1256
+
1257
+ 315
1258
+ 00:25:51,180 --> 00:25:52,260
1259
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1260
+
1261
+ 316
1262
+ 00:25:52,260 --> 00:26:01,660
1263
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
1264
+
1265
+ 317
1266
+ 00:26:05,360 --> 00:26:09,440
1267
+ ู„ุฐู„ูƒ ุงู„ู…ู†ุงุทู‚ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฃูƒุชุฑ ู…ู† 1.96 ุฃูˆ ุฃูƒุชุฑ ู…ู†
1268
+
1269
+ 318
1270
+ 00:26:09,440 --> 00:26:15,360
1271
+ ู†ู‚ู„ 1.96 ุฅุฐุง ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุชุณู‚ุท ููŠ ู‡ุฐู‡
1272
+
1273
+ 319
1274
+ 00:26:15,360 --> 00:26:18,520
1275
+ ุงู„ู…ู†ุงุทู‚ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŒ ูุณู†ู†ู‚ู„
1276
+
1277
+ 320
1278
+ 00:26:18,520 --> 00:26:24,200
1279
+ ุฅู„ู‰ ุงู„ู‡ูŠุจูˆุช ู†ูุณูŠ ุฏุนูˆู†ุง ู†ุญูƒู… ููŠ ู‡ุฐู‡ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ
1280
+
1281
+ 321
1282
+ 00:26:31,790 --> 00:26:36,970
1283
+ b-y over square root of y 1-y over n ุจูŠุฒ ุงูƒุณ over
1284
+
1285
+ 322
1286
+ 00:26:36,970 --> 00:26:42,350
1287
+ n ุจูŠุฒ ุงูƒุณ
1288
+
1289
+ 323
1290
+ 00:26:42,350 --> 00:26:44,890
1291
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1292
+
1293
+ 324
1294
+ 00:26:44,890 --> 00:26:45,430
1295
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1296
+
1297
+ 325
1298
+ 00:26:45,430 --> 00:26:48,230
1299
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1300
+
1301
+ 326
1302
+ 00:26:48,230 --> 00:26:50,130
1303
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1304
+
1305
+ 327
1306
+ 00:26:50,130 --> 00:26:50,130
1307
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1308
+
1309
+ 328
1310
+ 00:26:50,130 --> 00:26:50,130
1311
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1312
+
1313
+ 329
1314
+ 00:26:50,130 --> 00:26:50,130
1315
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1316
+
1317
+ 330
1318
+ 00:26:50,130 --> 00:26:50,170
1319
+ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ
1320
+
1321
+ 331
1322
+ 00:26:50,170 --> 00:26:54,310
1323
+ ุนุดุฑ
1324
+
1325
+ 332
1326
+ 00:26:54,310 --> 00:26:59,350
1327
+ ุนุดุฑ
1328
+
1329
+ 333
1330
+ 00:26:59,350 --> 00:27:07,050
1331
+ ุนุงู„ู„ูŠ ู‡ูŠ square root of pi 1 minus pi over n ุงู„ู„ูŠ
1332
+
1333
+ 334
1334
+ 00:27:07,050 --> 00:27:15,330
1335
+ ู‡ูŠ 8 percent 92 percent over 500 ู…ู…ูƒู† ุชุญุณุจูŠู‡ุง ุฃู†ุง
1336
+
1337
+ 335
1338
+ 00:27:15,330 --> 00:27:19,870
1339
+ ุจูุถู„ ุฃุญุณุจู‡ุง ูˆ ุจุนุฏูŠู† ุฃุญุทู‡ู… ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠ
1340
+
1341
+ 336
1342
+ 00:27:19,870 --> 00:27:24,690
1343
+ point
1344
+
1345
+ 337
1346
+ 00:27:24,690 --> 00:27:27,810
1347
+ zero nine eight times nine
1348
+
1349
+ 338
1350
+ 00:27:31,420 --> 00:27:39,380
1351
+ ุฅุฐุง ุจุงู„ู€ 0.8 ูŠุนู†ูŠ 0.92 ุชู‚ุณูŠู… 500 ุจุทู„ุน ุงู„ square
1352
+
1353
+ 339
1354
+ 00:27:39,380 --> 00:27:43,560
1355
+ root 001472
1356
+
1357
+ 340
1358
+ 00:27:43,560 --> 00:27:47,980
1359
+ ู„ูˆ
1360
+
1361
+ 341
1362
+ 00:27:47,980 --> 00:27:53,420
1363
+ ุทู„ุนู†ุง ุงู„ square root 0
1364
+
1365
+ 342
1366
+ 00:27:53,420 --> 00:27:56,540
1367
+ .0001472
1368
+
1369
+ 343
1370
+ 00:27:56,540 --> 00:28:03,390
1371
+ ุฅูŠุด ุจุทู„ุน ุงู„ุฌูˆุงุจุŸุจุชุทู„ุน ุฌูˆุงุจ ู‡ุฐุง ุงู„ู€ square root
1372
+
1373
+ 344
1374
+ 00:28:03,390 --> 00:28:13,370
1375
+ ู„ู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ
1376
+
1377
+ 345
1378
+ 00:28:13,370 --> 00:28:18,730
1379
+ ู‡ูŠ point zero zero one four seven two ุจุชุทู„ุน ุฌูˆุงุจ
1380
+
1381
+ 346
1382
+ 00:28:18,730 --> 00:28:26,630
1383
+ ูƒุฏู‡ุŸ zero one two ุชู‚ุฑูŠุจุง ุญุณุงุจ ุงู„ุชุฏูˆู„ุŸุฅุฐุง ุฃู†ุง ุจู†ุตุญ
1384
+
1385
+ 347
1386
+ 00:28:26,630 --> 00:28:31,170
1387
+ ุฏู‡ ู…ู† ุฃุนู…ู„ ุฒูŠ ู‡ูŠูƒ ุฃุทู„ุน ุงู„ b ูˆ ุงู„ sigma ู„ู„ b ูˆ
1388
+
1389
+ 348
1390
+ 00:28:31,170 --> 00:28:35,110
1391
+ ุจุนุฏูŠู† ุฃุญุณุจ ุงู„
1392
+
1393
+ 349
1394
+ 00:28:35,110 --> 00:28:42,250
1395
+ z set ุจุชุณุงูˆูŠ b minus pi ุน sigma ู„ู„ b ุงู„ b 5
1396
+
1397
+ 350
1398
+ 00:28:42,250 --> 00:28:47,490
1399
+ percent ุงู„ pi ุจู‚ูŠุช ุงู„ sigma ู„ู„ b ุฃู†ุง ุฃุทู„ุนู‡ุง ุชู‚ุฑูŠุจุง
1400
+
1401
+ 351
1402
+ 00:28:47,490 --> 00:28:51,730
1403
+ 0.12 ุงู„ุฌูˆุงุจ ุทุงู„ุน negative 2.47
1404
+
1405
+ 352
1406
+ 00:28:59,160 --> 00:28:59,600
1407
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1408
+
1409
+ 353
1410
+ 00:28:59,600 --> 00:29:07,040
1411
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1412
+
1413
+ 354
1414
+ 00:29:07,040 --> 00:29:09,020
1415
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1416
+
1417
+ 355
1418
+ 00:29:09,020 --> 00:29:09,760
1419
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1420
+
1421
+ 356
1422
+ 00:29:09,760 --> 00:29:10,160
1423
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1424
+
1425
+ 357
1426
+ 00:29:10,160 --> 00:29:10,440
1427
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1428
+
1429
+ 358
1430
+ 00:29:10,440 --> 00:29:10,440
1431
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1432
+
1433
+ 359
1434
+ 00:29:10,440 --> 00:29:10,500
1435
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1436
+
1437
+ 360
1438
+ 00:29:10,500 --> 00:29:10,780
1439
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1440
+
1441
+ 361
1442
+ 00:29:10,780 --> 00:29:23,220
1443
+ ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง
1444
+
1445
+ 362
1446
+ 00:29:23,220 --> 00:29:23,220
1447
+ ุฅุฐุง
1448
+
1449
+ 363
1450
+ 00:29:26,930 --> 00:29:31,270
1451
+ -2.47% ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุฌุงู„ ุงู„ุชุฑูุถ ูˆุงุถุญ ุงู† ู‚ูŠู…ุฉ
1452
+
1453
+ 364
1454
+ 00:29:31,270 --> 00:29:36,190
1455
+ ุงู„ุญุตุงุก ูˆูŠู† ู…ูˆุฌูˆุฏุฉ ููŠ ู…ู†ุทู‚ุฉ ุงู„ุฑูุถ ุชู‚ูˆู„ ู†ุญู† ู†ุชูุฑุฌ ุนู†
1456
+
1457
+ 365
1458
+ 00:29:36,190 --> 00:29:40,830
1459
+ ุงู„ู€ null hypothesis ุทุงู„ู…ุง ู†ุชูุฑุฌ ุนู† ุงู„ุงุฎุชุตุงุฑ ูŠูˆุฌุฏ
1460
+
1461
+ 366
1462
+ 00:29:40,830 --> 00:29:45,990
1463
+ ูˆุซู‚ุฉ ูƒุงููŠุฉ ู„ุชูุฑุฌ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู„ุดุฑูƒุงุช ู…ู† 8% ุนุฏุฏ
1464
+
1465
+ 367
1466
+ 00:29:45,990 --> 00:29:50,550
1467
+ ุงู„ุฅุฌุงุจุฉ ุฅุฐู† ู‡ู…ุง ูƒุงู†ูˆุง ุฏุนุงู‡ู… ุฅู†ู‡ ู„ู… ูŠุฌูŠุจูˆุง 8%
1468
+
1469
+ 368
1470
+ 00:29:50,550 --> 00:29:55,370
1471
+ ูƒู„ุงู…ุชู‡ ุตุญ ูˆู„ุง ุบู„ุทู…ุด ุตุญุŸ ุจุงู„ุชุงู„ูŠ ู‡ูˆ ู…ุงู„ู‡ differs
1472
+
1473
+ 369
1474
+ 00:29:55,370 --> 00:29:59,190
1475
+ from 8% do you think it's smaller than or greater
1476
+
1477
+ 370
1478
+ 00:29:59,190 --> 00:30:04,350
1479
+ than 8%ุŸ ู„ูˆ ุทู„ุน ุงู„ conclusion ุชูƒูˆู† ุจุงูŠ ุฃูƒุจุฑ ูˆู„ุง
1480
+
1481
+ 371
1482
+ 00:30:04,350 --> 00:30:09,810
1483
+ ุฃู‚ู„ุŒ ุฅูŠุด ุชุชูˆู‚ุนูŠุŸ ู…ุง ู‡ูŠ ู„ุง ูŠุชุณุงูˆู‰ ู…ุนู†ุงู‡ุง ูˆุงุญุฏุฉ ู…ู†
1484
+
1485
+ 372
1486
+ 00:30:09,810 --> 00:30:15,050
1487
+ ุงู„ุฃุชู†ูŠู† ู„ุง ูŠุชุณุงูˆู‰ ู…ุนู†ุงู‡ุง .. ุฃู†ุง ุจุญูƒูŠู„ูƒ ุฃู†ุช ู…ุงุญูƒูŠุด
1488
+
1489
+ 373
1490
+ 00:30:15,050 --> 00:30:18,470
1491
+ ุนุดุฑ ุฃุดูŠุงุก ู…ุงุญูƒูŠุด ู…ุนู†ุงู‡ุง ูŠุง ู…ุนุงูƒ ุฃูƒุชุฑ ูŠุง ู…ุนุงูƒ ุฃู‚ู„
1492
+
1493
+ 374
1494
+ 00:30:18,470 --> 00:30:21,850
1495
+ ุทูŠุจ ู‡ูŠู† .. ู„ู…ุง ุจุญูƒูŠ ู…ุนุงูƒ .. ุงู„ buy ุจุชุณุงูˆูŠุด ุฎุงู† 8%
1496
+
1497
+ 375
1498
+ 00:30:22,650 --> 00:30:28,010
1499
+ ู…ุนู†ุงู‡ ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ููŠ ุงู„ุญุงู„ุฉ ุชุจุนุชู†ุงุŸ ู„ูŠุด ุฃูƒุจุฑุŸ
1500
+
1501
+ 376
1502
+ 00:30:28,010 --> 00:30:32,870
1503
+ ุนุดุงู† ุงู„ุณู„ุฉ ุจุชูƒูˆู† ุฃูƒุจุฑุŸ ู„ู…ุง ุงู„ุดู„ุฉ ุชูƒูˆู† ุงู„ุณู„ุฉ ุจุชูƒูˆู†
1504
+
1505
+ 377
1506
+ 00:30:32,870 --> 00:30:36,770
1507
+ ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ ุฌูˆุงุจ ุจุงู„ negative
1508
+
1509
+ 378
1510
+ 00:30:36,770 --> 00:30:40,610
1511
+ ุจุชูƒูˆู† ุงู„ู‚ูŠู… ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ุงู†ุช ู„ุญุธุฉ ุทุงู„ุน ุฃู†ุช
1512
+
1513
+ 379
1514
+ 00:30:40,610 --> 00:30:45,570
1515
+ ู…ุงุญุชูุธุด ู…ู† ุนู†ุฏูƒ ุจูŠ minus ุจุงูŠ negative ู…ุน ูƒุฏู‡ ุงู„ุจูŠ
1516
+
1517
+ 380
1518
+ 00:30:45,570 --> 00:30:50,430
1519
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑ ู…ู† ุจุงูŠุŸุฃู‚ู„ ู…ู† ุจุงูŠุช ูุจุชุฎูŠู„ ุจุงุณู†ุชุฌุฑ
1520
+
1521
+ 381
1522
+ 00:30:50,430 --> 00:30:52,950
1523
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช
1524
+
1525
+ 382
1526
+ 00:30:52,950 --> 00:30:56,370
1527
+ ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1528
+
1529
+ 383
1530
+ 00:30:56,370 --> 00:30:56,830
1531
+ ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†
1532
+
1533
+ 384
1534
+ 00:30:56,830 --> 00:30:56,830
1535
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช
1536
+
1537
+ 385
1538
+ 00:30:56,830 --> 00:30:56,830
1539
+ ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1540
+
1541
+ 386
1542
+ 00:30:56,830 --> 00:30:56,910
1543
+ ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†
1544
+
1545
+ 387
1546
+ 00:30:56,910 --> 00:31:04,750
1547
+ ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง ุฃู‚ู„
1548
+
1549
+ 388
1550
+ 00:31:04,750 --> 00:31:10,050
1551
+ ู…ู† ุจุงูŠุช ุชุนุชู…ุงู„ู‡ุง
1552
+
1553
+ 389
1554
+ 00:31:10,050 --> 00:31:16,290
1555
+ ุฃู‚ู„
1556
+
1557
+ 390
1558
+ 00:31:16,290 --> 00:31:25,660
1559
+ ู…ู† ุจุงูŠุชุงู„ู€ P-Value ุฏุนูˆู†ูŠ ุฃุฑู‰ ู…ุน ุจุนุถ ู‡ุฐุง ู‡ูˆ
1560
+
1561
+ 391
1562
+ 00:31:25,660 --> 00:31:30,500
1563
+ P-Value P-Value ุณุชุณุงูˆูŠ ุฅุฐุง ุฑุฃูŠุช ุงู„ู€ Statistics
1564
+
1565
+ 392
1566
+ 00:31:30,500 --> 00:31:37,460
1567
+ ูŠูƒูˆู† ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ุฃูˆ ุฃุตุบุฑ ู…ู†ู‡ุง ูŠุนู†ูŠ ุณุฃุฎุฏ ู‚ุทุน ุงู„ู€
1568
+
1569
+ 393
1570
+ 00:31:37,460 --> 00:31:43,820
1571
+ Absolute Value Z ุฃูƒุจุฑ ู…ู† 2 ุฃูˆ Z ุฃู‚ู„ ู…ู† negative 2
1572
+
1573
+ 394
1574
+ 00:31:43,820 --> 00:31:48,780
1575
+ .47ุงู„ุชูŠู†ุชูŠู† ุฒูŠ ุจุนุถุŒ ู…ุธุจูˆุท ุฏุงูŠู…ุง .. ู‡ุฏูˆู„ ุฏุงูŠู…ุง ุฎู„ูŠ
1576
+
1577
+ 395
1578
+ 00:31:48,780 --> 00:31:54,720
1579
+ ุจุงู„ูƒ .. ู„ู…ุง ุจุชูƒู„ู… ุนู† ุงู„ B value ุจุญุท ู‡ู†ุง ู…ูŠู† ุงู„ Z
1580
+
1581
+ 396
1582
+ 00:31:54,720 --> 00:31:59,960
1583
+ statistic ุญูƒูŠุช ุฏูŠ ุนุงู…ุฉ ุดูˆูŠุฉ ูุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† 2.47
1584
+
1585
+ 397
1586
+ 00:31:59,960 --> 00:32:04,180
1587
+ ู‡ู†ุง ูˆ ู‡ู†ุง negative 2.47 ุงู„ุชูŠู†ุชูŠู† ู‡ุฏูˆู„ ุฒูŠ ุจุนุถุŒ
1588
+
1589
+ 398
1590
+ 00:32:04,180 --> 00:32:08,080
1591
+ ู…ุธุจูˆุท ุจุทู„ุน ูˆุงุญุฏุฉ ุจุถุฑุจ ููŠ ุงุชู†ูŠู† ู…ูŠู† ู„ุณู‡ ู„ุทู„ุนุŸ
1592
+
1593
+ 399
1594
+ 00:32:08,080 --> 00:32:12,950
1595
+ ุงู„ุฃูƒุจุฑ ูˆู„ุง ุงู„ุฃู‚ู„ุŸ ุฏุงูŠู…ุง ุงู„ุฃุณู„ุฉ ุญุณุจ ุงู„ tableุงู„ุชูŠุจู„
1596
+
1597
+ 400
1598
+ 00:32:12,950 --> 00:32:15,750
1599
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ูŠุนุทูŠ ู…ุณุงุญุฉ ูŠู…ูŠู† ูˆู„ุง ุดู…ุงู„ ุชุจู‚ู‰ ุงู„ Z ุชุจู‚ู‰
1600
+
1601
+ 401
1602
+ 00:32:15,750 --> 00:32:21,490
1603
+ ุงู„ Z ุฎู„ู‘ูŠ ุจุงู„ูƒ ู‡ุฐุง Z ู‡ุฐุง ุงู„ุชูˆุฒูŠุน Z ู…ุด T ุฒูŠ ุงู„ู„ูŠ
1604
+
1605
+ 402
1606
+ 00:32:21,490 --> 00:32:25,130
1607
+ ูุงุช ุงู„
1608
+
1609
+ 403
1610
+ 00:32:25,130 --> 00:32:29,530
1611
+ negative ุฃูŠู‡ ุฌุงู‡ุฒ ุจูŠุนุทูŠู†ุง ุฅูŠู‡ to the right ูˆ to
1612
+
1613
+ 404
1614
+ 00:32:29,530 --> 00:32:34,790
1615
+ the left ุจุงู„ุชุงู„ุฉ ุฏูŠ ุฌุงู‡ุฒุฉ ุงู„ู„ูŠ ุฃูƒุจุฑ ุจุฏูŠ ุฃุนู…ู„ one
1616
+
1617
+ 405
1618
+ 00:32:34,790 --> 00:32:38,910
1619
+ minus ู…ุด ุดูƒ ุงู„ุงุชู†ูŠู† ุตุญ ูุจุฃุฎุฏ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูˆ ุจุถุฑู
1620
+
1621
+ 406
1622
+ 00:32:38,910 --> 00:32:43,450
1623
+ ุงู„ุงุชู†ูŠู† ุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฃู†ุง ุจุฏูŠ ุฃุฎุฏ ุงู„ุฃุณู‡ู„ุงู„ู„ูŠ
1624
+
1625
+ 407
1626
+ 00:32:43,450 --> 00:32:51,310
1627
+ ุฌุงู‡ุฒุฉ ุนู†ุฏู‰ negative 2.4 under 7 ู‡ูŠ negative 2.4
1628
+
1629
+ 408
1630
+ 00:32:51,310 --> 00:32:54,350
1631
+ 0068
1632
+
1633
+ 409
1634
+ 00:32:54,350 --> 00:33:01,450
1635
+ ุงูŠุด
1636
+
1637
+ 410
1638
+ 00:33:01,450 --> 00:33:06,470
1639
+ ุชุทู„ุน ุจุชุณุงูˆูŠ 0126
1640
+
1641
+ 411
1642
+ 00:33:10,410 --> 00:33:13,830
1643
+ ู…ุธุจูˆุท ุฅุฐุง ุทู„ุน ุงู„ุฌูˆุงุจ ู…ู† ุงู„ู€ table point 0068 ู„ุงุฒู…
1644
+
1645
+ 412
1646
+ 00:33:13,830 --> 00:33:20,090
1647
+ ุฃุถุฑุจู‡ุง ููŠ ุงุชู†ูŠู† ู„ู…ุง ุทู„ุนุช ุฃู† ุงู„ area to the left ูˆ
1648
+
1649
+ 413
1650
+ 00:33:20,090 --> 00:33:24,110
1651
+ ุงู„ right ุฃูƒูŠุฏ ุฒูŠู‡ุง ุงุฌู…ุนูŠู† ู…ุน ุจุนุถ ุจุทู„ุน ุงู„ุฌูˆุงุจ ููŠ
1652
+
1653
+ 414
1654
+ 00:33:24,110 --> 00:33:28,370
1655
+ 0126 now we reject ุงู„ zero if b value is more than
1656
+
1657
+ 415
1658
+ 00:33:28,370 --> 00:33:34,090
1659
+ alpha is the b value of point 0126 more than alpha
1660
+
1661
+ 416
1662
+ 00:33:34,090 --> 00:33:39,750
1663
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ู„ูˆ ู‚ุฑู†ุชู‡ุง ู…ุน ุงู„ุฃู„ู ูˆุงุถุญ ุงุญู†ุง ู…ุงู„ู‡ุงุฃู‚ู„
1664
+
1665
+ 417
1666
+ 00:33:39,750 --> 00:33:43,890
1667
+ ู…ู† Alpha ุฅุฐุง ู†ุดุช ู‚ุฑุงุฑ ุจุฑุถู‡ reject the null
1668
+
1669
+ 418
1670
+ 00:33:43,890 --> 00:33:52,130
1671
+ hypothesis ู…ุนู†ุงู‡ ูƒุฐุง ุญุตู„ุช ุนู„ู‰ ู†ูุณ ุงู„ู‚ุฑุงุฑ ูˆุถุญูŠู„ ุจ
1672
+
1673
+ 419
1674
+ 00:33:52,130 --> 00:33:58,830
1675
+ value approach ุฒูŠ ู…ุง ุญูƒูŠุช ุจุทู„ุน P of Z greater than
1676
+
1677
+ 420
1678
+ 00:33:58,830 --> 00:34:03,170
1679
+ 2.47 ุฃูˆ smaller than negative 2.47 ุจุทู„ุน ูˆุงุญุฏุฉ ุจุถุฑุจ
1680
+
1681
+ 421
1682
+ 00:34:03,170 --> 00:34:03,530
1683
+ ููŠ ุงุชู†ูŠู†
1684
+
1685
+ 422
1686
+ 00:34:07,070 --> 00:34:11,090
1687
+ ุจุงู„ุชุงู„ูŠ ุฏุงุฆู…ู‹ุง ู†ู‚ู„ ุฅุฐุง B ู‚ูŠู…ุฉ ุฃูƒุจุฑ ู…ู† Alpha ููŠ ู‡ุฐู‡
1688
+
1689
+ 423
1690
+ 00:34:11,090 --> 00:34:16,990
1691
+ ุงู„ุญุงู„ุฉ B ู‚ูŠู…ุฉ 0.0136 ุฃู‚ู„ ู…ู† Alpha ูู‡ูˆ ู†ู‚ู„ ู…ู†
1692
+
1693
+ 424
1694
+ 00:34:16,990 --> 00:34:23,090
1695
+ ุงู„hypothesis ุฎู„ุงุต ู‡ุฐุง ูƒู…ุฎุชู… Chapter 9
1696
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/4khBoGnElZQ_raw.json ADDED
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PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/6MPJIpni4fw.srt ADDED
@@ -0,0 +1,1455 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,920 --> 00:00:25,780
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ู‡ู†ุงุฎุฏ second review
4
+
5
+ 2
6
+ 00:00:25,780 --> 00:00:30,080
7
+ session for exam number two I will start now with
8
+
9
+ 3
10
+ 00:00:30,080 --> 00:00:32,880
11
+ chapter nine then after that we will go for some
12
+
13
+ 4
14
+ 00:00:32,880 --> 00:00:36,680
15
+ problems from chapter ten ุฎู„ุงุต ู‡ุงุฎุฏ ุดูˆูŠุฉ ู…ุซุงู„ ู…ู†
16
+
17
+ 5
18
+ 00:00:36,680 --> 00:00:39,980
19
+ ุงู„ุชุณุนุฉ ูˆ ุจุนุฏ ุดูˆูŠุฉ ู‡ุงุฎุฏ ุดูˆูŠุฉ ู…ุซุงู„ ู…ู† ุงู„ุนุดุฑุฉ
20
+
21
+ 6
22
+ 00:00:39,980 --> 00:00:48,000
23
+ scenario nine ten ู†ุชุทู„ุน ุนู„ู‰ ุงู„ุชุณุนุฉ ุนุดุฑุฉ scenario
24
+
25
+ 7
26
+ 00:00:48,000 --> 00:00:54,800
27
+ ุชุณุนุฉ ุนุดุฑุฉ ู…ุด ู‡ุชู€ ุงู„ุณุคุงู„ ูŠุง ุนุฒูŠุฒูŠ ุจุญูƒูŠ
28
+
29
+ 8
30
+ 00:00:54,800 --> 00:01:01,240
31
+ manufacturer produces light bulbs that have mean
32
+
33
+ 9
34
+ 00:01:01,240 --> 00:01:10,020
35
+ life of at least 500 hours at least five
36
+
37
+ 10
38
+ 00:01:10,020 --> 00:01:13,120
39
+ hundred
40
+
41
+ 11
42
+ 00:01:13,120 --> 00:01:18,080
43
+ hours when the production process is working
44
+
45
+ 12
46
+ 00:01:18,080 --> 00:01:22,630
47
+ properly ุฅุฐุง .. ุฅุฐุง ุงู„ .. ุงู„ .. ุงู„ process ู…ุงุดูŠ ุตุญุŒ
48
+
49
+ 13
50
+ 00:01:22,630 --> 00:01:26,050
51
+ ุชุดุชุบู„ ุจุดูƒู„ ู…ู†ุงุณุจุŒ ุงู„ mean life ู„ู„ู…ุจุฉ ุงู„ูƒู‡ุฑุจุง
52
+
53
+ 14
54
+ 00:01:26,050 --> 00:01:31,110
55
+ ู‡ุชูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ .. ู‡ุชุดุชุบู„ ุนู„ู‰ ุงู„ุฃู‚ู„ 500 ุณุงุนุฉุŒ ุชุนุฑู
56
+
57
+ 15
58
+ 00:01:31,110 --> 00:01:34,990
59
+ ุฃูŠ ู„ู…ุจุฉ ู†ูŠูˆู† ุฃูˆ ู„ู…ุจุฉ ุนุงุฏูŠุฉุŒ ุงู„ู„ูŠ ู„ู‡ุง ุนู…ุฑ ู…ุญุฏุฏุŒ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:34,990 --> 00:01:40,630
63
+ ุจูŠุญูƒูŠ ู„ูˆ ุงู„ู…ูƒูŠู†ุฉ ุฃูˆ ุงู„ุนู…ู„ูŠุฉ ุงุดุชุบู„ุช ุจุดูƒู„ ู…ู†ุงุณุจุŒ ู‡ูŠูƒูˆู†
64
+
65
+ 17
66
+ 00:01:40,630 --> 00:01:44,450
67
+ ุนู…ุฑู‡ุง ุงู„ mean life ู„ู‡ุง at least ุนู„ู‰ ุงู„ุฃู‚ู„ 500 ุณุงุนุฉ
68
+
69
+ 18
70
+ 00:01:44,450 --> 00:01:51,650
71
+ ุฃูˆ 500 ุฃูˆ ุฃูƒุซุฑ ุจู†ุงุก ุนู„ู‰ ุฎุจุฑุฉ ุณุงุจู‚ุฉ population ูŠุนู†ูŠ
72
+
73
+ 19
74
+ 00:01:51,650 --> 00:01:55,530
75
+ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:01:55,530 --> 00:01:58,550
79
+ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ
80
+
81
+ 21
82
+ 00:01:58,550 --> 00:02:00,450
83
+ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ
84
+
85
+ 22
86
+ 00:02:00,450 --> 00:02:02,530
87
+ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ
88
+
89
+ 23
90
+ 00:02:02,530 --> 00:02:03,830
91
+ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:03,830 --> 00:02:05,690
95
+ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ sigma ู…ุดุงูƒ population ูŠุนู†ูŠ
96
+
97
+ 25
98
+ 00:02:05,690 --> 00:02:10,670
99
+ ุณูŠุฌู…ุง ู…ุดุงูƒู„ population ู‡ูˆ ุจูŠูˆู‚ู if there is evidence
100
+
101
+ 26
102
+ 00:02:10,670 --> 00:02:14,110
103
+ that the population mean light bulb life is below
104
+
105
+ 27
106
+ 00:02:14,110 --> 00:02:20,590
107
+ 500 hours ุฅุฐุง ู‡ูˆ ู‡ูŠุชูˆู‚ู ูŠุนู†ูŠ ููŠ ุนู†ุฏู‡ rules ู…ุนูŠู†ุฉ
108
+
109
+ 28
110
+ 00:02:20,590 --> 00:02:25,750
111
+ ุฅุฐุง ูƒุงู†ุช ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณู…ูŠุฉ ุณุงุนุฉ ู‡ูŠุดุชุบู„ ู„ูˆ ุตุงุฑุช ุฃู‚ู„
112
+
113
+ 29
114
+ 00:02:25,750 --> 00:02:30,350
115
+ ู…ู† ุฎู…ุณู…ูŠุฉ ู…ุด ู‡ูŠุนู…ู„ ู‡ูˆู‚ู ุงู„ุดุบู„ ุทูŠุจ referring to
116
+
117
+ 30
118
+ 00:02:30,350 --> 00:02:33,030
119
+ this scenario if you select a sample of a hundred
120
+
121
+ 31
122
+ 00:02:33,030 --> 00:02:40,340
123
+ light ุฃุฎุฏ ุงู„ sample size ู…ู† ู…ูŠุฉ ูˆูŠูƒูˆู†ูˆุง ู…ุณุชุนุฏูŠู†
124
+
125
+ 32
126
+ 00:02:40,340 --> 00:02:45,360
127
+ ู„ุฏูŠู‡ู… ู†ุณุจุฉ 10%
128
+
129
+ 33
130
+ 00:02:45,360 --> 00:02:47,860
131
+ ูƒู†ุณุจุฉ ู†ุณุจุฉ 10% ู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
132
+
133
+ 34
134
+ 00:02:47,860 --> 00:02:54,460
135
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
136
+
137
+ 35
138
+ 00:02:54,460 --> 00:02:54,600
139
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
140
+
141
+ 36
142
+ 00:02:54,600 --> 00:02:55,780
143
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
144
+
145
+ 37
146
+ 00:02:55,780 --> 00:03:01,950
147
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
148
+
149
+ 38
150
+ 00:03:01,950 --> 00:03:08,050
151
+ ุงู„ุบูŠุงุจ ุฎู„ุงุต ู‡ุฐุง .. ู‡ุฐุง ุดูŠุก ุขุฎุฑ ู‡ุฐุง ู„ุฃู† ุจุฏูŠ ุฃุญุณุจ
152
+
153
+ 39
154
+ 00:03:08,050 --> 00:03:12,150
155
+ ุงู„ type 2 error ูˆ ู…ู†ู‡ุง ุฃุทู„ุน ุงู„ ฮฒ ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ
156
+
157
+ 40
158
+ 00:03:12,150 --> 00:03:16,370
159
+ 490 ุงู„ X bar ูู‡ุฐุง ุฃู†ุง ู…ุด ุนุงูŠุฒุฉ 32 ุงู„ type 2 error
160
+
161
+ 41
162
+ 00:03:16,370 --> 00:03:20,850
163
+ ู…ุด ุนุงูŠุฒูŠู†ู‡ ุฎู„ุงุต
164
+
165
+ 42
166
+ 00:03:20,850 --> 00:03:25,090
167
+ ุฅุฐุง ุงู„ 32 ุงู„ 33 ู‡ุฏูˆู„ ุงุญู†ุง ู…ุด ุนุงูŠุฒูŠู†ู‡ู… ุซู„ุงุซุฉ ูˆ
168
+
169
+ 43
170
+ 00:03:25,090 --> 00:03:28,110
171
+ ุซู„ุงุซูŠู† ูŠุนู†ูŠ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ
172
+
173
+ 44
174
+ 00:03:28,110 --> 00:03:30,310
175
+ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ ูˆ ุซู„ุงุซ
176
+
177
+ 45
178
+ 00:03:30,310 --> 00:03:32,270
179
+ type one ุจูŠุณุงูˆูŠ ู…ุซู„ุงู‹ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุฃูˆ ูˆุงุญุฏ ููŠ
180
+
181
+ 46
182
+ 00:03:32,270 --> 00:03:36,170
183
+ ุงู„ู…ูŠุฉุŒ ู„ูƒู† ุฅุฐุง ูƒูŠู ู†ุญุณุจู‡ ู…ุงุฎุฏู†ู‡ูˆุดุŒ ุจุงู„ุชุงู„ูŠ ุงุซู†ูŠู† ูˆ
184
+
185
+ 47
186
+ 00:03:36,170 --> 00:03:38,930
187
+ ุซู„ุงุซูŠู†ุŒ ุซู„ุงุซุฉ ูˆ ุซู„ุงุซูŠู† ู„ุฃุŒ ุฃุฑุจุนุฉ ูˆ ุซู„ุงุซูŠู†ุŒ ุฃูŠุด
188
+
189
+ 48
190
+ 00:03:38,930 --> 00:03:42,870
191
+ ุจูŠุณุชุนู…ู„ ุงู„ confidence coefficientุŸ ู„ุฃ ู…ุงุฎุฏู†ุงุด
192
+
193
+ 49
194
+ 00:03:42,870 --> 00:03:47,710
195
+ confidence intervalsุŒ ุจุงู„ุชุงู„ูŠ ุงู„ุณุคุงู„ ู‡ุฐุง ูŠุนู†ูŠ ู…ู†
196
+
197
+ 50
198
+ 00:03:47,710 --> 00:03:53,550
199
+ ุฃุตู„ู‡ ู…ุด ู„ุงุฒู… ู†ุญู„ู‡ุŒ ุฎู„ุงุตุŸ ุงู„ confidence
200
+
201
+ 51
202
+ 00:03:53,550 --> 00:03:56,530
203
+ coefficient ู…ุนู†ุงู‡ุŒ one minus alpha ุตุญูŠุญุŒ ุจุณ
204
+
205
+ 52
206
+ 00:03:56,530 --> 00:04:01,460
207
+ ูŠุนู†ูŠ ู…ุด ู…ุณุชุงู‡ู„ ุจูƒูŠ ููŠ ุงู„ุงู…ุชุญุงู† ู…ุด ูุงุณุชุบุฑุจุŒ ูุจุงู„ุชุงู„ูŠ
208
+
209
+ 53
210
+ 00:04:01,460 --> 00:04:07,260
211
+ ุฎู„ุงุต ุชุณุนุฉ ูˆ ุนุดุฑุฉ ุจู„ุงุด ู…ู†ู‡ุŒ ุฃูŠุด ุบูŠุฑ ุชุณุนุฉ ูˆ ุนุดุฑุฉุŸ
212
+
213
+ 54
214
+ 00:04:07,260 --> 00:04:11,440
215
+ ุทูŠุจ ู„ู†ุง ู†ูุณ ุงู„ุณุคุงู„ ู‡ุฐุงุŒ ู„ูˆ ุทู„ุจุช ู…ู†ูƒ ุดุบู„ุชูŠู† ุฃุตุบุฑุŒ
216
+
217
+ 55
218
+ 00:04:11,440 --> 00:04:15,440
219
+ ู„ูˆ ุจุฏูŠ ุฃูƒุชุจ ุงู„ null hypothesis ูˆ ุงู„ alternate
220
+
221
+ 56
222
+ 00:04:15,440 --> 00:04:25,300
223
+ hypothesisุŒ ุงู„ null ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู‡ุฐุง ุฃู‚ู„ ูˆู‡ุฐุง
224
+
225
+ 57
226
+ 00:04:25,300 --> 00:04:30,500
227
+ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุจุงูุชุฑุงุถ
228
+
229
+ 58
230
+ 00:04:30,500 --> 00:04:39,020
231
+ ุงู„ X bar equal 490 ู…ูุชุฑุถ ุงู„ X bar ู‡ูŠูƒ ูˆุจุฏูŠ ุฃุนู…ู„
232
+
233
+ 59
234
+ 00:04:39,020 --> 00:04:43,020
235
+ test ู„ู„ claim ู‡ุณุชุฎุฏู… Z ู…ุด ู‡ูŠูƒ ู„ุฅู† ุงู„ sigma is known
236
+
237
+ 60
238
+ 00:04:44,430 --> 00:04:49,970
239
+ ูุงู„ Z ุนู„ู‰ ุทูˆู„ ุจุญุณุจู‡ุง ุงู„ X bar ูุงู„
240
+
241
+ 61
242
+ 00:04:49,970 --> 00:04:56,550
243
+ X bar ู…ุนุฑูˆูุฉ ูˆ ุงู„ Mu ู…ุนุฑูˆูุฉ ูˆ ุงู„ Sigma ุฎู…ุณูŠู† ูˆ ุงู„
244
+
245
+ 62
246
+ 00:04:56,550 --> 00:05:04,130
247
+ N ู…ูŠุฉ ูุงู„ุณุงู„ุจ ุนุดุฑุฉ ู…ุถุฑูˆุจุฉ ุฎู…ุณูŠู† ุนู„ู‰ ุนุดุฑุฉ fifty ุนู„ู‰
248
+
249
+ 63
250
+ 00:05:04,130 --> 00:05:09,910
251
+ ten ูŠุนู†ูŠ negative two Z negative two ู„ูˆ ุนุงูŠุฒุฉ
252
+
253
+ 64
254
+ 00:05:09,910 --> 00:05:10,650
255
+ ุฃุทู„ุน ุงู„ P value
256
+
257
+ 65
258
+ 00:05:15,360 --> 00:05:20,040
259
+ Z ุจุงู„ุณุงูˆูŠุฉ Z ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุงู„ุฃุชู†ูŠู†
260
+
261
+ 66
262
+ 00:05:20,040 --> 00:05:23,440
263
+ ุงู„ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุงู„ุฃุชู†ูŠู† ุทุงู„ุน ุนู„ู‰ Zero point 02 8
264
+
265
+ 67
266
+ 00:05:23,440 --> 00:05:27,740
267
+ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero point 02 8 8 ุซู…ุงู†ูŠุฉ Zero
268
+
269
+ 68
270
+ 00:05:27,740 --> 00:05:30,940
271
+ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero point 02 8 ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ
272
+
273
+ 69
274
+ 00:05:30,940 --> 00:05:31,120
275
+ Zero point 02 8 ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ
276
+
277
+ 70
278
+ 00:05:31,120 --> 00:05:32,860
279
+ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero point 02 8 ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ
280
+
281
+ 71
282
+ 00:05:32,860 --> 00:05:34,840
283
+ Zero point 02 8 ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ
284
+
285
+ 72
286
+ 00:05:34,840 --> 00:05:34,900
287
+ ุซู…ุงู†ูŠุฉ Zero point 02 8 ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero ุซู…ุงู†ูŠุฉ
288
+
289
+ 73
290
+ 00:05:34,900 --> 00:05:36,180
291
+ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ Zero point 02 8 ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ ุซู…ุงู†ูŠุฉ
292
+
293
+ 74
294
+ 00:05:36,180 --> 00:05:45,650
295
+ Zero point 02 8ุงุซู†ูŠู† ุงุซู†ูŠู†ุŸ ุงู„ุฌูˆุงุจ ุงุซู†ูŠู† ุงุซู†ูŠู†ุŸ ุฎู„ู‰
296
+
297
+ 75
298
+ 00:05:45,650 --> 00:05:55,590
299
+ .. ุฎู„ู‰ ู†ุทู„ุน ุงู„ุฌุฏูˆู„ ู‡ุงูŠ
300
+
301
+ 76
302
+ 00:05:55,590 --> 00:05:58,790
303
+ ุงู„ุณุงู„ุจ ุงุซู†ูŠู†ุŸ
304
+
305
+ 77
306
+ 00:06:10,860 --> 00:06:19,100
307
+ ุงู„ู‚ุฑุงุฑ reject ูˆ ู„ุง don't reject ูˆุงุถุญ at alpha 10%
308
+
309
+ 78
310
+ 00:06:19,100 --> 00:06:25,360
311
+ ุงู„ P value equals 0.028 smaller than alpha ุฅุฐุง
312
+
313
+ 79
314
+ 00:06:25,360 --> 00:06:29,140
315
+ reject
316
+
317
+ 80
318
+ 00:06:29,140 --> 00:06:33,200
319
+ ุงู„ 0 ุทูŠุจ ู‡ู„ ุงู„ conclusion ุชุจุนูŠ ุฃูˆ ุงู„ decision
320
+
321
+ 81
322
+ 00:06:33,200 --> 00:06:37,160
323
+ ู‡ูŠุชุบูŠุฑ ู„ูˆ ุบูŠุฑุช alphaุŸ ู„ุฃู† ู„ูˆ ุฃุฎุฐุช alpha ุจ
324
+
325
+ 82
326
+ 00:06:41,070 --> 00:06:48,450
327
+ ุจุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุนู†ุฏ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ู„ูˆ ุฃู„ูุง five
328
+
329
+ 83
330
+ 00:06:48,450 --> 00:06:55,090
331
+ percent ู†ูุณ ุงู„ู‚ุฑุงุฑ ุทุจ ู„ูˆ ุฃู„ูุง one percent ู„ูˆ ูˆุงุญุฏ
332
+
333
+ 84
334
+ 00:06:55,090 --> 00:06:59,410
335
+ ู…ู† ู…ูŠุฉ ู‡ุฐูŠ
336
+
337
+ 85
338
+ 00:06:59,410 --> 00:07:02,730
339
+ ุฃูƒุจุฑ ูุจุชุนุฑููŠ don't reject ุฅุฐุง ุงู„ decision ูŠุญุชู…ู„
340
+
341
+ 86
342
+ 00:07:02,730 --> 00:07:05,430
343
+ ุนู„ู‰ ุงู„ alpha ู…ู…ูƒู† reject ูˆ ู…ู…ูƒู† don't reject
344
+
345
+ 87
346
+ 00:07:11,870 --> 00:07:18,790
347
+ ุฃูŠุด ููŠู‡ ุณุคุงู„ ููŠ chapter 9ุŸ ุฃุนุทูŠู†ุง ุฑู‚ู… ุงู„ุณุคุงู„ ุทุจ
348
+
349
+ 88
350
+ 00:07:18,790 --> 00:07:23,070
351
+ ุทุงู„ุน ู„ 41 which of the following would be an
352
+
353
+ 89
354
+ 00:07:23,070 --> 00:07:28,190
355
+ appropriate null hypothesisุŸ ู…ูŠู† ู…ู†ุงุณุจ ู„ู„ nullุŸ
356
+
357
+ 90
358
+ 00:07:28,190 --> 00:07:32,480
359
+ the mean of a population is equal to 55 the mean of
360
+
361
+ 91
362
+ 00:07:32,480 --> 00:07:35,480
363
+ a sample is equal to 55 ู„ุญุธุฉ ุจูŠุญูƒูŠ mean of
364
+
365
+ 92
366
+ 00:07:35,480 --> 00:07:39,000
367
+ population ุฏุงุฆู…ุงู‹ ุงู„ testing ุจูŠูƒูˆู† about population
368
+
369
+ 93
370
+ 00:07:39,000 --> 00:07:45,240
371
+ parameter ุจุงู„ุชุงู„ูŠ ู‡ุฐู‡ ุตุญ ู‡ุฐู‡ ู…ุธุจูˆุทุฉ ู‡ูƒุฐุง ุขู‡ ุซุงู†ูŠุฉ
372
+
373
+ 94
374
+ 00:07:45,240 --> 00:07:49,840
375
+ the mean of sample ุทุจุนุงู‹ ุนุดุงู† ุงู„ sample ู…ุด ุตุญ the
376
+
377
+ 95
378
+ 00:07:49,840 --> 00:07:54,040
379
+ mean of population is greater than 55 ุจุญูƒูŠ ุนู„ู‰ ุงู„
380
+
381
+ 96
382
+ 00:07:54,040 --> 00:07:58,640
383
+ null ุงู„ null ุจุณ ุจูŠูƒูˆู† ููŠู‡ ุงู„ equal sign ู…ุด greater
384
+
385
+ 97
386
+ 00:07:58,640 --> 00:08:04,650
387
+ than ุจุงู„ุชุงู„ูŠ ุงู„ุฌูˆุงุจ ุจุณู‡ูˆู„ุฉ ุจูŠ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
388
+
389
+ 98
390
+ 00:08:04,650 --> 00:08:05,970
391
+ ุฃ ุฃูˆ ุฃ ๏ฟฝ๏ฟฝูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
392
+
393
+ 99
394
+ 00:08:05,970 --> 00:08:06,490
395
+ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
396
+
397
+ 100
398
+ 00:08:06,490 --> 00:08:14,350
399
+ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
400
+
401
+ 101
402
+ 00:08:14,350 --> 00:08:14,530
403
+ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
404
+
405
+ 102
406
+ 00:08:14,530 --> 00:08:15,090
407
+ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
408
+
409
+ 103
410
+ 00:08:15,090 --> 00:08:17,910
411
+ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ ุฃ ุฃูˆ
412
+
413
+ 104
414
+ 00:08:18,380 --> 00:08:23,880
415
+ is not lessุŒ ุฅูŠุด ูŠุนู†ูŠ is not lessุŸ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ
416
+
417
+ 105
418
+ 00:08:23,880 --> 00:08:28,520
419
+ ุงู„ proportion
420
+
421
+ 106
422
+ 00:08:28,520 --> 00:08:37,560
423
+ is not lessุŒ ู‡ุฐุง ุตุญ ูˆู„ุง ุบู„ุทุŸ ู‡ุฐุง ุตุญุŒ ู…ุธุจูˆุทุŒ ุจูŠู‡
424
+
425
+ 107
426
+ 00:08:37,560 --> 00:08:41,840
427
+ similar proportionุŸ ุฃูƒูŠุฏ ู„ุฃุŒ similar proportion
428
+
429
+ 108
430
+ 00:08:41,840 --> 00:08:46,250
431
+ ุฃูŠู‡ุง ููŠู‡ุง similar ู…ุด ุตุญ the population proportion is
432
+
433
+ 109
434
+ 00:08:46,250 --> 00:08:48,890
435
+ less than ุฑุจู…ุง ุงู„ูุญุด ุงู„ู„ูŠ ูƒุงู† ููŠู‡ ุนู†ุฏ ุงู„ู†ุงู„ุŒ
436
+
437
+ 110
438
+ 00:08:48,890 --> 00:08:53,710
439
+ ุจุงู„ุชุงู„ูŠ ุฎุฏุชูƒ ุซุงู†ูŠ ุงุฒุงูŠุŸ ูƒูˆูŠุณ ุชุนุฑููŠ ูƒูŠู ุชูƒุชุจูŠ ุงู„ null
440
+
441
+ 111
442
+ 00:08:53,710 --> 00:08:55,930
443
+ ูˆ ุงู„ alternate hypothesisุŒ ูุงูƒูŠุฏ ููŠ ุงู„ุงู…ุชุญุงู† ุจุณ ุนุดุงู†
444
+
445
+ 112
446
+ 00:08:55,930 --> 00:09:03,820
447
+ ุงุฒุงูŠ ุทูŠุจ ุชุณุนุฉ
448
+
449
+ 113
450
+ 00:09:03,820 --> 00:09:07,720
451
+ ุชุณุนุฉุŸ ู‡ูŠ
452
+
453
+ 114
454
+ 00:09:07,720 --> 00:09:14,160
455
+ ุชุณุนุฉ ุชุณุนุฉ ูˆูŠู† ุชุณุนุฉ
456
+
457
+ 115
458
+ 00:09:14,160 --> 00:09:14,940
459
+ ุชุณุนุฉุŸ
460
+
461
+ 116
462
+ 00:09:27,350 --> 00:09:37,870
463
+ ุณุคุงู„ ุฑู‚ู… ูƒุฏู‡ุŸ ุฑู‚ู… ุงู„ุณุคุงู„ 65 ู‡ุงูŠ
464
+
465
+ 117
466
+ 00:09:37,870 --> 00:09:45,810
467
+ ุชุณุนุฉ ุณุชุฉ ุชุณุนุฉ ุณุชุฉ ุชุณุนุฉ ุณุชุฉ ู…ุด ู‡ูŠูƒ ุณุงุนุฉ ุชุณุนุฉ ุณุชุฉ
468
+
469
+ 118
470
+ 00:09:45,810 --> 00:09:50,330
471
+ ุณุคุงู„ ุฎู…ุณุฉ ูˆุณุชูˆู† ุณุงุนุฉ ุณุชูŠู†
472
+
473
+ 119
474
+ 00:09:55,800 --> 00:10:05,900
475
+ ู…ุงููŠุด end ู‡ู†ุง ุชุณุนุฉ ุชุณุนุฉ ุณุคุงู„
476
+
477
+ 120
478
+ 00:10:05,900 --> 00:10:06,680
479
+ ุฃุฑุจุนุฉ ูˆ ุซู…ุงู†ูŠุฉ
480
+
481
+ 121
482
+ 00:10:13,670 --> 00:10:35,990
483
+ ุงู„ุณุคุงู„ ู‡ุฐุง ู…ุด ู‡ุงุฑุŸ ุจูŠุญูƒูŠ
484
+
485
+ 122
486
+ 00:10:35,990 --> 00:10:39,070
487
+ the president of university claimed that the
488
+
489
+ 123
490
+ 00:10:39,070 --> 00:10:45,630
491
+ entering class this year appeared to be larger than
492
+
493
+ 124
494
+ 00:10:45,630 --> 00:10:48,950
495
+ the entry class from previous years ูŠุนู†ูŠ ุจูŠุญูƒูŠ
496
+
497
+ 125
498
+ 00:10:48,950 --> 00:10:59,230
499
+ ุงู„ุณู†ุฉ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุฏุฎู„ูˆุง ุงู„ุฌุงู…ุนุฉ ุนุฏุฏู‡ู… ุฃูƒุซุฑ ู…ุด ู‡ูŠ ุฃูˆ
500
+
501
+ 126
502
+ 00:10:59,230 --> 00:11:05,010
503
+ larger but there means that score is lower than
504
+
505
+ 127
506
+ 00:11:05,010 --> 00:11:11,290
507
+ previous years ุฅุฐุง ููŠู‡ุง ุฃู†ุช ุดุบู„ุชูŠู† ุงู„ู†ู‚ุทุฉ ุงู„ุฃูˆู„ู‰
508
+
509
+ 128
510
+ 00:11:13,140 --> 00:11:17,400
511
+ ุงู„ู„ูŠ ุญูƒู‰ ุนู† ุงู„ entering ุนุฏุฏู‡ู…
512
+
513
+ 129
514
+ 00:11:17,400 --> 00:11:24,400
515
+ ูƒุงู† ุฃูƒุซุฑ ูƒุงู† larger ู„ูƒู†
516
+
517
+ 130
518
+ 00:11:24,400 --> 00:11:30,520
519
+ ุญูƒู‰ ุนู„ู‰ ุงู„ sat score ูƒุงู†
520
+
521
+ 131
522
+ 00:11:30,520 --> 00:11:35,960
523
+ lower he
524
+
525
+ 132
526
+ 00:11:35,960 --> 00:11:38,240
527
+ took a sample of twenty of this year entering
528
+
529
+ 133
530
+ 00:11:38,240 --> 00:11:40,860
531
+ students ุฃุฎุฐ ุนุดุฑูŠู† ู…ู† ู‡ุฏูˆู„
532
+
533
+ 134
534
+ 00:11:45,800 --> 00:11:52,880
535
+ ูˆุงู†ุชุดุฑุช ุฃู† mean sat scoreู‡ู… ุทู„ุน ุงู„ mean sat score ุนู„ู‰
536
+
537
+ 135
538
+ 00:11:52,880 --> 00:11:57,340
539
+ ุนู…ู„ูŠ 1501
540
+
541
+ 136
542
+ 00:11:57,340 --> 00:12:05,900
543
+ ูˆุนู„ู‰ ุนู…ู„ูŠ 53 ILS
544
+
545
+ 137
546
+ 00:12:05,900 --> 00:12:11,140
547
+ ุนุฑูุช ููŠ ุญุงู„ุฉ ุฃู† mean sat score ู„ุฏุฎูˆู„ ุงู„ุทู„ุงุจ ู…ู†
548
+
549
+ 138
550
+ 00:12:11,140 --> 00:12:15,240
551
+ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ the university record
552
+
553
+ 139
554
+ 00:12:15,240 --> 00:12:19,220
555
+ in the case that the mean sat score for entering
556
+
557
+ 140
558
+ 00:12:19,220 --> 00:12:24,400
559
+ students from previous year is ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุชุŒ
560
+
561
+ 141
562
+ 00:12:24,400 --> 00:12:33,360
563
+ ุฅูŠุด ูƒุงู†ุŸ ุฃูŠู‘ู‡ from previous yearุŸ ุงู„ mean ูƒุงู† ูƒุฐุง ูˆุดุŸ
564
+
565
+ 142
566
+ 00:12:33,360 --> 00:12:38,920
567
+ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† similar populationุŸ ู…ู…ุชุงุฒ population
568
+
569
+ 143
570
+ 00:12:40,620 --> 00:12:42,940
571
+ ู…ุงุญูƒูŠุด ูŠุงุฎุฐ ุทุจุนุงู‹ random sample of size ูƒุฐุง ูˆูŠุนุทุงู†ูŠ
572
+
573
+ 144
574
+ 00:12:42,940 --> 00:12:46,260
575
+ ู…ูŠู† ูƒุฐุง ุจูŠุญูƒูŠ ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุช ู…ู† ุงู„ุณู†ูˆุงุช ุงู„ู„ูŠ
576
+
577
+ 145
578
+ 00:12:46,260 --> 00:12:49,580
579
+ ูุงุชุช ู…ุนุงูƒ ุฃู†ุช ุนู†ุฏู‡ ูƒู„ู‡ scores ุงู„ average ุชุจุนู‡ู… ู…ุน
580
+
581
+ 146
582
+ 00:12:49,580 --> 00:12:54,820
583
+ ูƒุฏู‡ ุจุชุชูƒู„ู… ุนู† population ู…ูŠู† ูƒูˆูŠุณ he wants to find
584
+
585
+ 147
586
+ 00:12:54,820 --> 00:12:59,140
587
+ out if his claim is supported by the evidence at 5
588
+
589
+ 148
590
+ 00:12:59,140 --> 00:13:02,900
591
+ % level ุจุฏู‡ ูŠุดูˆู ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญ ูˆู„ุง ู„ุฃ ู‡ูˆ ุญูƒู‰ ุงู„
592
+
593
+ 149
594
+ 00:13:02,900 --> 00:13:07,240
595
+ sat value lower ุฅุฐุง ุฅู† ุงู„ hypothesis ู„ูˆ ุจุบูŠุฑ ู…ุง
596
+
597
+ 150
598
+ 00:13:07,240 --> 00:13:08,380
599
+ ุชุทู„ุน ุงู„ุฃุณุฆู„ุฉ ุงู„ mean
600
+
601
+ 151
602
+ 00:13:13,490 --> 00:13:22,130
603
+ 1520 ู…ุด ุนุงูŠุฒ ูŠุนู…ู„ testing ู„ูŠุด ู„ุง ูŠุณุงูˆูŠ ู‡ูˆ ุงู„ claim
604
+
605
+ 152
606
+ 00:13:22,130 --> 00:13:28,830
607
+ ุชุจุนู‡ ู„ู„ุฏุนุงุก ุฃู†ู‡ ุฃู‚ู„ ูุงู„ุชุงู„ูŠ ุฃู‚ู„ ู‡ูˆ ุจูŠุณุฃู„ the null
608
+
609
+ 153
610
+ 00:13:28,830 --> 00:13:35,210
611
+ hypothesis for this ุงู„ุตุฏ ู‡ูŠ null ู…ู…ูƒู† ุฌุฏุงู‹ ู…ู…ุชุงุฒ ู‡ุฐูŠ
612
+
613
+ 154
614
+ 00:13:35,210 --> 00:13:39,700
615
+ ู…ูƒุชูˆุจุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃูˆ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุงู„ุงุซู†ูŠู† ุตุญูŠุญุฉ
616
+
617
+ 155
618
+ 00:13:39,700 --> 00:13:45,360
619
+ ุงุญู†ุง just for simple use we use ฮผ equal .. not
620
+
621
+ 156
622
+ 00:13:45,360 --> 00:13:48,640
623
+ .. you can use either ฮผ equals fifteen hundred
624
+
625
+ 157
626
+ 00:13:48,640 --> 00:13:51,140
627
+ twenty or greater than or equal ู‡ุฏูˆู„ ุงู„ complement
628
+
629
+ 158
630
+ 00:13:51,140 --> 00:13:55,460
631
+ ุฅุฐุง ู‡ุฐู‡ ุฃู‚ู„ ุงู„ุซุงู†ูŠ ุด ุจุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุงู„ู…ู‡ู… ุงู„
632
+
633
+ 159
634
+ 00:13:55,460 --> 00:13:59,520
635
+ equal sign appears on the null hypothesis ุจุชูƒูˆู†
636
+
637
+ 160
638
+ 00:13:59,520 --> 00:14:05,800
639
+ ูˆุฌูˆุฏุฉ ู‡ู†ุง 1520 ุงู„ alternate hypothesis
640
+
641
+ 161
642
+ 00:14:05,800 --> 00:14:06,140
643
+ ู‡ูŠ
644
+
645
+ 162
646
+ 00:14:08,840 --> 00:14:13,340
647
+ ู…ุงุฐุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‚ูŠู…ุฉ critical value ุงู„ู„ูŠ ูŠุณุชุฎุฏู…ู‡ุง ุงู„ุญุฌุฑ
648
+
649
+ 163
650
+ 00:14:13,340 --> 00:14:18,180
651
+ ู„ุฅูŠู‚ุงู ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ู‡ูˆ ุงุชูƒู„ู… ุนู„ู‰ 5% ู…ุด ู‡ูŠูƒุŸ
652
+
653
+ 164
654
+ 00:14:18,180 --> 00:14:22,600
655
+ ูˆุจุชูƒู„ู… ุนู„ู‰ ุงู„ุฃุณูู„ ุชุงู„ุช ุงุณุช ุฃุณูู„ ูŠุนู†ูŠ ุงู„ area to
656
+
657
+ 165
658
+ 00:14:22,600 --> 00:14:31,720
659
+ the left Alpha 5% ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ู…ุด ุงู„ุณุงูˆูŠุฉุŸ ู…ู…ุชุงุฒุฉ
660
+
661
+ 166
662
+ 00:14:31,720 --> 00:14:35,140
663
+ negative one point six four five ุงู„ one point nine
664
+
665
+ 167
666
+ 00:14:35,140 --> 00:14:38,220
667
+ six ู‡ูˆ kind of two-tailed ู„ูƒู† ุงู„ one tail one point
668
+
669
+ 168
670
+ 00:14:38,220 --> 00:14:42,680
671
+ six four five it depends the sign either for lower
672
+
673
+ 169
674
+ 00:14:42,680 --> 00:14:45,500
675
+ tail is negative and upper tail is positive so
676
+
677
+ 170
678
+ 00:14:45,500 --> 00:14:51,020
679
+ that's for H1 ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ true or false the null
680
+
681
+ 171
682
+ 00:14:51,020 --> 00:14:54,760
683
+ hypothesis would be rejected ุฃุญู„ ุงู„ู…ุซู„ ู‡ุฐุง ูŠุฌุจ ุฃู†
684
+
685
+ 172
686
+ 00:14:54,760 --> 00:15:02,440
687
+ ุฃุญู„ ุงู„ุดูŠุก ุฃุณุชุฎุฏู… ูŠุง ุจุงุดุง ุงู„ T test ู„ูŠุด ู„ุฃู†ู‡ ุนู†ุฏู†ุง ุงู„
688
+
689
+ 173
690
+ 00:15:02,440 --> 00:15:07,380
691
+ sample ูˆุงุถุญุŸ ุทุจุนุงู‹ ู†ุญุชุงุฌ ุฃู† ู†ุนุชู…ุฏ ุนู„ู‰ ุฃู† ุงู„ู…ุฌุชู…ุน
692
+
693
+ 174
694
+ 00:15:07,380 --> 00:15:15,220
695
+ ู…ุณุชุนู…ู„ ู„ุฃู† N ุตุบูŠุฑ ูุงุทู„ุน ุงู„ T T X bar ู†ุงู‚ุต ฮผ ุนู„ู‰ S
696
+
697
+ 175
698
+ 00:15:15,220 --> 00:15:24,620
699
+ over square root of N ุงู„ X bar ู‡ูˆ 1501 ฮผ 1520
700
+
701
+ 176
702
+ 00:15:24,620 --> 00:15:33,740
703
+ over S 53 divided by square root of 20 ูุงุทู„ุน ุงู„ T
704
+
705
+ 177
706
+ 00:15:35,110 --> 00:15:40,290
707
+ this equals to negative 19 divided by ุดูˆู
708
+
709
+ 178
710
+ 00:15:40,290 --> 00:15:44,970
711
+ ุฅู†ูƒ 53 ุนู„ู‰ ุงู„ square root ู„ู„ุนุดุฑูŠู† ู†ุนู…
712
+
713
+ 179
714
+ 00:15:44,970 --> 00:15:53,450
715
+ ุฎู„ูŠู†ูŠ ุฃุญุณุจู‡ุง ููŠ ุงู„ุฃูˆู„ ุฃุญุฏ
716
+
717
+ 180
718
+ 00:15:53,450 --> 00:16:01,190
719
+ ูŠุญุณุจ ู„ูŠู‡ ูŠุนู†ูŠุŒ ุฃูŠุด ุจูŠุทู„ุน ุงู„ุฌูˆุงุจุŸ negative one point
720
+
721
+ 181
722
+ 00:16:01,190 --> 00:16:08,960
723
+ 66 ู‡ูŠ ุงู„ T statistic ุจุชุฑุฌุนูŠู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุนุดุงู†
724
+
725
+ 182
726
+ 00:16:08,960 --> 00:16:17,060
727
+ ุฃู‚ุฑู‘ุฃ ู„ู‡ ุงู„ู„ูŠ ุจุทู„ุน ู‡ุงูŠ ุงู„ T ุฎุฏู…ุชูƒ ุงู„ู„ูŠ ุทู„ุนุช ู‡ู†ุง ู‡ุฐุง
728
+
729
+ 183
730
+ 00:16:17,060 --> 00:16:22,200
731
+ ู„ูˆ ุจุณุชุฎุฏู…
732
+
733
+ 216
734
+ 00:19:20,050 --> 00:19:27,450
735
+ ู„ู…ุง ุงู„ alpha 10% ุฅุฐุง ุงู„ null rejected it true ุบูŠุฑ
736
+
737
+ 217
738
+ 00:19:27,450 --> 00:19:40,130
739
+ ูƒู…ุงู† ู…ุฑุฉ ู„ูˆ ุฃุฎุฏ alpha ุจ 1% ุจูŠุทู„ุน ุงู„ 1% ุจู…ุดูŠูƒ
740
+
741
+ 218
742
+ 00:19:40,130 --> 00:19:46,290
743
+ ู…ุน 1% two
744
+
745
+ 219
746
+ 00:19:46,290 --> 00:19:47,410
747
+ point five three nine
748
+
749
+ 220
750
+ 00:20:00,880 --> 00:20:09,400
751
+ -2.539$ ูˆุงุถุญุฉ ู‚ูŠู…ุฉ ุฏูŠ ู…ุงู„ู‡ุง ุจุฑุง ูˆู„ุง ุฌูˆุง ููŠ ุงู„ non
752
+
753
+ 221
754
+ 00:20:09,400 --> 00:20:16,120
755
+ rejection region ูู„ุง ู†ู†ุฌุญ ู…ู† ุงู„ hybrid ุฎู„ุงุต ุฅุฐุง ุฃู†ุง
756
+
757
+ 222
758
+ 00:20:16,120 --> 00:20:22,970
759
+ ู…ู…ูƒู† ุฃุญู„ ุงู„ู…ุณุฃู„ุฉ ุฏุงูŠู…ุง ุจุงู„ุชูŠู…ู†ูŠุนู†ูŠ ู…ุซู„ุง ุนู†ุฏ 5% ุฅูŠุด
760
+
761
+ 223
762
+ 00:20:22,970 --> 00:20:28,070
763
+ ูƒุงู† ุงู„ุฌูˆุงุจุŸ don't rejectุŒ ู…ุธุจูˆุทุŸ ุทุจ ุฅุฐุง ุนู†ุฏ 5%
764
+
765
+ 224
766
+ 00:20:28,070 --> 00:20:32,210
767
+ don't rejectุŒ ุฃูƒูŠุฏ ุนู†ุฏ 1%ุŸ ุจุฑุถู‡ don't rejectุŒ
768
+
769
+ 225
770
+ 00:20:32,210 --> 00:20:37,810
771
+ ู…ุธุจูˆุทุŸ ุฅุฐุง ุฃู†ุง ู…ุง ุจุฑูุถุด ุนู†ุฏ 5ุŒ ุฃูƒูŠุฏ ู…ุด ู‡ุฑูุถ ุนู†ุฏ 1ุŒ
772
+
773
+ 226
774
+ 00:20:37,810 --> 00:20:44,110
775
+ ู…ุธุจูˆุทุŸ ุฎู„ุงุตุŸ ุทูŠุจ ู„ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ P value ุฃูƒุจุฑ ู…ู†
776
+
777
+ 227
778
+ 00:20:44,110 --> 00:20:50,030
779
+ 5ุŒ ุฃูƒูŠุฏ ุงู„ P value ุฃูƒุจุฑ ู…ู† 1ุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ุฃู†ุง ู„ูˆ
780
+
781
+ 228
782
+ 00:20:50,030 --> 00:20:55,770
783
+ ูƒุงู†ุช ุงู„ P value 0.3 ูˆุงุฎุฏุช alpha ุจ 5% ุฃูƒูŠุฏ ุจูŠ ..
784
+
785
+ 229
786
+ 00:20:55,770 --> 00:21:02,110
787
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ .. ูŠุงุฎุฏู‡ุง 6% ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃูƒุจุฑ ู…ู† 5%
788
+
789
+ 230
790
+ 00:21:02,110 --> 00:21:05,670
791
+ ู…ุธุจูˆุทุŸ ุฅุฐุง we don't reject ู‡ู„ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏุŸ
792
+
793
+ 231
794
+ 00:21:05,670 --> 00:21:10,690
795
+ ุฃูƒุจุฑุŒ ุฅุฐุง we don't rejectุŒ ุฅุฐุง ุงู„ู€ 87 ูˆ 89 ุฌูˆุง ุฒูŠ
796
+
797
+ 232
798
+ 00:21:10,690 --> 00:21:14,350
799
+ ุจุนุถ ุทุจ ู„ูˆ ุฃุฎุฏุช alpha ุจ 10% ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู†
800
+
801
+ 233
802
+ 00:21:14,350 --> 00:21:19,090
803
+ ุงู„ุนุดุฑุฉ ุฃุตุบุฑุŒ ุจุงู„ุชุงู„ูŠ we reject ุฃู†ุชู… ู…ุนูŠ ูˆู„ุง ูƒูŠูุŸ
804
+
805
+ 234
806
+ 00:21:19,090 --> 00:21:25,030
807
+ ูŠุนู†ูŠ ุฃู†ุง ู„ูˆ ุฎุฏุช alpha ู…ุฎุชู„ูุฉ ุนู†ุฏ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉุŒ
808
+
809
+ 235
810
+ 00:21:25,030 --> 00:21:28,350
811
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฅุฐุง ุฃู†ุง ุฑูุถุช ุนู†ุฏ ุฎู…ุณุฉุŒ ุฅุฐุง ู…ุง ุฑูุถุชุด
812
+
813
+ 236
814
+ 00:21:28,350 --> 00:21:31,750
815
+ ุนู†ุฏ ุฎู…ุณุฉุŒ ุฃูƒูŠุฏ ู…ุด ู‡ุฑูุถ ุนู†ุฏ ูˆุงุญุฏุŒ ู„ูƒู† ู„ูˆ ุฎุฏุช
816
+
817
+ 237
818
+ 00:21:31,750 --> 00:21:38,970
819
+ alpha ุจุชู†ูŠู†ุŒ ู‡ู†ุง ุจุฑุถู‡ุŒ ุงูŠู‡ ุณูˆูŠุฉ ุชู…ุงู†ูŠู†ุŒ ู„ู†ูุณ
820
+
821
+ 238
822
+ 00:21:38,970 --> 00:21:43,970
823
+ ุงู„ุณุคุงู„ุŒ ุฑูƒุฒูŠ ูƒูˆูŠุณ ุงู„ุณุคุงู„ ู‡ู†ุง referring to scenario
824
+
825
+ 239
826
+ 00:21:43,970 --> 00:21:47,470
827
+ 99, the lowest level of significance at which the
828
+
829
+ 240
830
+ 00:21:47,470 --> 00:21:51,990
831
+ null can still be rejected ุงูŠู‡ ุงู„ P valueุŸ ุทู„ุน ุงู„
832
+
833
+ 241
834
+ 00:21:51,990 --> 00:21:55,950
835
+ P .. ู…ู…ูƒู† ุทู„ุน ุงู„ P value ุดูˆู ุฃู†ุง ู„ูˆ ุทู„ุนุช ุงู„ P
836
+
837
+ 242
838
+ 00:21:55,950 --> 00:22:04,670
839
+ valueุŒ ุจูƒูˆู† ุฃุณุฆู„ุฉ ุจุญุงู„ูŠ ุงู„ุทูŠุด ุณูˆูŠุช ููŠ ุงู„ุณุคุงู„ ุฏู‡ุŒ
840
+
841
+ 243
842
+ 00:22:04,670 --> 00:22:08,490
843
+ ู…ุธุจูˆุทุŸ ุทู„ุน ุงู„ P valueุงู„ู€ P value ุงู„ู„ูŠ ู‡ูŠ ุงู„
844
+
845
+ 244
846
+ 00:22:08,490 --> 00:22:11,430
847
+ probability ุงู„ู„ูŠ ู‡ูŠ ุงู„ probability P ุฃู‚ู„ ู…ู†
848
+
849
+ 245
850
+ 00:22:11,430 --> 00:22:15,430
851
+ negative one point six six ูู‡ุชุทู„ุน ู…ุด exact answer
852
+
853
+ 246
854
+ 00:22:15,430 --> 00:22:25,010
855
+ approximate result ู‡ุชุทู„ุน ุนู†ุฏ ุงูŠู‡ ุชุณุนุชุงุด ูˆุงุญุฏ ุณุชุฉ
856
+
857
+ 247
858
+ 00:22:25,010 --> 00:22:32,010
859
+ ุณุชุฉ ุชู‚ุฑูŠุจุง ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ู…ุด ู‡ูŠู ููˆุงุถุญ ู‡ูŠ ู‡ุชูƒูˆู† ุงู„
860
+
861
+ 248
862
+ 00:22:32,010 --> 00:22:35,630
863
+ P value ู‡ุฐู‡ ุฎู…ุณุฉ ู…ุด ู‡ูŠู is ุงู„ุฃูƒุจุฑ ุงู„ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
864
+
865
+ 249
866
+ 00:22:36,480 --> 00:22:46,480
867
+ ุชู‚ุฑูŠุจุง ุงู„ P value ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุซู…ุงู†ูŠุฉ ู…ู…ูƒู†
868
+
869
+ 250
870
+ 00:22:46,480 --> 00:22:53,200
871
+ ู…ู…ูƒู† ูŠุนู†ูŠ ู‡ุชูƒูˆู† ู…ุง ุจูŠู† ุงู„ู‚ู…ุชูŠู† ู‡ุฏูˆู„ ู…ุง ุจูŠู† ู„ุญุธุฉ ู…ุด
872
+
873
+ 251
874
+ 00:22:53,200 --> 00:22:57,060
875
+ ูƒุงุชุจ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุฃูˆ ุจุชูƒุชุจูŠู‡ุง ุงู„ P value ุฃูƒุจุฑ ู…ู†
876
+
877
+ 252
878
+ 00:22:57,060 --> 00:23:05,490
879
+ ุฎู…ุณุฉ ูˆู‚ุงู„ ู…ู† ู…ูŠู†ุŸ ู…ู† ุนุดุฑุฉ ุชุงุฎุฏ ุงู„ู€ average ู‡ูŠ
880
+
881
+ 253
882
+ 00:23:05,490 --> 00:23:12,310
883
+ ุญูˆุงู„ูŠู†ุง ู‚ูŠู…ุฉ ู…ู†ู‡ุง ูุจุงู„ุชุงู„ูŠ ู†ุฑุฌุน ุซุงู†ูŠ ู„ู„ุณุคุงู„ ุฅูŠุด
884
+
885
+ 254
886
+ 00:23:12,310 --> 00:23:17,130
887
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ significance level of significance at
888
+
889
+ 255
890
+ 00:23:17,130 --> 00:23:21,250
891
+ which the null still rejected ุฃู†ุง ุจุฃูุถู„ ุฅุฐุง ูƒุงู†ุช ุงู„
892
+
893
+ 256
894
+ 00:23:21,250 --> 00:23:25,730
895
+ P value ุฃุตุบุฑ ู…ู† Alpha ุงู„ P value ู…ู† Zero ู„ุบุงูŠุฉ ูˆุงุญุฏ ู…ู†
896
+
897
+ 257
898
+ 00:23:25,730 --> 00:23:30,770
899
+ ุงู„ุนุดุฑุฉ ุฅูŠุด Alpha ู‡ุชูƒูˆู† ุนุดุงู† ู‡ูŠ ุชูƒูˆู† ุฃุตุบุฑ ู…ู†ู‡ุง ุฎุฏ
900
+
901
+ 258
902
+ 00:23:30,770 --> 00:23:34,830
903
+ ุฃูŠ ู‚ูŠู…ุฉ ุงู„ู„ูŠ ูŠุนู†ูŠ ุงุญู†ุง we reject ุฅุฐุง ูƒุงู†ุช ุงู„ PV
904
+
905
+ 259
906
+ 00:23:34,830 --> 00:23:37,690
907
+ ุงู„ู„ูŠ ุฃุตุบุฑ ู…ู† AlphaุŒ ู…ุธุจูˆุทุŸ ุงู„ PV ุงู„ู„ูŠ ุจุชุงุนุฉ ู…ู†
908
+
909
+ 260
910
+ 00:23:37,690 --> 00:23:44,570
911
+ ุฎู…ุณุฉ ู„ูˆุงุญุฏุŒ ุฅูŠุด ูŠุงุฎุฏ AlphaุŸ ู„ูˆ ุฃุฎุฏุชู‡ุง Zero ุชุณุนุฉุŒ
912
+
913
+ 261
914
+ 00:23:44,570 --> 00:23:51,950
915
+ ุงู„ู„ูŠ ู‡ุฏูˆู„ ุงู„ู‚ูŠู… Zero ุฎู…ุณุฉ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฃู‚ู„ุŒ ุฅุฐุง
916
+
917
+ 262
918
+ 00:23:51,950 --> 00:23:55,550
919
+ we rejectุŒ ุจุฏูŠ ุฃู…ุดูŠุŒ ุฃู†ุง ู…ุด ุนุงุฑู ุฃู†ูŠ ู„ุบูŠุช ูˆุฃู† ุฃุตู„ุŒ
920
+
921
+ 263
922
+ 00:23:55,550 --> 00:24:02,220
923
+ ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู…ู…ูƒู† ุฃุฎุฏ ุชู…ุงู†ูŠุฉ ู…ู† ุงู„ู…ูŠุฉุŒ ู…ุธุจูˆุทุŸ ู„ุฃู†
924
+
925
+ 264
926
+ 00:24:02,220 --> 00:24:05,740
927
+ ุฃู†ุง ู…ุด ุจุฃุทู„ุน ุงู„ู€ P value ุงู„ู€ exact answer ู„ูˆ ูƒุชุทู„ุน
928
+
929
+ 265
930
+ 00:24:05,740 --> 00:24:09,360
931
+ ุงู„ู‚ูŠู…ุฉ ุงู„ูุนู„ูŠุฉ ู„ู„ู€ P value ุฅูŠุด ุจุฏุนู…ู„ู‡ ุงู„ู€ TTL
932
+
933
+ 266
934
+ 00:24:09,360 --> 00:24:15,220
935
+ ู…ุง ุจุทู„ุนู‡ุงุด ู…ู…ูƒู† ุฃุทู„ุนู„ูƒ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ exact ู…ู† ุงู„ู€
936
+
937
+ 267
938
+ 00:24:15,220 --> 00:24:19,200
939
+ Excel ูŠุนู†ูŠ ุฃูุชุฑุถ ุฃู† ุฃู†ุง ู…ุนุงูŠุง Excel ุจุฃุทู„ุน ุงู„ P
940
+
941
+ 268
942
+ 00:24:19,200 --> 00:24:22,100
943
+ value ุฃูˆุฑูŠูƒ ูƒูŠู ุฃุทู„ุน ุงู„ P value ููŠ ุงู„ Excel ู„ูˆ
944
+
945
+ 269
946
+ 00:24:22,100 --> 00:24:26,000
947
+ ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ุฏูŠ ู…ูˆุฌูˆุฏุฉ ุฑูƒุฒูŠ ู…ุนูŠ
948
+
949
+ 270
950
+ 00:24:30,740 --> 00:24:42,280
951
+ ู‡ูŠ ุงู„ู€ T ุฃู…ุง ุฃู†ุง ุทู„ุนุช ุงู„ู€ P-Value ู‡ูŠ
952
+
953
+ 271
954
+ 00:24:42,280 --> 00:24:46,900
955
+ ุทู„ุนุช ุงู„ P-Value ุจุณ ู‡ู… ู…ุง ุชุทู„ุนุด ุงู„ู€ Exact Answer ุงู„ู€
956
+
957
+ 272
958
+ 00:24:46,900 --> 00:24:50,420
959
+ T ู…ุง ุชุทู„ุนุด ุชู‚ูŠู…ู‡ุง ุงู„ูุนู„ูŠุฉ ุฎู„ูŠู†ุง ู†ุทู„ุนู‡ุง ูƒูŠู ุงู„ู€
960
+
961
+ 273
962
+ 00:24:50,420 --> 00:24:54,640
963
+ Excel ู‡ูŠ ุงู„ู€ DF ู…ุชุณุงูˆูŠุฉ 19
964
+
965
+ 274
966
+ 00:24:58,110 --> 00:25:00,810
967
+ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ู€ P value ูุชุฑุถูŠ ู‡ูŠูƒ ุงู„ P value
968
+
969
+ 275
970
+ 00:25:00,810 --> 00:25:06,130
971
+ ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P value ูุชุฑุถูŠ ู‡ูŠูƒ P
972
+
973
+ 276
974
+ 00:25:06,130 --> 00:25:08,450
975
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P value ูุชุฑุถูŠ
976
+
977
+ 277
978
+ 00:25:08,450 --> 00:25:11,090
979
+ ู‡ูŠูƒ P value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P value
980
+
981
+ 278
982
+ 00:25:11,090 --> 00:25:15,750
983
+ ูุชุฑุถูŠ ู‡ูŠูƒ P value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P
984
+
985
+ 279
986
+ 00:25:15,750 --> 00:25:16,370
987
+ ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ
988
+
989
+ 280
990
+ 00:25:16,370 --> 00:25:17,950
991
+ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง
992
+
993
+ 281
994
+ 00:25:17,950 --> 00:25:21,650
995
+ ุฃุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ ูŠุนู†ูŠ ุฅุฐุง ุฃุนุทูŠุชูƒ ุงู„ P
996
+
997
+ 282
998
+ 00:25:21,650 --> 00:25:25,490
999
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนูƒ
1000
+
1001
+ 283
1002
+ 00:25:27,390 --> 00:25:31,950
1003
+ ุงู„ู€ exact answer 05666 ุฃู†ุง ุญูƒูŠุชุด ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡
1004
+
1005
+ 284
1006
+ 00:25:31,950 --> 00:25:36,050
1007
+ ู…ุธุจูˆุทุŸ ู‡ูŠ ุฃูƒุจุฑ ู…ู†ู‡ุง ูˆุฃู‚ู„ ู…ู† ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ุทู„ุนุช ุงู„ู€
1008
+
1009
+ 285
1010
+ 00:25:36,050 --> 00:25:39,550
1011
+ exact ุดูุช ุณุงูˆูŠุŸ
1012
+
1013
+ 286
1014
+ 00:25:39,550 --> 00:25:47,630
1015
+ 05666 ู†ุฑุฌุน ุซุงู†ูŠ ู„ู„ุณุคุงู„ ู‡ูˆ ุจูŠุณุฃู„ ู‚ุฏุงุด ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„
1016
+
1017
+ 287
1018
+ 00:25:47,630 --> 00:25:53,290
1019
+ Alpha ุนุดุงู† ุณูŠู„ูˆูŠ ูŠ reject ุฅุฐุง ู„ูˆ ุฃู†ุง ู‡ุงุฏูŠ ุฃุตุบุฑ ู…ู†
1020
+
1021
+ 288
1022
+ 00:25:53,290 --> 00:25:59,570
1023
+ ู…ูŠู†ุŸ ุฎุฏูŠ Alpha ู„ูˆ ูƒุงู†ุช ุจ 1% ู…ุด ู‡ูŠู†ูุน ู…ุธุจูˆุท ูˆู„ุง 2%
1024
+
1025
+ 289
1026
+ 00:25:59,570 --> 00:26:06,350
1027
+ ูˆู„ุง 3% ูˆู„ุง 5% ุนู† 6% ู‡ูŠ ุฃู‚ู„ ู…ุธุจูˆุท ุจุงู„ุชุงู„ูŠ ุฃุตุบุฑ ู‚ูŠู…ุฉ
1028
+
1029
+ 290
1030
+ 00:26:06,350 --> 00:26:09,410
1031
+ ุงู„ alpha ุณูˆุงุก 6% ู„ุญุธุฉ ู„ู…ุง ุจุฏุฃุช ุฃุญู„ ุจุฏุฃุช ุฃุญู„ ุนู„ู‰ 8%
1032
+
1033
+ 291
1034
+ 00:26:09,410 --> 00:26:13,530
1035
+ ู„ุฃู†ู‡ ุฃู‚ู„ ู…ู† 1 ู…ู† 10 ุฃู†ุช ุงุนุชุจุฑ ููŠ ุงู…ุชุญุงู† ุฃู†ุง ุจูŠุนุทูŠูƒ
1036
+
1037
+ 292
1038
+ 00:26:13,530 --> 00:26:17,550
1039
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุญูƒูŠุชู„ูƒ ุฅูŠุด ุฃุตุบุฑ ู‚ูŠู…ุฉ ุงู„ alpha ุงู„ cell
1040
+
1041
+ 293
1042
+ 00:26:17,550 --> 00:26:20,570
1043
+ we can choose ุงู„ cell we reject ุฃูˆ ู„ุง ู„ุง ูŠุจู‚ู‰
1044
+
1045
+ 294
1046
+ 00:26:20,570 --> 00:26:20,770
1047
+ ุจุงุณู…ู‡ุง
1048
+
1049
+ 295
1050
+ 00:26:26,420 --> 00:26:31,400
1051
+ ู‡ุฐู‡ ุจูŠ value ูˆู„ุง ุจุชุญูƒูŠ ุนู† ุงู„ู„ูŠ ู‡ู†ุง ู‡ุฐู‡ ู…ุง ุจุทู„ู‚ุด
1052
+
1053
+ 296
1054
+ 00:26:31,400 --> 00:26:34,540
1055
+ exact answer ุงู„ table ู…ุง ุจูŠุนุทูŠุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนู„ูŠุฉ ุจูŠุนุทูŠ
1056
+
1057
+ 297
1058
+ 00:26:34,540 --> 00:26:37,920
1059
+ ุจูŠู† ุฎู…ุชูŠู† ู‡ูŠ ุจูŠู† ุฎู…ุชูŠู†ุŒ ุจูŠู† zero ูˆ ุฎู…ุณุฉ ูˆ two ุงู„
1060
+
1061
+ 298
1062
+ 00:26:37,920 --> 00:26:43,640
1063
+ exact answer ู‡ูŠ ุงู„ answer suppose ุจูŠ values given
1064
+
1065
+ 299
1066
+ 00:26:43,640 --> 00:26:47,880
1067
+ ูˆ ุจุฏูŠ ุฃุฌุงุจุฉ ุนู„ู‰ ุงู„ุณุคุงู„ ุจุทู„ุน ุฃุตุบุฑ ู‚ูŠู…ุฉ ุฃู„ุง ุชูƒูˆู†
1068
+
1069
+ 300
1070
+ 00:26:47,880 --> 00:26:53,800
1071
+ ู‚ุฏุงุดุฑ ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡ ู…ุธุจูˆุท ู…ุด ุนุงุฌุจุงูƒูŠ ู‡ุฐู‡ ุฎุฏูŠู‡ุง zero,
1072
+
1073
+ 301
1074
+ 00:26:54,020 --> 00:27:00,360
1075
+ ุฎู…ุณุฉ, ุณุชุฉ, ุณุจุนุฉ ู…ุธุจูˆุทุŸ ุฃูŠ ุญุงุฌุฉ ูˆุงุถุญ ุฃู† ู‡ุฐุง ุฃุตุบุฑ
1076
+
1077
+ 302
1078
+ 00:27:00,360 --> 00:27:06,560
1079
+ ู…ู†ู‡ุงุŒ ู„ุฐุงู„ ุณูŠู„ ุจูŠ reject ุทูŠุจ ุงู„ุจุนุฏ
1080
+
1081
+ 303
1082
+ 00:27:06,560 --> 00:27:10,420
1083
+ ุนูƒุณู‡ the highest level of significance at which
1084
+
1085
+ 304
1086
+ 00:27:10,420 --> 00:27:14,360
1087
+ the null cannot be rejected ุฃู†ู‡ ู…ูุฑูˆุถู‡ุงุดุŒ ุฃู†ุง
1088
+
1089
+ 305
1090
+ 00:27:14,360 --> 00:27:19,920
1091
+ ู…ูุฑูˆุถุด ู‡ุฐู‡ ุฅุฐุง ูƒุงู†ุช P value ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูƒุจุฑ ู…ู†
1092
+
1093
+ 306
1094
+ 00:27:19,920 --> 00:27:24,740
1095
+ ู…ูŠู†ุŸ ุฎู…ุณุฉ
1096
+
1097
+ 307
1098
+ 00:27:24,740 --> 00:27:28,230
1099
+ ู…ู† ู…ูŠู†ุŸ ู…ุธุจูˆุทุŸ ู„ูˆ ุฃุฎุฏุช Alpha ููŠ 5%ุŒ ูุชูƒูˆู† ู‡ุฐุง
1100
+
1101
+ 308
1102
+ 00:27:28,230 --> 00:27:31,790
1103
+ ุงู„ู€ highest ุทุจุนุงู‹ ุทุจุนุงู‹ ู…ู…ูƒู† ุชูƒูˆู† 4%ุŒ ู…ู…ูƒู† 3%ุŒ ู„ูƒู†
1104
+
1105
+ 309
1106
+ 00:27:31,790 --> 00:27:37,290
1107
+ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุฅูŠุดุŸ ูŠุนู†ูŠ ุฃู†ุง ู‡ูŠ ุงู„ู€ line ุงู„ู€ P value ู‡ูŠู‡ุง
1108
+
1109
+ 310
1110
+ 00:27:37,290 --> 00:27:42,170
1111
+ We don't reject ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ุชุญุช ุงู„ู€ P value
1112
+
1113
+ 311
1114
+ 00:27:42,170 --> 00:27:46,830
1115
+ ู…ุงู„ู‡ุง ุฃูƒุจุฑ ู…ู† ุงู„ู€ Alpha ุงู„ู€ Alpha ู‡ุชูƒูˆู† ุฃูŠู† ู…ูˆุฌูˆุฏุฉุŸ
1116
+
1117
+ 312
1118
+ 00:27:46,830 --> 00:27:51,430
1119
+ ู‡ู†ุงุŒ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŸ ุฃู‡ ุฃู‡ ู…ุตุฏูˆู…ุŸ ุจุชู„ุงู‚ูŠ ุฃูŠ
1120
+
1121
+ 313
1122
+ 00:27:51,430 --> 00:27:57,020
1123
+ ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู† ู‡ุฐุง ุจุดูˆูŠุฉ ุฎุฏูŠู‡ุง 0.5 ุฃูˆ ู…ุง ุดุงุก ุงู„ู„ู‡
1124
+
1125
+ 314
1126
+ 00:27:57,020 --> 00:28:00,600
1127
+ ุงุญู†ุง ู…ุด ู‡ู†ุงุฎุฏ ุนู„ุงู…ุงุช ุนุดุฑูŠุฉ ุฎู„ุงุต ุฅู…ุง 05 ุฃูˆ 06 ุฃูˆ ู…ุง
1128
+
1129
+ 315
1130
+ 00:28:00,600 --> 00:28:03,800
1131
+ ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชู‚ู„ ู„ุดูŽุฑู’ุทุฉ ุงู„ุนุดุฑุฉ
1132
+
1133
+ 316
1134
+ 00:28:12,880 --> 00:28:14,100
1135
+ ุงู„ุณุงุนุฉ ุงุชู†ูŠู† ูˆุชู…ุงู†ูŠู†
1136
+
1137
+ 317
1138
+ 00:28:45,340 --> 00:28:57,620
1139
+ ุจุงู„ู†ุณุจุฉ ู„ู„ูˆุธูŠูุฉุŒ ุจุงู„ู†ุณุจุฉ
1140
+
1141
+ 318
1142
+ 00:28:57,620 --> 00:29:04,130
1143
+ ู„ู„ูˆุธูŠูุฉ ุงู„ุณูŠู†ุงุฑูŠูˆ ุนุดุฑ ูˆ ุฃุญุฏ ุนุดุฑ ุฎู„ู†ุง ู†ู‚ุฑุฃ ููŠ ุงู„ุฃูˆู„
1144
+
1145
+ 319
1146
+ 00:29:04,130 --> 00:29:17,430
1147
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ู…ุฏูŠุฑ
1148
+
1149
+ 320
1150
+ 00:29:17,430 --> 00:29:25,020
1151
+ ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู† ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ู„ูŠ
1152
+
1153
+ 321
1154
+ 00:29:25,020 --> 00:29:31,080
1155
+ ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ููŠ ุงู„ูŠูˆู… ุงู„ุงุฌุชู…ุงุนูŠ ุนู„ูŠู†ุง
1156
+
1157
+ 322
1158
+ 00:29:31,080 --> 00:29:36,200
1159
+ ุฅุฌุงุจุฉ ู‡ูŠ ู…ุงู„ุนุฒุจ ุฃู‚ุฑุฃ ุงู„ุณุคุงู„ ูˆู„ุงุŸ ูˆู…ู† ุบูŠุฑ ุฃู‚ุฑุฃ
1160
+
1161
+ 323
1162
+ 00:29:36,200 --> 00:29:40,600
1163
+ ุงู„ุณุคุงู„ ู…ุด ุนุงุฑู ุฃุญู„ู‡ he
1164
+
1165
+ 324
1166
+ 00:29:40,600 --> 00:29:44,100
1167
+ is particularly interested in seeing if there is a
1168
+
1169
+ 325
1170
+ 00:29:44,100 --> 00:29:46,920
1171
+ difference in this proportion for accounting and
1172
+
1173
+ 326
1174
+ 00:29:46,920 --> 00:29:50,500
1175
+ economics majors ููŠู‡ two majors economics
1176
+
1177
+ 327
1178
+ 00:29:58,820 --> 00:30:02,740
1179
+ accounting in a random sum of hundred of each ุฃุฎุฏ
1180
+
1181
+ 328
1182
+ 00:30:02,740 --> 00:30:10,800
1183
+ ู…ูŠุฉ ู…ู† ุงู„ูƒู„ ูˆูƒู„ ูˆุงุญุฏ he
1184
+
1185
+ 329
1186
+ 00:30:10,800 --> 00:30:20,300
1187
+ found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and 52
1188
+
1189
+ 330
1190
+ 00:30:20,300 --> 00:30:30,310
1191
+ ู…ู† ุงู„ economic majors ู‡ุฐู‡ ุงู„ู€ access ู‡ุฐู‡
1192
+
1193
+ 331
1194
+ 00:30:30,310 --> 00:30:34,490
1195
+ job offers ู‡ุฐูˆู„ ุงู„ู„ูŠ ู„ุฌูˆุง ุดุบู„ if the accounting
1196
+
1197
+ 332
1198
+ 00:30:34,490 --> 00:30:37,910
1199
+ majors are designed as group one ุงู„ accounting
1200
+
1201
+ 333
1202
+ 00:30:37,910 --> 00:30:43,650
1203
+ ู‡ุฐูˆู„ group one ุฏุฎู„ู†ุง ุจุณ ู†ุนู…ู„ switching ูˆู‡ุฐูˆู„
1204
+
1205
+ 334
1206
+ 00:30:43,650 --> 00:30:44,050
1207
+ group two
1208
+
1209
+ 335
1210
+ 00:30:51,890 --> 00:30:55,030
1211
+ perform the appropriate hypothesis testing using
1212
+
1213
+ 336
1214
+ 00:30:55,030 --> 00:31:01,610
1215
+ level of significance alpha five percent ุงู„ุณุคุงู„
1216
+
1217
+ 337
1218
+ 00:31:01,610 --> 00:31:07,130
1219
+ ุงู„ุฃูˆู„ the hypothesis the dean should be used use R
1220
+
1221
+ 338
1222
+ 00:31:07,130 --> 00:31:10,650
1223
+ ู‡ูˆ
1224
+
1225
+ 339
1226
+ 00:31:10,650 --> 00:31:16,900
1227
+ ุฅูŠุด ุญูƒู‰ ุงู„ุณุคุงู„ุŸ ุญูƒู‰ difference ูˆุฎู„ุงุต ู…ุน ูƒุฏู‡ two
1228
+
1229
+ 340
1230
+ 00:31:16,900 --> 00:31:20,800
1231
+ -tailed ูˆุงุถุญ a is not the correct answer ููŠู‡ equal
1232
+
1233
+ 341
1234
+ 00:31:20,800 --> 00:31:30,200
1235
+ sign ุจูŠู‡ is the correct answer 82 ุงู„ุขู† ุจูŠุญูƒูŠ the
1236
+
1237
+ 342
1238
+ 00:31:30,200 --> 00:31:33,780
1239
+ null hypothesis will be rejected if the test
1240
+
1241
+ 343
1242
+ 00:31:33,780 --> 00:31:39,020
1243
+ statistic is .. ุจูŠุญูƒูŠ ุงู„ null will be rejected ุฅุฐุง
1244
+
1245
+ 344
1246
+ 00:31:39,020 --> 00:31:43,880
1247
+ ูƒุงู† ุงู„ test ูƒุฐุงุŒ ูุชุญุณุจ ุงู„ z ูŠุนู†ูŠ ู…ู…ูƒู† ุชุญุณุจ ุงู„ z
1248
+
1249
+ 345
1250
+ 00:31:43,880 --> 00:31:44,240
1251
+ instead
1252
+
1253
+ 346
1254
+ 00:31:48,310 --> 00:31:53,290
1255
+ ู…ุงุดูŠ ุฃู†ุง ุจุฃุญูƒูŠ the null will be rejected if the
1256
+
1257
+ 347
1258
+ 00:31:53,290 --> 00:31:59,170
1259
+ this statistic is .. ุทูŠุจ ุฅุฐุง ุฎู„ุงุต ุฅุฐุง ุฃู†ุง ุจุฏูŠ ุฃุญู„ู‡ุง
1260
+
1261
+ 348
1262
+ 00:31:59,170 --> 00:32:04,670
1263
+ ุฃู†ุง ุจุฃุญูƒูŠ ุฅุฐุง ูƒุงู†ุช this statistic ู…ุงู„ู‡ุง ุฃูƒุจุฑ ุฃูˆ
1264
+
1265
+ 349
1266
+ 00:32:04,670 --> 00:32:08,010
1267
+ ุฃุนุธู… ู…ู† ุงู„ critical value ู„ูƒู† ู‡ู„ ู‡ูˆ ุนุงูŠุฒ ู‚ูŠู…ุฉ this
1268
+
1269
+ 350
1270
+ 00:32:08,010 --> 00:32:13,090
1271
+ statistic ุทุจุนุง ู„ุฃ if is greater than ุฌูˆุงุจ ู‡ูŠูƒ ุฅุฐุง
1272
+
1273
+ 351
1274
+ 00:32:13,090 --> 00:32:14,310
1275
+ ูƒุงู†ุช this statistic is
1276
+
1277
+ 352
1278
+ 00:32:17,320 --> 00:32:26,580
1279
+ Z greater than Z alpha over 2 ุฃูˆ Z
1280
+
1281
+ 353
1282
+ 00:32:26,580 --> 00:32:29,360
1283
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1284
+
1285
+ 354
1286
+ 00:32:29,360 --> 00:32:30,640
1287
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1288
+
1289
+ 355
1290
+ 00:32:30,640 --> 00:32:30,680
1291
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1292
+
1293
+ 356
1294
+ 00:32:30,680 --> 00:32:30,820
1295
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1296
+
1297
+ 357
1298
+ 00:32:30,820 --> 00:32:31,900
1299
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1300
+
1301
+ 358
1302
+ 00:32:31,900 --> 00:32:36,640
1303
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1304
+
1305
+ 359
1306
+ 00:32:36,640 --> 00:32:38,640
1307
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z
1308
+
1309
+ 360
1310
+ 00:32:38,640 --> 00:32:45,240
1311
+ ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ ุฃูˆ Z ุซุงู†ูˆูŠุฉ
1312
+
1313
+ 361
1314
+ 00:32:46,580 --> 00:32:49,920
1315
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ Z-stat ูุงู„ูˆุณุท ุฃูˆ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŒ
1316
+
1317
+ 362
1318
+ 00:32:49,920 --> 00:32:52,520
1319
+ ูู†ู†ู‚ู„ู‡ุง ู…ู† ุงู„ hypothesis ู‡ุฐุง ุงู„ู€ answer ุจุชุงุน ุงูŠุชูˆุŒ
1320
+
1321
+ 363
1322
+ 00:32:52,520 --> 00:32:57,580
1323
+ ูˆุงุถุญุŸ ุงูŠุชูˆ ุซู„ุงุซุฉุŒ ุงู„ู€ value of the test statisticุŒ
1324
+
1325
+ 364
1326
+ 00:32:57,580 --> 00:33:04,140
1327
+ ูŠุนู†ูŠ ุทู„ุจ ุงู„ู€ value ุจุฃุญุณุจู‡ุง ุจุณ ุนุดุงู† ุฃุญุณุจู‡ุงุŒ ููŠ ุนู†ุฏูŠ
1328
+
1329
+ 365
1330
+ 00:33:04,140 --> 00:33:09,560
1331
+ ุฃูƒุซุฑ ุฎุทูˆุฉ ู„ุงุฒู… ุฃุนู…ู„ู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„ู‚ุงู†ูˆู† ู‡ูŠ P1 minus
1332
+
1333
+ 366
1334
+ 00:33:09,560 --> 00:33:21,960
1335
+ P2 minus P1 minus P2 divide by P' ุทุจุนุง
1336
+
1337
+ 367
1338
+ 00:33:21,960 --> 00:33:30,700
1339
+ ุงู„ hypothesis ุจู‚ูˆู„ ุฃู† P1 equals P2 ูˆ ุงู„ุซุงู†ูŠ P1 does
1340
+
1341
+ 368
1342
+ 00:33:30,700 --> 00:33:39,220
1343
+ not equal P2 ุทุจุนุง ุงู„ P1 ุจุฃุทู„ุนู‡ุง P1
1344
+
1345
+ 369
1346
+ 00:33:39,220 --> 00:33:42,840
1347
+ X1 ุนู„ู‰ N1 ุงู„ู„ูŠ ู‡ูŠ 65
1348
+
1349
+ 370
1350
+ 00:33:47,380 --> 00:33:53,480
1351
+ ูˆุจุฃุทู„ุน ุงู„ P2 ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ X2 ูˆ Y2 ุฎู…ุณุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1352
+
1353
+ 371
1354
+ 00:33:53,480 --> 00:33:57,580
1355
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1356
+
1357
+ 372
1358
+ 00:33:57,580 --> 00:33:58,320
1359
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1360
+
1361
+ 373
1362
+ 00:33:58,320 --> 00:33:58,480
1363
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1364
+
1365
+ 374
1366
+ 00:33:58,480 --> 00:34:01,300
1367
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1368
+
1369
+ 375
1370
+ 00:34:01,300 --> 00:34:01,960
1371
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1372
+
1373
+ 376
1374
+ 00:34:01,960 --> 00:34:14,220
1375
+ ูˆุงุซ
1376
+
1377
+ 377
1378
+ 00:34:15,610 --> 00:34:21,050
1379
+ ุจูŠู†ูุน ู„ุฃู† ุงู„ุงุชู†ูŠู† ุฒูŠ ุจุนุถ ุงู„ู€ sample size ุนู„ู‰ ุงู„ู€
1380
+
1381
+ 378
1382
+ 00:34:21,050 --> 00:34:27,750
1383
+ N1 ุฒูŠ ุงู„ู€ N2 ุนู„ู‰ ุงู„ู…ุญุชุฌุฉุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ู‡ุฐุง ุฃู‚ุฑุจ ุนู„ู‰
1384
+
1385
+ 379
1386
+ 00:34:27,750 --> 00:34:35,850
1387
+ point .. one point ุฌุณู…ูŠ
1388
+
1389
+ 380
1390
+ 00:34:35,850 --> 00:34:36,190
1391
+ ู„ู‡ู…
1392
+
1393
+ 381
1394
+ 00:34:49,170 --> 00:34:52,830
1395
+ ุงู„ุฌูˆุงุจ ุฃูƒูŠุฏ ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุชู‡ ุจุนุฏ ู…ุง ุชุนุจุช ู‡ูˆ
1396
+
1397
+ 382
1398
+ 00:34:52,830 --> 00:34:56,490
1399
+ ุนุจุงุฑุฉ ุนู† ุงู„ average ุงู„ุชู†ุชูŠู† ู‡ุฏูˆู„ ุงู„ู„ูŠ ู‡ู… ุงู„ุชุงู†ูŠ
1400
+
1401
+ 383
1402
+ 00:34:56,490 --> 00:34:56,830
1403
+ ุงู„ู„ูŠ ู‡ู†ุง
1404
+
1405
+ 384
1406
+ 00:35:02,590 --> 00:35:07,090
1407
+ ุฎู„ุงุตุŸ ุฅุฐุง ุจู‚ุฏุฑ ุงู„ู€ P' ููŠ ุญุงู„ู‡ุง ุฏูŠ ุนุจุงุฑุฉ ุนู† P1 plus
1408
+
1409
+ 385
1410
+ 00:35:07,090 --> 00:35:11,410
1411
+ P2 ุนู„ู‰ ุงุชู†ูŠู†ุŒ ุจูŠู†ูุน ุงู„ุณุจุจ ุฃู† ุงู„ู€ sample sizes are the
1412
+
1413
+ 386
1414
+ 00:35:11,410 --> 00:35:16,290
1415
+ same ุทุจ ู…ู…ูƒู† ู‡ู†ุณุจุชู‡ุง ุฑูŠุงุถูŠุงุŒ ู‡ู†ุณุจุชู‡ุง ุณู‡ู„ุฉ ุนู„ู‰
1416
+
1417
+ 387
1418
+ 00:35:16,290 --> 00:35:19,890
1419
+ ุงู„ุนู…ูˆู…ุŒ ู‡ุงูŠ ุงู„ู€ P' ุนูŠุด ูƒู„ ุงุญุชุฌุงู… ุงู„ู„ูŠ ู‡ุชุนูˆุฏ ู‡ู†ุง ูˆ
1420
+
1421
+ 388
1422
+ 00:35:19,890 --> 00:35:25,990
1423
+ ุชุทู„ุน ู‚ูŠู…ุฉ ุงู„ู€ ZุŒ ุฎู„ุงุตุŸ ูŠุนู†ูŠ ุงู„ู€ P1 ู‡ูŠ ู…ูˆุฌูˆุฏุฉุŒ ู†ู‚ุต
1424
+
1425
+ 389
1426
+ 00:35:25,990 --> 00:35:30,690
1427
+ P2 ูˆู‡ุงูŠ ุงู„ู€ P' ุจุชุนูˆุถูŠ ุจุทู„ุงู‚ ุงู„ Z-stat ุฅูŠุด ุท
1428
+
1429
+ 431
1430
+ 00:39:41,600 --> 00:39:42,740
1431
+ ุฎู…ุณุฉ ูƒุฏู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
1432
+
1433
+ 432
1434
+ 00:39:45,520 --> 00:39:49,840
1435
+ ุฅุฐุง the same decision, they are not rejected ุทุจุนุง
1436
+
1437
+ 433
1438
+ 00:39:49,840 --> 00:39:55,320
1439
+ ู…ุด rejected, don't reject, ุฅุฐุง false ูˆุงุถุญ ุฏุงุฆู…ุง if
1440
+
1441
+ 434
1442
+ 00:39:55,320 --> 00:39:58,620
1443
+ you don't reject at any level of significance then
1444
+
1445
+ 435
1446
+ 00:39:58,620 --> 00:40:01,640
1447
+ also you don't reject at any level greater than
1448
+
1449
+ 436
1450
+ 00:40:01,640 --> 00:40:07,520
1451
+ that level ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ูŠ 0.86 ุฎู„ุงุตุŸ ูˆุจุชุนู…ู„ ุจู‚ู‰
1452
+
1453
+ 437
1454
+ 00:40:07,520 --> 00:40:08,540
1455
+ class ุฏู‡ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/6MPJIpni4fw_postprocess.srt ADDED
@@ -0,0 +1,1748 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,920 --> 00:00:25,780
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ู‡ู†ุงุฎุฏ second review
4
+
5
+ 2
6
+ 00:00:25,780 --> 00:00:30,080
7
+ session for exam number two I will start now with
8
+
9
+ 3
10
+ 00:00:30,080 --> 00:00:32,880
11
+ chapter nine then after that we will go for some
12
+
13
+ 4
14
+ 00:00:32,880 --> 00:00:36,680
15
+ problems from chapter ten ุฎู„ุงุต ู‡ุงุฎุฏ ุดูˆูŠุฉ ู…ุซุงู„ ู…ู†
16
+
17
+ 5
18
+ 00:00:36,680 --> 00:00:39,980
19
+ ุงู„ุชุณุนุฉ ูˆ ุจุนุฏ ุดูˆูŠุฉ ู‡ุงุฎุฏ ุดูˆูŠุฉ ู…ุซุงู„ ู…ู† ุงู„ุนุดุฑุฉ
20
+
21
+ 6
22
+ 00:00:39,980 --> 00:00:48,000
23
+ scenario nine ten ู†ุชุทู„ุน ุนู„ู‰ ุงู„ุชุณุนุฉ ุนุดุฑุฉ scenario
24
+
25
+ 7
26
+ 00:00:48,000 --> 00:00:54,800
27
+ ุชุณุนุฉ ุนุดุฑุฉู…ุด ู‡ุงุช ุงู„ุณุคุงู„ ูŠุง ุนุฒูŠุฒูŠ ุจุญูƒูŠ
28
+
29
+ 8
30
+ 00:00:54,800 --> 00:01:01,240
31
+ manufacture produces life bulbs that have mean
32
+
33
+ 9
34
+ 00:01:01,240 --> 00:01:10,020
35
+ life of at least 500 hours at least five
36
+
37
+ 10
38
+ 00:01:10,020 --> 00:01:13,120
39
+ hundred
40
+
41
+ 11
42
+ 00:01:13,120 --> 00:01:18,080
43
+ hours when the production process is working
44
+
45
+ 12
46
+ 00:01:18,080 --> 00:01:22,630
47
+ properlyุฅุฐุง .. ุฅุฐุง ุงู„ .. ุงู„ .. ุงู„ process ู…ุงุดูŠ ุตุญุŒ
48
+
49
+ 13
50
+ 00:01:22,630 --> 00:01:26,050
51
+ ุชุดุชุบู„ ุจุดูƒู„ ู…ู†ุงุณุจุŒ ุงู„ main life ู„ู„ู„ู…ุจุฉ ุงู„ูƒู‡ุฑุจุง
52
+
53
+ 14
54
+ 00:01:26,050 --> 00:01:31,110
55
+ ู‡ุชูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ .. ู‡ุชุดุชุบู„ ุนู„ู‰ ุงู„ุฃู‚ู„ 500 ุณุงุนุฉุŒ ุชุนุฑู
56
+
57
+ 15
58
+ 00:01:31,110 --> 00:01:34,990
59
+ ุฃูŠ ู„ู…ุจุฉ ู†ูŠูˆู† ุฃูˆ ู„ู…ุจุฉ ุนุงุฏูŠุฉุŒ ุงู„ู„ูŠ ู„ู‡ุง ุนู…ุฑ ู…ุญุฏุฏุŒ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:34,990 --> 00:01:40,630
63
+ ุจูŠุญูƒูŠ ู„ูˆ ุงู„ู…ูƒูŠู†ุฉ ุฃูˆ ุงู„ุนู…ู„ูŠุฉ ู…ุดุช ุจุดูƒู„ ู…ู†ุงุณุจุŒ ู‡ูŠูƒูˆู†
64
+
65
+ 17
66
+ 00:01:40,630 --> 00:01:44,450
67
+ ุนู…ุฑู‡ุง ุงู„ main life ู„ู‡ at least ุนู„ู‰ ุงู„ุฃู‚ู„ 500 ุณุงุนุฉ
68
+
69
+ 18
70
+ 00:01:44,450 --> 00:01:51,650
71
+ ุฃูˆ 500 ุฃูˆ ุฃูƒุชุฑุจู†ุงุก ุนู„ู‰ ุฎุจุฑุฉ ุณุงุจู‚ุฉ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
72
+
73
+ 19
74
+ 00:01:51,650 --> 00:01:55,530
75
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:01:55,530 --> 00:01:58,550
79
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
80
+
81
+ 21
82
+ 00:01:58,550 --> 00:02:00,450
83
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
84
+
85
+ 22
86
+ 00:02:00,450 --> 00:02:02,530
87
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
88
+
89
+ 23
90
+ 00:02:02,530 --> 00:02:03,830
91
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:03,830 --> 00:02:05,690
95
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
96
+
97
+ 25
98
+ 00:02:05,690 --> 00:02:10,670
99
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู‡ูˆ ุจูŠูˆู‚ู if there is evidence
100
+
101
+ 26
102
+ 00:02:10,670 --> 00:02:14,110
103
+ that the population mean light bulb life is below
104
+
105
+ 27
106
+ 00:02:14,110 --> 00:02:20,590
107
+ 500 hours ุฅุฐุง ู‡ูˆ ู‡ูŠุชูˆู‚ู ูŠุนู†ูŠ ููŠ ุนู†ุฏู‡ rules ู…ุนูŠู†ุฉ
108
+
109
+ 28
110
+ 00:02:20,590 --> 00:02:25,750
111
+ ุฅุฐุง ูƒุงู†ุช ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณู…ูŠุฉ ุณุงุนุฉ ู‡ูŠุดุชุบู„ ู„ูˆ ุตุงุฑุช ุฃู‚ู„
112
+
113
+ 29
114
+ 00:02:25,750 --> 00:02:30,350
115
+ ู…ู† ุฎู…ุณู…ูŠุฉ ู…ุด ู‡ูŠุนู…ู„ ู‡ูˆู‚ู ุงู„ุดุบู„ ุทูŠุจ referring to
116
+
117
+ 30
118
+ 00:02:30,350 --> 00:02:33,030
119
+ this scenario if you select a sample of a hundred
120
+
121
+ 31
122
+ 00:02:33,030 --> 00:02:40,340
123
+ light ุฃุฎุฏ ุงู„ sample size ู…ู† ู…ูŠุฉูˆูŠูƒูˆู†ูˆุง ู…ุณุชุนุฏูŠู†
124
+
125
+ 32
126
+ 00:02:40,340 --> 00:02:45,360
127
+ ู„ุฏูŠู‡ู… ู†ุณุจุฉ 10%
128
+
129
+ 33
130
+ 00:02:45,360 --> 00:02:47,860
131
+ ูƒู†ุณุจุฉ ู†ุณุจุฉ 10% ู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
132
+
133
+ 34
134
+ 00:02:47,860 --> 00:02:54,460
135
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
136
+
137
+ 35
138
+ 00:02:54,460 --> 00:02:54,600
139
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
140
+
141
+ 36
142
+ 00:02:54,600 --> 00:02:55,780
143
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
144
+
145
+ 37
146
+ 00:02:55,780 --> 00:03:01,950
147
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ู…ู†
148
+
149
+ 38
150
+ 00:03:01,950 --> 00:03:08,050
151
+ ุงู„ุบูŠุงุจ ุฎู„ุงุต ู‡ุฐุง .. ู‡ุฐุง ุญุงุฌุฉ ุชุงู†ูŠุฉ ู‡ุฐุง ู„ุฅู† ุจุฏูŠ ุฃุญุณุจ
152
+
153
+ 39
154
+ 00:03:08,050 --> 00:03:12,150
155
+ ุงู„ type 2 error ูˆ ู…ู†ู‡ุง ุฃุทู„ุน ุงู„ bar ุฅุฐุง ูƒุงู† ุนู†ุฏู‰
156
+
157
+ 40
158
+ 00:03:12,150 --> 00:03:16,370
159
+ 490 ุงู„ X bar ูู‡ุฐุง ุฃู†ุง ู…ุด ุนุงูŠุฒุฉ 32 ุงู„ type 2 error
160
+
161
+ 41
162
+ 00:03:16,370 --> 00:03:20,850
163
+ ู…ุด ุนุงูŠุฒูŠู†ู‡ ุฎู„ุงุต
164
+
165
+ 42
166
+ 00:03:20,850 --> 00:03:25,090
167
+ ุฅุฐุง ุงู„ 32 ุงู„ 33 ู‡ุฏูˆู„ ุงุญู†ุง ู…ุด ุนุงูŠุฒูŠู†ู‡ู… ุชู„ุงุช ูˆ
168
+
169
+ 43
170
+ 00:03:25,090 --> 00:03:28,110
171
+ ุชู„ุงุชูŠู† ูŠุนู†ูŠ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ
172
+
173
+ 44
174
+ 00:03:28,110 --> 00:03:30,310
175
+ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุชุงู„
176
+
177
+ 45
178
+ 00:03:30,310 --> 00:03:32,270
179
+ type one ุจูŠุณุงูˆูŠ ู…ุซู„ุง ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุฃูˆ ูˆุงุญุฏ ููŠ
180
+
181
+ 46
182
+ 00:03:32,270 --> 00:03:36,170
183
+ ุงู„ู…ูŠุฉุŒ ู„ูƒู† ุงุฐุง ูƒูŠู ู†ุญุณุจู‡ ู…ุงุฎุฏู†ู‡ูˆุดุŒ ุจุงู„ุชุงู„ูŠ ุงุชู†ูŠู† ูˆ
184
+
185
+ 47
186
+ 00:03:36,170 --> 00:03:38,930
187
+ ุชู„ุงุชูŠู†ุŒ ุชู„ุงุช ูˆ ุชู„ุงุชูŠู† ู„ุฃุŒ ุงุฑุจุนุฉ ูˆ ุชู„๏ฟฝ๏ฟฝุชูŠู†ุŒ ุงูŠุด
188
+
189
+ 48
190
+ 00:03:38,930 --> 00:03:42,870
191
+ ุจูŠุณุชุบู„ุน ุงู„ confidence coefficientุŸ ู„ุฃ ู…ุงุฎุฏู†ุงุด
192
+
193
+ 49
194
+ 00:03:42,870 --> 00:03:47,710
195
+ confidence intervalsุŒ ุจุงู„ุชุงู„ูŠ ุงู„ุณุคุงู„ ู‡ุฐุง ูŠุนู†ูŠ ู…ู†
196
+
197
+ 50
198
+ 00:03:47,710 --> 00:03:53,550
199
+ ุฃุตู„ู‡ ู…ุด ู„ุงุฒู… ู†ุญู„ูŠู‡ุŒ ุฎู„ุงุตุŸ ุงู„ confidence
200
+
201
+ 51
202
+ 00:03:53,550 --> 00:03:56,530
203
+ coefficient ู…ุนู†ุงู‡ุŒ one minus thousand ุตุญูŠุญุŒ ุจุณ
204
+
205
+ 52
206
+ 00:03:56,530 --> 00:04:01,460
207
+ ูŠุนู†ูŠ ู…ุด ู…ุณุชู‡ุฑูŠ ุจูƒูŠ ููŠ ุงู…ุชุญุงู†ู…ุด ูุงุณุชุบุฑุจุŒ ูุจุงู„ุชุงู„ูŠ
208
+
209
+ 53
210
+ 00:04:01,460 --> 00:04:07,260
211
+ ุฎู„ุงุต ุชุณุนุฉ ูˆ ุนุดุฑุฉ ุจู„ุงุด ู…ู†ู‡ุŒ ุงูŠุด ุบูŠุฑ ุชุณุนุฉ ูˆ ุนุดุฑุฉุŸ
212
+
213
+ 54
214
+ 00:04:07,260 --> 00:04:11,440
215
+ ุทูŠุจ ู„ู†ุง ู†ูุณ ุงู„ุณุคุงู„ ู‡ุฐุงุŒ ู„ูˆ ุทู„ุจุช ู…ู†ูƒ ุดุบู„ุชูŠู† ุฃุตุบุฑุŒ
216
+
217
+ 55
218
+ 00:04:11,440 --> 00:04:15,440
219
+ ู„ูˆ ุจุฏูŠ ุฃูƒุชุจ ุงู„ null hypothesis ูˆ ุงู„ alternate
220
+
221
+ 56
222
+ 00:04:15,440 --> 00:04:25,300
223
+ hypothesisุŒ ุงู„ null ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸู‡ุฐุง ุฃู‚ู„ ูˆู‡ุฐุง
224
+
225
+ 57
226
+ 00:04:25,300 --> 00:04:30,500
227
+ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุจูุชุฑุงุถ
228
+
229
+ 58
230
+ 00:04:30,500 --> 00:04:39,020
231
+ ุงู„ X bar equal 490 ู…ูุชุฑุถ ุงู„ X bar ู‡ูŠูƒ ูˆุจุฏูŠ ุฃุนู…ู„
232
+
233
+ 59
234
+ 00:04:39,020 --> 00:04:43,020
235
+ test ู„ู„ claim ู‡ุณุชุฎุฏู… Z ู…ุด ู‡ูŠูƒ ู„ุฅู† ุงู„ sigma is non
236
+
237
+ 60
238
+ 00:04:44,430 --> 00:04:49,970
239
+ ูุงู„ Z ุนู„ู‰ ุทูˆู„ ุจุญุณุจู‡ุง ุงู„ X bar ูุงู„
240
+
241
+ 61
242
+ 00:04:49,970 --> 00:04:56,550
243
+ X bar ู…ุนุฑูˆูุฉ ูˆ ุงู„ Mu ู…ุนุฑูˆูุฉ ูˆ ุงู„ Sigma ุฎู…ุณูŠู† ูˆ ุงู„
244
+
245
+ 62
246
+ 00:04:56,550 --> 00:05:04,130
247
+ N ู…ูŠุฉ ูุงู„ุณุงู„ุจ ุนุดุฑุฉ ู…ุธู‡ุฑ ุฎู…ุณูŠู† ุนู„ู‰ ุนุดุฑุฉ fifty ุนู„ู‰
248
+
249
+ 63
250
+ 00:05:04,130 --> 00:05:09,910
251
+ ten ูŠุนู†ูŠ negative tone Z negative tone ู„ูˆ ุนุงูŠุฒุฉ
252
+
253
+ 64
254
+ 00:05:09,910 --> 00:05:10,650
255
+ ุงุทู„ุน ุงู„ B value
256
+
257
+ 65
258
+ 00:05:15,360 --> 00:05:20,040
259
+ Z ุจุงู„ุณุงูˆูŠุฉ Z ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฃู‚ู„ ู…ู† ุณุงู„ ุงู„ุฃุชู†ูŠู†
260
+
261
+ 66
262
+ 00:05:20,040 --> 00:05:23,440
263
+ ุงู„ุฃู‚ู„ ู…ู† ุณุงู„ ุงู„ุฃุชู†ูŠู† ุทุงู„ุน ุนู„ู‰ Zero Zero ุชู…ุงู†ูŠุฉ
264
+
265
+ 67
266
+ 00:05:23,440 --> 00:05:27,740
267
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero
268
+
269
+ 68
270
+ 00:05:27,740 --> 00:05:30,940
271
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
272
+
273
+ 69
274
+ 00:05:30,940 --> 00:05:31,120
275
+ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
276
+
277
+ 70
278
+ 00:05:31,120 --> 00:05:32,860
279
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
280
+
281
+ 71
282
+ 00:05:32,860 --> 00:05:34,840
283
+ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
284
+
285
+ 72
286
+ 00:05:34,840 --> 00:05:34,900
287
+ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ
288
+
289
+ 73
290
+ 00:05:34,900 --> 00:05:36,180
291
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
292
+
293
+ 74
294
+ 00:05:36,180 --> 00:05:45,650
295
+ Zero ุชู…ุงู†ูŠุฉุงุชู†ูŠู† ุงุชู†ูŠู†ุŸ ุงู„ุฌูˆุงุจ ุงุชู†ูŠู† ุงุชู†ูŠู†ุŸ ุฎู„ู‘ุง
296
+
297
+ 75
298
+ 00:05:45,650 --> 00:05:55,590
299
+ .. ุฎู„ู‘ุง ู†ุทู„ุน ุงู„ุฌุฏูˆู„ ู‡ุงูŠ
300
+
301
+ 76
302
+ 00:05:55,590 --> 00:05:58,790
303
+ ุงู„ุณู„ุจ ุงุชู†ูŠู†ุŸ
304
+
305
+ 77
306
+ 00:06:10,860 --> 00:06:19,100
307
+ ุงู„ู‚ุฑุงุฑ reject ูˆ ู„ุง don't reject ูˆุงุถุญ at alpha 10%
308
+
309
+ 78
310
+ 00:06:19,100 --> 00:06:25,360
311
+ ุงู„ P value equals 0 2 to 8 smaller than alpha ุฅุฐุง
312
+
313
+ 79
314
+ 00:06:25,360 --> 00:06:29,140
315
+ reject
316
+
317
+ 80
318
+ 00:06:29,140 --> 00:06:33,200
319
+ ุงู„ 0 ุทูŠุจ ู‡ู„ ุงู„ conclusion ุชุจุนูŠ ุฃูˆ ุงู„ decision
320
+
321
+ 81
322
+ 00:06:33,200 --> 00:06:37,160
323
+ ู‡ูŠุชุบูŠุฑ ู„ูˆ ุบูŠุฑุช alphaุŸ ู„ุฃู† ู„ูˆ ุฃุฎุฐุช alpha ุจ
324
+
325
+ 82
326
+ 00:06:41,070 --> 00:06:48,450
327
+ ุจุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุนู†ุฏ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ู„ูˆ ุฃู„ูุฉ five
328
+
329
+ 83
330
+ 00:06:48,450 --> 00:06:55,090
331
+ percent ู†ูุณ ุงู„ู‚ุฑุงุฑ ุทุจ ู„ูˆ ุฃู„ูุฉ one percent ู„ูˆ ูˆุงุญุฏ
332
+
333
+ 84
334
+ 00:06:55,090 --> 00:06:59,410
335
+ ู…ู† ู…ูŠุฉ ู‡ุฐูŠ
336
+
337
+ 85
338
+ 00:06:59,410 --> 00:07:02,730
339
+ ุฃูƒุจุฑ ูุจุชุนุฑููŠ don't reject ุฅุฐุง ุงู„ decision ุงุญุชู…ู„
340
+
341
+ 86
342
+ 00:07:02,730 --> 00:07:05,430
343
+ ุนู„ู‰ ุงู„ alpha ู…ู…ูƒู† reject ูˆ ู…ู…ูƒู† don't reject
344
+
345
+ 87
346
+ 00:07:11,870 --> 00:07:18,790
347
+ ุฃูŠุด ููŠู‡ ุณุคุงู„ ููŠ chapter 9ุŸ ุฃุนุทูŠู†ุง ุฑู‚ู… ุงู„ุณุคุงู„ ุทุจ
348
+
349
+ 88
350
+ 00:07:18,790 --> 00:07:23,070
351
+ ุทุงู„ุน ู„ 41 which of the following would be an
352
+
353
+ 89
354
+ 00:07:23,070 --> 00:07:28,190
355
+ appropriate null hypothesisุŸ ู…ูŠู† ู…ู†ุงุณุจ ู„ู„ nullุŸ
356
+
357
+ 90
358
+ 00:07:28,190 --> 00:07:32,480
359
+ the mean of a population is equal to 55the mean of
360
+
361
+ 91
362
+ 00:07:32,480 --> 00:07:35,480
363
+ a sample is equal to 55 ู„ุญุธุฉ ุจูŠุญูƒูŠ mean of
364
+
365
+ 92
366
+ 00:07:35,480 --> 00:07:39,000
367
+ population ุฏุงูŠู…ุง ุงู„ testing ุจูŠูƒูˆู† about population
368
+
369
+ 93
370
+ 00:07:39,000 --> 00:07:45,240
371
+ parameter ุจุงู„ุชุงู„ุฉ ู‡ุฐู‡ ุตุญ ู‡ุฐู‡ ู…ุธุจูˆุทุฉ ู‡ูƒุฐุง ุงู‡ ุซุงู†ูŠุฉ
372
+
373
+ 94
374
+ 00:07:45,240 --> 00:07:49,840
375
+ the mean of sample ุทุจุนุง ุนุดุงู† ุงู„ sample ู…ุด ุตุญ the
376
+
377
+ 95
378
+ 00:07:49,840 --> 00:07:54,040
379
+ mean of population is greater than 55 ุจุญูƒูŠ ุนู„ู‰ ุงู„
380
+
381
+ 96
382
+ 00:07:54,040 --> 00:07:58,640
383
+ null ุงู„ null ุจุณ ุจูŠูƒูˆู† ููŠู‡ ุงู„ equal sign ู…ุด greater
384
+
385
+ 97
386
+ 00:07:58,640 --> 00:08:04,650
387
+ ุฏู‡ ุจุงู„ุชุงู„ุฉ ุงู„ุฌูˆุงุจ ุจุณู‡ูˆ ุจูŠ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
388
+
389
+ 98
390
+ 00:08:04,650 --> 00:08:05,970
391
+ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ
392
+
393
+ 99
394
+ 00:08:05,970 --> 00:08:06,490
395
+ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
396
+
397
+ 100
398
+ 00:08:06,490 --> 00:08:14,350
399
+ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ
400
+
401
+ 101
402
+ 00:08:14,350 --> 00:08:14,530
403
+ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
404
+
405
+ 102
406
+ 00:08:14,530 --> 00:08:15,090
407
+ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ
408
+
409
+ 103
410
+ 00:08:15,090 --> 00:08:17,910
411
+ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
412
+
413
+ 104
414
+ 00:08:18,380 --> 00:08:23,880
415
+ is not lessุŒ ุฅูŠุด ูŠุนู†ูŠ is not lessุŸ ุฃูƒุจุฑ ุฃูˆ ุฃุดุณุงูˆุฉ
416
+
417
+ 105
418
+ 00:08:23,880 --> 00:08:28,520
419
+ ุงู„ proportion
420
+
421
+ 106
422
+ 00:08:28,520 --> 00:08:37,560
423
+ is not lessุŒ ู‡ุฐุง ุตุญ ูˆู„ุง ุบู„ุทุŸ ู‡ุฐุง ุตุญุŒ ู…ุธุจูˆุทุŒ ุจูŠู‡
424
+
425
+ 107
426
+ 00:08:37,560 --> 00:08:41,840
427
+ similar proportionุŸ ุฃูƒูŠุฏ ู„ุฃุŒ similar proportion
428
+
429
+ 108
430
+ 00:08:41,840 --> 00:08:46,250
431
+ ุฃูŠู‡ ููŠู‡ุง similar ู…ุด ุตุญthe population proportion is
432
+
433
+ 109
434
+ 00:08:46,250 --> 00:08:48,890
435
+ less than ุฑุจู…ุง ุงู„ูุญุด ุงู„ู„ูŠ ูƒุงู† ููŠู‡ ุนู†ุฏ ุงู„ู†ุงู„ุŒ
436
+
437
+ 110
438
+ 00:08:48,890 --> 00:08:53,710
439
+ ุจุงู„ุชุงู„ุฉ ุฎุฏุชูƒ ุชุงู†ุตุฑ ุงุฒุงูŠุŸ ูƒูˆูŠุณ ุชุนุฑููŠ ูƒูŠู ุชูƒุชุจ ุงู„ู†ุงู„
440
+
441
+ 111
442
+ 00:08:53,710 --> 00:08:55,930
443
+ ุงู„ alternate hypothesisุŒ ูุงูƒูŠุฏ ููŠ ุงู„ุงู…ุชุญุงู† ุจุณ ุนุดุงู†
444
+
445
+ 112
446
+ 00:08:55,930 --> 00:09:03,820
447
+ ุงุฒุงูŠุทูŠุจ ุชุณุนุฉ
448
+
449
+ 113
450
+ 00:09:03,820 --> 00:09:07,720
451
+ ุชุณุนุฉุŸ ู‡ูŠ
452
+
453
+ 114
454
+ 00:09:07,720 --> 00:09:14,160
455
+ ุชุณุนุฉ ุชุณุนุฉ ูˆูŠู† ุชุณุนุฉ
456
+
457
+ 115
458
+ 00:09:14,160 --> 00:09:14,940
459
+ ุชุณุนุฉุŸ
460
+
461
+ 116
462
+ 00:09:27,350 --> 00:09:37,870
463
+ ุณุคุงู„ ุฑู‚ู… ูƒุฏู‡ุŸ ุฑู‚ู… ุงู„ุณุคุงู„ 65 ู‡ุงูŠ
464
+
465
+ 117
466
+ 00:09:37,870 --> 00:09:45,810
467
+ ุชุณุนุฉ ุณุชุฉ ุชุณุนุฉ ุณุชุฉ ุชุณุนุฉ ุณุชุฉ ู…ุด ู‡ูŠูƒ ุณุงุนุฉ ุชุณุนุฉ ุณุชุฉ
468
+
469
+ 118
470
+ 00:09:45,810 --> 00:09:50,330
471
+ ุณุคุงู„ ุฎู…ุณุฉ ุณุชูŠู† ุณุงุนุฉ ุณุชูŠู†
472
+
473
+ 119
474
+ 00:09:55,800 --> 00:10:05,900
475
+ ู…ุงููŠุด end ู‡ู†ุง ุชุณุนุฉ ุชุณุนุฉ ุณุคุงู„
476
+
477
+ 120
478
+ 00:10:05,900 --> 00:10:06,680
479
+ ุงุฑุจุนุฉ ูˆ ุชู…ุงู†ูŠุฉ
480
+
481
+ 121
482
+ 00:10:13,670 --> 00:10:35,990
483
+ ุงู„ุณุคุงู„ ู‡ุฐุง ู…ุด ู‡ุงุฑุŸ ุจูŠุญูƒูŠ
484
+
485
+ 122
486
+ 00:10:35,990 --> 00:10:39,070
487
+ the president of university claimed that the
488
+
489
+ 123
490
+ 00:10:39,070 --> 00:10:45,630
491
+ entering class this yearappeared to be larger than
492
+
493
+ 124
494
+ 00:10:45,630 --> 00:10:48,950
495
+ the entry class from previous years ูŠุนู†ูŠ ุจูŠุญูƒูŠ
496
+
497
+ 125
498
+ 00:10:48,950 --> 00:10:59,230
499
+ ุงู„ุณู†ุฉ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุฏุฎู„ูˆุง ุงู„ุฌุงู…ุนุฉ ู…ุงู„ู‡ู… ุงูƒุชุฑ ู…ุด ู‡ูŠ ุงูˆ
500
+
501
+ 126
502
+ 00:10:59,230 --> 00:11:05,010
503
+ larger but there means that score is lower than
504
+
505
+ 127
506
+ 00:11:05,010 --> 00:11:11,290
507
+ previous years ุงุฐุง ููŠู‡ุง ุงู†ุช ุดุบู„ุชูŠู† ุงู„ู†ู‚ุทุฉ ุงู„ุฃูˆู„ู‰
508
+
509
+ 128
510
+ 00:11:13,140 --> 00:11:17,400
511
+ ุงู„ู„ูŠ ุญูƒู‰ ุนู† ุงู„ entering ุนุฏุฏู‡ู…
512
+
513
+ 129
514
+ 00:11:17,400 --> 00:11:24,400
515
+ ูƒุงู† ุฃูƒุชุฑ ูƒุงู† larger ู„ูƒู†
516
+
517
+ 130
518
+ 00:11:24,400 --> 00:11:30,520
519
+ ุญูƒู‰ ุนู„ู‰ ุงู„ set score ูƒุงู†
520
+
521
+ 131
522
+ 00:11:30,520 --> 00:11:35,960
523
+ lower he
524
+
525
+ 132
526
+ 00:11:35,960 --> 00:11:38,240
527
+ took a sample of twenty of this year entering
528
+
529
+ 133
530
+ 00:11:38,240 --> 00:11:40,860
531
+ student ุฃุฎุฏ ุนุดุฑูŠู† ู…ู† ู‡ุฏูˆู„
532
+
533
+ 134
534
+ 00:11:45,800 --> 00:11:52,880
535
+ ูˆุงู†ุชุดุฑุช ุงู† ู…ูŠุงู† ุณุช ุณูƒูˆุฑู‡ู… ุทู„ุน ุงู„ู…ูŠุงู† ุณุช ุณูƒูˆุฑ ุนู„ู‰
536
+
537
+ 135
538
+ 00:11:52,880 --> 00:11:57,340
539
+ ุนู…ู„ูŠ 1000501
540
+
541
+ 136
542
+ 00:11:57,340 --> 00:12:05,900
543
+ ูˆุนู„ู‰ ุนู…ู„ูŠ 53 ILS
544
+
545
+ 137
546
+ 00:12:05,900 --> 00:12:11,140
547
+ ุนุฑู‘ูุช ููŠ ุญุงู„ุฉ ุงู† ู…ูŠุงู† ุณุช ุณูƒูˆุฑ ู„ุฏุฎูˆู„ ุงู„ุทู„ุงุจ ู…ู†
548
+
549
+ 138
550
+ 00:12:11,140 --> 00:12:15,240
551
+ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ the university record
552
+
553
+ 139
554
+ 00:12:15,240 --> 00:12:19,220
555
+ in the case that the main self score for entering
556
+
557
+ 140
558
+ 00:12:19,220 --> 00:12:24,400
559
+ students from previous year is ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุชุŒ
560
+
561
+ 141
562
+ 00:12:24,400 --> 00:12:33,360
563
+ ุฅูŠุด ูƒุงู†ุŸ ุงูŠู‡ from previous yearุŸ ุงู„ main ูƒุงู† ูƒุฏู‡ุดุŸ
564
+
565
+ 142
566
+ 00:12:33,360 --> 00:12:38,920
567
+ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† similar populationุŸ ู…ู…ุชุงุฒ population
568
+
569
+ 143
570
+ 00:12:40,620 --> 00:12:42,940
571
+ ู…ุงุญูƒูŠุด ูŠุงุฎุฏ ุทุจุนุง random sample of size ูƒุฐุง ูˆูŠุนุทุงู†ูŠ
572
+
573
+ 144
574
+ 00:12:42,940 --> 00:12:46,260
575
+ ู…ูŠู† ูƒุฐุง ุจูŠุญูƒูŠ ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุช ู…ู† ุงู„ุณู†ูˆุงุช ุงู„ู„ูŠ
576
+
577
+ 145
578
+ 00:12:46,260 --> 00:12:49,580
579
+ ูุงุชุช ู…ุนุงูƒ ุงู†ุช ุนู†ุฏู‡ ูƒู„ู‡ scores ุงู„ average ุชุจุนู‡ู… ู…ุน
580
+
581
+ 146
582
+ 00:12:49,580 --> 00:12:54,820
583
+ ูƒุฏู‡ ุจุชุชูƒู„ู… ุนู† population ู…ูŠู† ูƒูˆูŠุณ he wants to find
584
+
585
+ 147
586
+ 00:12:54,820 --> 00:12:59,140
587
+ out if his claim is supported by the evidence at 5
588
+
589
+ 148
590
+ 00:12:59,140 --> 00:13:02,900
591
+ % level ุจุฏู‡ ูŠุดูˆู ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญ ูˆู„ุง ู„ุฃ ู‡ูˆ ุญูƒู‰ ุงู„
592
+
593
+ 149
594
+ 00:13:02,900 --> 00:13:07,240
595
+ set value lower ุงุฐุง ุงู† ุงู„ุง hypothesis ู„ูˆ ุจุบูŠุฑ ู…ุง
596
+
597
+ 150
598
+ 00:13:07,240 --> 00:13:08,380
599
+ ุชุทู„ุน ุงู„ุงุณุฆู„ุฉ ุงู„ mean
600
+
601
+ 151
602
+ 00:13:13,490 --> 00:13:22,130
603
+ 1520 ู…ุด ุนุงูŠุฒ ูŠุนู…ู„ testing ู„ูŠุด ู„ุง ูŠุณุงูˆูŠ ู‡ูˆ ุงู„ claim
604
+
605
+ 152
606
+ 00:13:22,130 --> 00:13:28,830
607
+ ุชุจุนู‡ ู„ู„ุฏุนุงุก ุฃู†ู‡ ุฃู‚ู„ ูุงู„ุชุงู„ูŠ ุฃู‚ู„ ู‡ูˆ ุจูŠุณุฃู„ the null
608
+
609
+ 153
610
+ 00:13:28,830 --> 00:13:35,210
611
+ I pass for this ุงู„ุตุฏ ู‡ูŠ null ู…ู…ูƒู† ุฌุฏุง ู…ู…ุชุงุฒ ู‡ุฐูŠ
612
+
613
+ 154
614
+ 00:13:35,210 --> 00:13:39,700
615
+ ู…ูƒุชูˆุจุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃูˆ ุฃูƒุจุฑ ุฃูˆ ุฃุณุงู…ู‰ุงู„ุงุชู†ูŠู† ุตุญูŠุญุฉ
616
+
617
+ 155
618
+ 00:13:39,700 --> 00:13:45,360
619
+ ุงุญู†ุง just for simple use we use ู…ูŠูˆ equal .. not
620
+
621
+ 156
622
+ 00:13:45,360 --> 00:13:48,640
623
+ .. you can use either ู…ูŠูˆ equals fifteen hundred
624
+
625
+ 157
626
+ 00:13:48,640 --> 00:13:51,140
627
+ twenty or greater than or equal ู‡ุฏูˆู„ ุงู„ complement
628
+
629
+ 158
630
+ 00:13:51,140 --> 00:13:55,460
631
+ ุฅุฐุง ู‡ุฐู‡ ุฃู‚ู„ ุงู„ุชุงู†ูŠุด ุจุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆูŠ ุงู„ุณุงู…ุฉ ุงู„ู…ู‡ู… ุงู„
632
+
633
+ 159
634
+ 00:13:55,460 --> 00:13:59,520
635
+ equal sign appears on the null hypothesis ุจุชูƒูˆู†
636
+
637
+ 160
638
+ 00:13:59,520 --> 00:14:05,800
639
+ ูˆุฌูˆุฏุฉ ู‡ู†ุง eighty five ุงู„ternet ุงู„ternet hypothesis
640
+
641
+ 161
642
+ 00:14:05,800 --> 00:14:06,140
643
+ ู‡ูŠ
644
+
645
+ 162
646
+ 00:14:08,840 --> 00:14:13,340
647
+ ู…ุงุฐุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‚ูŠู…ุฉ ูƒุฑู‡ูŠุฉ ุงู„ู„ูŠ ูŠุณุชุฎุฏู…ู‡ุง ุงู„ุญุฌุฑ
648
+
649
+ 163
650
+ 00:14:13,340 --> 00:14:18,180
651
+ ู„ุฅูŠู‚ุงู ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ู‡ูˆ ุงุชูƒู„ู… ุนู„ู‰ 5% ู…ุด ู‡ูŠูƒุŸ
652
+
653
+ 164
654
+ 00:14:18,180 --> 00:14:22,600
655
+ ูˆุจุชูƒู„ู… ุนู„ู‰ ุงู„ุฃุณูู„ ุชุงู„ุช ุงุณุช ุฃุณูู„ ูŠุนู†ูŠ ุงู„ area to
656
+
657
+ 165
658
+ 00:14:22,600 --> 00:14:31,720
659
+ the left Alpha 5% ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ู…ุด ุงู„ุณุงูˆูŠุฉุŸ ู…ู…ุชุงุฒุฉ
660
+
661
+ 166
662
+ 00:14:31,720 --> 00:14:35,140
663
+ negative one point six four five ุงู„ one point nine
664
+
665
+ 167
666
+ 00:14:35,140 --> 00:14:38,220
667
+ six ู‡ูˆ kind of two-tailedู„ูƒู† ุงู„ one tail one point
668
+
669
+ 168
670
+ 00:14:38,220 --> 00:14:42,680
671
+ six four five it depends the sign either for lower
672
+
673
+ 169
674
+ 00:14:42,680 --> 00:14:45,500
675
+ tail is negative and upper tail is positive so
676
+
677
+ 170
678
+ 00:14:45,500 --> 00:14:51,020
679
+ that's for H6 ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ true or false the null
680
+
681
+ 171
682
+ 00:14:51,020 --> 00:14:54,760
683
+ hypothesis would be rejected ุฃุญู„ ุงู„ู…ุซู„ ู‡ุฐุง ูŠุฌุจ ุฃู†
684
+
685
+ 172
686
+ 00:14:54,760 --> 00:15:02,440
687
+ ุฃุญู„ ุงู„ุดูŠุก ุงู„ุณุฎุฏู… ูŠุงุด ุงู„ T test ู„ูŠุด ู„ุฃู†ู‡ ุนู†ุฏู†ุง ุงู„
688
+
689
+ 173
690
+ 00:15:02,440 --> 00:15:07,380
691
+ sampleูˆุงุถุญุŸ ุทุจุนุงู‹ ู†ุญุชุงุฌ ุฃู† ู†ุนุชู…ุฏ ุนู„ู‰ ุฃู† ุงู„ู…ุฌุชู…ุน
692
+
693
+ 174
694
+ 00:15:07,380 --> 00:15:15,220
695
+ ู…ุณุชุนู…ู„ ู„ุฃู† N ุตุบูŠุฑ ูุงุทู„ุน ุงู„ T T X bar ู…ุนู†ุงู‡ ู…ูŠูˆ S
696
+
697
+ 175
698
+ 00:15:15,220 --> 00:15:24,620
699
+ over square root of N ุงู„ X bar ู‡ูˆ 1501 ู…ูŠูˆ 1520
700
+
701
+ 176
702
+ 00:15:24,620 --> 00:15:33,740
703
+ over S 53 divided by square root of 20 ูุงุทู„ุน ุงู„ T
704
+
705
+ 177
706
+ 00:15:35,110 --> 00:15:40,290
707
+ this equals to negative nineteen divided by ุดูˆู
708
+
709
+ 178
710
+ 00:15:40,290 --> 00:15:44,970
711
+ ุงู†ูƒ ุชู„ุงุชุฉ ูˆ ุฎู…ุณูŠู† ุนู„ู‰ ุงู„ square root ู„ู„ุนุดุฑูŠู† ู†ุนู…
712
+
713
+ 179
714
+ 00:15:44,970 --> 00:15:53,450
715
+ ุฎู„ูŠู†ูŠ ุฃุญุณุจู‡ุง ููŠ ุงู„ุฃูˆู„ ุฃุญุฏ
716
+
717
+ 180
718
+ 00:15:53,450 --> 00:16:01,190
719
+ ูŠุญุณุจ ู„ูŠู‡ ูŠุนู†ูŠุŒ ุฅูŠุด ุจูŠุทู„ุน ุงู„ุฌุฑู…ุŸ negative one point
720
+
721
+ 181
722
+ 00:16:01,190 --> 00:16:08,960
723
+ ุณุชุฉ ุณุชุฉู‡ูŠ ุงู„ T ุงู„ statistic ุจุชุฑุฌุนูŠู‡ุง ุงู„ู„ูŠ ุงู†ุง ุนุดุงู†
724
+
725
+ 182
726
+ 00:16:08,960 --> 00:16:17,060
727
+ ุงู‚ุฑู„ู‡ ุงู„ู„ูŠ ุจุทู„ุน ู‡ุงูŠ ุงู„ T ุฎุฏู…ุชูƒ ุงู„ู„ูŠ ุทู„ุนุชู‡ ู‡ู†ุง ู‡ุฐุง
728
+
729
+ 183
730
+ 00:16:17,060 --> 00:16:22,200
731
+ ู„ูˆ ุจุณุชุฎุฏู… Z ุฅุฐุง ุฃู†ุง ุงู„ู„ูŠ ุจุทู„ุน ู‡ุงูŠ ุงู„ T ู…ุด ู‡ูŠ ุงู„ T
732
+
733
+ 184
734
+ 00:16:22,200 --> 00:16:27,100
735
+ critical ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ุทุจุนุง ุงู„ D ุฃู‡ ููŠ ุชุณุนุฉ ุนุดุฑ
736
+
737
+ 185
738
+ 00:16:27,100 --> 00:16:32,440
739
+ ุจุชุทู„ุน ุงู„ุฌุฏูˆู„ุŒ ุชู†ุณูŠุด ุงู„ Alpha ู…ุชุณุงูˆูŠ five percent
740
+
741
+ 186
742
+ 00:16:34,480 --> 00:16:49,960
743
+ ู‡ุฐู‡ ุงู„ุฌุฏูˆู„ุฉ ุงู„ุชูŠ ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ุฌุฏูˆู„ุฉ T ู†ุญู†
744
+
745
+ 187
746
+ 00:16:49,960 --> 00:16:59,340
747
+ ู„ุฏูŠู†ุง one third test ูˆู‡ุฐู‡ ุชุณุนุฉ ุนุดุฑ ุจู…ุดูŠ ู„ุบุงูŠุฉ five
748
+
749
+ 188
750
+ 00:16:59,340 --> 00:17:09,830
751
+ percent ู…ุงู‡ูŠ ุฌูˆุงุจู‡ุงุŸ1.729 ุฅุฐุง ุชูŠ ูƒุฑูŠุชูƒุงู„ 1.729 ุจุณ
752
+
753
+ 189
754
+ 00:17:09,830 --> 00:17:15,070
755
+ ู…ุงุดูŠ ุจุงู„ุณุงุจู‚ ู‡ุฐู‡ ูƒุงู†ุช ู…ุณุงุญุฉ ุฏุฑุงูŠุฉ ุฃู†ุง ุนุงูŠุฒุฉ win
756
+
757
+ 190
758
+ 00:17:15,070 --> 00:17:20,050
759
+ ูŠุนู†ูŠ negative 1.729 ู†ุญุธ ููŠ ุงู„ Z ุฅูŠุด ูƒุงู†ุช ุงู„ุฌูˆุงุจ
760
+
761
+ 191
762
+ 00:17:20,050 --> 00:17:23,750
763
+ ูŠุณุงูˆูŠ ูƒุงู†ุช
764
+
765
+ 192
766
+ 00:17:23,750 --> 00:17:30,070
767
+ negative 1645 ุญุงูˆู„ูŠู†ุง ู‡ู…ุดูŠ ููŠ ุฏู‡ ุงู„ุขู† adequately
768
+
769
+ 193
770
+ 00:17:30,070 --> 00:17:37,360
771
+ criticalุงู„ุงู† ู‚ูŠู…ุฉ ุงู„ู€-1.66 ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€rejection
772
+
773
+ 194
774
+ 00:17:37,360 --> 00:17:42,860
775
+ ูˆู„ุง ุจุฑุงุŸ ู„ุฃ ุจุฑุง ูˆุงุถุญ ุฃู†ู‡ุง ุจุฑุงุŸ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
776
+
777
+ 195
778
+ 00:17:42,860 --> 00:17:43,140
779
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
780
+
781
+ 196
782
+ 00:17:43,140 --> 00:17:43,320
783
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
784
+
785
+ 197
786
+ 00:17:43,320 --> 00:17:43,720
787
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ๏ฟฝ๏ฟฝุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
788
+
789
+ 198
790
+ 00:17:43,720 --> 00:17:44,820
791
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
792
+
793
+ 199
794
+ 00:17:44,820 --> 00:17:46,960
795
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
796
+
797
+ 200
798
+ 00:17:46,960 --> 00:17:52,880
799
+ ู„ุฃ ู„ุฃ
800
+
801
+ 201
802
+ 00:17:52,880 --> 00:17:54,340
803
+ ู„
804
+
805
+ 202
806
+ 00:18:01,550 --> 00:18:05,550
807
+ ุงู„ู„ูŠ ูŠุนู†ูŠ ู‡ูˆ ุบูŠุฑ ุงู„ู…ุซู„ุฉ ููŠ ุงู„ุณุคุงู„ ุงู„ุจุนุฏู‡ ุฅูŠุด
808
+
809
+ 203
810
+ 00:18:05,550 --> 00:18:11,110
811
+ ุงุฎุชู„ุงู ุตุงุฑุŸ
812
+
813
+ 204
814
+ 00:18:11,110 --> 00:18:17,930
815
+ ุบูŠุฑ ุงู„ alpha the null would be rejected if 10%
816
+
817
+ 205
818
+ 00:18:17,930 --> 00:18:20,610
819
+ probability of committing type 2 error one error
820
+
821
+ 206
822
+ 00:18:20,610 --> 00:18:27,370
823
+ is allowed ูŠุนู†ูŠ ุฃุฎุฏ alpha ุจ 11 ุจุณ
824
+
825
+ 207
826
+ 00:18:27,370 --> 00:18:34,130
827
+ ูƒู„ ุญุงุฌุฉ ุบูŠุฑู‡ู‡ูŠ ุงู„ู€ 1.10 ู„ู†ูุณ
828
+
829
+ 208
830
+ 00:18:34,130 --> 00:18:41,170
831
+ ุงู„ degrees of freedom ู‡ูŠ
832
+
833
+ 209
834
+ 00:18:41,170 --> 00:18:53,210
835
+ ู†ูุณ ุงู„ 19 1.38 ุงุฎุชู„ู
836
+
837
+ 210
838
+ 00:18:53,210 --> 00:19:00,470
839
+ ุงู„ูˆุถุน ุตุงุฑุช ุงู„ value negative 1.66 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุฅุฐุง
840
+
841
+ 211
842
+ 00:19:00,470 --> 00:19:03,310
843
+ ูˆุถุญ ุงู„ู€ critical value ุจุชุฎุชู„ู ุญุณุจ ู‚ูŠู…ุฉ ุงู„ู€ alpha
844
+
845
+ 212
846
+ 00:19:03,310 --> 00:19:07,510
847
+ ููŠ ุงู„ example ุงู„ุฃูˆู„ ูƒุงู†ุช negative one point seven
848
+
849
+ 213
850
+ 00:19:07,510 --> 00:19:11,590
851
+ ู„ุฐู„ูƒ ู„ู… ู†ุชุฌู‡ ุฅู„ุง ุฅุฐุง ุตุงุฑุช negative one point three
852
+
853
+ 214
854
+ 00:19:11,590 --> 00:19:16,470
855
+ two ู†ุงุฆูŠุฉ ุณุชุชุฌู‡ ุฅุฐุง ูˆุถุญ ุฃู†ู‡ ุจุชุนุชู…ุฏ ุนู„ู‰ ู‚ูŠู…ุฉ ุงู„
856
+
857
+ 215
858
+ 00:19:16,470 --> 00:19:20,050
859
+ alpha ุฅุฐุง
860
+
861
+ 216
862
+ 00:19:20,050 --> 00:19:27,450
863
+ ู„ู…ุง ุงู„ alpha 10% ุฅุฐุง ุงู„ null rejected it true ุบูŠุฑ
864
+
865
+ 217
866
+ 00:19:27,450 --> 00:19:40,130
867
+ ูƒู…ุงู† ู…ุฑุฉู„ูˆ ุฃุฎุฏ alpha ุจ 1% ุจุทู„ุน ุงู„ 1% ุจู…ุดูŠูƒ
868
+
869
+ 218
870
+ 00:19:40,130 --> 00:19:46,290
871
+ ู…ุน 1% two
872
+
873
+ 219
874
+ 00:19:46,290 --> 00:19:47,410
875
+ point five three nine
876
+
877
+ 220
878
+ 00:20:00,880 --> 00:20:09,400
879
+ -2.539$ ูˆุงุถุญุฉ ู‚ูŠู…ุฉ ุฏูŠ ู…ุงู„ู‡ุง ุจุฑุง ูˆู„ุง ุฌูˆุง ููŠ ุงู„ู€ non
880
+
881
+ 221
882
+ 00:20:09,400 --> 00:20:16,120
883
+ rejection region ูู„ุง ู†ู†ุฌุญ ู…ู† ุงู„hybrid ุฎู„ุงุต ุฅุฐุง ุฃู†ุง
884
+
885
+ 222
886
+ 00:20:16,120 --> 00:20:22,970
887
+ ู…ู…ูƒู† ุฃุญู„ ุงู„ุณู„ุงู…ุด ุฏุงูŠู…ุง ุจุงู„ุชูŠู…ู†ูŠุนู†ูŠ ู…ุซู„ุง ุนู†ุฏ 5% ุฅูŠุด
888
+
889
+ 223
890
+ 00:20:22,970 --> 00:20:28,070
891
+ ูƒุงู† ุงู„ุฌูˆุงุจุŸ don't rejectุŒ ู…ุธุจูˆุทุŸ ุทุจ ุฅุฐุง ุนู†ุฏ 5%
892
+
893
+ 224
894
+ 00:20:28,070 --> 00:20:32,210
895
+ don't rejectุŒ ุฃูƒูŠุฏ ุนู†ุฏ 1%ุŸ ุจุฑุถู‡ don't rejectุŒ
896
+
897
+ 225
898
+ 00:20:32,210 --> 00:20:37,810
899
+ ู…ุธุจูˆุทุŸ ุฅุฐุง ุฃู†ุง ู…ุงุจุฑูุถุด ุนู†ุฏ 5ุŒ ุฃูƒูŠุฏ ู…ุด ู‡ุฑูุถ ุนู†ุฏ 1ุŒ
900
+
901
+ 226
902
+ 00:20:37,810 --> 00:20:44,110
903
+ ู…ุธุจูˆุทุŸ ุฎู„ุงุตุŸ ุทูŠุจ ู„ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ B value ุฃูƒุจุฑ ู…ู†
904
+
905
+ 227
906
+ 00:20:44,110 --> 00:20:50,030
907
+ 5ุŒ ุฃูƒูŠุฏ ุงู„ B value ุฃูƒุจุฑ ู…ู† 1ุŒ ู…ุธุจูˆุทุŸูŠุนู†ูŠ ุงู†ุง ู„ูˆ
908
+
909
+ 228
910
+ 00:20:50,030 --> 00:20:55,770
911
+ ูƒุงู†ุช ุงู„ b value 0.3 ูˆุงุฎุฏุช alpha ุจ 5% ุงูƒูŠุฏ ุจูŠ ..
912
+
913
+ 229
914
+ 00:20:55,770 --> 00:21:02,110
915
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ .. ูŠุงุฎุฏู‡ุง 6% ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงูƒุจุฑ ู…ู† 5%
916
+
917
+ 230
918
+ 00:21:02,110 --> 00:21:05,670
919
+ ู…ุธุจูˆุทุŸ ุงุฐุง we don't reject ู‡ู„ ู‡ูŠ ุงูƒุจุฑ ู…ู† ูˆุงุญุฏุŸ
920
+
921
+ 231
922
+ 00:21:05,670 --> 00:21:10,690
923
+ ุงูƒุจุฑุŒ ุงุฐุง we don't rejectุŒ ุงุฐุง ุงู„ู€ 87 ูˆ 89 ุฌูˆุง ุฒูŠ
924
+
925
+ 232
926
+ 00:21:10,690 --> 00:21:14,350
927
+ ุจุนุถ ุทุจ ู„ูˆ ุฃุฎุฏุช alpha ุจ 10% ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู†
928
+
929
+ 233
930
+ 00:21:14,350 --> 00:21:19,090
931
+ ุงู„ุนุดุฑุฉ ุฃุตุบุฑุŒ ุจุงู„ุชุงู„ูŠ we rejectุงู†ุชู… ู…ุนูŠู‡ ูˆู„ุง ูƒูŠูุŸ
932
+
933
+ 234
934
+ 00:21:19,090 --> 00:21:25,030
935
+ ูŠุนู†ูŠ ุงู†ุง ู„ูˆ ุฎุฏุช alpha ู…ุฎุชู„ูุฉ ุนู†ุฏ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉุŒ
936
+
937
+ 235
938
+ 00:21:25,030 --> 00:21:28,350
939
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฅุฐุง ุฃู†ุง ุฑูุถุช ุนู†ุฏ ุฎู…ุณุฉุŒ ุฅุฐุง ู…ุง ุฑูุถุชุด
940
+
941
+ 236
942
+ 00:21:28,350 --> 00:21:31,750
943
+ ุนู†ุฏ ุฎู…ุณุฉุŒ ุฃูƒูŠุฏ ู…ุด ุนุงุฑู ุงู„ู„ูŠ ุนู†ุฏ ูˆุงุญุฏุŒ ู„ูƒู† ู„ูˆ ุฎุฏุช
944
+
945
+ 237
946
+ 00:21:31,750 --> 00:21:38,970
947
+ alpha ุจุชูŠู†ุŒ ู‡ู†ุง ุจุฑุถู‡ุŒ ุงูŠุฉ ุณูˆูŠุฉ ุชู…ุงู†ูŠู†ุŒ ู„ู†ูุณ
948
+
949
+ 238
950
+ 00:21:38,970 --> 00:21:43,970
951
+ ุงู„ุณุคุงู„ุŒ ุฑูƒุฒูŠ ูƒูˆูŠุณ ุงู„ุณุคุงู„ ู‡ู†ุงreferring to scenario
952
+
953
+ 239
954
+ 00:21:43,970 --> 00:21:47,470
955
+ 99, the lowest level of significance at which the
956
+
957
+ 240
958
+ 00:21:47,470 --> 00:21:51,990
959
+ null can still be rejected ุงูŠู‡ ุงู„ B valueุŸ ุทู„ุน ุงู„
960
+
961
+ 241
962
+ 00:21:51,990 --> 00:21:55,950
963
+ B .. ู…ู…ูƒู† ุทู„ุน ุงู„ B value ุดูˆู ุงู†ุง ู„ูˆ ุทู„ุนุช ุงู„ B
964
+
965
+ 242
966
+ 00:21:55,950 --> 00:22:04,670
967
+ valueุŒ ุจูƒูˆู† ุฃุณู„ุฉ ุจุญุงู„ูŠ ุงู„ุทูŠุด ุณูˆุช ููŠ ุงู„ุณุคุงู„ ุฏู‡ุŒ
968
+
969
+ 243
970
+ 00:22:04,670 --> 00:22:08,490
971
+ ู…ุธุจูˆุทุŸ ุทู„ุน ุงู„ B valueุงู„ู€ P value ุงู„ู„ูŠ ู‡ูŠ ุงู„
972
+
973
+ 244
974
+ 00:22:08,490 --> 00:22:11,430
975
+ probability ุงู„ู„ูŠ ู‡ูŠ ุงู„ probability P ุฃู‚ู„ ู…ู†
976
+
977
+ 245
978
+ 00:22:11,430 --> 00:22:15,430
979
+ negative one point six six ูู‡ุชุทู„ุน ู…ุด exact answer
980
+
981
+ 246
982
+ 00:22:15,430 --> 00:22:25,010
983
+ approximate result ู‡ุชุทู„ุน ุนู†ุฏ ุงูŠู‡ ุชุณุนุชุงุด ูˆุงุญุฏ ุณุชุฉ
984
+
985
+ 247
986
+ 00:22:25,010 --> 00:22:32,010
987
+ ุณุชุฉ ุชู‚ุฑูŠุจุง ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ู…ุด ู‡ูŠู ููˆุงุถุญ ู‡ูŠ ู‡ุชูƒูˆู† ุงู„
988
+
989
+ 248
990
+ 00:22:32,010 --> 00:22:35,630
991
+ P value ู‡ุฐู‡ ุฎู…ุณุฉ ู…ุด ู‡ูŠู is ุงู„ุฃูƒุจุฑ ุงู„ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
992
+
993
+ 249
994
+ 00:22:36,480 --> 00:22:46,480
995
+ ุชู‚ุฑูŠุจุง ุงู„ B value ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุซู…ุงู†ูŠุฉ ู…ู…ูƒู†
996
+
997
+ 250
998
+ 00:22:46,480 --> 00:22:53,200
999
+ ู…ู…ูƒู† ูŠุนู†ูŠ ู‡ุชูƒูˆู† ู…ุงุจูŠู† ุงู„ู‚ู…ุชูŠู† ู‡ุฏูˆู„ ู…ุงุจูŠู† ู„ุญุธุฉ ู…ุด
1000
+
1001
+ 251
1002
+ 00:22:53,200 --> 00:22:57,060
1003
+ ูƒุงุชุจ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุฃูˆ ุจุชูƒุชุจูŠู‡ุง ุงู„ B value ุฃูƒุจุฑ ู…ู†
1004
+
1005
+ 252
1006
+ 00:22:57,060 --> 00:23:05,490
1007
+ ุฎู…ุณุฉ ูˆู‚ุงู„ ู…ู† ู…ูŠู†ุŸ ู…ู† ุนุดุฑุฉุชุงุฎุฏ ุงู„ู€ average ู‡ูŠ
1008
+
1009
+ 253
1010
+ 00:23:05,490 --> 00:23:12,310
1011
+ ุญูˆุงู„ูŠู†ุง ู‚ูŠู…ุฉ ู…ู†ู‡ุง ูุจุงู„ุชุงู„ูŠ ู†ุฑุฌุน ุชุงู†ูŠ ู„ู„ุณุคุงู„ ุงูŠุด
1012
+
1013
+ 254
1014
+ 00:23:12,310 --> 00:23:17,130
1015
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ significance level of significance at
1016
+
1017
+ 255
1018
+ 00:23:17,130 --> 00:23:21,250
1019
+ which the null still rejected ุงู†ุง ุจุฑูุฑ ุงุฐุง ูƒุงู†ุช ุงู„
1020
+
1021
+ 256
1022
+ 00:23:21,250 --> 00:23:25,730
1023
+ value ุฃุตุบุฑ ู…ู† Alpha ุงู„ value ู…ู† Zero ู„ุบุงูŠุฉ ูˆุงุญุฏ ู…ู†
1024
+
1025
+ 257
1026
+ 00:23:25,730 --> 00:23:30,770
1027
+ ุงู„ุนุดุฑุฉ ุงูŠุด Alpha ู‡ุชูƒูˆู† ุนุดุงู† ู‡ูŠ ุชูƒูˆู† ุฃุตุบุฑ ู…ู†ู‡ุง ุฎุฏ
1028
+
1029
+ 258
1030
+ 00:23:30,770 --> 00:23:34,830
1031
+ ุฃูŠ ู‚ูŠู…ุฉุงู„ู„ูŠ ูŠุนู†ูŠ ุงุญู†ุง we reject ุงุฐุง ูƒุงู†ุช ุงู„ BV
1032
+
1033
+ 259
1034
+ 00:23:34,830 --> 00:23:37,690
1035
+ ุงู„ู„ูŠ ุฃุตุบุฑ ู…ู† AlphaุŒ ู…ุธุจูˆุทุŸ ุงู„ BV ุงู„ู„ูŠ ุจุชุงุนุฉ ู…ู†
1036
+
1037
+ 260
1038
+ 00:23:37,690 --> 00:23:44,570
1039
+ ุฎู…ุณุฉ ู„ูˆุงุญุฏุŒ ุฅูŠุด ูŠุงุฎุฏ AlphaุŸ ู„ูˆ ุฃุฎุฏุชู‡ุง Zero ุชุณุนุฉุŒ
1040
+
1041
+ 261
1042
+ 00:23:44,570 --> 00:23:51,950
1043
+ ุงู„ู„ูŠ ู‡ุฏูˆู„ ุงู„ู‚ูŠู… Zero ุฎู…ุณุฉ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฃู‚ู„ุŒ ุงุฐุง
1044
+
1045
+ 262
1046
+ 00:23:51,950 --> 00:23:55,550
1047
+ we rejectุŒ ุจุฏูŠ ุฃู…ุดูŠุŒ ุฃู†ุง ู…ุด ุนุงุฑู ุฃู†ูŠ ู„ุบูŠุช ูˆุงู† ุฃุตู„ุŒ
1048
+
1049
+ 263
1050
+ 00:23:55,550 --> 00:24:02,220
1051
+ ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู…ู…ูƒู† ุฃุฎุฏ ุชู…ุงู†ูŠุฉ ู…ู† ุงู„ู…ูŠุฉุŒ ู…ุธุจูˆุทุŸู„ุงู†
1052
+
1053
+ 264
1054
+ 00:24:02,220 --> 00:24:05,740
1055
+ ุงู†ุง ู…ุด ุจุงุทู„ุน ุงู„ู€ P value ุงู„ู€ exact answer ู„ูˆ ูƒุชุทู„ุน
1056
+
1057
+ 265
1058
+ 00:24:05,740 --> 00:24:09,360
1059
+ ุงู„ู‚ูŠู…ุฉ ุงู„ูุนู„ูŠุฉ ู„ู„ู€ P value ูƒูŠุด ุจุฏุนู…ู„ู‡ ุงู„ู€ TTL
1060
+
1061
+ 266
1062
+ 00:24:09,360 --> 00:24:15,220
1063
+ ู…ุงุจุจุทู„ุน ุญุงุด ู…ู…ูƒู† ุงุทู„ุนู„ูƒ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ exact ู…ู† ุงู„ู€
1064
+
1065
+ 267
1066
+ 00:24:15,220 --> 00:24:19,200
1067
+ Excel ูŠุนู†ูŠ ุงูุชุฑุถ ุงู† ุงู†ุง ู…ุนุงูŠุง Excel ุจุงุทู„ุน ุงู„ P
1068
+
1069
+ 268
1070
+ 00:24:19,200 --> 00:24:22,100
1071
+ value ุงูˆุฑูŠูƒ ูƒูŠู ุงุทู„ุน ุงู„ P value ููŠ ุงู„ Excel ู„ูˆ
1072
+
1073
+ 269
1074
+ 00:24:22,100 --> 00:24:26,000
1075
+ ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ุฏูŠ ู…ูˆุฌูˆุฏุฉ ุฑูƒุฒูŠ ู…ุนุงูŠุง
1076
+
1077
+ 270
1078
+ 00:24:30,740 --> 00:24:42,280
1079
+ ู‡ูŠ ุงู„ู€ T ุงู…ุง ุงู†ุง ุทู„ุนุช ุงู„ู€ P-Value ู‡ูŠ
1080
+
1081
+ 271
1082
+ 00:24:42,280 --> 00:24:46,900
1083
+ ุทู„ุนุช ุงู„ P-Value ุจุณ ู‡ู… ู…ุงุชุทู„ุนุด ุงู„ู€ Exact Answer ุงู„ู€
1084
+
1085
+ 272
1086
+ 00:24:46,900 --> 00:24:50,420
1087
+ T ู…ุงุชุทู„ุนุด ุชู‚ูŠู…ู‡ุง ุงู„ูุนู„ูŠุฉ ุฎู„ูŠู†ุง ู†ุทู„ุนู‡ุง ูƒูŠุงุจ ุงู„ู€
1088
+
1089
+ 273
1090
+ 00:24:50,420 --> 00:24:54,640
1091
+ Excel ู‡ูŠ ุงู„ู€ DF ู…ุชุณุงูˆูŠุฉ 19
1092
+
1093
+ 274
1094
+ 00:24:58,110 --> 00:25:00,810
1095
+ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ู€ P value ูุชุฑุถูŠ ู‡ูŠูƒ ุงู„ P value
1096
+
1097
+ 275
1098
+ 00:25:00,810 --> 00:25:06,130
1099
+ ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ูุชุฑุถูŠ ู‡ูŠูƒ P
1100
+
1101
+ 276
1102
+ 00:25:06,130 --> 00:25:08,450
1103
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ูุชุฑุถูŠ
1104
+
1105
+ 277
1106
+ 00:25:08,450 --> 00:25:11,090
1107
+ ู‡ูŠูƒ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value
1108
+
1109
+ 278
1110
+ 00:25:11,090 --> 00:25:15,750
1111
+ ูุชุฑุถูŠ ู‡ูŠูƒ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P
1112
+
1113
+ 279
1114
+ 00:25:15,750 --> 00:25:16,370
1115
+ ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ
1116
+
1117
+ 280
1118
+ 00:25:16,370 --> 00:25:17,950
1119
+ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง
1120
+
1121
+ 281
1122
+ 00:25:17,950 --> 00:25:21,650
1123
+ ุงุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P
1124
+
1125
+ 282
1126
+ 00:25:21,650 --> 00:25:25,490
1127
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ
1128
+
1129
+ 283
1130
+ 00:25:27,390 --> 00:25:31,950
1131
+ ุงู„ู€ exact answer 05666 ุฃู†ุง ุญูƒูŠุชุด ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡
1132
+
1133
+ 284
1134
+ 00:25:31,950 --> 00:25:36,050
1135
+ ู…ุธุจูˆุทุŸ ู‡ูŠ ุฃูƒุจุฑ ู…ู†ู‡ุง ูˆ ุฃู‚ู„ ู…ู† ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ุทู„ุนุช ุงู„ู€
1136
+
1137
+ 285
1138
+ 00:25:36,050 --> 00:25:39,550
1139
+ exact ุดูุช ุณุงูˆูŠุŸ
1140
+
1141
+ 286
1142
+ 00:25:39,550 --> 00:25:47,630
1143
+ 05666 ู†ุฑุฌุน ุชุงู†ูŠ ู„ู„ุณุคุงู„ ู‡ูˆ ุจูŠุณุฃู„ ู‚ุฏุงุด ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„
1144
+
1145
+ 287
1146
+ 00:25:47,630 --> 00:25:53,290
1147
+ Alpha ุนุดุงู† ุณูŠู„ูˆูŠ ูŠ reject ุฅุฐุง ู„ูˆ ุฃู†ุง ู‡ุงุฏู‰ ุฃุตุบุฑ ู…ู†
1148
+
1149
+ 288
1150
+ 00:25:53,290 --> 00:25:59,570
1151
+ ู…ูŠู†ุŸ ุฎุฏูŠ Alphaู„ูˆ ูƒุงู†ุช ุจ1% ู…ุด ู‡ูŠู†ูุน ู…ุธุจูˆุท ูˆู„ุง 2%
1152
+
1153
+ 289
1154
+ 00:25:59,570 --> 00:26:06,350
1155
+ ูˆู„ุง 3% ูˆู„ุง 5% ุนู† 6% ู‡ูŠ ุฃู‚ู„ ู…ุธุจูˆุท ุจุงู„ุชุงู„ูŠ ุฃุตุบุฑ ู‚ูŠู…ุฉ
1156
+
1157
+ 290
1158
+ 00:26:06,350 --> 00:26:09,410
1159
+ ุงู„ alpha ุณูˆุงุก 6% ู„ุญุธุฉ ู„ู…ุง ุจุฏุช ุฃุญู„ ุจุฏุช ุฃุญู„ ุนู„ู‰ 8%
1160
+
1161
+ 291
1162
+ 00:26:09,410 --> 00:26:13,530
1163
+ ู„ุฃู†ู‡ ุฃู‚ู„ ู…ู† 1 ู…ู† 10 ุงู†ุช ุงุนุชุจุฑ ููŠ ุงู…ุชุญุงู† ุงู†ุง ุจูŠุนุทูŠูƒ
1164
+
1165
+ 292
1166
+ 00:26:13,530 --> 00:26:17,550
1167
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุญูƒูŠุชู„ูƒ ุงูŠุด ุฃุตุบุฑ ู‚ูŠู…ุฉ ุงู„ alpha ุงู„ cell
1168
+
1169
+ 293
1170
+ 00:26:17,550 --> 00:26:20,570
1171
+ we can choose ุงู„ cell we reject ุงูˆ ู„ุง ู„ุง ูŠุจู‚ู‰
1172
+
1173
+ 294
1174
+ 00:26:20,570 --> 00:26:20,770
1175
+ ุจุงุณู…ู‡ุง
1176
+
1177
+ 295
1178
+ 00:26:26,420 --> 00:26:31,400
1179
+ ู‡ุฐู‡ ุจูŠ value ูˆ ู„ุง ุจุชุญูƒูŠ ุนู† ุงู„ู„ูŠ ู‡ู†ุง ู‡ุฐู‡ ู…ุงุจุทู„ู‚ุด
1180
+
1181
+ 296
1182
+ 00:26:31,400 --> 00:26:34,540
1183
+ exact answer ุงู„ table ู…ุงุจุนุทูŠุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนู„ูŠุฉ ุจูŠุนุทูŠ
1184
+
1185
+ 297
1186
+ 00:26:34,540 --> 00:26:37,920
1187
+ ุจูŠู† ุฎู…ุชูŠู† ู‡ูŠ ุจูŠู† ุฎู…ุชูŠู†ุŒ ุจูŠู† zero ูˆ ุฎู…ุณุฉ ูˆ two ุงู„
1188
+
1189
+ 298
1190
+ 00:26:37,920 --> 00:26:43,640
1191
+ exact answer ู‡ูŠ ุงู„ answer suppose ุจูŠ values given
1192
+
1193
+ 299
1194
+ 00:26:43,640 --> 00:26:47,880
1195
+ ูˆ ุจุฏู‰ ุฃุฌุงุจุฉ ุนู„ู‰ ุงู„ุณุคุงู„ ุจุทู„ุน ุฃุตุบุฑ ู‚ูŠู…ุฉ ุฃู„ุง ูุชูƒูˆู†
1196
+
1197
+ 300
1198
+ 00:26:47,880 --> 00:26:53,800
1199
+ ู‚ุฏุงุดุฑ ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡ ู…ุธุจูˆุท ู…ุด ุนุงุฌุจุงูƒูŠ ู‡ุฐู‡ ุฎุฏูŠู‡ุง zero,
1200
+
1201
+ 301
1202
+ 00:26:54,020 --> 00:27:00,360
1203
+ ุฎู…ุณุฉ, ุณุชุฉ, ุณุจุนุฉู…ุธุจูˆุทุŸ ุฃูŠ ุญุงุฌุฉ ูˆุงุถุญ ุฃู† ู‡ุฐุง ุฃุตุบุฑ
1204
+
1205
+ 302
1206
+ 00:27:00,360 --> 00:27:06,560
1207
+ ู…ู†ู‡ุงุŒ ู„ุฐุงู„ ุณูŠู„ ุจูŠ reject ุทูŠุจ ุงู„ุจุนุฏ
1208
+
1209
+ 303
1210
+ 00:27:06,560 --> 00:27:10,420
1211
+ ุนูƒุณู‡ the highest level of significance at which
1212
+
1213
+ 304
1214
+ 00:27:10,420 --> 00:27:14,360
1215
+ the null cannot be rejected ุฃู†ู‡ ู…ูุฑูˆุถู‡ุงุดุŒ ุฃู†ุง
1216
+
1217
+ 305
1218
+ 00:27:14,360 --> 00:27:19,920
1219
+ ู…ูุฑูˆุถุด ู‡ุฐู‡ ุฅุฐุง ูƒุงู†ุช ุจ value ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูƒุจุฑ ู…ู†
1220
+
1221
+ 306
1222
+ 00:27:19,920 --> 00:27:24,740
1223
+ ู…ูŠู†ุŸ ุฎู…ุณุฉ
1224
+
1225
+ 307
1226
+ 00:27:24,740 --> 00:27:28,230
1227
+ ู…ู† ู…ูŠู†ุŸ ู…ุธุจูˆุทุŸู„ูˆ ุฃุฎุฏุช Alpha ููŠ 5%ุŒ ูุชูƒูˆู† ู‡ุฐุง
1228
+
1229
+ 308
1230
+ 00:27:28,230 --> 00:27:31,790
1231
+ ุงู„ู€highest ุทุจุนุงู‹ ุทุจุนุงู‹ ู…ู…ูƒู† ุชูƒูˆู† 4%ุŒ ู…ู…ูƒู† 3%ุŒ ู„ูƒู†
1232
+
1233
+ 309
1234
+ 00:27:31,790 --> 00:27:37,290
1235
+ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุฅูŠุดุŸ ูŠุนู†ูŠ ุฃู†ุง ู‡ูŠ ุงู„ู€line ุงู„ู€P value ู‡ูŠู‡ุง
1236
+
1237
+ 310
1238
+ 00:27:37,290 --> 00:27:42,170
1239
+ We don't reject ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ุชุญุช ุงู„ู€P value
1240
+
1241
+ 311
1242
+ 00:27:42,170 --> 00:27:46,830
1243
+ ู…ุงู„ู‡ุง ุฃูƒุจุฑ ู…ู† ุงู„ู€Alpha ุงู„ู€Alpha ู‡ุชูƒูˆู† ุฃูŠู† ู…ูˆุฌูˆุฏุฉุŸ
1244
+
1245
+ 312
1246
+ 00:27:46,830 --> 00:27:51,430
1247
+ ู‡ู†ุงุŒ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŸ ุฃู‡ ุฃู‡ ู…ุตุฏูˆู…ุŸ ุจุชู„ู‚ู‰ ุฃูŠ
1248
+
1249
+ 313
1250
+ 00:27:51,430 --> 00:27:57,020
1251
+ ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู† ู‡ุฐุง ุจุดูˆูŠุฉ ุฎุฏูŠู‡ุง 0.5ุฃูˆ ู…ุง ุดุงุก ุงู„ู„ู‡
1252
+
1253
+ 314
1254
+ 00:27:57,020 --> 00:28:00,600
1255
+ ุงุญู†ุง ู…ุด ู‡ู†ุงุฎุฏ ุนู„ุงู…ุงุช ุนุดุฑูŠุฉ ุฎู„ุงุต ุฅู…ุง 05 ุฃูˆ 06 ุฃูˆ ู…ุง
1256
+
1257
+ 315
1258
+ 00:28:00,600 --> 00:28:03,800
1259
+ ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชู‚ู„ ู„ุดุฑุทุฉ ุงู„ุนุดุฑุฉ
1260
+
1261
+ 316
1262
+ 00:28:12,880 --> 00:28:14,100
1263
+ ุงู„ุณุงุนุฉ ุงุชู†ูŠู† ูˆ ุชู…ุงู†ูŠู†
1264
+
1265
+ 317
1266
+ 00:28:45,340 --> 00:28:57,620
1267
+ ุจุงู„ู†ุณุจุฉ ู„ู„ูˆุธูŠูุฉุŒ ุจุงู„ู†ุณุจุฉ
1268
+
1269
+ 318
1270
+ 00:28:57,620 --> 00:29:04,130
1271
+ ู„ู„ูˆุธูŠูุฉุงู„ุณูŠู†ุงุฑูŠูˆ ุนุดุฑ ูˆ ุฃุญุฏุงุดุฑ ุฎู„ู†ุง ู†ู‚ุฑุฃ ููŠ ุงู„ุฃูˆู„
1272
+
1273
+ 319
1274
+ 00:29:04,130 --> 00:29:17,430
1275
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ู…ุฏูŠุฑ
1276
+
1277
+ 320
1278
+ 00:29:17,430 --> 00:29:25,020
1279
+ ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู†ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ู„ูŠ
1280
+
1281
+ 321
1282
+ 00:29:25,020 --> 00:29:31,080
1283
+ ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ููŠ ุงู„ูŠูˆู… ุงู„ุงุฌุชู…ุงุนูŠ ุนู„ูŠู†ุง
1284
+
1285
+ 322
1286
+ 00:29:31,080 --> 00:29:36,200
1287
+ ุฃุฌุงุจุฉ ู‡ูŠ ู…ุงู„ุนุฒุจ ุฃู‚ุฑุฃ ุงู„ุณุคุงู„ ูˆู„ุงุŸ ูˆ ู…ู† ุบูŠุฑ ุฃู‚ุฑุฃ
1288
+
1289
+ 323
1290
+ 00:29:36,200 --> 00:29:40,600
1291
+ ุงู„ุณุคุงู„ ู…ุด ุนุงุฑู ุฃุญู„ู‡ he
1292
+
1293
+ 324
1294
+ 00:29:40,600 --> 00:29:44,100
1295
+ is particularly interested in seeing if there is a
1296
+
1297
+ 325
1298
+ 00:29:44,100 --> 00:29:46,920
1299
+ difference in this proportion for accounting and
1300
+
1301
+ 326
1302
+ 00:29:46,920 --> 00:29:50,500
1303
+ economics majors ููŠู‡ two majors economics
1304
+
1305
+ 327
1306
+ 00:29:58,820 --> 00:30:02,740
1307
+ accounting in a random sum of hundred of each ุฃุฎุฏ
1308
+
1309
+ 328
1310
+ 00:30:02,740 --> 00:30:10,800
1311
+ ู…ูŠุฉ ู…ู† ุงู„ูƒู„ ูˆูƒู„ ูˆุงุญุฏ he
1312
+
1313
+ 329
1314
+ 00:30:10,800 --> 00:30:20,300
1315
+ found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and 52
1316
+
1317
+ 330
1318
+ 00:30:20,300 --> 00:30:30,310
1319
+ ู…ู† ุงู„ economic majorsู‡ุฐู‡ ุงู„ู€ access ู‡ุฐู‡
1320
+
1321
+ 331
1322
+ 00:30:30,310 --> 00:30:34,490
1323
+ job offers ู‡ุฐูˆ ุงู„ู„ูŠ ู„ุฌูˆุง ุดุบู„ if the accounting
1324
+
1325
+ 332
1326
+ 00:30:34,490 --> 00:30:37,910
1327
+ majors are designed as group one ุงู„ accounting
1328
+
1329
+ 333
1330
+ 00:30:37,910 --> 00:30:43,650
1331
+ ู‡ุฐูˆู„ู‡ group one ุฏุฎู„ู†ุง ุจุณ ู†ุนู…ู„ switching ูˆ ู‡ุฐูˆู„ู‡
1332
+
1333
+ 334
1334
+ 00:30:43,650 --> 00:30:44,050
1335
+ group two
1336
+
1337
+ 335
1338
+ 00:30:51,890 --> 00:30:55,030
1339
+ perform the appropriate hypothesis testing using
1340
+
1341
+ 336
1342
+ 00:30:55,030 --> 00:31:01,610
1343
+ level of significance alpha five percent ุงู„ุณุคุงู„
1344
+
1345
+ 337
1346
+ 00:31:01,610 --> 00:31:07,130
1347
+ ุงู„ุฃูˆู„ the hypothesis the dean should be used use R
1348
+
1349
+ 338
1350
+ 00:31:07,130 --> 00:31:10,650
1351
+ ู‡ูˆ
1352
+
1353
+ 339
1354
+ 00:31:10,650 --> 00:31:16,900
1355
+ ุงูŠุด ุญูƒู‰ ุงู„ุณุคุงู„ุŸ ุญูƒู‰ difference ูˆ ุฎู„ุงุตู…ุน ูƒุฏู‡ two
1356
+
1357
+ 340
1358
+ 00:31:16,900 --> 00:31:20,800
1359
+ -tailed ูˆุงุถุญ a is not the correct answer ููŠู‡ equal
1360
+
1361
+ 341
1362
+ 00:31:20,800 --> 00:31:30,200
1363
+ sign ุจูŠู‡ is the correct answer 82 ุงู„ุงู† ุจูŠุญูƒูŠ the
1364
+
1365
+ 342
1366
+ 00:31:30,200 --> 00:31:33,780
1367
+ null hypothesis will be rejected if the test
1368
+
1369
+ 343
1370
+ 00:31:33,780 --> 00:31:39,020
1371
+ statistic is .. ุจูŠุญูƒูŠ ุงู„ null will be rejected ุฅุฐุง
1372
+
1373
+ 344
1374
+ 00:31:39,020 --> 00:31:43,880
1375
+ ูƒุงู† ุงู„ test ูƒุฐ๏ฟฝ๏ฟฝุŒ ูุชุญุณุจ ุงู„ z ูŠุนู†ูŠ ู…ู…ูƒู† ุชุญุณุจ ุงู„ z
1376
+
1377
+ 345
1378
+ 00:31:43,880 --> 00:31:44,240
1379
+ instead
1380
+
1381
+ 346
1382
+ 00:31:48,310 --> 00:31:53,290
1383
+ ู…ุงุดูŠ ุงู†ุง ุจุญูƒูŠ the null will be rejected if the
1384
+
1385
+ 347
1386
+ 00:31:53,290 --> 00:31:59,170
1387
+ this statistic is .. ุทูŠุจ ุงุฐุง ุฎู„ุงุต ุงุฐุง ุงู†ุง ุจุฏูŠ ุญู„ู‡ุง
1388
+
1389
+ 348
1390
+ 00:31:59,170 --> 00:32:04,670
1391
+ ุงู†ุง ุจุญูƒูŠ ุงุฐุง ูƒุงู†ุช this statistic ู…ุงู„ู‡ุง ุงูƒุจุฑ ุงูˆ
1392
+
1393
+ 349
1394
+ 00:32:04,670 --> 00:32:08,010
1395
+ ุฃุนุธู… ู…ู† ุงู„ critical value ู„ูƒู† ู‡ู„ ู‡ูˆ ุนุงูŠุฒ ู‚ูŠู…ุฉ this
1396
+
1397
+ 350
1398
+ 00:32:08,010 --> 00:32:13,090
1399
+ statistic ุทุจุนุง ู„ุฃ if is greater than ุฌูˆุงุจ ู‡ูŠูƒ ุงุฐุง
1400
+
1401
+ 351
1402
+ 00:32:13,090 --> 00:32:14,310
1403
+ ูƒุงู†ุช this statistic is
1404
+
1405
+ 352
1406
+ 00:32:17,320 --> 00:32:26,580
1407
+ Z greater than Z alpha over 2 ุงูˆ Z
1408
+
1409
+ 353
1410
+ 00:32:26,580 --> 00:32:29,360
1411
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1412
+
1413
+ 354
1414
+ 00:32:29,360 --> 00:32:30,640
1415
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1416
+
1417
+ 355
1418
+ 00:32:30,640 --> 00:32:30,680
1419
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1420
+
1421
+ 356
1422
+ 00:32:30,680 --> 00:32:30,820
1423
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1424
+
1425
+ 357
1426
+ 00:32:30,820 --> 00:32:31,900
1427
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1428
+
1429
+ 358
1430
+ 00:32:31,900 --> 00:32:36,640
1431
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1432
+
1433
+ 359
1434
+ 00:32:36,640 --> 00:32:38,640
1435
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1436
+
1437
+ 360
1438
+ 00:32:38,640 --> 00:32:45,240
1439
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ
1440
+
1441
+ 361
1442
+ 00:32:46,580 --> 00:32:49,920
1443
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ Z-stat ูุงู„ูˆุณุท ุฃูˆ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŒ
1444
+
1445
+ 362
1446
+ 00:32:49,920 --> 00:32:52,520
1447
+ ูู†ู†ู‚ู„ู‡ุง ู…ู† ุงู„hypothesis ู‡ุฐุง ุงู„ู€ answer ุจุชุงุน ุงูŠุชูˆุŒ
1448
+
1449
+ 363
1450
+ 00:32:52,520 --> 00:32:57,580
1451
+ ูˆุงุถุญุŸ ุงูŠุชูˆ ุซู„ุงุซุฉุŒ ุงู„ู€ value of the test statisticุŒ
1452
+
1453
+ 364
1454
+ 00:32:57,580 --> 00:33:04,140
1455
+ ูŠุนู†ูŠ ุทู„ุจ ุงู„ู€ value ุจุญุณุจู‡ุง ุจุณ ุนุดุงู† ุฃุญุณุจู‡ุงุŒ ููŠ ุนู†ุฏู‰
1456
+
1457
+ 365
1458
+ 00:33:04,140 --> 00:33:09,560
1459
+ ุฃูƒุชุฑ ุฎุทุจุฉ ู„ุงุฒู… ุฃุนู…ู„ู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„ู‚ุงู†ูˆู† ู‡ูŠ B1 minus
1460
+
1461
+ 366
1462
+ 00:33:09,560 --> 00:33:21,960
1463
+ B2 minus B1 minus B2divide by P' ุทุจุนุง
1464
+
1465
+ 367
1466
+ 00:33:21,960 --> 00:33:30,700
1467
+ ุงู„ hypothesis ุจู‚ูˆู„ ุงู† P1 equals P2 ูˆุงู„ุชุงู†ูŠ P1 does
1468
+
1469
+ 368
1470
+ 00:33:30,700 --> 00:33:39,220
1471
+ not equal P2 ุทุจุนุง ุงู„ P1 ุจุทู„ุญู‡ุง P1
1472
+
1473
+ 369
1474
+ 00:33:39,220 --> 00:33:42,840
1475
+ X1 ุนู„ู‰ N1 ุงู„ู„ูŠ ู‡ูŠ 65
1476
+
1477
+ 370
1478
+ 00:33:47,380 --> 00:33:53,480
1479
+ ูˆุจุทู„ุน ุงู„ B2 ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ X2 ูˆY2 ุฎู…ุณุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1480
+
1481
+ 371
1482
+ 00:33:53,480 --> 00:33:57,580
1483
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1484
+
1485
+ 372
1486
+ 00:33:57,580 --> 00:33:58,320
1487
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1488
+
1489
+ 373
1490
+ 00:33:58,320 --> 00:33:58,480
1491
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1492
+
1493
+ 374
1494
+ 00:33:58,480 --> 00:34:01,300
1495
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1496
+
1497
+ 375
1498
+ 00:34:01,300 --> 00:34:01,960
1499
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1500
+
1501
+ 376
1502
+ 00:34:01,960 --> 00:34:14,220
1503
+ ูˆุงุซ
1504
+
1505
+ 377
1506
+ 00:34:15,610 --> 00:34:21,050
1507
+ ุจูŠู†ูุน ู„ุฃู† ุงู„ุงุชู†ูŠู† ุฒูŠ ุจุนุถ ุงู„ู€ sample size ุนู„ู‰ ุงู„ู€
1508
+
1509
+ 378
1510
+ 00:34:21,050 --> 00:34:27,750
1511
+ N1 ุฒูŠ ุงู„ู€ N2 ุนู„ู‰ ุงู„ู…ุญุชุฌุฉุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ู‡ุฐุง ุฃู‚ุจุฑ ุนู„ู‰
1512
+
1513
+ 379
1514
+ 00:34:27,750 --> 00:34:35,850
1515
+ point .. one point ุฌุณู…ูŠ
1516
+
1517
+ 380
1518
+ 00:34:35,850 --> 00:34:36,190
1519
+ ู„ูŠู‡ู…
1520
+
1521
+ 381
1522
+ 00:34:49,170 --> 00:34:52,830
1523
+ ุงู„ุฌูˆุงุจ ุฃูƒูŠุฏ ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุชู‡ ุจุนุฏ ู…ุง ุชุนุจุช ู‡ูˆ
1524
+
1525
+ 382
1526
+ 00:34:52,830 --> 00:34:56,490
1527
+ ุนุจุงุฑุฉ ุนู† ุงู„ average ุงู„ุชู†ุชูŠู† ู‡ุฏูˆู„ ุงู„ู„ูŠ ู‡ู… ุงู„ุชุงู†ูŠ
1528
+
1529
+ 383
1530
+ 00:34:56,490 --> 00:34:56,830
1531
+ ุงู„ู„ูŠ ู‡ู†ุง
1532
+
1533
+ 384
1534
+ 00:35:02,590 --> 00:35:07,090
1535
+ ุฎู„ุงุตุŸ ุฅุฐุง ุจู‚ุฏุฑ ุงู„ู€ B' ููŠ ุญุงู„ู‡ุง ุฏูŠ ุนุจุงุฑุฉ ุนู† B1 plus
1536
+
1537
+ 385
1538
+ 00:35:07,090 --> 00:35:11,410
1539
+ B2 ุงุชู†ูŠู†ุŒ ุจูŠู†ูุน ุงู„ุณุจุจ ุฃู† ุงู„ู€ sample sizes are the
1540
+
1541
+ 386
1542
+ 00:35:11,410 --> 00:35:16,290
1543
+ same ุทุจ ู…ู…ูƒู† ู‡ู†ุณุจุชู‡ุง ุฑูŠุงุถูŠุงุŒ ู‡ู†ุณุจุชู‡ุง ุณู‡ู„ ุนู„ู‰
1544
+
1545
+ 387
1546
+ 00:35:16,290 --> 00:35:19,890
1547
+ ุงู„ุนู…ูˆู…ุŒ ู‡ุงูŠ ุงู„ู€ B' ุนูŠุด ูƒู„ ุงุญุชุฌุงู… ุงู„ู„ูŠ ู‡ุชุนูˆุฏ ู‡ู†ุง ูˆ
1548
+
1549
+ 388
1550
+ 00:35:19,890 --> 00:35:25,990
1551
+ ุชุทู„ุน ู‚ูŠู…ุฉ ุงู„ู€ ZุŒ ุฎู„ุงุตุŸ ูŠุนู†ูŠ ุงู„ู€ B1 ู‡ูŠ ู…ูˆุฌูˆุฏุฉุŒ ู†ู‚ุต
1552
+
1553
+ 389
1554
+ 00:35:25,990 --> 00:35:30,690
1555
+ B2 ูˆ ู‡ุงูŠ ุงู„ู€ B'ุจุชุนูˆุถูŠ ุจุทู„ุงู‚ ุงู„ Z-stat ุงูŠุด ุทู„ุน
1556
+
1557
+ 390
1558
+ 00:35:30,690 --> 00:35:36,030
1559
+ ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ ูŠุนู†ูŠ ุงุดุชุบู„ุช ุนู„ูŠู‡ุง ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1560
+
1561
+ 391
1562
+ 00:35:36,030 --> 00:35:41,870
1563
+ ุจุทู„ุน ุงู„ Z-stat one
1564
+
1565
+ 392
1566
+ 00:35:41,870 --> 00:35:49,230
1567
+ point eight six five ู‡ุฐุง ุงู„ value ู„ู„ Z-stat ููŠ
1568
+
1569
+ 393
1570
+ 00:35:49,230 --> 00:35:54,750
1571
+ ู…ุซุงู„ ุฒูŠูƒูŠ ููŠ ุงู„ุงู…ุชุญุงู† ุงู†ุง ู…ุคูƒุฏ ู‡ุนุทูŠูƒ ููŠ ุญุณุงุจุงุช
1572
+
1573
+ 394
1574
+ 00:35:54,750 --> 00:36:00,220
1575
+ ุทูˆูŠู„ุฉ ุฒูŠ ูƒุฏู‡ ู‡ุนุทูŠูƒ ุงู„ Z-statู„ูˆ ูƒุงู†ุช ุทูˆูŠู„ุฉ ู„ูƒู† ููŠ
1576
+
1577
+ 395
1578
+ 00:36:00,220 --> 00:36:02,680
1579
+ ุณุคุงู„ ุจู‚ู‰ ุทู„ุจ ุงู„ B value ุจุฃุนุทูŠูƒูŠุด ุงู„ B value ุงู„ B
1580
+
1581
+ 396
1582
+ 00:36:02,680 --> 00:36:11,060
1583
+ value ุณู‡ู„ุฉ ุงู„ B value ูƒุฏู‡ ุจุทู„ุญู‡ุง ุทุงู„ู…ุง ุชุฑุชุฒ ูŠู…ูŠู† ูˆ
1584
+
1585
+ 397
1586
+ 00:36:11,060 --> 00:36:17,880
1587
+ ุดู…ุงู„ ูˆุงุญุฏุฉ ูˆ ุฃุถุฑู ุงุชู†ูŠู† ุงุฐุง ุงุชู†ูŠู†
1588
+
1589
+ 398
1590
+ 00:36:17,880 --> 00:36:22,620
1591
+ less than minus one less ุฃุณุงุณ ู…ุจุงุดุฑ ู…ู† ุงู„ table
1592
+
1593
+ 399
1594
+ 00:36:22,620 --> 00:36:27,940
1595
+ ู„ูƒู† ููŠ ุงู„ุงู…ุชุญุงู†ุฉ ู‡ุนุทูŠูƒ ุงู„ positive ุจุณุฎู„ุงุต ูุจุชุญุทูŠูƒูŠ
1596
+
1597
+ 400
1598
+ 00:36:27,940 --> 00:36:33,480
1599
+ ุงู„ู„ูŠ ุน ุงู„ูŠู…ูŠู† ูุจุชุงุฎุฑูŠูƒูŠ ุงู„ู„ูŠ ุฃูƒุจุฑ ูุฎู„ุงุต ููŠู‡ุง ุฏูŠ
1600
+
1601
+ 401
1602
+ 00:36:33,480 --> 00:36:45,480
1603
+ ุจุชุณุงูˆู‰ ุงุชู†ูŠู† ูˆุงุญุฏ ู†ู‚ุต one
1604
+
1605
+ 402
1606
+ 00:36:45,480 --> 00:36:47,880
1607
+ point eight six five ุทุจุนุง ุงู„ูƒุชุงุจ ู…ุด ู‡ูŠุนุทูŠูƒ eight
1608
+
1609
+ 403
1610
+ 00:36:47,880 --> 00:36:54,740
1611
+ six five ู…ุธุจูˆุท ุงุนู…ู„ูŠู‡ุง ุณุจุนุฉ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ู‡ุชุทู„ุนูŠ
1612
+
1613
+ 404
1614
+ 00:36:54,740 --> 00:37:05,650
1615
+ ุฌุงูŠุจ approximate resultุงู„ุฌูˆุงุจ ุจุงู„ุชู‚ุฑูŠุจ ุฅุฐุง
1616
+
1617
+ 405
1618
+ 00:37:05,650 --> 00:37:14,130
1619
+ ุฑุญ ุฃุฏูˆุฑ ุนู„ู‰ one point eight seven ู‡ุงูŠ eight ุซู„ุงุซ
1620
+
1621
+ 406
1622
+ 00:37:14,130 --> 00:37:21,390
1623
+ ุณุจุนุฉ ุฅูŠุด ุจุชุงุน ุงู„ุฌูˆุงุจ nine six nine three ุฅุฐุง one
1624
+
1625
+ 407
1626
+ 00:37:21,390 --> 00:37:22,330
1627
+ point eight seven
1628
+
1629
+ 408
1630
+ 00:37:32,390 --> 00:37:37,810
1631
+ 9693 9693 03
1632
+
1633
+ 409
1634
+ 00:37:37,810 --> 00:37:42,250
1635
+ 07 03
1636
+
1637
+ 410
1638
+ 00:37:42,250 --> 00:37:49,790
1639
+ 07 ู„ูˆ ุถุฑุจุชูŠู‡ู… ุจูŠุทู„ุน ุงู„ุฌูˆุงุจ ุชู‚ุฑูŠุจุง 0614 ู„ุฐุง ุงู„ B
1640
+
1641
+ 411
1642
+ 00:37:49,790 --> 00:37:55,610
1643
+ value 0614 ุงุฐุง ู…ุงุงู†ุณุงุด ุงุถุฑุจ ููŠ ุงุชู†ูŠู† ู„ุงู† ุนู†ุฏู‰
1644
+
1645
+ 412
1646
+ 00:37:55,610 --> 00:38:01,310
1647
+ total testุงู„ูŠู…ูŠู† ูˆ ุงู„ุดู…ุงู„ ุฒูŠ ุจุนุถ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนุช ุงู„
1648
+
1649
+ 413
1650
+ 00:38:01,310 --> 00:38:04,770
1651
+ lefts
1652
+
1653
+ 414
1654
+ 00:38:04,770 --> 00:38:09,330
1655
+ ุงู„ู„ูŠ ู‡ูˆ negative one point eight seven ู‡ูŠ negative
1656
+
1657
+ 415
1658
+ 00:38:09,330 --> 00:38:16,990
1659
+ one eight ู„ุบุงูŠุฉ ุงู„ุณุจุนุฉ three zero zero three zero
1660
+
1661
+ 416
1662
+ 00:38:16,990 --> 00:38:22,930
1663
+ seven ู‡ูŠ negative eight ุชุญุช ุงู„ุณุจุนุฉ zero three ู†ูุณ
1664
+
1665
+ 417
1666
+ 00:38:22,930 --> 00:38:26,790
1667
+ ุงู„ุฌูˆุง ู…ุด ู‡ูŠูƒ ูˆ ุถุฑุจูŠู‡ุง ููŠ ุงุชู†ูŠู† ุจุทู„ุน zero six one
1668
+
1669
+ 418
1670
+ 00:38:26,790 --> 00:38:27,090
1671
+ four
1672
+
1673
+ 419
1674
+ 00:38:35,600 --> 00:38:46,020
1675
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู€ P value ุงู„ุฎู…ุณุฉ
1676
+
1677
+ 420
1678
+ 00:38:46,020 --> 00:38:49,400
1679
+ ูˆุชู…ุงู†ูŠู† ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ูŠุฌุจ ุฃู† ูŠุชูู‚ู‚ ุงู„ู€ Hypothesis
1680
+
1681
+ 421
1682
+ 00:38:49,400 --> 00:38:53,000
1683
+ ุงู„ูˆุงุถุญ
1684
+
1685
+ 422
1686
+ 00:38:53,000 --> 00:38:57,960
1687
+ ุฃู† ุงู„ู€ P value ู‡ูˆ 0.6 ุฃูƒุจุฑ ุฅุฐุง ู„ู… ู†ุชูู‚ู‚ู‡ุŒ ูู‡ูˆ ุฎุงุทุฆ
1688
+
1689
+ 423
1690
+ 00:39:01,980 --> 00:39:08,900
1691
+ ุงู„ุณุคุงู„ ุงู„ุจุนุฏู‡ 86 ุจูŠุญูƒูŠ the same decision would be
1692
+
1693
+ 424
1694
+ 00:39:08,900 --> 00:39:12,720
1695
+ made with this test if the level of significance
1696
+
1697
+ 425
1698
+ 00:39:12,720 --> 00:39:21,000
1699
+ had been 01 ุฃุฎุฏ ุฃู„ู ูˆ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุฅุฐุง ุงุญู†ุง
1700
+
1701
+ 426
1702
+ 00:39:21,000 --> 00:39:25,540
1703
+ reject ุนู†ุฏ ุฎู…ุณุฉุฃูƒูŠุฏ ุนู†ุฏ ูˆุงุญุฏุฉ ุงู„ู…ูŠุฉ if we don't
1704
+
1705
+ 427
1706
+ 00:39:25,540 --> 00:39:29,420
1707
+ reject ุนู†ุฏ ุฎู…ุณุฉ always if we don't reject at alpha
1708
+
1709
+ 428
1710
+ 00:39:29,420 --> 00:39:32,680
1711
+ equal five percent still we don't reject ุนู†ุฏ ุฃูŠ
1712
+
1713
+ 429
1714
+ 00:39:32,680 --> 00:39:36,640
1715
+ level ุฃู‚ู„ ู…ู† ุงู„ุฎู…ุณุฉุŒ ุฃุตู„ุง ู„ุฃู†ูƒ ุชูƒูˆู† ุนู†ุฏ ุณุชุฉ ููŠ
1716
+
1717
+ 430
1718
+ 00:39:36,640 --> 00:39:41,600
1719
+ ุงู„ู…ูŠุฉ ูˆุงู„ alpha ุจุฎู…ุณุฉ ูƒุฏู‡ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ูˆ ุงู„ุฃูƒุจุฑ ู…ู†
1720
+
1721
+ 431
1722
+ 00:39:41,600 --> 00:39:42,740
1723
+ ุฎู…ุณุฉ ูƒุฏู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
1724
+
1725
+ 432
1726
+ 00:39:45,520 --> 00:39:49,840
1727
+ ุงุฐุง the same decision, they are not rejected ุทุจุนุง
1728
+
1729
+ 433
1730
+ 00:39:49,840 --> 00:39:55,320
1731
+ ู…ุด rejected, don't reject, ุงุฐุง false ูˆุงุถุญ ุฏุงูŠู…ุง if
1732
+
1733
+ 434
1734
+ 00:39:55,320 --> 00:39:58,620
1735
+ you don't reject at any level of significance then
1736
+
1737
+ 435
1738
+ 00:39:58,620 --> 00:40:01,640
1739
+ also you don't reject at any level greater than
1740
+
1741
+ 436
1742
+ 00:40:01,640 --> 00:40:07,520
1743
+ that level ู‡ุฐุง ุจุงู„ู†ุณุจุงู„ูŠ 86 ุฎู„ุงุตุŸ ูˆ ุจุชุนู…ู„ ุจู‚ู‰
1744
+
1745
+ 437
1746
+ 00:40:07,520 --> 00:40:08,540
1747
+ class ุฏู‡ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
1748
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/6MPJIpni4fw_raw.srt ADDED
@@ -0,0 +1,1776 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,920 --> 00:00:25,780
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ู‡ู†ุงุฎุฏ second review
4
+
5
+ 2
6
+ 00:00:25,780 --> 00:00:30,080
7
+ session for exam number two I will start now with
8
+
9
+ 3
10
+ 00:00:30,080 --> 00:00:32,880
11
+ chapter nine then after that we will go for some
12
+
13
+ 4
14
+ 00:00:32,880 --> 00:00:36,680
15
+ problems from chapter ten ุฎู„ุงุต ู‡ุงุฎุฏ ุดูˆูŠุฉ ู…ุซุงู„ ู…ู†
16
+
17
+ 5
18
+ 00:00:36,680 --> 00:00:39,980
19
+ ุงู„ุชุณุนุฉ ูˆ ุจุนุฏ ุดูˆูŠุฉ ู‡ุงุฎุฏ ุดูˆูŠุฉ ู…ุซุงู„ ู…ู† ุงู„ุนุดุฑุฉ
20
+
21
+ 6
22
+ 00:00:39,980 --> 00:00:48,000
23
+ scenario nine ten ู†ุชุทู„ุน ุนู„ู‰ ุงู„ุชุณุนุฉ ุนุดุฑุฉ scenario
24
+
25
+ 7
26
+ 00:00:48,000 --> 00:00:54,800
27
+ ุชุณุนุฉ ุนุดุฑุฉู…ุด ู‡ุงุช ุงู„ุณุคุงู„ ูŠุง ุนุฒูŠุฒูŠ ุจุญูƒูŠ
28
+
29
+ 8
30
+ 00:00:54,800 --> 00:01:01,240
31
+ manufacture produces life bulbs that have mean
32
+
33
+ 9
34
+ 00:01:01,240 --> 00:01:10,020
35
+ life of at least 500 hours at least five
36
+
37
+ 10
38
+ 00:01:10,020 --> 00:01:13,120
39
+ hundred
40
+
41
+ 11
42
+ 00:01:13,120 --> 00:01:18,080
43
+ hours when the production process is working
44
+
45
+ 12
46
+ 00:01:18,080 --> 00:01:22,630
47
+ properlyุฅุฐุง .. ุฅุฐุง ุงู„ .. ุงู„ .. ุงู„ process ู…ุงุดูŠ ุตุญุŒ
48
+
49
+ 13
50
+ 00:01:22,630 --> 00:01:26,050
51
+ ุชุดุชุบู„ ุจุดูƒู„ ู…ู†ุงุณุจุŒ ุงู„ main life ู„ู„ู„ู…ุจุฉ ุงู„ูƒู‡ุฑุจุง
52
+
53
+ 14
54
+ 00:01:26,050 --> 00:01:31,110
55
+ ู‡ุชูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ .. ู‡ุชุดุชุบู„ ุนู„ู‰ ุงู„ุฃู‚ู„ 500 ุณุงุนุฉุŒ ุชุนุฑู
56
+
57
+ 15
58
+ 00:01:31,110 --> 00:01:34,990
59
+ ุฃูŠ ู„ู…ุจุฉ ู†ูŠูˆู† ุฃูˆ ู„ู…ุจุฉ ุนุงุฏูŠุฉุŒ ุงู„ู„ูŠ ู„ู‡ุง ุนู…ุฑ ู…ุญุฏุฏุŒ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:34,990 --> 00:01:40,630
63
+ ุจูŠุญูƒูŠ ู„ูˆ ุงู„ู…ูƒูŠู†ุฉ ุฃูˆ ุงู„ุนู…ู„ูŠุฉ ู…ุดุช ุจุดูƒู„ ู…ู†ุงุณุจุŒ ู‡ูŠูƒูˆู†
64
+
65
+ 17
66
+ 00:01:40,630 --> 00:01:44,450
67
+ ุนู…ุฑู‡ุง ุงู„ main life ู„ู‡ at least ุนู„ู‰ ุงู„ุฃู‚ู„ 500 ุณุงุนุฉ
68
+
69
+ 18
70
+ 00:01:44,450 --> 00:01:51,650
71
+ ุฃูˆ 500 ุฃูˆ ุฃูƒุชุฑุจู†ุงุก ุนู„ู‰ ุฎุจุฑุฉ ุณุงุจู‚ุฉ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
72
+
73
+ 19
74
+ 00:01:51,650 --> 00:01:55,530
75
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:01:55,530 --> 00:01:58,550
79
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
80
+
81
+ 21
82
+ 00:01:58,550 --> 00:02:00,450
83
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
84
+
85
+ 22
86
+ 00:02:00,450 --> 00:02:02,530
87
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
88
+
89
+ 23
90
+ 00:02:02,530 --> 00:02:03,830
91
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:03,830 --> 00:02:05,690
95
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู† ูŠุนู†ูŠ
96
+
97
+ 25
98
+ 00:02:05,690 --> 00:02:10,670
99
+ ุณูŠุฌู…ุง ู…ุดุงูƒ ุจูŠุจูˆู„ูŠุดู‡ูˆ ุจูŠูˆู‚ู if there is evidence
100
+
101
+ 26
102
+ 00:02:10,670 --> 00:02:14,110
103
+ that the population mean light bulb life is below
104
+
105
+ 27
106
+ 00:02:14,110 --> 00:02:20,590
107
+ 500 hours ุฅุฐุง ู‡ูˆ ู‡ูŠุชูˆู‚ู ูŠุนู†ูŠ ููŠ ุนู†ุฏู‡ rules ู…ุนูŠู†ุฉ
108
+
109
+ 28
110
+ 00:02:20,590 --> 00:02:25,750
111
+ ุฅุฐุง ูƒุงู†ุช ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณู…ูŠุฉ ุณุงุนุฉ ู‡ูŠุดุชุบู„ ู„ูˆ ุตุงุฑุช ุฃู‚ู„
112
+
113
+ 29
114
+ 00:02:25,750 --> 00:02:30,350
115
+ ู…ู† ุฎู…ุณู…ูŠุฉ ู…ุด ู‡ูŠุนู…ู„ ู‡ูˆู‚ู ุงู„ุดุบู„ ุทูŠุจ referring to
116
+
117
+ 30
118
+ 00:02:30,350 --> 00:02:33,030
119
+ this scenario if you select a sample of a hundred
120
+
121
+ 31
122
+ 00:02:33,030 --> 00:02:40,340
123
+ light ุฃุฎุฏ ุงู„ sample size ู…ู† ู…ูŠุฉูˆูŠูƒูˆู†ูˆุง ู…ุณุชุนุฏูŠู†
124
+
125
+ 32
126
+ 00:02:40,340 --> 00:02:45,360
127
+ ู„ุฏูŠู‡ู… ู†ุณุจุฉ 10%
128
+
129
+ 33
130
+ 00:02:45,360 --> 00:02:47,860
131
+ ูƒู†ุณุจุฉ ู†ุณุจุฉ 10% ู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
132
+
133
+ 34
134
+ 00:02:47,860 --> 00:02:54,460
135
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
136
+
137
+ 35
138
+ 00:02:54,460 --> 00:02:54,600
139
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
140
+
141
+ 36
142
+ 00:02:54,600 --> 00:02:55,780
143
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
144
+
145
+ 37
146
+ 00:02:55,780 --> 00:02:55,780
147
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
148
+
149
+ 38
150
+ 00:02:55,780 --> 00:02:55,780
151
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ
152
+
153
+ 39
154
+ 00:02:55,780 --> 00:03:01,950
155
+ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ุณุจุฉ 10% ูƒู†ู…ู†
156
+
157
+ 40
158
+ 00:03:01,950 --> 00:03:08,050
159
+ ุงู„ุบูŠุงุจ ุฎู„ุงุต ู‡ุฐุง .. ู‡ุฐุง ุญุงุฌุฉ ุชุงู†ูŠุฉ ู‡ุฐุง ู„ุฅู† ุจุฏูŠ ุฃุญุณุจ
160
+
161
+ 41
162
+ 00:03:08,050 --> 00:03:12,150
163
+ ุงู„ type 2 error ูˆ ู…ู†ู‡ุง ุฃุทู„ุน ุงู„ bar ุฅุฐุง ูƒุงู† ุนู†ุฏู‰
164
+
165
+ 42
166
+ 00:03:12,150 --> 00:03:16,370
167
+ 490 ุงู„ X bar ูู‡ุฐุง ุฃู†ุง ู…ุด ุนุงูŠุฒุฉ 32 ุงู„ type 2 error
168
+
169
+ 43
170
+ 00:03:16,370 --> 00:03:20,850
171
+ ู…ุด ุนุงูŠุฒูŠู†ู‡ ุฎู„ุงุต
172
+
173
+ 44
174
+ 00:03:20,850 --> 00:03:25,090
175
+ ุฅุฐุง ุงู„ 32 ุงู„ 33 ู‡ุฏูˆู„ ุงุญู†ุง ู…ุด ุนุงูŠุฒูŠู†ู‡ู… ุชู„ุงุช ูˆ
176
+
177
+ 45
178
+ 00:03:25,090 --> 00:03:28,110
179
+ ุชู„ุงุชูŠู† ูŠุนู†ูŠ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ
180
+
181
+ 46
182
+ 00:03:28,110 --> 00:03:30,310
183
+ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุช ูˆ ุชู„ุชุงู„
184
+
185
+ 47
186
+ 00:03:30,310 --> 00:03:32,270
187
+ type one ุจูŠุณุงูˆูŠ ู…ุซู„ุง ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุฃูˆ ูˆุงุญุฏ ููŠ
188
+
189
+ 48
190
+ 00:03:32,270 --> 00:03:36,170
191
+ ุงู„ู…ูŠุฉุŒ ู„ูƒู† ุงุฐุง ูƒูŠู ู†ุญุณุจู‡ ู…ุงุฎุฏู†ู‡ูˆุดุŒ ุจุงู„ุชุงู„ูŠ ุงุชู†ูŠู† ูˆ
192
+
193
+ 49
194
+ 00:03:36,170 --> 00:03:38,930
195
+ ุชู„ุงุชูŠู†ุŒ ุชู„ุงุช ูˆ ุชู„ุงุชูŠู† ู„ุฃุŒ ุงุฑุจุนุฉ ูˆ ุชู„ุงุชูŠู†ุŒ ุงูŠุด
196
+
197
+ 50
198
+ 00:03:38,930 --> 00:03:42,870
199
+ ุจูŠุณุชุบู„ุน ุงู„ confidence coefficientุŸ ู„ุฃ ู…ุงุฎุฏู†ุงุด
200
+
201
+ 51
202
+ 00:03:42,870 --> 00:03:47,710
203
+ confidence intervalsุŒ ุจุงู„ุชุงู„ูŠ ุงู„ุณุคุงู„ ู‡ุฐุง ูŠุนู†ูŠ ู…ู†
204
+
205
+ 52
206
+ 00:03:47,710 --> 00:03:53,550
207
+ ุฃุตู„ู‡ ู…ุด ู„ุงุฒู… ู†ุญู„ูŠู‡ุŒ ุฎู„ุงุตุŸ ุงู„ confidence
208
+
209
+ 53
210
+ 00:03:53,550 --> 00:03:56,530
211
+ coefficient ู…ุนู†ุงู‡ุŒ one minus thousand ุตุญูŠุญุŒ ุจุณ
212
+
213
+ 54
214
+ 00:03:56,530 --> 00:04:01,460
215
+ ูŠุนู†ูŠ ู…ุด ู…ุณุชู‡ุฑูŠ ุจูƒูŠ ููŠ ุงู…ุชุญุงู†ู…ุด ูุงุณุชุบุฑุจุŒ ูุจุงู„ุชุงู„ูŠ
216
+
217
+ 55
218
+ 00:04:01,460 --> 00:04:07,260
219
+ ุฎู„ุงุต ุชุณุนุฉ ูˆ ุนุดุฑุฉ ุจู„ุงุด ู…ู†ู‡ุŒ ุงูŠุด ุบูŠุฑ ุชุณุนุฉ ูˆ ุนุดุฑุฉุŸ
220
+
221
+ 56
222
+ 00:04:07,260 --> 00:04:11,440
223
+ ุทูŠุจ ู„ู†ุง ู†ูุณ ุงู„ุณุคุงู„ ู‡ุฐุงุŒ ู„ูˆ ุทู„ุจุช ู…ู†ูƒ ุดุบู„ุชูŠู† ุฃุตุบุฑุŒ
224
+
225
+ 57
226
+ 00:04:11,440 --> 00:04:15,440
227
+ ู„ูˆ ุจุฏูŠ ุฃูƒุชุจ ุงู„ null hypothesis ูˆ ุงู„ alternate
228
+
229
+ 58
230
+ 00:04:15,440 --> 00:04:25,300
231
+ hypothesisุŒ ุงู„ null ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸู‡ุฐุง ุฃู‚ู„ ูˆู‡ุฐุง
232
+
233
+ 59
234
+ 00:04:25,300 --> 00:04:30,500
235
+ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุจูุชุฑุงุถ
236
+
237
+ 60
238
+ 00:04:30,500 --> 00:04:39,020
239
+ ุงู„ X bar equal 490 ู…ูุชุฑุถ ุงู„ X bar ู‡ูŠูƒ ูˆุจุฏูŠ ุฃุนู…ู„
240
+
241
+ 61
242
+ 00:04:39,020 --> 00:04:43,020
243
+ test ู„ู„ claim ู‡ุณุชุฎุฏู… Z ู…ุด ู‡ูŠูƒ ู„ุฅู† ุงู„ sigma is non
244
+
245
+ 62
246
+ 00:04:44,430 --> 00:04:49,970
247
+ ูุงู„ Z ุนู„ู‰ ุทูˆู„ ุจุญุณุจู‡ุง ุงู„ X bar ูุงู„
248
+
249
+ 63
250
+ 00:04:49,970 --> 00:04:56,550
251
+ X bar ู…ุนุฑูˆูุฉ ูˆ ุงู„ Mu ู…ุนุฑูˆูุฉ ูˆ ุงู„ Sigma ุฎู…ุณูŠู† ูˆ ุงู„
252
+
253
+ 64
254
+ 00:04:56,550 --> 00:05:04,130
255
+ N ู…ูŠุฉ ูุงู„ุณุงู„ุจ ุนุดุฑุฉ ู…ุธู‡ุฑ ุฎู…ุณูŠู† ุนู„ู‰ ุนุดุฑุฉ fifty ุนู„ู‰
256
+
257
+ 65
258
+ 00:05:04,130 --> 00:05:09,910
259
+ ten ูŠุนู†ูŠ negative tone Z negative tone ู„ูˆ ุนุงูŠุฒุฉ
260
+
261
+ 66
262
+ 00:05:09,910 --> 00:05:10,650
263
+ ุงุทู„ุน ุงู„ B value
264
+
265
+ 67
266
+ 00:05:15,360 --> 00:05:20,040
267
+ Z ุจุงู„ุณุงูˆูŠุฉ Z ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฃู‚ู„ ู…ู† ุณุงู„ ุงู„ุฃุชู†ูŠู†
268
+
269
+ 68
270
+ 00:05:20,040 --> 00:05:23,440
271
+ ุงู„ุฃู‚ู„ ู…ู† ุณุงู„ ุงู„ุฃุชู†ูŠู† ุทุงู„ุน ุนู„ู‰ Zero Zero ุชู…ุงู†ูŠุฉ
272
+
273
+ 69
274
+ 00:05:23,440 --> 00:05:27,740
275
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero
276
+
277
+ 70
278
+ 00:05:27,740 --> 00:05:30,940
279
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
280
+
281
+ 71
282
+ 00:05:30,940 --> 00:05:31,120
283
+ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
284
+
285
+ 72
286
+ 00:05:31,120 --> 00:05:31,120
287
+ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ
288
+
289
+ 73
290
+ 00:05:31,120 --> 00:05:31,120
291
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero
292
+
293
+ 74
294
+ 00:05:31,120 --> 00:05:32,860
295
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
296
+
297
+ 75
298
+ 00:05:32,860 --> 00:05:34,840
299
+ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
300
+
301
+ 76
302
+ 00:05:34,840 --> 00:05:34,900
303
+ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ
304
+
305
+ 77
306
+ 00:05:34,900 --> 00:05:34,900
307
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero
308
+
309
+ 78
310
+ 00:05:34,900 --> 00:05:36,180
311
+ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ Zero ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ ุชู…ุงู†ูŠุฉ
312
+
313
+ 79
314
+ 00:05:36,180 --> 00:05:45,650
315
+ Zero ุชู…ุงู†ูŠุฉุงุชู†ูŠู† ุงุชู†ูŠู†ุŸ ุงู„ุฌูˆุงุจ ุงุชู†ูŠู† ุงุชู†ูŠู†ุŸ ุฎู„ู‘ุง
316
+
317
+ 80
318
+ 00:05:45,650 --> 00:05:55,590
319
+ .. ุฎู„ู‘ุง ู†ุทู„ุน ุงู„ุฌุฏูˆู„ ู‡ุงูŠ
320
+
321
+ 81
322
+ 00:05:55,590 --> 00:05:58,790
323
+ ุงู„ุณู„ุจ ุงุชู†ูŠู†ุŸ
324
+
325
+ 82
326
+ 00:06:10,860 --> 00:06:19,100
327
+ ุงู„ู‚ุฑุงุฑ reject ูˆ ู„ุง don't reject ูˆุงุถุญ at alpha 10%
328
+
329
+ 83
330
+ 00:06:19,100 --> 00:06:25,360
331
+ ุงู„ P value equals 0 2 to 8 smaller than alpha ุฅุฐุง
332
+
333
+ 84
334
+ 00:06:25,360 --> 00:06:29,140
335
+ reject
336
+
337
+ 85
338
+ 00:06:29,140 --> 00:06:33,200
339
+ ุงู„ 0 ุทูŠุจ ู‡ู„ ุงู„ conclusion ุชุจุนูŠ ุฃูˆ ุงู„ decision
340
+
341
+ 86
342
+ 00:06:33,200 --> 00:06:37,160
343
+ ู‡ูŠุชุบูŠุฑ ู„ูˆ ุบูŠุฑุช alphaุŸ ู„ุฃู† ู„ูˆ ุฃุฎุฐุช alpha ุจ
344
+
345
+ 87
346
+ 00:06:41,070 --> 00:06:48,450
347
+ ุจุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุนู†ุฏ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ู„ูˆ ุฃู„ูุฉ five
348
+
349
+ 88
350
+ 00:06:48,450 --> 00:06:55,090
351
+ percent ู†ูุณ ุงู„ู‚ุฑุงุฑ ุทุจ ู„ูˆ ุฃู„ูุฉ one percent ู„ูˆ ูˆุงุญุฏ
352
+
353
+ 89
354
+ 00:06:55,090 --> 00:06:59,410
355
+ ู…ู† ู…ูŠุฉ ู‡ุฐูŠ
356
+
357
+ 90
358
+ 00:06:59,410 --> 00:07:02,730
359
+ ุฃูƒุจุฑ ูุจุชุนุฑููŠ don't reject ุฅุฐุง ุงู„ decision ุงุญุชู…ู„
360
+
361
+ 91
362
+ 00:07:02,730 --> 00:07:05,430
363
+ ุนู„ู‰ ุงู„ alpha ู…ู…ูƒู† reject ูˆ ู…ู…ูƒู† don't reject
364
+
365
+ 92
366
+ 00:07:11,870 --> 00:07:18,790
367
+ ุฃูŠุด ููŠู‡ ุณุคุงู„ ููŠ chapter 9ุŸ ุฃุนุทูŠู†ุง ุฑู‚ู… ุงู„ุณุคุงู„ ุทุจ
368
+
369
+ 93
370
+ 00:07:18,790 --> 00:07:23,070
371
+ ุทุงู„ุน ู„ 41 which of the following would be an
372
+
373
+ 94
374
+ 00:07:23,070 --> 00:07:28,190
375
+ appropriate null hypothesisุŸ ู…ูŠู† ู…ู†ุงุณุจ ู„ู„ nullุŸ
376
+
377
+ 95
378
+ 00:07:28,190 --> 00:07:32,480
379
+ the mean of a population is equal to 55the mean of
380
+
381
+ 96
382
+ 00:07:32,480 --> 00:07:35,480
383
+ a sample is equal to 55 ู„ุญุธุฉ ุจูŠุญูƒูŠ mean of
384
+
385
+ 97
386
+ 00:07:35,480 --> 00:07:39,000
387
+ population ุฏุงูŠู…ุง ุงู„ testing ุจูŠูƒูˆู† about population
388
+
389
+ 98
390
+ 00:07:39,000 --> 00:07:45,240
391
+ parameter ุจุงู„ุชุงู„ุฉ ู‡ุฐู‡ ุตุญ ู‡ุฐู‡ ู…ุธุจูˆุทุฉ ู‡ูƒุฐุง ุงู‡ ุซุงู†ูŠุฉ
392
+
393
+ 99
394
+ 00:07:45,240 --> 00:07:49,840
395
+ the mean of sample ุทุจุนุง ุนุดุงู† ุงู„ sample ู…ุด ุตุญ the
396
+
397
+ 100
398
+ 00:07:49,840 --> 00:07:54,040
399
+ mean of population is greater than 55 ุจุญูƒูŠ ุนู„ู‰ ุงู„
400
+
401
+ 101
402
+ 00:07:54,040 --> 00:07:58,640
403
+ null ุงู„ null ุจุณ ุจูŠูƒูˆู† ููŠู‡ ุงู„ equal sign ู…ุด greater
404
+
405
+ 102
406
+ 00:07:58,640 --> 00:08:04,650
407
+ ุฏู‡ ุจุงู„ุชุงู„ุฉ ุงู„ุฌูˆุงุจ ุจุณู‡ูˆ ุจูŠ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
408
+
409
+ 103
410
+ 00:08:04,650 --> 00:08:05,970
411
+ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ
412
+
413
+ 104
414
+ 00:08:05,970 --> 00:08:06,490
415
+ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
416
+
417
+ 105
418
+ 00:08:06,490 --> 00:08:14,350
419
+ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ
420
+
421
+ 106
422
+ 00:08:14,350 --> 00:08:14,530
423
+ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
424
+
425
+ 107
426
+ 00:08:14,530 --> 00:08:15,090
427
+ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ
428
+
429
+ 108
430
+ 00:08:15,090 --> 00:08:17,910
431
+ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ ุงูŠ ุงูˆ
432
+
433
+ 109
434
+ 00:08:18,380 --> 00:08:23,880
435
+ is not lessุŒ ุฅูŠุด ูŠุนู†ูŠ is not lessุŸ ุฃูƒุจุฑ ุฃูˆ ุฃุดุณุงูˆุฉ
436
+
437
+ 110
438
+ 00:08:23,880 --> 00:08:28,520
439
+ ุงู„ proportion
440
+
441
+ 111
442
+ 00:08:28,520 --> 00:08:37,560
443
+ is not lessุŒ ู‡ุฐุง ุตุญ ูˆู„ุง ุบู„ุทุŸ ู‡ุฐุง ุตุญุŒ ู…ุธุจูˆุทุŒ ุจูŠู‡
444
+
445
+ 112
446
+ 00:08:37,560 --> 00:08:41,840
447
+ similar proportionุŸ ุฃูƒูŠุฏ ู„ุฃุŒ similar proportion
448
+
449
+ 113
450
+ 00:08:41,840 --> 00:08:46,250
451
+ ุฃูŠู‡ ููŠู‡ุง similar ู…ุด ุตุญthe population proportion is
452
+
453
+ 114
454
+ 00:08:46,250 --> 00:08:48,890
455
+ less than ุฑุจู…ุง ุงู„ูุญุด ุงู„ู„ูŠ ูƒุงู† ููŠู‡ ุนู†ุฏ ุงู„ู†ุงู„ุŒ
456
+
457
+ 115
458
+ 00:08:48,890 --> 00:08:53,710
459
+ ุจุงู„ุชุงู„ุฉ ุฎุฏุชูƒ ุชุงู†ุตุฑ ุงุฒุงูŠุŸ ูƒูˆูŠุณ ุชุนุฑููŠ ูƒูŠู ุชูƒุชุจ ุงู„ู†ุงู„
460
+
461
+ 116
462
+ 00:08:53,710 --> 00:08:55,930
463
+ ุงู„ alternate hypothesisุŒ ูุงูƒูŠุฏ ููŠ ุงู„ุงู…ุชุญุงู† ุจุณ ุนุดุงู†
464
+
465
+ 117
466
+ 00:08:55,930 --> 00:09:03,820
467
+ ุงุฒุงูŠุทูŠุจ ุชุณุนุฉ
468
+
469
+ 118
470
+ 00:09:03,820 --> 00:09:07,720
471
+ ุชุณุนุฉุŸ ู‡ูŠ
472
+
473
+ 119
474
+ 00:09:07,720 --> 00:09:14,160
475
+ ุชุณุนุฉ ุชุณุนุฉ ูˆูŠู† ุชุณุนุฉ
476
+
477
+ 120
478
+ 00:09:14,160 --> 00:09:14,940
479
+ ุชุณุนุฉุŸ
480
+
481
+ 121
482
+ 00:09:27,350 --> 00:09:37,870
483
+ ุณุคุงู„ ุฑู‚ู… ูƒุฏู‡ุŸ ุฑู‚ู… ุงู„ุณุคุงู„ 65 ู‡ุงูŠ
484
+
485
+ 122
486
+ 00:09:37,870 --> 00:09:45,810
487
+ ุชุณุนุฉ ุณุชุฉ ุชุณุนุฉ ุณุชุฉ ุชุณุนุฉ ุณุชุฉ ู…ุด ู‡ูŠูƒ ุณุงุนุฉ ุชุณุนุฉ ุณุชุฉ
488
+
489
+ 123
490
+ 00:09:45,810 --> 00:09:50,330
491
+ ุณุคุงู„ ุฎู…ุณุฉ ุณุชูŠู† ุณุงุนุฉ ุณุชูŠู†
492
+
493
+ 124
494
+ 00:09:55,800 --> 00:10:05,900
495
+ ู…ุงููŠุด end ู‡ู†ุง ุชุณุนุฉ ุชุณุนุฉ ุณุคุงู„
496
+
497
+ 125
498
+ 00:10:05,900 --> 00:10:06,680
499
+ ุงุฑุจุนุฉ ูˆ ุชู…ุงู†ูŠุฉ
500
+
501
+ 126
502
+ 00:10:13,670 --> 00:10:35,990
503
+ ุงู„ุณุคุงู„ ู‡ุฐุง ู…ุด ู‡ุงุฑุŸ ุจูŠุญูƒูŠ
504
+
505
+ 127
506
+ 00:10:35,990 --> 00:10:39,070
507
+ the president of university claimed that the
508
+
509
+ 128
510
+ 00:10:39,070 --> 00:10:45,630
511
+ entering class this yearappeared to be larger than
512
+
513
+ 129
514
+ 00:10:45,630 --> 00:10:48,950
515
+ the entry class from previous years ูŠุนู†ูŠ ุจูŠุญูƒูŠ
516
+
517
+ 130
518
+ 00:10:48,950 --> 00:10:59,230
519
+ ุงู„ุณู†ุฉ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุฏุฎู„ูˆุง ุงู„ุฌุงู…ุนุฉ ู…ุงู„ู‡ู… ุงูƒุชุฑ ู…ุด ู‡ูŠ ุงูˆ
520
+
521
+ 131
522
+ 00:10:59,230 --> 00:11:05,010
523
+ larger but there means that score is lower than
524
+
525
+ 132
526
+ 00:11:05,010 --> 00:11:11,290
527
+ previous years ุงุฐุง ููŠู‡ุง ุงู†ุช ุดุบู„ุชูŠู† ุงู„ู†ู‚ุทุฉ ุงู„ุฃูˆู„ู‰
528
+
529
+ 133
530
+ 00:11:13,140 --> 00:11:17,400
531
+ ุงู„ู„ูŠ ุญูƒู‰ ุนู† ุงู„ entering ุนุฏุฏู‡ู…
532
+
533
+ 134
534
+ 00:11:17,400 --> 00:11:24,400
535
+ ูƒุงู† ุฃูƒุชุฑ ูƒุงู† larger ู„ูƒู†
536
+
537
+ 135
538
+ 00:11:24,400 --> 00:11:30,520
539
+ ุญูƒู‰ ุนู„ู‰ ุงู„ set score ูƒุงู†
540
+
541
+ 136
542
+ 00:11:30,520 --> 00:11:35,960
543
+ lower he
544
+
545
+ 137
546
+ 00:11:35,960 --> 00:11:38,240
547
+ took a sample of twenty of this year entering
548
+
549
+ 138
550
+ 00:11:38,240 --> 00:11:40,860
551
+ student ุฃุฎุฏ ุนุดุฑูŠู† ู…ู† ู‡ุฏูˆู„
552
+
553
+ 139
554
+ 00:11:45,800 --> 00:11:52,880
555
+ ูˆุงู†ุชุดุฑุช ุงู† ู…ูŠุงู† ุณุช ุณูƒูˆุฑู‡ู… ุทู„ุน ุงู„ู…ูŠุงู† ุณุช ุณูƒูˆุฑ ุนู„ู‰
556
+
557
+ 140
558
+ 00:11:52,880 --> 00:11:57,340
559
+ ุนู…ู„ูŠ 1000501
560
+
561
+ 141
562
+ 00:11:57,340 --> 00:12:05,900
563
+ ูˆุนู„ู‰ ุนู…ู„ูŠ 53 ILS
564
+
565
+ 142
566
+ 00:12:05,900 --> 00:12:11,140
567
+ ุนุฑู‘ูุช ููŠ ุญุงู„ุฉ ุงู† ู…ูŠุงู† ุณุช ุณูƒูˆุฑ ู„ุฏุฎูˆู„ ุงู„ุทู„ุงุจ ู…ู†
568
+
569
+ 143
570
+ 00:12:11,140 --> 00:12:15,240
571
+ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ the university record
572
+
573
+ 144
574
+ 00:12:15,240 --> 00:12:19,220
575
+ in the case that the main self score for entering
576
+
577
+ 145
578
+ 00:12:19,220 --> 00:12:24,400
579
+ students from previous year is ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุชุŒ
580
+
581
+ 146
582
+ 00:12:24,400 --> 00:12:33,360
583
+ ุฅูŠุด ูƒุงู†ุŸ ุงูŠู‡ from previous yearุŸ ุงู„ main ูƒุงู† ูƒุฏู‡ุดุŸ
584
+
585
+ 147
586
+ 00:12:33,360 --> 00:12:38,920
587
+ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† similar populationุŸ ู…ู…ุชุงุฒ population
588
+
589
+ 148
590
+ 00:12:40,620 --> 00:12:42,940
591
+ ู…ุงุญูƒูŠุด ูŠุงุฎุฏ ุทุจุนุง random sample of size ูƒุฐุง ูˆูŠุนุทุงู†ูŠ
592
+
593
+ 149
594
+ 00:12:42,940 --> 00:12:46,260
595
+ ู…ูŠู† ูƒุฐุง ุจูŠุญูƒูŠ ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุช ู…ู† ุงู„ุณู†ูˆุงุช ุงู„ู„ูŠ
596
+
597
+ 150
598
+ 00:12:46,260 --> 00:12:49,580
599
+ ูุงุชุช ู…ุนุงูƒ ุงู†ุช ุนู†ุฏู‡ ูƒู„ู‡ scores ุงู„ average ุชุจุนู‡ู… ู…ุน
600
+
601
+ 151
602
+ 00:12:49,580 --> 00:12:54,820
603
+ ูƒุฏู‡ ุจุชุชูƒู„ู… ุนู† population ู…ูŠู† ูƒูˆูŠุณ he wants to find
604
+
605
+ 152
606
+ 00:12:54,820 --> 00:12:59,140
607
+ out if his claim is supported by the evidence at 5
608
+
609
+ 153
610
+ 00:12:59,140 --> 00:13:02,900
611
+ % level ุจุฏู‡ ูŠุดูˆู ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญ ูˆู„ุง ู„ุฃ ู‡ูˆ ุญูƒู‰ ุงู„
612
+
613
+ 154
614
+ 00:13:02,900 --> 00:13:07,240
615
+ set value lower ุงุฐุง ุงู† ุงู„ุง hypothesis ู„ูˆ ุจุบูŠุฑ ู…ุง
616
+
617
+ 155
618
+ 00:13:07,240 --> 00:13:08,380
619
+ ุชุทู„ุน ุงู„ุงุณุฆู„ุฉ ุงู„ mean
620
+
621
+ 156
622
+ 00:13:13,490 --> 00:13:22,130
623
+ 1520 ู…ุด ุนุงูŠุฒ ูŠุนู…ู„ testing ู„ูŠุด ู„ุง ูŠุณุงูˆูŠ ู‡ูˆ ุงู„ claim
624
+
625
+ 157
626
+ 00:13:22,130 --> 00:13:28,830
627
+ ุชุจุนู‡ ู„ู„ุฏุนุงุก ุฃู†ู‡ ุฃู‚ู„ ูุงู„ุชุงู„ูŠ ุฃู‚ู„ ู‡ูˆ ุจูŠุณุฃู„ the null
628
+
629
+ 158
630
+ 00:13:28,830 --> 00:13:35,210
631
+ I pass for this ุงู„ุตุฏ ู‡ูŠ null ู…ู…ูƒู† ุฌุฏุง ู…ู…ุชุงุฒ ู‡ุฐูŠ
632
+
633
+ 159
634
+ 00:13:35,210 --> 00:13:39,700
635
+ ู…ูƒุชูˆุจุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃูˆ ุฃูƒุจุฑ ุฃูˆ ุฃุณุงู…ู‰ุงู„ุงุชู†ูŠู† ุตุญูŠุญุฉ
636
+
637
+ 160
638
+ 00:13:39,700 --> 00:13:45,360
639
+ ุงุญู†ุง just for simple use we use ู…ูŠูˆ equal .. not
640
+
641
+ 161
642
+ 00:13:45,360 --> 00:13:48,640
643
+ .. you can use either ู…ูŠูˆ equals fifteen hundred
644
+
645
+ 162
646
+ 00:13:48,640 --> 00:13:51,140
647
+ twenty or greater than or equal ู‡ุฏูˆู„ ุงู„ complement
648
+
649
+ 163
650
+ 00:13:51,140 --> 00:13:55,460
651
+ ุฅุฐุง ู‡ุฐู‡ ุฃู‚ู„ ุงู„ุชุงู†ูŠุด ุจุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆูŠ ุงู„ุณุงู…ุฉ ุงู„ู…ู‡ู… ุงู„
652
+
653
+ 164
654
+ 00:13:55,460 --> 00:13:59,520
655
+ equal sign appears on the null hypothesis ุจุชูƒูˆู†
656
+
657
+ 165
658
+ 00:13:59,520 --> 00:14:05,800
659
+ ูˆุฌูˆุฏุฉ ู‡ู†ุง eighty five ุงู„ternet ุงู„ternet hypothesis
660
+
661
+ 166
662
+ 00:14:05,800 --> 00:14:06,140
663
+ ู‡ูŠ
664
+
665
+ 167
666
+ 00:14:08,840 --> 00:14:13,340
667
+ ู…ุงุฐุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‚ูŠู…ุฉ ูƒุฑู‡ูŠุฉ ุงู„ู„ูŠ ูŠุณุชุฎุฏู…ู‡ุง ุงู„ุญุฌุฑ
668
+
669
+ 168
670
+ 00:14:13,340 --> 00:14:18,180
671
+ ู„ุฅูŠู‚ุงู ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ู‡ูˆ ุงุชูƒู„ู… ุนู„ู‰ 5% ู…ุด ู‡ูŠูƒุŸ
672
+
673
+ 169
674
+ 00:14:18,180 --> 00:14:22,600
675
+ ูˆุจุชูƒู„ู… ุนู„ู‰ ุงู„ุฃุณูู„ ุชุงู„ุช ุงุณุช ุฃุณูู„ ูŠุนู†ูŠ ุงู„ area to
676
+
677
+ 170
678
+ 00:14:22,600 --> 00:14:31,720
679
+ the left Alpha 5% ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ู…ุด ุงู„ุณุงูˆูŠุฉุŸ ู…ู…ุชุงุฒุฉ
680
+
681
+ 171
682
+ 00:14:31,720 --> 00:14:35,140
683
+ negative one point six four five ุงู„ one point nine
684
+
685
+ 172
686
+ 00:14:35,140 --> 00:14:38,220
687
+ six ู‡ูˆ kind of two-tailedู„ูƒู† ุงู„ one tail one point
688
+
689
+ 173
690
+ 00:14:38,220 --> 00:14:42,680
691
+ six four five it depends the sign either for lower
692
+
693
+ 174
694
+ 00:14:42,680 --> 00:14:45,500
695
+ tail is negative and upper tail is positive so
696
+
697
+ 175
698
+ 00:14:45,500 --> 00:14:51,020
699
+ that's for H6 ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ true or false the null
700
+
701
+ 176
702
+ 00:14:51,020 --> 00:14:54,760
703
+ hypothesis would be rejected ุฃุญู„ ุงู„ู…ุซู„ ู‡ุฐุง ูŠุฌุจ ุฃู†
704
+
705
+ 177
706
+ 00:14:54,760 --> 00:15:02,440
707
+ ุฃุญู„ ุงู„ุดูŠุก ุงู„ุณุฎุฏู… ูŠุงุด ุงู„ T test ู„ูŠุด ู„ุฃู†ู‡ ุนู†ุฏู†ุง ุงู„
708
+
709
+ 178
710
+ 00:15:02,440 --> 00:15:07,380
711
+ sampleูˆุงุถุญุŸ ุทุจุนุงู‹ ู†ุญุชุงุฌ ุฃู† ู†ุนุชู…ุฏ ุนู„ู‰ ุฃู† ุงู„ู…ุฌุชู…ุน
712
+
713
+ 179
714
+ 00:15:07,380 --> 00:15:15,220
715
+ ู…ุณุชุนู…ู„ ู„ุฃู† N ุตุบูŠุฑ ูุงุทู„ุน ุงู„ T T X bar ู…ุนู†ุงู‡ ู…ูŠูˆ S
716
+
717
+ 180
718
+ 00:15:15,220 --> 00:15:24,620
719
+ over square root of N ุงู„ X bar ู‡ูˆ 1501 ู…ูŠูˆ 1520
720
+
721
+ 181
722
+ 00:15:24,620 --> 00:15:33,740
723
+ over S 53 divided by square root of 20 ูุงุทู„ุน ุงู„ T
724
+
725
+ 182
726
+ 00:15:35,110 --> 00:15:40,290
727
+ this equals to negative nineteen divided by ุดูˆู
728
+
729
+ 183
730
+ 00:15:40,290 --> 00:15:44,970
731
+ ุงู†ูƒ ุชู„ุงุชุฉ ูˆ ุฎู…ุณูŠู† ุนู„ู‰ ุงู„ square root ู„ู„ุนุดุฑูŠู† ู†ุนู…
732
+
733
+ 184
734
+ 00:15:44,970 --> 00:15:53,450
735
+ ุฎู„ูŠู†ูŠ ุฃุญุณุจู‡ุง ููŠ ุงู„ุฃูˆู„ ุฃุญุฏ
736
+
737
+ 185
738
+ 00:15:53,450 --> 00:16:01,190
739
+ ูŠุญุณุจ ู„ูŠู‡ ูŠุนู†ูŠุŒ ุฅูŠุด ุจูŠุทู„ุน ุงู„ุฌุฑู…ุŸ negative one point
740
+
741
+ 186
742
+ 00:16:01,190 --> 00:16:08,960
743
+ ุณุชุฉ ุณุชุฉู‡ูŠ ุงู„ T ุงู„ statistic ุจุชุฑุฌุนูŠู‡ุง ุงู„ู„ูŠ ุงู†ุง ุนุดุงู†
744
+
745
+ 187
746
+ 00:16:08,960 --> 00:16:17,060
747
+ ุงู‚ุฑู„ู‡ ุงู„ู„ูŠ ุจุทู„ุน ู‡ุงูŠ ุงู„ T ุฎุฏู…ุชูƒ ุงู„ู„ูŠ ุทู„ุนุชู‡ ู‡ู†ุง ู‡ุฐุง
748
+
749
+ 188
750
+ 00:16:17,060 --> 00:16:22,200
751
+ ู„ูˆ ุจุณุชุฎุฏู… Z ุฅุฐุง ุฃู†ุง ุงู„ู„ูŠ ุจุทู„ุน ู‡ุงูŠ ุงู„ T ู…ุด ู‡ูŠ ุงู„ T
752
+
753
+ 189
754
+ 00:16:22,200 --> 00:16:27,100
755
+ critical ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ุทุจุนุง ุงู„ D ุฃู‡ ููŠ ุชุณุนุฉ ุนุดุฑ
756
+
757
+ 190
758
+ 00:16:27,100 --> 00:16:32,440
759
+ ุจุชุทู„ุน ุงู„ุฌุฏูˆู„ุŒ ุชู†ุณูŠุด ุงู„ Alpha ู…ุชุณุงูˆูŠ five percent
760
+
761
+ 191
762
+ 00:16:34,480 --> 00:16:49,960
763
+ ู‡ุฐู‡ ุงู„ุฌุฏูˆู„ุฉ ุงู„ุชูŠ ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ุฌุฏูˆู„ุฉ T ู†ุญู†
764
+
765
+ 192
766
+ 00:16:49,960 --> 00:16:59,340
767
+ ู„ุฏูŠู†ุง one third test ูˆู‡ุฐู‡ ุชุณุนุฉ ุนุดุฑ ุจู…ุดูŠ ู„ุบุงูŠุฉ five
768
+
769
+ 193
770
+ 00:16:59,340 --> 00:17:09,830
771
+ percent ู…ุงู‡ูŠ ุฌูˆุงุจู‡ุงุŸ1.729 ุฅุฐุง ุชูŠ ูƒุฑูŠุชูƒุงู„ 1.729 ุจุณ
772
+
773
+ 194
774
+ 00:17:09,830 --> 00:17:15,070
775
+ ู…ุงุดูŠ ุจุงู„ุณุงุจู‚ ู‡ุฐู‡ ูƒุงู†ุช ู…ุณุงุญุฉ ุฏุฑุงูŠุฉ ุฃู†ุง ุนุงูŠุฒุฉ win
776
+
777
+ 195
778
+ 00:17:15,070 --> 00:17:20,050
779
+ ูŠุนู†ูŠ negative 1.729 ู†ุญุธ ููŠ ุงู„ Z ุฅูŠุด ูƒุงู†ุช ุงู„ุฌูˆุงุจ
780
+
781
+ 196
782
+ 00:17:20,050 --> 00:17:23,750
783
+ ูŠุณุงูˆูŠ ูƒุงู†ุช
784
+
785
+ 197
786
+ 00:17:23,750 --> 00:17:30,070
787
+ negative 1645 ุญุงูˆู„ูŠู†ุง ู‡ู…ุดูŠ ููŠ ุฏู‡ ุงู„ุขู† adequately
788
+
789
+ 198
790
+ 00:17:30,070 --> 00:17:37,360
791
+ criticalุงู„ุงู† ู‚ูŠู…ุฉ ุงู„ู€-1.66 ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€rejection
792
+
793
+ 199
794
+ 00:17:37,360 --> 00:17:42,860
795
+ ูˆู„ุง ุจุฑุงุŸ ู„ุฃ ุจุฑุง ูˆุงุถุญ ุฃู†ู‡ุง ุจุฑุงุŸ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
796
+
797
+ 200
798
+ 00:17:42,860 --> 00:17:43,140
799
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
800
+
801
+ 201
802
+ 00:17:43,140 --> 00:17:43,320
803
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
804
+
805
+ 202
806
+ 00:17:43,320 --> 00:17:43,720
807
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
808
+
809
+ 203
810
+ 00:17:43,720 --> 00:17:44,820
811
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
812
+
813
+ 204
814
+ 00:17:44,820 --> 00:17:46,960
815
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
816
+
817
+ 205
818
+ 00:17:46,960 --> 00:17:52,880
819
+ ู„ุฃ ู„ุฃ
820
+
821
+ 206
822
+ 00:17:52,880 --> 00:17:54,340
823
+ ู„
824
+
825
+ 207
826
+ 00:18:01,550 --> 00:18:05,550
827
+ ุงู„ู„ูŠ ูŠุนู†ูŠ ู‡ูˆ ุบูŠุฑ ุงู„ู…ุซู„ุฉ ููŠ ุงู„ุณุคุงู„ ุงู„ุจุนุฏู‡ ุฅูŠุด
828
+
829
+ 208
830
+ 00:18:05,550 --> 00:18:11,110
831
+ ุงุฎุชู„ุงู ุตุงุฑุŸ
832
+
833
+ 209
834
+ 00:18:11,110 --> 00:18:17,930
835
+ ุบูŠุฑ ุงู„ alpha the null would be rejected if 10%
836
+
837
+ 210
838
+ 00:18:17,930 --> 00:18:20,610
839
+ probability of committing type 2 error one error
840
+
841
+ 211
842
+ 00:18:20,610 --> 00:18:27,370
843
+ is allowed ูŠุนู†ูŠ ุฃุฎุฏ alpha ุจ 11 ุจุณ
844
+
845
+ 212
846
+ 00:18:27,370 --> 00:18:34,130
847
+ ูƒู„ ุญุงุฌุฉ ุบูŠุฑู‡ู‡ูŠ ุงู„ู€ 1.10 ู„ู†ูุณ
848
+
849
+ 213
850
+ 00:18:34,130 --> 00:18:41,170
851
+ ุงู„ degrees of freedom ู‡ูŠ
852
+
853
+ 214
854
+ 00:18:41,170 --> 00:18:53,210
855
+ ู†ูุณ ุงู„ 19 1.38 ุงุฎุชู„ู
856
+
857
+ 215
858
+ 00:18:53,210 --> 00:19:00,470
859
+ ุงู„ูˆุถุน ุตุงุฑุช ุงู„ value negative 1.66 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุฅุฐุง
860
+
861
+ 216
862
+ 00:19:00,470 --> 00:19:03,310
863
+ ูˆุถุญ ุงู„ู€ critical value ุจุชุฎุชู„ู ุญุณุจ ู‚ูŠู…ุฉ ุงู„ู€ alpha
864
+
865
+ 217
866
+ 00:19:03,310 --> 00:19:07,510
867
+ ููŠ ุงู„ example ุงู„ุฃูˆู„ ูƒุงู†ุช negative one point seven
868
+
869
+ 218
870
+ 00:19:07,510 --> 00:19:11,590
871
+ ู„ุฐู„ูƒ ู„ู… ู†ุชุฌู‡ ุฅู„ุง ุฅุฐุง ุตุงุฑุช negative one point three
872
+
873
+ 219
874
+ 00:19:11,590 --> 00:19:16,470
875
+ two ู†ุงุฆูŠุฉ ุณุชุชุฌู‡ ุฅุฐุง ูˆุถุญ ุฃู†ู‡ ุจุชุนุชู…ุฏ ุนู„ู‰ ู‚ูŠู…ุฉ ุงู„
876
+
877
+ 220
878
+ 00:19:16,470 --> 00:19:20,050
879
+ alpha ุฅุฐุง
880
+
881
+ 221
882
+ 00:19:20,050 --> 00:19:27,450
883
+ ู„ู…ุง ุงู„ alpha 10% ุฅุฐุง ุงู„ null rejected it true ุบูŠุฑ
884
+
885
+ 222
886
+ 00:19:27,450 --> 00:19:40,130
887
+ ูƒู…ุงู† ู…ุฑุฉู„ูˆ ุฃุฎุฏ alpha ุจ 1% ุจุทู„ุน ุงู„ 1% ุจู…ุดูŠูƒ
888
+
889
+ 223
890
+ 00:19:40,130 --> 00:19:46,290
891
+ ู…ุน 1% two
892
+
893
+ 224
894
+ 00:19:46,290 --> 00:19:47,410
895
+ point five three nine
896
+
897
+ 225
898
+ 00:20:00,880 --> 00:20:09,400
899
+ -2.539$ ูˆุงุถุญุฉ ู‚ูŠู…ุฉ ุฏูŠ ู…ุงู„ู‡ุง ุจุฑุง ูˆู„ุง ุฌูˆุง ููŠ ุงู„ู€ non
900
+
901
+ 226
902
+ 00:20:09,400 --> 00:20:16,120
903
+ rejection region ูู„ุง ู†ู†ุฌุญ ู…ู† ุงู„hybrid ุฎู„ุงุต ุฅุฐุง ุฃู†ุง
904
+
905
+ 227
906
+ 00:20:16,120 --> 00:20:22,970
907
+ ู…ู…ูƒู† ุฃุญู„ ุงู„ุณู„ุงู…ุด ุฏุงูŠู…ุง ุจุงู„ุชูŠู…ู†ูŠุนู†ูŠ ู…ุซู„ุง ุนู†ุฏ 5% ุฅูŠุด
908
+
909
+ 228
910
+ 00:20:22,970 --> 00:20:28,070
911
+ ูƒุงู† ุงู„ุฌูˆุงุจุŸ don't rejectุŒ ู…ุธุจูˆุทุŸ ุทุจ ุฅุฐุง ุนู†ุฏ 5%
912
+
913
+ 229
914
+ 00:20:28,070 --> 00:20:32,210
915
+ don't rejectุŒ ุฃูƒูŠุฏ ุนู†ุฏ 1%ุŸ ุจุฑุถู‡ don't rejectุŒ
916
+
917
+ 230
918
+ 00:20:32,210 --> 00:20:37,810
919
+ ู…ุธุจูˆุทุŸ ุฅุฐุง ุฃู†ุง ู…ุงุจุฑูุถุด ุนู†ุฏ 5ุŒ ุฃูƒูŠุฏ ู…ุด ู‡ุฑูุถ ุนู†ุฏ 1ุŒ
920
+
921
+ 231
922
+ 00:20:37,810 --> 00:20:44,110
923
+ ู…ุธุจูˆุทุŸ ุฎู„ุงุตุŸ ุทูŠุจ ู„ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ B value ุฃูƒุจุฑ ู…ู†
924
+
925
+ 232
926
+ 00:20:44,110 --> 00:20:50,030
927
+ 5ุŒ ุฃูƒูŠุฏ ุงู„ B value ุฃูƒุจุฑ ู…ู† 1ุŒ ู…ุธุจูˆุทุŸูŠุนู†ูŠ ุงู†ุง ู„ูˆ
928
+
929
+ 233
930
+ 00:20:50,030 --> 00:20:55,770
931
+ ูƒุงู†ุช ุงู„ b value 0.3 ูˆุงุฎุฏุช alpha ุจ 5% ุงูƒูŠุฏ ุจูŠ ..
932
+
933
+ 234
934
+ 00:20:55,770 --> 00:21:02,110
935
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ .. ูŠุงุฎุฏู‡ุง 6% ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงูƒุจุฑ ู…ู† 5%
936
+
937
+ 235
938
+ 00:21:02,110 --> 00:21:05,670
939
+ ู…ุธุจูˆุทุŸ ุงุฐุง we don't reject ู‡ู„ ู‡ูŠ ุงูƒุจุฑ ู…ู† ูˆุงุญุฏุŸ
940
+
941
+ 236
942
+ 00:21:05,670 --> 00:21:10,690
943
+ ุงูƒุจุฑุŒ ุงุฐุง we don't rejectุŒ ุงุฐุง ุงู„ู€ 87 ูˆ 89 ุฌูˆุง ุฒูŠ
944
+
945
+ 237
946
+ 00:21:10,690 --> 00:21:14,350
947
+ ุจุนุถ ุทุจ ู„ูˆ ุฃุฎุฏุช alpha ุจ 10% ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู†
948
+
949
+ 238
950
+ 00:21:14,350 --> 00:21:19,090
951
+ ุงู„ุนุดุฑุฉ ุฃุตุบุฑุŒ ุจุงู„ุชุงู„ูŠ we rejectุงู†ุชู… ู…ุนูŠู‡ ูˆู„ุง ูƒูŠูุŸ
952
+
953
+ 239
954
+ 00:21:19,090 --> 00:21:25,030
955
+ ูŠุนู†ูŠ ุงู†ุง ู„ูˆ ุฎุฏุช alpha ู…ุฎุชู„ูุฉ ุนู†ุฏ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉุŒ
956
+
957
+ 240
958
+ 00:21:25,030 --> 00:21:28,350
959
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฅุฐุง ุฃู†ุง ุฑูุถุช ุนู†ุฏ ุฎู…ุณุฉุŒ ุฅุฐุง ู…ุง ุฑูุถุชุด
960
+
961
+ 241
962
+ 00:21:28,350 --> 00:21:31,750
963
+ ุนู†ุฏ ุฎู…ุณุฉุŒ ุฃูƒูŠุฏ ู…ุด ุนุงุฑู ุงู„ู„ูŠ ุนู†ุฏ ูˆุงุญุฏุŒ ู„ูƒู† ู„ูˆ ุฎุฏุช
964
+
965
+ 242
966
+ 00:21:31,750 --> 00:21:38,970
967
+ alpha ุจุชูŠู†ุŒ ู‡ู†ุง ุจุฑุถู‡ุŒ ุงูŠุฉ ุณูˆูŠุฉ ุชู…ุงู†ูŠู†ุŒ ู„ู†ูุณ
968
+
969
+ 243
970
+ 00:21:38,970 --> 00:21:43,970
971
+ ุงู„ุณุคุงู„ุŒ ุฑูƒุฒูŠ ูƒูˆูŠุณ ุงู„ุณุคุงู„ ู‡ู†ุงreferring to scenario
972
+
973
+ 244
974
+ 00:21:43,970 --> 00:21:47,470
975
+ 99, the lowest level of significance at which the
976
+
977
+ 245
978
+ 00:21:47,470 --> 00:21:51,990
979
+ null can still be rejected ุงูŠู‡ ุงู„ B valueุŸ ุทู„ุน ุงู„
980
+
981
+ 246
982
+ 00:21:51,990 --> 00:21:55,950
983
+ B .. ู…ู…ูƒู† ุทู„ุน ุงู„ B value ุดูˆู ุงู†ุง ู„ูˆ ุทู„ุนุช ุงู„ B
984
+
985
+ 247
986
+ 00:21:55,950 --> 00:22:04,670
987
+ valueุŒ ุจูƒูˆู† ุฃุณู„ุฉ ุจุญุงู„ูŠ ุงู„ุทูŠุด ุณูˆุช ููŠ ุงู„ุณุคุงู„ ุฏู‡ุŒ
988
+
989
+ 248
990
+ 00:22:04,670 --> 00:22:08,490
991
+ ู…ุธุจูˆุทุŸ ุทู„ุน ุงู„ B valueุงู„ู€ P value ุงู„ู„ูŠ ู‡ูŠ ุงู„
992
+
993
+ 249
994
+ 00:22:08,490 --> 00:22:11,430
995
+ probability ุงู„ู„ูŠ ู‡ูŠ ุงู„ probability P ุฃู‚ู„ ู…ู†
996
+
997
+ 250
998
+ 00:22:11,430 --> 00:22:15,430
999
+ negative one point six six ูู‡ุชุทู„ุน ู…ุด exact answer
1000
+
1001
+ 251
1002
+ 00:22:15,430 --> 00:22:25,010
1003
+ approximate result ู‡ุชุทู„ุน ุนู†ุฏ ุงูŠู‡ ุชุณุนุชุงุด ูˆุงุญุฏ ุณุชุฉ
1004
+
1005
+ 252
1006
+ 00:22:25,010 --> 00:22:32,010
1007
+ ุณุชุฉ ุชู‚ุฑูŠุจุง ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ู…ุด ู‡ูŠู ููˆุงุถุญ ู‡ูŠ ู‡ุชูƒูˆู† ุงู„
1008
+
1009
+ 253
1010
+ 00:22:32,010 --> 00:22:35,630
1011
+ P value ู‡ุฐู‡ ุฎู…ุณุฉ ู…ุด ู‡ูŠู is ุงู„ุฃูƒุจุฑ ุงู„ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
1012
+
1013
+ 254
1014
+ 00:22:36,480 --> 00:22:46,480
1015
+ ุชู‚ุฑูŠุจุง ุงู„ B value ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุซู…ุงู†ูŠุฉ ู…ู…ูƒู†
1016
+
1017
+ 255
1018
+ 00:22:46,480 --> 00:22:53,200
1019
+ ู…ู…ูƒู† ูŠุนู†ูŠ ู‡ุชูƒูˆู† ู…ุงุจูŠู† ุงู„ู‚ู…ุชูŠู† ู‡ุฏูˆู„ ู…ุงุจูŠู† ู„ุญุธุฉ ู…ุด
1020
+
1021
+ 256
1022
+ 00:22:53,200 --> 00:22:57,060
1023
+ ูƒุงุชุจ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุฃูˆ ุจุชูƒุชุจูŠู‡ุง ุงู„ B value ุฃูƒุจุฑ ู…ู†
1024
+
1025
+ 257
1026
+ 00:22:57,060 --> 00:23:05,490
1027
+ ุฎู…ุณุฉ ูˆู‚ุงู„ ู…ู† ู…ูŠู†ุŸ ู…ู† ุนุดุฑุฉุชุงุฎุฏ ุงู„ู€ average ู‡ูŠ
1028
+
1029
+ 258
1030
+ 00:23:05,490 --> 00:23:12,310
1031
+ ุญูˆุงู„ูŠู†ุง ู‚ูŠู…ุฉ ู…ู†ู‡ุง ูุจุงู„ุชุงู„ูŠ ู†ุฑุฌุน ุชุงู†ูŠ ู„ู„ุณุคุงู„ ุงูŠุด
1032
+
1033
+ 259
1034
+ 00:23:12,310 --> 00:23:17,130
1035
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ significance level of significance at
1036
+
1037
+ 260
1038
+ 00:23:17,130 --> 00:23:21,250
1039
+ which the null still rejected ุงู†ุง ุจุฑูุฑ ุงุฐุง ูƒุงู†ุช ุงู„
1040
+
1041
+ 261
1042
+ 00:23:21,250 --> 00:23:25,730
1043
+ value ุฃุตุบุฑ ู…ู† Alpha ุงู„ value ู…ู† Zero ู„ุบุงูŠุฉ ูˆุงุญุฏ ู…ู†
1044
+
1045
+ 262
1046
+ 00:23:25,730 --> 00:23:30,770
1047
+ ุงู„ุนุดุฑุฉ ุงูŠุด Alpha ู‡ุชูƒูˆู† ุนุดุงู† ู‡ูŠ ุชูƒูˆู† ุฃุตุบุฑ ู…ู†ู‡ุง ุฎุฏ
1048
+
1049
+ 263
1050
+ 00:23:30,770 --> 00:23:34,830
1051
+ ุฃูŠ ู‚ูŠู…ุฉุงู„ู„ูŠ ูŠุนู†ูŠ ุงุญู†ุง we reject ุงุฐุง ูƒุงู†ุช ุงู„ BV
1052
+
1053
+ 264
1054
+ 00:23:34,830 --> 00:23:37,690
1055
+ ุงู„ู„ูŠ ุฃุตุบุฑ ู…ู† AlphaุŒ ู…ุธุจูˆุทุŸ ุงู„ BV ุงู„ู„ูŠ ุจุชุงุนุฉ ู…ู†
1056
+
1057
+ 265
1058
+ 00:23:37,690 --> 00:23:44,570
1059
+ ุฎู…ุณุฉ ู„ูˆุงุญุฏุŒ ุฅูŠุด ูŠุงุฎุฏ AlphaุŸ ู„ูˆ ุฃุฎุฏุชู‡ุง Zero ุชุณุนุฉุŒ
1060
+
1061
+ 266
1062
+ 00:23:44,570 --> 00:23:51,950
1063
+ ุงู„ู„ูŠ ู‡ุฏูˆู„ ุงู„ู‚ูŠู… Zero ุฎู…ุณุฉ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฃู‚ู„ุŒ ุงุฐุง
1064
+
1065
+ 267
1066
+ 00:23:51,950 --> 00:23:55,550
1067
+ we rejectุŒ ุจุฏูŠ ุฃู…ุดูŠุŒ ุฃู†ุง ู…ุด ุนุงุฑู ุฃู†ูŠ ู„ุบูŠุช ูˆุงู† ุฃุตู„ุŒ
1068
+
1069
+ 268
1070
+ 00:23:55,550 --> 00:24:02,220
1071
+ ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู…ู…ูƒู† ุฃุฎุฏ ุชู…ุงู†ูŠุฉ ู…ู† ุงู„ู…ูŠุฉุŒ ู…ุธุจูˆุทุŸู„ุงู†
1072
+
1073
+ 269
1074
+ 00:24:02,220 --> 00:24:05,740
1075
+ ุงู†ุง ู…ุด ุจุงุทู„ุน ุงู„ู€ P value ุงู„ู€ exact answer ู„ูˆ ูƒุชุทู„ุน
1076
+
1077
+ 270
1078
+ 00:24:05,740 --> 00:24:09,360
1079
+ ุงู„ู‚ูŠู…ุฉ ุงู„ูุนู„ูŠุฉ ู„ู„ู€ P value ูƒูŠุด ุจุฏุนู…ู„ู‡ ุงู„ู€ TTL
1080
+
1081
+ 271
1082
+ 00:24:09,360 --> 00:24:15,220
1083
+ ู…ุงุจุจุทู„ุน ุญุงุด ู…ู…ูƒู† ุงุทู„ุนู„ูƒ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ exact ู…ู† ุงู„ู€
1084
+
1085
+ 272
1086
+ 00:24:15,220 --> 00:24:19,200
1087
+ Excel ูŠุนู†ูŠ ุงูุชุฑุถ ุงู† ุงู†ุง ู…ุนุงูŠุง Excel ุจุงุทู„ุน ุงู„ P
1088
+
1089
+ 273
1090
+ 00:24:19,200 --> 00:24:22,100
1091
+ value ุงูˆุฑูŠูƒ ูƒูŠู ุงุทู„ุน ุงู„ P value ููŠ ุงู„ Excel ู„ูˆ
1092
+
1093
+ 274
1094
+ 00:24:22,100 --> 00:24:26,000
1095
+ ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ุฏูŠ ู…ูˆุฌูˆุฏุฉ ุฑูƒุฒูŠ ู…ุนุงูŠุง
1096
+
1097
+ 275
1098
+ 00:24:30,740 --> 00:24:42,280
1099
+ ู‡ูŠ ุงู„ู€ T ุงู…ุง ุงู†ุง ุทู„ุนุช ุงู„ู€ P-Value ู‡ูŠ
1100
+
1101
+ 276
1102
+ 00:24:42,280 --> 00:24:46,900
1103
+ ุทู„ุนุช ุงู„ P-Value ุจุณ ู‡ู… ู…ุงุชุทู„ุนุด ุงู„ู€ Exact Answer ุงู„ู€
1104
+
1105
+ 277
1106
+ 00:24:46,900 --> 00:24:50,420
1107
+ T ู…ุงุชุทู„ุนุด ุชู‚ูŠู…ู‡ุง ุงู„ูุนู„ูŠุฉ ุฎู„ูŠู†ุง ู†ุทู„ุนู‡ุง ูƒูŠุงุจ ุงู„ู€
1108
+
1109
+ 278
1110
+ 00:24:50,420 --> 00:24:54,640
1111
+ Excel ู‡ูŠ ุงู„ู€ DF ู…ุชุณุงูˆูŠุฉ 19
1112
+
1113
+ 279
1114
+ 00:24:58,110 --> 00:25:00,810
1115
+ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ู€ P value ูุชุฑุถูŠ ู‡ูŠูƒ ุงู„ P value
1116
+
1117
+ 280
1118
+ 00:25:00,810 --> 00:25:06,130
1119
+ ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ูุชุฑุถูŠ ู‡ูŠูƒ P
1120
+
1121
+ 281
1122
+ 00:25:06,130 --> 00:25:08,450
1123
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ูุชุฑุถูŠ
1124
+
1125
+ 282
1126
+ 00:25:08,450 --> 00:25:11,090
1127
+ ู‡ูŠูƒ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value
1128
+
1129
+ 283
1130
+ 00:25:11,090 --> 00:25:15,750
1131
+ ูุชุฑุถูŠ ู‡ูŠูƒ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P
1132
+
1133
+ 284
1134
+ 00:25:15,750 --> 00:25:15,750
1135
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value
1136
+
1137
+ 285
1138
+ 00:25:15,750 --> 00:25:16,370
1139
+ ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ
1140
+
1141
+ 286
1142
+ 00:25:16,370 --> 00:25:17,950
1143
+ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง
1144
+
1145
+ 287
1146
+ 00:25:17,950 --> 00:25:21,650
1147
+ ุงุนุทูŠุชูƒ ุงู„ P value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ ูŠุนู†ูŠ ุงุฐุง ุงุนุทูŠุชูƒ ุงู„ P
1148
+
1149
+ 288
1150
+ 00:25:21,650 --> 00:25:25,490
1151
+ value ู…ูˆุฌูˆุฏุฉ ู…ุนุงูƒ
1152
+
1153
+ 289
1154
+ 00:25:27,390 --> 00:25:31,950
1155
+ ุงู„ู€ exact answer 05666 ุฃู†ุง ุญูƒูŠุชุด ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡
1156
+
1157
+ 290
1158
+ 00:25:31,950 --> 00:25:36,050
1159
+ ู…ุธุจูˆุทุŸ ู‡ูŠ ุฃูƒุจุฑ ู…ู†ู‡ุง ูˆ ุฃู‚ู„ ู…ู† ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ุทู„ุนุช ุงู„ู€
1160
+
1161
+ 291
1162
+ 00:25:36,050 --> 00:25:39,550
1163
+ exact ุดูุช ุณุงูˆูŠุŸ
1164
+
1165
+ 292
1166
+ 00:25:39,550 --> 00:25:47,630
1167
+ 05666 ู†ุฑุฌุน ุชุงู†ูŠ ู„ู„ุณุคุงู„ ู‡ูˆ ุจูŠุณุฃู„ ู‚ุฏุงุด ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„
1168
+
1169
+ 293
1170
+ 00:25:47,630 --> 00:25:53,290
1171
+ Alpha ุนุดุงู† ุณูŠู„ูˆูŠ ูŠ reject ุฅุฐุง ู„ูˆ ุฃู†ุง ู‡ุงุฏู‰ ุฃุตุบุฑ ู…ู†
1172
+
1173
+ 294
1174
+ 00:25:53,290 --> 00:25:59,570
1175
+ ู…ูŠู†ุŸ ุฎุฏูŠ Alphaู„ูˆ ูƒุงู†ุช ุจ1% ู…ุด ู‡ูŠู†ูุน ู…ุธุจูˆุท ูˆู„ุง 2%
1176
+
1177
+ 295
1178
+ 00:25:59,570 --> 00:26:06,350
1179
+ ูˆู„ุง 3% ูˆู„ุง 5% ุนู† 6% ู‡ูŠ ุฃู‚ู„ ู…ุธุจูˆุท ุจุงู„ุชุงู„ูŠ ุฃุตุบุฑ ู‚ูŠู…ุฉ
1180
+
1181
+ 296
1182
+ 00:26:06,350 --> 00:26:09,410
1183
+ ุงู„ alpha ุณูˆุงุก 6% ู„ุญุธุฉ ู„ู…ุง ุจุฏุช ุฃุญู„ ุจุฏุช ุฃุญู„ ุนู„ู‰ 8%
1184
+
1185
+ 297
1186
+ 00:26:09,410 --> 00:26:13,530
1187
+ ู„ุฃู†ู‡ ุฃู‚ู„ ู…ู† 1 ู…ู† 10 ุงู†ุช ุงุนุชุจุฑ ููŠ ุงู…ุชุญุงู† ุงู†ุง ุจูŠุนุทูŠูƒ
1188
+
1189
+ 298
1190
+ 00:26:13,530 --> 00:26:17,550
1191
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุญูƒูŠุชู„ูƒ ุงูŠุด ุฃุตุบุฑ ู‚ูŠู…ุฉ ุงู„ alpha ุงู„ cell
1192
+
1193
+ 299
1194
+ 00:26:17,550 --> 00:26:20,570
1195
+ we can choose ุงู„ cell we reject ุงูˆ ู„ุง ู„ุง ูŠุจู‚ู‰
1196
+
1197
+ 300
1198
+ 00:26:20,570 --> 00:26:20,770
1199
+ ุจุงุณู…ู‡ุง
1200
+
1201
+ 301
1202
+ 00:26:26,420 --> 00:26:31,400
1203
+ ู‡ุฐู‡ ุจูŠ value ูˆ ู„ุง ุจุชุญูƒูŠ ุนู† ุงู„ู„ูŠ ู‡ู†ุง ู‡ุฐู‡ ู…ุงุจุทู„ู‚ุด
1204
+
1205
+ 302
1206
+ 00:26:31,400 --> 00:26:34,540
1207
+ exact answer ุงู„ table ู…ุงุจุนุทูŠุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนู„ูŠุฉ ุจูŠุนุทูŠ
1208
+
1209
+ 303
1210
+ 00:26:34,540 --> 00:26:37,920
1211
+ ุจูŠู† ุฎู…ุชูŠู† ู‡ูŠ ุจูŠู† ุฎู…ุชูŠู†ุŒ ุจูŠู† zero ูˆ ุฎู…ุณุฉ ูˆ two ุงู„
1212
+
1213
+ 304
1214
+ 00:26:37,920 --> 00:26:43,640
1215
+ exact answer ู‡ูŠ ุงู„ answer suppose ุจูŠ values given
1216
+
1217
+ 305
1218
+ 00:26:43,640 --> 00:26:47,880
1219
+ ูˆ ุจุฏู‰ ุฃุฌุงุจุฉ ุนู„ู‰ ุงู„ุณุคุงู„ ุจุทู„ุน ุฃุตุบุฑ ู‚ูŠู…ุฉ ุฃู„ุง ูุชูƒูˆู†
1220
+
1221
+ 306
1222
+ 00:26:47,880 --> 00:26:53,800
1223
+ ู‚ุฏุงุดุฑ ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡ ู…ุธุจูˆุท ู…ุด ุนุงุฌุจุงูƒูŠ ู‡ุฐู‡ ุฎุฏูŠู‡ุง zero,
1224
+
1225
+ 307
1226
+ 00:26:54,020 --> 00:27:00,360
1227
+ ุฎู…ุณุฉ, ุณุชุฉ, ุณุจุนุฉู…ุธุจูˆุทุŸ ุฃูŠ ุญุงุฌุฉ ูˆุงุถุญ ุฃู† ู‡ุฐุง ุฃุตุบุฑ
1228
+
1229
+ 308
1230
+ 00:27:00,360 --> 00:27:06,560
1231
+ ู…ู†ู‡ุงุŒ ู„ุฐุงู„ ุณูŠู„ ุจูŠ reject ุทูŠุจ ุงู„ุจุนุฏ
1232
+
1233
+ 309
1234
+ 00:27:06,560 --> 00:27:10,420
1235
+ ุนูƒุณู‡ the highest level of significance at which
1236
+
1237
+ 310
1238
+ 00:27:10,420 --> 00:27:14,360
1239
+ the null cannot be rejected ุฃู†ู‡ ู…ูุฑูˆุถู‡ุงุดุŒ ุฃู†ุง
1240
+
1241
+ 311
1242
+ 00:27:14,360 --> 00:27:19,920
1243
+ ู…ูุฑูˆุถุด ู‡ุฐู‡ ุฅุฐุง ูƒุงู†ุช ุจ value ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูƒุจุฑ ู…ู†
1244
+
1245
+ 312
1246
+ 00:27:19,920 --> 00:27:24,740
1247
+ ู…ูŠู†ุŸ ุฎู…ุณุฉ
1248
+
1249
+ 313
1250
+ 00:27:24,740 --> 00:27:28,230
1251
+ ู…ู† ู…ูŠู†ุŸ ู…ุธุจูˆุทุŸู„ูˆ ุฃุฎุฏุช Alpha ููŠ 5%ุŒ ูุชูƒูˆู† ู‡ุฐุง
1252
+
1253
+ 314
1254
+ 00:27:28,230 --> 00:27:31,790
1255
+ ุงู„ู€highest ุทุจุนุงู‹ ุทุจุนุงู‹ ู…ู…ูƒู† ุชูƒูˆู† 4%ุŒ ู…ู…ูƒู† 3%ุŒ ู„ูƒู†
1256
+
1257
+ 315
1258
+ 00:27:31,790 --> 00:27:37,290
1259
+ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุฅูŠุดุŸ ูŠุนู†ูŠ ุฃู†ุง ู‡ูŠ ุงู„ู€line ุงู„ู€P value ู‡ูŠู‡ุง
1260
+
1261
+ 316
1262
+ 00:27:37,290 --> 00:27:42,170
1263
+ We don't reject ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ุชุญุช ุงู„ู€P value
1264
+
1265
+ 317
1266
+ 00:27:42,170 --> 00:27:46,830
1267
+ ู…ุงู„ู‡ุง ุฃูƒุจุฑ ู…ู† ุงู„ู€Alpha ุงู„ู€Alpha ู‡ุชูƒูˆู† ุฃูŠู† ู…ูˆุฌูˆุฏุฉุŸ
1268
+
1269
+ 318
1270
+ 00:27:46,830 --> 00:27:51,430
1271
+ ู‡ู†ุงุŒ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŸ ุฃู‡ ุฃู‡ ู…ุตุฏูˆู…ุŸ ุจุชู„ู‚ู‰ ุฃูŠ
1272
+
1273
+ 319
1274
+ 00:27:51,430 --> 00:27:57,020
1275
+ ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู† ู‡ุฐุง ุจุดูˆูŠุฉ ุฎุฏูŠู‡ุง 0.5ุฃูˆ ู…ุง ุดุงุก ุงู„ู„ู‡
1276
+
1277
+ 320
1278
+ 00:27:57,020 --> 00:28:00,600
1279
+ ุงุญู†ุง ู…ุด ู‡ู†ุงุฎุฏ ุนู„ุงู…ุงุช ุนุดุฑูŠุฉ ุฎู„ุงุต ุฅู…ุง 05 ุฃูˆ 06 ุฃูˆ ู…ุง
1280
+
1281
+ 321
1282
+ 00:28:00,600 --> 00:28:03,800
1283
+ ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชู‚ู„ ู„ุดุฑุทุฉ ุงู„ุนุดุฑุฉ
1284
+
1285
+ 322
1286
+ 00:28:12,880 --> 00:28:14,100
1287
+ ุงู„ุณุงุนุฉ ุงุชู†ูŠู† ูˆ ุชู…ุงู†ูŠู†
1288
+
1289
+ 323
1290
+ 00:28:45,340 --> 00:28:57,620
1291
+ ุจุงู„ู†ุณุจุฉ ู„ู„ูˆุธูŠูุฉุŒ ุจุงู„ู†ุณุจุฉ
1292
+
1293
+ 324
1294
+ 00:28:57,620 --> 00:29:04,130
1295
+ ู„ู„ูˆุธูŠูุฉุงู„ุณูŠู†ุงุฑูŠูˆ ุนุดุฑ ูˆ ุฃุญุฏุงุดุฑ ุฎู„ู†ุง ู†ู‚ุฑุฃ ููŠ ุงู„ุฃูˆู„
1296
+
1297
+ 325
1298
+ 00:29:04,130 --> 00:29:17,430
1299
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ู…ุฏูŠุฑ
1300
+
1301
+ 326
1302
+ 00:29:17,430 --> 00:29:25,020
1303
+ ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู†ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ู„ูŠ
1304
+
1305
+ 327
1306
+ 00:29:25,020 --> 00:29:31,080
1307
+ ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ููŠ ุงู„ูŠูˆู… ุงู„ุงุฌุชู…ุงุนูŠ ุนู„ูŠู†ุง
1308
+
1309
+ 328
1310
+ 00:29:31,080 --> 00:29:36,200
1311
+ ุฃุฌุงุจุฉ ู‡ูŠ ู…ุงู„ุนุฒุจ ุฃู‚ุฑุฃ ุงู„ุณุคุงู„ ูˆู„ุงุŸ ูˆ ู…ู† ุบูŠุฑ ุฃู‚ุฑุฃ
1312
+
1313
+ 329
1314
+ 00:29:36,200 --> 00:29:40,600
1315
+ ุงู„ุณุคุงู„ ู…ุด ุนุงุฑู ุฃุญู„ู‡ he
1316
+
1317
+ 330
1318
+ 00:29:40,600 --> 00:29:44,100
1319
+ is particularly interested in seeing if there is a
1320
+
1321
+ 331
1322
+ 00:29:44,100 --> 00:29:46,920
1323
+ difference in this proportion for accounting and
1324
+
1325
+ 332
1326
+ 00:29:46,920 --> 00:29:50,500
1327
+ economics majors ููŠู‡ two majors economics
1328
+
1329
+ 333
1330
+ 00:29:58,820 --> 00:30:02,740
1331
+ accounting in a random sum of hundred of each ุฃุฎุฏ
1332
+
1333
+ 334
1334
+ 00:30:02,740 --> 00:30:10,800
1335
+ ู…ูŠุฉ ู…ู† ุงู„ูƒู„ ูˆูƒู„ ูˆุงุญุฏ he
1336
+
1337
+ 335
1338
+ 00:30:10,800 --> 00:30:20,300
1339
+ found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and 52
1340
+
1341
+ 336
1342
+ 00:30:20,300 --> 00:30:30,310
1343
+ ู…ู† ุงู„ economic majorsู‡ุฐู‡ ุงู„ู€ access ู‡ุฐู‡
1344
+
1345
+ 337
1346
+ 00:30:30,310 --> 00:30:34,490
1347
+ job offers ู‡ุฐูˆ ุงู„ู„ูŠ ู„ุฌูˆุง ุดุบู„ if the accounting
1348
+
1349
+ 338
1350
+ 00:30:34,490 --> 00:30:37,910
1351
+ majors are designed as group one ุงู„ accounting
1352
+
1353
+ 339
1354
+ 00:30:37,910 --> 00:30:43,650
1355
+ ู‡ุฐูˆู„ู‡ group one ุฏุฎู„ู†ุง ุจุณ ู†ุนู…ู„ switching ูˆ ู‡ุฐูˆู„ู‡
1356
+
1357
+ 340
1358
+ 00:30:43,650 --> 00:30:44,050
1359
+ group two
1360
+
1361
+ 341
1362
+ 00:30:51,890 --> 00:30:55,030
1363
+ perform the appropriate hypothesis testing using
1364
+
1365
+ 342
1366
+ 00:30:55,030 --> 00:31:01,610
1367
+ level of significance alpha five percent ุงู„ุณุคุงู„
1368
+
1369
+ 343
1370
+ 00:31:01,610 --> 00:31:07,130
1371
+ ุงู„ุฃูˆู„ the hypothesis the dean should be used use R
1372
+
1373
+ 344
1374
+ 00:31:07,130 --> 00:31:10,650
1375
+ ู‡ูˆ
1376
+
1377
+ 345
1378
+ 00:31:10,650 --> 00:31:16,900
1379
+ ุงูŠุด ุญูƒู‰ ุงู„ุณุคุงู„ุŸ ุญูƒู‰ difference ูˆ ุฎู„ุงุตู…ุน ูƒุฏู‡ two
1380
+
1381
+ 346
1382
+ 00:31:16,900 --> 00:31:20,800
1383
+ -tailed ูˆุงุถุญ a is not the correct answer ููŠู‡ equal
1384
+
1385
+ 347
1386
+ 00:31:20,800 --> 00:31:30,200
1387
+ sign ุจูŠู‡ is the correct answer 82 ุงู„ุงู† ุจูŠุญูƒูŠ the
1388
+
1389
+ 348
1390
+ 00:31:30,200 --> 00:31:33,780
1391
+ null hypothesis will be rejected if the test
1392
+
1393
+ 349
1394
+ 00:31:33,780 --> 00:31:39,020
1395
+ statistic is .. ุจูŠุญูƒูŠ ุงู„ null will be rejected ุฅุฐุง
1396
+
1397
+ 350
1398
+ 00:31:39,020 --> 00:31:43,880
1399
+ ูƒุงู† ุงู„ test ูƒุฐุงุŒ ูุชุญุณุจ ุงู„ z ูŠุนู†ูŠ ู…ู…ูƒู† ุชุญุณุจ ุงู„ z
1400
+
1401
+ 351
1402
+ 00:31:43,880 --> 00:31:44,240
1403
+ instead
1404
+
1405
+ 352
1406
+ 00:31:48,310 --> 00:31:53,290
1407
+ ู…ุงุดูŠ ุงู†ุง ุจุญูƒูŠ the null will be rejected if the
1408
+
1409
+ 353
1410
+ 00:31:53,290 --> 00:31:59,170
1411
+ this statistic is .. ุทูŠุจ ุงุฐุง ุฎู„ุงุต ุงุฐุง ุงู†ุง ุจุฏูŠ ุญู„ู‡ุง
1412
+
1413
+ 354
1414
+ 00:31:59,170 --> 00:32:04,670
1415
+ ุงู†ุง ุจุญูƒูŠ ุงุฐุง ูƒุงู†ุช this statistic ู…ุงู„ู‡ุง ุงูƒุจุฑ ุงูˆ
1416
+
1417
+ 355
1418
+ 00:32:04,670 --> 00:32:08,010
1419
+ ุฃุนุธู… ู…ู† ุงู„ critical value ู„ูƒู† ู‡ู„ ู‡ูˆ ุนุงูŠุฒ ู‚ูŠู…ุฉ this
1420
+
1421
+ 356
1422
+ 00:32:08,010 --> 00:32:13,090
1423
+ statistic ุทุจุนุง ู„ุฃ if is greater than ุฌูˆุงุจ ู‡ูŠูƒ ุงุฐุง
1424
+
1425
+ 357
1426
+ 00:32:13,090 --> 00:32:14,310
1427
+ ูƒุงู†ุช this statistic is
1428
+
1429
+ 358
1430
+ 00:32:17,320 --> 00:32:26,580
1431
+ Z greater than Z alpha over 2 ุงูˆ Z
1432
+
1433
+ 359
1434
+ 00:32:26,580 --> 00:32:29,360
1435
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1436
+
1437
+ 360
1438
+ 00:32:29,360 --> 00:32:30,640
1439
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1440
+
1441
+ 361
1442
+ 00:32:30,640 --> 00:32:30,680
1443
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1444
+
1445
+ 362
1446
+ 00:32:30,680 --> 00:32:30,820
1447
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1448
+
1449
+ 363
1450
+ 00:32:30,820 --> 00:32:31,900
1451
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1452
+
1453
+ 364
1454
+ 00:32:31,900 --> 00:32:36,640
1455
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1456
+
1457
+ 365
1458
+ 00:32:36,640 --> 00:32:38,640
1459
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z
1460
+
1461
+ 366
1462
+ 00:32:38,640 --> 00:32:45,240
1463
+ ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ ุงูˆ Z ุซุงู†ูˆูŠุฉ
1464
+
1465
+ 367
1466
+ 00:32:46,580 --> 00:32:49,920
1467
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ Z-stat ูุงู„ูˆุณุท ุฃูˆ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŒ
1468
+
1469
+ 368
1470
+ 00:32:49,920 --> 00:32:52,520
1471
+ ูู†ู†ู‚ู„ู‡ุง ู…ู† ุงู„hypothesis ู‡ุฐุง ุงู„ู€ answer ุจุชุงุน ุงูŠุชูˆุŒ
1472
+
1473
+ 369
1474
+ 00:32:52,520 --> 00:32:57,580
1475
+ ูˆุงุถุญุŸ ุงูŠุชูˆ ุซู„ุงุซุฉุŒ ุงู„ู€ value of the test statisticุŒ
1476
+
1477
+ 370
1478
+ 00:32:57,580 --> 00:33:04,140
1479
+ ูŠุนู†ูŠ ุทู„ุจ ุงู„ู€ value ุจุญุณุจู‡ุง ุจุณ ุนุดุงู† ุฃุญุณุจู‡ุงุŒ ููŠ ุนู†ุฏู‰
1480
+
1481
+ 371
1482
+ 00:33:04,140 --> 00:33:09,560
1483
+ ุฃูƒุชุฑ ุฎุทุจุฉ ู„ุงุฒู… ุฃุนู…ู„ู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„ู‚ุงู†ูˆู† ู‡ูŠ B1 minus
1484
+
1485
+ 372
1486
+ 00:33:09,560 --> 00:33:21,960
1487
+ B2 minus B1 minus B2divide by P' ุทุจุนุง
1488
+
1489
+ 373
1490
+ 00:33:21,960 --> 00:33:30,700
1491
+ ุงู„ hypothesis ุจู‚ูˆู„ ุงู† P1 equals P2 ูˆุงู„ุชุงู†ูŠ P1 does
1492
+
1493
+ 374
1494
+ 00:33:30,700 --> 00:33:39,220
1495
+ not equal P2 ุทุจุนุง ุงู„ P1 ุจุทู„ุญู‡ุง P1
1496
+
1497
+ 375
1498
+ 00:33:39,220 --> 00:33:42,840
1499
+ X1 ุนู„ู‰ N1 ุงู„ู„ูŠ ู‡ูŠ 65
1500
+
1501
+ 376
1502
+ 00:33:47,380 --> 00:33:53,480
1503
+ ูˆุจุทู„ุน ุงู„ B2 ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ X2 ูˆY2 ุฎู…ุณุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1504
+
1505
+ 377
1506
+ 00:33:53,480 --> 00:33:57,580
1507
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1508
+
1509
+ 378
1510
+ 00:33:57,580 --> 00:33:58,320
1511
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1512
+
1513
+ 379
1514
+ 00:33:58,320 --> 00:33:58,320
1515
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1516
+
1517
+ 380
1518
+ 00:33:58,320 --> 00:33:58,480
1519
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1520
+
1521
+ 381
1522
+ 00:33:58,480 --> 00:34:01,300
1523
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1524
+
1525
+ 382
1526
+ 00:34:01,300 --> 00:34:01,960
1527
+ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ ูˆุงุซู‚ุฉ
1528
+
1529
+ 383
1530
+ 00:34:01,960 --> 00:34:14,220
1531
+ ูˆุงุซ
1532
+
1533
+ 384
1534
+ 00:34:15,610 --> 00:34:21,050
1535
+ ุจูŠู†ูุน ู„ุฃู† ุงู„ุงุชู†ูŠู† ุฒูŠ ุจุนุถ ุงู„ู€ sample size ุนู„ู‰ ุงู„ู€
1536
+
1537
+ 385
1538
+ 00:34:21,050 --> 00:34:27,750
1539
+ N1 ุฒูŠ ุงู„ู€ N2 ุนู„ู‰ ุงู„ู…ุญุชุฌุฉุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ู‡ุฐุง ุฃู‚ุจุฑ ุนู„ู‰
1540
+
1541
+ 386
1542
+ 00:34:27,750 --> 00:34:35,850
1543
+ point .. one point ุฌุณู…ูŠ
1544
+
1545
+ 387
1546
+ 00:34:35,850 --> 00:34:36,190
1547
+ ู„ูŠู‡ู…
1548
+
1549
+ 388
1550
+ 00:34:49,170 --> 00:34:52,830
1551
+ ุงู„ุฌูˆุงุจ ุฃูƒูŠุฏ ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุชู‡ ุจุนุฏ ู…ุง ุชุนุจุช ู‡ูˆ
1552
+
1553
+ 389
1554
+ 00:34:52,830 --> 00:34:56,490
1555
+ ุนุจุงุฑุฉ ุนู† ุงู„ average ุงู„ุชู†ุชูŠู† ู‡ุฏูˆู„ ุงู„ู„ูŠ ู‡ู… ุงู„ุชุงู†ูŠ
1556
+
1557
+ 390
1558
+ 00:34:56,490 --> 00:34:56,830
1559
+ ุงู„ู„ูŠ ู‡ู†ุง
1560
+
1561
+ 391
1562
+ 00:35:02,590 --> 00:35:07,090
1563
+ ุฎู„ุงุตุŸ ุฅุฐุง ุจู‚ุฏุฑ ุงู„ู€ B' ููŠ ุญุงู„ู‡ุง ุฏูŠ ุนุจุงุฑุฉ ุนู† B1 plus
1564
+
1565
+ 392
1566
+ 00:35:07,090 --> 00:35:11,410
1567
+ B2 ุงุชู†ูŠู†ุŒ ุจูŠู†ูุน ุงู„ุณุจุจ ุฃู† ุงู„ู€ sample sizes are the
1568
+
1569
+ 393
1570
+ 00:35:11,410 --> 00:35:16,290
1571
+ same ุทุจ ู…ู…ูƒู† ู‡ู†ุณุจุชู‡ุง ุฑูŠุงุถูŠุงุŒ ู‡ู†ุณุจุชู‡ุง ุณู‡ู„ ุนู„ู‰
1572
+
1573
+ 394
1574
+ 00:35:16,290 --> 00:35:19,890
1575
+ ุงู„ุนู…ูˆู…ุŒ ู‡ุงูŠ ุงู„ู€ B' ุนูŠุด ูƒู„ ุงุญุชุฌุงู… ุงู„ู„ูŠ ู‡ุชุนูˆุฏ ู‡ู†ุง ูˆ
1576
+
1577
+ 395
1578
+ 00:35:19,890 --> 00:35:25,990
1579
+ ุชุทู„ุน ู‚ูŠู…ุฉ ุงู„ู€ ZุŒ ุฎู„ุงุตุŸ ูŠุนู†ูŠ ุงู„ู€ B1 ู‡ูŠ ู…ูˆุฌูˆุฏุฉุŒ ู†ู‚ุต
1580
+
1581
+ 396
1582
+ 00:35:25,990 --> 00:35:30,690
1583
+ B2 ูˆ ู‡ุงูŠ ุงู„ู€ B'ุจุชุนูˆุถูŠ ุจุทู„ุงู‚ ุงู„ Z-stat ุงูŠุด ุทู„ุน
1584
+
1585
+ 397
1586
+ 00:35:30,690 --> 00:35:36,030
1587
+ ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ ูŠุนู†ูŠ ุงุดุชุบู„ุช ุนู„ูŠู‡ุง ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1588
+
1589
+ 398
1590
+ 00:35:36,030 --> 00:35:41,870
1591
+ ุจุทู„ุน ุงู„ Z-stat one
1592
+
1593
+ 399
1594
+ 00:35:41,870 --> 00:35:49,230
1595
+ point eight six five ู‡ุฐุง ุงู„ value ู„ู„ Z-stat ููŠ
1596
+
1597
+ 400
1598
+ 00:35:49,230 --> 00:35:54,750
1599
+ ู…ุซุงู„ ุฒูŠูƒูŠ ููŠ ุงู„ุงู…ุชุญุงู† ุงู†ุง ู…ุคูƒุฏ ู‡ุนุทูŠูƒ ููŠ ุญุณุงุจุงุช
1600
+
1601
+ 401
1602
+ 00:35:54,750 --> 00:36:00,220
1603
+ ุทูˆูŠู„ุฉ ุฒูŠ ูƒุฏู‡ ู‡ุนุทูŠูƒ ุงู„ Z-statู„ูˆ ูƒุงู†ุช ุทูˆูŠู„ุฉ ู„ูƒู† ููŠ
1604
+
1605
+ 402
1606
+ 00:36:00,220 --> 00:36:02,680
1607
+ ุณุคุงู„ ุจู‚ู‰ ุทู„ุจ ุงู„ B value ุจุฃุนุทูŠูƒูŠุด ุงู„ B value ุงู„ B
1608
+
1609
+ 403
1610
+ 00:36:02,680 --> 00:36:11,060
1611
+ value ุณู‡ู„ุฉ ุงู„ B value ูƒุฏู‡ ุจุทู„ุญู‡ุง ุทุงู„ู…ุง ุชุฑุชุฒ ูŠู…ูŠู† ูˆ
1612
+
1613
+ 404
1614
+ 00:36:11,060 --> 00:36:17,880
1615
+ ุดู…ุงู„ ูˆุงุญุฏุฉ ูˆ ุฃุถุฑู ุงุชู†ูŠู† ุงุฐุง ุงุชู†ูŠู†
1616
+
1617
+ 405
1618
+ 00:36:17,880 --> 00:36:22,620
1619
+ less than minus one less ุฃุณุงุณ ู…ุจุงุดุฑ ู…ู† ุงู„ table
1620
+
1621
+ 406
1622
+ 00:36:22,620 --> 00:36:27,940
1623
+ ู„ูƒู† ููŠ ุงู„ุงู…ุชุญุงู†ุฉ ู‡ุนุทูŠูƒ ุงู„ positive ุจุณุฎู„ุงุต ูุจุชุญุทูŠูƒูŠ
1624
+
1625
+ 407
1626
+ 00:36:27,940 --> 00:36:33,480
1627
+ ุงู„ู„ูŠ ุน ุงู„ูŠู…ูŠู† ูุจุชุงุฎุฑูŠูƒูŠ ุงู„ู„ูŠ ุฃูƒุจุฑ ูุฎู„ุงุต ููŠู‡ุง ุฏูŠ
1628
+
1629
+ 408
1630
+ 00:36:33,480 --> 00:36:45,480
1631
+ ุจุชุณุงูˆู‰ ุงุชู†ูŠู† ูˆุงุญุฏ ู†ู‚ุต one
1632
+
1633
+ 409
1634
+ 00:36:45,480 --> 00:36:47,880
1635
+ point eight six five ุทุจุนุง ุงู„ูƒุชุงุจ ู…ุด ู‡ูŠุนุทูŠูƒ eight
1636
+
1637
+ 410
1638
+ 00:36:47,880 --> 00:36:54,740
1639
+ six five ู…ุธุจูˆุท ุงุนู…ู„ูŠู‡ุง ุณุจุนุฉ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ู‡ุชุทู„ุนูŠ
1640
+
1641
+ 411
1642
+ 00:36:54,740 --> 00:37:05,650
1643
+ ุฌุงูŠุจ approximate resultุงู„ุฌูˆุงุจ ุจุงู„ุชู‚ุฑูŠุจ ุฅุฐุง
1644
+
1645
+ 412
1646
+ 00:37:05,650 --> 00:37:14,130
1647
+ ุฑุญ ุฃุฏูˆุฑ ุนู„ู‰ one point eight seven ู‡ุงูŠ eight ุซู„ุงุซ
1648
+
1649
+ 413
1650
+ 00:37:14,130 --> 00:37:21,390
1651
+ ุณุจุนุฉ ุฅูŠุด ุจุชุงุน ุงู„ุฌูˆุงุจ nine six nine three ุฅุฐุง one
1652
+
1653
+ 414
1654
+ 00:37:21,390 --> 00:37:22,330
1655
+ point eight seven
1656
+
1657
+ 415
1658
+ 00:37:32,390 --> 00:37:37,810
1659
+ 9693 9693 03
1660
+
1661
+ 416
1662
+ 00:37:37,810 --> 00:37:42,250
1663
+ 07 03
1664
+
1665
+ 417
1666
+ 00:37:42,250 --> 00:37:49,790
1667
+ 07 ู„ูˆ ุถุฑุจุชูŠู‡ู… ุจูŠุทู„ุน ุงู„ุฌูˆุงุจ ุชู‚ุฑูŠุจุง 0614 ู„ุฐุง ุงู„ B
1668
+
1669
+ 418
1670
+ 00:37:49,790 --> 00:37:55,610
1671
+ value 0614 ุงุฐุง ู…ุงุงู†ุณุงุด ุงุถุฑุจ ููŠ ุงุชู†ูŠู† ู„ุงู† ุนู†ุฏู‰
1672
+
1673
+ 419
1674
+ 00:37:55,610 --> 00:38:01,310
1675
+ total testุงู„ูŠู…ูŠู† ูˆ ุงู„ุดู…ุงู„ ุฒูŠ ุจุนุถ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนุช ุงู„
1676
+
1677
+ 420
1678
+ 00:38:01,310 --> 00:38:04,770
1679
+ lefts
1680
+
1681
+ 421
1682
+ 00:38:04,770 --> 00:38:09,330
1683
+ ุงู„ู„ูŠ ู‡ูˆ negative one point eight seven ู‡ูŠ negative
1684
+
1685
+ 422
1686
+ 00:38:09,330 --> 00:38:16,990
1687
+ one eight ู„ุบุงูŠุฉ ุงู„ุณุจุนุฉ three zero zero three zero
1688
+
1689
+ 423
1690
+ 00:38:16,990 --> 00:38:22,930
1691
+ seven ู‡ูŠ negative eight ุชุญุช ุงู„ุณุจุนุฉ zero three ู†ูุณ
1692
+
1693
+ 424
1694
+ 00:38:22,930 --> 00:38:26,790
1695
+ ุงู„ุฌูˆุง ู…ุด ู‡ูŠูƒ ูˆ ุถุฑุจูŠู‡ุง ููŠ ุงุชู†ูŠู† ุจุทู„ุน zero six one
1696
+
1697
+ 425
1698
+ 00:38:26,790 --> 00:38:27,090
1699
+ four
1700
+
1701
+ 426
1702
+ 00:38:35,600 --> 00:38:46,020
1703
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู€ P value ุงู„ุฎู…ุณุฉ
1704
+
1705
+ 427
1706
+ 00:38:46,020 --> 00:38:49,400
1707
+ ูˆุชู…ุงู†ูŠู† ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ูŠุฌุจ ุฃู† ูŠุชูู‚ู‚ ุงู„ู€ Hypothesis
1708
+
1709
+ 428
1710
+ 00:38:49,400 --> 00:38:53,000
1711
+ ุงู„ูˆุงุถุญ
1712
+
1713
+ 429
1714
+ 00:38:53,000 --> 00:38:57,960
1715
+ ุฃู† ุงู„ู€ P value ู‡ูˆ 0.6 ุฃูƒุจุฑ ุฅุฐุง ู„ู… ู†ุชูู‚ู‚ู‡ุŒ ูู‡ูˆ ุฎุงุทุฆ
1716
+
1717
+ 430
1718
+ 00:39:01,980 --> 00:39:08,900
1719
+ ุงู„ุณุคุงู„ ุงู„ุจุนุฏู‡ 86 ุจูŠุญูƒูŠ the same decision would be
1720
+
1721
+ 431
1722
+ 00:39:08,900 --> 00:39:12,720
1723
+ made with this test if the level of significance
1724
+
1725
+ 432
1726
+ 00:39:12,720 --> 00:39:21,000
1727
+ had been 01 ุฃุฎุฏ ุฃู„ู ูˆ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุฅุฐุง ุงุญู†ุง
1728
+
1729
+ 433
1730
+ 00:39:21,000 --> 00:39:25,540
1731
+ reject ุนู†ุฏ ุฎู…ุณุฉุฃูƒูŠุฏ ุนู†ุฏ ูˆุงุญุฏุฉ ุงู„ู…ูŠุฉ if we don't
1732
+
1733
+ 434
1734
+ 00:39:25,540 --> 00:39:29,420
1735
+ reject ุนู†ุฏ ุฎู…ุณุฉ always if we don't reject at alpha
1736
+
1737
+ 435
1738
+ 00:39:29,420 --> 00:39:32,680
1739
+ equal five percent still we don't reject ุนู†ุฏ ุฃูŠ
1740
+
1741
+ 436
1742
+ 00:39:32,680 --> 00:39:36,640
1743
+ level ุฃู‚ู„ ู…ู† ุงู„ุฎู…ุณุฉุŒ ุฃุตู„ุง ู„ุฃู†ูƒ ุชูƒูˆู† ุนู†ุฏ ุณุชุฉ ููŠ
1744
+
1745
+ 437
1746
+ 00:39:36,640 --> 00:39:41,600
1747
+ ุงู„ู…ูŠุฉ ูˆุงู„ alpha ุจุฎู…ุณุฉ ูƒุฏู‡ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ูˆ ุงู„ุฃูƒุจุฑ ู…ู†
1748
+
1749
+ 438
1750
+ 00:39:41,600 --> 00:39:42,740
1751
+ ุฎู…ุณุฉ ูƒุฏู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
1752
+
1753
+ 439
1754
+ 00:39:45,520 --> 00:39:49,840
1755
+ ุงุฐุง the same decision, they are not rejected ุทุจุนุง
1756
+
1757
+ 440
1758
+ 00:39:49,840 --> 00:39:55,320
1759
+ ู…ุด rejected, don't reject, ุงุฐุง false ูˆุงุถุญ ุฏุงูŠู…ุง if
1760
+
1761
+ 441
1762
+ 00:39:55,320 --> 00:39:58,620
1763
+ you don't reject at any level of significance then
1764
+
1765
+ 442
1766
+ 00:39:58,620 --> 00:40:01,640
1767
+ also you don't reject at any level greater than
1768
+
1769
+ 443
1770
+ 00:40:01,640 --> 00:40:07,520
1771
+ that level ู‡ุฐุง ุจุงู„ู†ุณุจุงู„ูŠ 86 ุฎู„ุงุตุŸ ูˆ ุจุชุนู…ู„ ุจู‚ู‰
1772
+
1773
+ 444
1774
+ 00:40:07,520 --> 00:40:08,540
1775
+ class ุฏู‡ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
1776
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/87bJotKuFBM.srt ADDED
@@ -0,0 +1,1438 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,110 --> 00:00:24,690
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…. ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ุจุฏุฃ
4
+
5
+ 2
6
+ 00:00:24,690 --> 00:00:31,890
7
+ ุจู‚ุตุฉ ุฌุฏูŠุฏุฉ. ุงู„ู‚ุตุฉ ุงู„ุณุงุฏุณุฉ ุชุชูƒู„ู… ุนู† ู…ูˆุถูˆุน ุฌุฏูŠุฏ.
8
+
9
+ 3
10
+ 00:00:33,210 --> 00:00:34,630
11
+ ุชุชูƒู„ู… ุนู† ู…ุฌู…ูˆุนุฉ ุงู„ุชุฌุงุฑุจ.
12
+
13
+ 4
14
+ 00:00:58,240 --> 00:01:05,180
15
+ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ ุงู„ุชูˆุฒูŠุนุงุช ุงู„ู…ุนูŠู†ุฉ in this chapter
16
+
17
+ 5
18
+ 00:01:05,180 --> 00:01:11,220
19
+ there are three objectives the first one talks
20
+
21
+ 6
22
+ 00:01:11,220 --> 00:01:16,220
23
+ about the concept of the sampling distribution what
24
+
25
+ 7
26
+ 00:01:16,220 --> 00:01:21,290
27
+ does sampling distribution mean ุงู„ุซุงู†ูŠ ู‡ูˆ ุชุฌุงุฑุจ
28
+
29
+ 8
30
+ 00:01:21,290 --> 00:01:26,190
31
+ ุงู„ูˆุงู‚ุนุงุช ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุนูŠู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ูˆู…ู‚ุงุฑู†ุฉ
32
+
33
+ 9
34
+ 00:01:26,190 --> 00:01:28,610
35
+ ุงู„ุนูŠู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ุŒ ู„ุฐู„ูƒ ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ูŠุญุชูˆูŠ ุนู„ู‰
36
+
37
+ 10
38
+ 00:01:28,610 --> 00:01:33,930
39
+ ุฌุฒุฆูŠู†ุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ุงู„ูˆุงู‚ุนุงุช ุงู„ู…ุฑุชุจุทุฉ
40
+
41
+ 11
42
+ 00:01:33,930 --> 00:01:39,870
43
+ ุจุงู„ุนูŠู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ุฃูˆ ู…ู‚ุงุฑู†ุฉ ุงู„ุนูŠู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉุŸ
44
+
45
+ 12
46
+ 00:01:39,870 --> 00:01:49,100
47
+ ุงู„ู‡ุฏู ุงู„ุซุงู„ุซ ุงู„ู‡ุฏู ุงู„ุซุงู„ุซ ูŠุชุญุฏุซ ุนู† ู†ุธุฑูŠุฉ
48
+
49
+ 13
50
+ 00:01:49,100 --> 00:01:53,480
51
+ ุงู„ุญุฏ ุงู„ู…ุฑูƒุฒูŠ ุงุณู…ู‡ุง ุงู„ู€ Central Limit Theorem ุณูˆู ู†ุชูƒู„ู…
52
+
53
+ 14
54
+ 00:01:53,480 --> 00:02:01,780
55
+ ุนู† ุงู„ู‡ุฏู ุงู„ุฃูˆู„ ูˆุดุฑุญ ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุจุฏุฃ
56
+
57
+ 15
58
+ 00:02:01,780 --> 00:02:07,860
59
+ ุจุงู„ู…ุซุงู„ ุงู„ู…ุฑุชุจุท ุงู„ุฃุณุงุณูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู„ุฏูŠูƒ
60
+
61
+ 16
62
+ 00:02:07,860 --> 00:02:12,600
63
+ ุทุงู„ุจ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุฎู…ุณูŠู† ุทุงู„ุจู‹ุง
64
+
65
+ 17
66
+ 00:02:20,010 --> 00:02:27,850
67
+ ูˆุฃู†ุง ู…ู‡ุชู… ุจุงู„ุฌุงู†ุจ ุงู„ูˆุญูŠุฏ ู…ู† ู‡ุฐู‡ ุงู„ุทู„ุงุจ ู†ุจุญุซ ุนู†
68
+
69
+ 18
70
+ 00:02:27,850 --> 00:02:39,270
71
+ ุฌุงู†ุจ ุฌุงู†ุจ ุฌุงู†ุจ ุฌุงู†ุจ ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ
72
+
73
+ 19
74
+ 00:02:44,850 --> 00:02:49,110
75
+ ุงุณู…ู‡ GPA graduate point average ู…ุน ุงู„ู…ุนุฏู„
76
+
77
+ 20
78
+ 00:02:49,110 --> 00:02:56,890
79
+ ุงู„ุชุฑุงูƒู…ูŠ ู„ู„ุทุงู„ุจ ุงู„ scale ุชุจุนู‡ ู†ู‚ุงุท ู…ุนูŠู†ุฉ and
80
+
81
+ 21
82
+ 00:02:56,890 --> 00:02:59,310
83
+ suppose we are interested in the mean GPA
84
+
85
+ 22
86
+ 00:03:08,390 --> 00:03:11,110
87
+ ุฅุฐุง ุญุตู„ุช ุนู„ู‰ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ุจุญุฌู… 50
88
+
89
+ 23
90
+ 00:03:11,110 --> 00:03:15,830
91
+ ุณุชู‚ูˆู… ุจ ุฃุฎุฐ ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ู…ุนูŠู†ุฉ ู„ูƒู„ ุนูŠู†ุฉ ู„ุฃู† ุงูุชุฑุถ
92
+
93
+ 24
94
+ 00:03:15,830 --> 00:03:21,870
95
+ ุฃุฎุฐ ุฎู…ุณูŠู† student
96
+
97
+ 25
98
+ 00:03:21,870 --> 00:03:28,370
99
+ number one maybe his or her score is 3.5 the
100
+
101
+ 26
102
+ 00:03:28,370 --> 00:03:32,930
103
+ second student maybe 4 the third maybe 2.6 and so
104
+
105
+ 27
106
+ 00:03:32,930 --> 00:03:39,540
107
+ on ุงูุชุฑุถ ุฃู† ุฃู†ุง ู„ุฏูŠ ู‡ุฐู‡ ุงู„ุนูŠู†ุงุช ุจุญุฌู… 50 ูˆู‡ุฐู‡ ู…ู‚ุงุฑู†ุฉ
108
+
109
+ 28
110
+ 00:03:39,540 --> 00:03:46,440
111
+ ูู‚ุท ูŠุนู†ูŠ ุฃุฎุฐ ุฏุฑุฌุฉ ุงู„ุทู„ุงุจ ู…ู† ุฃุฑุจุนุฉ ู„ุฎู…ุณูŠู† ุทุงู„ุจ ูˆุทู„ุน
112
+
113
+ 29
114
+ 00:03:46,440 --> 00:03:52,340
115
+ ุงู„ average ู„ู‡ู… ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง
116
+
117
+ 30
118
+ 00:03:52,340 --> 00:03:55,480
119
+ ูู…ุซู„ู‹ุง
120
+
121
+ 31
122
+ 00:03:55,480 --> 00:04:02,500
123
+ ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง
124
+
125
+ 32
126
+ 00:04:04,940 --> 00:04:07,740
127
+ ุฃุฎุฐุช ุนูŠู†ุฉ ุญุฌู…ู‡ุง 50 ุซุงู†ูŠู‹ุง ูƒู„ ูˆุงุญุฏ ู…ุด ู…ุนุฏู„ ูˆ
128
+
129
+ 33
130
+ 00:04:07,740 --> 00:04:13,040
131
+ ุฃุนุทุงู†ูŠู‡ุง ุทู„ุนุช ุงู„ average ุฃุฎุฐุช sample ุชุงู†ูŠุฉ ู‡ุฐู‡ ุงู„
132
+
133
+ 34
134
+ 00:04:13,040 --> 00:04:17,120
135
+ sample number one another
136
+
137
+ 35
138
+ 00:04:17,120 --> 00:04:24,300
139
+ sample of the same size ู…ู…ูƒู† ุงู„ุฃูˆู„ ูŠูƒูˆู† 2.6 ู…ู…ูƒู†
140
+
141
+ 36
142
+ 00:04:24,300 --> 00:04:30,560
143
+ ุงู„ุซุงู†ูŠ ูŠูƒูˆู† 3.6 ู…ู…ูƒู† 4 ู…ู…ูƒู† 2.9 and so on ุฃูƒูŠุฏ ู„ูˆ
144
+
145
+ 37
146
+ 00:04:30,560 --> 00:04:32,840
147
+ ุฃุฎุฐุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ average ู…ุด
148
+
149
+ 38
150
+ 00:04:32,840 --> 00:04:37,380
151
+ ู‡ูƒุฐุงุŸ ูŠุนู†ูŠ ู„ูˆ ุฃุฎุฐุช ุนูŠู†ุฉ ู…ู†ูƒู… ุจู€ size 20 ูˆุทู„ุน
152
+
153
+ 39
154
+ 00:04:37,380 --> 00:04:43,240
155
+ ู…ุนุฏู„ูƒู… ุทู„ุน 75 ู„ูˆ ุฃุฎุฐุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ุจู†ูุณ ุงู„ุญุฌู…
156
+
157
+ 40
158
+ 00:04:43,240 --> 00:04:48,960
159
+ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ูŠุนุทูŠ 75 ูู…ู…ูƒู† ูŠุนุทูŠ average ู…ุฎุชู„ู ูˆูŠู‚ูˆู„ 3
160
+
161
+ 41
162
+ 00:04:48,960 --> 00:05:00,880
163
+ .2 ู„ูˆ ุฃุฎุฐุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ูˆุซุงู„ุซุฉ ูˆุฃุฎุฐุช 100 ุนูŠู†ุฉ ุฃูƒูŠุฏ
164
+
165
+ 42
166
+ 00:05:00,880 --> 00:05:01,600
167
+ ู‡ุชุนุทูŠู†ูŠ
168
+
169
+ 43
170
+ 00:05:04,320 --> 00:05:08,640
171
+ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ู†ูุณ ุงู„ู€means ู‡ุฏูˆู„ ู…ู…ูƒู† ุชู‚ุน ููŠ 3.6 for
172
+
173
+ 44
174
+ 00:05:08,640 --> 00:05:12,500
175
+ example ูุฅุฐุง
176
+
177
+ 45
178
+ 00:05:12,500 --> 00:05:15,340
179
+ ุญุตู„ู†ุง ุนู„ู‰ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฎุชู„ูุฉ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ
180
+
181
+ 46
182
+ 00:05:15,340 --> 00:05:15,980
183
+ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ
184
+
185
+ 47
186
+ 00:05:15,980 --> 00:05:23,480
187
+ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ
188
+
189
+ 48
190
+ 00:05:23,480 --> 00:05:29,940
191
+ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„
192
+
193
+ 49
194
+ 00:05:29,940 --> 00:05:31,120
195
+ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ
196
+
197
+ 50
198
+ 00:05:34,550 --> 00:05:40,930
199
+ of the means ู…ู‡ุชู… ุจุชูˆุฒูŠุน ุงู„ู…ุชูˆุณุทุงุช ู‡ุฏูˆู„ ุงู„ู„ูŠ ู‡ู… 3
200
+
201
+ 51
202
+ 00:05:40,930 --> 00:05:47,590
203
+ .3 ูˆ3.2 ูˆ3.6 for example ุฅุฐุง ุฃู†ุง ุฃุฎุฐุช ู‡ุฏูˆู„ ุนุงูŠุฒ
204
+
205
+ 52
206
+ 00:05:47,590 --> 00:05:53,250
207
+ ุฃุนุฑู ุฅูŠุด ุงู„ distribution ุงู„ู„ูŠ ู„ู‡ู… ุงู„ููƒุฑุฉ ู‡ุฐู‡ ู‡ุฃุฎุฐู‡ุง
208
+
209
+ 53
210
+ 00:05:53,250 --> 00:05:58,850
211
+ ู…ุซู„ู‹ุง ุจุจุณูŠุท suppose we have a population of size 7
212
+
213
+ 54
214
+ 00:05:58,850 --> 00:06:03,610
215
+ of 4 population size just for example 4 people
216
+
217
+ 55
218
+ 00:06:06,300 --> 00:06:13,180
219
+ ุฃุฎุฐู†ุง n equals four. Suppose we are interested in
220
+
221
+ 56
222
+ 00:06:13,180 --> 00:06:19,780
223
+ the age of these four students. Now suppose the
224
+
225
+ 57
226
+ 00:06:19,780 --> 00:06:25,160
227
+ values of x are the age of the first one is 18,
228
+
229
+ 58
230
+ 00:06:25,860 --> 00:06:33,370
231
+ the second 20, then we have 22 and 24. ู…ุซู„ู‹ุงุŒ ู†ุญู†
232
+
233
+ 59
234
+ 00:06:33,370 --> 00:06:40,730
235
+ ู„ุฏูŠู†ุง ู…ุฌุชู…ุน ุญุฌู…ู‡ 4 ูˆู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ุนู…ุฑ ู„ู‡ุฐู‡ ุงู„ุตูุฑ 4
236
+
237
+ 60
238
+ 00:06:40,730 --> 00:06:45,670
239
+ ุฅุฐุง ุงุญู†ุง ู„ุฏูŠู†ุง ู…ุฌุชู…ุน ุญุฌู…ู‡ ุฃุฑุจุนุฉ ู…ู‡ุชู…ูˆู† ุจุงู„ุนู…ุฑ ูˆู‡ูŠ
240
+
241
+ 61
242
+ 00:06:45,670 --> 00:06:53,510
243
+ ุงู„ุนู…ุฑ ุชุจุนุชู†ุง 18ุŒ 20ุŒ 22ุŒ 24 ุณุฃุฎุฑุฌ ุงู„ู…ูŠู† ู„ู‡ู… ุงู„ู…ูŠู†
244
+
245
+ 62
246
+ 00:06:53,510 --> 00:06:58,630
247
+ ู„ุฌู…ู‡ูˆุฑ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฌู…ู‡ูˆุฑ ุงู„ู…ุฌุชู…ุน ุชุนุฑูŠู ุงู„ู…ูŠู† ู…ุฌู…ูˆุน
248
+
249
+ 63
250
+ 00:06:58,630 --> 00:06:59,410
251
+ ุนู† ุฅูŠู‡ุŸ
252
+
253
+ 64
254
+ 00:07:01,920 --> 00:07:12,880
255
+ X ุนู„ู‰ ุนุฏุฏู‡ ู…ุดูƒู„ู‡ ู„ูˆ ุฌู…ุนุช ุงู„ 18 ุงู„ 20 ุงู„ 22 ุงู„ 24 ูˆ
256
+
257
+ 65
258
+ 00:07:12,880 --> 00:07:17,920
259
+ ู‚ุณู…ุช ุนู„ู‰ ุนุฏุฏู‡ู… ุฌูˆุงุจ ูˆุงุญุฏ ุนุดุงู† ุงู„ู…ูŠู† ุงู„ุนุงุฏู‰ ุงู„ู„ูŠ
260
+
261
+ 66
262
+ 00:07:17,920 --> 00:07:23,180
263
+ ุจูŠุณู…ูŠู‡ population mean ูˆ ุจุทู„ุน ุณูŠุฌู…ุงุŒ ุณูŠุฌู…ุง ุนุจุงุฑุฉ
264
+
265
+ 67
266
+ 00:07:23,180 --> 00:07:28,500
267
+ ุนู† ุฅูŠุดุŸ ุงู„ู„ูŠ ู‡ูŠ population standard deviation ุงู„
268
+
269
+ 68
270
+ 00:07:28,500 --> 00:07:34,330
271
+ definition ุชุจุนู‡ุง X ู†ุงู‚ุต ุงู„ mean over n this
272
+
273
+ 69
274
+ 00:07:34,330 --> 00:07:37,930
275
+ quantity squared because ุจุขุฎุฐ square root of sum x
276
+
277
+ 70
278
+ 00:07:37,930 --> 00:07:40,390
279
+ ู†ุงู‚ุต mean square over n ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู‚ุจู„ ู‡ูŠูƒ
280
+
281
+ 71
282
+ 00:07:40,390 --> 00:07:49,790
283
+ chapter 3 ู„ูˆ ุญุณุจุชูŠู‡ุง ุจุฑุงุญุชูƒ ุงู„ุฌูˆุงุจ 2.236 ุฅุฐุง
284
+
285
+ 72
286
+ 00:07:49,790 --> 00:07:54,870
287
+ ุงู„ mean ู„ู„ population ูƒู„ู‡ ุทู„ุน 21 ูˆ ุงู„ sigma ู„ู„
288
+
289
+ 73
290
+ 00:07:54,870 --> 00:08:00,930
291
+ population ูƒู„ู‡ ุทู„ุน 2.236 ู„ูˆ ุจุฏุฑุณู‡ู… ุงู„ values ู‡ุฏูˆู„
292
+
293
+ 74
294
+ 00:08:00,930 --> 00:08:08,180
295
+ ุงู„ x18-18-22-24 ู…ุน ุงู„ proportion ู…ุน ุงู„ P ุชุจุนุชู‡ู…
296
+
297
+ 75
298
+ 00:08:08,180 --> 00:08:13,980
299
+ ูŠุฏุฑุณ ุงู„ู†ุณุจุฉ ุชุจุนุชู‡ู… ุงู„ุทุงู„ุจ ูƒู… ูˆุงุญุฏ ุทุงู„ุจู‡ ุนู…ุฑู‡
300
+
301
+ 76
302
+ 00:08:13,980 --> 00:08:19,890
303
+ ูˆุงุญุฏ ู…ุธุจูˆุท ุดุฎุต ูˆุงุญุฏ ุฅูŠุด ู†ุณุจุชู‡ ุจุงู„ู†ุณุจุฉ ู„ู„ุฃุฑุจุนุฉุŸ ุฃุฑุจุนุฉ
304
+
305
+ 77
306
+ 00:08:19,890 --> 00:08:26,990
307
+ ูŠุนู†ูŠ 25% ุฅุฐุง ุฃูˆู„ ูˆุงุญุฏ ู†ุณุจุชู‡ 25% ุทุจ ุงู„ู‚ูŠู…ุฉ 20 ูƒู… ู…ุฑุฉ
308
+
309
+ 78
310
+ 00:08:26,990 --> 00:08:33,450
311
+ ู…ุชูƒุฑุฑุฉ ู…ุฑุฉ ุจุฑุฏูˆ ุจุทู„ุน 25 ูˆ ุงู„ุชุงู„ุชุฉ 25 ูˆ ุงู„ุฑุงุจุนุฉ 25
312
+
313
+ 79
314
+ 00:08:33,450 --> 00:08:40,150
315
+ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ูƒู„ู‡ู… ุฒูŠ ุจุนุถ ูˆุงุถุญ ู‡ุฐุง ุฅูŠุด ุจู†ุณู…ูŠู‡ uniform
316
+
317
+ 80
318
+ 00:08:40,150 --> 00:08:47,330
319
+ distribution ูŠุนู†ูŠ
320
+
321
+ 81
322
+ 00:08:47,330 --> 00:08:53,760
323
+ ุงู„ X ุทู„ุน ู„ู‡ุง ุจู†ุณู…ูŠ ุงู„ุชูˆุฒูŠุน ู…ู†ุชุธู…
324
+
325
+ 82
326
+ 00:08:53,760 --> 00:09:00,220
327
+ ุฅุญู†ุง ู…ู‡ุชู…ูŠู† ู…ุด ุจุงู„ุฅูƒุณุงุช ุฏูˆู„ ู…ู‡ุชู…ูŠู† ุจุงู„ู€
328
+
329
+ 83
330
+ 00:09:00,220 --> 00:09:07,020
331
+ distribution ู„ู…ู†ุŸ ู„ู€ means ูƒู„ู‡ู… ุฅุฐุง ู†ูุชุฑุถ ุฃู† ุฃุฎุฐ
332
+
333
+ 84
334
+ 00:09:07,020 --> 00:09:12,620
335
+ sample size just
336
+
337
+ 85
338
+ 00:09:12,620 --> 00:09:17,560
339
+ for example ุณู†ุฃุฎุฐ all possible samples of size n
340
+
341
+ 86
342
+ 00:09:17,560 --> 00:09:21,960
343
+ equal to one ุจุชุฃุฎุฐ ุงู„ุนูŠู†ุงุช ู„ุญุฌู…ู‡ุง ุงุซู†ูŠู† ูุจุชุฃุฎุฐ ูƒู„
344
+
345
+ 87
346
+ 00:09:21,960 --> 00:09:26,940
347
+ ุนูŠู†ุฉ ุญุฌู…ู‡ุง ุงุซู†ูŠู† ุจุณ ุฅุฐุง ุจุชุฃุฎุฐ ุงู„ size equal ุงุซู†ูŠู†
348
+
349
+ 88
350
+ 00:09:26,940 --> 00:09:40,460
351
+ ุงู„ values ู…ู† ุงู„ุงุตู„ ูƒู„ู…ุฉ 18 20 22 24 ู‡ุฃุฎุฐ
352
+
353
+ 89
354
+ 00:09:40,460 --> 00:09:45,120
355
+ ุฏู‡ ู…ุน repetition ู…ุน ุงู„ุชูƒุฑุงุฑ ูู‡ุงุฎุฏ ุงู„ 18 ู…ุน ุงู„ 18
356
+
357
+ 90
358
+ 00:09:46,640 --> 00:09:49,960
359
+ ุฃู†ุง ุญูƒูŠุช size 2 ู…ุด checkุŸ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
360
+
361
+ 91
362
+ 00:09:49,960 --> 00:09:51,240
363
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
364
+
365
+ 92
366
+ 00:09:51,240 --> 00:09:52,960
367
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
368
+
369
+ 93
370
+ 00:09:52,960 --> 00:09:55,560
371
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
372
+
373
+ 94
374
+ 00:09:55,560 --> 00:10:02,540
375
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
376
+
377
+ 95
378
+ 00:10:02,540 --> 00:10:02,700
379
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…๏ฟฝ๏ฟฝ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
380
+
381
+ 96
382
+ 00:10:02,700 --> 00:10:04,060
383
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
384
+
385
+ 97
386
+ 00:10:04,060 --> 00:10:10,380
387
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†
388
+
389
+ 98
390
+ 00:10:18,180 --> 00:10:21,820
391
+ ุฃู†ุง ุฃุฎุฐุช ูƒู„ ุงู„ samples of size 2 ุฃุฎุฐุช ูƒู„ ุงู„ 2 ู…ุน
392
+
393
+ 99
394
+ 00:10:21,820 --> 00:10:24,980
395
+ ุจุนุถ ูˆ ุงู„ tekrar ู…ูˆุฌูˆุฏ ุงู„ุฃูˆู„ ู…ุน ุงู„ุฃูˆู„ุŒ ุงู„ุฃูˆู„ ู…ุน
396
+
397
+ 100
398
+ 00:10:24,980 --> 00:10:29,180
399
+ ุงู„ุซุงู†ูŠุŒ ุงู„ุฃูˆู„ ู…ุน ุงู„ุซุงู„ุซ ูˆ ูƒุฐุง ุฃู†ุง ู…ุด ู…ู‡ุชู… ุจู‡ุฏูˆู„ุŒ
400
+
401
+ 101
402
+ 00:10:29,180 --> 00:10:34,100
403
+ ู…ู‡ุชู… ุจู…ูŠู†ุŸ ุจุงู„ average ุชุจุนู‡ู…ุŒ ุจุงู„ู…ูŠู† ุชุจุนู‡ู… ู„ูˆ ุทู„ุนุช
404
+
405
+ 102
406
+ 00:10:34,100 --> 00:10:41,360
407
+ ุงู„ average ู„ู‡ู… 18 ูˆ 18ุŒ ุฅูŠุด ุงู„ average ู„ู‡ุŸ 18 ูˆ
408
+
409
+ 103
410
+ 00:10:41,360 --> 00:10:51,330
411
+ 18 18 ูˆ 18ุŒ ู‡ูŠ ุงู„ 18 ุงู„ุฃูˆู„ู‰ ุจุงู„ุชุงู„ูŠ 18 ูˆ 20 ูˆ ุจุนุฏูŠู†
412
+
413
+ 104
414
+ 00:10:51,330 --> 00:11:00,650
415
+ 18 ูˆ 22 ุนู…ู„ุชู…
416
+
417
+ 105
418
+ 00:11:00,650 --> 00:11:07,230
419
+ ูƒู„ู‡ู… ู‡ุฐูˆู„ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ means ูƒู„ ู…ุง ูƒุงู† ูˆุงุญุฏ 16
420
+
421
+ 106
422
+ 00:11:07,230 --> 00:11:15,210
423
+ ุงู„ู„ูŠ ุฃู†ุง ู…ู‡ุชู… ุฅูŠู‡ ู‡ูˆ ุงู„ means ุงู„ู„ูŠ ุทู„ุนูˆุง ุทู„ุน ุนู„ู‰
424
+
425
+ 107
426
+ 00:11:15,210 --> 00:11:15,790
427
+ ุงู„ุดุงุดุฉ ู‡ู†ุง
428
+
429
+ 108
430
+ 00:11:20,650 --> 00:11:26,790
431
+ ุฎู„ูŠู†ูŠ ุฃูƒุชุจ ุงู„ means ูƒู… 18 ู…ูˆุฌูˆุฏุฉ ูƒู… 18 ููŠ ู‡ุฏูˆู„ุŒ
432
+
433
+ 109
434
+ 00:11:26,790 --> 00:11:35,330
435
+ ูˆุงุญุฏุฉุŒ ู…ุธุจูˆุทุŸ ููŠ ุบูŠุฑู‡ุง ู„ุฃุŒ ูˆ 19 ูŠุนู†ูŠ ุฃูˆู„ ูˆุงุญุฏุฉ
436
+
437
+ 110
438
+ 00:11:35,330 --> 00:11:40,860
439
+ ุดูˆูุช 18, 19, 20 ูˆ ูƒุฐุงุŒ ุงู„ 18 ู…ุฑุฉ ูˆุงุญุฏุฉ ุจุนุฏูŠู† ู‡ูŠ
440
+
441
+ 111
442
+ 00:11:40,860 --> 00:11:49,440
443
+ ุงู„ุชุณุนุฉ ุนุดุฑ ูˆุงุญุฏ
444
+
445
+ 112
446
+ 00:11:49,440 --> 00:11:54,260
447
+ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
448
+
449
+ 113
450
+ 00:11:54,260 --> 00:11:55,400
451
+ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
452
+
453
+ 114
454
+ 00:11:55,400 --> 00:11:55,980
455
+ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู†
456
+
457
+ 115
458
+ 00:11:55,980 --> 00:11:58,040
459
+ ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
460
+
461
+ 116
462
+ 00:11:58,040 --> 00:12:01,020
463
+ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
464
+
465
+ 117
466
+ 00:12:01,020 --> 00:12:03,380
467
+ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู†
468
+
469
+ 118
470
+ 00:12:03,380 --> 00:12:06,100
471
+ ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ
472
+
473
+ 119
474
+ 00:12:06,100 --> 00:12:06,740
475
+ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ
476
+
477
+ 120
478
+ 00:12:06,740 --> 00:12:11,920
479
+ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูƒูŠู ุดูƒู„ู‡ู… ู„ูˆ ุจุฏูŠ ุฃุนู…ู„ ูˆ ู‡ูŠูƒ
480
+
481
+ 121
482
+ 00:12:11,920 --> 00:12:20,680
483
+ ุฃุนู…ู„ flip ู„ูˆ ุจุชุนู…ู„ูŠ flip around ุงู„ x axis ุดูƒู„ู‡
484
+
485
+ 122
486
+ 00:12:20,680 --> 00:12:26,800
487
+ ู„ูˆ ุฃู†ุช ุนู…ู„ุชูŠู‡ ุฏูˆุฑุงู† ู‡ูŠูƒ ุงู„ู†ุงุญูŠุฉ
488
+
489
+ 123
490
+ 00:12:26,800 --> 00:12:30,260
491
+ ุฏูŠ ูŠุนู†ูŠ ุฎู„ูŠ ู‡ุฐุง ู‡ูŠูƒ ุงู„ vertical line ุฎู„ูŠู‡ุง
492
+
493
+ 124
494
+ 00:12:30,260 --> 00:12:36,000
495
+ horizontal ุฅูŠุด ู…ุทู„ุน ุดูƒู„ู‡ู… ุฏู‡ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ูˆุง ู…ุน ุจุนุถ ุงู„
496
+
497
+ 125
498
+ 00:12:36,000 --> 00:12:41,860
499
+ 18 ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุธุจูˆุท ู‡ูŠ ุงู„ุฑุตุฏ ุงู„ 18 ู…ุฑุฉุŒ ู…ุธุจูˆุทุŸ
500
+
501
+ 126
502
+ 00:12:41,860 --> 00:12:48,680
503
+ ุนุฏุฏู‡ู… ูƒู…ุŸ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
504
+
505
+ 127
506
+ 00:12:48,680 --> 00:12:50,160
507
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
508
+
509
+ 128
510
+ 00:12:50,160 --> 00:12:54,660
511
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
512
+
513
+ 129
514
+ 00:12:54,660 --> 00:12:57,820
515
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
516
+
517
+ 130
518
+ 00:12:57,820 --> 00:12:57,920
519
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
520
+
521
+ 131
522
+ 00:12:57,920 --> 00:13:03,080
523
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16
524
+
525
+ 132
526
+ 00:13:08,660 --> 00:13:13,200
527
+ ุงู„ุนุดุฑูŠู† ุซู„ุงุซุฉ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑูˆู† ุฃุฑุจุนุฉ ุจุนุฏูŠู† ุฅูŠุด ุจูŠุจุฏุฃ
528
+
529
+ 133
530
+ 00:13:13,200 --> 00:13:20,120
531
+ ูŠู†ู‚ุต ูˆุงุญุฏ ูˆุงุญุฏ ู…ุด ู‡ูƒุฐุง ุงู„ุงุซู†ูŠู† ูˆ ุงู„ุนุดุฑูˆู† ุซู„ุงุซุฉ ุงู„ุซู„ุงุซุฉ
532
+
533
+ 134
534
+ 00:13:20,120 --> 00:13:24,920
535
+ ูˆ ุงู„ุนุดุฑูˆู† ุงุซู†ูŠู† ูˆ ุงู„ุฑุงุจุนุฉ ูˆ ุงู„ุนุดุฑูˆู† ูˆุงุญุฏ let's compare the
536
+
537
+ 135
538
+ 00:13:24,920 --> 00:13:29,980
539
+ graph for the sample means ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠู‡ ูˆุงู„ graph
540
+
541
+ 136
542
+ 00:13:29,980 --> 00:13:33,580
543
+ ุชุจุน ุงู„ individual values ู„ู…ุง ุงุฎุฐู†ุงู‡ู… ูƒู„ ู‚ูŠู… ู„ุญุงู„ู‡ุง
544
+
545
+ 137
546
+ 00:13:33,580 --> 00:13:40,550
547
+ ู…ุด ุทู„ุน ุงู„ุดูƒู„ uniform ู„ู…ุง ุงุฎุฐู†ุง ุงู„ means ู‡ู„ ุดูƒู„ู‡
548
+
549
+ 138
550
+ 00:13:40,550 --> 00:13:45,210
551
+ uniformุŸ ู…ู†ุชุธู…ุŸ ู‡ู„ ูƒู„ู‡ู… ุฒูŠ ุจุนุถุŸ ุฑุญู„ุฉ ุจู†ุฏูˆุฑ ุนู„ูŠู‡ุง
552
+
553
+ 139
554
+ 00:13:45,210 --> 00:13:50,050
555
+ ุซู„ุงุซุฉ ุดุบู„ุงุช ุชุชุฐูƒุฑ ุฃูˆู„ ู„ู‚ุงุก ุญูƒูŠู†ุง ุนู„ูŠู‡ ุนุงูŠุฒูŠู† ุงู„
556
+
557
+ 140
558
+ 00:13:50,050 --> 00:13:58,210
559
+ center ูˆ ุงู„ spread ูˆ ุงู„ shape ุซ๏ฟฝ๏ฟฝุงุซุฉ ุดุบู„ุงุช ูŠุนู†ูŠ ุฅูŠุด
560
+
561
+ 141
562
+ 00:13:58,210 --> 00:14:03,210
563
+ ู…ุนู†ู‰ centerุŸ ูŠุนู†ูŠ ุงู„ู…ุฑูƒุฒ ู„ู‡ู… ูŠุนู†ูŠ ุฅูŠุด ุงู„ mean ู„ู‡ู…
564
+
565
+ 142
566
+ 00:14:05,650 --> 00:14:09,590
567
+ ุฅุฐุง ุงู„ู€ Sampling distribution means we are looking
568
+
569
+ 143
570
+ 00:14:09,590 --> 00:14:18,790
571
+ for the center it means the mean spread ูˆ
572
+
573
+ 144
574
+ 00:14:18,790 --> 00:14:24,590
575
+ ุงู„ุดูƒู„ but we are interested in the Sampling
576
+
577
+ 145
578
+ 00:14:24,590 --> 00:14:27,790
579
+ distribution of the means ุจุนุฏ ูƒุฏู‡ ุนุงูŠุฒ ุงู„ู…ูŠู† ู„ู…ูŠู†
580
+
581
+ 146
582
+ 00:14:27,790 --> 00:14:35,790
583
+ ู„ู„ means ุงู„ู…ูŠู† ู„ู„ means ู‡ุฏูˆู„ ุงู„ spread ูŠุนู†ูŠ ุงู„
584
+
585
+ 147
586
+ 00:14:35,790 --> 00:14:40,650
587
+ standard deviation ู„ู…ูŠู†ุŸ ุจุฑุถู‡ ู„ู„ means ูˆ ุงู„ spread
588
+
589
+ 148
590
+ 00:14:40,650 --> 00:14:47,550
591
+ ู„ู„ meansุŸ ู‡ุฏูˆู„ ุซู„ุงุซุฉ ุฃุณุฆู„ุฉ ู†ุฌุงูˆุจ ุนู„ูŠู‡ู… ุงู„ุขู† ูˆุทู„ุนู‡ู…
592
+
593
+ 149
594
+ 00:14:47,550 --> 00:14:54,070
595
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูุงู„ุฃูˆู„ ู‡ุฃุทู„ุน ุงู„ mean ู„ู…ู†ุŸ ู„ ุงู„ means
596
+
597
+ 150
598
+ 00:14:54,070 --> 00:15:02,770
599
+ ูุฃูŠ meansุŸ ุงู„ means ู‡ุฏูˆู„ ุงู„ 18 ูˆ 19 ูˆ ู‡ูƒุฐุง ูŠุนู†ูŠ ุฃู†ุง
600
+
601
+ 151
602
+ 00:15:02,770 --> 00:15:11,910
603
+ ุฃุฌู…ุนู‡ู… ู‡ูŠ 18 19 ูˆุฃูƒู…ู„ ู„ุบุงูŠุฉ ุฃุฎุฑ ูˆุงุญุฏ ุนู„ู‰ ูƒุฏู‡ุŸ 16
604
+
605
+ 152
606
+ 00:15:11,910 --> 00:15:21,010
607
+ ู„ูˆ ุฌู…ุนุชู‡ู… ูˆู‚ุณู…ุชู‡ู… ุนู„ู‰ 16 ุทู„ุน 21 ุฅุฐุง ุทู„ุน ุงู„ mean ู„
608
+
609
+ 153
610
+ 00:15:21,010 --> 00:15:26,670
611
+ ุงู„ means ุฅูŠุด ุจูŠุณุงูˆูŠุŸ 21 ุงู„ู„ูŠ ู‡ูˆ ู†ูุณู‡ ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
612
+
613
+ 154
614
+ 00:15:26,670 --> 00:15:29,250
615
+ mean ู„ ู…ูŠู†ุŸ ู„ู„ population ู…ู…ุชุงุฒ ู‡ุฐุง ุงู„ mean ู„ู„
616
+
617
+ 155
618
+ 00:15:29,250 --> 00:15:31,850
619
+ population ู‡ุฐุง ุนุจุงุฑุฉ ุนู† population mean
620
+
621
+ 156
622
+ 00:15:36,710 --> 00:15:39,650
623
+ ุทู„ุน ุงู„ู€ mean ู„ู„ู€ sample ุงู„ู€ mean ู‡ูˆ ู†ูุณู‡ ุงู„
624
+
625
+ 157
626
+ 00:15:39,650 --> 00:15:45,250
627
+ population mean ุทุจ ุฃุทู„ุนู†ุง sigma x bar ุญุณุจ ุงู„ู‚ุงู†ูˆู†
628
+
629
+ 158
630
+ 00:15:45,250 --> 00:15:49,370
631
+ ุงู„ summation ุงู„ู„ูŠ
632
+
633
+ 159
634
+ 00:15:49,370 --> 00:15:57,250
635
+ ู‡ูˆ ุงู„ x bar ู†ู‚ุต ุงู„ mean ู„ู„ x bar ุนู„ู‰ n ู‡ูŠ ูƒุฏู‡
636
+
637
+ 160
638
+ 00:15:57,250 --> 00:16:02,370
639
+ ุจุชุทู„ุนู‡ู… ุฃูˆู„ mean ูƒุงู†ุช 18 ู…ุด ู‡ูŠ 18
640
+
641
+ 161
642
+ 00:16:04,880 --> 00:16:15,520
643
+ ูˆ ุงู„ mean ุงู„ู„ูŠ ู‡ู… ูƒุฏู‡ุŸ 21 ูˆุงู„ู„ูŠ ุจุนุฏู‡ 19-21ยฒ ู„ุบุงูŠุฉ
644
+
645
+ 162
646
+ 00:16:15,520 --> 00:16:21,760
647
+ ุฃุฎุฑ ูˆุงุญุฏ 24-21ยฒ
648
+
649
+ 163
650
+ 00:16:21,760 --> 00:16:32,780
651
+ ุนู„ู‰ 16 ูˆุทู„ุน ุงู„ุฌูˆุงุจ sigma ู„ู€ x bar 1.58
652
+
653
+ 164
654
+ 00:16:36,260 --> 00:16:41,180
655
+ ุทู„ุน ุงู„ู€ sigma ู„ู„ population ูƒุฏู‡ุŸ ุงู„ sigma ู„ู„
656
+
657
+ 165
658
+ 00:16:41,180 --> 00:16:47,520
659
+ population ู…ุชุณุงูˆูŠ 2.236 ุฅุฐุง ุทู„ุนู†ุง ุงู„ mean ู„ู„
660
+
661
+ 166
662
+ 00:16:47,520 --> 00:16:51,320
663
+ population ุทู„ุนู†ุง ุงู„ sigma ู„ู„ population ูˆุจุนุฏูŠู†
664
+
665
+ 167
666
+ 00:16:51,320 --> 00:16:54,940
667
+ ุฃุฎุฐู†ุง all samples of size 2 ุทู„ุนู†ุง ุงู„ means ุงู„ู„ูŠ ู‡ู…
668
+
669
+ 168
670
+ 00:16:54,940 --> 00:17:00,100
671
+ ุทู„ุนู†ุง ุงู„ mean ู„ู„ means ูˆ ุงู„ sigma ู„ู„ means ุทู„ุน
672
+
673
+ 169
674
+ 00:17:00,100 --> 00:17:04,280
675
+ ู…ุนุงูŠุง ุงู„ mean ู„ู„ x bar 21 ูˆ ุงู„ sigma ู„ู„ x bar 1.58
676
+
677
+ 170
678
+ 00:17:06,610 --> 00:17:10,070
679
+ ู‡ุฐู‡ ุฃุฑุณูˆู…ู‡ู… ุทู„ุน ุงู„ุฑุณู… ู‡ุฐู‡ ุงู„ุดูƒู„ ู‡ุฐู‡ ุงู„ population
680
+
681
+ 171
682
+ 00:17:10,070 --> 00:17:15,590
683
+ of size 4 ูˆู‡ุฐู‡ ุงู„ sample means ู„ู…ุง ุฃุฎุฐุช n equals 2
684
+
685
+ 172
686
+ 00:17:15,590 --> 00:17:21,070
687
+ ุจุฏูŠ ุฃุนู…ู„ comparison between these two graphs ุฃูˆู„
688
+
689
+ 216
690
+ 00:21:03,170 --> 00:21:08,830
691
+ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ูƒู„ู…ุง ุฒุงุฏ ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ู…ุงู„ู‡ุง ุจุชู‚ุฏุฑ
692
+
693
+ 217
694
+ 00:21:08,830 --> 00:21:12,830
695
+ ุฅุฐุง ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ุฃูƒุจุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู†
696
+
697
+ 218
698
+ 00:21:12,830 --> 00:21:14,030
699
+ ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุง
700
+
701
+ 219
702
+ 00:21:14,030 --> 00:21:16,210
703
+ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู†
704
+
705
+ 220
706
+ 00:21:16,210 --> 00:21:18,910
707
+ ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุง
708
+
709
+ 221
710
+ 00:21:18,910 --> 00:21:27,010
711
+ ุฃูƒุซุฑ ู…ู† ุณูŠุฌู…ุงุŒ ุฃูƒุซุฑ ู…ู† ุงู„ุขู†ุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
712
+
713
+ 222
714
+ 00:21:27,010 --> 00:21:31,730
715
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
716
+
717
+ 223
718
+ 00:21:31,730 --> 00:21:37,350
719
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
720
+
721
+ 224
722
+ 00:21:37,350 --> 00:21:40,530
723
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
724
+
725
+ 225
726
+ 00:21:40,530 --> 00:21:43,470
727
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
728
+
729
+ 226
730
+ 00:21:43,470 --> 00:21:45,070
731
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
732
+
733
+ 227
734
+ 00:21:45,070 --> 00:21:45,530
735
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
736
+
737
+ 228
738
+ 00:21:45,530 --> 00:21:45,770
739
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
740
+
741
+ 229
742
+ 00:21:45,770 --> 00:21:49,730
743
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
744
+
745
+ 230
746
+ 00:21:49,730 --> 00:21:53,020
747
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ูˆุงู„ู€ sigma x bar ุจูŠุณุงูˆูŠ
748
+
749
+ 231
750
+ 00:21:53,020 --> 00:21:56,860
751
+ sigma over square root of nุŒ ุงู„ุดูŠุก ุจูŠุญุฏุซ if the
752
+
753
+ 232
754
+ 00:21:56,860 --> 00:22:00,280
755
+ population is normal then x bar is also normally
756
+
757
+ 233
758
+ 00:22:00,280 --> 00:22:04,880
759
+ distributed with mean equals mu and sigma x bar
760
+
761
+ 234
762
+ 00:22:04,880 --> 00:22:10,040
763
+ equals sigma over square root of nุŒ ุฅุฐู† ู…ุง ุญุตู„ู†ุง
764
+
765
+ 235
766
+ 00:22:10,040 --> 00:22:15,960
767
+ ุนู„ูŠู‡ ุฃู† ุงู„ุชูˆุฒูŠุน x bar ู„ู‡ average ุจูŠุณุงูˆูŠ mu ุงู„ู„ูŠ ู‡ูˆ
768
+
769
+ 236
770
+ 00:22:15,960 --> 00:22:20,100
771
+ population meanุŒ ู„ุฃู† ุงู„ู€ population mean is always
772
+
773
+ 237
774
+ 00:22:20,100 --> 00:22:25,720
775
+ ... ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ is always unknownุŒ ุงู„ู‚ูŠู…ุฉ
776
+
777
+ 238
778
+ 00:22:25,720 --> 00:22:29,420
779
+ ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ูƒูŠู ุจ ... ุจุนู…ู„ู‡ estimation ุจุฃุฎุฐ
780
+
781
+ 239
782
+ 00:22:29,420 --> 00:22:34,080
783
+ different samples ูˆุฃุทู„ุน ุงู„ mean ู„ูƒู„ sampleุŒ ุงู„
784
+
785
+ 240
786
+ 00:22:34,080 --> 00:22:36,480
787
+ average ุชุจุนู‡ู… ุฃูˆ ุงู„ mean ุชุจุนู‡ู… ุนุจุงุฑุฉ ุนู† ุงู„
788
+
789
+ 241
790
+ 00:22:36,480 --> 00:22:40,420
791
+ population meanุŒ ูŠุนู†ูŠ ุงู„ ู…ูŠูˆ ู…ุด ู…ุนุฑูˆูุฉ ูƒูŠู
792
+
793
+ 242
794
+ 00:22:40,420 --> 00:22:45,630
795
+ ุจุชุนุฑููŠู‡ุงุŸ ุฎุฐูŠ ุงู„ samples ู…ุฎุชู„ูุฉ ุฃุทู„ุนูŠ ุงู„ meanุŒ ุฃุทู„ุนูŠ
796
+
797
+ 243
798
+ 00:22:45,630 --> 00:22:48,950
799
+ ุงู„ู…ุชูˆุณุท ุงู„ meansุŒ ู‡ุฏูˆู„ ุงู„ู…ุชูˆุณุท ุงู„ means ุงู„ู„ูŠ ุจูŠุทู„ุน
800
+
801
+ 244
802
+ 00:22:48,950 --> 00:22:52,910
803
+ ู…ุนุงูŠุง ุนุจุงุฑุฉ ุนู† population meanุŒ ูŠุนู†ูŠุŒ ูˆุงู„ sigma x bar
804
+
805
+ 245
806
+ 00:22:52,910 --> 00:22:57,950
807
+ ุจูŠุณุงูˆูŠ ุงู„ sigma ุนู„ู‰ ุงู„ square root of nุŒ ุฏูˆู„ ุงู„ shape ุชุจุนู‡ู…
808
+
809
+ 246
810
+ 00:22:57,950 --> 00:23:02,130
811
+ ุฅุฐุง ุงู„ population is normal ุจูŠูƒูˆู† ุจุฑุถู‡ ุงู„ x bar
812
+
813
+ 247
814
+ 00:23:02,130 --> 00:23:05,650
815
+ ู…ุงู„ู‡ normalุŒ ู„ุฃู† ุฃู†ุง ููŠ ุนู†ุฏูŠ population is normal
816
+
817
+ 248
818
+ 00:23:05,650 --> 00:23:11,570
819
+ ู‡ูŠ ู‡ูŠ ุงู„ population normalุŒ ุฃุฎุฐุช ู…ู†ู‡ ุงู„ sampleุŒ ุฅูŠุด
820
+
821
+ 249
822
+ 00:23:11,570 --> 00:23:16,680
823
+ ุญูŠูƒูˆู† ุจุฑุถู‡ ุดูƒู„ู‡ุง ุฒูŠ ุชูˆุฒูŠุนู‡ุง ุทุจูŠุนูŠุŒ ุงู„ population ูƒู„ู‡
824
+
825
+ 250
826
+ 00:23:16,680 --> 00:23:20,400
827
+ ุทุจูŠุนูŠุŒ ู„ูˆ ู†ุงุฎุฏ ู…ู†ู‡ ุนูŠู†ุฉุŒ ู‡ูŠูƒูˆู† ุจุฑุถู‡ normal
828
+
829
+ 251
830
+ 00:23:20,400 --> 00:23:24,840
831
+ distributionุŒ ุทุจ ู„ุฃู† ุงู„ z score ุชุจุนู†ุง ุงู„ุฌุฏูŠุฏุŒ ุฅูŠุด
832
+
833
+ 252
834
+ 00:23:24,840 --> 00:23:28,180
835
+ ู‡ูŠุณุงูˆูŠุŸ
836
+
837
+ 253
838
+ 00:23:28,180 --> 00:23:36,380
839
+ ู†ุฐูƒุฑ ุงู„ z score ุงู„ู„ูŠ ุงุฎุฐู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ุŒ ุงู„ z ู„ูˆ ู†ุญูƒูŠ
840
+
841
+ 254
842
+ 00:23:36,380 --> 00:23:36,960
843
+ ุนู„ู‰ ุงู„ x
844
+
845
+ 255
846
+ 00:23:40,300 --> 00:23:47,560
847
+ ูƒุงู† z ุนุจุงุฑุฉ ุนู† x over sigmaุŒ ูƒู†ุง ู†ูƒุชุจ ุฒูŠ ูƒุฐุง x minus
848
+
849
+ 256
850
+ 00:23:47,560 --> 00:23:50,880
851
+ ุงู„ mean over sigmaุŒ ุจุณ ุงู„ู…ู‚ุตูˆุฏ ูŠุจู‚ู‰ ุงู„ mean ู„ู„ x ูˆ
852
+
853
+ 257
854
+ 00:23:50,880 --> 00:23:56,360
855
+ ุงู„ sigma ู„ู„ xุŒ ูŠุนู†ูŠ x minus its mean divided by its
856
+
857
+ 258
858
+ 00:23:56,360 --> 00:24:01,580
859
+ standard deviationุŒ ุทุจ ู„ุฃู† ู‡ุฐุง z for x ุฃู†ุง ุนุงูŠุฒ ุงู„ z
860
+
861
+ 259
862
+ 00:24:01,580 --> 00:24:07,240
863
+ ู„ู…ูŠู†ุŸ ู„ ุงู„ x barุŒ ู„ุฃู† ุฃู†ุง ู…ุด ู‡ุชูƒู„ู… ุนู† ุงู„ x ุฎุงู„ุตุŒ ุงู„ z
864
+
865
+ 260
866
+ 00:24:07,240 --> 00:24:10,700
867
+ value for the same distribution of the meanุŒ ู„ุฃู†
868
+
869
+ 261
870
+ 00:24:10,700 --> 00:24:16,920
871
+ ุฃู†ุง ุนุงูŠุฒ ุงู„ z ู„ ุงู„ x barุŒ ุฅูŠุด
872
+
873
+ 262
874
+ 00:24:16,920 --> 00:24:23,360
875
+ ุญุงุณู‡ ู‡ูˆ ู‡ู†ุง ูƒู„ ุญุงุฌุฉุŒ ู…ุง ู„ูˆ ุญุณุจุช ุงู„ x ุจ x barุŒ ูˆูŠุตูŠุฑ
876
+
877
+ 263
878
+ 00:24:23,360 --> 00:24:24,040
879
+ ู‡ูŠ ุงู„ x bar
880
+
881
+ 264
882
+ 00:24:27,130 --> 00:24:35,790
883
+ ู…ุนูŠู†ุฉ ุณู…ูŠู‘ู†ุงู‡ุง ู„ู„ X bar ุณูŠุฌู…ุง ู„ู„ X barุŒ ู†ูุณ
884
+
885
+ 265
886
+ 00:24:35,790 --> 00:24:44,550
887
+ ุงู„ mean of X bar ู†ูุณ ุงู„ population meanุŒ ู†ูุณ
888
+
889
+ 266
890
+ 00:24:44,550 --> 00:24:44,710
891
+ ุงู„ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
892
+
893
+ 267
894
+ 00:24:44,710 --> 00:24:44,790
895
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
896
+
897
+ 268
898
+ 00:24:44,790 --> 00:24:44,810
899
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
900
+
901
+ 269
902
+ 00:24:44,810 --> 00:24:44,890
903
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
904
+
905
+ 270
906
+ 00:24:44,890 --> 00:24:45,090
907
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
908
+
909
+ 271
910
+ 00:24:45,090 --> 00:24:45,150
911
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
912
+
913
+ 272
914
+ 00:24:45,150 --> 00:24:45,350
915
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
916
+
917
+ 273
918
+ 00:24:45,350 --> 00:24:45,370
919
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
920
+
921
+ 274
922
+ 00:24:45,370 --> 00:24:45,610
923
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
924
+
925
+ 275
926
+ 00:24:45,610 --> 00:24:49,870
927
+ population meanุŒ ู†ูุณ ุงู„ population meanุŒ ู†ูุณ ุงู„
928
+
929
+ 276
930
+ 00:24:49,870 --> 00:24:50,810
931
+ population mean
932
+
933
+ 277
934
+ 00:24:55,680 --> 00:24:58,960
935
+ x bar minus the mean divided by sigma over square
936
+
937
+ 278
938
+ 00:24:58,960 --> 00:25:03,260
939
+ root of nุŒ ู‡ุฐุง ุงู„ุงุฎุชู„ุงู ุนู† chapter 6 ุงู„ู„ูŠ ุงุฎุฐู†ุงู‡
940
+
941
+ 279
942
+ 00:25:03,260 --> 00:25:06,020
943
+ ุจุฏู„ ู…ุง ู†ุชุนุงู…ู„ ู…ุน ุงู„ xุŒ ุงู„ values ู†ูุณู‡ุงุŒ ู‡ู†ุงุฎุฏ mean
944
+
945
+ 280
946
+ 00:25:06,020 --> 00:25:11,180
947
+ ุงู„ mean ุชุจุนู‡ู…ุŒ ูˆุงู„ู‚ุงู†ูˆู† ู‡ูŠุตูŠุฑ ๏ฟฝ๏ฟฝุฏู„ x ู‡ูŠุตูŠุฑ x bar
948
+
949
+ 281
950
+ 00:25:11,180 --> 00:25:14,880
951
+ minus the same mean muุŒ population mean divided by
952
+
953
+ 282
954
+ 00:25:14,880 --> 00:25:18,700
955
+ instead of sigma we have sigma over square root of
956
+
957
+ 283
958
+ 00:25:18,700 --> 00:25:20,460
959
+ nุŒ ู‡ุฐุง sigma of x
960
+
961
+ 284
962
+ 00:25:28,690 --> 00:25:35,050
963
+ ุฃูŠ ุณุคุงู„ุŒ ุฃูŠ ุงุณุชูุณุงุฑุŒ ุฅุฐุง ุงุฎุฐู†ุง ุงู„ุซู„ุงุซ ู†ู‚ุงุทุŒ ุงู„ู€
964
+
965
+ 285
966
+ 00:25:35,050 --> 00:25:38,310
967
+ x barุŒ ู…ูŠูˆุŒ ุณูŠุฌู…ุง x barุŒ ุณูŠุฌู…ุง over square root of
968
+
969
+ 286
970
+ 00:25:38,310 --> 00:25:42,550
971
+ nุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ูุฅู† x bar ุฃูŠุถู‹ุง ุทุจูŠุนูŠ ู…ุน
972
+
973
+ 287
974
+ 00:25:42,550 --> 00:25:45,790
975
+ ู…ูŠู†ุง ู…ูŠูˆุŒ ูˆ standard deviation ุณูŠุฌู…ุง over square root of
976
+
977
+ 288
978
+ 00:25:45,790 --> 00:25:50,850
979
+ nุŒ ูˆุงู„ุฃู…ุฑ ุฏุงุฆู…ู‹ุงุŒ ุณูŠุฌู…ุง x bar ุฃู‚ู„ ู…ู† ุณูŠุฌู…ุงุŒ
980
+
981
+ 289
982
+ 00:25:50,850 --> 00:25:54,990
983
+ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุฃู† ุงู„ุฎุทุฃ ุงู„ุนุงู… ูŠุชุฎู„ุต ุนู†ุฏู…ุง ุชุฒูŠุฏ
984
+
985
+ 290
986
+ 00:25:54,990 --> 00:25:55,350
987
+ ุญุฌู… ุงู„ู…ุฌู…ูˆุนุฉ.
988
+
989
+ 291
990
+ 00:25:58,980 --> 00:26:03,680
991
+ ุงู„ุขู† ุงู†ุธุฑูˆุง ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุตูุญุงุชุŒ ู„ุฏูŠู†ุง ุตูุญุฉ ู„ู€ X
992
+
993
+ 292
994
+ 00:26:03,680 --> 00:26:06,860
995
+ ูˆุตูุญุฉ
996
+
997
+ 293
998
+ 00:26:06,860 --> 00:26:17,140
999
+ ู„ู€ XยฏุŒ ุฅุฐุง ูƒุงู†ุช mean X ู…ูŠูˆุŒ ุฃูŠุถู‹ุง mean Xยฏ ู…ูŠูˆุŒ mean Xยฏ
1000
+
1001
+ 294
1002
+ 00:26:17,140 --> 00:26:26,300
1003
+ ู…ูŠูˆุŒ ุจุนุถ ุงู„ู…ู‚ุงุจู„ุงุช ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู€ meanุŒ ุงู„ู€ x ูˆุงู„ู€ x
1004
+
1005
+ 295
1006
+ 00:26:26,300 --> 00:26:29,720
1007
+ bar ู„ู‡ู… ู†ูุณ ุงู„ู€ meanุŒ ุงู„ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ุฃูˆู„ ุฅู† ุงู„ู€
1008
+
1009
+ 296
1010
+ 00:26:29,720 --> 00:26:33,560
1011
+ mean ู„ ุงู„ x bar equal to muุŒ ู†ู†ุชู‚ู„ ุนู„ู‰ ุงู„ sigma ู„
1012
+
1013
+ 297
1014
+ 00:26:33,560 --> 00:26:38,100
1015
+ ุงู„ xุŒ for exampleุŒ suppose this is the graph for x
1016
+
1017
+ 298
1018
+ 00:26:38,100 --> 00:26:46,060
1019
+ so sigma x look
1020
+
1021
+ 299
1022
+ 00:26:46,060 --> 00:26:51,510
1023
+ at the corresponding oneุŒ ุงู„ู…ู‚ุงุจู„ุฉ ู„ู‡ุงุŒ ุจู„ุงุญุธ ู…ูŠู†
1024
+
1025
+ 300
1026
+ 00:26:51,510 --> 00:26:55,430
1027
+ ุงู„ุฃูƒุจุฑุŸ ุจุงู„ุฃูˆู„ู‰ุŒ sigma x greater than sigma x bar
1028
+
1029
+ 301
1030
+ 00:26:55,430 --> 00:27:03,350
1031
+ ุฅุฐุง always graph for x bar is narrower ุฃุถูŠู‚ ู…ู† ุงู„
1032
+
1033
+ 302
1034
+ 00:27:03,350 --> 00:27:06,690
1035
+ graph ุชุจุน ุงู„ xุŒ ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ which one is less
1036
+
1037
+ 303
1038
+ 00:27:06,690 --> 00:27:12,870
1039
+ spreadุŸ ู…ูŠู† ู‚ุงู„ ุชุจุนุชู‡ุŸ graph a,bุŒ so b is less
1040
+
1041
+ 304
1042
+ 00:27:12,870 --> 00:27:17,430
1043
+ spreadุŒ it means x bar has less spread distribution
1044
+
1045
+ 305
1046
+ 00:27:17,430 --> 00:27:21,700
1047
+ thanุŒ ูˆุงุถุญ ุฃู† ุณูŠุฌู…ุง X ุจุงุฑ ุงู„ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ ุงู„ุฃูˆู„
1048
+
1049
+ 306
1050
+ 00:27:21,700 --> 00:27:29,600
1051
+ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† XุŒ ุจู„ุงุญุธ ุงู„ mean ู„ู„ X bar ู†ูุณ ุงู„
1052
+
1053
+ 307
1054
+ 00:27:29,600 --> 00:27:36,400
1055
+ population meanุŒ ู„ู…ุง ูŠูƒูˆู† ุงู„ mean ู„ู„ X bar ุจูŠุณุงูˆูŠ
1056
+
1057
+ 308
1058
+ 00:27:36,400 --> 00:27:42,560
1059
+ ู…ูŠูˆุŒ in this case X bar is called unbiased
1060
+
1061
+ 309
1062
+ 00:27:42,560 --> 00:27:45,480
1063
+ estimator
1064
+
1065
+ 310
1066
+ 00:27:48,460 --> 00:27:51,660
1067
+ ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุงู„ู€ mean ู„ู‡ ุงู„ู€ x bar ุจุตูˆุฑุฉ ู…ูŠูˆ
1068
+
1069
+ 311
1070
+ 00:27:51,660 --> 00:27:59,160
1071
+ ู†ุณู…ูŠู‡ unbiased estimatorุŒ unbiased ู…ุนู†ุงู‡ ุบูŠุฑ ู…ุชุญูŠุฒ
1072
+
1073
+ 312
1074
+ 00:27:59,160 --> 00:28:03,420
1075
+ ูŠุนู†ูŠ ู‚ูŠู…ุชู‡ ู…ุง ุชูุฑุฌุด ุนู† population meanุŒ ูุงู„ mean ู„ ุงู„
1076
+
1077
+ 313
1078
+ 00:28:03,420 --> 00:28:09,740
1079
+ x bar is always equal to ู…ูŠูˆุŒ if mean of x bar
1080
+
1081
+ 314
1082
+ 00:28:09,740 --> 00:28:12,160
1083
+ equals to ู…ูŠูˆุŒ this means x bar is unbiased
1084
+
1085
+ 315
1086
+ 00:28:12,160 --> 00:28:16,460
1087
+ estimatorุŒ ูŠุนู†ูŠ ุงุนุชุจุฑู‡ ุงู„ุขู†ุŒ ู„ูˆ ุงู„ mean ู„ ุงู„ x bar
1088
+
1089
+ 316
1090
+ 00:28:16,460 --> 00:28:18,040
1091
+ ุจุตูˆุฑุฉ ู…ูŠูˆุŒ ู…ุนู†ุงู‡ x bar ู…ุงู„ู‡
1092
+
1093
+ 317
1094
+ 00:28:23,930 --> 00:28:32,730
1095
+ ุงู„ุณูŠุฌู…ุง ู…ู‚ุฏุฑุŒ ูŠุนู†ูŠ X bar ู…ู‚ุฏุฑ ุบูŠุฑ ู…ุชุญูŠุฒุŒ ูƒู…ุง
1096
+
1097
+ 318
1098
+ 00:28:32,730 --> 00:28:36,570
1099
+ ุฐูƒุฑู†ุงุŒ ูƒู…ุง ูŠุฒุฏุงุฏ NุŒ ุณูŠุฌู…ุง X bar ุจุชู‚ู„
1100
+
1101
+ 319
1102
+ 00:28:42,600 --> 00:28:50,400
1103
+ ุงู„ุฑุญู„ุฉ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ
1104
+
1105
+ 320
1106
+ 00:28:50,400 --> 00:28:53,020
1107
+ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ
1108
+
1109
+ 321
1110
+ 00:28:53,020 --> 00:28:55,860
1111
+ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ
1112
+
1113
+ 322
1114
+ 00:28:55,860 --> 00:29:00,080
1115
+ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ
1116
+
1117
+ 323
1118
+ 00:29:00,080 --> 00:29:00,800
1119
+ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ
1120
+
1121
+ 324
1122
+ 00:29:00,800 --> 00:29:08,700
1123
+ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠุบุฉ ุฃูƒุซุฑ ู„ุตูŠ
1124
+
1125
+ 325
1126
+ 00:29:10,170 --> 00:29:14,410
1127
+ ู„ู†ูุณ ุงู„ุงุชุฌุงู‡ุŒ ุงู„ spread ู…ุงู„ูˆ ูˆุงุถุญ ุฃูˆุณุน ู…ู† ุงู„ graph
1128
+
1129
+ 326
1130
+ 00:29:14,410 --> 00:29:19,170
1131
+ ุงู„ุชุงู†ูŠุŒ ู…ุน ูƒุฏู‡ ุงู„ sigma x bar ุงู„ุฃูˆู„ ู„ู„ุฃุญู…ุฑุŒ ุงู„ sigma
1132
+
1133
+ 327
1134
+ 00:29:19,170 --> 00:29:26,070
1135
+ x bar ู„ู„ red is more than sigma x bar ู„ู…ู†ุŸ ู„ู„ blue
1136
+
1137
+ 328
1138
+ 00:29:26,070 --> 00:29:30,630
1139
+ ูˆุงุถุญ ู‡ูŠูƒ ุงู„ sigma x bar ู„ู„ ุฃุญู…ุฑ ุงู„ู„ูŠ ู‡ู†ุง ุฃุตุบุฑ ู…ู†
1140
+
1141
+ 329
1142
+ 00:29:31,760 --> 00:29:34,500
1143
+ ู‡ุฐุง ุงู„ู€ comparison between two different
1144
+
1145
+ 330
1146
+ 00:29:34,500 --> 00:29:38,840
1147
+ distributions with the same meanุŒ both have the
1148
+
1149
+ 331
1150
+ 00:29:38,840 --> 00:29:44,720
1151
+ same mean but different standardุŒ now let's
1152
+
1153
+ 332
1154
+ 00:29:44,720 --> 00:29:48,760
1155
+ look how can we determine an interval including
1156
+
1157
+ 333
1158
+ 00:29:48,760 --> 00:29:52,720
1159
+ fixed proportion of the assemblages
1160
+
1161
+ 334
1162
+ 00:30:14,950 --> 00:30:21,950
1163
+ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู†ุจุญุซ ุนู† ุชุญุฏูŠุฏ ูุชุฑุฉ ุฃูˆ ููŠ ูุชุฑุฉ
1164
+
1165
+ 335
1166
+ 00:30:21,950 --> 00:30:26,850
1167
+ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ ูุชุฑุฉ ุฃูˆ ููŠ ูุชุฑุฉุŒ ูŠุญุชุงุฌ
1168
+
1169
+ 336
1170
+ 00:30:26,850 --> 00:30:27,230
1171
+ ุฅู„ู‰ ุชุญุฏูŠุฏ ูุชุฑุฉ ุฃูˆ ููŠ ูุชุฑุฉุŒ ูŠุญุชุงุฌ ุฅู„ู‰
1172
+
1173
+ 337
1174
+ 00:30:27,230 --> 00:30:29,430
1175
+ ุชุญุฏูŠุฏ ูุชุฑุฉ ุฃูˆ ููŠ ูุชุฑุฉุŒ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ
1176
+
1177
+ 338
1178
+ 00:30:29,430 --> 00:30:36,750
1179
+ ูุชุฑุฉ ุฃูˆ ููŠ ูุชุฑุฉุŒ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ
1180
+
1181
+ 339
1182
+ 00:30:39,420 --> 00:30:45,840
1183
+ ู…ู‚ุงุฑู†ุฉ ุชุฌุงุฑูŠุฉ ุญูˆู„ ู…ูŠูˆ ุงู„ุชูŠ ุณุชุญุชูˆูŠ 95% ู…ู† ู…ุตุงุฏุฑ
1184
+
1185
+ 340
1186
+ 00:30:45,840 --> 00:30:57,580
1187
+ ุงู„ูˆุซูŠู‚ุฉุŒ ูŠุนู†ูŠ ุจุฏู†ุง ู…ู‚ุงุฑู†ุฉ 95%
1188
+
1189
+ 341
1190
+ 00:30:57,580 --> 00:31:08,440
1191
+ 95% ู…ู† ู…ุตุงุฏุฑ ุงู„ูˆุซูŠู‚ุฉุŒ ูŠุนู†ูŠ ุนู†ุฏู…ุง ู…ูŠูˆ ูŠูƒูˆู† 368
1192
+
1193
+ 342
1194
+ 00:31:09,510 --> 00:31:21,330
1195
+ ุณูŠุฌู…ุง 15 ูˆู…ุฌู…ูˆุนู‡ 25ุŒ ุฏุนูˆู†ุง
1196
+
1197
+ 343
1198
+ 00:31:21,330 --> 00:31:29,010
1199
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… 95 ุงุชุตุงู„ ู…ุคูƒุฏุŒ ู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐุง
1200
+
1201
+ 344
1202
+ 00:31:29,010 --> 00:31:38,570
1203
+ ุงู„ู†ู‚ุทุฉ ูˆู‡ูˆ ู†ู‚ุทุฉ ุฃุฎุฑู‰ุŒ z scoreุŒ x bar minus the
1204
+
1205
+ 345
1206
+ 00:31:38,570 --> 00:31:48,590
1207
+ mean divided by sigma over square root of nุŒ ู„ุฐู„ูƒ
1208
+
1209
+ 346
1210
+ 00:31:48,590 --> 00:31:51,450
1211
+ ู†ุจุญุซ ุนู† ู…ู‚ุงุทุน ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ
1212
+
1213
+ 347
1214
+ 00:31:51,450 --> 00:31:52,290
1215
+ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ
1216
+
1217
+ 348
1218
+ 00:31:52,290 --> 00:31:52,710
1219
+ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ
1220
+
1221
+ 349
1222
+ 00:31:52,710 --> 00:31:54,810
1223
+ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ
1224
+
1225
+ 350
1226
+ 00:31:54,810 --> 00:31:54,830
1227
+ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ
1228
+
1229
+ 351
1230
+ 00:31:54,830 --> 00:32:07,150
1231
+ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ ู…ุชุณุงูˆูŠุฉ
1232
+
1233
+ 352
1234
+ 00:32:08,560 --> 00:32:13,540
1235
+ ุงุถุฑุจ ุถุฑุจ ุชุจุงุฏู„ูŠุŒ cross multiplicationุŒ x-x bar-mu
1236
+
1237
+ 353
1238
+ 00:32:13,540 --> 00:32:20,420
1239
+ equals z sigma over square root of nุŒ ู…ุธุจูˆุท ุถุฑุจ
1240
+
1241
+ 354
1242
+ 00:32:20,420 --> 00:32:27,080
1243
+ ุชุจุงุฏู„ูŠุŒ x bar-mu equals z sigma over square root of
1244
+
1245
+ 355
1246
+ 00:32:27,080 --> 00:32:34,570
1247
+ nุŒ ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ุŒ x bar ู…ุด ุจุชุณุงูˆูŠ mu plus z ุณูŠุฌู…ุง
1248
+
1249
+ 356
1250
+ 00:32:34,570 --> 00:32:36,070
1251
+ ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ
1252
+
1253
+ 357
1254
+ 00:32:36,070 --> 00:32:38,430
1255
+ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง
1256
+
1257
+ 358
1258
+ 00:32:38,430 --> 00:32:48,130
1259
+ ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ
1260
+
1261
+ 359
1262
+ 00:32:48,130 --> 00:32:50,490
1263
+ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง
1264
+
1265
+ 360
1266
+ 00:32:50,490 --> 00:32:51,690
1267
+ ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง
1268
+
1269
+ 361
1270
+ 00:32:51,690 --> 00:32:53,710
1271
+ ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง
1272
+
1273
+ 362
1274
+ 00:32:53,710 --> 00:33:02,850
1275
+ ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง
1276
+
1277
+ 363
1278
+ 00:33:02,850 --> 00:33:08,930
1279
+ ุฃูˆ ุณูŠุฌู…ุงุŒ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุจู…ุง ุฃู† ุงู„ุงู†ุชูุงู„ ูŠุญุชูˆูŠ ุนู„ู‰ 95%
1280
+
1281
+ 364
1282
+ 00:33:08,930 --> 00:33:11,870
1283
+ ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉุŒ 5% ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉ
1284
+
1285
+ 365
1286
+ 00:33:11,870 --> 00:33:13,650
1287
+ ุณุชูƒูˆู† ุฎุงุฑุฌู‡ุง.
1288
+
1289
+ 366
1290
+ 00:33:19,490 --> 00:33:22,670
1291
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ ZุŸ
1292
+
1293
+ 367
1294
+ 00:33:27,400 --> 00:33:32,340
1295
+ look at the tableุŒ in the body of the table at the
1296
+
1297
+ 368
1298
+ 00:33:32,340 --> 00:33:39,140
1299
+ value of 2.5ุŒ means we are looking for 0.25ุŒ ุทู„ุน
1300
+
1301
+ 369
1302
+ 00:33:39,140 --> 00:33:45,340
1303
+ ุงู„ุฌุฏูˆู„ ุนู„ู‰ ุงู„ู€ 0.25ุŒ ุทู„ุน ุงู„ุฌุฏูˆู„ุŒ ุงู„ุฌุฏูˆู„ุŒ ุชุจู‚ู‰ ุงู„ู€ z
1304
+
1305
+ 370
1306
+ 00:33:45,340 --> 00:33:50,820
1307
+ negativeุŒ ุฃูƒูŠุฏ ู„ุฃู†ู‡ ู‚ูŠู…ุฉ ุตุบูŠุฑุฉุŒ ุฅูŠุด ุจูŠุทู„ุน ุงู„ z score
1308
+
1309
+ 371
1310
+ 00:33:50,820 --> 00:33:52,760
1311
+ ุงู„ z ุงู„ู…ู‚ุงุจู„ ู„ู‡ุง
1312
+
1313
+ 372
1314
+ 00:33:56,270 --> 00:34:11,590
1315
+ ู…ุงุฐุง ูŠุนู†ูŠ Z value ุนู†ุฏ 0.25ุŸ 1
1316
+
1317
+ 373
1318
+ 00:34:11,590 --> 00:34:18,530
1319
+ .96
1320
+
1321
+ 374
1322
+ 00:34:22,930 --> 00:34:29,790
1323
+ ุทุจุนุง ุจุฏูˆุฑ ุนู„ู‰ 0 to 5ุŒ ู‡ุงูŠ ุงู„ 0 to 5 ุฏู‡ ุฅูŠุด ุจูŠุทู„ุน
1324
+
1325
+ 375
1326
+ 00:34:29,790 --> 00:34:37,750
1327
+ ุงู„ุฌูˆุงุจุŸ negativeุŒ negative one nine under sixุŒ so this
1328
+
1329
+ 376
1330
+ 00:34:37,750 --> 00:34:42,630
1331
+ value is negative one point nine sixุŒ ุงู„ู„ูŠ ุนู„ู‰
1332
+
1333
+ 377
1334
+ 00:34:42,630 --> 00:34:50,850
1335
+ ุงู„ุดู…ุงู„ ูˆุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู†ูุณู‡ุง ูˆุงุญุฏุฉ
1336
+
1337
+ 378
1338
+ 00:34:50,850 --> 00:34:55,380
1339
+ ู…ูˆุฌุจุฉ ุจูˆุงุญุฏุฉ ุณุงู„ุจุฉุŒ ุฅุฐุง ุจุฏูˆุฑ ุนู„ู‰ 0.5 ููŠ ุงู„ู€ table ุฌูˆุง
1340
+
1341
+ 379
1342
+ 00:34:55,380 --> 00:35:01,120
1343
+ ุฅุฐุง
1344
+
1345
+ 380
1346
+ 00:35:01,120 --> 00:35:03,700
1347
+ from the standardized normal tableุŒ the z score
1348
+
1349
+ 381
1350
+ 00:35:03,700 --> 00:35:10,880
1351
+ will with 2.5 below it is negative 1.96 and above
1352
+
1353
+ 382
1354
+ 00:35:10,880 --> 00:35:16,560
1355
+ it is 1.96ุŒ now
1356
+
1357
+ 383
1358
+ 00:35:16,560 --> 00:35:19,460
1359
+ let's see how can we calculate the lower limit
1360
+
1361
+ 384
1362
+ 00:35:23,700 --> 00:35:28,460
1363
+ ู„ูˆ ุจุฏูŠ ุงุญุณุจ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ุŒ ู‡ูŠ ู†ุณู…ูŠู‡ุง X bar
1364
+
1365
+ 385
1366
+ 00:35:28,460 --> 00:35:35,180
1367
+ lowerุŒ L stands for lower limit equals
1368
+
1369
+ 386
1370
+ 00:35:35,180 --> 00:35:40,360
1371
+ ุจุชุทู„ุน ุงู„ X bar ุงู„ู„ูŠ ู‡ู†ุงุŒ X
1372
+
1373
+ 387
1374
+ 00:35:40,360 --> 00:35:49,820
1375
+ bar lowerุŒ ูˆู‡ูŠ ุจุชุทู„ุน X bar upperุŒ ุงู„ู‚ุงู†ูˆู† ู‡ูŠ Mu plus
1376
+
1377
+ 388
1378
+ 00:35:49,820 --> 00:35:55,710
1379
+ Z Sigma over square root of MุŒ ุงู„ู„ูŠ ู…ุด ุณูˆู‰ ุงู„ู€ 368
1380
+
1381
+ 389
1382
+ 00:35:55,710 --> 00:36:06,330
1383
+ ุงู„ู€ z ุฅูŠุด ุณุงูˆูŠ ุนู†ุฏูŠุŸ negative 1.96 ูˆุงู„ sigma 15
1384
+
1385
+ 390
1386
+ 00:36:06,330 --> 00:36:11,150
1387
+ ุนู„ู‰ square root of 25ุŒ ู…ุฑุฉ ุซุงู†ูŠุฉ ู†ุทู„ุน ุงู„ x bar ู„ู„
1388
+
1389
+ 391
1390
+ 00:36:11,150 --> 00:36:16,110
1391
+ lower limitุŒ ู‡ุงูŠ ุงู„ู‚ูˆุงู†ูŠู† ุชุจุน ุงู„ x barุŒ ู…ูŠูˆ ุจู„ุณ ุฒูŠ
1392
+
1393
+ 392
1394
+ 00:36:16,110 --> 00:36:23,230
1395
+ sigma over square root of nุŒ ู…ูŠูˆ 368ุŒ z -196ุŒ ุณูŠุฌู…ุง 15
1396
+
1397
+ 393
1398
+ 00:36:23,230 --> 00:36:28,310
1399
+
1400
+ 431
1401
+ 00:39:14,380 --> 00:39:18,000
1402
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1403
+
1404
+ 432
1405
+ 00:39:18,000 --> 00:39:22,580
1406
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1407
+
1408
+ 433
1409
+ 00:39:22,580 --> 00:39:23,680
1410
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1411
+
1412
+ 434
1413
+ 00:39:23,680 --> 00:39:23,740
1414
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1415
+
1416
+ 435
1417
+ 00:39:23,740 --> 00:39:35,160
1418
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1419
+
1420
+ 436
1421
+ 00:39:35,160 --> 00:39:42,040
1422
+ ุนูˆุงุถุญ ู„ุฃู† ู‡ู†ุดุชุบู„ ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ how can we determine
1423
+
1424
+ 437
1425
+ 00:39:42,040 --> 00:39:45,420
1426
+ the sample distribution of the sample mean if the
1427
+
1428
+ 438
1429
+ 00:39:45,420 --> 00:39:48,480
1430
+ population is not normal ูŠุนู†ูŠ ู†ูุณ ุดุบู„ู†ุง ุงู„ู„ูŠ
1431
+
1432
+ 439
1433
+ 00:39:48,480 --> 00:39:53,340
1434
+ ุฃุฎุฏู†ุงู‡ ุงู„ูŠูˆู… ุจุณ ู„ูˆ ูƒุงู† ุงู„ุชูˆุฒูŠุน ู…ุงู„ู‡ ู…ุด normal ุฎู„ุงุต
1435
+
1436
+ 440
1437
+ 00:39:53,340 --> 00:39:54,940
1438
+ that's all
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/87bJotKuFBM_postprocess.srt ADDED
@@ -0,0 +1,1760 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,110 --> 00:00:24,690
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…. ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ุจุฏุฃ
4
+
5
+ 2
6
+ 00:00:24,690 --> 00:00:31,890
7
+ ุจู‚ุตุฉ ุฌุฏูŠุฏุฉ. ุงู„ู‚ุตุฉ ุงู„ุณุงุฏุณุฉ ุชุชูƒู„ู… ุนู† ู…ูˆุถูˆุน ุฌุฏูŠุฏ.
8
+
9
+ 3
10
+ 00:00:33,210 --> 00:00:34,630
11
+ ุชุชูƒู„ู… ุนู† ู…ุฌู…ูˆุนุฉ ุงู„ุชุฌุงุฑุจ.
12
+
13
+ 4
14
+ 00:00:58,240 --> 00:01:05,180
15
+ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ ุงู„ุชูˆุฒูŠุนุงุช ุงู„ู…ุนูŠู†ุฉ in this chapter
16
+
17
+ 5
18
+ 00:01:05,180 --> 00:01:11,220
19
+ there are three objectives the first one talks
20
+
21
+ 6
22
+ 00:01:11,220 --> 00:01:16,220
23
+ about the concept of the semi distribution what
24
+
25
+ 7
26
+ 00:01:16,220 --> 00:01:21,290
27
+ does semi distribution meanุงู„ุซุงู†ูŠ ู‡ูˆ ุชุฌุงุฑุจ
28
+
29
+ 8
30
+ 00:01:21,290 --> 00:01:26,190
31
+ ุงู„ูˆุงู‚ุนุงุช ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ูˆู…ู‚ุงุฑู†ุฉ
32
+
33
+ 9
34
+ 00:01:26,190 --> 00:01:28,610
35
+ ุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ุŒ ู„ุฐู„ูƒ ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ูŠุญุชูˆูŠ ุนู„ู‰
36
+
37
+ 10
38
+ 00:01:28,610 --> 00:01:33,930
39
+ ุงุชุตุงู„ูŠู† ูƒุชุฑ ุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ุงู„ูˆุงู‚ุนุงุช ุงู„ู…ุฑุชุจุทุฉ
40
+
41
+ 11
42
+ 00:01:33,930 --> 00:01:39,870
43
+ ุจุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ุฃูˆ ู…ู‚ุงุฑู†ุฉ ุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉุŸ
44
+
45
+ 12
46
+ 00:01:39,870 --> 00:01:49,100
47
+ ุงู„ู‡ุฏู ุงู„ุซุงู„ุซ ุงู„ู‡ุฏู ุงู„ุซุงู„ุซ ูŠุชุญุฏุซ ุนู† ู…ู‡ู…ุฉุงู„ุซูˆุฑุฉ
48
+
49
+ 13
50
+ 00:01:49,100 --> 00:01:53,480
51
+ ุงู„ุฌุฏูŠุฏุฉ ุงุณู…ู‡ุง ุงู„ู€ Central Limit Theorem ุณูˆู ู†ุชูƒู„ู…
52
+
53
+ 14
54
+ 00:01:53,480 --> 00:02:01,780
55
+ ุนู† ุงู„ู‡ุฏู ุงู„ุฃูˆู„ ูˆุดุฎุตูŠุฉ ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุจุฏุฃ
56
+
57
+ 15
58
+ 00:02:01,780 --> 00:02:07,860
59
+ ุจุงู„ู…ุดุงุฑูƒุงุช ุงู„ู…ุฑุชุจุทุฉ ุงู„ุฃุณุงุณูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู„ุฏูŠูƒ
60
+
61
+ 16
62
+ 00:02:07,860 --> 00:02:12,600
63
+ ุทุงู„ุจ ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุฎู…ุณูŠู† ุทุงู„ุจ
64
+
65
+ 17
66
+ 00:02:20,010 --> 00:02:27,850
67
+ ูˆุงู†ุง ู…ู‡ุชู… ุจุงู„ุฌุจู‡ุฉ ุงู„ูˆุญูŠุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุทู„ุงุจ ู†ุจุญุซ ุนู†
68
+
69
+ 18
70
+ 00:02:27,850 --> 00:02:39,270
71
+ ุฌุจู‡ุฉ ุฌุจู‡ุฉ ุฌุจู‡ุฉ ุฌุจู‡ุฉ ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ
72
+
73
+ 19
74
+ 00:02:44,850 --> 00:02:49,110
75
+ ุงุณู…ู‡ GPA graduate point average ู…ุน ุงู„ู…ุนุงุฏู„ุฉ
76
+
77
+ 20
78
+ 00:02:49,110 --> 00:02:56,890
79
+ ุงู„ุชุฑุงูƒู… ู„ู„ุทุงู„ุจ ุงู„ scale ุชุจุนู‡ ู†ู‚ุงุท ู…ุนูŠู†ุฉ and
80
+
81
+ 21
82
+ 00:02:56,890 --> 00:02:59,310
83
+ suppose we are interested in the mean GPA
84
+
85
+ 22
86
+ 00:03:08,390 --> 00:03:11,110
87
+ ุฅุฐุง ุญุตู„ุช ุนู„ู‰ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุฃุฌู‡ุฒุฉ ู…ุฎุชู„ูุฉ ุจุญุฌู… 50
88
+
89
+ 23
90
+ 00:03:11,110 --> 00:03:15,830
91
+ ุณุชู‚ูˆู… ุจุชู‚ุงุท ู…ุฎุชู„ูุฉ ุฃุฌู‡ุฒุฉ ู…ุนูŠู†ุฉ ู„ูƒู„ ุฃุฌู‡ุฒุฉ ู„ุฃู† ุงูุชุฑุถ
92
+
93
+ 24
94
+ 00:03:15,830 --> 00:03:21,870
95
+ ุฃุฎุฏ ุฎู…ุณูŠู† student
96
+
97
+ 25
98
+ 00:03:21,870 --> 00:03:28,370
99
+ number one maybe his or her score is 3.5 the
100
+
101
+ 26
102
+ 00:03:28,370 --> 00:03:32,930
103
+ second student maybe 4 the third maybe 2.6 and so
104
+
105
+ 27
106
+ 00:03:32,930 --> 00:03:39,540
107
+ on ุงูุชุฑุถ ุงู† ุงู†ุง ู„ุฏูŠ ู‡ุฐู‡ ุงู„ุฃุฌู‡ุฒุฉ ุจุญุฌู… 50ูˆู‡ุฐู‡ ู…ู‚ุงุฑู†ุฉ
108
+
109
+ 28
110
+ 00:03:39,540 --> 00:03:46,440
111
+ ูู‚ุท ูŠุนู†ูŠ ุฎุฏ ุฏุฑุฌุฉ ุงู„ุทู„ุงุจ ู…ู† ุฃุฑุจุนุฉ ู„ุฎู…ุณูŠู† ุทุงู„ุจ ูˆุทู„ุนุช
112
+
113
+ 29
114
+ 00:03:46,440 --> 00:03:52,340
115
+ ุงู„ average ู„ู‡ู… ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง
116
+
117
+ 30
118
+ 00:03:52,340 --> 00:03:55,480
119
+ ูู…ุซู„ู‹ุง
120
+
121
+ 31
122
+ 00:03:55,480 --> 00:04:02,500
123
+ ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง
124
+
125
+ 32
126
+ 00:04:04,940 --> 00:04:07,740
127
+ ุฃุฎุฏุช ุนูŠู†ุฉ ุญุฌู…ู‡ุง 50 ุซุงู†ูˆูŠุฉ ูƒู„ ูˆุงุญุฏ ู…ุด ู…ุนุฏู„ุฉ ูˆ
128
+
129
+ 33
130
+ 00:04:07,740 --> 00:04:13,040
131
+ ุฃุนุทุงู†ูŠู‡ุง ุทู„ุนุช ุงู„ average ุฃุฎุฏุช sample ุชุงู†ูŠุฉ ู‡ุฐู‡ ุงู„
132
+
133
+ 34
134
+ 00:04:13,040 --> 00:04:17,120
135
+ sample number one another
136
+
137
+ 35
138
+ 00:04:17,120 --> 00:04:24,300
139
+ sample of the same size ู…ู…ูƒู† ุงู„ุฃูˆู„ ูŠูƒูˆู† 2.6 ู…ู…ูƒู†
140
+
141
+ 36
142
+ 00:04:24,300 --> 00:04:30,560
143
+ ุงู„ุชุงู†ูŠ ูŠูƒูˆู† 3.6 ู…ู…ูƒู† 4 ู…ู…ูƒู† 2.9 and so on ุฃูƒูŠุฏ ู„ูˆ
144
+
145
+ 37
146
+ 00:04:30,560 --> 00:04:32,840
147
+ ุฃุฎุฏุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ู…ุด ุจุงู„ุถุฑุฑ ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ average ู…ุด
148
+
149
+ 38
150
+ 00:04:32,840 --> 00:04:37,380
151
+ ู‡ูŠูƒุŸูŠุนู†ูŠ ู„ูˆ ุฃุฎุฏุช ุนูŠู†ุฉ ู…ู†ูƒู… ุจู€ size 20 ูˆ ุทู„ุนุช
152
+
153
+ 39
154
+ 00:04:37,380 --> 00:04:43,240
155
+ ู…ุนุฏู„ูƒู… ุทู„ุน ู†ูุทุฑุช 75 ู„ูˆ ุฃุฎุฏุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ุจู†ูุณ ุงู„ุญุฌู…
156
+
157
+ 40
158
+ 00:04:43,240 --> 00:04:48,960
159
+ ู…ุด ุจุฏู„ู†ุง ู†ุนุทูŠ 75 ูู…ู…ูƒู† ูŠุนุทูŠ average ู…ุฎุชู„ู ูˆูŠู‚ูˆู„ 3
160
+
161
+ 41
162
+ 00:04:48,960 --> 00:05:00,880
163
+ .2 ู„ูˆ ุฃุฎุฏุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ูˆ ุชุงู„ุชุฉ ูˆ ุฃุฎุฏุช 100 ุนูŠู†ุฉ ุฃูƒูŠุฏ
164
+
165
+ 42
166
+ 00:05:00,880 --> 00:05:01,600
167
+ ู‡ุชุนุทูŠู†ูŠ
168
+
169
+ 43
170
+ 00:05:04,320 --> 00:05:08,640
171
+ ู…ุด ุจุชุถุฑุฑ ู†ูุณ ุงู„ู€means ู‡ุฏูˆู„ ู…ู…ูƒู† ุชู‚ุน ุช 3.6 for
172
+
173
+ 44
174
+ 00:05:08,640 --> 00:05:12,500
175
+ example ูุฅุฐุง
176
+
177
+ 45
178
+ 00:05:12,500 --> 00:05:15,340
179
+ ุญุตู„ู†ุง ุนู„ู‰ ุนุฏูŠุฏ ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ
180
+
181
+ 46
182
+ 00:05:15,340 --> 00:05:15,980
183
+ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ
184
+
185
+ 47
186
+ 00:05:15,980 --> 00:05:23,480
187
+ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ
188
+
189
+ 48
190
+ 00:05:23,480 --> 00:05:29,940
191
+ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„
192
+
193
+ 49
194
+ 00:05:29,940 --> 00:05:31,120
195
+ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ
196
+
197
+ 50
198
+ 00:05:34,550 --> 00:05:40,930
199
+ of the means ู…ู‡ุชู… ุจุชูˆุฒูŠุน ุงู„ู…ุชูˆุณุทุงุช ู‡ุฏูˆู„ ุงู„ู„ูŠ ู‡ู… 3
200
+
201
+ 51
202
+ 00:05:40,930 --> 00:05:47,590
203
+ .3 ูˆ3.2 ูˆ3.6 for example ุฅุฐุง ุฃู†ุง ุฃุฎุฏุช ู‡ุฏูˆู„ ุนุงูŠุฒ
204
+
205
+ 52
206
+ 00:05:47,590 --> 00:05:53,250
207
+ ุฃุนุฑู ุฅูŠุด ุงู„ distribution ุงู„ู„ูŠ ู„ู‡ู… ุงู„ููƒุฑุฉ ู‡ุฐู‡ ู‡ุฎุฏู‡ุง
208
+
209
+ 53
210
+ 00:05:53,250 --> 00:05:58,850
211
+ ู…ุซู„ู‹ุง ุจุจุณูŠุท suppose we have a population of size 7
212
+
213
+ 54
214
+ 00:05:58,850 --> 00:06:03,610
215
+ of 4 population size just for example 4 people
216
+
217
+ 55
218
+ 00:06:06,300 --> 00:06:13,180
219
+ ุฃุฎุฏู†ุง n equals four. Suppose we are interested in
220
+
221
+ 56
222
+ 00:06:13,180 --> 00:06:19,780
223
+ the age of these four students. Now suppose the
224
+
225
+ 57
226
+ 00:06:19,780 --> 00:06:25,160
227
+ values of x are the age of the first one is 18,
228
+
229
+ 58
230
+ 00:06:25,860 --> 00:06:33,370
231
+ the second 20, then we have 22 and 24.ู…ุซู„ู‹ุงุŒ ู†ุญู†
232
+
233
+ 59
234
+ 00:06:33,370 --> 00:06:40,730
235
+ ู„ุฏูŠู†ุง ู…ุฌุชู…ุน ุตูุฑ 4 ูˆู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ู…ุฑุถ ู„ู‡ุฐู‡ ุงู„ุตูุฑ 4
236
+
237
+ 60
238
+ 00:06:40,730 --> 00:06:45,670
239
+ ุฅุฐุง ุงุญู†ุง ู„ุฏูŠู†ุง ู…ุฌุชู…ุน ุญุฌู…ู‡ ุฃุฑุจุนุฉ ู…ู‡ุชู… ุจุงู„ุนู…ุฑ ูˆู‡ูŠ
240
+
241
+ 61
242
+ 00:06:45,670 --> 00:06:53,510
243
+ ุงู„ุนู…ุฑ ุชุจุนุชู†ุง 18ุŒ 20ุŒ 22ุŒ 24 ุณุฃุฎุฑุฌ ุงู„ู…ูŠู† ู„ู‡ู… ุงู„ู…ูŠู†
244
+
245
+ 62
246
+ 00:06:53,510 --> 00:06:58,630
247
+ ู„ุฌู…ู‡ูˆุฑ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฌู…ู‡ูˆุฑ ุงู„ู…ุฌุชู…ุน ุชุนุฑูŠู ุงู„ู…ูŠู† ุฃุจุงุฑุน
248
+
249
+ 63
250
+ 00:06:58,630 --> 00:06:59,410
251
+ ุนู† ุฅูŠู‡ุŸ
252
+
253
+ 64
254
+ 00:07:01,920 --> 00:07:12,880
255
+ X ุนู„ู‰ ุนุฏุฏู‡ ู…ุดูŠูƒ ู„ูˆ ุฌู…ุนุช ุงู„ 18 ุงู„ 20 ุงู„ 22 ุงู„ 24 ูˆ
256
+
257
+ 65
258
+ 00:07:12,880 --> 00:07:17,920
259
+ ุฌุณู…ุช ุนู„ู‰ ุนุฏุฏู‡ู… ุฌูˆุงุจ ูˆุงุญุฏ ุนุดุงู† ุงู„ู…ูŠู† ุงู„ุนุงุฏู‰ ุงู„ู„ูŠ
260
+
261
+ 66
262
+ 00:07:17,920 --> 00:07:23,180
263
+ ุจูŠุณู…ูŠู‡ population mean ูˆ ุจุทู„ุน ุณูŠุฌู…ุงุŒ ุณูŠุฌู…ุง ุนุจุงุฑุฉ
264
+
265
+ 67
266
+ 00:07:23,180 --> 00:07:28,500
267
+ ุนู† ุงูŠุดุŸ ุงู„ู„ูŠ ู‡ูŠ population standard deviation ุงู„
268
+
269
+ 68
270
+ 00:07:28,500 --> 00:07:34,330
271
+ definition ุชุจุนู‡ุง X minus ุงู„ meanover n this
272
+
273
+ 69
274
+ 00:07:34,330 --> 00:07:37,930
275
+ quantity squared because ุจุงุฎุฏ square root of sum x
276
+
277
+ 70
278
+ 00:07:37,930 --> 00:07:40,390
279
+ minus mean square over n ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู‚ุจู„ ู‡ูŠูƒ
280
+
281
+ 71
282
+ 00:07:40,390 --> 00:07:49,790
283
+ chapter 3 ู„ูˆ ุญุณุจุชูŠู‡ุง ุจุฑุงุญุชูƒ ุงู„ุฌูˆุง 2.236 ุฅุฐุง
284
+
285
+ 72
286
+ 00:07:49,790 --> 00:07:54,870
287
+ ุงู„ mean ู„ู„ population ูƒู„ู‡ ุทู„ุน 21 ูˆ ุงู„ sigma ู„ู„
288
+
289
+ 73
290
+ 00:07:54,870 --> 00:08:00,930
291
+ population ูƒู„ู‡ ุทู„ุน 2.236 ู„ูˆ ุจุฏุฑุณู‡ู… ุงู„ values ู‡ุฏูˆู„
292
+
293
+ 74
294
+ 00:08:00,930 --> 00:08:08,180
295
+ ุงู„ x18-18-22-24 ู…ุน ุงู„ proportion ู…ุน ุงู„ B ุชุจุนุชู‡ู…
296
+
297
+ 75
298
+ 00:08:08,180 --> 00:08:13,980
299
+ ูŠุฏุฑุด ุงู„ู†ุณุจุฉ ุชุจุนุชู‡ู… ุงู„ุทู…ู†ุชุงุด ุฃูƒู… ูˆุงุญุฏ ุทู…ู†ุชุงุด ุนู…ุฑู‡
300
+
301
+ 76
302
+ 00:08:13,980 --> 00:08:19,890
303
+ ูˆุงุญุฏ ู…ุธุจูˆุท ุดุฎุต ูˆุงุญุฏ ุงูŠุด ู†ุณุจุฉ ุจู†ุณุจุฉ ุงู„ุฃุฑุจุนุฉุŸุฑุจุนุฉ
304
+
305
+ 77
306
+ 00:08:19,890 --> 00:08:26,990
307
+ ูŠุนู†ูŠ 25% ุฅุฐุง ุฃูˆู„ ูˆุงุญุฏ ู†ุณูุท 25% ุทุจ ุงู„ู‚ูŠู…ุฉ 20 ูƒู… ู…ุฑุฉ
308
+
309
+ 78
310
+ 00:08:26,990 --> 00:08:33,450
311
+ ู…ุชูƒุฑุฑุฉ ู…ุฑุฉ ุจุฑุฏุด ุจุทู„ุน 25 ูˆ ุงู„ุชุงู„ุชุฉ 25 ูˆ ุงู„ุฑุงุจุนุฉ 25
312
+
313
+ 79
314
+ 00:08:33,450 --> 00:08:40,150
315
+ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ูƒู„ู‡ู… ุฒูŠ ุจุนุถ ูˆุงุถุญ ู‡ุฐุง ุฅูŠุด ุจู†ุณู…ูŠู‡ uniform
316
+
317
+ 80
318
+ 00:08:40,150 --> 00:08:47,330
319
+ distribution ูŠุนู†ูŠ
320
+
321
+ 81
322
+ 00:08:47,330 --> 00:08:53,760
323
+ ุงู„ X ุทู„ุน ู„ู‡ุงุจู†ุณู…ูŠ ุงู„ุชูˆุฒูŠุน ู…ูู†ุทู„ูŽุจ
324
+
325
+ 82
326
+ 00:08:53,760 --> 00:09:00,220
327
+ ุฅุญู†ุง ู…ู‡ุชู…ูŠู† ู…ุด ุจุงู„ุฅูƒุณุงุช ุฏูˆู„ ู…ู‡ุชู…ูŠู† ุจุงู„ู€
328
+
329
+ 83
330
+ 00:09:00,220 --> 00:09:07,020
331
+ distribution ู„ู…ู†ุŸ ู„ู€ means ูƒู„ู‡ู… ุฅุฐุง ู†ูุชุฑุถ ุฃู† ุฃุฎุฏ
332
+
333
+ 84
334
+ 00:09:07,020 --> 00:09:12,620
335
+ sample size just
336
+
337
+ 85
338
+ 00:09:12,620 --> 00:09:17,560
339
+ for example ุณู†ุฎุฏุฑ all possible samples of size n
340
+
341
+ 86
342
+ 00:09:17,560 --> 00:09:21,960
343
+ equal to oneุจุชุงุฎุฏ ุงู„ุนูŠู†ุงุช ู„ุญุฌู…ู‡ุง ุงุชู†ูŠู† ูุจุชุงุฎุฏ ูƒู„
344
+
345
+ 87
346
+ 00:09:21,960 --> 00:09:26,940
347
+ ุนูŠู†ุง ุญุฌู…ู‡ุง ุงุชู†ูŠู† ุจุณ ุงุฐุง ุจุชุงุฎุฏ ุงู„ size equal ุงุชู†ูŠู†
348
+
349
+ 88
350
+ 00:09:26,940 --> 00:09:40,460
351
+ ุงู„ values ู…ู† ุงู„ุงุตู„ ูƒู„ู…ุฉ 18 20 22 24 ู‡ุงุฎุฏ
352
+
353
+ 89
354
+ 00:09:40,460 --> 00:09:45,120
355
+ ุฏู‡ ู…ุน repetition ู…ุน ุงู„ุชูƒุฑุงุฑ ูู‡ุงุฎุฏ ุงู„ 18 ู…ุน ุงู„ 18
356
+
357
+ 90
358
+ 00:09:46,640 --> 00:09:49,960
359
+ ุฃู†ุง ุญูƒูŠุช size 2 ู…ุด checkุŸ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
360
+
361
+ 91
362
+ 00:09:49,960 --> 00:09:51,240
363
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
364
+
365
+ 92
366
+ 00:09:51,240 --> 00:09:52,960
367
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
368
+
369
+ 93
370
+ 00:09:52,960 --> 00:09:55,560
371
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
372
+
373
+ 94
374
+ 00:09:55,560 --> 00:10:02,540
375
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
376
+
377
+ 95
378
+ 00:10:02,540 --> 00:10:02,700
379
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ๏ฟฝ๏ฟฝุนู…ุŒ ู†ุนู…ุŒ
380
+
381
+ 96
382
+ 00:10:02,700 --> 00:10:04,060
383
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
384
+
385
+ 97
386
+ 00:10:04,060 --> 00:10:10,380
387
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†
388
+
389
+ 98
390
+ 00:10:18,180 --> 00:10:21,820
391
+ ุฃู†ุง ุฃุฎุฏุช ูƒู„ ุงู„ samples of size 2 ุฃุฎุฏุช ูƒู„ ุงู„ 2 ู…ุน
392
+
393
+ 99
394
+ 00:10:21,820 --> 00:10:24,980
395
+ ุจุนุถ ูˆ ุงู„ tekrar ู…ูˆุฌูˆุฏ ุงู„ุฃูˆู„ ู…ุน ุงู„ุฃูˆู„ุŒ ุงู„ุฃูˆู„ ู…ุน
396
+
397
+ 100
398
+ 00:10:24,980 --> 00:10:29,180
399
+ ุงู„ุชุงู†ูŠุŒ ุงู„ุฃูˆู„ ู…ุน ุงู„ุชุงุฑูŠุซ ูˆ ูƒุฐุง ุฃู†ุง ู…ุด ู…ู‡ุชู… ุจู‡ุฏูˆู„ุŒ
400
+
401
+ 101
402
+ 00:10:29,180 --> 00:10:34,100
403
+ ู…ู‡ุชู… ุจู…ูŠู†ุŸ ุจุงู„ average ุชุจุนู‡ู…ุŒ ุจุงู„ู…ูŠู† ุชุจุนู‡ู… ู„ูˆ ุทู„ุนุช
404
+
405
+ 102
406
+ 00:10:34,100 --> 00:10:41,360
407
+ ุงู„ average ุฅู„ู‡ู… 18 ูˆ 18ุŒ ุฅูŠุด ุงู„ average ู„ู‡ุŸ 18 ูˆ
408
+
409
+ 103
410
+ 00:10:41,360 --> 00:10:51,330
411
+ 18 18 ูˆ 18ุŒ ู‡ูŠ ุงู„ 18 ุงู„ุฃูˆู„ู‰ุจุงู„ุชุงู„ูŠ 18 ูˆ 20 ูˆ ุจุนุฏูŠู†
412
+
413
+ 104
414
+ 00:10:51,330 --> 00:11:00,650
415
+ 18 ูˆ 22 ุนู…ู„ุชู…
416
+
417
+ 105
418
+ 00:11:00,650 --> 00:11:07,230
419
+ ูƒู„ู‡ู… ู‡ุฐูˆู„ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ means ูƒู„ ู…ุง ูƒุงู† ูˆุงุญุฏ 16
420
+
421
+ 106
422
+ 00:11:07,230 --> 00:11:15,210
423
+ ุงู„ู„ูŠ ุฃู†ุง ู…ู‡ุชู… ุฅูŠู‡ ู‡ูˆ ุงู„ means ุงู„ู„ูŠ ุทู„ุนูˆุง ุทู„ุน ุนู„ู‰
424
+
425
+ 107
426
+ 00:11:15,210 --> 00:11:15,790
427
+ ุงู„ุดุงุดุฉ ู‡ู†ุง
428
+
429
+ 108
430
+ 00:11:20,650 --> 00:11:26,790
431
+ ุฎู„ูŠู†ูŠ ุฃูƒุชุจ ุงู„ means ุฃูƒู… 18 ู…ูˆุฌูˆุฏุฉ ุฃูƒู… 18 ููŠ ู‡ุฏูˆู„ุŒ
432
+
433
+ 109
434
+ 00:11:26,790 --> 00:11:35,330
435
+ ูˆุงุญุฏุฉุŒ ู…ุธุจูˆุทุŸ ููŠ ุบูŠุฑู‡ุง ู„ุฃุŒ ูˆ 19 ูŠุนู†ูŠ ุฃูˆู„ ูˆุงุญุฏุฉ
436
+
437
+ 110
438
+ 00:11:35,330 --> 00:11:40,860
439
+ ุดูˆูุช 18, 19, 20 ูˆ ูƒุฐุงุŒ ุงู„ 18 ู…ุฑุฉ ูˆุงุญุฏุฉุจุนุฏูŠู† ู‡ูŠ
440
+
441
+ 111
442
+ 00:11:40,860 --> 00:11:49,440
443
+ ุงู„ุชุณุนุฉ ูˆ ุฃุชุงุดุฑ ุงู„ูˆุงุญุฏ
444
+
445
+ 112
446
+ 00:11:49,440 --> 00:11:54,260
447
+ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
448
+
449
+ 113
450
+ 00:11:54,260 --> 00:11:55,400
451
+ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู†
452
+
453
+ 114
454
+ 00:11:55,400 --> 00:11:55,980
455
+ ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ
456
+
457
+ 115
458
+ 00:11:55,980 --> 00:11:58,040
459
+ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ
460
+
461
+ 116
462
+ 00:11:58,040 --> 00:12:01,020
463
+ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
464
+
465
+ 117
466
+ 00:12:01,020 --> 00:12:03,380
467
+ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู†
468
+
469
+ 118
470
+ 00:12:03,380 --> 00:12:06,100
471
+ ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ
472
+
473
+ 119
474
+ 00:12:06,100 --> 00:12:06,740
475
+ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ
476
+
477
+ 120
478
+ 00:12:06,740 --> 00:12:11,920
479
+ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏูƒูŠู ุดูƒู„ู‡ู… ู„ูˆ ุจุฏู‰ ุงุนู…ู„ ูˆ ู‡ูŠูƒ
480
+
481
+ 121
482
+ 00:12:11,920 --> 00:12:20,680
483
+ ุงุนู…ู„ flip ู„ูˆ ุจุชุนู…ู„ูŠ flip around ุงู„ x axis ุดูƒู„ู‡
484
+
485
+ 122
486
+ 00:12:20,680 --> 00:12:26,800
487
+ ู„ูˆ ุงู†ุช ุนู…ู„ุชูŠู‡ ุฏูˆุฑุงู† ู‡ูŠูƒ ุงู„ู†ุงุญูŠุฉ
488
+
489
+ 123
490
+ 00:12:26,800 --> 00:12:30,260
491
+ ุฏู‰ ูŠุนู†ูŠ ุฎู„ูŠ ู‡ุฐุง ู‡ูŠูƒ ุงู„ vertical line ุฎู„ูŠู‡ุง
492
+
493
+ 124
494
+ 00:12:30,260 --> 00:12:36,000
495
+ horizontal ุงูŠุด ู…ุทู„ุน ุดูƒู„ู‡ู… ุฏู‡ ุฎูŠู†ุง ู†ุตูˆุง ู…ุน ุจุนุถ ุงู„
496
+
497
+ 125
498
+ 00:12:36,000 --> 00:12:41,860
499
+ 18 ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุธุจูˆุท ู‡ูŠ ุงู„ุฑุตุฏุงู„ู€ 18 ู…ุฑุฉุŒ ู…ุธุจูˆุทุŸ
500
+
501
+ 126
502
+ 00:12:41,860 --> 00:12:48,680
503
+ ุนุฏุฏู‡ู… ูƒู…ุŸ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
504
+
505
+ 127
506
+ 00:12:48,680 --> 00:12:50,160
507
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
508
+
509
+ 128
510
+ 00:12:50,160 --> 00:12:54,660
511
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
512
+
513
+ 129
514
+ 00:12:54,660 --> 00:12:57,820
515
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
516
+
517
+ 130
518
+ 00:12:57,820 --> 00:12:57,920
519
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
520
+
521
+ 131
522
+ 00:12:57,920 --> 00:13:03,080
523
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16
524
+
525
+ 132
526
+ 00:13:08,660 --> 00:13:13,200
527
+ ุงู„ุนุดุฑูŠู† ุชู„ุงุชุฉ ุงู„ูˆุงุญุฏ ูˆุนุดุฑูŠู† ุฃุฑุจุนุฉ ุจุนุฏูŠู† ุงูŠุด ุจูŠุจุฏุฃ
528
+
529
+ 133
530
+ 00:13:13,200 --> 00:13:20,120
531
+ ูŠู†ู‚ุต ูˆุงุญุฏ ูˆุงุญุฏ ู…ุด ู‡ูŠูƒ ุงู„ุงุชู†ูŠู† ูˆุนุดุฑูŠู† ุชู„ุงุชุฉ ุงู„ุชู„ุงุชุฉ
532
+
533
+ 134
534
+ 00:13:20,120 --> 00:13:24,920
535
+ ูˆุนุดุฑูŠู† ุงุชู†ูŠู† ูˆุงู„ุงุฑุจุน ูˆุนุดุฑูŠู† ูˆุงุญุฏ let's compare the
536
+
537
+ 135
538
+ 00:13:24,920 --> 00:13:29,980
539
+ graph for the sample means ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠู‡ ูˆุงู„ graph
540
+
541
+ 136
542
+ 00:13:29,980 --> 00:13:33,580
543
+ ุชุจุน ุงู„ individual values ู„ู…ุง ุฎุฏู†ุงู‡ู… ูƒู„ ู‚ูŠู… ู„ุญุงู„ุฉ
544
+
545
+ 137
546
+ 00:13:33,580 --> 00:13:40,550
547
+ ู…ุด ุทู„ุน ุงู„ุดูƒู„uniform ู„ู…ุง ุฎุฏู†ุง ุงู„ means ู‡ู„ ุดูƒู„ู‡
548
+
549
+ 138
550
+ 00:13:40,550 --> 00:13:45,210
551
+ uniformุŸ ู…ู†ุชุธู…ุŸ ู‡ู„ ูƒู„ู‡ู… ุฒูŠ ุจุนุถุŸ ุฑุญู„ุฉ ุจู†ุฏูˆุฑ ุนู„ูŠู‡ุง
552
+
553
+ 139
554
+ 00:13:45,210 --> 00:13:50,050
555
+ ุชู„ุงุช ุดุบู„ุงุช ุชุชุฐูƒุฑ ุฃูˆู„ ู„ู‚ุน ุญูƒูŠู†ุง ุนู„ูŠู‡ ุนุงูŠุฒูŠู† ุงู„
556
+
557
+ 140
558
+ 00:13:50,050 --> 00:13:58,210
559
+ center ูˆ ุงู„ spread ูˆ ุงู„ shape ุชู„ุงุช ุดุบู„ุงุช ูŠุนู†ูŠ ุฅูŠุด
560
+
561
+ 141
562
+ 00:13:58,210 --> 00:14:03,210
563
+ ู…ุนู†ู‰ centerุŸ ูŠุนู†ูŠ ุงู„ู…ุฑูƒุฒ ู„ู‡ู… ูŠุนู†ูŠ ุฅูŠุด ุงู„ mean ู„ู‡ู…
564
+
565
+ 142
566
+ 00:14:05,650 --> 00:14:09,590
567
+ ุฅุฐุง ุงู„ู€ Seminic distribution means we are looking
568
+
569
+ 143
570
+ 00:14:09,590 --> 00:14:18,790
571
+ for the center it means the mean spread ูˆ
572
+
573
+ 144
574
+ 00:14:18,790 --> 00:14:24,590
575
+ ุงู„ุดุจู‡ but we are interested in the Seminic
576
+
577
+ 145
578
+ 00:14:24,590 --> 00:14:27,790
579
+ distribution of the means ุจุนุฏ ูƒุฏู‡ ุนุงูŠุฒ ุงู„ู…ูŠู† ู„ู…ูŠู†
580
+
581
+ 146
582
+ 00:14:27,790 --> 00:14:35,790
583
+ ู„ู„ู…ูŠns ุงู„ู…ูŠู† ู„ู„ู…ูŠns ู‡ุฏูˆู„ูˆ ุงู„ spread ูŠุนู†ูŠ ุงู„
584
+
585
+ 147
586
+ 00:14:35,790 --> 00:14:40,650
587
+ standard deviation ู„ู…ูŠู†ุŸ ุจุฑุถู‡ ู„ู„ means ูˆ ุงู„ spread
588
+
589
+ 148
590
+ 00:14:40,650 --> 00:14:47,550
591
+ ู„ู„ู…ูŠู†ุŸ ู‡ุฏูˆู„ ุชู„ุงุชุฉ ุณุคุงู„ ู†ุฌุงูˆุจ ุนู„ูŠู‡ู… ุงู„ุงู† ูˆ ุทู„ุนู‡ู…
592
+
593
+ 149
594
+ 00:14:47,550 --> 00:14:54,070
595
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูุงู„ุฃูˆู„ ู‡ุทู„ุน ุงู„ mean ู„ู…ู†ุŸ ู„ ุงู„ means
596
+
597
+ 150
598
+ 00:14:54,070 --> 00:15:02,770
599
+ ูุฃูŠ meansุŸ ุงู„ means ู‡ุฏูˆู„ ุงู„ 18 ูˆ 19 ูˆ ู‡ูƒุฐุงูŠุนู†ูŠ ุงู†ุง
600
+
601
+ 151
602
+ 00:15:02,770 --> 00:15:11,910
603
+ ุงุฌู…ุญู‡ู… ู‡ูŠ 18 19 ูˆ ุงูƒู…ู„ ู„ุบุงูŠุฉ ุงุฎุฑ ูˆุงุญุฏ ุนู„ู‰ ูƒุฏู‡ุŸ 16
604
+
605
+ 152
606
+ 00:15:11,910 --> 00:15:21,010
607
+ ู„ูˆ ุฌู…ุนุชู‡ู… ูˆ ุฌุณู…ุชู‡ู… ุนู„ู‰ 16 ุทู„ุน 21 ุงุฐุง ุทู„ุน ุงู„ mean ู„
608
+
609
+ 153
610
+ 00:15:21,010 --> 00:15:26,670
611
+ ุงู„ means ุงูŠุด ุจูŠุณุงูˆูŠุŸ 11 ุงู„ู„ูŠ ู‡ูˆ ู†ูุณู‡ ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
612
+
613
+ 154
614
+ 00:15:26,670 --> 00:15:29,250
615
+ mean ู„ ู…ูŠู†ุŸ ู„ู„ population ู…ู…ุชุงุฒ ู‡ุฐุง ุงู„ mean ู„ู„
616
+
617
+ 155
618
+ 00:15:29,250 --> 00:15:31,850
619
+ population ู‡ุฐุง ุนุจุงุฑุฉ ุนู† population mean
620
+
621
+ 156
622
+ 00:15:36,710 --> 00:15:39,650
623
+ ุทู„ุน ุงู„ู€ mean ู„ู„ู€ sample ุงู„ู€ mean ู‡ูˆ ู†ูุณู‡ ุงู„
624
+
625
+ 157
626
+ 00:15:39,650 --> 00:15:45,250
627
+ population mean ุทุจ ุงุทู„ุนุช sigma x bar ุญุณุจ ุงู„ู‚ุงู†ูˆู†
628
+
629
+ 158
630
+ 00:15:45,250 --> 00:15:49,370
631
+ ุงู„ summation ุงู„ู„ูŠ
632
+
633
+ 159
634
+ 00:15:49,370 --> 00:15:57,250
635
+ ู‡ูˆ ุงู„ x bar ู†ู‚ุต ุงู„ mean ู„ู„ x bar ุนู„ู‰ n ู‡ูŠ ูƒุฏู‡
636
+
637
+ 160
638
+ 00:15:57,250 --> 00:16:02,370
639
+ ุจุชุทู„ุนู‡ู… ุฃูˆู„ mean ูƒุงู†ุช 18 ู…ุด ู‡ูŠ 18
640
+
641
+ 161
642
+ 00:16:04,880 --> 00:16:15,520
643
+ ูˆุงู„ู€ mean ุงู„ู„ูŠ ู‡ู… ูƒุฏู‡ุŸ 21 ูˆุงู„ู„ูŠ ุจุนุฏู‡ 19-21ยฒ ู„ุบุงูŠุฉ
644
+
645
+ 162
646
+ 00:16:15,520 --> 00:16:21,760
647
+ ุฃุฎุฑ ูˆุงุญุฏ 24-21ยฒ
648
+
649
+ 163
650
+ 00:16:21,760 --> 00:16:32,780
651
+ ุนู„ู‰ 16 ูˆุทู„ุน ุงู„ุฌูˆุงุจ sigma ู„ู€ x bar 1.58
652
+
653
+ 164
654
+ 00:16:36,260 --> 00:16:41,180
655
+ ุทู„ุน ุงู„ู€ sigma ู„ู„ population ูƒุฏู‡ุŸ ุงู„ sigma ู„ู„
656
+
657
+ 165
658
+ 00:16:41,180 --> 00:16:47,520
659
+ population ู…ุชุณุงูˆูŠ 2.236 ุฅุฐุง ุทู„ุนุช ุงู„ mean ู„ู„
660
+
661
+ 166
662
+ 00:16:47,520 --> 00:16:51,320
663
+ population ุทู„ุนู†ุง ุงู„ sigma ู„ู„ population ูˆ ุจุนุฏูŠู†
664
+
665
+ 167
666
+ 00:16:51,320 --> 00:16:54,940
667
+ ุฃุฎุฏู†ุง all samples of size 2 ุทู„ุนู†ุง ุงู„ means ุงู„ู„ูŠ ู‡ู…
668
+
669
+ 168
670
+ 00:16:54,940 --> 00:17:00,100
671
+ ุทู„ุนู†ุง ุงู„ mean ู„ู„ means ูˆ ุงู„ sigma ู„ู„ means ุทู„ุน
672
+
673
+ 169
674
+ 00:17:00,100 --> 00:17:04,280
675
+ ู…ุนุงูŠุง ุงู„ mean ู„ู„ x bar 21 ูˆ ุงู„ sigma ู„ู„ x bar 1.58
676
+
677
+ 170
678
+ 00:17:06,610 --> 00:17:10,070
679
+ ู‡ุฐู‡ ุฃุฑุณูˆู…ู‡ู… ุทู„ุน ุงู„ุฑุณู… ู‡ุงูŠ ุงู„ุดูƒู„ ู‡ุงูŠ ุงู„ population
680
+
681
+ 171
682
+ 00:17:10,070 --> 00:17:15,590
683
+ of size 4 ูˆู‡ุงูŠ ุงู„ sample means ู„ู…ุง ุฃุฎุฏุช n equals 2
684
+
685
+ 172
686
+ 00:17:15,590 --> 00:17:21,070
687
+ ุจุฏูŠ ุฃุนู…ู„ comparison between these two graphs ุฃูˆู„
688
+
689
+ 173
690
+ 00:17:21,070 --> 00:17:28,210
691
+ ูˆุงุญุฏ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† .. ุฅูŠุด ุณู…ู†ุงู‡ุงุŸ ู‡ุฐุง uniform ูˆู‡ุฐุง
692
+
693
+ 174
694
+ 00:17:28,210 --> 00:17:34,640
695
+ looks like ู…ูŠู†ุŸ ุจุงู„ shape normal distributionูˆุงุถุญ
696
+
697
+ 175
698
+ 00:17:34,640 --> 00:17:44,500
699
+ ุดูƒู„ ุชุจุนู‡ ุชู‚ุฑูŠุจุง ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุจุดูƒู„ ูˆุงุถุญ ุงู„ู…ู„ุฎุต
700
+
701
+ 176
702
+ 00:17:44,500 --> 00:17:50,320
703
+ ู…ุนู†ุงู‡ different samples ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุดูู†ุงู‡ู…
704
+
705
+ 177
706
+ 00:17:50,320 --> 00:17:55,440
707
+ ู…ู† ุดูˆูŠุฉ different samples ุจุญูƒูŠ ุนู† ู‡ุฏูˆู„ ู‡ุฏูˆู„
708
+
709
+ 178
710
+ 00:17:55,440 --> 00:17:56,300
711
+ different samples
712
+
713
+ 179
714
+ 00:18:00,340 --> 00:18:04,020
715
+ of the sample size from the same population will
716
+
717
+ 180
718
+ 00:18:04,020 --> 00:18:06,360
719
+ yield different sample means ุดูˆูู†ุง means ู…ุง ู„ู‡ู…
720
+
721
+ 181
722
+ 00:18:06,360 --> 00:18:14,920
723
+ ู…ุฎุชู„ููŠู† ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ ูƒู„
724
+
725
+ 182
726
+ 00:18:14,920 --> 00:18:20,380
727
+ ุงู„ means ุงู„ู„ูŠ ู‡ู†ุง ู…ุด ุฒูŠ ุจุนุถ a
728
+
729
+ 183
730
+ 00:18:20,380 --> 00:18:23,620
731
+ measure of variability in the mean from sample to
732
+
733
+ 184
734
+ 00:18:23,620 --> 00:18:27,180
735
+ sample is given by the standard error of the mean
736
+
737
+ 185
738
+ 00:18:29,800 --> 00:18:33,640
739
+ ู‡ู†ุง ุณุงู…ุนู‡ุง standard error of mean ู‡ู†ุง ุณุงู…ุนู‡ุง
740
+
741
+ 186
742
+ 00:18:33,640 --> 00:18:42,360
743
+ standard error of mean of
744
+
745
+ 187
746
+ 00:18:42,360 --> 00:18:48,980
747
+ x bar ู‡ู†ุง ุณุชู„ุงุญุธ ุฃู† ุงู„ mean ู„ู„ x bar equal to mu
748
+
749
+ 188
750
+ 00:18:48,980 --> 00:18:53,960
751
+ ุฒูŠ ุจุนุถุŒ ู…ุด ู‡ูŠูƒุŸ ุฅุฐุง ุงู„ุงุณุชู†ุชุงุฌ ุงู„ู„ูŠ ู‡ูˆ ุฃู† ุงู„ mu ู„ู„
752
+
753
+ 189
754
+ 00:18:53,960 --> 00:19:04,570
755
+ x bar equal to muุณูŠุฌู…ุง X bar ู‡ูˆ ุฃู‚ู„ ู…ู†
756
+
757
+ 190
758
+ 00:19:04,570 --> 00:19:14,330
759
+ 2.236 ู„ุญุธุฉ 1.58 ุฃู‚ู„ ู…ู† 2.236 ุณูŠุฌู…ุง X bar ู„ูˆ ุนุงูŠุฒ
760
+
761
+ 191
762
+ 00:19:14,330 --> 00:19:18,290
763
+ ุฃุทู„ุน ุญู‚ ุจุชุณุงูˆูŠ ู„ูˆ ุฌุจุช ุงู„ุณูŠุฌู…ุง ุฌุณู…ุช ุนู„ู‰ square root
764
+
765
+ 192
766
+ 00:19:18,290 --> 00:19:18,610
767
+ of N
768
+
769
+ 193
770
+ 00:19:24,640 --> 00:19:29,940
771
+ ุณุชุธู‡ุฑ ุณูŠุฌู…ุง X bar ุจุงู„ุณุงูˆูŠุฉ ูŠุนู†ูŠ
772
+
773
+ 194
774
+ 00:19:29,940 --> 00:19:39,100
775
+ ู„ูˆ ุฌูŠุช ุฌุณู…ุช ุงู„ุณูŠุฌู…ุง ุงู„ุณูŠุฌู…ุง ู‡ูŠ 2.236 ุงู„ N equals 2
776
+
777
+ 195
778
+ 00:19:39,100 --> 00:19:45,100
779
+ ู„ูˆ ุฌุณู…ุชู‡ุง ุฏูˆู„ ุนู„ู‰ ุงู„ูƒุงู„ูƒูˆู„ุงุชุฑ ุณุชุธู‡ุฑ ุงู„ุฌูˆุงุจ 1.58
780
+
781
+ 196
782
+ 00:19:45,100 --> 00:19:50,880
783
+ ุฅุฐุง ุงู„ sigma over square root of N ุณุชุธู‡ุฑ 1.58
784
+
785
+ 197
786
+ 00:19:53,720 --> 00:19:58,480
787
+ ุฅุฐุง ุฌุงุจุช ุนู„ู‰ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ุทู„ู‚ ุงู„ู€ mean ู„ู„ู€ x bar
788
+
789
+ 198
790
+ 00:19:58,480 --> 00:20:05,040
791
+ ุงู„ู€ mean ู„ู„ู€ means ูŠุณุชูˆู‰ ุงู„ population mean ูˆ ุงู„
792
+
793
+ 199
794
+ 00:20:05,040 --> 00:20:08,280
795
+ sigma x bar ู‡ูˆ ุงู„ spread ุนุจุงุฑุฉ ุนู† ุงู„ sigma ุนู„ู‰
796
+
797
+ 200
798
+ 00:20:08,280 --> 00:20:11,520
799
+ square root of n with always sigma x bar smaller
800
+
801
+ 201
802
+ 00:20:11,520 --> 00:20:19,720
803
+ than sigma n for n greater than one ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„
804
+
805
+ 202
806
+ 00:20:19,720 --> 00:20:25,690
807
+ sample size ุฃูƒุชุฑ ู…ู† ูˆุงุญุฏ ู„ุฃู† ู„ูˆ ูƒุงู† ุงู„ n ุจูˆุงุญุฏู…ุด
808
+
809
+ 203
810
+ 00:20:25,690 --> 00:20:28,810
811
+ ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x
812
+
813
+ 204
814
+ 00:20:28,810 --> 00:20:29,710
815
+ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด
816
+
817
+ 205
818
+ 00:20:29,710 --> 00:20:29,730
819
+ ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x
820
+
821
+ 206
822
+ 00:20:29,730 --> 00:20:32,090
823
+ bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡
824
+
825
+ 207
826
+ 00:20:32,090 --> 00:20:38,310
827
+ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน
828
+
829
+ 208
830
+ 00:20:38,310 --> 00:20:42,630
831
+ sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ
832
+
833
+ 209
834
+ 00:20:42,630 --> 00:20:45,670
835
+ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด
836
+
837
+ 210
838
+ 00:20:45,670 --> 00:20:46,450
839
+ ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x
840
+
841
+ 211
842
+ 00:20:46,450 --> 00:20:47,250
843
+ bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡
844
+
845
+ 212
846
+ 00:20:47,250 --> 00:20:48,970
847
+ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน
848
+
849
+ 213
850
+ 00:20:48,970 --> 00:20:51,310
851
+ sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ
852
+
853
+ 214
854
+ 00:20:51,310 --> 00:20:58,170
855
+ ู†ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ู…ุงู„ู‡ุง ุชุชุฎู„ุต ูุงู„ุฎุทุฃ ุงู„ุนุงู…ู„ ู„ู„ู…ุนุงู…ู„ุฉ
856
+
857
+ 215
858
+ 00:20:58,170 --> 00:21:03,170
859
+ ุชุชุฎู„ุต ุนู†ุฏู…ุง ุชุฒูŠุฏ ุตู…ูŠู… ุงู„ู…ุนุงู…ู„ุฉ ุงูˆ ุชุฒูŠุฏ ุงุฐุง ุนู„ุงู‚ุฉ
860
+
861
+ 216
862
+ 00:21:03,170 --> 00:21:08,830
863
+ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ูƒู„ ุงู† ู…ุง ุจุฒูŠุฏ ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ู…ุงู„ู‡ ุจู‚ุฏุฑ
864
+
865
+ 217
866
+ 00:21:08,830 --> 00:21:12,830
867
+ ุงุฐุง ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ุงูƒุจุฑ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู†
868
+
869
+ 218
870
+ 00:21:12,830 --> 00:21:14,030
871
+ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง
872
+
873
+ 219
874
+ 00:21:14,030 --> 00:21:16,210
875
+ ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู†
876
+
877
+ 220
878
+ 00:21:16,210 --> 00:21:18,910
879
+ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง
880
+
881
+ 221
882
+ 00:21:18,910 --> 00:21:27,010
883
+ ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู†ุงู„ุฃู†ุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
884
+
885
+ 222
886
+ 00:21:27,010 --> 00:21:31,730
887
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
888
+
889
+ 223
890
+ 00:21:31,730 --> 00:21:37,350
891
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
892
+
893
+ 224
894
+ 00:21:37,350 --> 00:21:40,530
895
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
896
+
897
+ 225
898
+ 00:21:40,530 --> 00:21:43,470
899
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
900
+
901
+ 226
902
+ 00:21:43,470 --> 00:21:45,070
903
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
904
+
905
+ 227
906
+ 00:21:45,070 --> 00:21:45,530
907
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
908
+
909
+ 228
910
+ 00:21:45,530 --> 00:21:45,770
911
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
912
+
913
+ 229
914
+ 00:21:45,770 --> 00:21:49,730
915
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
916
+
917
+ 230
918
+ 00:21:49,730 --> 00:21:53,020
919
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒูˆ ุงู„ู€ sigma x bar ุจูŠุณูˆูŠ
920
+
921
+ 231
922
+ 00:21:53,020 --> 00:21:56,860
923
+ sigma over square root of n ุงู„ุดูŠุก ุจูŠุนุชู…ู„ if the
924
+
925
+ 232
926
+ 00:21:56,860 --> 00:22:00,280
927
+ population is normal then x bar is also normally
928
+
929
+ 233
930
+ 00:22:00,280 --> 00:22:04,880
931
+ distributed with mean equals mu and sigma x bar
932
+
933
+ 234
934
+ 00:22:04,880 --> 00:22:10,040
935
+ equals sigma over square root of n ุฅุฐู† ุงู„ู„ูŠ ุญุตู„ู†ุง
936
+
937
+ 235
938
+ 00:22:10,040 --> 00:22:15,960
939
+ ุนู„ูŠู‡ ุฃู† ุงู„ุชูˆุฒูŠุน x bar ุฅู„ู‡ average ุจูŠุณูˆูŠ mu ุงู„ู„ูŠ ู‡ูˆ
940
+
941
+ 236
942
+ 00:22:15,960 --> 00:22:20,100
943
+ population meanู„ุฃู† ุงู„ู€ population mean is always
944
+
945
+ 237
946
+ 00:22:20,100 --> 00:22:25,720
947
+ .. this value is always unknown ุงู„ู‚ูŠู…ุฉ
948
+
949
+ 238
950
+ 00:22:25,720 --> 00:22:29,420
951
+ ุบูŠุฑ ู…ุนุฑูˆูุฉ ูƒูŠู ุจ .. ุจุนู…ู„ู‡ estimation ุจุงุฎุฏ
952
+
953
+ 239
954
+ 00:22:29,420 --> 00:22:34,080
955
+ different samples ูˆ ุจุทู„ุน ุงู„ mean ู„ูƒู„ sample ุงู„
956
+
957
+ 240
958
+ 00:22:34,080 --> 00:22:36,480
959
+ average ุชุจุนู‡ู… ุฃูˆ ุงู„ mean ุชุจุนู‡ู… ุนุจุงุฑุฉ ุนู† ุงู„
960
+
961
+ 241
962
+ 00:22:36,480 --> 00:22:40,420
963
+ population mean ูŠุนู†ูŠ ุงู„ ู…ูŠูˆ ู…ุด ู…ุนุฑูˆูุฉ ูƒูŠู
964
+
965
+ 242
966
+ 00:22:40,420 --> 00:22:45,630
967
+ ุจุชุนุฑููŠู‡ุงุŸ ุฎุฏ ุงู„ samples ู…ุฎุชู„ูุฉ ุทู„ุน ุงู„ meanุทุงู„ุน
968
+
969
+ 243
970
+ 00:22:45,630 --> 00:22:48,950
971
+ ุงู„ู…ุชูˆุณุท ุงู„ means ู‡ุฏูˆู„ ุงู„ู…ุชูˆุณุท ุงู„ means ุงู„ู„ู‰ ุจูŠุทู„ุน
972
+
973
+ 244
974
+ 00:22:48,950 --> 00:22:52,910
975
+ ู…ุนุงูŠุง ุนุจุงุฑุฉ ุนู† population ูŠุนู†ูŠ ูˆ ุงู„ sigma x bar
976
+
977
+ 245
978
+ 00:22:52,910 --> 00:22:57,950
979
+ ุจูŠุณุงูˆูŠ ุงู„ sigma ุนู„ู‰ ุงู„ square ุฏูˆู„ ุงู„ shape ุชุจุนู‡ู…
980
+
981
+ 246
982
+ 00:22:57,950 --> 00:23:02,130
983
+ ุฅุฐุง ุงู„ population is normal ุจูŠูƒูˆู† ุจุฑุถู‡ ุงู„ x bar
984
+
985
+ 247
986
+ 00:23:02,130 --> 00:23:05,650
987
+ ู…ุงู„ู‡ normal ู„ุฅู† ุฃู†ุง ููŠ ุนู†ุฏูŠ population is normal
988
+
989
+ 248
990
+ 00:23:05,650 --> 00:23:11,570
991
+ ู‡ูŠ ู‡ูŠ ุงู„ population normal ุฃุฎุฏุช ู…ู†ู‡ ุงู„ sample ุฅูŠุด
992
+
993
+ 249
994
+ 00:23:11,570 --> 00:23:16,680
995
+ ุญูƒูˆู… ุจุฑุถู‡ ุดูƒู„ู‡ุงุฒูŠ ุชูˆุฒูŠุนู‡ุง ุทุจูŠุนูŠุŒ ุงู„ population ูƒู„ู‡
996
+
997
+ 250
998
+ 00:23:16,680 --> 00:23:20,400
999
+ ุทุจูŠุนูŠุŒ ู„ูˆ ู†ุงุฎุฏ ู…ู†ู‡ ุนูŠู†ุฉุŒ ู‡ูŠูƒูˆู† ุจุฑุถู‡ normal
1000
+
1001
+ 251
1002
+ 00:23:20,400 --> 00:23:24,840
1003
+ distribution ุทุจ ู„ุฃู† ุงู„ z score ุชุจุนู†ุง ุงู„ุฌุฏูŠุฏุŒ ุฅูŠุด
1004
+
1005
+ 252
1006
+ 00:23:24,840 --> 00:23:28,180
1007
+ ู‡ูŠุณุงูˆูŠุŸ
1008
+
1009
+ 253
1010
+ 00:23:28,180 --> 00:23:36,380
1011
+ ู†ุฐูƒุฑ ุงู„ z score ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„ z ู„ูˆ ู†ุญูƒูŠ
1012
+
1013
+ 254
1014
+ 00:23:36,380 --> 00:23:36,960
1015
+ ุนู„ู‰ ุงู„ x
1016
+
1017
+ 255
1018
+ 00:23:40,300 --> 00:23:47,560
1019
+ ูƒุงู† z ุนุจุงุฑุฉ ุนู† x over sigma ูƒู†ุง ู†ูƒุชุจ ุฒูŠูƒูŠ x minus
1020
+
1021
+ 256
1022
+ 00:23:47,560 --> 00:23:50,880
1023
+ ุงู„ mean over sigma ุจุณ ุงู„ู…ู‚ุตูˆุฏ ูŠุจู‚ู‰ ุงู„ mean ู„ู„ x ูˆ
1024
+
1025
+ 257
1026
+ 00:23:50,880 --> 00:23:56,360
1027
+ ุงู„ sigma ู„ู„ x ูŠุนู†ูŠ x minus its mean divided by its
1028
+
1029
+ 258
1030
+ 00:23:56,360 --> 00:24:01,580
1031
+ standard deviationุทุจ ู„ุฃู† ู‡ุฐุง z for x ุฃู†ุง ุนุงูŠุฒ ุงู„ z
1032
+
1033
+ 259
1034
+ 00:24:01,580 --> 00:24:07,240
1035
+ ู„ู…ู†ุŸ ู„ ุงู„ x bar ู„ุฃู† ุฃู†ุง ู…ุด ู‡ุชูƒู„ู… ุนู† ุงู„ x ุฎุงู„ุต ุงู„ z
1036
+
1037
+ 260
1038
+ 00:24:07,240 --> 00:24:10,700
1039
+ value for the same distribution of the mean ู„ุฃู†
1040
+
1041
+ 261
1042
+ 00:24:10,700 --> 00:24:16,920
1043
+ ุฃู†ุง ุนุงูŠุฒ ุงู„ z ู„ ุงู„ x bar ุงูŠุด
1044
+
1045
+ 262
1046
+ 00:24:16,920 --> 00:24:23,360
1047
+ ุญุงุณุฉ ู‡ูˆ ู‡ู†ุง ูƒู„ ุญุงุฌุฉ ู…ุง ู„ูˆ ุญุณุจุช ุงู„ x ุจ x bar ูˆ ูŠุตูŠุฑ
1048
+
1049
+ 263
1050
+ 00:24:23,360 --> 00:24:24,040
1051
+ ู‡ูŠ ุงู„ x bar
1052
+
1053
+ 264
1054
+ 00:24:27,130 --> 00:24:35,790
1055
+ ู…ุนูŠู†ุฉ ุณู…ูŠู† ู„ู„ X bar ุณูŠุฌู…ุง ู„ู„ X bar ู†ูุณ
1056
+
1057
+ 265
1058
+ 00:24:35,790 --> 00:24:44,550
1059
+ ุงู„ mean of X bar ู†ูุณ ุงู„ population mean ู†ูุณ
1060
+
1061
+ 266
1062
+ 00:24:44,550 --> 00:24:44,710
1063
+ ุงู„ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1064
+
1065
+ 267
1066
+ 00:24:44,710 --> 00:24:44,790
1067
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1068
+
1069
+ 268
1070
+ 00:24:44,790 --> 00:24:44,810
1071
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1072
+
1073
+ 269
1074
+ 00:24:44,810 --> 00:24:44,890
1075
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1076
+
1077
+ 270
1078
+ 00:24:44,890 --> 00:24:45,090
1079
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1080
+
1081
+ 271
1082
+ 00:24:45,090 --> 00:24:45,150
1083
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1084
+
1085
+ 272
1086
+ 00:24:45,150 --> 00:24:45,350
1087
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1088
+
1089
+ 273
1090
+ 00:24:45,350 --> 00:24:45,370
1091
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1092
+
1093
+ 274
1094
+ 00:24:45,370 --> 00:24:45,610
1095
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1096
+
1097
+ 275
1098
+ 00:24:45,610 --> 00:24:49,870
1099
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1100
+
1101
+ 276
1102
+ 00:24:49,870 --> 00:24:50,810
1103
+ population mean
1104
+
1105
+ 277
1106
+ 00:24:55,680 --> 00:24:58,960
1107
+ x bar minus the mean divided by sigma over square
1108
+
1109
+ 278
1110
+ 00:24:58,960 --> 00:25:03,260
1111
+ root of n ู‡ุฐุง ุงู„ุงุฎุชู„ุงู ุนู† chapter 6 ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡
1112
+
1113
+ 279
1114
+ 00:25:03,260 --> 00:25:06,020
1115
+ ุจุฏู„ ู…ุง ู†ุชุนุงู…ู„ ู…ุน ุงู„ x ุงู„ values ู†ูุณู‡ุง ู‡ู†ุงุฎุฏ mean
1116
+
1117
+ 280
1118
+ 00:25:06,020 --> 00:25:11,180
1119
+ ุงู„ mean ุชุจุนู‡ู… ูˆ ุงู„ู‚ุงู†ูˆู† ู‡ูŠุตูŠุฑ ุจุฏู„ x ู‡ุตูŠุฑ x bar
1120
+
1121
+ 281
1122
+ 00:25:11,180 --> 00:25:14,880
1123
+ minus the same mean mu population mean divided by
1124
+
1125
+ 282
1126
+ 00:25:14,880 --> 00:25:18,700
1127
+ instead of sigma we have sigma over square root of
1128
+
1129
+ 283
1130
+ 00:25:18,700 --> 00:25:20,460
1131
+ n ู‡ุฐุง sigma of x
1132
+
1133
+ 284
1134
+ 00:25:28,690 --> 00:25:35,050
1135
+ ุฃูŠ ุณุคุงู„ุŒ ุฃูŠ ุงุณุชูุณุงุฑ ุฅุฐุง ุฃุฎุฏู†ุง ุซู„ุงุซ ู†ู‚ุทุฉ ุงู„ู…ูŠู†ุง ุงู„ู€
1136
+
1137
+ 285
1138
+ 00:25:35,050 --> 00:25:38,310
1139
+ x bar ู…ูŠูˆุŒ ุณูŠุฌู…ุง x bar ุณูŠุฌู…ุง over square root of
1140
+
1141
+ 286
1142
+ 00:25:38,310 --> 00:25:42,550
1143
+ nุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉุŒ ูุฅู† x bar ุฃูŠุถู‹ุง ุนุงู…ุฉ ู…ุน
1144
+
1145
+ 287
1146
+ 00:25:42,550 --> 00:25:45,790
1147
+ ู…ูŠู†ุง ู…ูŠูˆุŒ ูˆุณุชุงู†ุฏุฑุจูŠุชุดู† ุณูŠุฌู…ุง over square root of
1148
+
1149
+ 288
1150
+ 00:25:45,790 --> 00:25:50,850
1151
+ nุŒ ูˆุงู„ุฃู…ุฑ ุฏุงุฆู…ู‹ุงุŒ ุณูŠุฌู…ุง x bar ุฃู‚ู„ ู…ู† ุณูŠุฌู…ุงุŒ
1152
+
1153
+ 289
1154
+ 00:25:50,850 --> 00:25:54,990
1155
+ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุฃู† ุงู„ุฅุฎุทุงุฑ ุงู„ุนุงู… ูŠุชุฎ๏ฟฝ๏ฟฝุต ุนู†ุฏู…ุง ุชุฒูŠุฏ
1156
+
1157
+ 290
1158
+ 00:25:54,990 --> 00:25:55,350
1159
+ ุตู…ูŠู… ุงู„ู…ุฌู…ูˆุนุฉ.
1160
+
1161
+ 291
1162
+ 00:25:58,980 --> 00:26:03,680
1163
+ ุงู„ุงู† ุงู†ุธุฑูˆุง ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุตุญูŠูุงุช ู„ุฏูŠู†ุง ุตุญูŠูุฉ ู„ู€ X
1164
+
1165
+ 292
1166
+ 00:26:03,680 --> 00:26:06,860
1167
+ ูˆุตุญูŠูุฉ
1168
+
1169
+ 293
1170
+ 00:26:06,860 --> 00:26:17,140
1171
+ ู„ู€ Xยฏ ุงุฐุง ูƒุงู†ุช ู…ูŠุงู† X ู…ูŠูˆู† ุงูŠุถุง ู…ูŠุงู† Xยฏ ู…ูŠุงู† Xยฏ
1172
+
1173
+ 294
1174
+ 00:26:17,140 --> 00:26:26,300
1175
+ ู…ูŠูˆู†ุจุนุถ ุงู„ู…ู‚ุงุจู„ุงุช ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู€ mean ุงู„ู€ x ูˆ ุงู„ู€ x
1176
+
1177
+ 295
1178
+ 00:26:26,300 --> 00:26:29,720
1179
+ bar ูŠู„ู‡ู… ู†ูุณ ุงู„ู€ mean ุงู„ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ุฃูˆู„ ุงู† ุงู„ู€
1180
+
1181
+ 296
1182
+ 00:26:29,720 --> 00:26:33,560
1183
+ mean ู„ ุงู„ x bar equal to mu ู†ุจุทู„ุน ุนู„ู‰ ุงู„ sigma ู„
1184
+
1185
+ 297
1186
+ 00:26:33,560 --> 00:26:38,100
1187
+ ุงู„ x for example suppose this is the graph for x
1188
+
1189
+ 298
1190
+ 00:26:38,100 --> 00:26:46,060
1191
+ so sigma x look
1192
+
1193
+ 299
1194
+ 00:26:46,060 --> 00:26:51,510
1195
+ at the corresponding one ุงู„ู…ู‚ุงุจู„ุฉ ู„ู‡ุงุจุฑุงุญุธ ู…ูŠู†
1196
+
1197
+ 300
1198
+ 00:26:51,510 --> 00:26:55,430
1199
+ ุงู„ุฃูƒุจุฑุŸ ุจุงู„ุฃูˆู„ู‰ sigma x greater than sigma x bar
1200
+
1201
+ 301
1202
+ 00:26:55,430 --> 00:27:03,350
1203
+ ุฅุฐุง always graph for x bar is narrower ุฃุถูŠู‚ ู…ู† ุงู„
1204
+
1205
+ 302
1206
+ 00:27:03,350 --> 00:27:06,690
1207
+ graph ุชุจุน ุงู„ x ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ which one is less
1208
+
1209
+ 303
1210
+ 00:27:06,690 --> 00:27:12,870
1211
+ spreadุŸ ู…ูŠู† ู‚ุงู„ุช ุดู‡ุฏุชู‡ุŸ graph a,bุŒ so b is less
1212
+
1213
+ 304
1214
+ 00:27:12,870 --> 00:27:17,430
1215
+ spread it means x bar has less spread distribution
1216
+
1217
+ 305
1218
+ 00:27:17,430 --> 00:27:21,700
1219
+ thanูˆุงุถุญ ุฃู† ุณูŠุฌู…ุง X ุจุงุฑ ุงู„ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ ุงู„ุฃูˆู„
1220
+
1221
+ 306
1222
+ 00:27:21,700 --> 00:27:29,600
1223
+ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† X ุจู„ุงุญุธ ุงู„ mean ู„ู„ X bar ู†ูุณ ุงู„
1224
+
1225
+ 307
1226
+ 00:27:29,600 --> 00:27:36,400
1227
+ population mean ู„ู…ุง ูŠูƒูˆู† ุงู„ mean ู„ู„ X bar ุจูŠุณูˆุก
1228
+
1229
+ 308
1230
+ 00:27:36,400 --> 00:27:42,560
1231
+ ู…ูŠูˆ in this case X bar is called unbiased
1232
+
1233
+ 309
1234
+ 00:27:42,560 --> 00:27:45,480
1235
+ estimator
1236
+
1237
+ 310
1238
+ 00:27:48,460 --> 00:27:51,660
1239
+ ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุงู„ู€ mean ู„ู‡ ุงู„ู€ x bar ุจุตูˆุฑุฉ ู…ูŠูˆ
1240
+
1241
+ 311
1242
+ 00:27:51,660 --> 00:27:59,160
1243
+ ู†ุณู…ูŠู‡ unbiased estimator unbiased ู…ุนู†ุงู‡ ุบูŠุฑ ู…ุชุญูŠุฒ
1244
+
1245
+ 312
1246
+ 00:27:59,160 --> 00:28:03,420
1247
+ ูŠุนู†ูŠ ู‚ูŠู…ุชู‡ ู…ุชูุฑุฌุด ุนู† population mean ูุงู„ mean ู„ ุงู„
1248
+
1249
+ 313
1250
+ 00:28:03,420 --> 00:28:09,740
1251
+ x bar is always equal to ู…ูŠูˆ if mean of x bar
1252
+
1253
+ 314
1254
+ 00:28:09,740 --> 00:28:12,160
1255
+ equals to ู…ูŠูˆ this means x bar is unbiased
1256
+
1257
+ 315
1258
+ 00:28:12,160 --> 00:28:16,460
1259
+ estimator ูŠุนู†ูŠ ุงุนุชุจุฑู‡ ุงู„ุขู† ู„ูˆ ุงู„ mean ู„ ุงู„ x bar
1260
+
1261
+ 316
1262
+ 00:28:16,460 --> 00:28:18,040
1263
+ ุจุตูˆุฑุฉ ู…ูŠูˆ ู…ุนู†ุงู‡ x bar ู…ุงู„ู‡
1264
+
1265
+ 317
1266
+ 00:28:23,930 --> 00:28:32,730
1267
+ ุงู„ุณูŠู…ุงุชุฑ ู…ู‚ุฏุฑ ูŠุนู†ูŠ X bar ู…ู‚ุฏุฑ ุบูŠุฑ ู…ุชุญูŠุฒ ูƒู…ุง
1268
+
1269
+ 318
1270
+ 00:28:32,730 --> 00:28:36,570
1271
+ ุฐูƒุฑู†ุงุŒ ูƒู…ุง ูŠุฒุฏุงุฏ NุŒ ุณูŠุฌู…ุน X bar ูŠุชู‚ู„
1272
+
1273
+ 319
1274
+ 00:28:42,600 --> 00:28:50,400
1275
+ ุงู„ุฑุญู„ูŠุฉ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ
1276
+
1277
+ 320
1278
+ 00:28:50,400 --> 00:28:53,020
1279
+ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ
1280
+
1281
+ 321
1282
+ 00:28:53,020 --> 00:28:55,860
1283
+ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ
1284
+
1285
+ 322
1286
+ 00:28:55,860 --> 00:29:00,080
1287
+ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ
1288
+
1289
+ 323
1290
+ 00:29:00,080 --> 00:29:00,800
1291
+ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ
1292
+
1293
+ 324
1294
+ 00:29:00,800 --> 00:29:08,700
1295
+ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠ
1296
+
1297
+ 325
1298
+ 00:29:10,170 --> 00:29:14,410
1299
+ ู„ู†ูุณ ุงู„ุงุชุฌุงู‡ ุงู„ spread ู…ุงู„ูˆ ูˆุงุถุญ ุฃูˆุณุน ู…ู† ุงู„ graph
1300
+
1301
+ 326
1302
+ 00:29:14,410 --> 00:29:19,170
1303
+ ุงู„ุชุงู†ูŠ ู…ุน ูƒุฏู‡ ุงู„ sigma x bar ุงู„ุฃูˆู„ ู„ู„ุฃุญู…ุฑ ุงู„ sigma
1304
+
1305
+ 327
1306
+ 00:29:19,170 --> 00:29:26,070
1307
+ x bar ู„ู„ red is more than sigma x bar ู„ู…ู†ุŸ ู„ู„ blue
1308
+
1309
+ 328
1310
+ 00:29:26,070 --> 00:29:30,630
1311
+ ูˆุงุถุญ ู‡ูŠูƒ ุงู„ sigma x bar ู„ู„ ุฃุญู…ุฑ ุงู„ู„ูŠ ู‡ู†ุง ุฃุตุบุฑ ู…ู†ูƒ
1312
+
1313
+ 329
1314
+ 00:29:31,760 --> 00:29:34,500
1315
+ ู‡ุฐุง ุงู„ู€ comparison between two different
1316
+
1317
+ 330
1318
+ 00:29:34,500 --> 00:29:38,840
1319
+ distributions with the same mean both have the
1320
+
1321
+ 331
1322
+ 00:29:38,840 --> 00:29:44,720
1323
+ same mean but different standard now let's
1324
+
1325
+ 332
1326
+ 00:29:44,720 --> 00:29:48,760
1327
+ look how can we determine an interval including
1328
+
1329
+ 333
1330
+ 00:29:48,760 --> 00:29:52,720
1331
+ fixed proportion of the assemblages
1332
+
1333
+ 334
1334
+ 00:30:14,950 --> 00:30:21,950
1335
+ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู†ุจุญุซ ุนู† ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ
1336
+
1337
+ 335
1338
+ 00:30:21,950 --> 00:30:26,850
1339
+ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ
1340
+
1341
+ 336
1342
+ 00:30:26,850 --> 00:30:27,230
1343
+ ุฅู„ู‰ ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ ุฅู„ู‰
1344
+
1345
+ 337
1346
+ 00:30:27,230 --> 00:30:29,430
1347
+ ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ
1348
+
1349
+ 338
1350
+ 00:30:29,430 --> 00:30:36,750
1351
+ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ
1352
+
1353
+ 339
1354
+ 00:30:39,420 --> 00:30:45,840
1355
+ ู…ู‚ุงุฑู†ุฉ ู…ุชุฌุงุฑูŠุฉ ุญูˆู„ ู…ูŠูˆ ุงู„ุชูŠ ุณุชุญุชูˆูŠ 95% ู…ู† ู…ุตุงุฏุฑ
1356
+
1357
+ 340
1358
+ 00:30:45,840 --> 00:30:57,580
1359
+ ุงู„ูˆุซูŠู‚ุฉ ูŠุนู†ูŠ ุจุฏู†ุง ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
1360
+
1361
+ 341
1362
+ 00:30:57,580 --> 00:31:08,440
1363
+ 95% ู…ู† ู…ุตุงุฏุฑ ุงู„ูˆุซูŠู‚ุฉ ูŠุนู†ูŠ ุนู†ุฏู…ุง ู…ูŠูˆ ูŠูƒูˆูŠู† 368
1364
+
1365
+ 342
1366
+ 00:31:09,510 --> 00:31:21,330
1367
+ ุณูŠุฌู…ุง 15 ูˆู…ุฌู…ูˆุนู‡ 25 ุฏุนูˆู†ุง
1368
+
1369
+ 343
1370
+ 00:31:21,330 --> 00:31:29,010
1371
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… 95 ุงุชุตุงู„ ู…ุคูƒุฏ ู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐุง
1372
+
1373
+ 344
1374
+ 00:31:29,010 --> 00:31:38,570
1375
+ ุงู„ู†ู‚ุทุฉ ูˆู‡ูˆ ู†ู‚ุทุฉ ุฃุฎุฑู‰ ู…ูŠุฒูŠู‡ ุณูƒูˆุฑx bar minus the
1376
+
1377
+ 345
1378
+ 00:31:38,570 --> 00:31:48,590
1379
+ mean divided by sigma over square root of n ู„ุฐู„ูƒ
1380
+
1381
+ 346
1382
+ 00:31:48,590 --> 00:31:51,450
1383
+ ู†ุจุญุซ ุนู† ู…ู‚ุงุทุน ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1384
+
1385
+ 347
1386
+ 00:31:51,450 --> 00:31:52,290
1387
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1388
+
1389
+ 348
1390
+ 00:31:52,290 --> 00:31:52,710
1391
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1392
+
1393
+ 349
1394
+ 00:31:52,710 --> 00:31:54,810
1395
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1396
+
1397
+ 350
1398
+ 00:31:54,810 --> 00:31:54,830
1399
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1400
+
1401
+ 351
1402
+ 00:31:54,830 --> 00:32:07,150
1403
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1404
+
1405
+ 352
1406
+ 00:32:08,560 --> 00:32:13,540
1407
+ ุฃุถุฑุจ ุถุฑุจ ุชุจุงุฏู„ cross multiplication x-x bar-mu
1408
+
1409
+ 353
1410
+ 00:32:13,540 --> 00:32:20,420
1411
+ equals z sigma over square root of n ู…ุธุจูˆุท ุถุฑุจ
1412
+
1413
+ 354
1414
+ 00:32:20,420 --> 00:32:27,080
1415
+ ุชุจุงุฏู„ x bar-mu equals z sigma over square root of
1416
+
1417
+ 355
1418
+ 00:32:27,080 --> 00:32:34,570
1419
+ n ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ x bar ู…ุด ุจุชุณุงูˆูŠ mu plus zุณูŠุฌู…ุง
1420
+
1421
+ 356
1422
+ 00:32:34,570 --> 00:32:36,070
1423
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ
1424
+
1425
+ 357
1426
+ 00:32:36,070 --> 00:32:38,430
1427
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1428
+
1429
+ 358
1430
+ 00:32:38,430 --> 00:32:48,130
1431
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ
1432
+
1433
+ 359
1434
+ 00:32:48,130 --> 00:32:50,490
1435
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1436
+
1437
+ 360
1438
+ 00:32:50,490 --> 00:32:51,690
1439
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ
1440
+
1441
+ 361
1442
+ 00:32:51,690 --> 00:32:53,710
1443
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1444
+
1445
+ 362
1446
+ 00:32:53,710 --> 00:33:02,850
1447
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1448
+
1449
+ 363
1450
+ 00:33:02,850 --> 00:33:08,930
1451
+ ุงูˆ ุณูŠู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุจู…ุง ุฃู† ุงู„ุงู†ุชูุงู„ ูŠุญุชูˆูŠ ุนู„ู‰ 95%
1452
+
1453
+ 364
1454
+ 00:33:08,930 --> 00:33:11,870
1455
+ ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉุŒ 5% ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉ
1456
+
1457
+ 365
1458
+ 00:33:11,870 --> 00:33:13,650
1459
+ ุณุชูƒูˆู† ุฎุงุฑุฌู‡ุง.
1460
+
1461
+ 366
1462
+ 00:33:19,490 --> 00:33:22,670
1463
+ ูƒู… ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ ZุŸ
1464
+
1465
+ 367
1466
+ 00:33:27,400 --> 00:33:32,340
1467
+ look at the table in the body of the table at the
1468
+
1469
+ 368
1470
+ 00:33:32,340 --> 00:33:39,140
1471
+ value of 2.5 means we are looking for 0.25 ุทู„ุน
1472
+
1473
+ 369
1474
+ 00:33:39,140 --> 00:33:45,340
1475
+ ุงู„ุฌุฏูˆู„ ุนู„ู‰ ุงู„ู€ 0.25 ุทู„ุน ุงู„ุฌุฏูˆู„ ุงู„ุฌุฏูˆู„ ุชุจู‚ู‰ ุงู„ู€ z
1476
+
1477
+ 370
1478
+ 00:33:45,340 --> 00:33:50,820
1479
+ negative ุฃูƒูŠุฏ ู„ุฃู†ู‡ ู‚ูŠู…ุฉ ุตุบูŠุฑุฉ ุฅูŠุด ุจุทู„ุน ุงู„ z score
1480
+
1481
+ 371
1482
+ 00:33:50,820 --> 00:33:52,760
1483
+ ุงู„ z ุงู„ู…ู‚ุงุจู„ ู„ู‡ุง
1484
+
1485
+ 372
1486
+ 00:33:56,270 --> 00:34:11,590
1487
+ ู…ุงุฐุง ูŠุนู†ูŠ Z value ุนู†ุฏ 0.25ุŸ 1
1488
+
1489
+ 373
1490
+ 00:34:11,590 --> 00:34:18,530
1491
+ .96
1492
+
1493
+ 374
1494
+ 00:34:22,930 --> 00:34:29,790
1495
+ ุทุจุนุง ุจุฏูˆุฑุฉ ุนู„ู‰ 0 to 5 ู‡ุงูŠ ุงู„ 0 to 5 ุฏู‡ ุงูŠุด ุจุทู„ุน
1496
+
1497
+ 375
1498
+ 00:34:29,790 --> 00:34:37,750
1499
+ ุงู„ุฌูˆุงุจ ู†ูŠุฌุงุชูŠุจ ู†ูŠุฌุงุชูŠุจ one nine under six so this
1500
+
1501
+ 376
1502
+ 00:34:37,750 --> 00:34:42,630
1503
+ value is negative one point nine six ุงู„ู„ูŠ ุนู„ู‰
1504
+
1505
+ 377
1506
+ 00:34:42,630 --> 00:34:50,850
1507
+ ุงู„ุดู…ุงู„ ูˆ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู†ูุณู‡ุง ูˆุงุญุฏุฉ
1508
+
1509
+ 378
1510
+ 00:34:50,850 --> 00:34:55,380
1511
+ ู…ูˆุฌุฉ ุจูˆุงุญุฏุฉ ุณุงู„ู‚ุฅุฐุง ุจุฏูˆุฑูŠ ุนู„ู‰ 0.5 ููŠ ุงู„ู€ table ุฌูˆุง
1512
+
1513
+ 379
1514
+ 00:34:55,380 --> 00:35:01,120
1515
+ ุฅุฐุง
1516
+
1517
+ 380
1518
+ 00:35:01,120 --> 00:35:03,700
1519
+ from the standardized normal table the z score
1520
+
1521
+ 381
1522
+ 00:35:03,700 --> 00:35:10,880
1523
+ will with 2.5 below it is negative 1.96 and above
1524
+
1525
+ 382
1526
+ 00:35:10,880 --> 00:35:16,560
1527
+ it is 1.96 now
1528
+
1529
+ 383
1530
+ 00:35:16,560 --> 00:35:19,460
1531
+ let's see how can we calculate the lower limit
1532
+
1533
+ 384
1534
+ 00:35:23,700 --> 00:35:28,460
1535
+ ู„ูˆ ุจุฏู‰ ุงุญุณุจ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ู‰ ุนู„ูŠ ุงู„ุดู…ุงู„ ู‡ู‰ ู†ุณู…ูŠู‡ุง X bar
1536
+
1537
+ 385
1538
+ 00:35:28,460 --> 00:35:35,180
1539
+ lower L stands for lower limit equals
1540
+
1541
+ 386
1542
+ 00:35:35,180 --> 00:35:40,360
1543
+ ุจุชุทู„ุน ุงู„ X bar ุงู„ู„ู‰ ู‡ู†ุง X
1544
+
1545
+ 387
1546
+ 00:35:40,360 --> 00:35:49,820
1547
+ bar lower ูˆู‡ู‰ ุจุชุทู„ุน X bar upper ุงู„ู‚ุงู†ูˆู† ู‡ู‰ Mu plus
1548
+
1549
+ 388
1550
+ 00:35:49,820 --> 00:35:55,710
1551
+ Z Sigma over square root of M ุงู„ู„ู‰ ู…ุด ุณูˆู‰ุงู„ู€ 368
1552
+
1553
+ 389
1554
+ 00:35:55,710 --> 00:36:06,330
1555
+ ุงู„ู€ z ุงูŠุด ุณุงูˆูŠุฉ ุนู†ุฏู‰ุŸ negative 1.96 ูˆ ุงู„ sigma 15
1556
+
1557
+ 390
1558
+ 00:36:06,330 --> 00:36:11,150
1559
+ ุนู„ู‰ square root of 25 ู…ุฑุฉ ุชุงู†ูŠุฉ ู†ุทู„ุน ุงู„ x bar ู„ู„
1560
+
1561
+ 391
1562
+ 00:36:11,150 --> 00:36:16,110
1563
+ lower limit ู‡ุงูŠ ุงู„ู‚ูˆุงู†ูŠู† ุชุจุน ุงู„ x bar ู…ูŠูˆ ุจู„ุณ ุฒูŠ
1564
+
1565
+ 392
1566
+ 00:36:16,110 --> 00:36:23,230
1567
+ sigma over square root of n ู…ูŠูˆ 368z-196 ุณูŠุฌู…ุง 15
1568
+
1569
+ 393
1570
+ 00:36:23,230 --> 00:36:28,310
1571
+ ุน 25 ู„ูˆ ุญุณุจุชู‡ู… 362
1572
+
1573
+ 394
1574
+ 00:36:28,310 --> 00:36:36,410
1575
+ .12 ู„ูˆ x bar upper limit for this point we have
1576
+
1577
+ 395
1578
+ 00:36:36,410 --> 00:36:45,990
1579
+ the same 368 z is plus instead of negative divided
1580
+
1581
+ 396
1582
+ 00:36:45,990 --> 00:36:56,390
1583
+ by square root of 25ู†ุญู† ู†ุญุตู„ ุนู„ู‰ 373.88 ู…ุน
1584
+
1585
+ 397
1586
+ 00:36:56,390 --> 00:37:04,010
1587
+ ุงูƒูŠุฏ ุงุชุทู„ุน ุงู„ lower limit 362.12 ูˆ ุงู„ upper 373.88
1588
+
1589
+ 398
1590
+ 00:37:04,010 --> 00:37:08,130
1591
+ ุงุฐุง
1592
+
1593
+ 399
1594
+ 00:37:08,130 --> 00:37:10,550
1595
+ ู‡ู‰ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุงู„ x bar ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง over
1596
+
1597
+ 400
1598
+ 00:37:10,550 --> 00:37:15,790
1599
+ square root of x ุชุฐูƒุฑ ุงู„ x ุงู„ู„ู‰ ุงุฎุฏู†ุงู‡ุง ู‚ุจู„ู‡ุงู„ูˆ
1600
+
1601
+ 401
1602
+ 00:37:15,790 --> 00:37:18,250
1603
+ ูƒู†ุง ู†ุทู„ุน ุงู„ู€ Corresponding xy ุงู„ู„ูŠ ูƒุงู† ูƒู„ู‡ ุนุจุงุฑุฉ
1604
+
1605
+ 402
1606
+ 00:37:18,250 --> 00:37:24,590
1607
+ ุนู† ุงุดูŠ ู…ูŠูˆ ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1608
+
1609
+ 403
1610
+ 00:37:24,590 --> 00:37:25,830
1611
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1612
+
1613
+ 404
1614
+ 00:37:25,830 --> 00:37:27,050
1615
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1616
+
1617
+ 405
1618
+ 00:37:27,050 --> 00:37:30,390
1619
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1620
+
1621
+ 406
1622
+ 00:37:30,390 --> 00:37:32,710
1623
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1624
+
1625
+ 407
1626
+ 00:37:32,710 --> 00:37:42,690
1627
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ
1628
+
1629
+ 408
1630
+ 00:37:42,690 --> 00:37:53,200
1631
+ ุจู„ุณ362.12 ูˆ 373.88 ุฅุฐุง ุทู„ุนุช ูƒู„ ุงู„ู€ sample means
1632
+
1633
+ 409
1634
+ 00:37:53,200 --> 00:38:03,400
1635
+ ู‡ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ุจูŠู† 362 ูˆ 373 any question?
1636
+
1637
+ 410
1638
+ 00:38:04,300 --> 00:38:06,960
1639
+ so again in this example we have
1640
+
1641
+ 411
1642
+ 00:38:10,230 --> 00:38:13,170
1643
+ ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1644
+
1645
+ 412
1646
+ 00:38:13,170 --> 00:38:16,010
1647
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1648
+
1649
+ 413
1650
+ 00:38:16,010 --> 00:38:22,130
1651
+ ุงู„ู…ุนุธู…
1652
+
1653
+ 414
1654
+ 00:38:22,130 --> 00:38:24,130
1655
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1656
+
1657
+ 415
1658
+ 00:38:24,130 --> 00:38:25,830
1659
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1660
+
1661
+ 416
1662
+ 00:38:25,830 --> 00:38:26,630
1663
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1664
+
1665
+ 417
1666
+ 00:38:26,630 --> 00:38:26,650
1667
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1668
+
1669
+ 418
1670
+ 00:38:26,650 --> 00:38:26,690
1671
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1672
+
1673
+ 419
1674
+ 00:38:26,690 --> 00:38:37,430
1675
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1676
+
1677
+ 420
1678
+ 00:38:37,930 --> 00:38:42,510
1679
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง
1680
+
1681
+ 421
1682
+ 00:38:42,510 --> 00:38:44,610
1683
+ ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1684
+
1685
+ 422
1686
+ 00:38:44,610 --> 00:38:45,010
1687
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1688
+
1689
+ 423
1690
+ 00:38:45,010 --> 00:38:46,730
1691
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1692
+
1693
+ 424
1694
+ 00:38:46,730 --> 00:38:47,870
1695
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1696
+
1697
+ 425
1698
+ 00:38:47,870 --> 00:38:49,330
1699
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1700
+
1701
+ 426
1702
+ 00:38:49,330 --> 00:38:49,750
1703
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1704
+
1705
+ 427
1706
+ 00:38:49,750 --> 00:38:52,150
1707
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1708
+
1709
+ 428
1710
+ 00:38:52,150 --> 00:39:05,090
1711
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง
1712
+
1713
+ 429
1714
+ 00:39:05,090 --> 00:39:11,180
1715
+ ูƒุงู†ุชุซู… ู†ุญุตู„ ุนู„ู‰ ู‡ุฐุง ุงู„ู†ุชูŠุฌุฉ ุฅุฐุง ุฃุฎุฐู†ุง ู…ุฌู…ูˆุนุงุช
1716
+
1717
+ 430
1718
+ 00:39:11,180 --> 00:39:14,380
1719
+ ุนุดูˆุงุฆูŠุฉ ู…ู† ู…ุฌู…ูˆุนุงุช ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1720
+
1721
+ 431
1722
+ 00:39:14,380 --> 00:39:18,000
1723
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1724
+
1725
+ 432
1726
+ 00:39:18,000 --> 00:39:22,580
1727
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1728
+
1729
+ 433
1730
+ 00:39:22,580 --> 00:39:23,680
1731
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1732
+
1733
+ 434
1734
+ 00:39:23,680 --> 00:39:23,740
1735
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1736
+
1737
+ 435
1738
+ 00:39:23,740 --> 00:39:35,160
1739
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1740
+
1741
+ 436
1742
+ 00:39:35,160 --> 00:39:42,040
1743
+ ุนูˆุงุถุญ ู„ุงู† ู‡ู†ุดุชุบู„ ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ how can we determine
1744
+
1745
+ 437
1746
+ 00:39:42,040 --> 00:39:45,420
1747
+ the sample distribution of the sample meal if the
1748
+
1749
+ 438
1750
+ 00:39:45,420 --> 00:39:48,480
1751
+ population is not normal ูŠุนู†ูŠ ู†ูุณ ุดุบู„ู†ุง ุงู„ู„ูŠ
1752
+
1753
+ 439
1754
+ 00:39:48,480 --> 00:39:53,340
1755
+ ุฃุฎุฏู†ุงู‡ ุงู„ูŠูˆู… ุจุณ ู„ูˆ ูƒุงู† ุงู„ุชูˆุฒูŠุน ู…ุงู„ู‡ ู…ุด normal ุฎู„ุงุต
1756
+
1757
+ 440
1758
+ 00:39:53,340 --> 00:39:54,940
1759
+ that's all
1760
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/87bJotKuFBM_raw.json ADDED
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@@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:24,910
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ู†ุณุชู…ุฑ ููŠ ุงู„ุญู„ู‚ุฉ
4
+
5
+ 2
6
+ 00:00:24,910 --> 00:00:32,310
7
+ ุงู„ุชุงุณุนุฉ 9 ุณุฃุจุฏุฃ ู…ุน ู…ูˆุถูˆุน ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุณูŠุงุณูŠุฉ
8
+
9
+ 3
10
+ 00:00:32,310 --> 00:00:38,610
11
+ ูˆุงู„ู‚ูŠู… ุงู„ุฎุงุตุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณูŠูƒูˆู† ู‡ู†ุงูƒ ุงุดูŠุงุก ูƒุซูŠุฑุฉ
12
+
13
+ 4
14
+ 00:00:38,610 --> 00:00:45,010
15
+ ูƒูŠู ู†ุณุชุฎุฏู… ู‚ูŠู… ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุณูŠุงุณูŠุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰
16
+
17
+ 5
18
+ 00:00:45,010 --> 00:00:48,790
19
+ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู‚ูŠู… ุงู„ุฎุงุตุฉ
20
+
21
+ 6
22
+ 00:00:50,440 --> 00:00:54,380
23
+ ุงู„ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ู…ูŠุฒุฉ ุงู„ุนุงู…ู„ุฉ ู‚ุฑูŠุจุฉ ู…ู† ู…ูŠุฒุฉ ุงู„ู…ุฌุชู…ุน
24
+
25
+ 7
26
+ 00:00:54,380 --> 00:00:59,000
27
+ ุงู„ู…ุตุทู„ุญ ุŒ ูู„ูŠุณ ุงู„ู…ูŠุฒุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ูุชุฑุถุฉ ุฅุฐุง ุชุฐูƒุฑ ุŒ
28
+
29
+ 8
30
+ 00:00:59,000 --> 00:01:01,620
31
+ ู„ู„ู…ูŠุฒุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
32
+
33
+ 9
34
+ 00:01:01,620 --> 00:01:02,160
35
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
36
+
37
+ 10
38
+ 00:01:02,160 --> 00:01:07,900
39
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
40
+
41
+ 11
42
+ 00:01:07,900 --> 00:01:17,400
43
+ ู…ูŠุฒุฉ
44
+
45
+ 12
46
+ 00:01:18,690 --> 00:01:24,630
47
+ ุชู‚ูˆู„ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนุงู…ู„ุฉ ู‚ุฑูŠุจุฉ
48
+
49
+ 13
50
+ 00:01:24,630 --> 00:01:26,610
51
+ ุจู…ุง ููŠ ุงู„ูƒูุงุกุฉ ูƒุงููŠุฉ ู„ู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
52
+
53
+ 14
54
+ 00:01:26,610 --> 00:01:28,470
55
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
56
+
57
+ 15
58
+ 00:01:28,470 --> 00:01:29,690
59
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
60
+
61
+ 16
62
+ 00:01:29,690 --> 00:01:29,730
63
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
64
+
65
+ 17
66
+ 00:01:29,730 --> 00:01:31,030
67
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
68
+
69
+ 18
70
+ 00:01:31,030 --> 00:01:31,150
71
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
72
+
73
+ 19
74
+ 00:01:31,150 --> 00:01:32,650
75
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
76
+
77
+ 20
78
+ 00:01:32,650 --> 00:01:36,890
79
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
80
+
81
+ 21
82
+ 00:01:36,890 --> 00:01:48,170
83
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
84
+
85
+ 22
86
+ 00:01:50,010 --> 00:01:55,090
87
+ ุฐุง ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ุฅุฐุง ูƒุงู† ู‚ูŠู…ุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ู‚ุฑูŠุจุฉ ุฌุฏู‹ุง
88
+
89
+ 23
90
+ 00:01:55,090 --> 00:02:00,730
91
+ ู…ู† ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุชุŒ ูู„ู† ู†ู†ุฌุญ ู…ู† ู†ุงู„ ุงู„ุญูŠูˆุงู†ุงุช
92
+
93
+ 24
94
+ 00:02:00,730 --> 00:02:03,250
95
+ ุนู„ู‰ ุงู„ุงุชุตุงู„ ุงู„ุขุฎุฑุŒ ุฅุฐุง ูƒุงู†ุช ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุช
96
+
97
+ 25
98
+ 00:02:03,250 --> 00:02:06,990
99
+ ุจุนูŠุฏุฉ ู…ู† ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ู…ุตุทู„ุญุฉุŒ ูู„ู† ู†ู†ุฌุญ ู…ู†
100
+
101
+ 26
102
+ 00:02:06,990 --> 00:02:10,910
103
+ ู†ุงู„ ุงู„ุญูŠูˆุงู†ุงุชุŒ ูู„ูˆ ูƒุงู†ุช ุจุนูŠุฏุฉ ุนู†ู‡ุŒ ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„
104
+
105
+ 27
106
+ 00:02:10,910 --> 00:02:18,040
107
+ ุงู„ู…ุซุงู„ ุฅุฐุง X ุจุงุฑ ูƒู…ุง ุฐูƒุฑู†ุง 4ุŒ ูุฅุฐุง X ุจุงุฑ ูƒุงู† 10ู‡ู†ุง
108
+
109
+ 28
110
+ 00:02:18,040 --> 00:02:23,620
111
+ ูŠูˆุฌุฏ ูุฑู‚ ูƒุจูŠุฑ ุจูŠู† ู…ุตุฏุฑ ุงู„ูˆุซูŠู‚ุฉ ูˆ 30 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
112
+
113
+ 29
114
+ 00:02:23,620 --> 00:02:25,320
115
+ ู†ู†ู‚ุฐ ุงู„ู‡ูŠุจุงูˆุธุจุช ุฏู„ุงู„ุฉ ุงู„ู‡ูŠุจุงูˆุธุจุช
116
+
117
+ 30
118
+ 00:02:34,120 --> 00:02:38,100
119
+ is far enough to rejected zero ูƒุฏู‡ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง
120
+
121
+ 31
122
+ 00:02:38,100 --> 00:02:41,740
123
+ ุจูŠู† ุงู„ mean ู„ู„ sample ูˆ ุงู„ population ูŠุนู†ูŠ ูƒุฏู‡
124
+
125
+ 32
126
+ 00:02:41,740 --> 00:02:45,300
127
+ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง ุจูŠู†ู‡ู… ูƒุจูŠุฑ and we can reject none of
128
+
129
+ 33
130
+ 00:02:45,300 --> 00:02:49,320
131
+ it ูŠุนู†ูŠ ูƒุฏู‡ ูŠูƒูˆู† ุงู„ู…ุณุงูุฉ ุจูŠู†ู‡ู… ูƒุจูŠุฑุฉ ุนุดุงู† ุฃู‚ุฏุฑ ุฃู†
132
+
133
+ 34
134
+ 00:02:49,320 --> 00:02:53,420
135
+ ุฃุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ is how far is far enough ู‡ุฐุง
136
+
137
+ 35
138
+ 00:02:53,420 --> 00:02:55,960
139
+ ุงู„ู„ูŠ ุงุญู†ุง ู†ุดุฑ ุนู„ูŠู‡ ู…ู† ุฎู„ุงู„ ุญุงุฌุฉ ุงุณู…ู‡ุง critical
140
+
141
+ 36
142
+ 00:02:55,960 --> 00:03:02,300
143
+ valuesุงู„ุนู†ูˆุงู† ุงู„ุงุตุทู†ุงุนูŠ ู„ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
144
+
145
+ 37
146
+ 00:03:02,300 --> 00:03:09,400
147
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
148
+
149
+ 38
150
+ 00:03:09,400 --> 00:03:10,220
151
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
152
+
153
+ 39
154
+ 00:03:10,220 --> 00:03:10,300
155
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
156
+
157
+ 40
158
+ 00:03:10,300 --> 00:03:14,260
159
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
160
+
161
+ 41
162
+ 00:03:14,260 --> 00:03:27,080
163
+ ุชุฌุงุฑุจ
164
+
165
+ 42
166
+ 00:03:30,010 --> 00:03:38,130
167
+ ู…ุซู„ู‹ุงุŒ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉุŒ ู‡ู†ุงูƒ ุงุชุฌุงุฑุงุช
168
+
169
+ 43
170
+ 00:03:38,130 --> 00:03:41,970
171
+ ู…ุฎุชู„ูุฉุŒ ูˆุงุญุฏุฉ ุชุณู…ู‰ ู…ุฌู…ูˆุนุฉ ุงุชุฌุงุฑุงุช ู„ุง ุงุชุฌุงุฑุฉ
172
+
173
+ 44
174
+ 00:03:41,970 --> 00:03:46,210
175
+ ูˆุงู„ุซุงู†ูŠุฉ ู…ุฌู…ูˆุนุฉ ุงุชุฌุงุฑุงุช ู„ุง ุงุชุฌุงุฑุฉ
176
+
177
+ 45
178
+ 00:03:51,840 --> 00:03:54,180
179
+ ุชูƒูˆู† ู‡ู†ุงูƒ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
180
+
181
+ 46
182
+ 00:03:54,180 --> 00:03:54,820
183
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
184
+
185
+ 47
186
+ 00:03:54,820 --> 00:03:57,200
187
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
188
+
189
+ 48
190
+ 00:03:57,200 --> 00:03:57,940
191
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
192
+
193
+ 49
194
+ 00:03:57,940 --> 00:04:00,260
195
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
196
+
197
+ 50
198
+ 00:04:00,260 --> 00:04:02,720
199
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
200
+
201
+ 51
202
+ 00:04:02,720 --> 00:04:03,820
203
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
204
+
205
+ 52
206
+ 00:04:03,820 --> 00:04:09,430
207
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู†ู…ุน ุฐู„ูƒ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู†
208
+
209
+ 53
210
+ 00:04:09,430 --> 00:04:10,190
211
+ ุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
212
+
213
+ 54
214
+ 00:04:10,190 --> 00:04:11,190
215
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
216
+
217
+ 55
218
+ 00:04:11,190 --> 00:04:14,950
219
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
220
+
221
+ 56
222
+ 00:04:14,950 --> 00:04:15,610
223
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
224
+
225
+ 57
226
+ 00:04:15,610 --> 00:04:18,930
227
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
228
+
229
+ 58
230
+ 00:04:18,930 --> 00:04:23,030
231
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
232
+
233
+ 59
234
+ 00:04:23,030 --> 00:04:24,330
235
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
236
+
237
+ 60
238
+ 00:04:24,330 --> 00:04:35,350
239
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
240
+
241
+ 61
242
+ 00:04:39,620 --> 00:04:45,700
243
+ ุงู„ุญุธุฉ ู‡ูŠ ุงู„ู…ูŠู† ู…ุธุจูˆุท ุงู„ region ู‡ุฏูˆู„ ู…ุงู„ู‡ู… ุงุจุนุงุฏ ุนู†
244
+
245
+ 62
246
+ 00:04:45,700 --> 00:04:50,680
247
+ population ู…ูŠู† ูุฅุฐุง ูƒุงู† ุฃู†ุง ู…ูˆุฌูˆุฏ ููŠ ุงู„ .. ููŠ
248
+
249
+ 63
250
+ 00:04:50,680 --> 00:04:52,780
251
+ these regions ููŠ ุงู„ rejection region then we
252
+
253
+ 64
254
+ 00:04:52,780 --> 00:04:56,140
255
+ reject the null hypothesis so suppose we are in
256
+
257
+ 65
258
+ 00:04:56,140 --> 00:05:00,180
259
+ these regions then we reject the null hypothesis
260
+
261
+ 66
262
+ 00:05:00,180 --> 00:05:02,400
263
+ now the question is how can we determine this
264
+
265
+ 67
266
+ 00:05:02,400 --> 00:05:08,870
267
+ region and the other oneู‡ุฐู‡ ุงู„ุณุคุงู„ ู„ู„ู…ุฌู„ุฏ ุงู„ูŠูˆู…
268
+
269
+ 68
270
+ 00:05:08,870 --> 00:05:18,010
271
+ ู‚ุจู„ ุฐู„ูƒ ุงุจุญุซ ุนู† ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุณู…ู‡ุง risk in
272
+
273
+ 69
274
+ 00:05:18,010 --> 00:05:20,910
275
+ decision making using hypothesis testing ู‡ู†ุงูƒ
276
+
277
+ 70
278
+ 00:05:20,910 --> 00:05:24,350
279
+ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงูˆู„ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุณู…ู‡ุง type one
280
+
281
+ 71
282
+ 00:05:24,350 --> 00:05:27,530
283
+ type
284
+
285
+ 72
286
+ 00:05:27,530 --> 00:05:31,570
287
+ one error ูŠุนู†ูŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุงูˆู„ ุงู„ definition
288
+
289
+ 73
290
+ 00:05:31,570 --> 00:05:37,950
291
+ ุชุจุนู‡ ู„ type one rejecttrue null hypothesis type
292
+
293
+ 74
294
+ 00:05:37,950 --> 00:05:49,050
295
+ one reject h0 when it is true ุงุฐุง
296
+
297
+ 75
298
+ 00:05:49,050 --> 00:05:52,050
299
+ ู‡ูŠ ุงูˆู„ ุชุนุฑูŠู ูŠุฌุจ ุงู† ุงุนุฑูู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน
300
+
301
+ 76
302
+ 00:05:52,050 --> 00:06:00,430
303
+ ุงู„ุงูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุฑูุถ h0 ู‡ูˆ ู…ุง ู‚ุงู„ู‡ ู‡ูˆ ุตุญูŠุญ
304
+
305
+ 77
306
+ 00:06:00,430 --> 00:06:03,390
307
+ ุงุฐุง reject is zero when it is true it is type one
308
+
309
+ 78
310
+ 00:06:03,390 --> 00:06:03,690
311
+ error
312
+
313
+ 79
314
+ 00:06:06,470 --> 00:06:11,090
315
+ ุงู„ู€ type 1 error is a false alarm ูŠุทู„ู‚ ุนู„ูŠู‡ false
316
+
317
+ 80
318
+ 00:06:11,090 --> 00:06:16,390
319
+ alarm ูŠุนู†ูŠ ุชู†ุจูŠู‡ ุฃูˆ ุชุนุฐูŠุฑ ุฃู† ููŠ ุนู†ุฏูŠ ุฎุทุฃ ูุงู„ุฎุทุฃ
320
+
321
+ 81
322
+ 00:06:16,390 --> 00:06:22,930
323
+ ุนุจุงุฑุฉ ุนู† reject when it's zero is true I mean when
324
+
325
+ 82
326
+ 00:06:22,930 --> 00:06:28,720
327
+ it is true I mean when it's zero is trueุฅุฐุง type
328
+
329
+ 83
330
+ 00:06:28,720 --> 00:06:31,960
331
+ one error it means rejection is zero when in fact
332
+
333
+ 84
334
+ 00:06:31,960 --> 00:06:35,960
335
+ it's zero is true ุฅุฐุง type ุงู„ุฎุทุฃ ู…ู† ู†ูˆุน ุงู„ุฃูˆู„
336
+
337
+ 85
338
+ 00:06:35,960 --> 00:06:41,680
339
+ ู…ุนู†ุงู‡ ุฑูุถ ุงู„ูุฑุงุฏูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆ ู‡ูŠ ุฅูŠุด ูˆ ู‡ูŠ ุตุญูŠุญุฉ ุฅุฐุง
340
+
341
+ 86
342
+ 00:06:41,680 --> 00:06:47,960
343
+ ุฃู†ุง ุฏูŠ ุฃุจู‚ู‰ ุฑูุถ it's zero ูˆ ู‡ูŠ ุตุญูŠุญุฉ ุฃู†ุง ุจุฑูุถ ุดูŠุก
344
+
345
+ 87
346
+ 00:06:47,960 --> 00:06:52,040
347
+ ุตุญ ู…ุน ูƒุฏู‡ we commit type one error ุงู„ู„ูŠ ุจุฑูุถ ุดูŠุก
348
+
349
+ 88
350
+ 00:06:52,040 --> 00:06:55,280
351
+ ุตุญ ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏู‡ ุฎุทุฃ ู…ุด ู‡ูŠูƒ ู†ุณู…ูŠู‡ type one error
352
+
353
+ 89
354
+ 00:06:56,780 --> 00:07:05,100
355
+ ุงู„ุนู†ูˆุงู† ุงู„ูˆุงู‚ุนูŠ ู„ู„ุฎุทุฃ ุงู„ูˆุงุญุฏ ู‡ูˆ Alpha ุงู„ูˆุงู‚ุนูŠ
356
+
357
+ 90
358
+ 00:07:05,100 --> 00:07:17,120
359
+ ู„ู„ุฎุทุฃ
360
+
361
+ 91
362
+ 00:07:17,120 --> 00:07:23,820
363
+ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
364
+
365
+ 92
366
+ 00:07:25,430 --> 00:07:30,610
367
+ ู‡ุฐุง ุจู†ุณู…ูŠู‡ alpha ู‡ุฐุง pronounced as alpha ู‡ุฐุง
368
+
369
+ 93
370
+ 00:07:30,610 --> 00:07:38,070
371
+ gereclator alpha ุฒูŠ ู…ูŠูˆ ูˆ ุฒูŠ ุณูŠุฌู…ุง gereclator this
372
+
373
+ 94
374
+ 00:07:38,070 --> 00:07:44,290
375
+ alpha is called level
376
+
377
+ 95
378
+ 00:07:44,290 --> 00:07:45,890
379
+ of significance of the test
380
+
381
+ 96
382
+ 00:07:52,460 --> 00:07:55,300
383
+ ุงู„ูƒุจูŠุฑ ู…ุซู„ุง ู‡ู†ุง ู…ุณุชูˆู‰ ุงู„ู…ุนู†ูˆูŠุฉ ุฃูˆ ู…ุณุชูˆู‰ ุงู„ุฃู‡ู…ูŠุฉ
384
+
385
+ 97
386
+ 00:07:55,300 --> 00:08:03,360
387
+ ู†ุณู…ูŠู‡ุง alpha is level of significance ู‡ูŠ
388
+
389
+ 98
390
+ 00:08:03,360 --> 00:08:09,180
391
+ ู…ุณุชูˆู‰ ุงู„ู…ุนู†ูˆูŠุฉ this
392
+
393
+ 99
394
+ 00:08:09,180 --> 00:08:13,540
395
+ alpha is set by researcher in advance ุงู„ู„ูŠ ุจุญุชุญุทู‡ุง
396
+
397
+ 100
398
+ 00:08:13,540 --> 00:08:17,380
399
+ ู„ู†ูุณู‡ ู…ู† ุงู„ุจุฏุงูŠุฉ ู„ุฐุง ุงู†ุง ููŠ ุนูŠู†ูŠ ุชุนุฑูŠู ู…ู‡ู… ูˆ ู‡ุฐุง
400
+
401
+ 101
402
+ 00:08:17,380 --> 00:08:20,680
403
+ ุญุงุฌุฉ ุบุฑูŠุจ ุดูƒู„ ูƒุจูŠุฑit's called type one error ุงู„ู„ูŠ
404
+
405
+ 102
406
+ 00:08:20,680 --> 00:08:25,420
407
+ ู‡ูˆ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุชุนุฑูŠูู‡ reject true null
408
+
409
+ 103
410
+ 00:08:25,420 --> 00:08:28,440
411
+ hypothesis it means we reject the null hypothesis
412
+
413
+ 104
414
+ 00:08:28,440 --> 00:08:31,860
415
+ when in fact it is true ูŠุนู†ูŠ ุจุฑูุถู‡ ูˆ ููŠ ุงู„ูˆุงู‚ุน
416
+
417
+ 105
418
+ 00:08:31,860 --> 00:08:36,420
419
+ ู…ุนู„ู‡ ุตุญ ู„ูˆ ุจุฑูุถ ุดูŠุก ุตุญ ู…ุน ูƒุฏู‡ ูุนู†ุฏูŠ ุฎุทุฃ ู‡ุฐุง ุฎุทุฃ
420
+
421
+ 106
422
+ 00:08:36,420 --> 00:08:42,820
423
+ ุจุณู…ูŠู‡ ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ type one errorุงู„ุณุคุงู„
424
+
425
+ 107
426
+ 00:08:42,820 --> 00:08:45,580
427
+ ุงู„ุซุงู†ูŠ ู‡ูˆ ุฅุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
428
+
429
+ 108
430
+ 00:08:45,580 --> 00:08:49,800
431
+ ุจุงุณู…ู‡ Alpha ุฅุฐุง ุงุญุชู…ุงู„ ู‡ุฐุง ุงู„ุฎุทุฃ ู‡ูˆ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน
432
+
433
+ 109
434
+ 00:08:49,800 --> 00:08:52,840
435
+ ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุจุงุณู…ู‡ Alpha ุฅุฐุง Alpha
436
+
437
+ 110
438
+ 00:08:52,840 --> 00:09:01,700
439
+ ุนุจุงุฑุฉ ุนู† ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
440
+
441
+ 111
442
+ 00:09:01,700 --> 00:09:05,700
443
+ ู…ุงู‡ูˆ ู‚ูŠู…ุฉ AlphaุŸ
444
+
445
+ 112
446
+ 00:09:10,610 --> 00:09:14,630
447
+ ุงู„ู‚ูŠู…ุฉ Alpha ุจุญุทู‡ุง ุงู„ุจุงุญุซ ููŠ ุงู„ุจุฏุงูŠุฉ Do you think
448
+
449
+ 113
450
+ 00:09:14,630 --> 00:09:19,050
451
+ Alpha is large or smallุŸ ุฃุชูˆู‚ุน Alpha ุชูƒูˆู† ุตุบูŠุฑุฉ ูˆ
452
+
453
+ 114
454
+ 00:09:19,050 --> 00:09:22,550
455
+ ู„ุง ูƒุจูŠุฑุฉุŸ ู„ุงุฒู… ุชูƒูˆู† ุตุบูŠุฑุฉ ู„ุฅูŠุดุŸ ู„ุฅู† ุงุญู†ุง we reject
456
+
457
+ 115
458
+ 00:09:22,550 --> 00:09:27,290
459
+ true or null ุจุฑูุถ ุดูŠุก ุตุญ ู…ุงุจู‚ู‰ ูƒุฏู‡ ุจุชุฎู„ูŠ ุฎุทุฉ
460
+
461
+ 116
462
+ 00:09:27,290 --> 00:09:32,390
463
+ ุฃุนู…ุงู„ู‡ ุตุบูŠุฑุฉ ูุจุงู„ุชุงู„ูŠ Alpha should be small the
464
+
465
+ 117
466
+ 00:09:32,390 --> 00:09:34,230
467
+ other error is called type 2 error
468
+
469
+ 118
470
+ 00:09:40,130 --> 00:09:44,430
471
+ ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ ุงู„ compliment ุชุจุน type 1 error
472
+
473
+ 119
474
+ 00:09:44,430 --> 00:09:48,210
475
+ ุงู„ู…ุชูƒู…ู„ ุฃูŠู‡ ู„ู‡ุŸ ุฅูŠุด ุงู„ type 1 errorุŸ reject
476
+
477
+ 120
478
+ 00:09:48,210 --> 00:09:52,190
479
+ through null hypothesis ุงู„ุชุงู†ูŠ ุฅูŠุด ู…ูƒุชูˆุจ ุนู„ูŠู‡ุŸ
480
+
481
+ 121
482
+ 00:09:52,190 --> 00:09:55,850
483
+ failure to reject false null hypothesis ู„ุญุธุฉ ุนูƒุณู‡
484
+
485
+ 122
486
+ 00:09:55,850 --> 00:09:59,850
487
+ ุชู…ุงู…ุง ู‡ู†ุง ุจู†ุญูƒูŠ reject ุงู„ุชุงู†ูŠ ุฅูŠุด ู…ูˆุฌูˆุฏุŸ failure
488
+
489
+ 123
490
+ 00:09:59,850 --> 00:10:03,090
491
+ to .. ุฅูŠุด ู…ุนู†ุงู‡ failure to rejectุŸ ูุดู„ุŒ ุนุฏู… ุฑูุถ
492
+
493
+ 124
494
+ 00:10:05,790 --> 00:10:10,210
495
+ failure to reject ู‡ู†ุง ุฅูŠุด ูƒุงู† true ุฅูŠุด ุตุงุฑ false
496
+
497
+ 125
498
+ 00:10:10,210 --> 00:10:15,670
499
+ ุฅุฐุง ุงู„ุฅุชู†ูŠู† ู…ูƒู…ู„ุงุช ู„ุจุนุถ ุฅุฐุง failure to reject
500
+
501
+ 126
502
+ 00:10:15,670 --> 00:10:22,670
503
+ false ู†ู„ุนุจ false ู†ุณู…ูŠู‡ type two error ุฅุฐุง ุงู„ุนูƒุณ
504
+
505
+ 127
506
+ 00:10:22,670 --> 00:10:24,930
507
+ ุงู„ู„ูŠ ู‡ู†ุง ุจุฏู„ ู…ุง ุฃุญูƒูŠ reject ุฃุญูƒูŠู‡ุงุด failure
508
+
509
+ 128
510
+ 00:10:24,930 --> 00:10:34,580
511
+ failure to reject it's zero ูŠุนู†ูŠyou can say just
512
+
513
+ 129
514
+ 00:10:34,580 --> 00:10:38,520
515
+ accept but it's better to say failure to reject so
516
+
517
+ 130
518
+ 00:10:38,520 --> 00:10:42,580
519
+ we are usually we prefer to say failure to reject
520
+
521
+ 131
522
+ 00:10:42,580 --> 00:10:46,720
523
+ or don't reject don't say accept ุฒูŠ ู…ุง ุจู†ุญูƒูŠ ุฏุงูŠู…ุง
524
+
525
+ 132
526
+ 00:10:46,720 --> 00:10:51,020
527
+ ุนุฏู… ุฑูุถ ู…ุงุจู†ุญูƒูŠุด ู‚ุจูˆู„ ุงุฐุง failure to reject is
528
+
529
+ 133
530
+ 00:10:51,020 --> 00:10:57,320
531
+ zero when it is false when it's zero is false ูŠุนู†ูŠ
532
+
533
+ 134
534
+ 00:10:57,320 --> 00:11:03,970
535
+ ู…ุด ู…ุนู†ุงู‡ ุนุฏู… ู…ุด ู„ุงุญุธ ู‡ู†ุง ู…ุด ู…ูˆุฌูˆุฏ ุฑูุถ ุงูŠุด ุจุตูŠุฑุนุฏู…
536
+
537
+ 135
538
+ 00:11:03,970 --> 00:11:11,590
539
+ ุฑูุถู‡ ุนุฏู… ุฑูุถ ุงู„ zero ูˆู‡ูŠ ุฎุงุทุฆุฉ ุฃู†ุง ุจุฑูุถุด ุดูŠุก ุบู„ุท
540
+
541
+ 136
542
+ 00:11:11,590 --> 00:11:17,770
543
+ ุจุฑูุถุด ูŠุนู†ูŠ ุจู‚ุจู„ ุดูŠุก ุฎุทุฃ ู…ุน ูƒู„ ูุนู„ ุฏู‡ ุบู„ุท ุงุฐุง when
544
+
545
+ 137
546
+ 00:11:17,770 --> 00:11:19,930
547
+ we don't reject the null hypothesis when the fact
548
+
549
+ 138
550
+ 00:11:19,930 --> 00:11:24,690
551
+ is false it means we commit type 2 error ูˆุงุถุญ ู„ู…ุง
552
+
553
+ 139
554
+ 00:11:24,690 --> 00:11:31,690
555
+ ุจุฑูุถุด ุดูŠุก ุบู„ุท ูˆู‚ุนุช ุฎุทุฃ this error is called type 2
556
+
557
+ 140
558
+ 00:11:31,690 --> 00:11:37,620
559
+ errorู‡ูŠ ุฃุณูˆุฃ ู…ู† ุงู„ุฏู…ุงุบ ุงู„ู€ type 1ุŸ ู‡ู… ุงู„ุฃุซู†ูŠู† ุนูƒุณ
560
+
561
+ 141
562
+ 00:11:37,620 --> 00:11:42,460
563
+ ุจุนุถ ุงุญู†ุง ู‡ุฑูƒุฒ ุนู„ู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ุจุนุฏ ุดูˆูŠุฉ ุงู„
564
+
565
+ 142
566
+ 00:11:42,460 --> 00:11:46,800
567
+ probability of type two error is beta ู…ุด beta
568
+
569
+ 143
570
+ 00:11:46,800 --> 00:11:56,400
571
+ ูŠุชู„ูุธ beta ู…ุด beta ุงู„ probability ุงู„ probability
572
+
573
+ 144
574
+ 00:11:56,400 --> 00:12:08,750
575
+ of type two errorู‡ู†ุง ูƒู†ุง ู†ุณู…ูŠู‡ุง alpha ู‡ูŠ ุชูƒุชุจ beta
576
+
577
+ 145
578
+ 00:12:08,750 --> 00:12:16,310
579
+ ุจุณ ุชูƒุชุจ beta ู‡ูŠูƒ ุจุณ ุชู„ูุธ beta ู…ุงููŠุด ุญุงุฌุฉ ุงุณู…ู‡ุง
580
+
581
+ 146
582
+ 00:12:16,310 --> 00:12:21,270
583
+ beta ููŠ ุงู„ curriculum beta, theta and so on ุงุฐุง
584
+
585
+ 147
586
+ 00:12:21,270 --> 00:12:24,090
587
+ there are two types of error one is called type
588
+
589
+ 148
590
+ 00:12:24,090 --> 00:12:29,170
591
+ one type one it means we reject through null
592
+
593
+ 149
594
+ 00:12:29,170 --> 00:12:33,910
595
+ hypothesis ู†ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุณูุฑูŠุฉ ุตุญุงู„ู†ุณุจุฉ ู„ู„ู€
596
+
597
+ 150
598
+ 00:12:33,910 --> 00:12:36,050
599
+ Probability ุชุจุน ุงู„ู€ Type I Error ุชุณู…ู‰ Alpha ูˆ
600
+
601
+ 151
602
+ 00:12:36,050 --> 00:12:39,050
603
+ Alpha ุชุณู…ู‰ Level of Significance ุงู„ู€ Type II Error
604
+
605
+ 152
606
+ 00:12:39,050 --> 00:12:43,290
607
+ ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุง ู†ุชุฑุฌู… ุฎุงุทุฆุฉ ู†ุงู†ูˆู‡ุง ุฑูŠุจูˆุชู‡ุฒ ูˆ
608
+
609
+ 153
610
+ 00:12:43,290 --> 00:12:48,690
611
+ Probability ู†ุณู…ูŠู‡ุง Beta ู‡ุฐูˆ ุงู„ู€ Two Types Of Error
612
+
613
+ 154
614
+ 00:12:48,690 --> 00:12:57,270
615
+ ุงู„ุงู† ู‡ุฐุง ุงู„ูƒู„ุจ ูŠู…ุซู„ ุญุงู„ุฉ ุงู„ุชุฑุฌู…ู‡ ุฃูˆ ู„ุง ุชุฑุฌู…ู‡ ุงู„ุงู†
616
+
617
+ 155
618
+ 00:12:57,270 --> 00:13:07,290
619
+ ู‚ุฑุงุฑ ุชุจุนู†ุง either don't reject ุงูˆreject ุงู„ูˆุถุน
620
+
621
+ 156
622
+ 00:13:07,290 --> 00:13:13,990
623
+ ุงู„ุญู‚ูŠู‚ูŠ ุฅู…ุง H0 ู‡ูˆ ุตุญ ุฃูˆ H0 ู‡ูˆ ุฎุงุทุฆ ุฅุฐุง H0 ูƒุงู†ุช ุตุญ
624
+
625
+ 157
626
+ 00:13:13,990 --> 00:13:23,330
627
+ ุฃูˆ ุฎุงุทุฆ ู‚ุฑุงุฑูŠ ุฅู…ุง ุนุฏู… ุฑูุถ ุฃูˆ ุฑูุถ ู†ู…ุณูƒ
628
+
629
+ 158
630
+ 00:13:23,330 --> 00:13:27,690
631
+ ูˆุงุญุฏ ูˆุงุญุฏ ู„ูˆ ุญูƒูŠุช don't reject ุงู„ zero when it is
632
+
633
+ 159
634
+ 00:13:27,690 --> 00:13:34,630
635
+ true ุจุฑูุถุด ุดูŠุก ุตุญูŠุนู†ูŠ ุจู‚ุจู„ ุดุฆ ุตุญูŠุญ ู…ุนู†ุงู‡ ุฅูŠุดุŸ no
636
+
637
+ 160
638
+ 00:13:34,630 --> 00:13:40,070
639
+ error ุฅุฐุง ู‡ุฐุง correct decision ุฅุฐุง ู‡ุฐุง correct
640
+
641
+ 161
642
+ 00:13:40,070 --> 00:13:49,310
643
+ ูŠุนู†ูŠ ู‚ุฑุงุฑ ู…ุงู†ูˆ ุตุญูŠุญ ุฅุฐุง don't reject a zero when
644
+
645
+ 162
646
+ 00:13:49,310 --> 00:13:53,770
647
+ fact it is true it means correct decision ู‚ุฑุงุฑ
648
+
649
+ 163
650
+ 00:13:53,770 --> 00:14:02,340
651
+ ุตุญูŠุญ ุฎู„ุงุต ุจุฑุถู‡ ู„ู…ุง ุจุญูƒูŠ rejected zerowhen it is
652
+
653
+ 164
654
+ 00:14:02,340 --> 00:14:09,940
655
+ false ุจุฑูุถ ุดูŠุก ุฎุทุฃ ุงู†ุง ุจุฑูุถ ุดูŠุก ุบู„ุท ู‚ุฑุงุฑ ุตุญ ูˆู„ุง ..
656
+
657
+ 165
658
+ 00:14:09,940 --> 00:14:17,240
659
+ ูˆู„ุง .. ุงุฐุง ู‡ุฐุง ุตุญ ุงุฐุง ู‡ุฐุง correct decision ุงุฐุง
660
+
661
+ 166
662
+ 00:14:17,240 --> 00:14:23,200
663
+ ุงู„ู‚ุฑุงุฑ ุณู„ูŠู… ุจูŠุฌูŠ ููŠ ุญุงู„ุชูŠู† ุงู…ุง ุนุฏู… ุฑูุถ ุดูŠุก ุตุญูŠุญ ุงูˆ
664
+
665
+ 167
666
+ 00:14:23,200 --> 00:14:27,580
667
+ ุฑูุถ ุดูŠุก ุฎุงุทุฑ ู…ุธุจูˆุท ู‡ุฏูˆู„ ุงุชู†ูŠู† correct decisionุนูƒุณ
668
+
669
+ 168
670
+ 00:14:27,580 --> 00:14:31,100
671
+ ุงู„ู„ูŠ ูุงุชูˆุง ู„ุฃู† ุงู„ type one error ุจูŠุฌูŠ ู…ู† ูˆูŠู† ู†ู‚ุฑุฃ
672
+
673
+ 169
674
+ 00:14:31,100 --> 00:14:35,300
675
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ
676
+
677
+ 170
678
+ 00:14:35,300 --> 00:14:37,660
679
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
680
+
681
+ 171
682
+ 00:14:37,660 --> 00:14:37,740
683
+ ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ
684
+
685
+ 172
686
+ 00:14:37,740 --> 00:14:37,940
687
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
688
+
689
+ 173
690
+ 00:14:37,940 --> 00:14:38,620
691
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
692
+
693
+ 174
694
+ 00:14:38,620 --> 00:14:53,720
695
+ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู†
696
+
697
+ 175
698
+ 00:14:53,720 --> 00:14:57,310
699
+ ู‡ู†ุงูƒู‡ุฏูˆู„ ุงุชู†ูŠู† complement ุฅุฐุง ู‡ุฐู‡ alpha ุฅูŠุด ุจุชูƒูˆู†
700
+
701
+ 176
702
+ 00:14:57,310 --> 00:15:02,030
703
+ ุงู„ูˆุงุญุฏ ู†ู‚ุต alpha ุฅุฐุง ู‡ุฐู‡ beta ุงู„ุชุงู†ูŠุฉ ูˆุงุญุฏ ู†ู‚ุต
704
+
705
+ 177
706
+ 00:15:02,030 --> 00:15:06,150
707
+ beta ุชู…ูŠู† ุฃุญุณู† ูˆุงุญุฏุฉ ููŠู‡ู… ูŠุนู†ูŠ ุงู„ power ู„ู„ test
708
+
709
+ 178
710
+ 00:15:06,150 --> 00:15:11,490
711
+ ุจุชูƒูˆู† ู…ู† ุฌุงูŠุฉ ู„ู…ุง we reject ุดูŠุก ุฎุทุฃ ู…ุธุจูˆุท ู„ู…ุง ุจุฑูุถ
712
+
713
+ 179
714
+ 00:15:11,490 --> 00:15:15,470
715
+ ุดูŠุก ุบู„ุท ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏูŠ ู‚ูˆุฉ ุฅุฐุง probability is zero
716
+
717
+ 180
718
+ 00:15:15,470 --> 00:15:21,090
719
+ when we reject zero when it is false it's called
720
+
721
+ 181
722
+ 00:15:22,520 --> 00:15:26,500
723
+ ุงู„ู€ Power ุงู„ู€ Power ู„ู„ุชุณุช ุนุจุงุฑุฉ ุนู† 1-ฮฒ ู‚ูˆุฉ
724
+
725
+ 182
726
+ 00:15:26,500 --> 00:15:30,660
727
+ ุงู„ุงุฎุชุจุงุฑ ุจุชูŠุฌูŠ ู…ู† ุฎู„ุงู„ ุฑูุถูƒ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ
728
+
729
+ 183
730
+ 00:15:30,660 --> 00:15:43,440
731
+ ุงูŠุด ุงู„ power ู…ุนู†ุงู‡ุง reject it's zero when it is
732
+
733
+ 184
734
+ 00:15:43,440 --> 00:15:51,060
735
+ false ุงู„ probability ุงู„ู„ูŠ ู‡ูŠ 1-ฮฒ ู‡ูŠ ุจุชุณู…ูŠู‡ุง ุงู„
736
+
737
+ 185
738
+ 00:15:51,060 --> 00:15:55,370
739
+ power ู„ู„ุชุณุชุฅุฐุง ุงู„ power ู„ู„ test ุนุจุงุฑุฉ ุนู† one minus
740
+
741
+ 186
742
+ 00:15:55,370 --> 00:16:01,390
743
+ beta ุฅูŠุด betaุŸ ู‡ูŠ beta ุงู„ู„ูŠ ู‡ูŠ probability of type
744
+
745
+ 187
746
+ 00:16:01,390 --> 00:16:04,210
747
+ two error type two error ุนุจุงุฑุฉ ุนู† failure to
748
+
749
+ 188
750
+ 00:16:04,210 --> 00:16:08,750
751
+ reject ุงู„ zero when it is false ุฎู„ุงุต ุฅุฐุง ุฏูˆู„
752
+
753
+ 189
754
+ 00:16:08,750 --> 00:16:13,750
755
+ ุงู„ุฃุฑุจุน ุฃุดู‡ุฑ ู„ุงุฒู… ุฃุนุฑูู‡ู… ููŠ ุนู†ุฏูŠ correct decision
756
+
757
+ 190
758
+ 00:16:13,750 --> 00:16:16,490
759
+ either don't reject the zero when it is true or
760
+
761
+ 191
762
+ 00:16:16,490 --> 00:16:20,070
763
+ reject the zero when it is falseType 1 Error ูŠุนู†ูŠ
764
+
765
+ 192
766
+ 00:16:20,070 --> 00:16:24,290
767
+ ุฅู†ู‡ ู…ุฌุฑุฏ ุฅุฌุงุจุฉ ุตุญูŠุญุฉ ูˆType 2 Error ู…ุฌุฑุฏ ุฅุฌุงุจุฉ
768
+
769
+ 193
770
+ 00:16:24,290 --> 00:16:28,650
771
+ ุตุญูŠุญุฉ ูˆู‡ุฐุง ูŠุนุฑููŠู‡ู… ุฃุฑุจุน ุดุฑูŠุท ู…ู‡ู…ุงุช ูˆู‡ูŠ ุงู„ู€table
772
+
773
+ 194
774
+ 00:16:28,650 --> 00:16:33,570
775
+ ุชุจุนู‡ู… ุงู„ุงู†
776
+
777
+ 195
778
+ 00:16:33,570 --> 00:16:37,490
779
+ ุงุญุฐุฑ ุงู† Alpha ู‡ูˆ level of significance ูˆAlpha ู‡ูˆ
780
+
781
+ 196
782
+ 00:16:37,490 --> 00:16:43,890
783
+ probability of Type 1 Error ุงู„ูˆุงุญุฏ
784
+
785
+ 197
786
+ 00:16:43,890 --> 00:16:44,990
787
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
788
+
789
+ 198
790
+ 00:16:44,990 --> 00:16:45,030
791
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
792
+
793
+ 199
794
+ 00:16:45,030 --> 00:16:45,090
795
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
796
+
797
+ 200
798
+ 00:16:45,090 --> 00:16:45,110
799
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
800
+
801
+ 201
802
+ 00:16:45,110 --> 00:16:45,150
803
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
804
+
805
+ 202
806
+ 00:16:45,150 --> 00:16:45,170
807
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
808
+
809
+ 203
810
+ 00:16:49,040 --> 00:16:54,440
811
+ ุงู„ูุง ู‡ูŠ ุงู„ูุง ุนุจุงุฑุฉ ุนู† probability of type one
812
+
813
+ 204
814
+ 00:16:54,440 --> 00:16:58,120
815
+ error ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆู ุงู„ุฎุทุฃ ุจูŠู† ุงู„ุฃูˆู„ ูŠุนู†ูŠ ุงุญุชู…ุงู„
816
+
817
+ 205
818
+ 00:16:58,120 --> 00:17:01,820
819
+ reject ุงู„ zero when it is true ู‡ุฐู‡ ุงู„ูุง ุทุจ ุงู„ one
820
+
821
+ 206
822
+ 00:17:01,820 --> 00:17:08,160
823
+ minus alpha is the probability ุทู„ุนุช ุชุนุฑูŠู ู„ุญุธ ู‡ู†ุง
824
+
825
+ 207
826
+ 00:17:08,160 --> 00:17:14,160
827
+ ุงู„ type one ุนุจุงุฑุฉ ุนู† reject ุงู„ zero ุฏู‡ ู…ุณุญ ุงู„ู„ูŠ
828
+
829
+ 208
830
+ 00:17:14,160 --> 00:17:23,100
831
+ ุชุญุช ุทู„ุน ุงู„ one minus alphaู‡ุฐู‡ Alpha Probability of
832
+
833
+ 209
834
+ 00:17:23,100 --> 00:17:25,560
835
+ type one error ูŠุนู†ูŠ Probability of rejecting zero
836
+
837
+ 210
838
+ 00:17:25,560 --> 00:17:28,320
839
+ when it is true ุทูŠุจ ุงู„ one minus Alpha ุนุจุงุฑุฉ ุนู†
840
+
841
+ 211
842
+ 00:17:28,320 --> 00:17:34,120
843
+ ุฃูŠุดุŸ ุนุจุงุฑุฉ ุนู† .. ู…ุง ุชู†ุณูŠุด ูƒู„ู…ุฉ Probability of ..
844
+
845
+ 212
846
+ 00:17:34,120 --> 00:17:37,820
847
+ ู†ู…ุณูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ type one error reject ู„ุง ูŠู…ูƒู†ู†ูŠ
848
+
849
+ 213
850
+ 00:17:37,820 --> 00:17:40,740
851
+ ุฃู† ุฃูุณุฑ ุงู„ุนูƒุณ not reject is Probability of not
852
+
853
+ 214
854
+ 00:17:40,740 --> 00:17:47,360
855
+ rejecting of not rejecting it zero when it is true
856
+
857
+ 215
858
+ 00:17:47,360 --> 00:17:54,330
859
+ when it is zeroIs it trueุŸ ูŠุนู†ูŠ for example ู„ูˆ
860
+
861
+ 216
862
+ 00:17:54,330 --> 00:18:00,310
863
+ alpha equal five percent ุงู„
864
+
865
+ 217
866
+ 00:18:00,310 --> 00:18:05,530
867
+ one minus alpha ุฅูŠุด ู‡ุชุณุงูˆูŠ 95% ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ู‚ู„
868
+
869
+ 218
870
+ 00:18:05,530 --> 00:18:07,550
871
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ complement ุงู„ู„ูŠ ู‡ูŠ
872
+
873
+ 219
874
+ 00:18:07,550 --> 00:18:10,150
875
+ probability of not rejecting zero when it is true
876
+
877
+ 220
878
+ 00:18:10,150 --> 00:18:14,210
879
+ The confidence level of a hypothesis test is one
880
+
881
+ 221
882
+ 00:18:14,210 --> 00:18:17,250
883
+ minus alpha times one hundred percent ู„ูˆ ุฃุทู„ุน ู†ุณุจุฉ
884
+
885
+ 222
886
+ 00:18:17,250 --> 00:18:22,960
887
+ ุงู„ู…ุฆูˆูŠุฉ ุฅูŠุด ุจุฃุนู…ู„ุŸุจุงุฌูŠ ู‡ุฐู‡ ู…ุงุฐุง ุจุนู…ู„ ููŠู‡ุงุŸ ุจุถุฑุจู‡ุง
888
+
889
+ 223
890
+ 00:18:22,960 --> 00:18:27,100
891
+ ููŠ 100 ูุชุทู„ุน ู…ุนุงูŠุง ุงูŠุดุŸ ุงุฐุง ุจุญูƒูŠ point nine five
892
+
893
+ 224
894
+ 00:18:27,100 --> 00:18:32,760
895
+ ูƒูŠู ุชุทู„ุน ู†ุณุจุงู„ูŠ ู…ู‚ุงูˆูŠุฉุŸ ุชุถุฑุจูŠู‡ุง ููŠ 100 ูู‡ุฐุง ุญุณุงุจ
896
+
897
+ 225
898
+ 00:18:32,760 --> 00:18:37,960
899
+ 95% ู‡ุฐู‡ ุจู†ุณู…ูŠู‡ุง the confidence level ูŠุนู†ูŠ ุงูŠุดุŸ
900
+
901
+ 226
902
+ 00:18:37,960 --> 00:18:44,380
903
+ ู…ุณุชูˆู‰ ุงู„ุซู‚ุฉ ุฅุฐุง ุฅุฐุง ูƒุงู† ุงู„ุฎุทุฃ 5% ุงู„ุซู‚ุฉ ุงูŠุด ุจุชูƒูˆู†ุŸ
904
+
905
+ 227
906
+ 00:18:44,380 --> 00:18:50,200
907
+ 95 ู‡ูŠ ุงู„ compliment ุจุชุงุนุชู‡ุงุฅุฐุง ุฅุฐุง Alpha ุงู„ู„ูŠ ู‡ูŠ
908
+
909
+ 228
910
+ 00:18:50,200 --> 00:18:54,680
911
+ ุชุนุฑูŠูู‡ุง ู…ุฑุฉ ุชุงู†ูŠุฉ Alpha probability of type one
912
+
913
+ 229
914
+ 00:18:54,680 --> 00:18:57,900
915
+ error ูŠุนู†ูŠ Alpha ุนุจุงุฑุฉ ุนู† probability of rejecting
916
+
917
+ 230
918
+ 00:18:57,900 --> 00:19:01,260
919
+ zero when it is true ูุงู„ one minus Alpha ุนุจุงุฑุฉ ุนู†
920
+
921
+ 231
922
+ 00:19:01,260 --> 00:19:03,640
923
+ probability of not rejecting zero when it is true
924
+
925
+ 232
926
+ 00:19:03,640 --> 00:19:08,420
927
+ ุงู„ one minus Alpha is called confidence level
928
+
929
+ 233
930
+ 00:19:08,420 --> 00:19:11,860
931
+ ู…ุณุชูˆู‰ ุงู„ุซู‚ุฉ ูู„ูˆ Alpha is one percent it means one
932
+
933
+ 234
934
+ 00:19:11,860 --> 00:19:15,680
935
+ minus Alpha is nine nine percent and so on the
936
+
937
+ 235
938
+ 00:19:15,680 --> 00:19:19,700
939
+ powerof a statistical power ุงู„ู‚ูˆุฉ ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ูŠ
940
+
941
+ 236
942
+ 00:19:19,700 --> 00:19:23,180
943
+ ุญูƒูŠุช ุนู„ูŠู‡ุง ุนุจุงุฑุฉ ุนู† ู…ูŠู† one minus beta is a
944
+
945
+ 237
946
+ 00:19:23,180 --> 00:19:26,140
947
+ probability of rejecting a zero when it is false
948
+
949
+ 238
950
+ 00:19:26,140 --> 00:19:30,320
951
+ ุงู„ู„ูŠ ูƒุงู†ุช ุฃุฎุฑ ุญุฏุซ ููŠ ุงู„ุฌุฏูˆู„ ู„ูŠู‡ุง ุฏูŠ rejected zero
952
+
953
+ 239
954
+ 00:19:30,320 --> 00:19:33,260
955
+ when it is false is called the power of the test
956
+
957
+ 240
958
+ 00:19:33,260 --> 00:19:36,780
959
+ ุฅุฐุง ุงู„ power ุนุจุงุฑุฉ ุนู† rejected zero when in fact
960
+
961
+ 241
962
+ 00:19:36,780 --> 00:19:41,340
963
+ it is false ุจุฑูุถ ุดูŠุก ุบู„ุท ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ู‚ูˆุฉ ุงู„ุงุฎุชุจุงุฑ
964
+
965
+ 242
966
+ 00:19:41,340 --> 00:19:46,990
967
+ ู‡ุฏูˆู„ definitions ุงู„ู„ูŠ ุงุนุฑููŠู‡ู…ุงู„ุงู† ู‡ู†ุนุทูŠ ููŠ two
968
+
969
+ 243
970
+ 00:19:46,990 --> 00:19:50,470
971
+ slides ุงู„ relationship between type 1 and type 2
972
+
973
+ 244
974
+ 00:19:50,470 --> 00:19:53,830
975
+ errors ุงู„ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ุฎุทุฃ ู…ู†ู‡ ุงู„ุฃูˆู„ ูˆ ุงู„ุฎุทุฃ ู…ู†
976
+
977
+ 245
978
+ 00:19:53,830 --> 00:19:54,750
979
+ ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ
980
+
981
+ 246
982
+ 00:20:14,190 --> 00:20:17,270
983
+ ุงู„ู€ type 1 ูˆ ุงู„ู€ type 2 ู„ุง ูŠู…ูƒู† ุฃู† ูŠุญุฏุซูˆุง ููŠ ู†ูุณ
984
+
985
+ 247
986
+ 00:20:17,270 --> 00:20:21,250
987
+ ุงู„ูˆู‚ุช ุงู„ุงุชู†ูŠู† ู„ุง ูŠุญุฏุซูˆุง ู…ุน ุจุนุถ ุงู„ุณุจุจ ู„ูˆ ุทู„ุนุช ุนู„ู‰
988
+
989
+ 248
990
+ 00:20:21,250 --> 00:20:26,390
991
+ ุงู„ู€ definitions ุงู„ู€ type 1 error ู„ุง ุชู†ุฌุญ ููŠ ุงู„ู€
992
+
993
+ 249
994
+ 00:20:26,390 --> 00:20:30,770
995
+ zero ูˆ ุงู„ู€ true ุงู„ู€ type 2 error ุฅุฐุง ู‡ูŠ ุงู„ู€ type 1
996
+
997
+ 250
998
+ 00:20:30,770 --> 00:20:35,150
999
+ ุชู†ุฌุญ ููŠ ุงู„ู€ zero ูˆ ุงู„ู€ true ุงู„ู€
1000
+
1001
+ 251
1002
+ 00:20:35,150 --> 00:20:39,450
1003
+ type 2 ุนูƒุณู‡ ู„ุญุธุฉ ุจู†ุญูƒูŠ ุชู†ุฌุญ ููŠ ุงู„ู€ zero ูˆ ุงู„ู€ true
1004
+
1005
+ 252
1006
+ 00:20:39,450 --> 00:20:43,580
1007
+ ุงู„ุชุงู†ูŠ ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸdon't reject a zero when it is
1008
+
1009
+ 253
1010
+ 00:20:43,580 --> 00:20:47,360
1011
+ false ุฅุฐุง ู‡ุฐูˆู„ ุงุชู†ูŠู† ู…ุงูŠุญุฏุซูˆุด ู…ุน ุจุนุถ ุฅุฐุง type one
1012
+
1013
+ 254
1014
+ 00:20:47,360 --> 00:20:53,820
1015
+ and type two errors ู†ุนู… ู…ุด ุตุญูŠุญ ูŠุนู†ูŠ ู…ู…ูƒู†ุด ุฃุฑูุถ ูˆ
1016
+
1017
+ 255
1018
+ 00:20:53,820 --> 00:20:59,180
1019
+ ุฃู‚ุจู„ ููŠ ู†ูุณ ุงู„ู„ุญุธุฉ ู…ุธุจูˆุท
1020
+
1021
+ 256
1022
+ 00:20:59,180 --> 00:21:02,420
1023
+ ู‡ูŠูƒ ุฅุฐุง type one and type two errors cannot happen
1024
+
1025
+ 257
1026
+ 00:21:02,420 --> 00:21:08,090
1027
+ at the same timeุงู„ุณุจุจ ุฒูŠ ุฒู…ูŠู„ุชูƒ ุจุญูƒุช type 1 error
1028
+
1029
+ 258
1030
+ 00:21:08,090 --> 00:21:12,930
1031
+ can only occur if its 0 is true ู…ุธุจูˆุท type 1
1032
+
1033
+ 259
1034
+ 00:21:12,930 --> 00:21:17,950
1035
+ rejects 0 when it is true type 2 can only occur if
1036
+
1037
+ 260
1038
+ 00:21:17,950 --> 00:21:21,930
1039
+ its 0 is false ุงู„ู„ูŠ ู‡ูŠ we don't reject its 0 when
1040
+
1041
+ 261
1042
+ 00:21:21,930 --> 00:21:26,050
1043
+ it is false for this reason type 1 and 2 error
1044
+
1045
+ 262
1046
+ 00:21:26,050 --> 00:21:31,750
1047
+ cannot happen at the same time ู„ุฃู† ููŠ ูˆุงุญุฏุจูŠุญุฏุซ
1048
+
1049
+ 263
1050
+ 00:21:31,750 --> 00:21:35,670
1051
+ ู„ู…ุง H0 ุชูƒูˆู† ุตุญูŠุญุฉ ูˆ ุชุงู†ูŠ ุจูŠุญุฏุซ ุฅุฐุง ูƒุงู†ุช ุงู„ู€0 ุฎุงุทุฆุฉ
1052
+
1053
+ 264
1054
+ 00:21:35,670 --> 00:21:39,790
1055
+ ูˆุจุงู„ุชุงู„ูŠ ุญุฏูˆุซู‡ู… ู…ุน ุจุนุถ ุจูŠูƒูˆู† conflict of interest
1056
+
1057
+ 265
1058
+ 00:21:39,790 --> 00:21:43,190
1059
+ ู…ูˆุฌูˆุด ู…ุน ุจุนุถ ูุจุงู„ุชุงู„ูŠ ู…ุด ู…ู…ูƒู† ูŠุญุฏุซ ุงู† ุงู„ type I ุฃูˆ
1060
+
1061
+ 266
1062
+ 00:21:43,190 --> 00:21:45,470
1063
+ ุงู„ type II error happened at the same time
1064
+
1065
+ 267
1066
+ 00:21:45,470 --> 00:21:49,990
1067
+ furthermore if type I error probability ฮฑ
1068
+
1069
+ 268
1070
+ 00:21:49,990 --> 00:21:53,950
1071
+ increases ุฅุฐุง Alpha ุฒุงุฏุช ุงู„ type II error
1072
+
1073
+ 269
1074
+ 00:21:53,950 --> 00:21:59,150
1075
+ probability decreases ูŠุนู†ูŠ ุฅุฐุง type I error ุฒุงุฏุงู„ู€
1076
+
1077
+ 270
1078
+ 00:21:59,150 --> 00:22:03,630
1079
+ 1-L ุงู„ู€ Beta ู†ูุณู‡ุง ู…ุงู„ู‡ุง ุจุชู‚ู„ ูŠุนู†ูŠ ููŠ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ
1080
+
1081
+ 271
1082
+ 00:22:03,630 --> 00:22:06,230
1083
+ ู…ุง ุจูŠู† ุงู„ุฃุชู†ูŠู† ุฅุฐุงู‹ there is inverse relationship
1084
+
1085
+ 272
1086
+ 00:22:06,230 --> 00:22:08,810
1087
+ between type 1 and type 2 here ุฅุฐุงู‹ if Alpha
1088
+
1089
+ 273
1090
+ 00:22:08,810 --> 00:22:13,770
1091
+ increases Beta ู…ุงู„ู‡ุง decreases ุทุจ ุฃุญูƒูŠ Alpha
1092
+
1093
+ 274
1094
+ 00:22:13,770 --> 00:22:23,370
1095
+ ุจุงู„ุฒูŠุฏ ุงู„ Beta ู…ุงู„ู‡ุง ุจุชู‚ู„ ุทุจ ุงู„ 1-Beta ู„ู…ุง ุจุญูƒูŠ
1096
+
1097
+ 275
1098
+ 00:22:23,370 --> 00:22:32,020
1099
+ Beta ู†ู‚ุตุชุงู„ูˆุงุญุฏ ู†ู‚ุต ุจูŠุชุง ู…ุงู„ู‡ ุจุฒูŠุฏ ุทุจุนุง ู…ุด ุนู†ุฏูƒ
1100
+
1101
+ 276
1102
+ 00:22:32,020 --> 00:22:35,140
1103
+ ูˆุงุญุฏ ู†ู‚ุต ุจูŠุชุง ูŠุนู†ูŠ ุชุฎูŠู„ูŠ ุจูŠุชุง ุจุชุณุงูˆูŠ ุงุชู†ูŠู† ู…ู†
1104
+
1105
+ 277
1106
+ 00:22:35,140 --> 00:22:40,600
1107
+ ุงู„ู…ูŠุฉ ุงูŠุด ูˆุงุญุฏ ู†ู‚ุต ุจูŠุชุง ุงูŠ ุจูŠุชุง one minus ุจูŠุชุง ู„ูˆ
1108
+
1109
+ 278
1110
+ 00:22:40,600 --> 00:22:46,540
1111
+ ู‡ุงุฏ ุจุงุชู†ูŠู† ุงูŠุด ู‡ุชูƒูˆู† ู„ูˆ ู‡ุงุฏ ุจุชู„ุงุชุฉ ู„ูˆ ู‡ุงุฏ ุจู‚ู‰
1112
+
1113
+ 279
1114
+ 00:22:46,540 --> 00:22:52,310
1115
+ ุงุฑุจุนุฉ ู…ุงุนูƒุฏุงูƒู„ beta ู…ุง ุจูŠุฒูŠุฏ ุงู„ one minus beta
1116
+
1117
+ 280
1118
+ 00:22:52,310 --> 00:22:56,450
1119
+ ู…ุงู„ู‡ ุจูŠู‚ู„ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ุจูŠู†ู‡ู… ูุงู„ beta ุงู„ู„ูŠ ู…ุงุจุชู‚ู„
1120
+
1121
+ 281
1122
+ 00:22:56,450 --> 00:23:00,930
1123
+ ุงู„ one minus beta ู…ุงู„ู‡ุง ุจูŠุฒูŠุฏ ุงุฐุง alpha ุจูŠุฒูŠุฏ ูˆ
1124
+
1125
+ 282
1126
+ 00:23:00,930 --> 00:23:07,930
1127
+ beta ู…ุงู„ู‡ุง ุจูŠู‚ู„ ู‡ุฐุง ูˆุงุญุฏ all else equal beta
1128
+
1129
+ 283
1130
+ 00:23:07,930 --> 00:23:12,930
1131
+ decreases ูˆูƒุชุด ุงู„ beta ุจูŠุฒูŠุฏ ุงูŠุด ุงู„ beta ุงู„ู„ูŠ ู‡ูŠ
1132
+
1133
+ 284
1134
+ 00:23:12,930 --> 00:23:18,070
1135
+ don't reject zero when .. ุฎู„ูŠู†ูŠ ุงูƒุชุจ ุจุชุงุนุฉ ู‡ูŠ ุงู„
1136
+
1137
+ 285
1138
+ 00:23:18,070 --> 00:23:29,870
1139
+ betafail or failure to reject its zero when it is
1140
+
1141
+ 286
1142
+ 00:23:29,870 --> 00:23:34,650
1143
+ false failure to reject when it is false ุจุญูƒูŠ beta
1144
+
1145
+ 287
1146
+ 00:23:34,650 --> 00:23:40,390
1147
+ increases ูŠุนู†ูŠ ุนุฏู… ุฑูุถุฉ ุงู„ูุฑุฏูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆ ู‡ูŠ ุบู„ุท
1148
+
1149
+ 288
1150
+ 00:23:41,780 --> 00:23:46,540
1151
+ ู‡ุฐุง ุจุฒูŠุฏ ุงุญุชู…ุงู„ ุนุฏู… ุฑูุถูƒ ู„ุดูŠุก ุฎุงุทุฆ ุจุฒูŠ๏ฟฝ๏ฟฝ ู‡ุฐุง ุจุญุฏุซ
1152
+
1153
+ 289
1154
+ 00:23:46,540 --> 00:23:49,540
1155
+ ููŠุงู† when the difference between the hypothesized
1156
+
1157
+ 290
1158
+ 00:23:49,540 --> 00:23:53,880
1159
+ parameter and true parameter decreases ู„ู…ุง ูŠูƒูˆู†
1160
+
1161
+ 291
1162
+ 00:23:53,880 --> 00:23:59,560
1163
+ ุงู„ูุฑู‚ ู…ุง ุจูŠู† beta ุจุฒูŠุฏ ุงู„ุฎุทุฃ ู‡ุฐุง ุจุฒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุฑูุถูƒ
1164
+
1165
+ 292
1166
+ 00:23:59,560 --> 00:24:02,620
1167
+ ุนุฏู… ุฑูุถูƒ ุงู„ูุฑุงุฏูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ ููŠ ุงู„ูˆุงู‚ุน ุฎุงุทุฆุฉ ู‡ุฐุง
1168
+
1169
+ 293
1170
+ 00:24:02,620 --> 00:24:05,800
1171
+ ุจุฒูŠุฏ ู„ู…ุง ุงู„ูุฑู‚ between ุงู„ hypothesized parameter
1172
+
1173
+ 294
1174
+ 00:24:05,800 --> 00:24:10,640
1175
+ and true value decreases ูŠุนู†ูŠ ูƒูŠู ุชุฐูƒุฑ ุญูƒูŠู†ุง mu
1176
+
1177
+ 295
1178
+ 00:24:10,640 --> 00:24:18,160
1179
+ equal to 30ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง 30 hypothes parameter ู‡ุฐู‡
1180
+
1181
+ 296
1182
+ 00:24:18,160 --> 00:24:23,420
1183
+ ู†ุณู…ูŠู‡ุง hypothes parameter
1184
+
1185
+ 297
1186
+ 00:24:23,420 --> 00:24:27,780
1187
+ ูˆุงู„ู€
1188
+
1189
+ 298
1190
+ 00:24:27,780 --> 00:24:35,060
1191
+ x bar equal for example is 26 ุจู†ุณู…ูŠู‡ุง ุงู„ true
1192
+
1193
+ 299
1194
+ 00:24:35,060 --> 00:24:37,080
1195
+ value ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ sample mean
1196
+
1197
+ 300
1198
+ 00:24:41,220 --> 00:24:42,920
1199
+ ู‡ูˆ ุจูŠุญูƒูŠ where is the difference between a
1200
+
1201
+ 301
1202
+ 00:24:42,920 --> 00:24:48,400
1203
+ hypothesized parameter ู‡ุฐุง ุฃู†ุง ุจูุชุฑุถู‡ุง ููŠ ุนู†ุฏูŠ ุงู„
1204
+
1205
+ 302
1206
+ 00:24:48,400 --> 00:24:53,420
1207
+ true parameter ู‡ุฐุง ุงู„ true parameter ู„ู…ุง
1208
+
1209
+ 303
1210
+ 00:24:53,420 --> 00:24:55,780
1211
+ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ุฉ ุงู„ hypothesized
1212
+
1213
+ 304
1214
+ 00:24:55,780 --> 00:24:59,020
1215
+ ุงู„ุชู„ุงุชูŠู† ูˆ ุงู„ true parameter decreases ุงู„ beta
1216
+
1217
+ 305
1218
+ 00:24:59,020 --> 00:25:03,340
1219
+ ู…ุงู„ู‡ุง ุจุชุฒูŠุฏ ุงุฐุง ูƒู„ ู…ุง ูƒุงู† ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ู‚ูŠู…ุฉ
1220
+
1221
+ 306
1222
+ 00:25:03,340 --> 00:25:07,400
1223
+ ุงู„ุงูุชุฑุงุถูŠุฉ ู‡ู†ุง ูˆ ุงู„ population ูŠุนู†ูŠ ู†ูุณ ุงู„ true
1224
+
1225
+ 307
1226
+ 00:25:07,400 --> 00:25:12,640
1227
+ parameter ูƒู„ ู…ุง ุฒุบุฑ ุงู„ beta ู…ุงู„ู‡ุง ุจุชุฒูŠุฏุงู„ุจุนุฏุฉ beta
1228
+
1229
+ 308
1230
+ 00:25:12,640 --> 00:25:16,280
1231
+ decreases ู…ู† alpha ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุดูˆูŠุฉ decrease ูŠุนู†ูŠ
1232
+
1233
+ 309
1234
+ 00:25:16,280 --> 00:25:19,920
1235
+ beta ุจุงู„ุฒูŠุฏ ู„ู…ุง ุงุชู†ูŠู† ุนูƒุณ ุจุนุถ alpha ุจุชู‚ู„ beta
1236
+
1237
+ 310
1238
+ 00:25:19,920 --> 00:25:23,520
1239
+ ุจุงู„ุฒูŠุฏ ู„ู…ุง ุณูŠุฌู…ุง ุจุงู„ุฒูŠุฏ ูŠุนู†ูŠ ูƒู„ ุงู„ุญุฑู ุงู„ู…ูŠุงุฑูŠ ู…ุฒุงุฏ
1240
+
1241
+ 311
1242
+ 00:25:23,520 --> 00:25:30,800
1243
+ beta ู…ุง ู„ู‡ุง ุจุชุฒูŠุฏ ุงู„ุฃุฎูŠุฑุฉ beta ุจุงู„ุฒูŠุฏ ู„ู…ุง n ู…ุง ู„ู‡ุง
1244
+
1245
+ 312
1246
+ 00:25:30,800 --> 00:25:35,720
1247
+ decreases ู…ุนู†ุงู‡ ูƒุฏู‡ ููŠ inverse relationship
1248
+
1249
+ 313
1250
+ 00:25:35,720 --> 00:25:36,820
1251
+ between beta ูˆู…ูŠู†
1252
+
1253
+ 314
1254
+ 00:25:40,350 --> 00:25:43,370
1255
+ ุงู„ุงุฎุชู„ุงู ุจูŠู† ุงู„ู€ hypothes and true value ุฏูŠ ูˆุงุญุฏ
1256
+
1257
+ 315
1258
+ 00:25:43,370 --> 00:25:48,670
1259
+ ูˆุด ุงู„ุชุงู†ูŠุฉุŸ Beta ูˆ Alpha ูˆ ุงู„ุชุงู„ุชุฉ Beta ูˆ ุฃู†ุง ู‡ุฐูˆู„
1260
+
1261
+ 316
1262
+ 00:25:48,670 --> 00:25:54,230
1263
+ ูƒู„ู‡ู… ุนู„ุงู‚ุฉ ู…ุงู„ู‡ุง ุนูƒุณูŠุฉ ุทุจ ู‡ุชุฑุถูŠู‡ุง ู…ุน ู…ูŠู†ุŸ ุจุณ ู…ุน
1264
+
1265
+ 317
1266
+ 00:25:54,230 --> 00:25:59,250
1267
+ Sigma ุฎู„ุงุตุŸ so there is direct relationship
1268
+
1269
+ 318
1270
+ 00:25:59,250 --> 00:26:06,010
1271
+ between Beta and Sigma Beta is .. ุฅูŠุด ุณู…ูŠู†ุง BetaุŸ
1272
+
1273
+ 319
1274
+ 00:26:16,370 --> 00:26:24,870
1275
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุงู† ูˆุงู„ุฃู„ู
1276
+
1277
+ 320
1278
+ 00:26:24,870 --> 00:26:34,830
1279
+ ู‡ูˆ ุงู„ู‡ูŠุจูˆุชุงูŠุฒ ุจุฑุงู…ุชู‡ุง ูˆู‚ูŠู…ุชู‡ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ุชุงู„ูŠุฉ
1280
+
1281
+ 321
1282
+ 00:26:34,830 --> 00:26:39,930
1283
+ ู‡ูŠ level of significance Alphaูˆุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ
1284
+
1285
+ 322
1286
+ 00:26:39,930 --> 00:26:45,570
1287
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฃูƒุฏ ู…ู† ุงู„ู‚ูŠู… ุงู„ูƒุฑูŠู…ุฉ ูˆูƒุฐู„ูƒ ู…ู†
1288
+
1289
+ 323
1290
+ 00:26:45,570 --> 00:26:47,670
1291
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ูƒุฑูŠู…ุฉ ุฏุนูˆู†ุง ู†ุฑู‰
1292
+
1293
+ 324
1294
+ 00:27:06,290 --> 00:27:12,550
1295
+ ุงู„ุงู† ุงุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ุงูƒูˆุงู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ
1296
+
1297
+ 325
1298
+ 00:27:12,550 --> 00:27:18,750
1299
+ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ
1300
+
1301
+ 326
1302
+ 00:27:18,750 --> 00:27:21,710
1303
+ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1304
+
1305
+ 327
1306
+ 00:27:21,710 --> 00:27:27,950
1307
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1308
+
1309
+ 328
1310
+ 00:27:27,950 --> 00:27:30,050
1311
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1312
+
1313
+ 329
1314
+ 00:27:30,050 --> 00:27:32,530
1315
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1316
+
1317
+ 330
1318
+ 00:27:32,530 --> 00:27:35,130
1319
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1320
+
1321
+ 331
1322
+ 00:27:38,150 --> 00:27:44,350
1323
+ ู‡ูŠุทู„ุน ุนู†ุฏู‰ two rejection regions ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ left
1324
+
1325
+ 332
1326
+ 00:27:44,350 --> 00:27:47,650
1327
+ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ right ู‡ุฐู‡ ุงู„ุฃุตูˆุงุช represent ู„
1328
+
1329
+ 333
1330
+ 00:27:47,650 --> 00:27:53,590
1331
+ critical values ุงุฐุง ุงู„ points ู‡ุฏูˆู„ critical values
1332
+
1333
+ 334
1334
+ 00:27:53,590 --> 00:27:58,150
1335
+ critical values
1336
+
1337
+ 335
1338
+ 00:27:58,150 --> 00:28:05,030
1339
+ ุฎู„ูŠู†ูŠ ุฃุณู…ูŠู‡ุง critical value
1340
+
1341
+ 336
1342
+ 00:28:06,740 --> 00:28:10,240
1343
+ ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ุง ู†ู‚ุทุฉ ุงู„ุญุฑุฌุฉ ูˆู‡ู†ุง ูƒู…ุงู† ููŠ ูˆุงุญุฏุฉ ูˆู‡ูŠ
1344
+
1345
+ 337
1346
+ 00:28:10,240 --> 00:28:15,260
1347
+ critical value ุชุงู†ูŠุฉ ุงุฐุง in case of two-tailed
1348
+
1349
+ 338
1350
+ 00:28:15,260 --> 00:28:24,780
1351
+ test ู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุญุฏุฉ two-tailed test ูŠุนู†ูŠ ุงุฎุชุจุงุฑ ู…ู†
1352
+
1353
+ 339
1354
+ 00:28:24,780 --> 00:28:32,980
1355
+ ุทุฑููŠู† ุงู„ู€ 30 against 30 is not 30 ุงุฎุชุจุงุฑ
1356
+
1357
+ 340
1358
+ 00:28:32,980 --> 00:28:33,560
1359
+ ู…ู† ุทุฑููŠู†
1360
+
1361
+ 341
1362
+ 00:28:36,150 --> 00:28:40,830
1363
+ ุงู„ู€ test ู…ุนู†ุงู‡ุง ุงุฎุชุจุงุฑ ุงู„ู€ two ู…ุนู†ุงู‡ุง ุงุชู†ูŠู† ุงูƒุชุฑ
1364
+
1365
+ 342
1366
+ 00:28:40,830 --> 00:28:46,370
1367
+ ู…ุนู†ุงู‡ุง ุทุฑู ุชุทู„ุน ุงุฎุชุจุงุฑ ู…ู† ุงู„ุทุฑููŠู† ู…ุธุจูˆุท ุงู„ mean
1368
+
1369
+ 343
1370
+ 00:28:46,370 --> 00:28:52,390
1371
+ ุทุจุนุง ุงู„ value in the center now
1372
+
1373
+ 344
1374
+ 00:28:52,390 --> 00:28:54,510
1375
+ the question is how can we determine these
1376
+
1377
+ 345
1378
+ 00:28:54,510 --> 00:28:58,110
1379
+ critical values one to the right and other to the
1380
+
1381
+ 346
1382
+ 00:28:58,110 --> 00:29:04,010
1383
+ left now we have level of significance alphaุงู„ูุง
1384
+
1385
+ 347
1386
+ 00:29:04,010 --> 00:29:07,970
1387
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ูŠ ู…ุตุทู„ุญุฉ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุนู†ุฏู…ุง ุชู†ุชู‚ู„ ุฅู„ู‰
1388
+
1389
+ 348
1390
+ 00:29:07,970 --> 00:29:11,550
1391
+ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„
1392
+
1393
+ 349
1394
+ 00:29:11,550 --> 00:29:12,130
1395
+ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„
1396
+
1397
+ 350
1398
+ 00:29:12,130 --> 00:29:14,750
1399
+ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰
1400
+
1401
+ 351
1402
+ 00:29:14,750 --> 00:29:19,150
1403
+ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„
1404
+
1405
+ 352
1406
+ 00:29:19,150 --> 00:29:25,030
1407
+ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„
1408
+
1409
+ 353
1410
+ 00:29:25,030 --> 00:29:28,170
1411
+ ุชู†ู‚ู„
1412
+
1413
+ 354
1414
+ 00:29:32,600 --> 00:29:39,560
1415
+ ุงู„ุจูŠุงู†ุฉ ู„ู† ุชูƒูˆู† 95% ู„ูƒูŠู† ู…ู…ูƒู† ุชุทู„ุน ุงู„ value ู‡ุฐุง ูˆ
1416
+
1417
+ 355
1418
+ 00:29:39,560 --> 00:29:47,540
1419
+ ุงู„ุชุงู†ูŠุฉ ุชุทู„ุน ุงู„ value ู‡ุฐุง ูˆ ุงู„ุชุงู†ูŠุฉ ุชุทู„ุน
1420
+
1421
+ 356
1422
+ 00:29:47,540 --> 00:29:51,300
1423
+ ุงู„ value ู‡ุฐุง ูˆ
1424
+
1425
+ 357
1426
+ 00:29:51,300 --> 00:30:00,620
1427
+ ุงู„ุชุงู†ูŠุฉ ุชุทู„ุน ุงู„
1428
+
1429
+ 358
1430
+ 00:30:01,540 --> 00:30:08,340
1431
+ ุงู„ู„ูŠ ุนู„ูŠ ูŠู…ูŠู†ู‡ุง 2.5% ูŠุนู†ูŠ ุนู„ูŠ ุฃุณุงุฑู‡ุง ูƒุฏู‡ ุฅุฐุง ุนู„ูŠ
1432
+
1433
+ 359
1434
+ 00:30:08,340 --> 00:30:13,460
1435
+ ูŠู…ูŠู†ู‡ุง 2.5% ุฅูŠุด ุจูŠูƒูˆู† ุนู„ูŠ ุงู„ุดู…ุงู„ 97.5% ุฃูˆ ุฃุทู„ุน
1436
+
1437
+ 360
1438
+ 00:30:13,460 --> 00:30:16,420
1439
+ ุงู„ูƒุชุงุจุฉ ุงู„ value ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ุนู„ูŠ ุฃุณุงุฑู‡ุง 2.5%
1440
+
1441
+ 361
1442
+ 00:30:16,420 --> 00:30:20,780
1443
+ ุทุจุนุง ู„ุณู‡ ู‡ุทู„ุน ุญุงุฏุฉ ู…ุจุงุดุฑุฉ ู…ู† ุงู„ุฌุฏูˆู„ ู…ุธุจูˆุท ุทู„ุน
1444
+
1445
+ 362
1446
+ 00:30:20,780 --> 00:30:24,540
1447
+ ุงู„ุฌุฏูˆู„ ุนู„ู‰ 2.5% 0.25 ุฅูŠุด ุงู„ู‚ูŠู…ุฉ ุจุชุณุงูˆูŠ
1448
+
1449
+ 363
1450
+ 00:30:35,840 --> 00:30:41,680
1451
+ ุจุทู„ุน ุนู„ู‰ ุงู„ table ุนู„ู‰ IZ
1452
+
1453
+ 364
1454
+ 00:30:41,680 --> 00:30:52,260
1455
+ table ุงู†ุง ุจุฏูˆุฑ ุนู„ู‰ 025 ุจุทู„ุน
1456
+
1457
+ 365
1458
+ 00:30:52,260 --> 00:30:57,960
1459
+ in the body of the table ุนู„ู‰ 025 ูˆูŠู† ู…ูˆุฌูˆุฏุฉุŸ
1460
+
1461
+ 366
1462
+ 00:31:00,870 --> 00:31:06,170
1463
+ ู…ุด ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุฅุฐุง
1464
+
1465
+ 367
1466
+ 00:31:06,170 --> 00:31:12,090
1467
+ ุณุงู„ุจ one point nine under six ุฅุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ู†ุง
1468
+
1469
+ 368
1470
+ 00:31:12,090 --> 00:31:19,110
1471
+ ุณุงู„ุจ ู‡ูŠ negative one point nine six ู…ุธุจูˆุท ุฅุฐุง ู‡ูŠ
1472
+
1473
+ 369
1474
+ 00:31:19,110 --> 00:31:24,050
1475
+ ุงู„ table ู…ุฏูˆุฑุฉ zero to five ูˆุงุถุญ ุฅู† ุชุญุช ุณุงู„ุจ one
1476
+
1477
+ 370
1478
+ 00:31:24,050 --> 00:31:31,330
1479
+ nine under six ุงู„ู…ูุฑูˆุถ ุงู„ุชุงู†ูŠุฉู„ุฃู† ุนูŠู…ูŠู†ู‡ุง 0.25 ูˆ
1480
+
1481
+ 371
1482
+ 00:31:31,330 --> 00:31:35,630
1483
+ ุฏุง ุนูŠุณุงุฑู‡ุง 0.25 the same value ุจุณ ุจุฅุดุงุฑุฉ ู…ุฎุชู„ูุฉ
1484
+
1485
+ 372
1486
+ 00:31:35,630 --> 00:31:41,030
1487
+ ู‡ุฐุง negative 196 ุฅุฐุง ุฃู†ุง should be positive ู‡ุฏูˆู„
1488
+
1489
+ 373
1490
+ 00:31:41,030 --> 00:31:45,170
1491
+ ุจุชุณู…ูŠู‡ู… critical values ู„ุฐุง ุงู„ critical values
1492
+
1493
+ 374
1494
+ 00:31:45,170 --> 00:31:48,450
1495
+ ุจุชุทู„ุน ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ z table ูˆ ุงู„ z table ุฃุฎุฏู†ุง
1496
+
1497
+ 375
1498
+ 00:31:48,450 --> 00:31:55,310
1499
+ ูˆูŠู†ุŸ ุดุฑุทุฑ 6 ูˆ ุจุนุฏ ูƒุฏู‡ ุดุฑุทุฑ 6 ู…ู‡ู… ููŠ ุดุฑุทุฑ 9 ู…ุธุจูˆุทุŸ
1500
+
1501
+ 376
1502
+ 00:31:55,310 --> 00:32:01,460
1503
+ ููŠ ุฃูŠ ุณุคุงู„ุŸุฅูŠุด ู„ุนุจู‡ุง ูƒุฏู‡ ุฃูู‡ู… ู…ุง ู…ุนู†ุงู‡ุงุŸ ู…ุงููŠุด
1504
+
1505
+ 377
1506
+ 00:32:01,460 --> 00:32:06,140
1507
+ ุณุคุงู„ ุทุจ ุงู„ุญู…ุฏ ู„ู„ู‡ ู‡ุฐุง ูุถู„ ู…ู† ุฑุจู†ุง ุฃู†ุง ู…ุด ูุงู‡ู… ู‡ูˆ
1508
+
1509
+ 378
1510
+ 00:32:06,140 --> 00:32:11,380
1511
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฅูŠู‡ ุงู„ู„ูŠ ู…ุนู†ูŠู† ู‡ู… ุฃู†ุง ู…ุด ูุงู‡ู… ุฃูˆ ู…ุงุดูŠ
1512
+
1513
+ 379
1514
+ 00:32:11,380 --> 00:32:17,580
1515
+ ุนู„ูŠู‡ ุจุนุฏู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ ู‡ุฐุง two-tailed ุงู„ู„ูŠ
1516
+
1517
+ 380
1518
+ 00:32:17,580 --> 00:32:20,660
1519
+ ู‚ุงู„ ุงู„ูƒุชุงุจ ูˆุงุฌู ู„ุบุงูŠุฉ ู‡ู†ุง ูˆ ุจุนุฏูŠู† ู…ุงุนุทูŠ example
1520
+
1521
+ 381
1522
+ 00:32:20,660 --> 00:32:28,580
1523
+ ุฃู†ุง ู…ุด ู‡ุนู…ู„ ุฒูŠู‡ ุฃู†ุง ู‡ูƒู…ู„ ู‡ุนุทูŠูƒูŠ one-tailedright ุงูˆ
1524
+
1525
+ 382
1526
+ 00:32:28,580 --> 00:32:34,500
1527
+ left ุงุฐุง
1528
+
1529
+ 383
1530
+ 00:32:34,500 --> 00:32:38,560
1531
+ ุฑู‚ู…
1532
+
1533
+ 384
1534
+ 00:32:38,560 --> 00:32:49,260
1535
+ ุงุชู†ูŠู† ู‡ุงุฎุฏ upper tail ุงูŠุด upper tail ุงู„ุทุฑู
1536
+
1537
+ 385
1538
+ 00:32:49,260 --> 00:32:53,420
1539
+ ุงู„ุงุนู„ู‰ ู‡ุฐุง ุงู„ lower tail ู„ุญุธุฉ ู…ูŠูˆ ุฏูˆุณุช ู†ูˆุช ุงูŠูƒูˆู„
1540
+
1541
+ 386
1542
+ 00:32:53,420 --> 00:32:58,040
1543
+ ุชูŠุฑุชูŠู‡ ููŠ ุงู„ upper tail ุงูŠุด ู‡ูŠูƒูˆู† ู‡ูŠูƒูˆู† ู‡ูŠูƒู…ูŠูˆ
1544
+
1545
+ 387
1546
+ 00:32:58,040 --> 00:33:07,420
1547
+ ุงูƒูˆุงู„ ุชุฑุชู‚ ูˆ ุงู„ H1 ุชูƒูˆู† ุงูƒุจุฑ ูŠุนู†ูŠ ุงูŠุด ุงูƒุจุฑ ู…ุนู†ุงู‡
1548
+
1549
+ 388
1550
+ 00:33:07,420 --> 00:33:10,660
1551
+ ูƒุฏู‡ ุงู„ rejection region ู‡ุชูƒูˆู† ูˆุงุญุฏุฉ ูˆู„ุง ุงุชู†ุชูŠู†
1552
+
1553
+ 389
1554
+ 00:33:10,660 --> 00:33:12,800
1555
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1556
+
1557
+ 390
1558
+ 00:33:12,800 --> 00:33:13,180
1559
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1560
+
1561
+ 391
1562
+ 00:33:13,180 --> 00:33:13,220
1563
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1564
+
1565
+ 392
1566
+ 00:33:13,220 --> 00:33:13,320
1567
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1568
+
1569
+ 393
1570
+ 00:33:13,320 --> 00:33:17,160
1571
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1572
+
1573
+ 394
1574
+ 00:33:17,160 --> 00:33:20,520
1575
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1576
+
1577
+ 395
1578
+ 00:33:20,520 --> 00:33:23,940
1579
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1580
+
1581
+ 396
1582
+ 00:33:26,390 --> 00:33:29,170
1583
+ ุฎู„ู‘ูˆุง ูŠุงูƒ ุงู†ุง ุจุญูƒูŠ level of significance alpha
1584
+
1585
+ 397
1586
+ 00:33:29,170 --> 00:33:35,790
1587
+ ู‡ุชูƒูˆู† ุนู†ุฏ 5% ู…ุด ูƒุฏู‡ุŸ ู„ูˆ ู†ูุชุฑุถ alpha ุจ 5 ุทูŠุจ ุงู„ู†ู‚ุทุฉ
1588
+
1589
+ 398
1590
+ 00:33:35,790 --> 00:33:39,790
1591
+ ุฏูŠ ุญุณุงูˆูŠุฉุŒ ุญุณุงูˆูŠุฉ Z ุนู†ุฏ 5% ูŠุนู†ูŠ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ุนู„ู‰
1592
+
1593
+ 399
1594
+ 00:33:39,790 --> 00:33:43,570
1595
+ ูŠู…ูŠู†ู‡ุง 5% ุงู„ table ุจูŠุนุทูŠุด ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ุจูŠุนุทูŠ ูˆูŠู†ุŸ
1596
+
1597
+ 400
1598
+ 00:33:43,570 --> 00:33:50,210
1599
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ ุจุตูŠุฑ 95 ู…ุด ู‡ูŠูƒุŸ ุฏู‡ ุฏูˆุฑ ู‡ุฐุง ุนู„ู‰ 95
1600
+
1601
+ 401
1602
+ 00:33:50,210 --> 00:33:53,960
1603
+ ุฅุฐุง ู„ุงุญุธ ุฃู† ุฃู†ุง ุจุฑุถู‡ ุฑุฌุนุช ุนู„ู‰ ุฌุฏูˆู„ุงู„ู„ูŠ ุงุชุนู„ู…ู†ุง
1604
+
1605
+ 402
1606
+ 00:33:53,960 --> 00:33:58,780
1607
+ ุนู„ูŠู‡ ู‚ุจู„ ู‡ูŠูƒ 95 ููŠ ุงู„ positive z score ุฃูƒูŠุฏ ู…ุด ู‡ูŠูƒ
1608
+
1609
+ 403
1610
+ 00:33:58,780 --> 00:34:05,380
1611
+ ุงู„ positive 95 ูˆูŠู† ู…ูˆุฌูˆุฏุฉ ุชุชุฐูƒุฑูˆุง ุนู…ู„ู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒ
1612
+
1613
+ 404
1614
+ 00:34:05,380 --> 00:34:11,100
1615
+ ุนู…ู„ู†ุงู‡ุง average ุญูƒูŠู†ุง
1616
+
1617
+ 405
1618
+ 00:34:11,100 --> 00:34:20,140
1619
+ ููŠ ูˆุงุญุฏุฉ 945 ูˆุงุญุฏุฉ 9505 ุญูƒูŠู†ุง ุงู„ุฌูˆุงุจ 1.6 under 4
1620
+
1621
+ 406
1622
+ 00:34:20,140 --> 00:34:29,070
1623
+ ุงูˆ 1.6 under 5ุงูˆ ุงู„ average ู…ู…ุชุงุฒ 1645 ุงุฐุง 1.645
1624
+
1625
+ 407
1626
+ 00:34:29,070 --> 00:34:37,610
1627
+ ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ critical value ู…ุธุจูˆุท ู†ุณูŠุชู‡ ูู‰ ูƒูˆูŠุณ
1628
+
1629
+ 408
1630
+ 00:34:37,610 --> 00:34:42,550
1631
+ ู†ุณูˆูŠ ุนู„ู‰ ุงู„ุฌู‡ุฉ ู‡ู‰ ุฑูƒุฒู‰ ู…ุนุงู‰ ุงู†ุง ุจุฏูˆุฑ ุนุงู„ู…ูŠุง ุนู„ู‰ 95
1632
+
1633
+ 409
1634
+ 00:34:42,550 --> 00:34:49,350
1635
+ 95 ุจุงู„ุธุจุท ู…ุด ู…ูˆุฌูˆุฏุฉ ู…ุด ู…ูˆุฌูˆุฏ ู…ูˆุฌูˆุฏ ู‚ูŠู…ุชูŠู† ุฒูŠ ู‡ูŠูƒ
1636
+
1637
+ 410
1638
+ 00:34:49,350 --> 00:34:50,270
1639
+ ูˆุงุญุฏุฉ
1640
+
1641
+ 411
1642
+ 00:34:52,570 --> 00:34:58,590
1643
+ 9495 ูŠุนู†ูŠ ุจุชุฎู„ 5 ู…ู† 10 ุฃู„ู ุนู†ู‡ุง ูˆ ู‡ุฐุง ุชุญุช ู…ู† 1.6
1644
+
1645
+ 412
1646
+ 00:34:58,590 --> 00:35:06,090
1647
+ ุชุญุช ุงู„ 4 ูŠุนู†ูŠ ุงู„ุฌูˆุงุจ ู…ู…ูƒู† ูŠูƒูˆู† 1.64 ุงูˆ ู„ูˆ ุฃุฎุฏุช
1648
+
1649
+ 413
1650
+ 00:35:06,090 --> 00:35:15,970
1651
+ ุงู„ุจุงุนุฏุฉ ุงู„ุจุงุนุฏุฉ ุงู„ู„ูŠ ู‡ูŠ 9505 ุชุญุช
1652
+
1653
+ 414
1654
+ 00:35:15,970 --> 00:35:18,610
1655
+ ุงู„ 5 ู…ู† 100 ูุงู„ุฌูˆุงุจ ู…ู…ูƒู† ูŠูƒูˆู† 1.65
1656
+
1657
+ 415
1658
+ 00:35:21,850 --> 00:35:27,170
1659
+ ุงู„ุฃูุถู„ ุงู„ู€ value in the middle because 95%
1660
+
1661
+ 416
1662
+ 00:35:27,170 --> 00:35:31,010
1663
+ actually locates between these two values ู…ูˆุฌูˆุฏุฉ
1664
+
1665
+ 417
1666
+ 00:35:31,010 --> 00:35:33,650
1667
+ ุจูŠู†ู‡ู… ูุจุชุงุฎุฏ ุงู„ average ู„ูˆ ุฎุฏู†ุง ุงู„ average
1668
+
1669
+ 418
1670
+ 00:35:33,650 --> 00:35:38,670
1671
+ ุงู„ุฃุฑู‚ุงู…ุชูŠู† ู‡ุฐูˆู„ ุฌู…ุนูŠู† ูˆ ุฌุณู…ูŠู† ุนู„ู‰ ุงุชู†ูŠู† ุจุทู„ุน 1.645
1672
+
1673
+ 419
1674
+ 00:35:38,670 --> 00:35:46,150
1675
+ it make sense ู†ุนู… ูˆุงุถุญุฉ ุทูŠุจ ู‡ุฐุง ู„ูˆ ูƒุงู† upper tail
1676
+
1677
+ 420
1678
+ 00:35:46,150 --> 00:35:48,630
1679
+ ุงูŠุด ุจุชุงู… ุนู†ุฏู‡ lower tail
1680
+
1681
+ 421
1682
+ 00:35:51,780 --> 00:35:57,960
1683
+ Lower tail test ุงู„ู„ูŠ ู‡ูˆ lower tail ุฅูŠุด ู‡ูŠูƒูˆู† ู…ูŠูˆ
1684
+
1685
+ 422
1686
+ 00:35:57,960 --> 00:36:03,220
1687
+ equal ุชุงุฑุชุฉ ูˆุงู„ H1 ู…ูŠูˆ ุฃู‚ู„ ูˆ ุงู„ rejection region
1688
+
1689
+ 423
1690
+ 00:36:03,220 --> 00:36:08,000
1691
+ ูˆูŠู†ุŸ ุนู„ู‰
1692
+
1693
+ 424
1694
+ 00:36:08,000 --> 00:36:16,060
1695
+ ุงู„ุดู…ุงู„ ุนุงุฏ Z05 ู…ุด ู‡ูŠูƒ ู„ุบุงูŠุฉ 5% ุทุจ ุฅูŠุด ุญุชุณุงูˆูŠ
1696
+
1697
+ 425
1698
+ 00:36:16,060 --> 00:36:21,370
1699
+ ู…ุจุงุดุฑุฉ ู…ู† ุบูŠุฑ ุชุงุจุนุฅุฐุง ุงู„ู„ูŠ ุนู„ู‰ ูŠู…ูŠู†ู‡ุง 19645 ุทุจ
1700
+
1701
+ 426
1702
+ 00:36:21,370 --> 00:36:25,010
1703
+ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ู‡ุชูƒูˆู† ุจุงู„ negative ู…ุธุจูˆุท ุทุจ ุจู†ูุณ
1704
+
1705
+ 427
1706
+ 00:36:25,010 --> 00:36:29,050
1707
+ ุงู„ุทุฑูŠู‚ุฉ ู„ูˆ ู…ุงุนุฌุจูƒูŠุด ุชุนู…ู„ ู‡ูŠูƒ ุงุฑูˆุญ ุนู„ู‰ ุงู„ .. ุทุจุนุง
1708
+
1709
+ 428
1710
+ 00:36:29,050 --> 00:36:32,230
1711
+ ุจุฏูˆุฑ ุนู„ู‰ ุงู„ 025 ุฃูƒูŠุฏ ููŠ ุงู„ negative ุฏูŠ ุงู„ score ู…ุด
1712
+
1713
+ 429
1714
+ 00:36:32,230 --> 00:36:41,810
1715
+ ู‡ูŠูƒ ูู„ูˆ ุฌุฏ ุทู„ุนุช ุนู„ู‰ ุงู„ 05 ุงู„
1716
+
1717
+ 430
1718
+ 00:36:41,810 --> 00:36:46,500
1719
+ 05 ู‡ูŠ ูˆุงุญุฏุฉ ู‡ู†ุง ูˆู‡ูŠ ุงู„ุชุงู†ูŠุฉุจุณ ูˆุงุญุฏุฉ zero five zero
1720
+
1721
+ 431
1722
+ 00:36:46,500 --> 00:36:50,640
1723
+ five ูŠุนู†ูŠ ู…ุฒูŠุฏ ุฎู…ุณุฉ ูˆุงู„ุชุงู†ูŠุฉ four zero four nine
1724
+
1725
+ 432
1726
+ 00:36:50,640 --> 00:36:53,980
1727
+ five ุชู‚ู„ ุฎู…ุณุฉ ููŠ ุงู„ average ุจูŠู† ุงู„ุงุชู†ูŠู† ุจุชุงุน ู†ูุณ
1728
+
1729
+ 433
1730
+ 00:36:53,980 --> 00:36:57,440
1731
+ ุงู„ู‚ุตุฉ negative one is point six four five ุฅุฐุง ุงู„
1732
+
1733
+ 434
1734
+ 00:36:57,440 --> 00:37:02,000
1735
+ critical values can be determined for two tail
1736
+
1737
+ 435
1738
+ 00:37:02,000 --> 00:37:06,080
1739
+ test upper tail and lower tail it depends on the
1740
+
1741
+ 436
1742
+ 00:37:06,080 --> 00:37:10,060
1743
+ question ุจุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุณูˆุงุฏ ู„ุฅู† ุงู„ areas ู‡ุฏูˆู„ ุงู„ู„ูŠ
1744
+
1745
+ 437
1746
+ 00:37:10,060 --> 00:37:12,820
1747
+ ุฃู†ุง ู…ุนู„ู‚ ุนู„ูŠู‡ู… ุจุงู„ุฃุณูˆุงุฏ ู‡ุฏูˆู„ ุจู†ุณู…ูŠู‡ู…
1748
+
1749
+ 438
1750
+ 00:37:16,220 --> 00:37:19,440
1751
+ rejection region ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉ ุฅูŠุด ุจูŠู‚ุตุฏ
1752
+
1753
+ 439
1754
+ 00:37:19,440 --> 00:37:23,580
1755
+ rejection region ุฅุฐุง ู‡ู†ุง ููŠ ุงู„ two-thirds ูƒุงู…
1756
+
1757
+ 440
1758
+ 00:37:23,580 --> 00:37:28,420
1759
+ rejection region ู…ูˆุฌูˆุฏ ุชู†ุชูŠู† ูˆุงุญุฏุฉ ุฃูƒุจุฑ ู…ู† 9196
1760
+
1761
+ 441
1762
+ 00:37:28,420 --> 00:37:32,350
1763
+ ูˆุงุญุฏุฉ ุฃู‚ู„ ู…ู† negativeูˆ ููŠ ุงู„ upper tail ูู‰ one
1764
+
1765
+ 442
1766
+ 00:37:32,350 --> 00:37:37,010
1767
+ rejection region ุงู„ู„ู‰ ุฃูƒุจุฑ ู…ู† 1.645 ูู‰ ุงู„ lower ูู‰
1768
+
1769
+ 443
1770
+ 00:37:37,010 --> 00:37:41,930
1771
+ ูˆุงุญุฏุฉ ุงู„ู„ู‰ ุฃู‚ู„ ู…ู† minus 1.645 ู‡ุฐุง ูƒู„ุงู… ุตุญูŠุญ ู„ูˆ
1772
+
1773
+ 444
1774
+ 00:37:41,930 --> 00:37:45,950
1775
+ ูƒุงู†ุช Alpha ุดูˆ ุจุชุณุงูˆูŠ ุฎู…ุณุฉ ุงุญู†ุง ุบุงู„ุจุง ุจุงุฎุฏ ุฎู…ุณุฉ
1776
+
1777
+ 445
1778
+ 00:37:45,950 --> 00:37:50,170
1779
+ ุบุงู„ุจุง ู„ูƒู† ุงุญูŠุงู†ุง ู„ูˆ ุฎุฏู†ุง ุบูŠุฑ ูƒุฏู‡ ุจุณุชุฎุฏู… ุงู„ุฌุฏูˆู„
1780
+
1781
+ 446
1782
+ 00:37:50,170 --> 00:37:55,130
1783
+ ูุงู†ุช ุญุงูุธูŠู‡ุง ุงุฐุง Alpha 5% ู…ู† ุบูŠุฑ ู…ุง ุงุณุชุฎุฏู… ุงู„
1784
+
1785
+ 447
1786
+ 00:37:55,130 --> 00:38:04,150
1787
+ table ุงุฐุง ูƒุงู† two-tailed 196negative ูˆ plus ุฅุฐุง
1788
+
1789
+ 448
1790
+ 00:38:04,150 --> 00:38:09,450
1791
+ ูƒุงู† upper tail ุจุชูƒูˆู† plus 1.645 ุฅุฐุง lower tail
1792
+
1793
+ 449
1794
+ 00:38:09,450 --> 00:38:13,150
1795
+ ุจุชูƒูˆู† negative 1.645 ุงุญูุธูŠู‡ุง ูˆ ุฎู„ุงุต ู…ู† ุบูŠุฑ ู…ุง
1796
+
1797
+ 450
1798
+ 00:38:13,150 --> 00:38:18,270
1799
+ ู†ุณุชุฎุฏู… ุงู„ table ุฅุฐุง ุจู†ุณุฃู„ ุงู„ 5% ู‡ุฏูˆู„ ู‡ุชู‚ุจู„ูŠู‡ู… ุฒูŠ
1800
+
1801
+ 451
1802
+ 00:38:18,270 --> 00:38:30,510
1803
+ ุงู„ empirical rule 68959917 questions ุฃูŠ ุณุคุงู„ุŸ ููŠ
1804
+
1805
+ 452
1806
+ 00:38:30,510 --> 00:38:38,920
1807
+ ุฃูŠ ุณุคุงู„ุŸุทูŠุจ ู†ูƒู…ู„ ุงู„ุงู† ู‡ู†ุจุฏุฃ ุฃูˆู„ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ ุชุฐูƒุฑ
1808
+
1809
+ 453
1810
+ 00:38:38,920 --> 00:38:42,600
1811
+ ุญูƒูŠู†ุง ููŠ ุงู„ objectives ู†ุฑุฌุน ุชุงู†ูŠ ุงู„ objectives
1812
+
1813
+ 454
1814
+ 00:38:42,600 --> 00:38:47,800
1815
+ ุณุงุนุฉ ู„ู„ chapter ุชุณุนุฉ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู„ูŠ ู‚ุงู„
1816
+
1817
+ 455
1818
+ 00:38:47,800 --> 00:38:51,540
1819
+ ุงู„ูุงุช ุญูƒูŠู†ุง ุฃูˆู„ ูˆุงุญุฏ the basic principles of
1820
+
1821
+ 456
1822
+ 00:38:51,540 --> 00:38:56,060
1823
+ hypothesis testingุงู„ู„ูŠ ุงุญู†ุง ุฎู„ุตู†ุงู‡ ู„ุงู† ูŠุนู†ูŠ ู„ุบุงูŠุฉ
1824
+
1825
+ 457
1826
+ 00:38:56,060 --> 00:38:59,300
1827
+ ุงู„ูŠูˆู… ุงู†ุง ุจุณู…ูŠู‡ basic principles ู…ุจุงุฏุฆ ุฃุณุงุณูŠุฉ
1828
+
1829
+ 458
1830
+ 00:38:59,300 --> 00:39:04,020
1831
+ ู„ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ ุงู„ุงู† ู‡ู†ุจุฏุฃ how to use hypothesis
1832
+
1833
+ 459
1834
+ 00:39:04,020 --> 00:39:10,240
1835
+ thing ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุง to test ุงู…ูŠู† ูˆุงุญุฏ ูˆ ุงู„ู„ู‚ุงุก
1836
+
1837
+ 460
1838
+ 00:39:10,240 --> 00:39:13,720
1839
+ ุงู„ุฌุงูŠ ุงู„ู„ูŠ ู‡ุญูƒูˆู† ูŠูˆู… ุงุฎุฑ ุจูƒุฑุง ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ or a
1840
+
1841
+ 461
1842
+ 00:39:13,720 --> 00:39:17,940
1843
+ proportion ูŠุนู†ูŠ ุงู„ู„ู‚ุงุก ู‡ุชูƒูˆู† ุฑุงุจุนุฉ ู…ุด ู‡ูŠ ูŠุนู†ูŠ ุงู†ู†ุง
1844
+
1845
+ 462
1846
+ 00:39:17,940 --> 00:39:22,140
1847
+ ุงู„ุฃุซู†ูŠู† ูˆ ุงู„ุฃุฑุจุนุฉ ุจู†ุฎู„ุต chapter ุชุณุนุฉ
1848
+
1849
+ 463
1850
+ 00:39:44,100 --> 00:39:49,460
1851
+ ุฅุฐุง ุงู„ุนู†ูˆุงู† ุชุจุนู†ุง ู„ุฌุฏูŠุฏ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† objective ุฑู‚ู…
1852
+
1853
+ 464
1854
+ 00:39:49,460 --> 00:39:51,920
1855
+ ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ hypothesis
1856
+
1857
+ 465
1858
+ 00:39:59,210 --> 00:40:08,030
1859
+ test ุงูˆู„ ูˆุงุญุฏุฉ ู‡ุงุฎุฏู‡ุง ุงูŠู‡ for the mean ู„ู„ูˆุณุท
1860
+
1861
+ 466
1862
+ 00:40:08,030 --> 00:40:11,930
1863
+ ุงู†
1864
+
1865
+ 467
1866
+ 00:40:11,930 --> 00:40:18,430
1867
+ ุงู†ุง ู‡ุงุทู„ุนุธ ุงู† ุฎู„ุงู„ ุงู„ุดุงุฑุน ูƒู„ ุญูƒูŠ 90% ู…ูƒุฑุฑ ุงุฎุฏู†ุงู‡ุง
1868
+
1869
+ 468
1870
+ 00:40:18,430 --> 00:40:25,830
1871
+ ููŠ 6 ูˆ 7ูˆุงู„ุจุงู‚ูŠ ุฌุฏูŠุฏ ุดูุชุฑ ุชุณุนุฉ ูˆุงุฎุฏู†ุง ู…ู†ู‡ ุฌุฒุก ููŠ
1872
+
1873
+ 469
1874
+ 00:40:25,830 --> 00:40:29,390
1875
+ ุงู„ basic principles ุงู„ูŠูˆู… ูˆุงู…ุจุงุฑุญ ูˆุงู„ูŠูˆู… ู‡ูƒูˆู† ู„ุงู†
1876
+
1877
+ 470
1878
+ 00:40:29,390 --> 00:40:33,850
1879
+ ููŠ ุดุบู„ุฉ ุฌุฏูŠุฏุฉ ุจุณ ู‡ู†ุชุนุฑู ุนู„ูŠู‡ุง ู…ุน ุจุนุถ ุงู„ hypothesis
1880
+
1881
+ 471
1882
+ 00:40:33,850 --> 00:40:38,890
1883
+ is for ฮผูŠูˆ ู…ูŠู† ูŠุนู†ูŠ ุงู„ู…ูŠูˆ ูˆุฏุงุฆู…ุง ุฒูŠ ู…ุง ุญูƒูŠุช ู…ุฑุฉ
1884
+
1885
+ 472
1886
+ 00:40:38,890 --> 00:40:42,390
1887
+ ูุงุช ุจุนู…ู„ testing about population parameter ุงุฎุชุจุงุฑ
1888
+
1889
+ 473
1890
+ 00:40:42,390 --> 00:40:45,570
1891
+ ุญูˆู„ ุงู„ population ู†ูุณู‡ ุณูˆุงุก ุงู„ mean ุชุจุน ุงู„
1892
+
1893
+ 474
1894
+ 00:40:45,570 --> 00:40:50,810
1895
+ population ุฃูˆ ุงู„ู„ู‚ุงุกุงุช ุงู„ุฌุงูŠุฉ ู„ู„ proportionู„ุฃู†
1896
+
1897
+ 475
1898
+ 00:40:50,810 --> 00:40:54,410
1899
+ ู‡ู†ุฌุณู… ุงู„ุฌุฒุฆูŠู† hypothesis for mu there are two
1900
+
1901
+ 476
1902
+ 00:40:54,410 --> 00:40:57,690
1903
+ scenarios when sigma is known I mean when sigma is
1904
+
1905
+ 477
1906
+ 00:40:57,690 --> 00:41:05,070
1907
+ given sigma is called what's the sigma no it's not
1908
+
1909
+ 478
1910
+ 00:41:05,070 --> 00:41:12,890
1911
+ standard deviation ูˆู„ุง standard ูˆู„ุง variance ุงู„
1912
+
1913
+ 479
1914
+ 00:41:12,890 --> 00:41:16,670
1915
+ sigma ุนุจุงุฑุฉ ุนู† ุงูŠุด population standard deviation
1916
+
1917
+ 480
1918
+ 00:41:16,670 --> 00:41:19,430
1919
+ ุงู…ูŠุฒ ุงู„ sigma ู‡ุฐู‡
1920
+
1921
+ 481
1922
+ 00:41:22,630 --> 00:41:25,950
1923
+ population standard deviation ู„ู…ุง ููŠ ุนู†ุฏ ุงู„ sample
1924
+
1925
+ 482
1926
+ 00:41:25,950 --> 00:41:29,330
1927
+ standard deviation ุงู„ู„ูŠ ู‡ูŠ ุงู„ S ุงู†ุง ุจุชูƒู„ู… ุนู† ุงู„
1928
+
1929
+ 483
1930
+ 00:41:29,330 --> 00:41:34,130
1931
+ sigma ุงู„ู„ูŠ ู‡ูŠ population standard deviation ุงุฐุง
1932
+
1933
+ 484
1934
+ 00:41:34,130 --> 00:41:37,930
1935
+ when sigma is known the test is called z test
1936
+
1937
+ 485
1938
+ 00:41:37,930 --> 00:41:41,690
1939
+ ุงู„ุงุฎุชุจุงุฑ ุงุณู…ู‡ z ุงู„ู„ูŠ ู‡ูŠ ุงุฒุงูŠ ุงู„ z score ุงู„ู„ูŠ
1940
+
1941
+ 486
1942
+ 00:41:41,690 --> 00:41:46,510
1943
+ ุฃุฎุฏู†ุงู‡ุง ููŠ chapter 7 ู…ุด 6 ู„ูŠุดุŸู„ู…ุง ุงุชูƒู„ู… ุนู„ู‰ ุงู„
1944
+
1945
+ 487
1946
+ 00:41:46,510 --> 00:41:51,050
1947
+ mean ูˆ ุงู„ mean ูƒุงู†ุช ููŠ ุดูุชุฑ ุณุจุนุฉ ุจุฐูƒุฑ ูƒุงู† ุงู„ z ุฃู‚ู„
1948
+
1949
+ 488
1950
+ 00:41:51,050 --> 00:41:55,670
1951
+ ุนู† x bar minus mu divided by sigma over root n ู‡ุฐุง
1952
+
1953
+ 489
1954
+ 00:41:55,670 --> 00:42:00,230
1955
+ ุดูุชุฑ ุณุจุนุฉ ุงู„ุญุงุฌุฉ ุงู„ุชุงู†ูŠุฉ when sigma is unknown
1956
+
1957
+ 490
1958
+ 00:42:00,230 --> 00:42:05,650
1959
+ ูŠุนู†ูŠ sigma ู…ุด ู…ุนู„ูˆู…ุฉ ู‡ู†ุงุฎุฏ ุงู„ new test is called t
1960
+
1961
+ 491
1962
+ 00:42:05,650 --> 00:42:09,590
1963
+ test for next time ุงู† ุดุงุก ุงู„ู„ู‡ next time ุงู„ู„ู‡ ุฃุนู„ู…
1964
+
1965
+ 492
1966
+ 00:42:10,560 --> 00:42:14,320
1967
+ ู…ุด ุดุฑุท ุจูƒุฑุง ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง ู…ู† ุงู„ุฃุฑุจุนุงุก ุงู„ู‚ุงุฏู…ุฉ ุฃูˆ ูˆู„ุง
1968
+
1969
+ 493
1970
+ 00:42:14,320 --> 00:42:21,260
1971
+ ุญุณุจ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ู‡ุจุฏุฃ when sigma is known ุงุฐุง ุงู†ุง
1972
+
1973
+ 494
1974
+ 00:42:21,260 --> 00:42:27,960
1975
+ ุงุชุตู„ ุงู†ุฏูŠ for the mean ููŠ ุดุบู„ุชูŠู† ุงูŠู‡ ูˆุงุญุฏ sigma is
1976
+
1977
+ 495
1978
+ 00:42:27,960 --> 00:42:33,180
1979
+ known ุงูŠุด ู…ุนู†ู‰ known ูŠุนู†ูŠ ุงู„ sigma ุงู†ุง ุนุงุฑู
1980
+
1981
+ 496
1982
+ 00:42:33,180 --> 00:42:37,420
1983
+ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ sigma is given ู…ู‚ุทุน ู…ุนุงู‡ ูŠุนู†ูŠ sigma
1984
+
1985
+ 497
1986
+ 00:42:37,420 --> 00:42:43,790
1987
+ ู…ุนุฑูˆูุฉ ููŠ ุงู„ู…ุซู„ุฉูƒู„ ู‡ุนู…ู„ู‡ step number one convert
1988
+
1989
+ 498
1990
+ 00:42:43,790 --> 00:42:49,210
1991
+ sample statistic x bar to z statistic ุณู‡ู„ ุงูˆ ู„ุง
1992
+
1993
+ 499
1994
+ 00:42:49,210 --> 00:42:57,550
1995
+ ูŠุนู†ูŠ ูƒู„ ุจุนู…ู„ู‡ ุจุทู„ู‚ z statistic ู‡ุฐุง z stat means
1996
+
1997
+ 500
1998
+ 00:42:57,550 --> 00:43:02,650
1999
+ for z statistic z stat ูŠุนู†ูŠ z ู„ุชุณุช ุงู„ statistic
2000
+
2001
+ 501
2002
+ 00:43:02,650 --> 00:43:09,030
2003
+ ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ู…ุด ุจุงู„ุณุงูˆูŠ ุฎุฏู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒุชุฐูƒุฑ X bar
2004
+
2005
+ 502
2006
+ 00:43:09,030 --> 00:43:13,650
2007
+ minus ุงู„ mean ู‡ุฐุง
2008
+
2009
+ 503
2010
+ 00:43:13,650 --> 00:43:18,130
2011
+ ู…ู† ุฃูŠ chapterุŸ chapter 7 ุงุฐุง chapter 7 ุฏุฎู„ ู…ุนุงูŠุง
2012
+
2013
+ 504
2014
+ 00:43:18,130 --> 00:43:21,950
2015
+ ุนู„ู‰ ุญุณุงุจ ุชุณู…ูŠุฉ test statistic
2016
+
2017
+ 505
2018
+ 00:43:27,880 --> 00:43:30,180
2019
+ ุฅุฐุง ุฃุฎุจุฑุชูƒ ุฃู†ูƒ ุชุญุณุจ ุงู„ test ุงู„ statistic ู‚ูŠู…ุฉ
2020
+
2021
+ 506
2022
+ 00:43:30,180 --> 00:43:36,720
2023
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
2024
+
2025
+ 507
2026
+ 00:43:36,720 --> 00:43:40,460
2027
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
2028
+
2029
+ 508
2030
+ 00:43:40,460 --> 00:43:47,580
2031
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
2032
+
2033
+ 509
2034
+ 00:43:47,580 --> 00:43:48,460
2035
+ ุงู„ุงุฎุชุจุงุฑ
2036
+
2037
+ 510
2038
+ 00:43:54,340 --> 00:43:57,400
2039
+ ูŠุนู†ูŠ for two-tailed test for the mean sigma non
2040
+
2041
+ 511
2042
+ 00:43:57,400 --> 00:44:01,600
2043
+ -convert x bar to z statistic ุฎู„ุตู†ุง step 2
2044
+
2045
+ 512
2046
+ 00:44:01,600 --> 00:44:05,840
2047
+ determine the critical z values ุญุฏุฏ ุงู„ critical
2048
+
2049
+ 513
2050
+ 00:44:05,840 --> 00:44:08,900
2051
+ values ุงู„ู„ูŠ ุทู„ุนู„ู‡ู… ู…ู† ุดูˆูŠุฉ ุงู„ู„ูŠ ู‡ู… ู„ู…ุง ุงู„ alpha
2052
+
2053
+ 514
2054
+ 00:44:08,900 --> 00:44:16,000
2055
+ ูƒุงู†ุช 5% ุฅูŠุด ูƒุงู†ูˆุง ุจูŠุณุงูˆูˆุง plus or minus 1.96 ู‡ุฏูˆู„
2056
+
2057
+ 515
2058
+ 00:44:16,000 --> 00:44:20,760
2059
+ ุงู„ critical values step 1 step 2 ุฃุทู„ุน ุงู„ critical
2060
+
2061
+ 516
2062
+ 00:44:20,760 --> 00:44:22,840
2063
+ values
2064
+
2065
+ 517
2066
+ 00:44:25,720 --> 00:44:30,040
2067
+ ูˆ ู‡ุฏูˆู„ ุฒู‰ ู…ุง ุญูƒูŠุช ุชุทู„ุนูˆุง ูŠุญู…ู„ูˆุง ู…ู† ู…ู† ุงู„ table
2068
+
2069
+ 518
2070
+ 00:44:30,040 --> 00:44:35,780
2071
+ ุทุจุนุง for specified level of significance alpha ุญุณุจ
2072
+
2073
+ 519
2074
+ 00:44:35,780 --> 00:44:37,620
2075
+ ู‚ูŠู…ุฉ ุงู„ alpha ุงุญู†ุง ุฃุฎุฏุช ุงู„ alpha ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
2076
+
2077
+ 520
2078
+ 00:44:37,620 --> 00:44:42,160
2079
+ from ุงู„ table ุฃุฎุฏู†ุง ุงู„ table ุชุนุฒูŠุฒูŠ ุงู„ table or
2080
+
2081
+ 521
2082
+ 00:44:42,160 --> 00:44:46,260
2083
+ using computer software ู…ุงู†ุนุด ููŠู‡ุง ูŠุนู†ูŠ ุจุงู„ Excel
2084
+
2085
+ 522
2086
+ 00:44:46,260 --> 00:44:51,180
2087
+ ู…ู…ูƒู† ุงูˆ ุงูŠ ุญุณุงุจ ุงูˆ ุงูŠ ุจุฑู†ุงู…ุฌ ูŠุญุตู„ ุงุฐุง step ุฑู‚ู… 2
2088
+
2089
+ 523
2090
+ 00:44:51,180 --> 00:44:58,140
2091
+ ุณู‡ู„ูˆู‡ุฐุง ุฐุงูƒุฑูƒ ููŠู‡ ุนุงู„ู‡ู…ุด ู„ูˆ ูƒุงู†ุช Alpha ุจ 5% ูˆูƒุงู†
2092
+
2093
+ 524
2094
+ 00:44:58,140 --> 00:45:01,740
2095
+ ููŠู‡ End of two tilled ุฅูŠุด ู‡ุชู„ุน ุงู„ุฌูˆุงุจ plus or
2096
+
2097
+ 525
2098
+ 00:45:01,740 --> 00:45:07,540
2099
+ minusุŸ ู…ุธุจูˆุท ูˆุงุญุฏุฉ ุน ุงู„ูŠู…ูŠู† 196 ูˆุงู„ุชุงู†ูŠุฉ ุน ุงู„ุดู…ุงู„
2100
+
2101
+ 526
2102
+ 00:45:07,540 --> 00:45:15,560
2103
+ negative 1.96 ูˆู„ูˆ ูƒุงู† one tilled ุญุณุจ ู‡ุชูƒูˆู† 1645
2104
+
2105
+ 527
2106
+ 00:45:15,560 --> 00:45:20,500
2107
+ ุฅุฐุง ูƒุงู†ุช ุน ุงู„ right ูŠุนู†ูŠ ุงู„ upper ู…ุธุจูˆุท
2108
+
2109
+ 528
2110
+ 00:45:22,760 --> 00:45:27,760
2111
+ ุฃูˆ ู†ูŠุฌุงุชูŠุจ 1645 ุฅุฐุง ูƒุงู†ุช ุฃุณูู„ ุฃุนุชู‚ุฏ ูƒุฏู‡ ุณู‡ู„ุฉ ุณู‡ู„ุฉ
2112
+
2113
+ 529
2114
+ 00:45:27,760 --> 00:45:35,980
2115
+ ู‡ุฐุง ุงู„ second step ุทูŠุจ ู„ุงุญุธ ู…ู† ุฃูŠ chapter ุงุณุชุฎุฏุงู…
2116
+
2117
+ 530
2118
+ 00:45:35,980 --> 00:45:39,920
2119
+ ุงู„ Z-table ู…ู† chapter 6 ู…ุธุจูˆุท ุฅุฐุง ูˆุงุถุญ step 1 ูˆ 2
2120
+
2121
+ 531
2122
+ 00:45:39,920 --> 00:45:44,300
2123
+ ู…ู† where ู…ู† ุงู„ previous chapters ู…ู† 6 ูˆ 7 ุจุชุชู… ุนู†ุฏ
2124
+
2125
+ 532
2126
+ 00:45:44,300 --> 00:45:50,020
2127
+ chapter 9 ูƒู„ู…ุฉ ุตุบูŠุฑุฉ ุชุญุช ุงู„ู„ูŠ step 3 ุงู„ู„ูŠ ู‡ูˆ
2128
+
2129
+ 533
2130
+ 00:45:50,020 --> 00:45:55,690
2131
+ decision rule ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุงูŠุนู†ูŠ ูƒู„ ุดุบู„ู†ุง ุน ุงู„
2132
+
2133
+ 534
2134
+ 00:45:55,690 --> 00:46:02,250
2135
+ decision rule ููŠ ุดู‡ุฑ 9 ุจูŠุญูƒูŠ ุงู„ู‚ุงุนุฏุฉ ุงู„ู„ูŠ ู‡ูŠ rule
2136
+
2137
+ 535
2138
+ 00:46:02,250 --> 00:46:08,070
2139
+ of thumb if the test statistic ุงุฐุง ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ
2140
+
2141
+ 536
2142
+ 00:46:08,070 --> 00:46:13,230
2143
+ falls in the rejection region ุงู„ rejection ุจู‚ูˆู„ุชูƒ
2144
+
2145
+ 537
2146
+ 00:46:13,230 --> 00:46:16,750
2147
+ ู‡ูŠ ู‡ู… ุงู„ุฃุณูˆุฏ ุงู„ุนุงู„ู…ูŠู† ูˆ ุงู„ุดู…ุงู„ ููŠ ุงู„ two tail ุงู„ู„ูŠ
2148
+
2149
+ 538
2150
+ 00:46:16,750 --> 00:46:24,090
2151
+ ู‡ู… ู‡ุฏูˆู„ ู‡ู†ุง ูƒุงู†ุช ู‡ุฏูˆู„ ุงู„ุชู†ุชูŠู†ุจู†ุณู…ูŠู‡ู… rejection
2152
+
2153
+ 539
2154
+ 00:46:24,090 --> 00:46:27,950
2155
+ region ูˆ
2156
+
2157
+ 540
2158
+ 00:46:27,950 --> 00:46:31,870
2159
+ ุงู„ upper tail ูŠูƒูˆู†ูˆุง
2160
+
2161
+ 541
2162
+ 00:46:31,870 --> 00:46:36,290
2163
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ ุงู„ lower tail ูˆูŠู†ุŸ ุนู„ู‰ ุงู„ุดู…ุงู„ ู‡ุฏูˆู„
2164
+
2165
+ 542
2166
+ 00:46:36,290 --> 00:46:42,270
2167
+ ุจู†ุณู…ูŠู‡ู… rejection regions ุจุญูƒูŠ ุทุจุนุง ุงูŠ ู…ุซู„ุฉ ุจุชูƒูˆู†
2168
+
2169
+ 543
2170
+ 00:46:42,270 --> 00:46:46,610
2171
+ ุงู…ุง two tail ุงูˆ one tail ุงูˆ upper tail lower tail
2172
+
2173
+ 544
2174
+ 00:46:46,610 --> 00:46:49,530
2175
+ ุงูˆ upper tail ู…ุงุจูƒูˆู†ุด ุชู„ุงุชุฉ ู…ุน ุจุนุถ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุจุณ
2176
+
2177
+ 545
2178
+ 00:46:50,530 --> 00:46:55,610
2179
+ ูุจุทู„ุน ุงู„ู€ rejection region ุงู„ู‚ู„ุงุฑ if the test
2180
+
2181
+ 546
2182
+ 00:46:55,610 --> 00:46:58,870
2183
+ statistic ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ูŠ ูˆูŠู† ุทู„ุน ุญุณุจุชู‡ step
2184
+
2185
+ 547
2186
+ 00:46:58,870 --> 00:47:02,770
2187
+ ูˆุงุญุฏ if the test falls in the rejection region
2188
+
2189
+ 548
2190
+ 00:47:02,770 --> 00:47:12,590
2191
+ ุจูŠู‚ุน ุฌูˆุง then we reject a zero is an if the test
2192
+
2193
+ 549
2194
+ 00:47:12,590 --> 00:47:19,150
2195
+ statistic ุฎู„ูŠู†ุง ู†ุญูƒูŠู‡ุง ุจุตูˆุฑุฉ ุฃุฏุงุก if the valueู‚ูŠู…ุฉ
2196
+
2197
+ 550
2198
+ 00:47:19,150 --> 00:47:22,830
2199
+ ุงุฐุง ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2200
+
2201
+ 551
2202
+ 00:47:22,830 --> 00:47:28,390
2203
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2204
+
2205
+ 552
2206
+ 00:47:28,390 --> 00:47:29,750
2207
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2208
+
2209
+ 553
2210
+ 00:47:29,750 --> 00:47:29,770
2211
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2212
+
2213
+ 554
2214
+ 00:47:29,770 --> 00:47:32,830
2215
+ ูƒู…ูŠุฉ
2216
+
2217
+ 555
2218
+ 00:47:32,830 --> 00:47:38,870
2219
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2220
+
2221
+ 556
2222
+ 00:47:38,870 --> 00:47:43,670
2223
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2224
+
2225
+ 557
2226
+ 00:47:43,670 --> 00:47:44,750
2227
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2228
+
2229
+ 558
2230
+ 00:47:44,750 --> 00:47:44,770
2231
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2232
+
2233
+ 559
2234
+ 00:47:44,770 --> 00:47:47,460
2235
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉูˆู‚ุน ุฌูˆุจุฉ ูŠุนู†ูŠ ุงูŠุดุŸ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช two
2236
+
2237
+ 560
2238
+ 00:47:47,460 --> 00:47:49,980
2239
+ -thirds ู„ุฃ ู„ูˆ ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู†ุงุญูŠุฉ ุงู„
2240
+
2241
+ 561
2242
+ 00:47:49,980 --> 00:47:54,620
2243
+ negative ู…ุง ุฃู†ุง ูˆู‚ุน ููŠู‡ุงุŒ ูŠุนู†ูŠ ุชุฎูŠู„ ู…ุนุงูŠุง ุฃุฎุฏ
2244
+
2245
+ 562
2246
+ 00:47:54,620 --> 00:48:00,760
2247
+ example ุจุชูƒู„ู… ุนู„ู‰ 95Y ู„ critical values ุงู„
2248
+
2249
+ 563
2250
+ 00:48:00,760 --> 00:48:05,960
2251
+ rejection region ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ู†ุงุŒ ู…ุธุจูˆุท ุฃูˆ
2252
+
2253
+ 564
2254
+ 00:48:05,960 --> 00:48:11,680
2255
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุงู† ุจุชุนุทูŠูƒ for example suppose Z equal
2256
+
2257
+ 565
2258
+ 00:48:11,680 --> 00:48:19,360
2259
+ ุชู„ุงุชุฉ ูˆ ู†ุตู‡ุฐุง ุฒูŠ ุณู…ูŠุฉ ุฒูŠ stat ู‡ุฐุง ุงู„ test ุงู„
2260
+
2261
+ 566
2262
+ 00:48:19,360 --> 00:48:23,060
2263
+ statistic ุงุณุฃู„ ู†ูุณูƒ does this value fall in the
2264
+
2265
+ 567
2266
+ 00:48:23,060 --> 00:48:27,580
2267
+ rejection region ูŠุนู†ูŠ ุงู…ุง ุชูƒูˆู† ุงูƒุจุฑ ู…ู† 1.96 ุงูˆ ุงู‚ู„
2268
+
2269
+ 568
2270
+ 00:48:27,580 --> 00:48:33,280
2271
+ ู…ู† negative ููˆุงุถุญ ู‡ุฐู‡ ู‡ู†ุง ุงุฐุง we reject the null
2272
+
2273
+ 569
2274
+ 00:48:33,280 --> 00:48:37,660
2275
+ hypothesis ุทูŠุจ ู„ูˆ ูƒุงู†ุช for example z equal
2276
+
2277
+ 570
2278
+ 00:48:37,660 --> 00:48:41,700
2279
+ negative one ุงู†ุง ุงุชูƒู„ู…ุช
2280
+
2281
+ 571
2282
+ 00:48:49,770 --> 00:48:55,290
2283
+ ู…ุด ูƒู„ ุณุงู„ุจ ุจูŠ reject ูˆู„ุง ูƒู„ ู…ูˆุฌุฉ ุจูŠ reject ู‡ู†ุง
2284
+
2285
+ 572
2286
+ 00:48:55,290 --> 00:49:00,470
2287
+ ุจุชูƒู„ู… ุนู† ุชูˆุชูŠู„ negative one point four ุงู„
2288
+
2289
+ 573
2290
+ 00:49:00,470 --> 00:49:08,030
2291
+ rejection ุฑ ุฑ ู†ุชุนูˆุฏ ุนู„ูŠู‡ุง ุฑ ุฑ ูŠุนู†ูŠ ุงูŠุด rejection
2292
+
2293
+ 574
2294
+ 00:49:08,030 --> 00:49:13,390
2295
+ region ู‡ุชูƒูˆู† ุงูƒุจุฑ ู…ู† ูˆุงุญุฏ ู†ูŠู† ุชุณุนุฉ ุงูˆ ุงู‚ู„ ู…ู† ู…ู†
2296
+
2297
+ 575
2298
+ 00:49:13,390 --> 00:49:15,150
2299
+ ุณุงู„ุจ
2300
+
2301
+ 576
2302
+ 00:49:16,600 --> 00:49:20,840
2303
+ ุชุณุฃู„ ู†ูุณูƒ ุงู„ู€ negative 1.4 ู‡ู„ ู‡ูŠ ุฃู‚ู„ ู…ู† ู†ุงู‚ุต 1.9ุŸ
2304
+
2305
+ 577
2306
+ 00:49:20,840 --> 00:49:26,380
2307
+ ู„ุฃุŒ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ ู‡ู†ุง ู‡ุฐู‡ ุงู„ area ุงู„ุจูŠุถุงุŒ
2308
+
2309
+ 578
2310
+ 00:49:26,380 --> 00:49:30,480
2311
+ ุจู†ุณู…ูŠู‡ุง none rejection areaุŒ ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุง
2312
+
2313
+ 579
2314
+ 00:49:30,480 --> 00:49:34,800
2315
+ ุงู„ู„ูŠ ุจูŠู† ุงู„ุฃุซู†ูŠู†ุŒ ุจุณ ููŠู‡ุง ู…ู†ุทู‚ุฉ ุนุฏู… ุงู„ุฑูุถ ุทูŠุจุŒ
2316
+
2317
+ 580
2318
+ 00:49:34,800 --> 00:49:39,120
2319
+ ุงุนุทูŠู†ูŠ example ููŠู‡ุง reject ู„ู„ู…ุซู„ ู‡ุฐุงุŒ ุงุนุทูŠู†ูŠ ุงู„ู€ z
2320
+
2321
+ 581
2322
+ 00:49:39,120 --> 00:49:46,640
2323
+ ูŠูƒูˆู† ููŠ๏ฟฝ๏ฟฝุง reject 2.5 ู„ูˆ ูˆู‚ุน ู‡ู†ุงุงู„ุซุงู†ูŠ ุจุงู„ุงุชู†ูŠู†
2324
+
2325
+ 582
2326
+ 00:49:46,640 --> 00:49:50,520
2327
+ ูˆุงู‚ุน ู‡ู†ุง ููŠ ุงู„ region of rejection ุงุนุทูŠู†ูŠ ุญุงู„ุฉ ู„ู„
2328
+
2329
+ 583
2330
+ 00:49:50,520 --> 00:49:56,500
2331
+ .. don't reject ูˆุงุญุฏ .. ูˆุงุญุฏ ู‡ู†ุง ุงู„ุซุงู†ูŠ ูˆุงุญุฏ ุงุชู†ูŠู†
2332
+
2333
+ 584
2334
+ 00:49:56,500 --> 00:50:01,620
2335
+ ู‡ู†ุง one point four ู‡ู†ุง ูˆ ู‡ูƒุฐุง point four ูŠุนู†ูŠ ุงูŠ
2336
+
2337
+ 585
2338
+ 00:50:01,620 --> 00:50:04,360
2339
+ ุญุงุฌุฉ between negative one nine six and one point
2340
+
2341
+ 586
2342
+ 00:50:04,360 --> 00:50:08,940
2343
+ nine six non rejection region ุงุนุทูŠูƒูŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
2344
+
2345
+ 587
2346
+ 00:50:08,940 --> 00:50:12,900
2347
+ ู„ู…ูŠู† ู„ู„ two tailed ู†ุงุฎุฏ one tailed ุงุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ
2348
+
2349
+ 588
2350
+ 00:50:12,900 --> 00:50:17,920
2351
+ three stepsCompute these statistics ู…ู† Chapter 7
2352
+
2353
+ 589
2354
+ 00:50:17,920 --> 00:50:23,980
2355
+ ุงุญุณุจ ุงู„ู€ Critical values ู…ู† Chapter 6 Chapter 9 ุจุณ
2356
+
2357
+ 590
2358
+ 00:50:23,980 --> 00:50:28,920
2359
+ ุดุบู„ ุตุบูŠุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ decision rule We reject the
2360
+
2361
+ 591
2362
+ 00:50:28,920 --> 00:50:33,220
2363
+ null if the statistic value falls in the rejection
2364
+
2365
+ 592
2366
+ 00:50:33,220 --> 00:50:37,220
2367
+ region Now for two-tailed test, the rejection
2368
+
2369
+ 593
2370
+ 00:50:37,220 --> 00:50:41,620
2371
+ region is in the lower tail and upper tail But on
2372
+
2373
+ 594
2374
+ 00:50:41,620 --> 00:50:44,780
2375
+ the other hand, if we are talking about one-tailed
2376
+
2377
+ 595
2378
+ 00:50:44,780 --> 00:50:52,730
2379
+ test1 tail ุฏุฎู„ู†ุง ู†ุฑุณู…ู‡ุง ุชุญุช ู‡ู†ุง ู‡ูŠ ุงู„ right
2380
+
2381
+ 596
2382
+ 00:50:52,730 --> 00:50:56,690
2383
+ suppose we are talking about right tail and alpha
2384
+
2385
+ 597
2386
+ 00:50:56,690 --> 00:51:00,870
2387
+ is five percent so this value equals ุงูŠุด ุงู„ู‚ูŠู…ุฉ
2388
+
2389
+ 598
2390
+ 00:51:00,870 --> 00:51:08,590
2391
+ ุจุชุณุงูˆูŠ ุงุญูุธู†ูŠ ูŠุงู‡ุง 1645 ู…ุธุจูˆุท ุทุจ ู„ูˆ ุฃุฒูŠูŠ ุงู„
2392
+
2393
+ 599
2394
+ 00:51:08,590 --> 00:51:16,090
2395
+ statistic ุณูˆุงุช ูˆุงุญุฏ ูˆ ู†ุตูˆุงู‚ุน ู‡ู†ุง ููŠ ุงู„ู†ุงุฑ
2396
+
2397
+ 600
2398
+ 00:51:16,090 --> 00:51:20,750
2399
+ rejection ุฅุฐุง ุงู„ rejection ุชูƒูˆู† ุงู„ Z set ู…ู„ู‡ู‚ ุฃูƒุจุฑ
2400
+
2401
+ 601
2402
+ 00:51:20,750 --> 00:51:30,910
2403
+ ู…ู† 1,6,4,5 ู‡ู†ุง ุฅูŠุด ูƒุงู†ุช ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ู…ุธุจูˆุท ู‡ู†ุง ุจุณ
2404
+
2405
+ 602
2406
+ 00:51:30,910 --> 00:51:33,970
2407
+ ุฃูƒุจุฑ ู„ูŠุด ู„ุฃู† ุนู†ุฏูŠ upper tail ูŠุนู†ูŠ ู„ูˆ ุจุฎุชุจุฑ ู…ูŠูˆ
2408
+
2409
+ 603
2410
+ 00:51:33,970 --> 00:51:39,730
2411
+ ุฃูƒุจุฑ ู…ู† 30 ู‡ู†ุง ุจุฎุชุจุฑ ู…ูŠูˆ ุจุชุณูˆูŠุด 30 ุทุจ ุฃุนุทูŠู†ูŠ ุญุงุฌุฉ
2412
+
2413
+ 604
2414
+ 00:51:39,730 --> 00:51:47,940
2415
+ reject ุฃูŠ ุญุงุฌุฉ ุฃูƒุจุฑ 1.6451.7 ุงุชู†ูŠู† ุงูŠ ุญุงุฌุฉ ุฌูˆุง
2416
+
2417
+ 605
2418
+ 00:51:47,940 --> 00:51:53,980
2419
+ ุงุฑุจุน ุฎู…ุณุฉ ุณุชุฉ ุงูŠ ุญุงุฌุฉ ุฌูˆุง ุทุจ ู‡ุฐุง upper tail ู†ุงุฎุฏ
2420
+
2421
+ 606
2422
+ 00:51:53,980 --> 00:52:00,220
2423
+ lower tail lower tail the area to the left ุงู„ู„ูŠ ู‡ูŠ
2424
+
2425
+ 607
2426
+ 00:52:00,220 --> 00:52:06,100
2427
+ negative 1645 ุทุจ ุง reject ุงุฐุง ูƒุงู†ุช ุงู„ z-stat ู…ู„ุฃ
2428
+
2429
+ 608
2430
+ 00:52:06,100 --> 00:52:12,620
2431
+ ุงู‚ู„ ู…ู† negative ุทุจ ู„ูˆ ุณูˆู‰ ุงู„ z-stat negative ูˆุงุญุฏ
2432
+
2433
+ 609
2434
+ 00:52:14,830 --> 00:52:17,090
2435
+ ุงู„ู€ negative ูˆุงุญุฏ ููŠ ุงู„ู€ non-rejection region ู„ุฐุง
2436
+
2437
+ 610
2438
+ 00:52:17,090 --> 00:52:24,290
2439
+ ู„ุง ู†ู†ุฌุญ ุงุฐุง ุณูˆู‰ negative ุงุชู†ูŠู† ู„ุง ู†ู†ุฌุญ ู„ุง ู†ู†ุฌุญ ู„ุง
2440
+
2441
+ 611
2442
+ 00:52:24,290 --> 00:52:30,450
2443
+ ู†ู†ุฌุญ ูˆ ู‡ู†ุง ู†ู†ุฌุญ ูˆุงุถุญุŸ ู…ุนู†ุงู‡ ูƒุฐุง ุงู†ูƒ ุชุญู„ูŠ ุงู„ู…ุซู„ุฉ
2444
+
2445
+ 612
2446
+ 00:52:30,450 --> 00:52:36,480
2447
+ ุนู…ู„ู‡ุง ุณู‡ู„ุฉู„ุฃู†ู‡ two steps from chapter 6 and 7 ุงู„ู„ูŠ
2448
+
2449
+ 613
2450
+ 00:52:36,480 --> 00:52:40,000
2451
+ ู‡ูŠ compute ุงู„ test statistic ู…ู† chapter 7 ูˆู…ุฒูŠูƒ
2452
+
2453
+ 614
2454
+ 00:52:40,000 --> 00:52:43,520
2455
+ critical values from chapter 6 then decision rule
2456
+
2457
+ 615
2458
+ 00:52:43,520 --> 00:52:47,140
2459
+ is easy just if the value of the test falls in the
2460
+
2461
+ 616
2462
+ 00:52:47,140 --> 00:52:50,480
2463
+ rejection region, falls it means for two-third
2464
+
2465
+ 617
2466
+ 00:52:50,480 --> 00:52:53,260
2467
+ ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูˆ ุฃู‚ู„ ู…ู† ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ ู„ุฃู† ุงู„
2468
+
2469
+ 618
2470
+ 00:52:53,260 --> 00:52:55,520
2471
+ area ู‡ุฏูˆู„ ุงู„ shaded area ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ูŠุงุดุฑ
2472
+
2473
+ 619
2474
+ 00:52:56,080 --> 00:52:59,380
2475
+ rejection regions ูุฅู…ุง ุจุชูƒูˆู† ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆุงู„ุดู…ุงู„ ููŠ
2476
+
2477
+ 620
2478
+ 00:52:59,380 --> 00:53:02,340
2479
+ ุงู„ two-tailed ุฃูˆ ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ ุงู„ one-tailed ุฃูˆ
2480
+
2481
+ 621
2482
+ 00:53:02,340 --> 00:53:05,520
2483
+ ุนู„ู‰ ุงู„ูŠุณุงุฑ ููŠ ุงู„ one-tailed ุจุณ ุงู„ lower one-tailed
2484
+
2485
+ 622
2486
+ 00:53:05,520 --> 00:53:13,880
2487
+ ูˆ ุงู„ู„ู‡ ุณุคุงู„ูƒ ู…ู‡ู… ูŠุนู†ูŠ ุฅุญู†ุง ุจู†ุนุชุจุฑ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุฏุงุฎู„ุฉ
2488
+
2489
+ 623
2490
+ 00:53:13,880 --> 00:53:18,800
2491
+ ุถู…ู† ุงู„ rejection ูŠุนู†ูŠ ุฎุฏู‡ุง ุฃูˆ ูŠุณุงูˆูŠ ู…ุด ู…ุดูƒู„ุฉูŠุนู†ูŠ
2492
+
2493
+ 624
2494
+ 00:53:18,800 --> 00:53:22,560
2495
+ ุนู†ุฏู‡ุง ูˆ ุฃูƒุชุฑ ุงูˆ ุนู†ุฏู‡ุง ูˆ ุฃู‚ู„ ุฎู„ุงุต ูƒูˆูŠุณ ูŠุนู†ูŠ ุฎู„ู†ุง
2496
+
2497
+ 625
2498
+ 00:53:22,560 --> 00:53:27,340
2499
+ ู†ุชูู‚ ุณูˆุงุก ุฒู…ู†ูƒ ูƒูˆูŠุณ ุงู„ 196 ู†ุฏุฎู„ู‡ุง ูˆู„ุง ู„ุฃ ุฏุฎู„ูŠู‡ุง
2500
+
2501
+ 626
2502
+ 00:53:27,340 --> 00:53:33,280
2503
+ ุงุนุชุจุฑูŠ ุงู„ rejection ุชุจุฏุฃ ู…ู† 1.696 ุฅู„ู‰ ู…ุง ู„ุงู†ู‡ูŠุฉ ุงูˆ
2504
+
2505
+ 627
2506
+ 00:53:33,280 --> 00:53:39,420
2507
+ negative ู…ุง ู„ุงู†ู‡ูŠุฉ ู„ุบุงูŠุฉ negative 1.96 ุฎู„ุงุต ุงู„ุงู†
2508
+
2509
+ 628
2510
+ 00:53:39,420 --> 00:53:44,100
2511
+ ุจุฏุฃ ูŠุญูƒูŠ ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ two tailed lower
2512
+
2513
+ 629
2514
+ 00:53:44,100 --> 00:53:47,960
2515
+ critical value ูˆ ู‡ูŠ ู‚ุจุฑ ุฎู„ุงุต ุจุชูˆุน ุญูƒูŠู†ุง ุนู„ูŠู‡ู…
2516
+
2517
+ 630
2518
+ 00:53:51,380 --> 00:53:57,000
2519
+ ุงู„ุงู† ุจุญูƒูŠ ุนู„ู‰ six steps in hypothesis testing ููŠู‡
2520
+
2521
+ 631
2522
+ 00:53:57,000 --> 00:54:10,140
2523
+ ุณุช ุฎุทูˆุงุช ู„ู„ุดุบู„ ู‡ุฐุง ููŠ
2524
+
2525
+ 632
2526
+ 00:54:10,140 --> 00:54:14,340
2527
+ ุฃูŠ ุณุคุงู„ ุฌุงู„ู‡ ู…ุจุฏุฃ ููŠู‡ู…ุŸ
2528
+
2529
+ 633
2530
+ 00:54:14,340 --> 00:54:19,420
2531
+ ุฎู„ูˆู†ุง ุงู„ู„ูŠ ู‚ุงู„ ุฌุงูŠ ูˆู…ุงุฏูˆุดูƒูŠุด ุงูƒุชุฑ ู…ู† ู‡ูŠูƒ ุงุฐุง ุฎู„ูŠ
2532
+
2533
+ 634
2534
+ 00:54:19,420 --> 00:54:20,420
2535
+ ุจูƒุฑุง ู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
2536
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/9aoXahoj9bU_raw.srt ADDED
@@ -0,0 +1,2576 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:24,910
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ู†ุณุชู…ุฑ ููŠ ุงู„ุญู„ู‚ุฉ
4
+
5
+ 2
6
+ 00:00:24,910 --> 00:00:32,310
7
+ ุงู„ุชุงุณุนุฉ 9 ุณุฃุจุฏุฃ ู…ุน ู…ูˆุถูˆุน ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุณูŠุงุณูŠุฉ
8
+
9
+ 3
10
+ 00:00:32,310 --> 00:00:38,610
11
+ ูˆุงู„ู‚ูŠู… ุงู„ุฎุงุตุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณูŠูƒูˆู† ู‡ู†ุงูƒ ุงุดูŠุงุก ูƒุซูŠุฑุฉ
12
+
13
+ 4
14
+ 00:00:38,610 --> 00:00:45,010
15
+ ูƒูŠู ู†ุณุชุฎุฏู… ู‚ูŠู… ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุณูŠุงุณูŠุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰
16
+
17
+ 5
18
+ 00:00:45,010 --> 00:00:48,790
19
+ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู‚ูŠู… ุงู„ุฎุงุตุฉ
20
+
21
+ 6
22
+ 00:00:50,440 --> 00:00:54,380
23
+ ุงู„ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ู…ูŠุฒุฉ ุงู„ุนุงู…ู„ุฉ ู‚ุฑูŠุจุฉ ู…ู† ู…ูŠุฒุฉ ุงู„ู…ุฌุชู…ุน
24
+
25
+ 7
26
+ 00:00:54,380 --> 00:00:59,000
27
+ ุงู„ู…ุตุทู„ุญ ุŒ ูู„ูŠุณ ุงู„ู…ูŠุฒุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ูุชุฑุถุฉ ุฅุฐุง ุชุฐูƒุฑ ุŒ
28
+
29
+ 8
30
+ 00:00:59,000 --> 00:01:01,620
31
+ ู„ู„ู…ูŠุฒุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
32
+
33
+ 9
34
+ 00:01:01,620 --> 00:01:02,160
35
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
36
+
37
+ 10
38
+ 00:01:02,160 --> 00:01:07,900
39
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
40
+
41
+ 11
42
+ 00:01:07,900 --> 00:01:17,400
43
+ ู…ูŠุฒุฉ
44
+
45
+ 12
46
+ 00:01:18,690 --> 00:01:24,630
47
+ ุชู‚ูˆู„ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนุงู…ู„ุฉ ู‚ุฑูŠุจุฉ
48
+
49
+ 13
50
+ 00:01:24,630 --> 00:01:26,610
51
+ ุจู…ุง ููŠ ุงู„ูƒูุงุกุฉ ูƒุงููŠุฉ ู„ู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
52
+
53
+ 14
54
+ 00:01:26,610 --> 00:01:28,470
55
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
56
+
57
+ 15
58
+ 00:01:28,470 --> 00:01:29,690
59
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
60
+
61
+ 16
62
+ 00:01:29,690 --> 00:01:29,730
63
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
64
+
65
+ 17
66
+ 00:01:29,730 --> 00:01:31,030
67
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
68
+
69
+ 18
70
+ 00:01:31,030 --> 00:01:31,030
71
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
72
+
73
+ 19
74
+ 00:01:31,030 --> 00:01:31,150
75
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
76
+
77
+ 20
78
+ 00:01:31,150 --> 00:01:32,650
79
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
80
+
81
+ 21
82
+ 00:01:32,650 --> 00:01:32,650
83
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
84
+
85
+ 22
86
+ 00:01:32,650 --> 00:01:36,890
87
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
88
+
89
+ 23
90
+ 00:01:36,890 --> 00:01:48,170
91
+ ุงู„ู…ุนุงู…ู„ุฉ ุงู„ู…ุนุงู…ู„ุฉ
92
+
93
+ 24
94
+ 00:01:50,010 --> 00:01:55,090
95
+ ุฐุง ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ุฅุฐุง ูƒุงู† ู‚ูŠู…ุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ู‚ุฑูŠุจุฉ ุฌุฏู‹ุง
96
+
97
+ 25
98
+ 00:01:55,090 --> 00:02:00,730
99
+ ู…ู† ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุชุŒ ูู„ู† ู†ู†ุฌุญ ู…ู† ู†ุงู„ ุงู„ุญูŠูˆุงู†ุงุช
100
+
101
+ 26
102
+ 00:02:00,730 --> 00:02:03,250
103
+ ุนู„ู‰ ุงู„ุงุชุตุงู„ ุงู„ุขุฎุฑุŒ ุฅุฐุง ูƒุงู†ุช ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุช
104
+
105
+ 27
106
+ 00:02:03,250 --> 00:02:06,990
107
+ ุจุนูŠุฏุฉ ู…ู† ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ู…ุตุทู„ุญุฉุŒ ูู„ู† ู†ู†ุฌุญ ู…ู†
108
+
109
+ 28
110
+ 00:02:06,990 --> 00:02:10,910
111
+ ู†ุงู„ ุงู„ุญูŠูˆุงู†ุงุชุŒ ูู„ูˆ ูƒุงู†ุช ุจุนูŠุฏุฉ ุนู†ู‡ุŒ ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„
112
+
113
+ 29
114
+ 00:02:10,910 --> 00:02:18,040
115
+ ุงู„ู…ุซุงู„ ุฅุฐุง X ุจุงุฑ ูƒู…ุง ุฐูƒุฑู†ุง 4ุŒ ูุฅุฐุง X ุจุงุฑ ูƒุงู† 10ู‡ู†ุง
116
+
117
+ 30
118
+ 00:02:18,040 --> 00:02:23,620
119
+ ูŠูˆุฌุฏ ูุฑู‚ ูƒุจูŠุฑ ุจูŠู† ู…ุตุฏุฑ ุงู„ูˆุซูŠู‚ุฉ ูˆ 30 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
120
+
121
+ 31
122
+ 00:02:23,620 --> 00:02:25,320
123
+ ู†ู†ู‚ุฐ ุงู„ู‡ูŠุจุงูˆุธุจุช ุฏู„ุงู„ุฉ ุงู„ู‡ูŠุจุงูˆุธุจุช
124
+
125
+ 32
126
+ 00:02:34,120 --> 00:02:38,100
127
+ is far enough to rejected zero ูƒุฏู‡ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง
128
+
129
+ 33
130
+ 00:02:38,100 --> 00:02:41,740
131
+ ุจูŠู† ุงู„ mean ู„ู„ sample ูˆ ุงู„ population ูŠุนู†ูŠ ูƒุฏู‡
132
+
133
+ 34
134
+ 00:02:41,740 --> 00:02:45,300
135
+ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง ุจูŠู†ู‡ู… ูƒุจูŠุฑ and we can reject none of
136
+
137
+ 35
138
+ 00:02:45,300 --> 00:02:49,320
139
+ it ูŠุนู†ูŠ ูƒุฏู‡ ูŠูƒูˆู† ุงู„ู…ุณุงูุฉ ุจูŠู†ู‡ู… ูƒุจูŠุฑุฉ ุนุดุงู† ุฃู‚ุฏุฑ ุฃู†
140
+
141
+ 36
142
+ 00:02:49,320 --> 00:02:53,420
143
+ ุฃุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ is how far is far enough ู‡ุฐุง
144
+
145
+ 37
146
+ 00:02:53,420 --> 00:02:55,960
147
+ ุงู„ู„ูŠ ุงุญู†ุง ู†ุดุฑ ุนู„ูŠู‡ ู…ู† ุฎู„ุงู„ ุญุงุฌุฉ ุงุณู…ู‡ุง critical
148
+
149
+ 38
150
+ 00:02:55,960 --> 00:03:02,300
151
+ valuesุงู„ุนู†ูˆุงู† ุงู„ุงุตุทู†ุงุนูŠ ู„ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
152
+
153
+ 39
154
+ 00:03:02,300 --> 00:03:09,400
155
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
156
+
157
+ 40
158
+ 00:03:09,400 --> 00:03:09,400
159
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
160
+
161
+ 41
162
+ 00:03:09,400 --> 00:03:10,220
163
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
164
+
165
+ 42
166
+ 00:03:10,220 --> 00:03:10,300
167
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
168
+
169
+ 43
170
+ 00:03:10,300 --> 00:03:10,300
171
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
172
+
173
+ 44
174
+ 00:03:10,300 --> 00:03:14,260
175
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
176
+
177
+ 45
178
+ 00:03:14,260 --> 00:03:27,080
179
+ ุชุฌุงุฑุจ
180
+
181
+ 46
182
+ 00:03:30,010 --> 00:03:38,130
183
+ ู…ุซู„ู‹ุงุŒ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉุŒ ู‡ู†ุงูƒ ุงุชุฌุงุฑุงุช
184
+
185
+ 47
186
+ 00:03:38,130 --> 00:03:41,970
187
+ ู…ุฎุชู„ูุฉุŒ ูˆุงุญุฏุฉ ุชุณู…ู‰ ู…ุฌู…ูˆุนุฉ ุงุชุฌุงุฑุงุช ู„ุง ุงุชุฌุงุฑุฉ
188
+
189
+ 48
190
+ 00:03:41,970 --> 00:03:46,210
191
+ ูˆุงู„ุซุงู†ูŠุฉ ู…ุฌู…ูˆุนุฉ ุงุชุฌุงุฑุงุช ู„ุง ุงุชุฌุงุฑุฉ
192
+
193
+ 49
194
+ 00:03:51,840 --> 00:03:54,180
195
+ ุชูƒูˆู† ู‡ู†ุงูƒ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
196
+
197
+ 50
198
+ 00:03:54,180 --> 00:03:54,820
199
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
200
+
201
+ 51
202
+ 00:03:54,820 --> 00:03:57,200
203
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
204
+
205
+ 52
206
+ 00:03:57,200 --> 00:03:57,940
207
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
208
+
209
+ 53
210
+ 00:03:57,940 --> 00:04:00,260
211
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
212
+
213
+ 54
214
+ 00:04:00,260 --> 00:04:02,720
215
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
216
+
217
+ 55
218
+ 00:04:02,720 --> 00:04:03,820
219
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ
220
+
221
+ 56
222
+ 00:04:03,820 --> 00:04:09,430
223
+ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู† ุงูˆ ุงู…ุงู…ูŠู†ู…ุน ุฐู„ูƒ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู†
224
+
225
+ 57
226
+ 00:04:09,430 --> 00:04:10,190
227
+ ุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
228
+
229
+ 58
230
+ 00:04:10,190 --> 00:04:11,190
231
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
232
+
233
+ 59
234
+ 00:04:11,190 --> 00:04:14,950
235
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
236
+
237
+ 60
238
+ 00:04:14,950 --> 00:04:15,610
239
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
240
+
241
+ 61
242
+ 00:04:15,610 --> 00:04:18,930
243
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
244
+
245
+ 62
246
+ 00:04:18,930 --> 00:04:23,030
247
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
248
+
249
+ 63
250
+ 00:04:23,030 --> 00:04:24,330
251
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
252
+
253
+ 64
254
+ 00:04:24,330 --> 00:04:35,350
255
+ ุจุงู„ู‚ูŠู… ุงู„ู…ู‚ุงุฑู†ุฉ
256
+
257
+ 65
258
+ 00:04:39,620 --> 00:04:45,700
259
+ ุงู„ุญุธุฉ ู‡ูŠ ุงู„ู…ูŠู† ู…ุธุจูˆุท ุงู„ region ู‡ุฏูˆู„ ู…ุงู„ู‡ู… ุงุจุนุงุฏ ุนู†
260
+
261
+ 66
262
+ 00:04:45,700 --> 00:04:50,680
263
+ population ู…ูŠู† ูุฅุฐุง ูƒุงู† ุฃู†ุง ู…ูˆุฌูˆุฏ ููŠ ุงู„ .. ููŠ
264
+
265
+ 67
266
+ 00:04:50,680 --> 00:04:52,780
267
+ these regions ููŠ ุงู„ rejection region then we
268
+
269
+ 68
270
+ 00:04:52,780 --> 00:04:56,140
271
+ reject the null hypothesis so suppose we are in
272
+
273
+ 69
274
+ 00:04:56,140 --> 00:05:00,180
275
+ these regions then we reject the null hypothesis
276
+
277
+ 70
278
+ 00:05:00,180 --> 00:05:02,400
279
+ now the question is how can we determine this
280
+
281
+ 71
282
+ 00:05:02,400 --> 00:05:08,870
283
+ region and the other oneู‡ุฐู‡ ุงู„ุณุคุงู„ ู„ู„ู…ุฌู„ุฏ ุงู„ูŠูˆู…
284
+
285
+ 72
286
+ 00:05:08,870 --> 00:05:18,010
287
+ ู‚ุจู„ ุฐู„ูƒ ุงุจุญุซ ุนู† ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุณู…ู‡ุง risk in
288
+
289
+ 73
290
+ 00:05:18,010 --> 00:05:20,910
291
+ decision making using hypothesis testing ู‡ู†ุงูƒ
292
+
293
+ 74
294
+ 00:05:20,910 --> 00:05:24,350
295
+ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงูˆู„ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุณู…ู‡ุง type one
296
+
297
+ 75
298
+ 00:05:24,350 --> 00:05:27,530
299
+ type
300
+
301
+ 76
302
+ 00:05:27,530 --> 00:05:31,570
303
+ one error ูŠุนู†ูŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุงูˆู„ ุงู„ definition
304
+
305
+ 77
306
+ 00:05:31,570 --> 00:05:37,950
307
+ ุชุจุนู‡ ู„ type one rejecttrue null hypothesis type
308
+
309
+ 78
310
+ 00:05:37,950 --> 00:05:49,050
311
+ one reject h0 when it is true ุงุฐุง
312
+
313
+ 79
314
+ 00:05:49,050 --> 00:05:52,050
315
+ ู‡ูŠ ุงูˆู„ ุชุนุฑูŠู ูŠุฌุจ ุงู† ุงุนุฑูู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน
316
+
317
+ 80
318
+ 00:05:52,050 --> 00:06:00,430
319
+ ุงู„ุงูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุฑูุถ h0 ู‡ูˆ ู…ุง ู‚ุงู„ู‡ ู‡ูˆ ุตุญูŠุญ
320
+
321
+ 81
322
+ 00:06:00,430 --> 00:06:03,390
323
+ ุงุฐุง reject is zero when it is true it is type one
324
+
325
+ 82
326
+ 00:06:03,390 --> 00:06:03,690
327
+ error
328
+
329
+ 83
330
+ 00:06:06,470 --> 00:06:11,090
331
+ ุงู„ู€ type 1 error is a false alarm ูŠุทู„ู‚ ุนู„ูŠู‡ false
332
+
333
+ 84
334
+ 00:06:11,090 --> 00:06:16,390
335
+ alarm ูŠุนู†ูŠ ุชู†ุจูŠู‡ ุฃูˆ ุชุนุฐูŠุฑ ุฃู† ููŠ ุนู†ุฏูŠ ุฎุทุฃ ูุงู„ุฎุทุฃ
336
+
337
+ 85
338
+ 00:06:16,390 --> 00:06:22,930
339
+ ุนุจุงุฑุฉ ุนู† reject when it's zero is true I mean when
340
+
341
+ 86
342
+ 00:06:22,930 --> 00:06:28,720
343
+ it is true I mean when it's zero is trueุฅุฐุง type
344
+
345
+ 87
346
+ 00:06:28,720 --> 00:06:31,960
347
+ one error it means rejection is zero when in fact
348
+
349
+ 88
350
+ 00:06:31,960 --> 00:06:35,960
351
+ it's zero is true ุฅุฐุง type ุงู„ุฎุทุฃ ู…ู† ู†ูˆุน ุงู„ุฃูˆู„
352
+
353
+ 89
354
+ 00:06:35,960 --> 00:06:41,680
355
+ ู…ุนู†ุงู‡ ุฑูุถ ุงู„ูุฑุงุฏูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆ ู‡ูŠ ุฅูŠุด ูˆ ู‡ูŠ ุตุญูŠุญุฉ ุฅุฐุง
356
+
357
+ 90
358
+ 00:06:41,680 --> 00:06:47,960
359
+ ุฃู†ุง ุฏูŠ ุฃุจู‚ู‰ ุฑูุถ it's zero ูˆ ู‡ูŠ ุตุญูŠุญุฉ ุฃู†ุง ุจุฑูุถ ุดูŠุก
360
+
361
+ 91
362
+ 00:06:47,960 --> 00:06:52,040
363
+ ุตุญ ู…ุน ูƒุฏู‡ we commit type one error ุงู„ู„ูŠ ุจุฑูุถ ุดูŠุก
364
+
365
+ 92
366
+ 00:06:52,040 --> 00:06:55,280
367
+ ุตุญ ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏู‡ ุฎุทุฃ ู…ุด ู‡ูŠูƒ ู†ุณู…ูŠู‡ type one error
368
+
369
+ 93
370
+ 00:06:56,780 --> 00:07:05,100
371
+ ุงู„ุนู†ูˆุงู† ุงู„ูˆุงู‚ุนูŠ ู„ู„ุฎุทุฃ ุงู„ูˆุงุญุฏ ู‡ูˆ Alpha ุงู„ูˆุงู‚ุนูŠ
372
+
373
+ 94
374
+ 00:07:05,100 --> 00:07:17,120
375
+ ู„ู„ุฎุทุฃ
376
+
377
+ 95
378
+ 00:07:17,120 --> 00:07:23,820
379
+ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
380
+
381
+ 96
382
+ 00:07:25,430 --> 00:07:30,610
383
+ ู‡ุฐุง ุจู†ุณู…ูŠู‡ alpha ู‡ุฐุง pronounced as alpha ู‡ุฐุง
384
+
385
+ 97
386
+ 00:07:30,610 --> 00:07:38,070
387
+ gereclator alpha ุฒูŠ ู…ูŠูˆ ูˆ ุฒูŠ ุณูŠุฌู…ุง gereclator this
388
+
389
+ 98
390
+ 00:07:38,070 --> 00:07:44,290
391
+ alpha is called level
392
+
393
+ 99
394
+ 00:07:44,290 --> 00:07:45,890
395
+ of significance of the test
396
+
397
+ 100
398
+ 00:07:52,460 --> 00:07:55,300
399
+ ุงู„ูƒุจูŠุฑ ู…ุซู„ุง ู‡ู†ุง ู…ุณุชูˆู‰ ุงู„ู…ุนู†ูˆูŠุฉ ุฃูˆ ู…ุณุชูˆู‰ ุงู„ุฃู‡ู…ูŠุฉ
400
+
401
+ 101
402
+ 00:07:55,300 --> 00:08:03,360
403
+ ู†ุณู…ูŠู‡ุง alpha is level of significance ู‡ูŠ
404
+
405
+ 102
406
+ 00:08:03,360 --> 00:08:09,180
407
+ ู…ุณุชูˆู‰ ุงู„ู…ุนู†ูˆูŠุฉ this
408
+
409
+ 103
410
+ 00:08:09,180 --> 00:08:13,540
411
+ alpha is set by researcher in advance ุงู„ู„ูŠ ุจุญุชุญุทู‡ุง
412
+
413
+ 104
414
+ 00:08:13,540 --> 00:08:17,380
415
+ ู„ู†ูุณู‡ ู…ู† ุงู„ุจุฏุงูŠุฉ ู„ุฐุง ุงู†ุง ููŠ ุนูŠู†ูŠ ุชุนุฑูŠู ู…ู‡ู… ูˆ ู‡ุฐุง
416
+
417
+ 105
418
+ 00:08:17,380 --> 00:08:20,680
419
+ ุญุงุฌุฉ ุบุฑูŠุจ ุดูƒู„ ูƒุจูŠุฑit's called type one error ุงู„ู„ูŠ
420
+
421
+ 106
422
+ 00:08:20,680 --> 00:08:25,420
423
+ ู‡ูˆ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุชุนุฑูŠูู‡ reject true null
424
+
425
+ 107
426
+ 00:08:25,420 --> 00:08:28,440
427
+ hypothesis it means we reject the null hypothesis
428
+
429
+ 108
430
+ 00:08:28,440 --> 00:08:31,860
431
+ when in fact it is true ูŠุนู†ูŠ ุจุฑูุถู‡ ูˆ ููŠ ุงู„ูˆุงู‚ุน
432
+
433
+ 109
434
+ 00:08:31,860 --> 00:08:36,420
435
+ ู…ุนู„ู‡ ุตุญ ู„ูˆ ุจุฑูุถ ุดูŠุก ุตุญ ู…ุน ูƒุฏู‡ ูุนู†ุฏูŠ ุฎุทุฃ ู‡ุฐุง ุฎุทุฃ
436
+
437
+ 110
438
+ 00:08:36,420 --> 00:08:42,820
439
+ ุจุณู…ูŠู‡ ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ type one errorุงู„ุณุคุงู„
440
+
441
+ 111
442
+ 00:08:42,820 --> 00:08:45,580
443
+ ุงู„ุซุงู†ูŠ ู‡ูˆ ุฅุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
444
+
445
+ 112
446
+ 00:08:45,580 --> 00:08:49,800
447
+ ุจุงุณู…ู‡ Alpha ุฅุฐุง ุงุญุชู…ุงู„ ู‡ุฐุง ุงู„ุฎุทุฃ ู‡ูˆ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน
448
+
449
+ 113
450
+ 00:08:49,800 --> 00:08:52,840
451
+ ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุจุงุณู…ู‡ Alpha ุฅุฐุง Alpha
452
+
453
+ 114
454
+ 00:08:52,840 --> 00:09:01,700
455
+ ุนุจุงุฑุฉ ุนู† ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
456
+
457
+ 115
458
+ 00:09:01,700 --> 00:09:05,700
459
+ ู…ุงู‡ูˆ ู‚ูŠู…ุฉ AlphaุŸ
460
+
461
+ 116
462
+ 00:09:10,610 --> 00:09:14,630
463
+ ุงู„ู‚ูŠู…ุฉ Alpha ุจุญุทู‡ุง ุงู„ุจุงุญุซ ููŠ ุงู„ุจุฏุงูŠุฉ Do you think
464
+
465
+ 117
466
+ 00:09:14,630 --> 00:09:19,050
467
+ Alpha is large or smallุŸ ุฃุชูˆู‚ุน Alpha ุชูƒูˆู† ุตุบูŠุฑุฉ ูˆ
468
+
469
+ 118
470
+ 00:09:19,050 --> 00:09:22,550
471
+ ู„ุง ูƒุจูŠุฑุฉุŸ ู„ุงุฒู… ุชูƒูˆู† ุตุบูŠุฑุฉ ู„ุฅูŠุดุŸ ู„ุฅู† ุงุญู†ุง we reject
472
+
473
+ 119
474
+ 00:09:22,550 --> 00:09:27,290
475
+ true or null ุจุฑูุถ ุดูŠุก ุตุญ ู…ุงุจู‚ู‰ ูƒุฏู‡ ุจุชุฎู„ูŠ ุฎุทุฉ
476
+
477
+ 120
478
+ 00:09:27,290 --> 00:09:32,390
479
+ ุฃุนู…ุงู„ู‡ ุตุบูŠุฑุฉ ูุจุงู„ุชุงู„ูŠ Alpha should be small the
480
+
481
+ 121
482
+ 00:09:32,390 --> 00:09:34,230
483
+ other error is called type 2 error
484
+
485
+ 122
486
+ 00:09:40,130 --> 00:09:44,430
487
+ ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ ุงู„ compliment ุชุจุน type 1 error
488
+
489
+ 123
490
+ 00:09:44,430 --> 00:09:48,210
491
+ ุงู„ู…ุชูƒู…ู„ ุฃูŠู‡ ู„ู‡ุŸ ุฅูŠุด ุงู„ type 1 errorุŸ reject
492
+
493
+ 124
494
+ 00:09:48,210 --> 00:09:52,190
495
+ through null hypothesis ุงู„ุชุงู†ูŠ ุฅูŠุด ู…ูƒุชูˆุจ ุนู„ูŠู‡ุŸ
496
+
497
+ 125
498
+ 00:09:52,190 --> 00:09:55,850
499
+ failure to reject false null hypothesis ู„ุญุธุฉ ุนูƒุณู‡
500
+
501
+ 126
502
+ 00:09:55,850 --> 00:09:59,850
503
+ ุชู…ุงู…ุง ู‡ู†ุง ุจู†ุญูƒูŠ reject ุงู„ุชุงู†ูŠ ุฅูŠุด ู…ูˆุฌูˆุฏุŸ failure
504
+
505
+ 127
506
+ 00:09:59,850 --> 00:10:03,090
507
+ to .. ุฅูŠุด ู…ุนู†ุงู‡ failure to rejectุŸ ูุดู„ุŒ ุนุฏู… ุฑูุถ
508
+
509
+ 128
510
+ 00:10:05,790 --> 00:10:10,210
511
+ failure to reject ู‡ู†ุง ุฅูŠุด ูƒุงู† true ุฅูŠุด ุตุงุฑ false
512
+
513
+ 129
514
+ 00:10:10,210 --> 00:10:15,670
515
+ ุฅุฐุง ุงู„ุฅุชู†ูŠู† ู…ูƒู…ู„ุงุช ู„ุจุนุถ ุฅุฐุง failure to reject
516
+
517
+ 130
518
+ 00:10:15,670 --> 00:10:22,670
519
+ false ู†ู„ุนุจ false ู†ุณู…ูŠู‡ type two error ุฅุฐุง ุงู„ุนูƒุณ
520
+
521
+ 131
522
+ 00:10:22,670 --> 00:10:24,930
523
+ ุงู„ู„ูŠ ู‡ู†ุง ุจุฏู„ ู…ุง ุฃุญูƒูŠ reject ุฃุญูƒูŠู‡ุงุด failure
524
+
525
+ 132
526
+ 00:10:24,930 --> 00:10:34,580
527
+ failure to reject it's zero ูŠุนู†ูŠyou can say just
528
+
529
+ 133
530
+ 00:10:34,580 --> 00:10:38,520
531
+ accept but it's better to say failure to reject so
532
+
533
+ 134
534
+ 00:10:38,520 --> 00:10:42,580
535
+ we are usually we prefer to say failure to reject
536
+
537
+ 135
538
+ 00:10:42,580 --> 00:10:46,720
539
+ or don't reject don't say accept ุฒูŠ ู…ุง ุจู†ุญูƒูŠ ุฏุงูŠู…ุง
540
+
541
+ 136
542
+ 00:10:46,720 --> 00:10:51,020
543
+ ุนุฏู… ุฑูุถ ู…ุงุจู†ุญูƒูŠุด ู‚ุจูˆู„ ุงุฐุง failure to reject is
544
+
545
+ 137
546
+ 00:10:51,020 --> 00:10:57,320
547
+ zero when it is false when it's zero is false ูŠุนู†ูŠ
548
+
549
+ 138
550
+ 00:10:57,320 --> 00:11:03,970
551
+ ู…ุด ู…ุนู†ุงู‡ ุนุฏู… ู…ุด ู„ุงุญุธ ู‡ู†ุง ู…ุด ู…ูˆุฌูˆุฏ ุฑูุถ ุงูŠุด ุจุตูŠุฑุนุฏู…
552
+
553
+ 139
554
+ 00:11:03,970 --> 00:11:11,590
555
+ ุฑูุถู‡ ุนุฏู… ุฑูุถ ุงู„ zero ูˆู‡ูŠ ุฎุงุทุฆุฉ ุฃู†ุง ุจุฑูุถุด ุดูŠุก ุบู„ุท
556
+
557
+ 140
558
+ 00:11:11,590 --> 00:11:17,770
559
+ ุจุฑูุถุด ูŠุนู†ูŠ ุจู‚ุจู„ ุดูŠุก ุฎุทุฃ ู…ุน ูƒู„ ูุนู„ ุฏู‡ ุบู„ุท ุงุฐุง when
560
+
561
+ 141
562
+ 00:11:17,770 --> 00:11:19,930
563
+ we don't reject the null hypothesis when the fact
564
+
565
+ 142
566
+ 00:11:19,930 --> 00:11:24,690
567
+ is false it means we commit type 2 error ูˆุงุถุญ ู„ู…ุง
568
+
569
+ 143
570
+ 00:11:24,690 --> 00:11:31,690
571
+ ุจุฑูุถุด ุดูŠุก ุบู„ุท ูˆู‚ุนุช ุฎุทุฃ this error is called type 2
572
+
573
+ 144
574
+ 00:11:31,690 --> 00:11:37,620
575
+ errorู‡ูŠ ุฃุณูˆุฃ ู…ู† ุงู„ุฏู…ุงุบ ุงู„ู€ type 1ุŸ ู‡ู… ุงู„ุฃุซู†ูŠู† ุนูƒุณ
576
+
577
+ 145
578
+ 00:11:37,620 --> 00:11:42,460
579
+ ุจุนุถ ุงุญู†ุง ู‡ุฑูƒุฒ ุนู„ู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ุจุนุฏ ุดูˆูŠุฉ ุงู„
580
+
581
+ 146
582
+ 00:11:42,460 --> 00:11:46,800
583
+ probability of type two error is beta ู…ุด beta
584
+
585
+ 147
586
+ 00:11:46,800 --> 00:11:56,400
587
+ ูŠุชู„ูุธ beta ู…ุด beta ุงู„ probability ุงู„ probability
588
+
589
+ 148
590
+ 00:11:56,400 --> 00:12:08,750
591
+ of type two errorู‡ู†ุง ูƒู†ุง ู†ุณู…ูŠู‡ุง alpha ู‡ูŠ ุชูƒุชุจ beta
592
+
593
+ 149
594
+ 00:12:08,750 --> 00:12:16,310
595
+ ุจุณ ุชูƒุชุจ beta ู‡ูŠูƒ ุจุณ ุชู„ูุธ beta ู…ุงููŠุด ุญุงุฌุฉ ุงุณู…ู‡ุง
596
+
597
+ 150
598
+ 00:12:16,310 --> 00:12:21,270
599
+ beta ููŠ ุงู„ curriculum beta, theta and so on ุงุฐุง
600
+
601
+ 151
602
+ 00:12:21,270 --> 00:12:24,090
603
+ there are two types of error one is called type
604
+
605
+ 152
606
+ 00:12:24,090 --> 00:12:29,170
607
+ one type one it means we reject through null
608
+
609
+ 153
610
+ 00:12:29,170 --> 00:12:33,910
611
+ hypothesis ู†ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุณูุฑูŠุฉ ุตุญุงู„ู†ุณุจุฉ ู„ู„ู€
612
+
613
+ 154
614
+ 00:12:33,910 --> 00:12:36,050
615
+ Probability ุชุจุน ุงู„ู€ Type I Error ุชุณู…ู‰ Alpha ูˆ
616
+
617
+ 155
618
+ 00:12:36,050 --> 00:12:39,050
619
+ Alpha ุชุณู…ู‰ Level of Significance ุงู„ู€ Type II Error
620
+
621
+ 156
622
+ 00:12:39,050 --> 00:12:43,290
623
+ ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุง ู†ุชุฑุฌู… ุฎุงุทุฆุฉ ู†ุงู†ูˆู‡ุง ุฑูŠุจูˆุชู‡ุฒ ูˆ
624
+
625
+ 157
626
+ 00:12:43,290 --> 00:12:48,690
627
+ Probability ู†ุณู…ูŠู‡ุง Beta ู‡ุฐูˆ ุงู„ู€ Two Types Of Error
628
+
629
+ 158
630
+ 00:12:48,690 --> 00:12:57,270
631
+ ุงู„ุงู† ู‡ุฐุง ุงู„ูƒู„ุจ ูŠู…ุซู„ ุญุงู„ุฉ ุงู„ุชุฑุฌู…ู‡ ุฃูˆ ู„ุง ุชุฑุฌู…ู‡ ุงู„ุงู†
632
+
633
+ 159
634
+ 00:12:57,270 --> 00:13:07,290
635
+ ู‚ุฑุงุฑ ุชุจุนู†ุง either don't reject ุงูˆreject ุงู„ูˆุถุน
636
+
637
+ 160
638
+ 00:13:07,290 --> 00:13:13,990
639
+ ุงู„ุญู‚ูŠู‚ูŠ ุฅู…ุง H0 ู‡ูˆ ุตุญ ุฃูˆ H0 ู‡ูˆ ุฎุงุทุฆ ุฅุฐุง H0 ูƒุงู†ุช ุตุญ
640
+
641
+ 161
642
+ 00:13:13,990 --> 00:13:23,330
643
+ ุฃูˆ ุฎุงุทุฆ ู‚ุฑุงุฑูŠ ุฅู…ุง ุนุฏู… ุฑูุถ ุฃูˆ ุฑูุถ ู†ู…ุณูƒ
644
+
645
+ 162
646
+ 00:13:23,330 --> 00:13:27,690
647
+ ูˆุงุญุฏ ูˆุงุญุฏ ู„ูˆ ุญูƒูŠุช don't reject ุงู„ zero when it is
648
+
649
+ 163
650
+ 00:13:27,690 --> 00:13:34,630
651
+ true ุจุฑูุถุด ุดูŠุก ุตุญูŠุนู†ูŠ ุจู‚ุจู„ ุดุฆ ุตุญูŠุญ ู…ุนู†ุงู‡ ุฅูŠุดุŸ no
652
+
653
+ 164
654
+ 00:13:34,630 --> 00:13:40,070
655
+ error ุฅุฐุง ู‡ุฐุง correct decision ุฅุฐุง ู‡ุฐุง correct
656
+
657
+ 165
658
+ 00:13:40,070 --> 00:13:49,310
659
+ ูŠุนู†ูŠ ู‚ุฑุงุฑ ู…ุงู†ูˆ ุตุญูŠุญ ุฅุฐุง don't reject a zero when
660
+
661
+ 166
662
+ 00:13:49,310 --> 00:13:53,770
663
+ fact it is true it means correct decision ู‚ุฑุงุฑ
664
+
665
+ 167
666
+ 00:13:53,770 --> 00:14:02,340
667
+ ุตุญูŠุญ ุฎู„ุงุต ุจุฑุถู‡ ู„ู…ุง ุจุญูƒูŠ rejected zerowhen it is
668
+
669
+ 168
670
+ 00:14:02,340 --> 00:14:09,940
671
+ false ุจุฑูุถ ุดูŠุก ุฎุทุฃ ุงู†ุง ุจุฑูุถ ุดูŠุก ุบู„ุท ู‚ุฑุงุฑ ุตุญ ูˆู„ุง ..
672
+
673
+ 169
674
+ 00:14:09,940 --> 00:14:17,240
675
+ ูˆู„ุง .. ุงุฐุง ู‡ุฐุง ุตุญ ุงุฐุง ู‡ุฐุง correct decision ุงุฐุง
676
+
677
+ 170
678
+ 00:14:17,240 --> 00:14:23,200
679
+ ุงู„ู‚ุฑุงุฑ ุณู„ูŠู… ุจูŠุฌูŠ ููŠ ุญุงู„ุชูŠู† ุงู…ุง ุนุฏู… ุฑูุถ ุดูŠุก ุตุญูŠุญ ุงูˆ
680
+
681
+ 171
682
+ 00:14:23,200 --> 00:14:27,580
683
+ ุฑูุถ ุดูŠุก ุฎุงุทุฑ ู…ุธุจูˆุท ู‡ุฏูˆู„ ุงุชู†ูŠู† correct decisionุนูƒุณ
684
+
685
+ 172
686
+ 00:14:27,580 --> 00:14:31,100
687
+ ุงู„ู„ูŠ ูุงุชูˆุง ู„ุฃู† ุงู„ type one error ุจูŠุฌูŠ ู…ู† ูˆูŠู† ู†ู‚ุฑุฃ
688
+
689
+ 173
690
+ 00:14:31,100 --> 00:14:35,300
691
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ
692
+
693
+ 174
694
+ 00:14:35,300 --> 00:14:37,660
695
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
696
+
697
+ 175
698
+ 00:14:37,660 --> 00:14:37,660
699
+ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู†
700
+
701
+ 176
702
+ 00:14:37,660 --> 00:14:37,740
703
+ ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ
704
+
705
+ 177
706
+ 00:14:37,740 --> 00:14:37,940
707
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
708
+
709
+ 178
710
+ 00:14:37,940 --> 00:14:37,940
711
+ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู†
712
+
713
+ 179
714
+ 00:14:37,940 --> 00:14:37,940
715
+ ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ
716
+
717
+ 180
718
+ 00:14:37,940 --> 00:14:38,620
719
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
720
+
721
+ 181
722
+ 00:14:38,620 --> 00:14:53,720
723
+ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู†
724
+
725
+ 182
726
+ 00:14:53,720 --> 00:14:57,310
727
+ ู‡ู†ุงูƒู‡ุฏูˆู„ ุงุชู†ูŠู† complement ุฅุฐุง ู‡ุฐู‡ alpha ุฅูŠุด ุจุชูƒูˆู†
728
+
729
+ 183
730
+ 00:14:57,310 --> 00:15:02,030
731
+ ุงู„ูˆุงุญุฏ ู†ู‚ุต alpha ุฅุฐุง ู‡ุฐู‡ beta ุงู„ุชุงู†ูŠุฉ ูˆุงุญุฏ ู†ู‚ุต
732
+
733
+ 184
734
+ 00:15:02,030 --> 00:15:06,150
735
+ beta ุชู…ูŠู† ุฃุญุณู† ูˆุงุญุฏุฉ ููŠู‡ู… ูŠุนู†ูŠ ุงู„ power ู„ู„ test
736
+
737
+ 185
738
+ 00:15:06,150 --> 00:15:11,490
739
+ ุจุชูƒูˆู† ู…ู† ุฌุงูŠุฉ ู„ู…ุง we reject ุดูŠุก ุฎุทุฃ ู…ุธุจูˆุท ู„ู…ุง ุจุฑูุถ
740
+
741
+ 186
742
+ 00:15:11,490 --> 00:15:15,470
743
+ ุดูŠุก ุบู„ุท ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏูŠ ู‚ูˆุฉ ุฅุฐุง probability is zero
744
+
745
+ 187
746
+ 00:15:15,470 --> 00:15:21,090
747
+ when we reject zero when it is false it's called
748
+
749
+ 188
750
+ 00:15:22,520 --> 00:15:26,500
751
+ ุงู„ู€ Power ุงู„ู€ Power ู„ู„ุชุณุช ุนุจุงุฑุฉ ุนู† 1-ฮฒ ู‚ูˆุฉ
752
+
753
+ 189
754
+ 00:15:26,500 --> 00:15:30,660
755
+ ุงู„ุงุฎุชุจุงุฑ ุจุชูŠุฌูŠ ู…ู† ุฎู„ุงู„ ุฑูุถูƒ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ
756
+
757
+ 190
758
+ 00:15:30,660 --> 00:15:43,440
759
+ ุงูŠุด ุงู„ power ู…ุนู†ุงู‡ุง reject it's zero when it is
760
+
761
+ 191
762
+ 00:15:43,440 --> 00:15:51,060
763
+ false ุงู„ probability ุงู„ู„ูŠ ู‡ูŠ 1-ฮฒ ู‡ูŠ ุจุชุณู…ูŠู‡ุง ุงู„
764
+
765
+ 192
766
+ 00:15:51,060 --> 00:15:55,370
767
+ power ู„ู„ุชุณุชุฅุฐุง ุงู„ power ู„ู„ test ุนุจุงุฑุฉ ุนู† one minus
768
+
769
+ 193
770
+ 00:15:55,370 --> 00:16:01,390
771
+ beta ุฅูŠุด betaุŸ ู‡ูŠ beta ุงู„ู„ูŠ ู‡ูŠ probability of type
772
+
773
+ 194
774
+ 00:16:01,390 --> 00:16:04,210
775
+ two error type two error ุนุจุงุฑุฉ ุนู† failure to
776
+
777
+ 195
778
+ 00:16:04,210 --> 00:16:08,750
779
+ reject ุงู„ zero when it is false ุฎู„ุงุต ุฅุฐุง ุฏูˆู„
780
+
781
+ 196
782
+ 00:16:08,750 --> 00:16:13,750
783
+ ุงู„ุฃุฑุจุน ุฃุดู‡ุฑ ู„ุงุฒู… ุฃุนุฑูู‡ู… ููŠ ุนู†ุฏูŠ correct decision
784
+
785
+ 197
786
+ 00:16:13,750 --> 00:16:16,490
787
+ either don't reject the zero when it is true or
788
+
789
+ 198
790
+ 00:16:16,490 --> 00:16:20,070
791
+ reject the zero when it is falseType 1 Error ูŠุนู†ูŠ
792
+
793
+ 199
794
+ 00:16:20,070 --> 00:16:24,290
795
+ ุฅู†ู‡ ู…ุฌุฑุฏ ุฅุฌุงุจุฉ ุตุญูŠุญุฉ ูˆType 2 Error ู…ุฌุฑุฏ ุฅุฌุงุจุฉ
796
+
797
+ 200
798
+ 00:16:24,290 --> 00:16:28,650
799
+ ุตุญูŠุญุฉ ูˆู‡ุฐุง ูŠุนุฑููŠู‡ู… ุฃุฑุจุน ุดุฑูŠุท ู…ู‡ู…ุงุช ูˆู‡ูŠ ุงู„ู€table
800
+
801
+ 201
802
+ 00:16:28,650 --> 00:16:33,570
803
+ ุชุจุนู‡ู… ุงู„ุงู†
804
+
805
+ 202
806
+ 00:16:33,570 --> 00:16:37,490
807
+ ุงุญุฐุฑ ุงู† Alpha ู‡ูˆ level of significance ูˆAlpha ู‡ูˆ
808
+
809
+ 203
810
+ 00:16:37,490 --> 00:16:43,890
811
+ probability of Type 1 Error ุงู„ูˆุงุญุฏ
812
+
813
+ 204
814
+ 00:16:43,890 --> 00:16:44,990
815
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
816
+
817
+ 205
818
+ 00:16:44,990 --> 00:16:45,030
819
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
820
+
821
+ 206
822
+ 00:16:45,030 --> 00:16:45,090
823
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
824
+
825
+ 207
826
+ 00:16:45,090 --> 00:16:45,110
827
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
828
+
829
+ 208
830
+ 00:16:45,110 --> 00:16:45,110
831
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
832
+
833
+ 209
834
+ 00:16:45,110 --> 00:16:45,150
835
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
836
+
837
+ 210
838
+ 00:16:45,150 --> 00:16:45,170
839
+ ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ
840
+
841
+ 211
842
+ 00:16:49,040 --> 00:16:54,440
843
+ ุงู„ูุง ู‡ูŠ ุงู„ูุง ุนุจุงุฑุฉ ุนู† probability of type one
844
+
845
+ 212
846
+ 00:16:54,440 --> 00:16:58,120
847
+ error ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆู ุงู„ุฎุทุฃ ุจูŠู† ุงู„ุฃูˆู„ ูŠุนู†ูŠ ุงุญุชู…ุงู„
848
+
849
+ 213
850
+ 00:16:58,120 --> 00:17:01,820
851
+ reject ุงู„ zero when it is true ู‡ุฐู‡ ุงู„ูุง ุทุจ ุงู„ one
852
+
853
+ 214
854
+ 00:17:01,820 --> 00:17:08,160
855
+ minus alpha is the probability ุทู„ุนุช ุชุนุฑูŠู ู„ุญุธ ู‡ู†ุง
856
+
857
+ 215
858
+ 00:17:08,160 --> 00:17:14,160
859
+ ุงู„ type one ุนุจุงุฑุฉ ุนู† reject ุงู„ zero ุฏู‡ ู…ุณุญ ุงู„ู„ูŠ
860
+
861
+ 216
862
+ 00:17:14,160 --> 00:17:23,100
863
+ ุชุญุช ุทู„ุน ุงู„ one minus alphaู‡ุฐู‡ Alpha Probability of
864
+
865
+ 217
866
+ 00:17:23,100 --> 00:17:25,560
867
+ type one error ูŠุนู†ูŠ Probability of rejecting zero
868
+
869
+ 218
870
+ 00:17:25,560 --> 00:17:28,320
871
+ when it is true ุทูŠุจ ุงู„ one minus Alpha ุนุจุงุฑุฉ ุนู†
872
+
873
+ 219
874
+ 00:17:28,320 --> 00:17:34,120
875
+ ุฃูŠุดุŸ ุนุจุงุฑุฉ ุนู† .. ู…ุง ุชู†ุณูŠุด ูƒู„ู…ุฉ Probability of ..
876
+
877
+ 220
878
+ 00:17:34,120 --> 00:17:37,820
879
+ ู†ู…ุณูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ type one error reject ู„ุง ูŠู…ูƒู†ู†ูŠ
880
+
881
+ 221
882
+ 00:17:37,820 --> 00:17:40,740
883
+ ุฃู† ุฃูุณุฑ ุงู„ุนูƒุณ not reject is Probability of not
884
+
885
+ 222
886
+ 00:17:40,740 --> 00:17:47,360
887
+ rejecting of not rejecting it zero when it is true
888
+
889
+ 223
890
+ 00:17:47,360 --> 00:17:54,330
891
+ when it is zeroIs it trueุŸ ูŠุนู†ูŠ for example ู„ูˆ
892
+
893
+ 224
894
+ 00:17:54,330 --> 00:18:00,310
895
+ alpha equal five percent ุงู„
896
+
897
+ 225
898
+ 00:18:00,310 --> 00:18:05,530
899
+ one minus alpha ุฅูŠุด ู‡ุชุณุงูˆูŠ 95% ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ู‚ู„
900
+
901
+ 226
902
+ 00:18:05,530 --> 00:18:07,550
903
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ complement ุงู„ู„ูŠ ู‡ูŠ
904
+
905
+ 227
906
+ 00:18:07,550 --> 00:18:10,150
907
+ probability of not rejecting zero when it is true
908
+
909
+ 228
910
+ 00:18:10,150 --> 00:18:14,210
911
+ The confidence level of a hypothesis test is one
912
+
913
+ 229
914
+ 00:18:14,210 --> 00:18:17,250
915
+ minus alpha times one hundred percent ู„ูˆ ุฃุทู„ุน ู†ุณุจุฉ
916
+
917
+ 230
918
+ 00:18:17,250 --> 00:18:22,960
919
+ ุงู„ู…ุฆูˆูŠุฉ ุฅูŠุด ุจุฃุนู…ู„ุŸุจุงุฌูŠ ู‡ุฐู‡ ู…ุงุฐุง ุจุนู…ู„ ููŠู‡ุงุŸ ุจุถุฑุจู‡ุง
920
+
921
+ 231
922
+ 00:18:22,960 --> 00:18:27,100
923
+ ููŠ 100 ูุชุทู„ุน ู…ุนุงูŠุง ุงูŠุดุŸ ุงุฐุง ุจุญูƒูŠ point nine five
924
+
925
+ 232
926
+ 00:18:27,100 --> 00:18:32,760
927
+ ูƒูŠู ุชุทู„ุน ู†ุณุจุงู„ูŠ ู…ู‚ุงูˆูŠุฉุŸ ุชุถุฑุจูŠู‡ุง ููŠ 100 ูู‡ุฐุง ุญุณุงุจ
928
+
929
+ 233
930
+ 00:18:32,760 --> 00:18:37,960
931
+ 95% ู‡ุฐู‡ ุจู†ุณู…ูŠู‡ุง the confidence level ูŠุนู†ูŠ ุงูŠุดุŸ
932
+
933
+ 234
934
+ 00:18:37,960 --> 00:18:44,380
935
+ ู…ุณุชูˆู‰ ุงู„ุซู‚ุฉ ุฅุฐุง ุฅุฐุง ูƒุงู† ุงู„ุฎุทุฃ 5% ุงู„ุซู‚ุฉ ุงูŠุด ุจุชูƒูˆู†ุŸ
936
+
937
+ 235
938
+ 00:18:44,380 --> 00:18:50,200
939
+ 95 ู‡ูŠ ุงู„ compliment ุจุชุงุนุชู‡ุงุฅุฐุง ุฅุฐุง Alpha ุงู„ู„ูŠ ู‡ูŠ
940
+
941
+ 236
942
+ 00:18:50,200 --> 00:18:54,680
943
+ ุชุนุฑูŠูู‡ุง ู…ุฑุฉ ุชุงู†ูŠุฉ Alpha probability of type one
944
+
945
+ 237
946
+ 00:18:54,680 --> 00:18:57,900
947
+ error ูŠุนู†ูŠ Alpha ุนุจุงุฑุฉ ุนู† probability of rejecting
948
+
949
+ 238
950
+ 00:18:57,900 --> 00:19:01,260
951
+ zero when it is true ูุงู„ one minus Alpha ุนุจุงุฑุฉ ุนู†
952
+
953
+ 239
954
+ 00:19:01,260 --> 00:19:03,640
955
+ probability of not rejecting zero when it is true
956
+
957
+ 240
958
+ 00:19:03,640 --> 00:19:08,420
959
+ ุงู„ one minus Alpha is called confidence level
960
+
961
+ 241
962
+ 00:19:08,420 --> 00:19:11,860
963
+ ู…ุณุชูˆู‰ ุงู„ุซู‚ุฉ ูู„ูˆ Alpha is one percent it means one
964
+
965
+ 242
966
+ 00:19:11,860 --> 00:19:15,680
967
+ minus Alpha is nine nine percent and so on the
968
+
969
+ 243
970
+ 00:19:15,680 --> 00:19:19,700
971
+ powerof a statistical power ุงู„ู‚ูˆุฉ ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ูŠ
972
+
973
+ 244
974
+ 00:19:19,700 --> 00:19:23,180
975
+ ุญูƒูŠุช ุนู„ูŠู‡ุง ุนุจุงุฑุฉ ุนู† ู…ูŠู† one minus beta is a
976
+
977
+ 245
978
+ 00:19:23,180 --> 00:19:26,140
979
+ probability of rejecting a zero when it is false
980
+
981
+ 246
982
+ 00:19:26,140 --> 00:19:30,320
983
+ ุงู„ู„ูŠ ูƒุงู†ุช ุฃุฎุฑ ุญุฏุซ ููŠ ุงู„ุฌุฏูˆู„ ู„ูŠู‡ุง ุฏูŠ rejected zero
984
+
985
+ 247
986
+ 00:19:30,320 --> 00:19:33,260
987
+ when it is false is called the power of the test
988
+
989
+ 248
990
+ 00:19:33,260 --> 00:19:36,780
991
+ ุฅุฐุง ุงู„ power ุนุจุงุฑุฉ ุนู† rejected zero when in fact
992
+
993
+ 249
994
+ 00:19:36,780 --> 00:19:41,340
995
+ it is false ุจุฑูุถ ุดูŠุก ุบู„ุท ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ู‚ูˆุฉ ุงู„ุงุฎุชุจุงุฑ
996
+
997
+ 250
998
+ 00:19:41,340 --> 00:19:46,990
999
+ ู‡ุฏูˆู„ definitions ุงู„ู„ูŠ ุงุนุฑููŠู‡ู…ุงู„ุงู† ู‡ู†ุนุทูŠ ููŠ two
1000
+
1001
+ 251
1002
+ 00:19:46,990 --> 00:19:50,470
1003
+ slides ุงู„ relationship between type 1 and type 2
1004
+
1005
+ 252
1006
+ 00:19:50,470 --> 00:19:53,830
1007
+ errors ุงู„ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ุฎุทุฃ ู…ู†ู‡ ุงู„ุฃูˆู„ ูˆ ุงู„ุฎุทุฃ ู…ู†
1008
+
1009
+ 253
1010
+ 00:19:53,830 --> 00:19:54,750
1011
+ ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ
1012
+
1013
+ 254
1014
+ 00:20:14,190 --> 00:20:17,270
1015
+ ุงู„ู€ type 1 ูˆ ุงู„ู€ type 2 ู„ุง ูŠู…ูƒู† ุฃู† ูŠุญุฏุซูˆุง ููŠ ู†ูุณ
1016
+
1017
+ 255
1018
+ 00:20:17,270 --> 00:20:21,250
1019
+ ุงู„ูˆู‚ุช ุงู„ุงุชู†ูŠู† ู„ุง ูŠุญุฏุซูˆุง ู…ุน ุจุนุถ ุงู„ุณุจุจ ู„ูˆ ุทู„ุนุช ุนู„ู‰
1020
+
1021
+ 256
1022
+ 00:20:21,250 --> 00:20:26,390
1023
+ ุงู„ู€ definitions ุงู„ู€ type 1 error ู„ุง ุชู†ุฌุญ ููŠ ุงู„ู€
1024
+
1025
+ 257
1026
+ 00:20:26,390 --> 00:20:30,770
1027
+ zero ูˆ ุงู„ู€ true ุงู„ู€ type 2 error ุฅุฐุง ู‡ูŠ ุงู„ู€ type 1
1028
+
1029
+ 258
1030
+ 00:20:30,770 --> 00:20:35,150
1031
+ ุชู†ุฌุญ ููŠ ุงู„ู€ zero ูˆ ุงู„ู€ true ุงู„ู€
1032
+
1033
+ 259
1034
+ 00:20:35,150 --> 00:20:39,450
1035
+ type 2 ุนูƒุณู‡ ู„ุญุธุฉ ุจู†ุญูƒูŠ ุชู†ุฌุญ ููŠ ุงู„ู€ zero ูˆ ุงู„ู€ true
1036
+
1037
+ 260
1038
+ 00:20:39,450 --> 00:20:43,580
1039
+ ุงู„ุชุงู†ูŠ ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸdon't reject a zero when it is
1040
+
1041
+ 261
1042
+ 00:20:43,580 --> 00:20:47,360
1043
+ false ุฅุฐุง ู‡ุฐูˆู„ ุงุชู†ูŠู† ู…ุงูŠุญุฏุซูˆุด ู…ุน ุจุนุถ ุฅุฐุง type one
1044
+
1045
+ 262
1046
+ 00:20:47,360 --> 00:20:53,820
1047
+ and type two errors ู†ุนู… ู…ุด ุตุญูŠุญ ูŠุนู†ูŠ ู…ู…ูƒู†ุด ุฃุฑูุถ ูˆ
1048
+
1049
+ 263
1050
+ 00:20:53,820 --> 00:20:59,180
1051
+ ุฃู‚ุจู„ ููŠ ู†ูุณ ุงู„ู„ุญุธุฉ ู…ุธุจูˆุท
1052
+
1053
+ 264
1054
+ 00:20:59,180 --> 00:21:02,420
1055
+ ู‡ูŠูƒ ุฅุฐุง type one and type two errors cannot happen
1056
+
1057
+ 265
1058
+ 00:21:02,420 --> 00:21:08,090
1059
+ at the same timeุงู„ุณุจุจ ุฒูŠ ุฒู…ูŠู„ุชูƒ ุจุญูƒุช type 1 error
1060
+
1061
+ 266
1062
+ 00:21:08,090 --> 00:21:12,930
1063
+ can only occur if its 0 is true ู…ุธุจูˆุท type 1
1064
+
1065
+ 267
1066
+ 00:21:12,930 --> 00:21:17,950
1067
+ rejects 0 when it is true type 2 can only occur if
1068
+
1069
+ 268
1070
+ 00:21:17,950 --> 00:21:21,930
1071
+ its 0 is false ุงู„ู„ูŠ ู‡ูŠ we don't reject its 0 when
1072
+
1073
+ 269
1074
+ 00:21:21,930 --> 00:21:26,050
1075
+ it is false for this reason type 1 and 2 error
1076
+
1077
+ 270
1078
+ 00:21:26,050 --> 00:21:31,750
1079
+ cannot happen at the same time ู„ุฃู† ููŠ ูˆุงุญุฏุจูŠุญุฏุซ
1080
+
1081
+ 271
1082
+ 00:21:31,750 --> 00:21:35,670
1083
+ ู„ู…ุง H0 ุชูƒูˆู† ุตุญูŠุญุฉ ูˆ ุชุงู†ูŠ ุจูŠุญุฏุซ ุฅุฐุง ูƒุงู†ุช ุงู„ู€0 ุฎุงุทุฆุฉ
1084
+
1085
+ 272
1086
+ 00:21:35,670 --> 00:21:39,790
1087
+ ูˆุจุงู„ุชุงู„ูŠ ุญุฏูˆุซู‡ู… ู…ุน ุจุนุถ ุจูŠูƒูˆู† conflict of interest
1088
+
1089
+ 273
1090
+ 00:21:39,790 --> 00:21:43,190
1091
+ ู…ูˆุฌูˆุด ู…ุน ุจุนุถ ูุจุงู„ุชุงู„ูŠ ู…ุด ู…ู…ูƒู† ูŠุญุฏุซ ุงู† ุงู„ type I ุฃูˆ
1092
+
1093
+ 274
1094
+ 00:21:43,190 --> 00:21:45,470
1095
+ ุงู„ type II error happened at the same time
1096
+
1097
+ 275
1098
+ 00:21:45,470 --> 00:21:49,990
1099
+ furthermore if type I error probability ฮฑ
1100
+
1101
+ 276
1102
+ 00:21:49,990 --> 00:21:53,950
1103
+ increases ุฅุฐุง Alpha ุฒุงุฏุช ุงู„ type II error
1104
+
1105
+ 277
1106
+ 00:21:53,950 --> 00:21:59,150
1107
+ probability decreases ูŠุนู†ูŠ ุฅุฐุง type I error ุฒุงุฏุงู„ู€
1108
+
1109
+ 278
1110
+ 00:21:59,150 --> 00:22:03,630
1111
+ 1-L ุงู„ู€ Beta ู†ูุณู‡ุง ู…ุงู„ู‡ุง ุจุชู‚ู„ ูŠุนู†ูŠ ููŠ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ
1112
+
1113
+ 279
1114
+ 00:22:03,630 --> 00:22:06,230
1115
+ ู…ุง ุจูŠู† ุงู„ุฃุชู†ูŠู† ุฅุฐุงู‹ there is inverse relationship
1116
+
1117
+ 280
1118
+ 00:22:06,230 --> 00:22:08,810
1119
+ between type 1 and type 2 here ุฅุฐุงู‹ if Alpha
1120
+
1121
+ 281
1122
+ 00:22:08,810 --> 00:22:13,770
1123
+ increases Beta ู…ุงู„ู‡ุง decreases ุทุจ ุฃุญูƒูŠ Alpha
1124
+
1125
+ 282
1126
+ 00:22:13,770 --> 00:22:23,370
1127
+ ุจุงู„ุฒูŠุฏ ุงู„ Beta ู…ุงู„ู‡ุง ุจุชู‚ู„ ุทุจ ุงู„ 1-Beta ู„ู…ุง ุจุญูƒูŠ
1128
+
1129
+ 283
1130
+ 00:22:23,370 --> 00:22:32,020
1131
+ Beta ู†ู‚ุตุชุงู„ูˆุงุญุฏ ู†ู‚ุต ุจูŠุชุง ู…ุงู„ู‡ ุจุฒูŠุฏ ุทุจุนุง ู…ุด ุนู†ุฏูƒ
1132
+
1133
+ 284
1134
+ 00:22:32,020 --> 00:22:35,140
1135
+ ูˆุงุญุฏ ู†ู‚ุต ุจูŠุชุง ูŠุนู†ูŠ ุชุฎูŠู„ูŠ ุจูŠุชุง ุจุชุณุงูˆูŠ ุงุชู†ูŠู† ู…ู†
1136
+
1137
+ 285
1138
+ 00:22:35,140 --> 00:22:40,600
1139
+ ุงู„ู…ูŠุฉ ุงูŠุด ูˆุงุญุฏ ู†ู‚ุต ุจูŠุชุง ุงูŠ ุจูŠุชุง one minus ุจูŠุชุง ู„ูˆ
1140
+
1141
+ 286
1142
+ 00:22:40,600 --> 00:22:46,540
1143
+ ู‡ุงุฏ ุจุงุชู†ูŠู† ุงูŠุด ู‡ุชูƒูˆู† ู„ูˆ ู‡ุงุฏ ุจุชู„ุงุชุฉ ู„ูˆ ู‡ุงุฏ ุจู‚ู‰
1144
+
1145
+ 287
1146
+ 00:22:46,540 --> 00:22:52,310
1147
+ ุงุฑุจุนุฉ ู…ุงุนูƒุฏุงูƒ๏ฟฝ๏ฟฝ beta ู…ุง ุจูŠุฒูŠุฏ ุงู„ one minus beta
1148
+
1149
+ 288
1150
+ 00:22:52,310 --> 00:22:56,450
1151
+ ู…ุงู„ู‡ ุจูŠู‚ู„ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ุจูŠู†ู‡ู… ูุงู„ beta ุงู„ู„ูŠ ู…ุงุจุชู‚ู„
1152
+
1153
+ 289
1154
+ 00:22:56,450 --> 00:23:00,930
1155
+ ุงู„ one minus beta ู…ุงู„ู‡ุง ุจูŠุฒูŠุฏ ุงุฐุง alpha ุจูŠุฒูŠุฏ ูˆ
1156
+
1157
+ 290
1158
+ 00:23:00,930 --> 00:23:07,930
1159
+ beta ู…ุงู„ู‡ุง ุจูŠู‚ู„ ู‡ุฐุง ูˆุงุญุฏ all else equal beta
1160
+
1161
+ 291
1162
+ 00:23:07,930 --> 00:23:12,930
1163
+ decreases ูˆูƒุชุด ุงู„ beta ุจูŠุฒูŠุฏ ุงูŠุด ุงู„ beta ุงู„ู„ูŠ ู‡ูŠ
1164
+
1165
+ 292
1166
+ 00:23:12,930 --> 00:23:18,070
1167
+ don't reject zero when .. ุฎู„ูŠู†ูŠ ุงูƒุชุจ ุจุชุงุนุฉ ู‡ูŠ ุงู„
1168
+
1169
+ 293
1170
+ 00:23:18,070 --> 00:23:29,870
1171
+ betafail or failure to reject its zero when it is
1172
+
1173
+ 294
1174
+ 00:23:29,870 --> 00:23:34,650
1175
+ false failure to reject when it is false ุจุญูƒูŠ beta
1176
+
1177
+ 295
1178
+ 00:23:34,650 --> 00:23:40,390
1179
+ increases ูŠุนู†ูŠ ุนุฏู… ุฑูุถุฉ ุงู„ูุฑุฏูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆ ู‡ูŠ ุบู„ุท
1180
+
1181
+ 296
1182
+ 00:23:41,780 --> 00:23:46,540
1183
+ ู‡ุฐุง ุจุฒูŠุฏ ุงุญุชู…ุงู„ ุนุฏู… ุฑูุถูƒ ู„ุดูŠุก ุฎุงุทุฆ ุจุฒูŠุฏ ู‡ุฐุง ุจุญุฏุซ
1184
+
1185
+ 297
1186
+ 00:23:46,540 --> 00:23:49,540
1187
+ ููŠุงู† when the difference between the hypothesized
1188
+
1189
+ 298
1190
+ 00:23:49,540 --> 00:23:53,880
1191
+ parameter and true parameter decreases ู„ู…ุง ูŠูƒูˆู†
1192
+
1193
+ 299
1194
+ 00:23:53,880 --> 00:23:59,560
1195
+ ุงู„ูุฑู‚ ู…ุง ุจูŠู† beta ุจุฒูŠุฏ ุงู„ุฎุทุฃ ู‡ุฐุง ุจุฒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุฑูุถูƒ
1196
+
1197
+ 300
1198
+ 00:23:59,560 --> 00:24:02,620
1199
+ ุนุฏู… ุฑูุถูƒ ุงู„ูุฑุงุฏูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ ููŠ ุงู„ูˆุงู‚ุน ุฎุงุทุฆุฉ ู‡ุฐุง
1200
+
1201
+ 301
1202
+ 00:24:02,620 --> 00:24:05,800
1203
+ ุจุฒูŠุฏ ู„ู…ุง ุงู„ูุฑู‚ between ุงู„ hypothesized parameter
1204
+
1205
+ 302
1206
+ 00:24:05,800 --> 00:24:10,640
1207
+ and true value decreases ูŠุนู†ูŠ ูƒูŠู ุชุฐูƒุฑ ุญูƒูŠู†ุง mu
1208
+
1209
+ 303
1210
+ 00:24:10,640 --> 00:24:18,160
1211
+ equal to 30ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง 30 hypothes parameter ู‡ุฐู‡
1212
+
1213
+ 304
1214
+ 00:24:18,160 --> 00:24:23,420
1215
+ ู†ุณู…ูŠู‡ุง hypothes parameter
1216
+
1217
+ 305
1218
+ 00:24:23,420 --> 00:24:27,780
1219
+ ูˆุงู„ู€
1220
+
1221
+ 306
1222
+ 00:24:27,780 --> 00:24:35,060
1223
+ x bar equal for example is 26 ุจู†ุณู…ูŠู‡ุง ุงู„ true
1224
+
1225
+ 307
1226
+ 00:24:35,060 --> 00:24:37,080
1227
+ value ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ sample mean
1228
+
1229
+ 308
1230
+ 00:24:41,220 --> 00:24:42,920
1231
+ ู‡ูˆ ุจูŠุญูƒูŠ where is the difference between a
1232
+
1233
+ 309
1234
+ 00:24:42,920 --> 00:24:48,400
1235
+ hypothesized parameter ู‡ุฐุง ุฃู†ุง ุจูุชุฑุถู‡ุง ููŠ ุนู†ุฏูŠ ุงู„
1236
+
1237
+ 310
1238
+ 00:24:48,400 --> 00:24:53,420
1239
+ true parameter ู‡ุฐุง ุงู„ true parameter ู„ู…ุง
1240
+
1241
+ 311
1242
+ 00:24:53,420 --> 00:24:55,780
1243
+ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ุฉ ุงู„ hypothesized
1244
+
1245
+ 312
1246
+ 00:24:55,780 --> 00:24:59,020
1247
+ ุงู„ุชู„ุงุชูŠู† ูˆ ุงู„ true parameter decreases ุงู„ beta
1248
+
1249
+ 313
1250
+ 00:24:59,020 --> 00:25:03,340
1251
+ ู…ุงู„ู‡ุง ุจุชุฒูŠุฏ ุงุฐุง ูƒู„ ู…ุง ูƒุงู† ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ู‚ูŠู…ุฉ
1252
+
1253
+ 314
1254
+ 00:25:03,340 --> 00:25:07,400
1255
+ ุงู„ุงูุชุฑุงุถูŠุฉ ู‡ู†ุง ูˆ ุงู„ population ูŠุนู†ูŠ ู†ูุณ ุงู„ true
1256
+
1257
+ 315
1258
+ 00:25:07,400 --> 00:25:12,640
1259
+ parameter ูƒู„ ู…ุง ุฒุบุฑ ุงู„ beta ู…ุงู„ู‡ุง ุจุชุฒูŠุฏุงู„ุจุนุฏุฉ beta
1260
+
1261
+ 316
1262
+ 00:25:12,640 --> 00:25:16,280
1263
+ decreases ู…ู† alpha ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุดูˆูŠุฉ decrease ูŠุนู†ูŠ
1264
+
1265
+ 317
1266
+ 00:25:16,280 --> 00:25:19,920
1267
+ beta ุจุงู„ุฒูŠุฏ ู„ู…ุง ุงุชู†ูŠู† ุนูƒุณ ุจุนุถ alpha ุจุชู‚ู„ beta
1268
+
1269
+ 318
1270
+ 00:25:19,920 --> 00:25:23,520
1271
+ ุจุงู„ุฒูŠุฏ ู„ู…ุง ุณูŠุฌู…ุง ุจุงู„ุฒูŠุฏ ูŠุนู†ูŠ ูƒู„ ุงู„ุญุฑู ุงู„ู…ูŠุงุฑูŠ ู…ุฒุงุฏ
1272
+
1273
+ 319
1274
+ 00:25:23,520 --> 00:25:30,800
1275
+ beta ู…ุง ู„ู‡ุง ุจุชุฒูŠุฏ ุงู„ุฃุฎูŠุฑุฉ beta ุจุงู„ุฒูŠุฏ ู„ู…ุง n ู…ุง ู„ู‡ุง
1276
+
1277
+ 320
1278
+ 00:25:30,800 --> 00:25:35,720
1279
+ decreases ู…ุนู†ุงู‡ ูƒุฏู‡ ููŠ inverse relationship
1280
+
1281
+ 321
1282
+ 00:25:35,720 --> 00:25:36,820
1283
+ between beta ูˆู…ูŠู†
1284
+
1285
+ 322
1286
+ 00:25:40,350 --> 00:25:43,370
1287
+ ุงู„ุงุฎุชู„ุงู ุจูŠู† ุงู„ู€ hypothes and true value ุฏูŠ ูˆุงุญุฏ
1288
+
1289
+ 323
1290
+ 00:25:43,370 --> 00:25:48,670
1291
+ ูˆุด ุงู„ุชุงู†ูŠุฉุŸ Beta ูˆ Alpha ูˆ ุงู„ุชุงู„ุชุฉ Beta ูˆ ุฃู†ุง ู‡ุฐูˆู„
1292
+
1293
+ 324
1294
+ 00:25:48,670 --> 00:25:54,230
1295
+ ูƒู„ู‡ู… ุนู„ุงู‚ุฉ ู…ุงู„ู‡ุง ุนูƒุณูŠุฉ ุทุจ ู‡ุชุฑุถูŠู‡ุง ู…ุน ู…ูŠู†ุŸ ุจุณ ู…ุน
1296
+
1297
+ 325
1298
+ 00:25:54,230 --> 00:25:59,250
1299
+ Sigma ุฎู„ุงุตุŸ so there is direct relationship
1300
+
1301
+ 326
1302
+ 00:25:59,250 --> 00:26:06,010
1303
+ between Beta and Sigma Beta is .. ุฅูŠุด ุณู…ูŠู†ุง BetaุŸ
1304
+
1305
+ 327
1306
+ 00:26:16,370 --> 00:26:24,870
1307
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุงู† ูˆุงู„ุฃู„ู
1308
+
1309
+ 328
1310
+ 00:26:24,870 --> 00:26:34,830
1311
+ ู‡ูˆ ุงู„ู‡ูŠุจูˆุชุงูŠุฒ ุจุฑุงู…ุชู‡ุง ูˆู‚ูŠู…ุชู‡ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ุชุงู„ูŠุฉ
1312
+
1313
+ 329
1314
+ 00:26:34,830 --> 00:26:39,930
1315
+ ู‡ูŠ level of significance Alphaูˆุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ
1316
+
1317
+ 330
1318
+ 00:26:39,930 --> 00:26:45,570
1319
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฃูƒุฏ ู…ู† ุงู„ู‚ูŠู… ุงู„ูƒุฑูŠู…ุฉ ูˆูƒุฐู„ูƒ ู…ู†
1320
+
1321
+ 331
1322
+ 00:26:45,570 --> 00:26:47,670
1323
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ูƒุฑูŠู…ุฉ ุฏุนูˆู†ุง ู†ุฑู‰
1324
+
1325
+ 332
1326
+ 00:27:06,290 --> 00:27:12,550
1327
+ ุงู„ุงู† ุงุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ุงูƒูˆุงู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ
1328
+
1329
+ 333
1330
+ 00:27:12,550 --> 00:27:18,750
1331
+ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ
1332
+
1333
+ 334
1334
+ 00:27:18,750 --> 00:27:21,710
1335
+ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1336
+
1337
+ 335
1338
+ 00:27:21,710 --> 00:27:27,950
1339
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1340
+
1341
+ 336
1342
+ 00:27:27,950 --> 00:27:30,050
1343
+ ูŠู‚ู„ ๏ฟฝ๏ฟฝู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1344
+
1345
+ 337
1346
+ 00:27:30,050 --> 00:27:32,530
1347
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1348
+
1349
+ 338
1350
+ 00:27:32,530 --> 00:27:35,130
1351
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ู…ูŠูˆ ู„ุง
1352
+
1353
+ 339
1354
+ 00:27:38,150 --> 00:27:44,350
1355
+ ู‡ูŠุทู„ุน ุนู†ุฏู‰ two rejection regions ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ left
1356
+
1357
+ 340
1358
+ 00:27:44,350 --> 00:27:47,650
1359
+ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ right ู‡ุฐู‡ ุงู„ุฃุตูˆุงุช represent ู„
1360
+
1361
+ 341
1362
+ 00:27:47,650 --> 00:27:53,590
1363
+ critical values ุงุฐุง ุงู„ points ู‡ุฏูˆู„ critical values
1364
+
1365
+ 342
1366
+ 00:27:53,590 --> 00:27:58,150
1367
+ critical values
1368
+
1369
+ 343
1370
+ 00:27:58,150 --> 00:28:05,030
1371
+ ุฎู„ูŠู†ูŠ ุฃุณู…ูŠู‡ุง critical value
1372
+
1373
+ 344
1374
+ 00:28:06,740 --> 00:28:10,240
1375
+ ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ุง ู†ู‚ุทุฉ ุงู„ุญุฑุฌุฉ ูˆู‡ู†ุง ูƒู…ุงู† ููŠ ูˆุงุญุฏุฉ ูˆู‡ูŠ
1376
+
1377
+ 345
1378
+ 00:28:10,240 --> 00:28:15,260
1379
+ critical value ุชุงู†ูŠุฉ ุงุฐุง in case of two-tailed
1380
+
1381
+ 346
1382
+ 00:28:15,260 --> 00:28:24,780
1383
+ test ู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุญุฏุฉ two-tailed test ูŠุนู†ูŠ ุงุฎุชุจุงุฑ ู…ู†
1384
+
1385
+ 347
1386
+ 00:28:24,780 --> 00:28:32,980
1387
+ ุทุฑููŠู† ุงู„ู€ 30 against 30 is not 30 ุงุฎุชุจุงุฑ
1388
+
1389
+ 348
1390
+ 00:28:32,980 --> 00:28:33,560
1391
+ ู…ู† ุทุฑููŠู†
1392
+
1393
+ 349
1394
+ 00:28:36,150 --> 00:28:40,830
1395
+ ุงู„ู€ test ู…ุนู†ุงู‡ุง ุงุฎุชุจุงุฑ ุงู„ู€ two ู…ุนู†ุงู‡ุง ุงุชู†ูŠู† ุงูƒุชุฑ
1396
+
1397
+ 350
1398
+ 00:28:40,830 --> 00:28:46,370
1399
+ ู…ุนู†ุงู‡ุง ุทุฑู ุชุทู„ุน ุงุฎุชุจุงุฑ ู…ู† ุงู„ุทุฑููŠู† ู…ุธุจูˆุท ุงู„ mean
1400
+
1401
+ 351
1402
+ 00:28:46,370 --> 00:28:52,390
1403
+ ุทุจุนุง ุงู„ value in the center now
1404
+
1405
+ 352
1406
+ 00:28:52,390 --> 00:28:54,510
1407
+ the question is how can we determine these
1408
+
1409
+ 353
1410
+ 00:28:54,510 --> 00:28:58,110
1411
+ critical values one to the right and other to the
1412
+
1413
+ 354
1414
+ 00:28:58,110 --> 00:29:04,010
1415
+ left now we have level of significance alphaุงู„ูุง
1416
+
1417
+ 355
1418
+ 00:29:04,010 --> 00:29:07,970
1419
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ูŠ ู…ุตุทู„ุญุฉ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุนู†ุฏู…ุง ุชู†ุชู‚ู„ ุฅู„ู‰
1420
+
1421
+ 356
1422
+ 00:29:07,970 --> 00:29:11,550
1423
+ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„
1424
+
1425
+ 357
1426
+ 00:29:11,550 --> 00:29:12,130
1427
+ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„
1428
+
1429
+ 358
1430
+ 00:29:12,130 --> 00:29:14,750
1431
+ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰
1432
+
1433
+ 359
1434
+ 00:29:14,750 --> 00:29:19,150
1435
+ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„
1436
+
1437
+ 360
1438
+ 00:29:19,150 --> 00:29:25,030
1439
+ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุชู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„
1440
+
1441
+ 361
1442
+ 00:29:25,030 --> 00:29:28,170
1443
+ ุชู†ู‚ู„
1444
+
1445
+ 362
1446
+ 00:29:28,170 --> 00:29:28,170
1447
+ ุฅู„ู‰
1448
+
1449
+ 363
1450
+ 00:29:32,600 --> 00:29:39,560
1451
+ ุงู„ุจูŠุงู†ุฉ ู„ู† ุชูƒูˆู† 95% ู„ูƒูŠู† ู…ู…ูƒู† ุชุทู„ุน ุงู„ value ู‡ุฐุง ูˆ
1452
+
1453
+ 364
1454
+ 00:29:39,560 --> 00:29:47,540
1455
+ ุงู„ุชุงู†ูŠุฉ ุชุทู„ุน ุงู„ value ู‡ุฐุง ูˆ ุงู„ุชุงู†ูŠุฉ ุชุทู„ุน
1456
+
1457
+ 365
1458
+ 00:29:47,540 --> 00:29:51,300
1459
+ ุงู„ value ู‡ุฐุง ูˆ
1460
+
1461
+ 366
1462
+ 00:29:51,300 --> 00:30:00,620
1463
+ ุงู„ุชุงู†ูŠุฉ ุชุทู„ุน ุงู„
1464
+
1465
+ 367
1466
+ 00:30:01,540 --> 00:30:08,340
1467
+ ุงู„ู„ูŠ ุนู„ูŠ ูŠู…ูŠู†ู‡ุง 2.5% ูŠุนู†ูŠ ุนู„ูŠ ุฃุณุงุฑู‡ุง ูƒุฏู‡ ุฅุฐุง ุนู„ูŠ
1468
+
1469
+ 368
1470
+ 00:30:08,340 --> 00:30:13,460
1471
+ ูŠู…ูŠู†ู‡ุง 2.5% ุฅูŠุด ุจูŠูƒูˆู† ุนู„ูŠ ุงู„ุดู…ุงู„ 97.5% ุฃูˆ ุฃุทู„ุน
1472
+
1473
+ 369
1474
+ 00:30:13,460 --> 00:30:16,420
1475
+ ุงู„ูƒุชุงุจุฉ ุงู„ value ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ุนู„ูŠ ุฃุณุงุฑู‡ุง 2.5%
1476
+
1477
+ 370
1478
+ 00:30:16,420 --> 00:30:20,780
1479
+ ุทุจุนุง ู„ุณู‡ ู‡ุทู„ุน ุญุงุฏุฉ ู…ุจุงุดุฑุฉ ู…ู† ุงู„ุฌุฏูˆู„ ู…ุธุจูˆุท ุทู„ุน
1480
+
1481
+ 371
1482
+ 00:30:20,780 --> 00:30:24,540
1483
+ ุงู„ุฌุฏูˆู„ ุนู„ู‰ 2.5% 0.25 ุฅูŠุด ุงู„ู‚ูŠู…ุฉ ุจุชุณุงูˆูŠ
1484
+
1485
+ 372
1486
+ 00:30:35,840 --> 00:30:41,680
1487
+ ุจุทู„ุน ุนู„ู‰ ุงู„ table ุนู„ู‰ IZ
1488
+
1489
+ 373
1490
+ 00:30:41,680 --> 00:30:52,260
1491
+ table ุงู†ุง ุจุฏูˆุฑ ุนู„ู‰ 025 ุจุทู„ุน
1492
+
1493
+ 374
1494
+ 00:30:52,260 --> 00:30:57,960
1495
+ in the body of the table ุนู„ู‰ 025 ูˆูŠู† ู…ูˆุฌูˆุฏุฉุŸ
1496
+
1497
+ 375
1498
+ 00:31:00,870 --> 00:31:06,170
1499
+ ู…ุด ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุฅุฐุง
1500
+
1501
+ 376
1502
+ 00:31:06,170 --> 00:31:12,090
1503
+ ุณุงู„ุจ one point nine under six ุฅุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ู†ุง
1504
+
1505
+ 377
1506
+ 00:31:12,090 --> 00:31:19,110
1507
+ ุณุงู„ุจ ู‡ูŠ negative one point nine six ู…ุธุจูˆุท ุฅุฐุง ู‡ูŠ
1508
+
1509
+ 378
1510
+ 00:31:19,110 --> 00:31:24,050
1511
+ ุงู„ table ู…ุฏูˆุฑุฉ zero to five ูˆุงุถุญ ุฅู† ุชุญุช ุณุงู„ุจ one
1512
+
1513
+ 379
1514
+ 00:31:24,050 --> 00:31:31,330
1515
+ nine under six ุงู„ู…ูุฑูˆุถ ุงู„ุชุงู†ูŠุฉู„ุฃู† ุนูŠู…ูŠู†ู‡ุง 0.25 ูˆ
1516
+
1517
+ 380
1518
+ 00:31:31,330 --> 00:31:35,630
1519
+ ุฏุง ุนูŠุณุงุฑู‡ุง 0.25 the same value ุจุณ ุจุฅุดุงุฑุฉ ู…ุฎุชู„ูุฉ
1520
+
1521
+ 381
1522
+ 00:31:35,630 --> 00:31:41,030
1523
+ ู‡ุฐุง negative 196 ุฅุฐุง ุฃู†ุง should be positive ู‡ุฏูˆู„
1524
+
1525
+ 382
1526
+ 00:31:41,030 --> 00:31:45,170
1527
+ ุจุชุณู…ูŠู‡ู… critical values ู„ุฐุง ุงู„ critical values
1528
+
1529
+ 383
1530
+ 00:31:45,170 --> 00:31:48,450
1531
+ ุจุชุทู„ุน ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ z table ูˆ ุงู„ z table ุฃุฎุฏู†ุง
1532
+
1533
+ 384
1534
+ 00:31:48,450 --> 00:31:55,310
1535
+ ูˆูŠู†ุŸ ุดุฑุทุฑ 6 ูˆ ุจุนุฏ ูƒุฏู‡ ุดุฑุทุฑ 6 ู…ู‡ู… ููŠ ุดุฑุทุฑ 9 ู…ุธุจูˆุทุŸ
1536
+
1537
+ 385
1538
+ 00:31:55,310 --> 00:32:01,460
1539
+ ููŠ ุฃูŠ ุณุคุงู„ุŸุฅูŠุด ู„ุนุจู‡ุง ูƒุฏู‡ ุฃูู‡ู… ู…ุง ู…ุนู†ุงู‡ุงุŸ ู…ุงููŠุด
1540
+
1541
+ 386
1542
+ 00:32:01,460 --> 00:32:06,140
1543
+ ุณุคุงู„ ุทุจ ุงู„ุญู…ุฏ ู„ู„ู‡ ู‡ุฐุง ูุถู„ ู…ู† ุฑุจู†ุง ุฃู†ุง ู…ุด ูุงู‡ู… ู‡ูˆ
1544
+
1545
+ 387
1546
+ 00:32:06,140 --> 00:32:11,380
1547
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฅูŠู‡ ุงู„ู„ูŠ ู…ุนู†ูŠู† ู‡ู… ุฃู†ุง ู…ุด ูุงู‡ู… ุฃูˆ ู…ุงุดูŠ
1548
+
1549
+ 388
1550
+ 00:32:11,380 --> 00:32:17,580
1551
+ ุนู„ูŠู‡ ุจุนุฏู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ ู‡ุฐุง two-tailed ุงู„ู„ูŠ
1552
+
1553
+ 389
1554
+ 00:32:17,580 --> 00:32:20,660
1555
+ ู‚ุงู„ ุงู„ูƒุชุงุจ ูˆุงุฌู ู„ุบุงูŠุฉ ู‡ู†ุง ูˆ ุจุนุฏูŠู† ู…ุงุนุทูŠ example
1556
+
1557
+ 390
1558
+ 00:32:20,660 --> 00:32:28,580
1559
+ ุฃู†ุง ู…ุด ู‡ุนู…ู„ ุฒูŠู‡ ุฃู†ุง ู‡ูƒู…ู„ ู‡ุนุทูŠูƒูŠ one-tailedright ุงูˆ
1560
+
1561
+ 391
1562
+ 00:32:28,580 --> 00:32:34,500
1563
+ left ุงุฐุง
1564
+
1565
+ 392
1566
+ 00:32:34,500 --> 00:32:38,560
1567
+ ุฑู‚ู…
1568
+
1569
+ 393
1570
+ 00:32:38,560 --> 00:32:49,260
1571
+ ุงุชู†ูŠู† ู‡ุงุฎุฏ upper tail ุงูŠุด upper tail ุงู„ุทุฑู
1572
+
1573
+ 394
1574
+ 00:32:49,260 --> 00:32:53,420
1575
+ ุงู„ุงุนู„ู‰ ู‡ุฐุง ุงู„ lower tail ู„ุญุธุฉ ู…ูŠูˆ ุฏูˆุณุช ู†ูˆุช ุงูŠูƒูˆู„
1576
+
1577
+ 395
1578
+ 00:32:53,420 --> 00:32:58,040
1579
+ ุชูŠุฑุชูŠู‡ ููŠ ุงู„ upper tail ุงูŠุด ู‡ูŠูƒูˆู† ู‡ูŠูƒูˆู† ู‡ูŠูƒู…ูŠูˆ
1580
+
1581
+ 396
1582
+ 00:32:58,040 --> 00:33:07,420
1583
+ ุงูƒูˆุงู„ ุชุฑุชู‚ ูˆ ุงู„ H1 ุชูƒูˆู† ุงูƒุจุฑ ูŠุนู†ูŠ ุงูŠุด ุงูƒุจุฑ ู…ุนู†ุงู‡
1584
+
1585
+ 397
1586
+ 00:33:07,420 --> 00:33:10,660
1587
+ ูƒุฏู‡ ุงู„ rejection region ู‡ุชูƒูˆู† ูˆุงุญุฏุฉ ูˆู„ุง ุงุชู†ุชูŠู†
1588
+
1589
+ 398
1590
+ 00:33:10,660 --> 00:33:12,800
1591
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1592
+
1593
+ 399
1594
+ 00:33:12,800 --> 00:33:13,180
1595
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1596
+
1597
+ 400
1598
+ 00:33:13,180 --> 00:33:13,220
1599
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1600
+
1601
+ 401
1602
+ 00:33:13,220 --> 00:33:13,320
1603
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1604
+
1605
+ 402
1606
+ 00:33:13,320 --> 00:33:17,160
1607
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1608
+
1609
+ 403
1610
+ 00:33:17,160 --> 00:33:20,520
1611
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1612
+
1613
+ 404
1614
+ 00:33:20,520 --> 00:33:20,520
1615
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1616
+
1617
+ 405
1618
+ 00:33:20,520 --> 00:33:23,940
1619
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1620
+
1621
+ 406
1622
+ 00:33:26,390 --> 00:33:29,170
1623
+ ุฎู„ู‘ูˆุง ูŠุงูƒ ุงู†ุง ุจุญูƒูŠ level of significance alpha
1624
+
1625
+ 407
1626
+ 00:33:29,170 --> 00:33:35,790
1627
+ ู‡ุชูƒูˆู† ุนู†ุฏ 5% ู…ุด ูƒุฏู‡ุŸ ู„ูˆ ู†ูุชุฑุถ alpha ุจ 5 ุทูŠุจ ุงู„ู†ู‚ุทุฉ
1628
+
1629
+ 408
1630
+ 00:33:35,790 --> 00:33:39,790
1631
+ ุฏูŠ ุญุณุงูˆูŠุฉุŒ ุญุณุงูˆูŠุฉ Z ุนู†ุฏ 5% ูŠุนู†ูŠ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ุนู„ู‰
1632
+
1633
+ 409
1634
+ 00:33:39,790 --> 00:33:43,570
1635
+ ูŠู…ูŠู†ู‡ุง 5% ุงู„ table ุจูŠุนุทูŠุด ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ุจูŠุนุทูŠ ูˆูŠู†ุŸ
1636
+
1637
+ 410
1638
+ 00:33:43,570 --> 00:33:50,210
1639
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ ุจุตูŠุฑ 95 ู…ุด ู‡ูŠูƒุŸ ุฏู‡ ุฏูˆุฑ ู‡ุฐุง ุนู„ู‰ 95
1640
+
1641
+ 411
1642
+ 00:33:50,210 --> 00:33:53,960
1643
+ ุฅุฐุง ู„ุงุญุธ ุฃู† ุฃู†ุง ุจุฑุถู‡ ุฑุฌุนุช ุนู„ู‰ ุฌุฏูˆู„ุงู„ู„ูŠ ุงุชุนู„ู…ู†ุง
1644
+
1645
+ 412
1646
+ 00:33:53,960 --> 00:33:58,780
1647
+ ุนู„ูŠู‡ ู‚ุจู„ ู‡ูŠูƒ 95 ููŠ ุงู„ positive z score ุฃูƒูŠุฏ ู…ุด ู‡ูŠูƒ
1648
+
1649
+ 413
1650
+ 00:33:58,780 --> 00:34:05,380
1651
+ ุงู„ positive 95 ูˆูŠู† ู…ูˆุฌูˆุฏุฉ ุชุชุฐูƒุฑูˆุง ุนู…ู„ู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒ
1652
+
1653
+ 414
1654
+ 00:34:05,380 --> 00:34:11,100
1655
+ ุนู…ู„ู†ุงู‡ุง average ุญูƒูŠู†ุง
1656
+
1657
+ 415
1658
+ 00:34:11,100 --> 00:34:20,140
1659
+ ููŠ ูˆุงุญุฏุฉ 945 ูˆุงุญุฏุฉ 9505 ุญูƒูŠู†ุง ุงู„ุฌูˆุงุจ 1.6 under 4
1660
+
1661
+ 416
1662
+ 00:34:20,140 --> 00:34:29,070
1663
+ ุงูˆ 1.6 under 5ุงูˆ ุงู„ average ู…ู…ุชุงุฒ 1645 ุงุฐุง 1.645
1664
+
1665
+ 417
1666
+ 00:34:29,070 --> 00:34:37,610
1667
+ ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ critical value ู…ุธุจูˆุท ู†ุณูŠุชู‡ ูู‰ ูƒูˆูŠุณ
1668
+
1669
+ 418
1670
+ 00:34:37,610 --> 00:34:42,550
1671
+ ู†ุณูˆูŠ ุนู„ู‰ ุงู„ุฌู‡ุฉ ู‡ู‰ ุฑูƒุฒู‰ ู…ุนุงู‰ ุงู†ุง ุจุฏูˆุฑ ุนุงู„ู…ูŠุง ุนู„ู‰ 95
1672
+
1673
+ 419
1674
+ 00:34:42,550 --> 00:34:49,350
1675
+ 95 ุจุงู„ุธุจุท ู…ุด ู…ูˆุฌูˆุฏุฉ ู…ุด ู…ูˆุฌูˆุฏ ู…ูˆุฌูˆุฏ ู‚ูŠู…ุชูŠู† ุฒูŠ ู‡ูŠูƒ
1676
+
1677
+ 420
1678
+ 00:34:49,350 --> 00:34:50,270
1679
+ ูˆุงุญุฏุฉ
1680
+
1681
+ 421
1682
+ 00:34:52,570 --> 00:34:58,590
1683
+ 9495 ูŠุนู†ูŠ ุจุชุฎู„ 5 ู…ู† 10 ุฃู„ู ุนู†ู‡ุง ูˆ ู‡ุฐุง ุชุญุช ู…ู† 1.6
1684
+
1685
+ 422
1686
+ 00:34:58,590 --> 00:35:06,090
1687
+ ุชุญุช ุงู„ 4 ูŠุนู†ูŠ ุงู„ุฌูˆุงุจ ู…ู…ูƒู† ูŠูƒูˆู† 1.64 ุงูˆ ู„ูˆ ุฃุฎุฏุช
1688
+
1689
+ 423
1690
+ 00:35:06,090 --> 00:35:15,970
1691
+ ุงู„ุจุงุนุฏุฉ ุงู„ุจุงุนุฏุฉ ุงู„ู„ูŠ ู‡ูŠ 9505 ุชุญุช
1692
+
1693
+ 424
1694
+ 00:35:15,970 --> 00:35:18,610
1695
+ ุงู„ 5 ู…ู† 100 ูุงู„ุฌูˆุงุจ ู…ู…ูƒู† ูŠูƒูˆู† 1.65
1696
+
1697
+ 425
1698
+ 00:35:21,850 --> 00:35:27,170
1699
+ ุงู„ุฃูุถู„ ุงู„ู€ value in the middle because 95%
1700
+
1701
+ 426
1702
+ 00:35:27,170 --> 00:35:31,010
1703
+ actually locates between these two values ู…ูˆุฌูˆุฏุฉ
1704
+
1705
+ 427
1706
+ 00:35:31,010 --> 00:35:33,650
1707
+ ุจูŠู†ู‡ู… ูุจุชุงุฎุฏ ุงู„ average ู„ูˆ ุฎุฏู†ุง ุงู„ average
1708
+
1709
+ 428
1710
+ 00:35:33,650 --> 00:35:38,670
1711
+ ุงู„ุฃุฑู‚ุงู…ุชูŠู† ู‡ุฐูˆู„ ุฌู…ุนูŠู† ูˆ ุฌุณู…ูŠู† ุนู„ู‰ ุงุชู†ูŠู† ุจุทู„ุน 1.645
1712
+
1713
+ 429
1714
+ 00:35:38,670 --> 00:35:46,150
1715
+ it make sense ู†ุนู… ูˆุงุถุญุฉ ุทูŠุจ ู‡ุฐุง ู„ูˆ ูƒุงู† upper tail
1716
+
1717
+ 430
1718
+ 00:35:46,150 --> 00:35:48,630
1719
+ ุงูŠุด ุจุชุงู… ุนู†ุฏู‡ lower tail
1720
+
1721
+ 431
1722
+ 00:35:51,780 --> 00:35:57,960
1723
+ Lower tail test ุงู„ู„ูŠ ู‡ูˆ lower tail ุฅูŠุด ู‡ูŠูƒูˆู† ู…ูŠูˆ
1724
+
1725
+ 432
1726
+ 00:35:57,960 --> 00:36:03,220
1727
+ equal ุชุงุฑุชุฉ ูˆุงู„ H1 ู…ูŠูˆ ุฃู‚ู„ ูˆ ุงู„ rejection region
1728
+
1729
+ 433
1730
+ 00:36:03,220 --> 00:36:08,000
1731
+ ูˆูŠู†ุŸ ุนู„ู‰
1732
+
1733
+ 434
1734
+ 00:36:08,000 --> 00:36:16,060
1735
+ ุงู„ุดู…ุง๏ฟฝ๏ฟฝ ุนุงุฏ Z05 ู…ุด ู‡ูŠูƒ ู„ุบุงูŠุฉ 5% ุทุจ ุฅูŠุด ุญุชุณุงูˆูŠ
1736
+
1737
+ 435
1738
+ 00:36:16,060 --> 00:36:21,370
1739
+ ู…ุจุงุดุฑุฉ ู…ู† ุบูŠุฑ ุชุงุจุนุฅุฐุง ุงู„ู„ูŠ ุนู„ู‰ ูŠู…ูŠู†ู‡ุง 19645 ุทุจ
1740
+
1741
+ 436
1742
+ 00:36:21,370 --> 00:36:25,010
1743
+ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ู‡ุชูƒูˆู† ุจุงู„ negative ู…ุธุจูˆุท ุทุจ ุจู†ูุณ
1744
+
1745
+ 437
1746
+ 00:36:25,010 --> 00:36:29,050
1747
+ ุงู„ุทุฑูŠู‚ุฉ ู„ูˆ ู…ุงุนุฌุจูƒูŠุด ุชุนู…ู„ ู‡ูŠูƒ ุงุฑูˆุญ ุนู„ู‰ ุงู„ .. ุทุจุนุง
1748
+
1749
+ 438
1750
+ 00:36:29,050 --> 00:36:32,230
1751
+ ุจุฏูˆุฑ ุนู„ู‰ ุงู„ 025 ุฃูƒูŠุฏ ููŠ ุงู„ negative ุฏูŠ ุงู„ score ู…ุด
1752
+
1753
+ 439
1754
+ 00:36:32,230 --> 00:36:41,810
1755
+ ู‡ูŠูƒ ูู„ูˆ ุฌุฏ ุทู„ุนุช ุนู„ู‰ ุงู„ 05 ุงู„
1756
+
1757
+ 440
1758
+ 00:36:41,810 --> 00:36:46,500
1759
+ 05 ู‡ูŠ ูˆุงุญุฏุฉ ู‡ู†ุง ูˆู‡ูŠ ุงู„ุชุงู†ูŠุฉุจุณ ูˆุงุญุฏุฉ zero five zero
1760
+
1761
+ 441
1762
+ 00:36:46,500 --> 00:36:50,640
1763
+ five ูŠุนู†ูŠ ู…ุฒูŠุฏ ุฎู…ุณุฉ ูˆุงู„ุชุงู†ูŠุฉ four zero four nine
1764
+
1765
+ 442
1766
+ 00:36:50,640 --> 00:36:53,980
1767
+ five ุชู‚ู„ ุฎู…ุณุฉ ููŠ ุงู„ average ุจูŠู† ุงู„ุงุชู†ูŠู† ุจุชุงุน ู†ูุณ
1768
+
1769
+ 443
1770
+ 00:36:53,980 --> 00:36:57,440
1771
+ ุงู„ู‚ุตุฉ negative one is point six four five ุฅุฐุง ุงู„
1772
+
1773
+ 444
1774
+ 00:36:57,440 --> 00:37:02,000
1775
+ critical values can be determined for two tail
1776
+
1777
+ 445
1778
+ 00:37:02,000 --> 00:37:06,080
1779
+ test upper tail and lower tail it depends on the
1780
+
1781
+ 446
1782
+ 00:37:06,080 --> 00:37:10,060
1783
+ question ุจุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุณูˆุงุฏ ู„ุฅู† ุงู„ areas ู‡ุฏูˆู„ ุงู„ู„ูŠ
1784
+
1785
+ 447
1786
+ 00:37:10,060 --> 00:37:12,820
1787
+ ุฃู†ุง ู…ุนู„ู‚ ุนู„ูŠู‡ู… ุจุงู„ุฃุณูˆุงุฏ ู‡ุฏูˆู„ ุจู†ุณู…ูŠู‡ู…
1788
+
1789
+ 448
1790
+ 00:37:16,220 --> 00:37:19,440
1791
+ rejection region ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉ ุฅูŠุด ุจูŠู‚ุตุฏ
1792
+
1793
+ 449
1794
+ 00:37:19,440 --> 00:37:23,580
1795
+ rejection region ุฅุฐุง ู‡ู†ุง ููŠ ุงู„ two-thirds ูƒุงู…
1796
+
1797
+ 450
1798
+ 00:37:23,580 --> 00:37:28,420
1799
+ rejection region ู…ูˆุฌูˆุฏ ุชู†ุชูŠู† ูˆุงุญุฏุฉ ุฃูƒุจุฑ ู…ู† 9196
1800
+
1801
+ 451
1802
+ 00:37:28,420 --> 00:37:32,350
1803
+ ูˆุงุญุฏุฉ ุฃู‚ู„ ู…ู† negativeูˆ ููŠ ุงู„ upper tail ูู‰ one
1804
+
1805
+ 452
1806
+ 00:37:32,350 --> 00:37:37,010
1807
+ rejection region ุงู„ู„ู‰ ุฃูƒุจุฑ ู…ู† 1.645 ูู‰ ุงู„ lower ูู‰
1808
+
1809
+ 453
1810
+ 00:37:37,010 --> 00:37:41,930
1811
+ ูˆุงุญุฏุฉ ุงู„ู„ู‰ ุฃู‚ู„ ู…ู† minus 1.645 ู‡ุฐุง ูƒู„ุงู… ุตุญูŠุญ ู„ูˆ
1812
+
1813
+ 454
1814
+ 00:37:41,930 --> 00:37:45,950
1815
+ ูƒุงู†ุช Alpha ุดูˆ ุจุชุณุงูˆูŠ ุฎู…ุณุฉ ุงุญู†ุง ุบุงู„ุจุง ุจุงุฎุฏ ุฎู…ุณุฉ
1816
+
1817
+ 455
1818
+ 00:37:45,950 --> 00:37:50,170
1819
+ ุบุงู„ุจุง ู„ูƒู† ุงุญูŠุงู†ุง ู„ูˆ ุฎุฏู†ุง ุบูŠุฑ ูƒุฏู‡ ุจุณุชุฎุฏู… ุงู„ุฌุฏูˆู„
1820
+
1821
+ 456
1822
+ 00:37:50,170 --> 00:37:55,130
1823
+ ูุงู†ุช ุญุงูุธูŠู‡ุง ุงุฐุง Alpha 5% ู…ู† ุบูŠุฑ ู…ุง ุงุณุชุฎุฏู… ุงู„
1824
+
1825
+ 457
1826
+ 00:37:55,130 --> 00:38:04,150
1827
+ table ุงุฐุง ูƒุงู† two-tailed 196negative ูˆ plus ุฅุฐุง
1828
+
1829
+ 458
1830
+ 00:38:04,150 --> 00:38:09,450
1831
+ ูƒุงู† upper tail ุจุชูƒูˆู† plus 1.645 ุฅุฐุง lower tail
1832
+
1833
+ 459
1834
+ 00:38:09,450 --> 00:38:13,150
1835
+ ุจุชูƒูˆู† negative 1.645 ุงุญูุธูŠู‡ุง ูˆ ุฎู„ุงุต ู…ู† ุบูŠุฑ ู…ุง
1836
+
1837
+ 460
1838
+ 00:38:13,150 --> 00:38:18,270
1839
+ ู†ุณุชุฎุฏู… ุงู„ table ุฅุฐุง ุจู†ุณุฃู„ ุงู„ 5% ู‡ุฏูˆู„ ู‡ุชู‚ุจู„ูŠู‡ู… ุฒูŠ
1840
+
1841
+ 461
1842
+ 00:38:18,270 --> 00:38:30,510
1843
+ ุงู„ empirical rule 68959917 questions ุฃูŠ ุณุคุงู„ุŸ ููŠ
1844
+
1845
+ 462
1846
+ 00:38:30,510 --> 00:38:38,920
1847
+ ุฃูŠ ุณุคุงู„ุŸุทูŠุจ ู†ูƒู…ู„ ุงู„ุงู† ู‡ู†ุจุฏุฃ ุฃูˆู„ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ ุชุฐูƒุฑ
1848
+
1849
+ 463
1850
+ 00:38:38,920 --> 00:38:42,600
1851
+ ุญูƒูŠู†ุง ููŠ ุงู„ objectives ู†ุฑุฌุน ุชุงู†ูŠ ุงู„ objectives
1852
+
1853
+ 464
1854
+ 00:38:42,600 --> 00:38:47,800
1855
+ ุณุงุนุฉ ู„ู„ chapter ุชุณุนุฉ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู„ูŠ ู‚ุงู„
1856
+
1857
+ 465
1858
+ 00:38:47,800 --> 00:38:51,540
1859
+ ุงู„ูุงุช ุญูƒูŠู†ุง ุฃูˆู„ ูˆุงุญุฏ the basic principles of
1860
+
1861
+ 466
1862
+ 00:38:51,540 --> 00:38:56,060
1863
+ hypothesis testingุงู„ู„ูŠ ุงุญู†ุง ุฎู„ุตู†ุงู‡ ู„ุงู† ูŠุนู†ูŠ ู„ุบุงูŠุฉ
1864
+
1865
+ 467
1866
+ 00:38:56,060 --> 00:38:59,300
1867
+ ุงู„ูŠูˆู… ุงู†ุง ุจุณู…ูŠู‡ basic principles ู…ุจุงุฏุฆ ุฃุณุงุณูŠุฉ
1868
+
1869
+ 468
1870
+ 00:38:59,300 --> 00:39:04,020
1871
+ ู„ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ ุงู„ุงู† ู‡ู†ุจุฏุฃ how to use hypothesis
1872
+
1873
+ 469
1874
+ 00:39:04,020 --> 00:39:10,240
1875
+ thing ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุง to test ุงู…ูŠู† ูˆุงุญุฏ ูˆ ุงู„ู„ู‚ุงุก
1876
+
1877
+ 470
1878
+ 00:39:10,240 --> 00:39:13,720
1879
+ ุงู„ุฌุงูŠ ุงู„ู„ูŠ ู‡ุญูƒูˆู† ูŠูˆู… ุงุฎุฑ ุจูƒุฑุง ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ or a
1880
+
1881
+ 471
1882
+ 00:39:13,720 --> 00:39:17,940
1883
+ proportion ูŠุนู†ูŠ ุงู„ู„ู‚ุงุก ู‡ุชูƒูˆู† ุฑุงุจุนุฉ ู…ุด ู‡ูŠ ูŠุนู†ูŠ ุงู†ู†ุง
1884
+
1885
+ 472
1886
+ 00:39:17,940 --> 00:39:22,140
1887
+ ุงู„ุฃุซู†ูŠู† ูˆ ุงู„ุฃุฑุจุนุฉ ุจู†ุฎู„ุต chapter ุชุณุนุฉ
1888
+
1889
+ 473
1890
+ 00:39:44,100 --> 00:39:49,460
1891
+ ุฅุฐุง ุงู„ุนู†ูˆุงู† ุชุจุนู†ุง ู„ุฌุฏูŠุฏ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† objective ุฑู‚ู…
1892
+
1893
+ 474
1894
+ 00:39:49,460 --> 00:39:51,920
1895
+ ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ hypothesis
1896
+
1897
+ 475
1898
+ 00:39:59,210 --> 00:40:08,030
1899
+ test ุงูˆู„ ูˆุงุญุฏุฉ ู‡ุงุฎุฏู‡ุง ุงูŠู‡ for the mean ู„ู„ูˆุณุท
1900
+
1901
+ 476
1902
+ 00:40:08,030 --> 00:40:11,930
1903
+ ุงู†
1904
+
1905
+ 477
1906
+ 00:40:11,930 --> 00:40:18,430
1907
+ ุงู†ุง ู‡ุงุทู„ุนุธ ุงู† ุฎู„ุงู„ ุงู„ุดุงุฑุน ูƒู„ ุญูƒูŠ 90% ู…ูƒุฑุฑ ุงุฎุฏู†ุงู‡ุง
1908
+
1909
+ 478
1910
+ 00:40:18,430 --> 00:40:25,830
1911
+ ููŠ 6 ูˆ 7ูˆุงู„ุจุงู‚ูŠ ุฌุฏูŠุฏ ุดูุชุฑ ุชุณุนุฉ ูˆุงุฎุฏู†ุง ู…ู†ู‡ ุฌุฒุก ููŠ
1912
+
1913
+ 479
1914
+ 00:40:25,830 --> 00:40:29,390
1915
+ ุงู„ basic principles ุงู„ูŠูˆู… ูˆุงู…ุจุงุฑุญ ูˆุงู„ูŠูˆู… ู‡ูƒูˆู† ู„ุงู†
1916
+
1917
+ 480
1918
+ 00:40:29,390 --> 00:40:33,850
1919
+ ููŠ ุดุบู„ุฉ ุฌุฏูŠุฏุฉ ุจุณ ู‡ู†ุชุนุฑู ุนู„ูŠู‡ุง ู…ุน ุจุนุถ ุงู„ hypothesis
1920
+
1921
+ 481
1922
+ 00:40:33,850 --> 00:40:38,890
1923
+ is for ฮผูŠูˆ ู…ูŠู† ูŠุนู†ูŠ ุงู„ู…ูŠูˆ ูˆุฏุงุฆู…ุง ุฒูŠ ู…ุง ุญูƒูŠุช ู…ุฑุฉ
1924
+
1925
+ 482
1926
+ 00:40:38,890 --> 00:40:42,390
1927
+ ูุงุช ุจุนู…ู„ testing about population parameter ุงุฎุชุจุงุฑ
1928
+
1929
+ 483
1930
+ 00:40:42,390 --> 00:40:45,570
1931
+ ุญูˆู„ ุงู„ population ู†ูุณู‡ ุณูˆุงุก ุงู„ mean ุชุจุน ุงู„
1932
+
1933
+ 484
1934
+ 00:40:45,570 --> 00:40:50,810
1935
+ population ุฃูˆ ุงู„ู„ู‚ุงุกุงุช ุงู„ุฌุงูŠุฉ ู„ู„ proportionู„ุฃู†
1936
+
1937
+ 485
1938
+ 00:40:50,810 --> 00:40:54,410
1939
+ ู‡ู†ุฌุณู… ุงู„ุฌุฒุฆูŠู† hypothesis for mu there are two
1940
+
1941
+ 486
1942
+ 00:40:54,410 --> 00:40:57,690
1943
+ scenarios when sigma is known I mean when sigma is
1944
+
1945
+ 487
1946
+ 00:40:57,690 --> 00:41:05,070
1947
+ given sigma is called what's the sigma no it's not
1948
+
1949
+ 488
1950
+ 00:41:05,070 --> 00:41:12,890
1951
+ standard deviation ูˆู„ุง standard ูˆู„ุง variance ุงู„
1952
+
1953
+ 489
1954
+ 00:41:12,890 --> 00:41:16,670
1955
+ sigma ุนุจุงุฑุฉ ุนู† ุงูŠุด population standard deviation
1956
+
1957
+ 490
1958
+ 00:41:16,670 --> 00:41:19,430
1959
+ ุงู…ูŠุฒ ุงู„ sigma ู‡ุฐู‡
1960
+
1961
+ 491
1962
+ 00:41:22,630 --> 00:41:25,950
1963
+ population standard deviation ู„ู…ุง ููŠ ุนู†ุฏ ุงู„ sample
1964
+
1965
+ 492
1966
+ 00:41:25,950 --> 00:41:29,330
1967
+ standard deviation ุงู„ู„ูŠ ู‡ูŠ ุงู„ S ุงู†ุง ุจุชูƒู„ู… ุนู† ุงู„
1968
+
1969
+ 493
1970
+ 00:41:29,330 --> 00:41:34,130
1971
+ sigma ุงู„ู„ูŠ ู‡ูŠ population standard deviation ุงุฐุง
1972
+
1973
+ 494
1974
+ 00:41:34,130 --> 00:41:37,930
1975
+ when sigma is known the test is called z test
1976
+
1977
+ 495
1978
+ 00:41:37,930 --> 00:41:41,690
1979
+ ุงู„ุงุฎุชุจุงุฑ ุงุณู…ู‡ z ุงู„ู„ูŠ ู‡ูŠ ุงุฒุงูŠ ุงู„ z score ุงู„ู„ูŠ
1980
+
1981
+ 496
1982
+ 00:41:41,690 --> 00:41:46,510
1983
+ ุฃุฎุฏู†ุงู‡ุง ููŠ chapter 7 ู…ุด 6 ู„ูŠุดุŸู„ู…ุง ุงุชูƒู„ู… ุนู„ู‰ ุงู„
1984
+
1985
+ 497
1986
+ 00:41:46,510 --> 00:41:51,050
1987
+ mean ูˆ ุงู„ mean ูƒุงู†ุช ููŠ ุดูุชุฑ ุณุจุนุฉ ุจุฐูƒุฑ ูƒุงู† ุงู„ z ุฃู‚ู„
1988
+
1989
+ 498
1990
+ 00:41:51,050 --> 00:41:55,670
1991
+ ุนู† x bar minus mu divided by sigma over root n ู‡ุฐุง
1992
+
1993
+ 499
1994
+ 00:41:55,670 --> 00:42:00,230
1995
+ ุดูุชุฑ ุณุจุนุฉ ุงู„ุญุงุฌุฉ ุงู„ุชุงู†ูŠุฉ when sigma is unknown
1996
+
1997
+ 500
1998
+ 00:42:00,230 --> 00:42:05,650
1999
+ ูŠุนู†ูŠ sigma ู…ุด ู…ุนู„ูˆู…ุฉ ู‡ู†ุงุฎุฏ ุงู„ new test is called t
2000
+
2001
+ 501
2002
+ 00:42:05,650 --> 00:42:09,590
2003
+ test for next time ุงู† ุดุงุก ุงู„ู„ู‡ next time ุงู„ู„ู‡ ุฃุนู„ู…
2004
+
2005
+ 502
2006
+ 00:42:10,560 --> 00:42:14,320
2007
+ ู…ุด ุดุฑุท ุจูƒุฑุง ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง ู…ู† ุงู„ุฃุฑุจุนุงุก ุงู„ู‚ุงุฏู…ุฉ ุฃูˆ ูˆู„ุง
2008
+
2009
+ 503
2010
+ 00:42:14,320 --> 00:42:21,260
2011
+ ุญุณุจ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ู‡ุจุฏุฃ when sigma is known ุงุฐุง ุงู†ุง
2012
+
2013
+ 504
2014
+ 00:42:21,260 --> 00:42:27,960
2015
+ ุงุชุตู„ ุงู†ุฏูŠ for the mean ููŠ ุดุบู„ุชูŠู† ุงูŠู‡ ูˆุงุญุฏ sigma is
2016
+
2017
+ 505
2018
+ 00:42:27,960 --> 00:42:33,180
2019
+ known ุงูŠุด ู…ุนู†ู‰ known ูŠุนู†ูŠ ุงู„ sigma ุงู†ุง ุนุงุฑู
2020
+
2021
+ 506
2022
+ 00:42:33,180 --> 00:42:37,420
2023
+ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ sigma is given ู…ู‚ุทุน ู…ุนุงู‡ ูŠุนู†ูŠ sigma
2024
+
2025
+ 507
2026
+ 00:42:37,420 --> 00:42:43,790
2027
+ ู…ุนุฑูˆูุฉ ููŠ ุงู„ู…ุซู„ุฉูƒู„ ู‡ุนู…ู„ู‡ step number one convert
2028
+
2029
+ 508
2030
+ 00:42:43,790 --> 00:42:49,210
2031
+ sample statistic x bar to z statistic ุณู‡ู„ ุงูˆ ู„ุง
2032
+
2033
+ 509
2034
+ 00:42:49,210 --> 00:42:57,550
2035
+ ูŠุนู†ูŠ ูƒู„ ุจุนู…ู„ู‡ ุจุทู„ู‚ z statistic ู‡ุฐุง z stat means
2036
+
2037
+ 510
2038
+ 00:42:57,550 --> 00:43:02,650
2039
+ for z statistic z stat ูŠุนู†ูŠ z ู„ุชุณุช ุงู„ statistic
2040
+
2041
+ 511
2042
+ 00:43:02,650 --> 00:43:09,030
2043
+ ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ู…ุด ุจุงู„ุณุงูˆูŠ ุฎุฏู†ุงู‡ุง ู‚ุจู„ ู‡ูŠูƒุชุฐูƒุฑ X bar
2044
+
2045
+ 512
2046
+ 00:43:09,030 --> 00:43:13,650
2047
+ minus ุงู„ mean ู‡ุฐุง
2048
+
2049
+ 513
2050
+ 00:43:13,650 --> 00:43:18,130
2051
+ ู…ู† ุฃูŠ chapterุŸ chapter 7 ุงุฐุง chapter 7 ุฏุฎู„ ู…ุนุงูŠุง
2052
+
2053
+ 514
2054
+ 00:43:18,130 --> 00:43:21,950
2055
+ ุนู„ู‰ ุญุณุงุจ ุชุณู…ูŠุฉ test statistic
2056
+
2057
+ 515
2058
+ 00:43:27,880 --> 00:43:30,180
2059
+ ุฅุฐุง ุฃุฎุจุฑุชูƒ ุฃู†ูƒ ุชุญุณุจ ุงู„ test ุงู„ statistic ู‚ูŠู…ุฉ
2060
+
2061
+ 516
2062
+ 00:43:30,180 --> 00:43:36,720
2063
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
2064
+
2065
+ 517
2066
+ 00:43:36,720 --> 00:43:40,460
2067
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
2068
+
2069
+ 518
2070
+ 00:43:40,460 --> 00:43:47,580
2071
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
2072
+
2073
+ 519
2074
+ 00:43:47,580 --> 00:43:48,460
2075
+ ุงู„ุงุฎุชุจุงุฑ
2076
+
2077
+ 520
2078
+ 00:43:54,340 --> 00:43:57,400
2079
+ ูŠุนู†ูŠ for two-tailed test for the mean sigma non
2080
+
2081
+ 521
2082
+ 00:43:57,400 --> 00:44:01,600
2083
+ -convert x bar to z statistic ุฎู„ุตู†ุง step 2
2084
+
2085
+ 522
2086
+ 00:44:01,600 --> 00:44:05,840
2087
+ determine the critical z values ุญุฏุฏ ุงู„ critical
2088
+
2089
+ 523
2090
+ 00:44:05,840 --> 00:44:08,900
2091
+ values ุงู„ู„ูŠ ุทู„ุนู„ู‡ู… ู…ู† ุดูˆูŠุฉ ุงู„ู„ูŠ ู‡ู… ู„ู…ุง ุงู„ alpha
2092
+
2093
+ 524
2094
+ 00:44:08,900 --> 00:44:16,000
2095
+ ูƒุงู†ุช 5% ุฅูŠุด ูƒุงู†ูˆุง ุจูŠุณุงูˆูˆุง plus or minus 1.96 ู‡ุฏูˆู„
2096
+
2097
+ 525
2098
+ 00:44:16,000 --> 00:44:20,760
2099
+ ุงู„ critical values step 1 step 2 ุฃุทู„ุน ุงู„ critical
2100
+
2101
+ 526
2102
+ 00:44:20,760 --> 00:44:22,840
2103
+ values
2104
+
2105
+ 527
2106
+ 00:44:25,720 --> 00:44:30,040
2107
+ ูˆ ู‡ุฏูˆู„ ุฒู‰ ู…ุง ุญูƒูŠุช ุชุทู„ุนูˆุง ูŠุญู…ู„ูˆุง ู…ู† ู…ู† ุงู„ table
2108
+
2109
+ 528
2110
+ 00:44:30,040 --> 00:44:35,780
2111
+ ุทุจุนุง for specified level of significance alpha ุญุณุจ
2112
+
2113
+ 529
2114
+ 00:44:35,780 --> 00:44:37,620
2115
+ ู‚ูŠู…ุฉ ุงู„ alpha ุงุญู†ุง ุฃุฎุฏุช ุงู„ alpha ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
2116
+
2117
+ 530
2118
+ 00:44:37,620 --> 00:44:42,160
2119
+ from ุงู„ table ุฃุฎุฏู†ุง ุงู„ table ุชุนุฒูŠุฒูŠ ุงู„ table or
2120
+
2121
+ 531
2122
+ 00:44:42,160 --> 00:44:46,260
2123
+ using computer software ู…ุงู†ุนุด ููŠู‡ุง ูŠุนู†ูŠ ุจุงู„ Excel
2124
+
2125
+ 532
2126
+ 00:44:46,260 --> 00:44:51,180
2127
+ ู…ู…ูƒู† ุงูˆ ุงูŠ ุญุณุงุจ ุงูˆ ุงูŠ ุจุฑู†ุงู…ุฌ ูŠุญุตู„ ุงุฐุง step ุฑู‚ู… 2
2128
+
2129
+ 533
2130
+ 00:44:51,180 --> 00:44:58,140
2131
+ ุณู‡ู„ูˆู‡ุฐุง ุฐุงูƒุฑูƒ ููŠู‡ ุนุงู„ู‡ู…ุด ู„ูˆ ูƒุงู†ุช Alpha ุจ 5% ูˆูƒุงู†
2132
+
2133
+ 534
2134
+ 00:44:58,140 --> 00:45:01,740
2135
+ ููŠู‡ End of two tilled ุฅูŠุด ู‡ุชู„ุน ุงู„ุฌูˆุงุจ plus or
2136
+
2137
+ 535
2138
+ 00:45:01,740 --> 00:45:07,540
2139
+ minusุŸ ู…ุธุจูˆุท ูˆุงุญุฏุฉ ุน ุงู„ูŠู…ูŠู† 196 ูˆุงู„ุชุงู†ูŠุฉ ุน ุงู„ุดู…ุงู„
2140
+
2141
+ 536
2142
+ 00:45:07,540 --> 00:45:15,560
2143
+ negative 1.96 ูˆู„ูˆ ูƒุงู† one tilled ุญุณุจ ู‡ุชูƒูˆู† 1645
2144
+
2145
+ 537
2146
+ 00:45:15,560 --> 00:45:20,500
2147
+ ุฅุฐุง ูƒุงู†ุช ุน ุงู„ right ูŠุนู†ูŠ ุงู„ upper ู…ุธุจูˆุท
2148
+
2149
+ 538
2150
+ 00:45:22,760 --> 00:45:27,760
2151
+ ุฃูˆ ู†ูŠุฌุงุชูŠุจ 1645 ุฅุฐุง ูƒุงู†ุช ุฃุณูู„ ุฃุนุชู‚ุฏ ูƒุฏู‡ ุณู‡ู„ุฉ ุณู‡ู„ุฉ
2152
+
2153
+ 539
2154
+ 00:45:27,760 --> 00:45:35,980
2155
+ ู‡ุฐุง ุงู„ second step ุทูŠุจ ู„ุงุญุธ ู…ู† ุฃูŠ chapter ุงุณุชุฎุฏุงู…
2156
+
2157
+ 540
2158
+ 00:45:35,980 --> 00:45:39,920
2159
+ ุงู„ Z-table ู…ู† chapter 6 ู…ุธุจูˆุท ุฅุฐุง ูˆุงุถุญ step 1 ูˆ 2
2160
+
2161
+ 541
2162
+ 00:45:39,920 --> 00:45:44,300
2163
+ ู…ู† where ู…ู† ุงู„ previous chapters ู…ู† 6 ูˆ 7 ุจุชุชู… ุนู†ุฏ
2164
+
2165
+ 542
2166
+ 00:45:44,300 --> 00:45:50,020
2167
+ chapter 9 ูƒู„ู…ุฉ ุตุบูŠุฑุฉ ุชุญุช ุงู„ู„ูŠ step 3 ุงู„ู„ูŠ ู‡ูˆ
2168
+
2169
+ 543
2170
+ 00:45:50,020 --> 00:45:55,690
2171
+ decision rule ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุงูŠุนู†ูŠ ูƒู„ ุดุบู„ู†ุง ุน ุงู„
2172
+
2173
+ 544
2174
+ 00:45:55,690 --> 00:46:02,250
2175
+ decision rule ููŠ ุดู‡ุฑ 9 ุจูŠุญูƒูŠ ุงู„ู‚ุงุนุฏุฉ ุงู„ู„ูŠ ู‡ูŠ rule
2176
+
2177
+ 545
2178
+ 00:46:02,250 --> 00:46:08,070
2179
+ of thumb if the test statistic ุงุฐุง ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ
2180
+
2181
+ 546
2182
+ 00:46:08,070 --> 00:46:13,230
2183
+ falls in the rejection region ุงู„ rejection ุจู‚ูˆู„ุชูƒ
2184
+
2185
+ 547
2186
+ 00:46:13,230 --> 00:46:16,750
2187
+ ู‡ูŠ ู‡ู… ุงู„ุฃุณูˆุฏ ุงู„ุนุงู„ู…ูŠู† ูˆ ุงู„ุดู…ุงู„ ููŠ ุงู„ two tail ุงู„ู„ูŠ
2188
+
2189
+ 548
2190
+ 00:46:16,750 --> 00:46:24,090
2191
+ ู‡ู… ู‡ุฏูˆู„ ู‡ู†ุง ูƒุงู†ุช ู‡ุฏูˆู„ ุงู„ุชู†ุชูŠู†ุจู†ุณู…ูŠู‡ู… rejection
2192
+
2193
+ 549
2194
+ 00:46:24,090 --> 00:46:27,950
2195
+ region ูˆ
2196
+
2197
+ 550
2198
+ 00:46:27,950 --> 00:46:31,870
2199
+ ุงู„ upper tail ูŠูƒูˆู†ูˆุง
2200
+
2201
+ 551
2202
+ 00:46:31,870 --> 00:46:36,290
2203
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ ุงู„ lower tail ูˆูŠู†ุŸ ุนู„ู‰ ุงู„ุดู…ุงู„ ู‡ุฏูˆู„
2204
+
2205
+ 552
2206
+ 00:46:36,290 --> 00:46:42,270
2207
+ ุจู†ุณู…ูŠู‡ู… rejection regions ุจุญูƒูŠ ุทุจุนุง ุงูŠ ู…ุซู„ุฉ ุจุชูƒูˆู†
2208
+
2209
+ 553
2210
+ 00:46:42,270 --> 00:46:46,610
2211
+ ุงู…ุง two tail ุงูˆ one tail ุงูˆ upper tail lower tail
2212
+
2213
+ 554
2214
+ 00:46:46,610 --> 00:46:49,530
2215
+ ุงูˆ upper tail ู…ุงุจูƒูˆู†ุด ุชู„ุงุชุฉ ู…ุน ุจุนุถ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุจุณ
2216
+
2217
+ 555
2218
+ 00:46:50,530 --> 00:46:55,610
2219
+ ูุจุทู„ุน ุงู„ู€ rejection region ุงู„ู‚ู„ุงุฑ if the test
2220
+
2221
+ 556
2222
+ 00:46:55,610 --> 00:46:58,870
2223
+ statistic ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ูŠ ูˆูŠู† ุทู„ุน ุญุณุจุชู‡ step
2224
+
2225
+ 557
2226
+ 00:46:58,870 --> 00:47:02,770
2227
+ ูˆุงุญุฏ if the test falls in the rejection region
2228
+
2229
+ 558
2230
+ 00:47:02,770 --> 00:47:12,590
2231
+ ุจูŠู‚ุน ุฌูˆุง then we reject a zero is an if the test
2232
+
2233
+ 559
2234
+ 00:47:12,590 --> 00:47:19,150
2235
+ statistic ุฎู„ูŠู†ุง ู†ุญูƒูŠู‡ุง ุจุตูˆุฑุฉ ุฃุฏุงุก if the valueู‚ูŠู…ุฉ
2236
+
2237
+ 560
2238
+ 00:47:19,150 --> 00:47:22,830
2239
+ ุงุฐุง ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2240
+
2241
+ 561
2242
+ 00:47:22,830 --> 00:47:28,390
2243
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2244
+
2245
+ 562
2246
+ 00:47:28,390 --> 00:47:29,750
2247
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2248
+
2249
+ 563
2250
+ 00:47:29,750 --> 00:47:29,770
2251
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2252
+
2253
+ 564
2254
+ 00:47:29,770 --> 00:47:32,830
2255
+ ูƒู…ูŠุฉ
2256
+
2257
+ 565
2258
+ 00:47:32,830 --> 00:47:38,870
2259
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2260
+
2261
+ 566
2262
+ 00:47:38,870 --> 00:47:43,670
2263
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2264
+
2265
+ 567
2266
+ 00:47:43,670 --> 00:47:44,750
2267
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2268
+
2269
+ 568
2270
+ 00:47:44,750 --> 00:47:44,770
2271
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2272
+
2273
+ 569
2274
+ 00:47:44,770 --> 00:47:47,460
2275
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉูˆู‚ุน ุฌูˆุจุฉ ูŠุนู†ูŠ ุงูŠุดุŸ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช two
2276
+
2277
+ 570
2278
+ 00:47:47,460 --> 00:47:49,980
2279
+ -thirds ู„ุฃ ู„ูˆ ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู†ุงุญูŠุฉ ุงู„
2280
+
2281
+ 571
2282
+ 00:47:49,980 --> 00:47:54,620
2283
+ negative ู…ุง ุฃู†ุง ูˆู‚ุน ููŠู‡ุงุŒ ูŠุนู†ูŠ ุชุฎูŠู„ ู…ุนุงูŠุง ุฃุฎุฏ
2284
+
2285
+ 572
2286
+ 00:47:54,620 --> 00:48:00,760
2287
+ example ุจุชูƒู„ู… ุนู„ู‰ 95Y ู„ critical values ุงู„
2288
+
2289
+ 573
2290
+ 00:48:00,760 --> 00:48:05,960
2291
+ rejection region ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ู†ุงุŒ ู…ุธุจูˆุท ุฃูˆ
2292
+
2293
+ 574
2294
+ 00:48:05,960 --> 00:48:11,680
2295
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุงู† ุจุชุนุทูŠูƒ for example suppose Z equal
2296
+
2297
+ 575
2298
+ 00:48:11,680 --> 00:48:19,360
2299
+ ุชู„ุงุชุฉ ูˆ ู†ุตู‡ุฐุง ุฒูŠ ุณู…ูŠุฉ ุฒูŠ stat ู‡ุฐุง ุงู„ test ุงู„
2300
+
2301
+ 576
2302
+ 00:48:19,360 --> 00:48:23,060
2303
+ statistic ุงุณุฃู„ ู†ูุณูƒ does this value fall in the
2304
+
2305
+ 577
2306
+ 00:48:23,060 --> 00:48:27,580
2307
+ rejection region ูŠุนู†ูŠ ุงู…ุง ุชูƒูˆู† ุงูƒุจุฑ ู…ู† 1.96 ุงูˆ ุงู‚ู„
2308
+
2309
+ 578
2310
+ 00:48:27,580 --> 00:48:33,280
2311
+ ู…ู† negative ููˆุงุถุญ ู‡ุฐู‡ ู‡ู†ุง ุงุฐุง we reject the null
2312
+
2313
+ 579
2314
+ 00:48:33,280 --> 00:48:37,660
2315
+ hypothesis ุทูŠุจ ู„ูˆ ูƒุงู†ุช for example z equal
2316
+
2317
+ 580
2318
+ 00:48:37,660 --> 00:48:41,700
2319
+ negative one ุงู†ุง ุงุชูƒู„ู…ุช
2320
+
2321
+ 581
2322
+ 00:48:49,770 --> 00:48:55,290
2323
+ ู…ุด ูƒู„ ุณุงู„ุจ ุจูŠ reject ูˆู„ุง ูƒู„ ู…ูˆุฌุฉ ุจูŠ reject ู‡ู†ุง
2324
+
2325
+ 582
2326
+ 00:48:55,290 --> 00:49:00,470
2327
+ ุจุชูƒู„ู… ุนู† ุชูˆุชูŠู„ negative one point four ุงู„
2328
+
2329
+ 583
2330
+ 00:49:00,470 --> 00:49:08,030
2331
+ rejection ุฑ ุฑ ู†ุชุนูˆุฏ ุนู„ูŠู‡ุง ุฑ ุฑ ูŠุนู†ูŠ ุงูŠุด rejection
2332
+
2333
+ 584
2334
+ 00:49:08,030 --> 00:49:13,390
2335
+ region ู‡ุชูƒูˆู† ุงูƒุจุฑ ู…ู† ูˆุงุญุฏ ู†ูŠู† ุชุณุนุฉ ุงูˆ ุงู‚ู„ ู…ู† ู…ู†
2336
+
2337
+ 585
2338
+ 00:49:13,390 --> 00:49:15,150
2339
+ ุณุงู„ุจ
2340
+
2341
+ 586
2342
+ 00:49:16,600 --> 00:49:20,840
2343
+ ุชุณุฃู„ ู†ูุณูƒ ุงู„ู€ negative 1.4 ู‡ู„ ู‡ูŠ ุฃู‚ู„ ู…ู† ู†ุงู‚ุต 1.9ุŸ
2344
+
2345
+ 587
2346
+ 00:49:20,840 --> 00:49:26,380
2347
+ ู„ุฃุŒ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ ู‡ู†ุง ู‡ุฐู‡ ุงู„ area ุงู„ุจูŠุถุงุŒ
2348
+
2349
+ 588
2350
+ 00:49:26,380 --> 00:49:30,480
2351
+ ุจู†ุณู…ูŠู‡ุง none rejection areaุŒ ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุง
2352
+
2353
+ 589
2354
+ 00:49:30,480 --> 00:49:34,800
2355
+ ุงู„ู„ูŠ ุจูŠู† ุงู„ุฃุซู†ูŠู†ุŒ ุจุณ ููŠู‡ุง ู…ู†ุทู‚ุฉ ุนุฏู… ุงู„ุฑูุถ ุทูŠุจุŒ
2356
+
2357
+ 590
2358
+ 00:49:34,800 --> 00:49:39,120
2359
+ ุงุนุทูŠู†ูŠ example ููŠู‡ุง reject ู„ู„ู…ุซู„ ู‡ุฐุงุŒ ุงุนุทูŠู†ูŠ ุงู„ู€ z
2360
+
2361
+ 591
2362
+ 00:49:39,120 --> 00:49:46,640
2363
+ ูŠูƒูˆู† ููŠู‡ุง reject 2.5 ู„ูˆ ูˆู‚ุน ู‡ู†ุงุงู„ุซุงู†ูŠ ุจุงู„ุงุชู†ูŠู†
2364
+
2365
+ 592
2366
+ 00:49:46,640 --> 00:49:50,520
2367
+ ูˆุงู‚ุน ู‡ู†ุง ููŠ ุงู„ region of rejection ุงุนุทูŠู†ูŠ ุญุงู„ุฉ ู„ู„
2368
+
2369
+ 593
2370
+ 00:49:50,520 --> 00:49:56,500
2371
+ .. don't reject ูˆุงุญุฏ .. ูˆุงุญุฏ ู‡ู†ุง ุงู„ุซุงู†ูŠ ูˆุงุญุฏ ุงุชู†ูŠู†
2372
+
2373
+ 594
2374
+ 00:49:56,500 --> 00:50:01,620
2375
+ ู‡ู†ุง one point four ู‡ู†ุง ูˆ ู‡ูƒุฐุง point four ูŠุนู†ูŠ ุงูŠ
2376
+
2377
+ 595
2378
+ 00:50:01,620 --> 00:50:04,360
2379
+ ุญุงุฌุฉ between negative one nine six and one point
2380
+
2381
+ 596
2382
+ 00:50:04,360 --> 00:50:08,940
2383
+ nine six non rejection region ุงุนุทูŠูƒูŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
2384
+
2385
+ 597
2386
+ 00:50:08,940 --> 00:50:12,900
2387
+ ู„ู…ูŠู† ู„ู„ two tailed ู†ุงุฎุฏ one tailed ุงุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ
2388
+
2389
+ 598
2390
+ 00:50:12,900 --> 00:50:17,920
2391
+ three stepsCompute these statistics ู…ู† Chapter 7
2392
+
2393
+ 599
2394
+ 00:50:17,920 --> 00:50:23,980
2395
+ ุงุญุณุจ ุงู„ู€ Critical values ู…ู† Chapter 6 Chapter 9 ุจุณ
2396
+
2397
+ 600
2398
+ 00:50:23,980 --> 00:50:28,920
2399
+ ุดุบู„ ุตุบูŠุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ decision rule We reject the
2400
+
2401
+ 601
2402
+ 00:50:28,920 --> 00:50:33,220
2403
+ null if the statistic value falls in the rejection
2404
+
2405
+ 602
2406
+ 00:50:33,220 --> 00:50:37,220
2407
+ region Now for two-tailed test, the rejection
2408
+
2409
+ 603
2410
+ 00:50:37,220 --> 00:50:41,620
2411
+ region is in the lower tail and upper tail But on
2412
+
2413
+ 604
2414
+ 00:50:41,620 --> 00:50:44,780
2415
+ the other hand, if we are talking about one-tailed
2416
+
2417
+ 605
2418
+ 00:50:44,780 --> 00:50:52,730
2419
+ test1 tail ุฏุฎู„ู†ุง ู†ุฑุณู…ู‡ุง ุชุญุช ู‡ู†ุง ู‡ูŠ ุงู„ right
2420
+
2421
+ 606
2422
+ 00:50:52,730 --> 00:50:56,690
2423
+ suppose we are talking about right tail and alpha
2424
+
2425
+ 607
2426
+ 00:50:56,690 --> 00:51:00,870
2427
+ is five percent so this value equals ุงูŠุด ุงู„ู‚ูŠู…ุฉ
2428
+
2429
+ 608
2430
+ 00:51:00,870 --> 00:51:08,590
2431
+ ุจุชุณุงูˆูŠ ุงุญูุธู†ูŠ ูŠุงู‡ุง 1645 ู…ุธุจูˆุท ุทุจ ู„ูˆ ุฃุฒูŠูŠ ุงู„
2432
+
2433
+ 609
2434
+ 00:51:08,590 --> 00:51:16,090
2435
+ statistic ุณูˆุงุช ูˆุงุญุฏ ูˆ ู†ุตูˆุงู‚ุน ู‡ู†ุง ููŠ ุงู„ู†ุงุฑ
2436
+
2437
+ 610
2438
+ 00:51:16,090 --> 00:51:20,750
2439
+ rejection ุฅุฐุง ุงู„ rejection ุชูƒูˆู† ุงู„ Z set ู…ู„ู‡ู‚ ุฃูƒุจุฑ
2440
+
2441
+ 611
2442
+ 00:51:20,750 --> 00:51:30,910
2443
+ ู…ู† 1,6,4,5 ู‡ู†ุง ุฅูŠุด ูƒุงู†ุช ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ู…ุธุจูˆุท ู‡ู†ุง ุจุณ
2444
+
2445
+ 612
2446
+ 00:51:30,910 --> 00:51:33,970
2447
+ ุฃูƒุจุฑ ู„ูŠุด ู„ุฃู† ุนู†ุฏูŠ upper tail ูŠุนู†ูŠ ู„ูˆ ุจุฎุชุจุฑ ู…ูŠูˆ
2448
+
2449
+ 613
2450
+ 00:51:33,970 --> 00:51:39,730
2451
+ ุฃูƒุจุฑ ู…ู† 30 ู‡ู†ุง ุจุฎุชุจุฑ ู…ูŠูˆ ุจุชุณูˆูŠุด 30 ุทุจ ุฃุนุทูŠู†ูŠ ุญุงุฌุฉ
2452
+
2453
+ 614
2454
+ 00:51:39,730 --> 00:51:47,940
2455
+ reject ุฃูŠ ุญุงุฌุฉ ุฃูƒุจุฑ 1.6451.7 ุงุชู†ูŠู† ุงูŠ ุญุงุฌุฉ ุฌูˆุง
2456
+
2457
+ 615
2458
+ 00:51:47,940 --> 00:51:53,980
2459
+ ุงุฑุจุน ุฎู…ุณุฉ ุณุชุฉ ุงูŠ ุญุงุฌุฉ ุฌูˆุง ุทุจ ู‡ุฐุง upper tail ู†ุงุฎุฏ
2460
+
2461
+ 616
2462
+ 00:51:53,980 --> 00:52:00,220
2463
+ lower tail lower tail the area to the left ุงู„ู„ูŠ ู‡ูŠ
2464
+
2465
+ 617
2466
+ 00:52:00,220 --> 00:52:06,100
2467
+ negative 1645 ุทุจ ุง reject ุงุฐุง ูƒุงู†ุช ุงู„ z-stat ู…ู„ุฃ
2468
+
2469
+ 618
2470
+ 00:52:06,100 --> 00:52:12,620
2471
+ ุงู‚ู„ ู…ู† negative ุทุจ ู„ูˆ ุณูˆู‰ ุงู„ z-stat negative ูˆุงุญุฏ
2472
+
2473
+ 619
2474
+ 00:52:14,830 --> 00:52:17,090
2475
+ ุงู„ู€ negative ูˆุงุญุฏ ููŠ ุงู„ู€ non-rejection region ู„ุฐุง
2476
+
2477
+ 620
2478
+ 00:52:17,090 --> 00:52:24,290
2479
+ ู„ุง ู†ู†ุฌุญ ุงุฐุง ุณูˆู‰ negative ุงุชู†ูŠู† ู„ุง ู†ู†ุฌุญ ู„ุง ู†ู†ุฌุญ ู„ุง
2480
+
2481
+ 621
2482
+ 00:52:24,290 --> 00:52:30,450
2483
+ ู†ู†ุฌุญ ูˆ ู‡ู†ุง ู†ู†ุฌุญ ูˆุงุถุญุŸ ู…ุนู†ุงู‡ ูƒุฐุง ุงู†ูƒ ุชุญู„ูŠ ุงู„ู…ุซู„ุฉ
2484
+
2485
+ 622
2486
+ 00:52:30,450 --> 00:52:36,480
2487
+ ุนู…ู„ู‡ุง ุณู‡ู„ุฉู„ุฃู†ู‡ two steps from chapter 6 and 7 ุงู„ู„ูŠ
2488
+
2489
+ 623
2490
+ 00:52:36,480 --> 00:52:40,000
2491
+ ู‡ูŠ compute ุงู„ test statistic ู…ู† chapter 7 ูˆู…ุฒูŠูƒ
2492
+
2493
+ 624
2494
+ 00:52:40,000 --> 00:52:43,520
2495
+ critical values from chapter 6 then decision rule
2496
+
2497
+ 625
2498
+ 00:52:43,520 --> 00:52:47,140
2499
+ is easy just if the value of the test falls in the
2500
+
2501
+ 626
2502
+ 00:52:47,140 --> 00:52:50,480
2503
+ rejection region, falls it means for two-third
2504
+
2505
+ 627
2506
+ 00:52:50,480 --> 00:52:53,260
2507
+ ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูˆ ุฃู‚ู„ ู…ู† ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ ู„ุฃู† ุงู„
2508
+
2509
+ 628
2510
+ 00:52:53,260 --> 00:52:55,520
2511
+ area ู‡ุฏูˆู„ ุงู„ shaded area ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ูŠุงุดุฑ
2512
+
2513
+ 629
2514
+ 00:52:56,080 --> 00:52:59,380
2515
+ rejection regions ูุฅู…ุง ุจุชูƒูˆู† ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆุงู„ุดู…ุงู„ ููŠ
2516
+
2517
+ 630
2518
+ 00:52:59,380 --> 00:53:02,340
2519
+ ุงู„ two-tailed ุฃูˆ ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ ุงู„ one-tailed ุฃูˆ
2520
+
2521
+ 631
2522
+ 00:53:02,340 --> 00:53:05,520
2523
+ ุนู„ู‰ ุงู„ูŠุณุงุฑ ููŠ ุงู„ one-tailed ุจุณ ุงู„ lower one-tailed
2524
+
2525
+ 632
2526
+ 00:53:05,520 --> 00:53:13,880
2527
+ ูˆ ุงู„ู„ู‡ ุณุคุงู„ูƒ ู…ู‡ู… ูŠุนู†ูŠ ุฅุญู†ุง ุจู†ุนุชุจุฑ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุฏุงุฎู„ุฉ
2528
+
2529
+ 633
2530
+ 00:53:13,880 --> 00:53:18,800
2531
+ ุถู…ู† ุงู„ rejection ูŠุนู†ูŠ ุฎุฏู‡ุง ุฃูˆ ูŠุณุงูˆูŠ ู…ุด ู…ุดูƒู„ุฉูŠุนู†ูŠ
2532
+
2533
+ 634
2534
+ 00:53:18,800 --> 00:53:22,560
2535
+ ุนู†ุฏู‡ุง ูˆ ุฃูƒุชุฑ ุงูˆ ุนู†ุฏู‡ุง ูˆ ุฃู‚ู„ ุฎู„ุงุต ูƒูˆูŠุณ ูŠุนู†ูŠ ุฎู„ู†ุง
2536
+
2537
+ 635
2538
+ 00:53:22,560 --> 00:53:27,340
2539
+ ู†ุชูู‚ ุณูˆุงุก ุฒู…ู†ูƒ ูƒูˆูŠุณ ุงู„ 196 ู†ุฏุฎู„ู‡ุง ูˆู„ุง ู„ุฃ ุฏุฎู„ูŠู‡ุง
2540
+
2541
+ 636
2542
+ 00:53:27,340 --> 00:53:33,280
2543
+ ุงุนุชุจุฑูŠ ุงู„ rejection ุชุจุฏุฃ ู…ู† 1.696 ุฅู„ู‰ ู…ุง ู„ุงู†ู‡ูŠุฉ ุงูˆ
2544
+
2545
+ 637
2546
+ 00:53:33,280 --> 00:53:39,420
2547
+ negative ู…ุง ู„ุงู†ู‡ูŠุฉ ู„ุบุงูŠุฉ negative 1.96 ุฎู„ุงุต ุงู„ุงู†
2548
+
2549
+ 638
2550
+ 00:53:39,420 --> 00:53:44,100
2551
+ ุจุฏุฃ ูŠุญูƒูŠ ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ two tailed lower
2552
+
2553
+ 639
2554
+ 00:53:44,100 --> 00:53:47,960
2555
+ critical value ูˆ ู‡ูŠ ู‚ุจุฑ ุฎู„ุงุต ุจุชูˆุน ุญูƒูŠู†ุง ุนู„ูŠู‡ู…
2556
+
2557
+ 640
2558
+ 00:53:51,380 --> 00:53:57,000
2559
+ ุงู„ุงู† ุจุญูƒูŠ ุนู„ู‰ six steps in hypothesis testing ููŠู‡
2560
+
2561
+ 641
2562
+ 00:53:57,000 --> 00:54:10,140
2563
+ ุณุช ุฎุทูˆุงุช ู„ู„ุดุบู„ ู‡ุฐุง ููŠ
2564
+
2565
+ 642
2566
+ 00:54:10,140 --> 00:54:14,340
2567
+ ุฃูŠ ุณุคุงู„ ุฌุงู„ู‡ ู…ุจุฏุฃ ููŠู‡ู…ุŸ
2568
+
2569
+ 643
2570
+ 00:54:14,340 --> 00:54:19,420
2571
+ ุฎู„ูˆู†ุง ุงู„ู„ูŠ ู‚ุงู„ ุฌุงูŠ ูˆู…ุงุฏูˆุดูƒูŠุด ุงูƒุชุฑ ู…ู† ู‡ูŠูƒ ุงุฐุง ุฎู„ูŠ
2572
+
2573
+ 644
2574
+ 00:54:19,420 --> 00:54:20,420
2575
+ ุจูƒุฑุง ู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
2576
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/BLE2JYtIUUg.srt ADDED
@@ -0,0 +1,1674 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:22,250
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู…
4
+
5
+ 2
6
+ 00:00:22,250 --> 00:00:24,090
7
+ ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:24,090 --> 00:00:24,410
11
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
12
+
13
+ 4
14
+ 00:00:24,410 --> 00:00:25,210
15
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
16
+
17
+ 5
18
+ 00:00:25,210 --> 00:00:25,590
19
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
20
+
21
+ 6
22
+ 00:00:25,590 --> 00:00:26,070
23
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
24
+
25
+ 7
26
+ 00:00:26,070 --> 00:00:26,170
27
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
28
+
29
+ 8
30
+ 00:00:26,170 --> 00:00:26,190
31
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
32
+
33
+ 9
34
+ 00:00:26,190 --> 00:00:29,330
35
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…
36
+
37
+ 10
38
+ 00:00:29,330 --> 00:00:36,810
39
+ ุจุณู…
40
+
41
+ 11
42
+ 00:00:36,810 --> 00:00:37,810
43
+ ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู†
44
+
45
+ 12
46
+ 00:00:37,810 --> 00:00:43,290
47
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญ
48
+
49
+ 13
50
+ 00:00:47,280 --> 00:00:49,700
51
+ ุฅูŠุด ุฃู†ุชู… ุนุงูŠุฒูŠู†ุŸ ุฃุนู†ูŠ ุงุฏูŠู†ูŠ ุณุคุงู„ ู…ุญุฏุฏ ุฃูุถู„ ุฅูŠู‡
52
+
53
+ 14
54
+ 00:00:49,700 --> 00:00:52,520
55
+ ุจู‚ู‰ ุฃูˆ ุฃู†ุง ู…ู…ูƒู† ุฃุจุฏุฃ ู…ู† ุงู„ุฃูˆู„ ู…ู† ุงู„ุฃูˆู„ .. ู…ู†
56
+
57
+ 15
58
+ 00:00:52,520 --> 00:00:58,680
59
+ ุงู„ุฃูˆู„ .. ูŠุนู†ูŠ practice ..
60
+
61
+ 16
62
+ 00:01:22,020 --> 00:01:29,160
63
+ ู…ุงุดูŠ ุจุดูˆู ูƒุฏู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ู„ุฃ ู‡ุจุฏุฃ question number
64
+
65
+ 17
66
+ 00:01:29,160 --> 00:01:35,230
67
+ one ุฃู†ุง ุจุฏูŠ ุฃู‚ุฑุฃ ุงู„ุณุคุงู„ ุฃูู‡ู…ูƒ ุงู„ู…ุนู†ู‰ ุชุจุนู‡ ุฃุนุฑููƒ
68
+
69
+ 18
70
+ 00:01:35,230 --> 00:01:38,290
71
+ ุฅูŠุด ุงู„ู€ keywords ุงู„ู„ูŠ ุงุญู†ุง ุนุงูŠุฒูŠู†ู‡ุง ูŠุนู†ูŠ ูƒู„ู…ุงุช
72
+
73
+ 19
74
+ 00:01:38,290 --> 00:01:42,310
75
+ ุงู„ู…ูุชุงุญูŠุฉ ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡ุง ุจุนุฑู ุงู„ุญู„ ูˆุจุนุฏูŠู† ุจู‚ุฏุฑ
76
+
77
+ 20
78
+ 00:01:42,310 --> 00:01:45,830
79
+ ุฃุดูŠู„ ุฅุฌุงุจุงุช ู…ุด ุตุญูŠุญุฉ ูˆ ุฃุชู…ู‘ ุนูŠุฏู†ูŠ ู…ู…ูƒู† ุฅุฌุงุจุฉ ุฃูˆ
80
+
81
+ 21
82
+ 00:01:45,830 --> 00:01:49,990
83
+ ุฅุซู†ุชูŠู† ู‡ู…ุง ุงู„ุตุญ ูุจุฎุชุงุฑ ุงู„ู€ correct answer ุงู„ู€ sample
84
+
85
+ 22
86
+ 00:01:49,990 --> 00:01:53,150
87
+ distribution describe distribution of ุงุญู†ุง ุฃุฎุฐู†ุง
88
+
89
+ 23
90
+ 00:01:53,150 --> 00:01:56,830
91
+ ู‚ุจู„ ู‡ูŠูƒ ุงู„ู€ sample distribution ุจูŠุนู…ู„ distribution
92
+
93
+ 24
94
+ 00:01:56,830 --> 00:02:02,670
95
+ ู„ู€ statistic ุงู…ุง ู‡ูŠูƒูˆู† ุงู„ู€ sample mean ุฃูˆ ุงู„ู€ sample
96
+
97
+ 25
98
+ 00:02:02,670 --> 00:02:05,970
99
+ of proportion ุฏูŠ ุดุฑุญ ุฎุจุท ุจูŠู†ู‡ ูˆุจูŠู† ุงู„ู€ hypothesis
100
+
101
+ 26
102
+ 00:02:05,970 --> 00:02:08,830
103
+ ุงู„ู€ hypothesis ุจูŠูƒูˆู† ุงู„ู€ claim about the population
104
+
105
+ 27
106
+ 00:02:08,830 --> 00:02:11,650
107
+ parameter ู‡ู†ุงูƒ ุฅุฐุง ุงู†ุชุดุฑุช ุชุณุนุฉ ูƒู„ู…ุงุช ุนู† ุงู„ู€
108
+
109
+ 28
110
+ 00:02:11,650 --> 00:02:14,450
111
+ population parameter ูŠุนู†ูŠ ุจุชูƒู„ู… ุนู† ุงู„ู€ ฮผ ูˆุนู†
112
+
113
+ 29
114
+ 00:02:14,450 --> 00:02:17,960
115
+ ุงู„ู€ ฯƒ ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุจุนุฉ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ
116
+
117
+ 30
118
+ 00:02:17,960 --> 00:02:21,960
119
+ ู…ุฌู…ูˆุนุฉ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ ู…ุฌู…ูˆุนุฉ
120
+
121
+ 31
122
+ 00:02:21,960 --> 00:02:33,320
123
+ ุงู„ุงุณุชุงุชุณุชูŠูƒ
124
+
125
+ 32
126
+ 00:02:42,000 --> 00:02:44,680
127
+ both parameters and statistics ุทุจุนุง ู„ุฃ ูุงู„ุชุงู„ูŠ
128
+
129
+ 33
130
+ 00:02:44,680 --> 00:02:48,060
131
+ correct answer is C ุฅุฐุง ุงู„ู€ first one C is correct
132
+
133
+ 34
134
+ 00:02:48,060 --> 00:02:53,180
135
+ I just want to double check if the answers I mean
136
+
137
+ 35
138
+ 00:02:53,180 --> 00:02:55,960
139
+ answer key is correct or not at the end of your
140
+
141
+ 36
142
+ 00:02:55,960 --> 00:02:59,440
143
+ book ุญู†ุชุฃูƒุฏ ุฅูŠู‡ ุจุณ ุตุญูŠุญ ูˆู„ุง ู„ุฃ ุงู„ู€ correct answer
144
+
145
+ 37
146
+ 00:02:59,440 --> 00:03:05,340
147
+ is C which is correct number two true or .. ุฅุฐุง
148
+
149
+ 38
150
+ 00:03:05,340 --> 00:03:10,840
151
+ one C number two true or false ุงู„ู€ Sample
152
+
153
+ 39
154
+ 00:03:10,840 --> 00:03:15,780
155
+ Distribution is defined as a probability
156
+
157
+ 40
158
+ 00:03:15,780 --> 00:03:20,020
159
+ distribution of sample sizes that can be observed
160
+
161
+ 41
162
+ 00:03:20,020 --> 00:03:27,780
163
+ from a given population ุฑู‚ู… ุงุชู†ูŠู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ู€
164
+
165
+ 42
166
+ 00:03:27,780 --> 00:03:29,940
167
+ Sample Distribution is defined as a probability
168
+
169
+ 43
170
+ 00:03:29,940 --> 00:03:34,260
171
+ distribution of possible sample sizes that can be
172
+
173
+ 44
174
+ 00:03:34,260 --> 00:03:38,250
175
+ observed ู‡ูˆ ุงู„ู€ Sample Distribution ุจูŠุนุทูŠ ุจูŠุนุทูŠู†ูŠ
176
+
177
+ 45
178
+ 00:03:38,250 --> 00:03:40,130
179
+ ุงู„ู€ mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ center ุจูŠุนุทูŠู†ูŠ ุงู„ู€ spread
180
+
181
+ 46
182
+ 00:03:40,130 --> 00:03:45,350
183
+ ุจูŠุนุทูŠู†ูŠ ุงู„ู€ shape ูุจุงู„ุชุงู„ูŠ ุฅู† ู‡ูˆ .. ู‡ูˆ ุจูŠุญูƒูŠ ุชุนุฑูŠูู‡
184
+
185
+ 47
186
+ 00:03:45,350 --> 00:03:48,870
187
+ ุนุจุงุฑุฉ ุนู† probability of distribution ุทุจุนุง ู„ุฃ ู‡ูˆ
188
+
189
+ 48
190
+ 00:03:48,870 --> 00:03:51,610
191
+ ุจูŠุนุทูŠ ุงู„ู€ center ุฃูˆ ุงู„ู€ spread ุฃูˆ ุงู„ู€ shape ูุจุงู„ุชุงู„ูŠ
192
+
193
+ 49
194
+ 00:03:51,610 --> 00:03:54,290
195
+ ุจูŠุนุทูŠุด probability ูƒู€ .. ู„ู…ุง ุจุญูƒูŠ ู„ูƒ ุงู„ู€ X bar ุจุณุงูˆูŠ
196
+
197
+ 50
198
+ 00:03:54,290 --> 00:03:57,570
199
+ ุฎู…ุณูŠู† ู‡ู„ ุจูŠุนุทูŠู†ูŠ probability ู„ุฃ ุฃุนุทุงู†ูŠ ุงู„ู€ center
200
+
201
+ 51
202
+ 00:03:57,570 --> 00:04:02,230
203
+ ุชุจุนู‡ุง ุจุณุงูˆูŠ ุฎู…ุณูŠู† ูˆุงุถุญุŸ ุฅุฐุง ู„ู…ุง ุจุญูƒูŠ sample
204
+
205
+ 52
206
+ 00:04:02,230 --> 00:04:06,440
207
+ distribution of X bar ุงู„ู‚ูŠู… ู‡ูˆ 16 ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู…
208
+
209
+ 53
210
+ 00:04:06,440 --> 00:04:09,600
211
+ ุงู„ุตุญูŠุญุฉ 10 ู…ุง ุฃุนุทุงู†ูŠุด ุงู„ุจุฑูˆุจุงุจู„ุชูŠ ุชุจุนู‡ุง ุชุนุทุงู†ูŠ ุงู„ู‚ูŠู…
212
+
213
+ 54
214
+ 00:04:09,600 --> 00:04:14,740
215
+ ู„ู„ู‚ูŠู… ุฃูˆ ุงู„ู‚ูŠู… ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ุดูƒู„ ู†ูุณู‡ุง ุฅุฐู† B is
216
+
217
+ 55
218
+ 00:04:14,740 --> 00:04:22,000
219
+ the correct answer ุฅุฐู† ุงุชู†ูŠู† B ุฑู‚ู… ุชู„ุงุชุฉ ุงู„ุชู„ุงุชุฉ
220
+
221
+ 56
222
+ 00:04:22,000 --> 00:04:24,640
223
+ ุจูŠุญูƒูŠ amount of time it takes to complete an
224
+
225
+ 57
226
+ 00:04:24,640 --> 00:04:29,090
227
+ examination has left skewed distribution ุงู„ุฒู…ู† ุงู„ู„ูŠ
228
+
229
+ 58
230
+ 00:04:29,090 --> 00:04:33,630
231
+ ู„ุงุฒู… ุนุดุงู† ุชุญุณุจ it takes to complete an examination
232
+
233
+ 59
234
+ 00:04:33,630 --> 00:04:38,630
235
+ ุชุฎู„ุต ุงู„ุงู…ุชุญุงู† ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ left skewedุŸ ุชูˆุฒูŠุน ู…ุด
236
+
237
+ 60
238
+ 00:04:38,630 --> 00:04:42,110
239
+ normal ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู„ูŠุดุŸ left skewed with a mean of
240
+
241
+ 61
242
+ 00:04:42,110 --> 00:04:46,290
243
+ 65 minutes and standard deviation of 8 minutes if
244
+
245
+ 62
246
+ 00:04:46,290 --> 00:04:49,950
247
+ 64 students were randomly sampled ุฃุฎุฐ ุนูŠู†ุฉ ูƒุจูŠุฑุฉ
248
+
249
+ 63
250
+ 00:04:49,950 --> 00:04:56,180
251
+ ูˆู„ุง ุตุบูŠุฑุฉุŸ ูƒุจูŠุฑุฉุŒ ุชุฐูƒุฑ ุงุญู†ุง ุญูƒูŠู†ุง ู„ู…ุง ุชูƒูˆู† ุนู†ุฏู‡ for
252
+
253
+ 64
254
+ 00:04:56,180 --> 00:04:59,540
255
+ most distributions ู„ู…ุง n is large, large enough it
256
+
257
+ 65
258
+ 00:04:59,540 --> 00:05:01,760
259
+ means greater than 30 then we can assume the
260
+
261
+ 66
262
+ 00:05:01,760 --> 00:05:04,600
263
+ population standard distribution of the standard
264
+
265
+ 67
266
+ 00:05:04,600 --> 00:05:08,140
267
+ mean is approximately normally distributed ู„ูˆ ูƒุงู†ุช
268
+
269
+ 68
270
+ 00:05:08,140 --> 00:05:11,420
271
+ N ุฃูƒุจุฑ ู…ู† 30 ูˆุญูƒูŠู†ุง for fair distribution ู„ูˆ ูƒุงู†ุช
272
+
273
+ 69
274
+ 00:05:11,420 --> 00:05:15,980
275
+ N ุฃูƒุจุฑ ู…ู† 15 ููˆุงุถุญ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู‡ left skewed ูˆ
276
+
277
+ 70
278
+ 00:05:15,980 --> 00:05:19,620
279
+ ุงู„ู€ sample size ุฃุฎุฏุช ู‚ุฏ ุฅูŠุดุŸ 64 ูŠุนู†ูŠ ุนุฏุงุฏู‡ุง ู‚ุฏ ุฅูŠุดุŸ more
280
+
281
+ 71
282
+ 00:05:19,620 --> 00:05:23,800
283
+ than 30 more than 30 ุฅุฐุง we are okay we are sample
284
+
285
+ 72
286
+ 00:05:23,800 --> 00:05:26,960
287
+ the probability that the sample mean of the sample
288
+
289
+ 73
290
+ 00:05:26,960 --> 00:05:30,740
291
+ distribution exceeds 71 minutes is approximately
292
+
293
+ 74
294
+ 00:05:30,740 --> 00:05:37,660
295
+ zero ูˆุงู„ู„ู‡ ู„ุฎุจุทู†ุง ู‡ูŠูƒ ูŠุนู†ูŠ ุฃู†ุง ูƒู†ุช ู‡ููƒุฑ ุณูˆุงุก ููŠ
296
+
297
+ 75
298
+ 00:05:37,660 --> 00:05:41,280
299
+ ุงุชุฌุงู‡ ุฅู†ู‡ ูŠู‚ูˆู„ ู„ูŠ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุทู„ู‚ ุจูŠุญูƒูŠ ู„ุฃ
300
+
301
+ 76
302
+ 00:05:41,280 --> 00:05:45,340
303
+ ู‡ูˆ ุนุงูŠุฒ ุงู„ู€ mean ู„ุญุธุฉ ู…ุด ุจูŠุญูƒูŠ ุฃู†ุง ู‡ุฐุง ู„ุฎุจุทูƒ ุฎุงุฑุฌ
304
+
305
+ 77
306
+ 00:05:45,340 --> 00:05:49,160
307
+ ุจุฏูˆู„ ุงู„ู€ probability ุจุชุฑูƒุฒ ููŠ ุงู„ุฃูˆู„ ุงู„ู€ X bar ุงู„ู„ูŠ ู‡ูˆ
308
+
309
+ 78
310
+ 00:05:49,160 --> 00:05:52,480
311
+ approximately normal ู…ุธุจูˆุทุŸ ู…ุชูู‚ูŠู† ุนู„ูŠู‡ุง normal
312
+
313
+ 79
314
+ 00:05:52,480 --> 00:05:57,660
315
+ distributed ู…ุชูู‚ูŠู† ุนู„ูŠู‡ุง ุจุณ ุญูƒุงู„ูŠ with mean ู‚ุฏ ุฅูŠุดุŸ
316
+
317
+ 80
318
+ 00:05:57,660 --> 00:06:06,980
319
+ 65 ู…ุธุจูˆุทุŸ ูˆ ุงู„ู€ ฯƒ ุทุจ ุฅูŠุด ูƒุงู† ุนุงูŠุฒุŸ ู„ุจุฑูˆุจุงุจู„ุชูŠ ุฅู†
320
+
321
+ 81
322
+ 00:06:06,980 --> 00:06:14,020
323
+ sample mean ู…ุงู„ูˆ ุฃูƒุจุฑ ู…ู† 71 ูˆู…ุง ุจูŠุญูƒูŠ ุงู„ุฌูˆุงุจ ุฅูŠุด
324
+
325
+ 82
326
+ 00:06:14,020 --> 00:06:21,800
327
+ ุจูŠุณุงูˆูŠ ุจูŠุชุฃูƒุฏ ู‡ู„ ุงู„ุฌูˆุงุจ ุจูŠุณุงูˆูŠ ุตูุฑ ูˆู„ุง ู„ุฃ ุจูŠุญู„
328
+
329
+ 83
330
+ 00:06:21,800 --> 00:06:25,180
331
+ ุงู„ู…ุซู„ุฉ ุฃู†ุง ุตุฑุช ู…ุด ุจุฑุญู„ ุงู„ู…ุซู„ุฉ ุฃู†ุง ูƒู†ุช ูุงูƒุฑ ุฃุญูƒูŠ
332
+
333
+ 84
334
+ 00:06:25,180 --> 00:06:30,800
335
+ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุจุญุงูˆู„ูŠ ุนู„ู‰ ุงู„ู€ Z ู…ุธุจูˆุท ุงู„ู€ Z
336
+
337
+ 85
338
+ 00:06:30,800 --> 00:06:37,430
339
+ ุฃูƒุจุฑ ู…ู† 71 minus the mean over sigma 8 ุนู„ู‰ square
340
+
341
+ 86
342
+ 00:06:37,430 --> 00:06:42,570
343
+ root ู„ู„ู€ N ุงู„ู€ N ู‚ุฏ ุฅูŠุดุŸ 64 ู‡ูˆ ุฃุนุทุงูƒ ุฅูŠุงู‡ุง ุนุดุงู† ุฃุนุฑู
344
+
345
+ 87
346
+ 00:06:42,570 --> 00:06:46,350
347
+ ุฃุทู„ุน ู…ูŠู†ุŸ ุขู‡ ุจุงู„ุธุจุท ุนุดุงู† ุฃุนุฑู ุฃุทู„ุน ุงู„ู€ square root
348
+
349
+ 88
350
+ 00:06:46,350 --> 00:06:54,430
351
+ ุชูƒูˆู† ู…ุซู„ุง ุจุฏูŠู‡ุงุด calculator ู‡ุฐุง ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ
352
+
353
+ 89
354
+ 00:06:54,430 --> 00:07:01,010
355
+ ู‡ุฏูˆู„ ุงู„ุจุตุด ู…ูˆุฌูˆุฏุŸ 6 ุจุนุฏูŠู† 8 ุนู„ู‰ 8 ู…ุด ู‡ูŠูƒ
356
+
357
+ 90
358
+ 00:07:01,010 --> 00:07:07,690
359
+ ูŠุนู†ูŠ ุจุฏูˆุฑ ุนู„ู‰ P of Z ุฃูƒุจุฑ ู…ู† 6 Z ุฃูƒุจุฑ ู…ู† 6 ุขู‡
360
+
361
+ 91
362
+ 00:07:07,690 --> 00:07:12,730
363
+ 1 ุจูŠุทู„ุน 1 ู†ู‚ุต 1 1 ู†ู‚ุต C ุขู‡ ู‡ุงูŠ ุงู„ู€ 6
364
+
365
+ 92
366
+ 00:07:12,730 --> 00:07:18,600
367
+ ุงู„ู€ 6 ูˆูŠู† ุงู„ู€ white side ุนู„ู‰ ููˆู‚ ุงู„ุนู„ุจูŠุฉ ุงู„ู€ tab
368
+
369
+ 93
370
+ 00:07:18,600 --> 00:07:21,740
371
+ ุงู„ู…ุนุทู‰ ุงู„ู€ area ู„ูˆูŠู†ุŸ to the left ุทุจุนุง Z ุงู„ู€ area to
372
+
373
+ 94
374
+ 00:07:21,740 --> 00:07:25,680
375
+ the left sideุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง this equals 1 minus P
376
+
377
+ 95
378
+ 00:07:25,680 --> 00:07:31,760
379
+ of Z less than 6 ุงู„ู€ tab ุงู„ู…ุนุทุงู†ูŠ ู„ุบุงูŠุฉ 3.4 ูˆ ุฌูˆุง
380
+
381
+ 96
382
+ 00:07:31,760 --> 00:07:38,000
383
+ ูƒุงู† .9998 ููŠ ุงู„ุขุฎุฑุŒ ุฅุฐุง ุชู‚ุฑูŠุจุง 1ุŒ ุฅุฐุง ู‡ุฐู‡ 1ุŒ
384
+
385
+ 97
386
+ 00:07:38,000 --> 00:07:41,440
387
+ ุฅุฐุง ุงู„ุฌุงู…ุนุฉ ู…ุด ุณุงูˆูŠุŒ ูŠุนู†ูŠ ุงู„ุฌุงู…ุนุฉ ุตุญุŒ ู„ุงุญุธุฉ ุฃู†ุง
388
+
389
+ 98
390
+ 00:07:41,440 --> 00:07:44,940
391
+ ุญู„ุช ุงู„ู…ุซู„ ุงุณุชุฎุฏู…ุช calculator ูˆู„ุง ุงุณุชุฎุฏุงู… ุงู„ู€ table
392
+
393
+ 99
394
+ 00:07:44,940 --> 00:07:47,980
395
+ ู‡ุงูŠ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒ ุฃูˆุตู„ ู„ูƒ ุฅูŠุงู‡ุง ูŠุนู†ูŠ ุจู…ู…ูƒู† ุฃุญู„ูŠ ู…ุซู„ุง
396
+
397
+ 100
398
+ 00:07:47,980 --> 00:07:53,020
399
+ .. ุทุจ ู‡ูˆ ู…ุด .. ู…ุด ู‡ูŠูƒ ู‡ุช .. ู‡ุชุงูƒู„ in 64 ุนุดุงู† ุชูƒูˆู†
400
+
401
+ 101
402
+ 00:07:53,020 --> 00:07:58,920
403
+ ุงู„ู€ calculations ู…ุงู„ู‡ุงุŒ ุชูƒูˆู† ุงู„ุญุณุงุจุงุช ู…ุงู„ู‡ุงุŒ ุณู‡ู„ุฉุŒ
404
+
405
+ 102
406
+ 00:07:58,920 --> 00:08:04,660
407
+ ุฅุฐุง ุฃู†ุง ุฅูŠุด ุฌูˆุงุจุŸ true ุฅุฐุงู‹ ุชู„ุงุชุฉ ุงู„ู€ answer is A
408
+
409
+ 103
410
+ 00:08:04,660 --> 00:08:09,860
411
+ ูˆุงุถุญ ุงู„ููƒุฑุฉ ุฅุฐุง ุงู„ู…ุซู„ุฉ ุจูŠุญูƒูŠู„ูƒ ุญู„ ู…ุณุฃู„ุฉ X bar
412
+
413
+ 104
414
+ 00:08:09,860 --> 00:08:16,160
415
+ ุฃูƒุจุฑ ู…ู† 71 ุญู„ุชู‡ุง ุจู€ steps ุตุบูŠุฑุฉ ุทู„ุนุช ุฌูˆุงุจ ุชู‚ุฑูŠุจุง ุจู€
416
+
417
+ 105
418
+ 00:08:16,160 --> 00:08:20,500
419
+ 0.00 ูุจุฏูŠ ูˆุงุญุฏุฉ ู…ู†ูƒู… ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุชุทู„ุน
420
+
421
+ 106
422
+ 00:08:20,500 --> 00:08:25,280
423
+ ุงู„ุฌูˆุงุจ ุบู„ุท ูŠุนู†ูŠ ุบูŠุฑ ุงู„ู…ุซู„ equal one ู…ู…ูƒู†
424
+
425
+ 107
426
+ 00:08:25,280 --> 00:08:29,260
427
+ approximately ู…ุซู„ุง ุขู‡ equal one ุขู‡ ุทุจุนุง ู„ุฃ ู‡ูŠ ุงู„ู€
428
+
429
+ 108
430
+ 00:08:29,260 --> 00:08:32,740
431
+ equal one ู‡ุฐู‡ ู„ุฃู‚ู„ ู…ู† 6 equal one ุขู‡ ู„ุฃู‚ู„ ู„ุฃู‚ู„
432
+
433
+ 109
434
+ 00:08:32,740 --> 00:08:37,340
435
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
436
+
437
+ 110
438
+ 00:08:37,340 --> 00:08:39,760
439
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
440
+
441
+ 111
442
+ 00:08:39,760 --> 00:08:42,420
443
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
444
+
445
+ 112
446
+ 00:08:42,420 --> 00:08:43,500
447
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
448
+
449
+ 113
450
+ 00:08:43,500 --> 00:08:50,320
451
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
452
+
453
+ 114
454
+ 00:08:50,320 --> 00:08:51,120
455
+ ู„ุฃู‚
456
+
457
+ 115
458
+ 00:08:54,130 --> 00:09:01,890
459
+ ุฎู„ุตู†ุง ุชู„ุงุชุฉ ุฅูŠู‡ุŸ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุฅูŠู‡ ุงู„ุชู„ุงุชุฉ ุฅูŠู‡ุŸ ุฑู‚ู…
460
+
461
+ 116
462
+ 00:09:01,890 --> 00:09:10,550
463
+ ุฃุฑุจุนุฉ The
464
+
465
+ 117
466
+ 00:09:10,550 --> 00:09:15,110
467
+ distribution of the number of loaves of bread sold
468
+
469
+ 118
470
+ 00:09:15,110 --> 00:09:19,590
471
+ per week by a large bakery over the past five years
472
+
473
+ 119
474
+ 00:09:19,590 --> 00:09:28,670
475
+ has a mean of 7750 ู‡ุงูŠ ุงู„ู€ mean ูˆุตูุฉ
476
+
477
+ 120
478
+ 00:09:28,670 --> 00:09:32,830
479
+ ุงู„ุดู…ุณ 1450
480
+
481
+ 121
482
+ 00:09:32,830 --> 00:09:39,370
483
+ ู…ุฆุฉ ูˆุฎู…ุณุฉ ูˆุฃุฑุจุนูŠู† ุฅุฐุง
484
+
485
+ 122
486
+ 00:09:39,370 --> 00:09:44,830
487
+ ูƒุงู†ุช ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ Has been
488
+
489
+ 123
490
+ 00:09:44,830 --> 00:09:48,810
491
+ selected what's the approximate probability that
492
+
493
+ 124
494
+ 00:09:48,810 --> 00:09:52,230
495
+ the mean number of loaves sold in the sample
496
+
497
+ 125
498
+ 00:09:52,230 --> 00:09:59,350
499
+ sealed ู‡ูˆ ุจุญูƒูŠ ุฅูŠุด ุงู„ู€ mean ุฎู„ูŠ ุจุงู„ูƒ is an X bar
500
+
501
+ 126
502
+ 00:09:59,350 --> 00:10:04,930
503
+ ุฃูƒุจุฑ ู…ู† seven thousand eight hundred ninety five
504
+
505
+ 127
506
+ 00:10:04,930 --> 00:10:08,430
507
+ ุจุฏูˆุง ุงู„ู€ mean ุฅูŠุด ุจูŠุณุงูˆูŠ ู†ูุณ ุงู„ุณุคุงู„ ุฏู‡ ุจุงู„ุธุจุท
508
+
509
+ 128
510
+ 00:10:08,430 --> 00:10:09,370
511
+ ุญุงูˆู„ูˆุง ู„ู„ู€ Z
512
+
513
+ 129
514
+ 00:10:14,740 --> 00:10:26,540
515
+ minus ุงู„ู€ mean ุนู„ู‰ ุงู„ู€ sigma over 40 ุจุชุญู„ูŠู‡ุง ูˆ
516
+
517
+ 130
518
+ 00:10:26,540 --> 00:10:29,560
519
+ ุจุชุชุฃูƒุฏ ู…ู† ุงู„ุฌูˆุงุจ ุฅู† ููŠ ุฌู‡ุฉ ุฏู‡ ูˆู‚ุช ููŠู‡ุง ู…ุด ู‡ูŠูƒ ู†ูุณูƒ
520
+
521
+ 131
522
+ 00:10:29,560 --> 00:10:35,860
523
+ ุชููƒุฑู‡ ุนุดุงู† ุถูŠู‚ุฉ ูˆ ุจูŠุญูƒูŠ ุงู„ุฌูˆุงุจ ู†ุนู… ุจุชู„ุนุจ ุตุญูŠุญ ุฅุฐุง
524
+
525
+ 132
526
+ 00:10:35,860 --> 00:10:39,660
527
+ ุนุงูŠุฒูƒ ุงู„ู€ base ุจุณ ุชู€ check this result ุจุชุฃูƒุฏ ู…ู†ู‡ุง
528
+
529
+ 133
530
+ 00:10:39,660 --> 00:10:43,970
531
+ ุจุชุฃูƒุฏ ุงู„ุญู„ ุตุญ ูˆู„ุง ู„ุฃ ุฅุฐุง ูˆุงุถุญ ู†ูุณ ุงู„ู€ secret ุงู„ุณุคุงู„
532
+
533
+ 134
534
+ 00:10:43,970 --> 00:10:54,490
535
+ ุชู„ุงุชุฉ ู…ุงุดูŠ ุจุณ ุฃู‚ุฑุฃ ุฎู…ุณุฉ ุฎู…ุณุฉ major league baseball
536
+
537
+ 135
538
+ 00:10:54,490 --> 00:11:04,530
539
+ salaries average 3.26 million ุจูŠุชูƒู„ู… ุนู„ู‰ ู…ูŠู†ุŸ ุจูŠุชูƒู„ู…
540
+
541
+ 136
542
+ 00:11:04,530 --> 00:11:08,230
543
+ ุนู„ู‰ ุฑูˆุงุชุจ ุชุจุนูˆู† ุงู„ู€ .. ุงู„ู€ baseball ุฅุฐุง ุฏูˆู„ ุฑูˆุงุชุจู‡ู…
544
+
545
+ 137
546
+ 00:11:08,230 --> 00:11:12,450
547
+ ุถุฎู…ุฉ ูŠุนู†ูŠ ู„ูˆ ุฃุชุนู„ู… ู„ุนุจุฉ ุฒูŠ ู‡ูŠูƒ ูˆ ู†ูุณ ุงู„ู€ statistics
548
+
549
+ 138
550
+ 00:11:12,450 --> 00:11:17,510
551
+ ูƒุงู† ุฃุญุณู† ู…ุธุจูˆุทุŸ ู‡ูˆ ุจูŠุญูƒูŠ ุฑูˆุงุชุจ ู‚ุฏ ุฅูŠุดุŸ 3.26 million
552
+
553
+ 139
554
+ 00:11:17,510 --> 00:11:22,150
555
+ with standard deviation of 1.2 suppose a sample of
556
+
557
+ 140
558
+ 00:11:22,150 --> 00:11:27,230
559
+ 100 funds approximate ู†ูุณ ุงู„ู‚ุตุฉุŒ ุฅุฐุง ุงู„ู€ ุฎู…ุณุฉ
560
+
561
+ 141
562
+ 00:11:27,230 --> 00:11:34,850
563
+ similar ูˆุงุถุญุŸ ุฎู…ุณุฉ ุฒูŠ ูˆ ุชุดุฌุน ู†ุถุงูŠู‚ ูˆู‚ุช ูˆุฎู…ุณุฉ ุฌูˆุงุจ
564
+
565
+ 142
566
+ 00:11:34,850 --> 00:11:36,250
567
+ ุฏูŠุŒ 6
568
+
569
+ 143
570
+ 00:11:39,150 --> 00:11:43,870
571
+ ุฎู…ุณุฉ ูˆุณุชุฉ ู…ุซู„ู‹ุง
572
+
573
+ 144
574
+ 00:11:43,870 --> 00:11:48,490
575
+ ุฎู…ุณุฉ
576
+
577
+ 145
578
+ 00:11:48,490 --> 00:11:52,790
579
+ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง ุฎู…ุณุฉ ูˆุณุชุฉ ู…ุซู„ู‹ุง
580
+
581
+ 146
582
+ 00:12:08,580 --> 00:12:12,940
583
+ At a computer manufacturing company ุจุชูƒู„ู… ุนู„ู‰ ุดุฑูƒุฉ
584
+
585
+ 147
586
+ 00:12:12,940 --> 00:12:17,200
587
+ ุตู†ุงุนุฉ ุงู„ุญูˆุงุณูŠุจ The actual size of computer chips
588
+
589
+ 148
590
+ 00:12:17,200 --> 00:12:21,440
591
+ is normally distributed of a mean with a mean of
592
+
593
+ 149
594
+ 00:12:21,440 --> 00:12:29,060
595
+ 1 centimeter ุงู„ู€ mean 1 and standard deviation
596
+
597
+ 150
598
+ 00:12:29,060 --> 00:12:34,380
599
+ of .1 a random sample of 12
600
+
601
+ 151
602
+ 00:12:37,080 --> 00:12:41,500
603
+ in equal 12 ูˆู„ุญุธุฉ ูˆุญูƒู‰ ููŠ ุงู„ุฃุตู„ ุนู†ุฏูŠ ุชูˆุฒูŠุน
604
+
605
+ 152
606
+ 00:12:41,500 --> 00:12:44,620
607
+ ุทุจูŠุนูŠ ู…ุด ู‡ูŠูƒ ุนู„ุดุงู† ูƒุฏู‡ ุฃู†ุช normal ู„ุฃู† ุงู„ู€ n is
608
+
609
+ 153
610
+ 00:12:44,620 --> 00:12:47,840
611
+ small in this case to solve the problem we have to
612
+
613
+ 154
614
+ 00:12:47,840 --> 00:12:50,280
615
+ assume the population is normal otherwise you
616
+
617
+ 155
618
+ 00:12:50,280 --> 00:12:56,180
619
+ can't continue because we in chapter seven we are
620
+
621
+ 156
622
+ 00:12:56,180 --> 00:13:00,510
623
+ talking about if n is large enough then the sample
624
+
625
+ 157
626
+ 00:13:00,510 --> 00:13:03,590
627
+ sizes doesn't matter ู…ุด ู…ุดูƒู„ุฉ ุญุฌู… ุงู„ุนูŠู†ุฉ ู„ูƒู† ู„ู…ุง
628
+
629
+ 158
630
+ 00:13:03,590 --> 00:13:07,810
631
+ ุชูƒูˆู† n ุตุบูŠุฑุฉ ุงู„ู€ sample size ุจูŠูƒูˆู† ู…ู‡ู… ุฅุฐุง ุงู„ุญูƒุงูŠุฉ
632
+
633
+ 159
634
+ 00:13:07,810 --> 00:13:12,010
635
+ ุชุญูƒูŠ ู„ูŠ ุทุจูŠุนูŠ ุจุชุฑูŠุญูƒ n equal to 12 ูˆ ุจุตุฏุฑ
636
+
637
+ 160
638
+ 00:13:12,010 --> 00:13:15,970
639
+ ุจุฑู†ุงู…ุฌ ุงู„ู€ ุงู„ู€ sample mean will be below ุงู„ู€ mean
640
+
641
+ 161
642
+ 00:13:15,970 --> 00:13:22,150
643
+ will be below .95 ุจู†ูุณ
644
+
645
+ 162
646
+ 00:13:22,150 --> 00:13:27,830
647
+ ุงู„ููƒุฑุฉ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุญุงู„ุฉ ุชุจู‚ู‰ ุจุญุงูˆู„ ู„ุฒูŠูƒู„ู‡ู… minus
648
+
649
+ 163
650
+ 00:13:27,830 --> 00:13:33,030
651
+ 1 minus 1 ูˆุนู„ู‰ ุงู„ู€ sigma over square root of
652
+
653
+ 164
654
+ 00:13:33,030 --> 00:13:37,530
655
+ 12 ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ูุงุชุช ููŠ ุงู„ุณุคุงู„ ุงู„ุณุงุจุน
656
+
657
+ 165
658
+ 00:13:37,530 --> 00:13:42,250
659
+ ุงู„ุฌูˆุงุจ ุชุจุนู‡ ุณุงู„ุจ ู‡ุงู†ุจูˆู†ุช ุงู„ู„ู‡ ูŠุณุงู…ุญู†ูŠุŒ ู…ูŠู† ุญูƒุช
660
+
661
+ 166
662
+ 00:13:42,250 --> 00:13:46,710
663
+ ุณุงู„ุจุŸ ุณุงู„ุจุŸ ูƒุงู†ุช ุนุฒุฉุŸ ู…ุด ุฏูˆุฑุงุจูŠู„ุฉ ุณุงู„ุจุŒ ุฃู†ุช
664
+
665
+ 167
666
+ 00:13:46,710 --> 00:13:55,610
667
+ ุนุฒุฉุŸ ุขู‡ ุขู‡ ุขู‡ ุขู‡ ุฃู†ุง ู…ุง ุจุญูƒูŠ ุฌูˆุงุจู‡ ุจุณุงูˆูŠ ูƒู„ู‡ุงุŒ ูƒุฏู‡
668
+
669
+ 168
670
+ 00:13:55,610 --> 00:14:02,150
671
+ ุฃู‚ู„ ู…ู† ุงู„ุณู†ุฉ ุชู‚ุฑูŠุจุง zero ุฃู†ุง ุณุคุงู„ ุฅูŠุดุŸ zero 4
672
+
673
+ 169
674
+ 00:14:02,150 --> 00:14:07,950
675
+ ูˆุงุญุฏ ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ุดูˆู ุฏุงุฆู…ุง ุงู„ู€ probability positive
676
+
677
+ 170
678
+ 00:14:07,950 --> 00:14:09,930
679
+ between zero and one ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุจุญู„ ู…ุซู„ุง ุทู„ุนุช
680
+
681
+ 171
682
+ 00:14:09,930 --> 00:14:13,250
683
+ negative ู…ุซู„ุง ุงู„ู„ูŠ ุฌุงุจุช ุบู„ุท ู„ูˆ ุทู„ุนุช ุฃูƒุซุฑ ู…ู† 1
684
+
685
+ 172
686
+ 00:14:13,250 --> 00:14:16,330
687
+ ุงู„ู„ูŠ ุฌุงุจุช ุจุฑุถู‡ ุบู„ุท ู„ุงุฒู… ุชูƒูˆู† between zero and one
688
+
689
+ 173
690
+ 00:14:16,330 --> 00:14:17,810
691
+ ุณุคุงู„ 8
692
+
693
+ 174
694
+ 00:14:25,260 --> 00:14:28,980
695
+ ุงู„ุชู…ุงู†ูŠุฉ ุจูŠุญูƒูŠ the owner of a fish market has an
696
+
697
+ 175
698
+ 00:14:28,980 --> 00:14:36,420
699
+ assistant ุจูŠุญูƒูŠ owner ู„ู€ fish market ุตุงุญุจ ู…ุญู„ ู„ุจูŠุน
700
+
701
+ 176
702
+ 00:14:36,420 --> 00:14:41,980
703
+ ุงู„ุฃุณู…ุงูƒ has assistant who has determined that the
704
+
705
+ 177
706
+ 00:14:41,980 --> 00:14:45,620
707
+ weights of catfish are normally distributed with a
708
+
709
+ 178
710
+ 00:14:45,620 --> 00:14:47,240
711
+ mean of 3.2
712
+
713
+ 179
714
+ 00:14:50,800 --> 00:14:57,880
715
+ mean of 3.2 pound and standard deviation of 0.8 if
716
+
717
+ 180
718
+ 00:14:57,880 --> 00:15:02,340
719
+ a sample of 64 fish yields ุฃุช
720
+
721
+ 216
722
+ 00:17:55,980 --> 00:18:01,260
723
+ ุชุฃูƒุฏ ู„ูˆ ุญุงุทุทู„ูƒ ุฅุฌุงุจุงุช ุซู„ุงุซุฉ ุจุชูƒูˆู† ูˆุงุญุฏุฉ ู…ู†
724
+
725
+ 217
726
+ 00:18:01,260 --> 00:18:05,360
727
+ ุงู„ุฃุฎุทุงุก ู…ู…ูƒู† ุฃู‚ุน ููŠู‡ุง ู‡ู†ุง ูŠุนู†ูŠ ุฃูŠ ุญุงุฌุฉ ุบู„ุทุช ุงู„ุญุณุงุจ
728
+
729
+ 218
730
+ 00:18:05,360 --> 00:18:10,440
731
+ ู‡ูŠุทู„ุนู„ูƒ ูˆุงุญุฏุฉ ู…ู† ู‡ุฏูˆู„ ูุงู†ุช ุฑูƒุฒูŠ ุดูˆูŠุฉ ุณุคุงู„ ุชุณุนุฉ
732
+
733
+ 219
734
+ 00:18:13,730 --> 00:18:17,990
735
+ true or false if the amount of gasoline purchased
736
+
737
+ 220
738
+ 00:18:17,990 --> 00:18:22,110
739
+ per car at large surface stations has a population
740
+
741
+ 221
742
+ 00:18:22,110 --> 00:18:28,090
743
+ of 15 gallons and a population deviation of 4
744
+
745
+ 222
746
+ 00:18:28,090 --> 00:18:36,410
747
+ gallons then 99.73% of all cars
748
+
749
+ 223
750
+ 00:18:44,460 --> 00:18:49,240
751
+ ูˆุงู„ุจุฑุด is between 3 and 27 gallons ุงู‡ ุจุฏู†ุง ู†ุญู„ู‡ุง
752
+
753
+ 224
754
+ 00:18:49,240 --> 00:18:55,660
755
+ ุฃู†ุง ุจุฏูŠ ุฃุญุฏ ูŠุญู„ ุงู„ุฃุณุฆู„ุฉ ุจุชุฐูƒุฑูˆุง ุงู„ empirical rule ุงู„
756
+
757
+ 225
758
+ 00:18:55,660 --> 00:19:01,660
759
+ empirical rule ูƒุงู† ูŠุญูƒูŠ ุฅูŠุด ูƒุงู† 68%ุŒ 95%ุŒ 99.7% of the
760
+
761
+ 226
762
+ 00:19:01,660 --> 00:19:07,780
763
+ data will fall within the last within three standard
764
+
765
+ 227
766
+ 00:19:07,780 --> 00:19:12,020
767
+ deviations of the population mean ุจุณ ู‡ู†ุง ุฃู†ุง ุนู†ุฏูŠ
768
+
769
+ 228
770
+ 00:19:12,020 --> 00:19:19,170
771
+ ุจุชูƒู„ู…ุด ุนู„ู‰ ุงู„ู€ ..ุนู„ู‰ ุงู„ู€ X ุจุงุฑ ูƒู†ุง ู†ุญูƒูŠ ุงุญู†ุง ุฅูŠุด ู„ูˆ ุงู„
772
+
773
+ 229
774
+ 00:19:19,170 --> 00:19:24,210
775
+ ู…ูŠูˆ ู…ุงูŠู†ุณ ุซุฑูŠ ุณูŠุฌู…ุง ูˆู…ูŠูˆ ุจู„ุณ ุซุฑูŠ ุณูŠุฌู…ุงุŒ ู…ุธุจูˆุทุŸ ุจุณ
776
+
777
+ 230
778
+ 00:19:24,210 --> 00:19:30,010
779
+ ุฏู‡ ู…ุด ุณูŠุฌู…ุง ุงู„ุนุงุฏูŠุฉุŒ ุจุญูƒูŠ ุนู„ู‰ ุงู„ู€ X ุจุงุฑ ุงู„ู„ูŠ
780
+
781
+ 231
782
+ 00:19:30,010 --> 00:19:32,370
783
+ ุฃู†ุช ู„ุงุญุธุช ุจูŠุญูƒูŠ ู‡ูˆ ุงู„ probability of obtaining
784
+
785
+ 232
786
+ 00:19:32,370 --> 00:19:36,790
787
+ a sample mean or smaller then 99.7% of all cars will
788
+
789
+ 233
790
+ 00:19:36,790 --> 00:19:44,280
791
+ purchase between 3 ูˆ 27 ูˆู‡ู†ุง ุฃุนุทุงู†ูŠ ุฅูŠุดุŸ ู‡ุงูŠ ุงู„ุฎู…ุณุชุงุดุฑ
792
+
793
+ 234
794
+ 00:19:44,280 --> 00:19:49,500
795
+ ู‡ุฏูˆู„ ู…ูŠู† ุชุจุนู‡ู… ุฅุฐุง ุนู†ุฏูŠ ุฃู…ุง ุงุญู†ุง ุจุฏูŠ ุงุญู„ู‡ุง ู…ูŠูˆ
796
+
797
+ 235
798
+ 00:19:49,500 --> 00:19:53,200
799
+ ู…ุงูŠู†ุณ ุซุฑูŠ ุณูŠุฌู…ุง ู…ูŠูˆ ุจู„ุณ ุซุฑูŠ ุณูŠุฌู…ุง ุฎู„ูŠู†ูŠ ุฃุจุฏุฃ
800
+
801
+ 236
802
+ 00:19:53,200 --> 00:20:01,440
803
+ ุจุงู„ุซุงู†ูŠ ูŠุนู†ูŠ ุงู„ู…ูŠู† ุฅูŠุด ุจูŠุณุงูˆูŠุŸ ุงู„ู…ูŠู† ุฎู…ุณุฉ ุนุดุฑุŸ ูƒุฏู‡ุŸ
804
+
805
+ 237
806
+ 00:20:01,440 --> 00:20:05,800
807
+ ุฎู„ูŠู†ูŠ ุงุญู„ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูŠู† ู‚ุฏุงุดุŸ ู†ู‚ุต ุซู„ุงุซุฉ ููŠ ุฃุฑุจุนุฉ
808
+
809
+ 238
810
+ 00:20:05,800 --> 00:20:10,510
811
+ ู…ุด ู‡ูŠูƒุŸ ูˆุฎู…ุณุฉ ุนุดุฑ ุฒูŠ ุซู„ุงุซุฉ ููŠ ุฃุฑุจุนุฉ ู…ุด ุจูŠุทู„ุน ุงู„ุฌูˆุงุจ
812
+
813
+ 239
814
+ 00:20:10,510 --> 00:20:15,870
815
+ ู‡ู†ุง ุซู„ุงุซุฉ ุฃูˆ ู‡ู†ุง ุฅุฐุง
816
+
817
+ 240
818
+ 00:20:15,870 --> 00:20:19,250
819
+ ุจูŠุทู„ุน ู…ู† ู‡ู†ุง ุฅู„ู‰ ุฃูŠู†ุŸ ู…ู† ุงู„ุซู„ุงุซุฉ ู„ุบุงูŠุฉ ุงู„ุณุจุน
820
+
821
+ 241
822
+ 00:20:19,250 --> 00:20:25,570
823
+ ูˆุนุดุฑูŠู† ุณุจุนูŠู† ู…ู…ูƒู† ู‡ุฐู‡ ู†ุญูŠู„ู‡ุง ุนู„ู‰ ุงู„ probability
824
+
825
+ 242
826
+ 00:20:25,570 --> 00:20:27,150
827
+ ุงู„ุนุงุฏูŠุฉ ุงู‡ ู…ู…ูƒู† ุชุญูŠู„ู‡ุง ุนู„ู‰ ุงู„ probability ุงู„ุนุงุฏูŠุฉ
828
+
829
+ 243
830
+ 00:20:27,150 --> 00:20:34,530
831
+ ุงู„ุฌูˆุงุจ ุทู„ุน ุนู„ู‰ ู‡ุฐู‡ ู‡ู†ุง ูุงู„ุฌูˆุงุจ ูƒุฏู‡ุŸ ุซู„ุงุซุฉ ู„ุณุจุน
832
+
833
+ 244
834
+ 00:20:34,530 --> 00:20:40,130
835
+ ูˆุนุดุฑูŠู† ู‡ุฐุง ุงู„ุณุคุงู„ ูƒุฏู‡ุŸ ุณุคุงู„ ุชุณุนุฉ ูˆุชุณุนูŠู† ู„ูˆ ุทู„ุนุช ุนู„ู‰
836
+
837
+ 245
838
+ 00:20:40,130 --> 00:20:43,670
839
+ ุงู„ูƒุชุงุจ ุจูŠุญูƒูŠู„ูŠ ุฌูˆุงุจ false ุทูŠุจ ู‡ูˆ ุจูŠุทู„ุน ู†ูุณ ุงู„ุฌูˆุงุจ
840
+
841
+ 246
842
+ 00:20:43,670 --> 00:20:48,550
843
+ ู…ุน ูƒุฏู‡ ุงู„ูƒู„ุงู… ู…ุด ุตุญ ุงู„ู„ูŠ ุฃู†ุง ุนู…ู„ุชู‡ ู„ูŠุดุŸ ู‡ูˆ ุจูŠุชูƒู„ู…ุด
844
+
845
+ 247
846
+ 00:20:48,550 --> 00:20:51,490
847
+ ุนู„ู‰ ุงู„ู€ ..ุนู„ู‰ ุงู„ู€ except ูƒู„ุงู… ุนู„ู‰ ุงู„ู€ except
848
+
849
+ 248
850
+ 00:20:51,490 --> 00:20:56,750
851
+ ูุจุงู„ุชุงู„ูŠ ุฅูŠุด ู‡ุชุตูŠุฑุŸ ุบู„ุท ู‡ุฐุง ุบู„ุท ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ุด ุตุญ
852
+
853
+ 249
854
+ 00:20:56,750 --> 00:21:01,710
855
+ ุงู‡ ูŠุนู†ูŠ ุงุญู†ุง ุงู„ุตุญูŠุญ ุฅูŠู‡ุŸ ู„ุฃู† ู†ุทู„ุน ุงู„ู€ .. ุงู„ sigma x
856
+
857
+ 250
858
+ 00:21:01,710 --> 00:21:06,130
859
+ ุจุงุฑ ู…ุงูŠุด ุจุงู„ุณุงูˆูŠุฉ ุงู‡ ุทุจุนุง ุตุญ ุฃู†ุง ุทุจุนุง ุทุจุนุง ุฃู†ุง ุทุจุนุง
860
+
861
+ 251
862
+ 00:21:06,130 --> 00:21:12,000
863
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุงู„ุขู† ู…ุด ู…ุชุณุงูˆู‰ ููŠ ุงู„ู…ุซุงู„ ุงู„ุขู†
864
+
865
+ 252
866
+ 00:21:12,000 --> 00:21:18,700
867
+ ุฎู„ุงุต ู‡ู„ ููŠ ุงู† ู…ูˆุฌูˆุฏุŸ ู„ุง ู…ุง ุฃุนุฑู ุฃูƒูŠุฏ ู…ุด ู‡ู‚ุฏุฑ ุงุญู„ ู‡ุฐู‡
868
+
869
+ 253
870
+ 00:21:18,700 --> 00:21:22,700
871
+ ุทูŠุจ ุฅุฐุง ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒุงู„ูŠู‡ ุตุญ ูˆู„ุง ุบู„ุทุŸ
872
+
873
+ 254
874
+ 00:21:22,700 --> 00:21:26,600
875
+ ุบู„ุท ู‡ู„ ุจุชู‚ุฏุฑ ุฃู†ุช ุงู„ุขู† ุชุญู„ ุงู„ู…ุซุงู„ ุจุงู„ู‚ูˆุงู†ูŠู†
876
+
877
+ 255
878
+ 00:21:26,600 --> 00:21:31,900
879
+ ุงู„ุนุงุฏูŠุฉุŸ ู„ุง ู…ุณุชุญูŠู„ ู…ุด ู‡ู‚ุฏุฑ ุงุญู„ ู‡ุฐู‡ ุงู„ูƒู„ุงู…ุŸ ุฃูŠ
880
+
881
+ 256
882
+ 00:21:31,900 --> 00:21:37,640
883
+ probabilityุŸ
884
+
885
+ 257
886
+ 00:21:39,170 --> 00:21:46,670
887
+ ุงู„ู„ูŠ ุฃู†ุง ุจุชุทู„ุน ุงู„ probability ู„ู…ูŠู†ุŸ ู„ู„ู€ X ูŠุนู†ูŠุŸ
888
+
889
+ 258
890
+ 00:21:46,670 --> 00:21:55,890
891
+ ุตุญ ุทู„ุนู†ุงู‡ุง ุงู‡ ุตุญ ููƒุฑู†ุง ู…ุด ููƒุฑู†ุง ุบู„ุท ุฅุฐุง ุงู„ุฌูˆุงุจ ุบู„ุท ู„ุฃู†
892
+
893
+ 259
894
+ 00:21:55,890 --> 00:21:58,390
895
+ ุงู„ุทู„ุงู‚ ู‡ูŠ ูƒุชุงุจุชุงู† ูŠุนู…ู„ ูŠุนู†ูŠ ุจูŠุตูŠุฑ ุงู„ probability
896
+
897
+ 260
898
+ 00:21:58,390 --> 00:22:06,330
899
+ ุซู„ุงุซุฉ ุฃู‚ู„ ู…ู† X ุฃู‚ู„ ู…ู† 27 ุจูŠุตูŠุฑ ุซู„ุงุซุฉ ู†ู‚ุต ู„ู…ูŠู†ุŸ
900
+
901
+ 261
902
+ 00:22:08,550 --> 00:22:11,910
903
+ ุนู„ู‰ ุงู„ู€ Sigma ู‡ุฐุง ุฅูŠุดุŸ ุฎู„ูŠ ุจุงู„ูƒ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ..
904
+
905
+ 262
906
+ 00:22:11,910 --> 00:22:18,950
907
+ ุงู„ุฌูˆุงุจ ุจุชุทู„ุน 0.993 Sigma ุดูˆ ุชุณุงูˆูŠุŸ ุฃุฑุจุนุฉ ุฃู‚ู„
908
+
909
+ 263
910
+ 00:22:18,950 --> 00:22:24,830
911
+ ู…ู† Z ุฃู‚ู„ ู…ู† 27 ู†ู‚ุต ู…ู† 16 ู‡ุฐูˆู„
912
+
913
+ 264
914
+ 00:22:24,830 --> 00:22:33,930
915
+ ุณุงู„ุจ ุซู„ุงุซุฉ ู…ุด ู‡ูŠูƒุŸ ู…ุงุดูŠ ุนู„ู‰ ุฃุฑุจุนุฉ ูˆุงู„ู„ูŠ ู‡ู†ุงุŸ
916
+
917
+ 265
918
+ 00:22:33,930 --> 00:22:40,210
919
+ ุจูŠู† ุงู„ุณุงู„ุจ ุซู„ุงุซุฉ ูˆุงู„ู…ูˆุฌุจ ุซู„ุงุซุฉ ู‚ุฏุงุดุŸ ู„ูˆ ุฃู†ุช ุนู…ู„ุชูŠู‡ุง
920
+
921
+ 266
922
+ 00:22:40,210 --> 00:22:43,890
923
+ ู‡ูŠุทู„ุน 0.9973 ุจุณ ู…ุด ู‡ุฐุง
924
+
925
+ 267
926
+ 00:22:43,890 --> 00:22:48,950
927
+ ุงู„ู…ุทู„ูˆุจ ุงู„ู…ุทู„ูˆุจ ุจูŠุชูƒู„ู… ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ population
928
+
929
+ 268
930
+ 00:22:48,950 --> 00:22:52,910
931
+ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ู€ X ุจุงุฑ ุนู„ู‰ ุงู„ู…ูŠูˆู…ุฉ ุนู„ู‰ ุงู„ู€ X ุจุงุฑ ุจุชุชุณุงู…ู„
932
+
933
+ 269
934
+ 00:22:52,910 --> 00:22:58,790
935
+ ู…ูŠู†ุŸ ุจุงู„ุชุงู„ูŠ ุฌูˆุงุจ ุฎุทุฃ ุฎุทุฃ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุญู„ ู‡ู†ุง ู„ู„ู€ X
936
+
937
+ 270
938
+ 00:22:58,790 --> 00:23:04,870
939
+ value ูููŠ ูุฑู‚ ุจูŠู† ุญูƒูŠ ุงู„ู€ X ูˆุงู„ู€ X ุจุงุฑ ุฅุฐุง ุงู„ answer
940
+
941
+ 271
942
+ 00:23:04,870 --> 00:23:10,580
943
+ is B ุทุจ ุนุดุฑุฉ ู‚ุฑุงุกุฉ ุนู„ู‰ ุงู„ุซุงู†ูŠุฉ ุขุฎุฑ ูˆุงุญุฏุฉ
944
+
945
+ 272
946
+ 00:23:31,610 --> 00:23:39,610
947
+ ู†ูุณ ุงู„ู…ุซุงู„ ู†ูุณ ุงู„ู…ุซุงู„ ูˆุจูŠุญูƒูŠ
948
+
949
+ 273
950
+ 00:23:39,610 --> 00:23:47,970
951
+ there is approximately 68% of random samples of 16
952
+
953
+ 274
954
+ 00:23:47,970 --> 00:23:52,540
955
+ cars ู„ุญุธุฉ ุงู„ู…ุซุงู„ ู…ุด ุญูƒุงูŠุฉ ุนู†ุฏู…ุง ุดุฑูŠุช ูƒุชุงุจ ู…ูŠู† ูƒุชุงุจ
956
+
957
+ 275
958
+ 00:23:52,540 --> 00:23:57,580
959
+ ุจุณุงู… ุจุงู„ู…ูŠู† ูˆุจุณุงู… ุจุงู„ู…ูŠู†ุŸ ุชุญุช ุงู„ู€ X ุจุงุฑ ุชุญุช ุงู„ู€ X
960
+
961
+ 276
962
+ 00:23:57,580 --> 00:23:59,440
963
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
964
+
965
+ 277
966
+ 00:23:59,440 --> 00:23:59,740
967
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
968
+
969
+ 278
970
+ 00:23:59,740 --> 00:24:01,040
971
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
972
+
973
+ 279
974
+ 00:24:01,040 --> 00:24:03,280
975
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
976
+
977
+ 280
978
+ 00:24:03,280 --> 00:24:06,400
979
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
980
+
981
+ 281
982
+ 00:24:06,400 --> 00:24:06,420
983
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
984
+
985
+ 282
986
+ 00:24:06,420 --> 00:24:08,300
987
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X
988
+
989
+ 283
990
+ 00:24:08,300 --> 00:24:11,280
991
+ barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุงู‡ ุชุญุช ุงู„ู€ X barุŸ ุฃ
992
+
993
+ 284
994
+ 00:24:19,720 --> 00:24:23,460
995
+ ุจุนุฏูŠู† ุจูŠุญูƒูŠ ุนู„ู‰ ุงู„ู€ 68 ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ standard
996
+
997
+ 285
998
+ 00:24:23,460 --> 00:24:30,360
999
+ deviation ูˆุงุญุฏ ู…ุด ู‡ูŠูƒ ุงุญู†ุง ู‚ู„ู†ุง ุงู„ู€ 68%ุŒ 95%ุŒ 99.7%
1000
+
1001
+ 286
1002
+ 00:24:30,360 --> 00:24:35,320
1003
+ 5%ุŒ 99.7% ู‡ุฐุง 1 ุณูŠุฌู…ุง ู‡ู†ุง 2 ุณูŠุฌู…ุง ูˆ
1004
+
1005
+ 287
1006
+ 00:24:35,320 --> 00:24:39,580
1007
+ ู‡ุฐุง 3 ุณูŠุฌู…ุง between
1008
+
1009
+ 288
1010
+ 00:24:39,580 --> 00:24:43,620
1011
+ 14 ูˆ 16 ุงู„ู€ sample mean 14 ู„ุบุงูŠุฉ
1012
+
1013
+ 289
1014
+ 00:24:43,620 --> 00:24:50,390
1015
+ 16 ุฅูŠุด ุฑุฃูŠูƒู… ููŠ ุงู„ู…ุซุงู„ ู‡ุฐุงุŸ ู…ุงุฐุง ุฑุฃูŠูƒ ูŠุง ุณู„ุงู…ุŸ
1016
+
1017
+ 290
1018
+ 00:24:50,390 --> 00:24:55,230
1019
+ random sum ูŠุจู‚ู‰ ูƒู… ูƒุงุฑ ุนู†ุฏู‡ุŸ 16 ุฅุฐุง ุงู„ู€ n ุจูŠุณุงูˆูŠ 16
1020
+
1021
+ 291
1022
+ 00:24:55,230 --> 00:25:00,030
1023
+ ู…ุด ู‡ูŠูƒ ุฅุฐุง ุฃุนุทุงู†ูŠ ุงู„ู€ n ุจู‚ุฏุฑ ุฃู†ุง ุฃุญุณุจ ู…ูŠู†ุŸ
1024
+
1025
+ 292
1026
+ 00:25:00,030 --> 00:25:10,070
1027
+ ุณูŠุฌู…ุง X ุจุงุฑ ุฅูŠุด ุจุชุณุงูˆูŠุŸ ุงู„ู€ ุณูŠุฌู…ุง ู‚ุฏุงุดุŸ ุนู„ู‰ 16 ุทู„ุน
1028
+
1029
+ 293
1030
+ 00:25:10,070 --> 00:25:15,260
1031
+ ุณูŠุฌู…ุง X ุจุงุฑ ุจู‚ู‰ 4 ุนู„ู‰ 16 square root ุจูŠุทู„ุน ุจู€ 1 ุฃูˆ ุฒูŠ
1032
+
1033
+ 294
1034
+ 00:25:15,260 --> 00:25:18,960
1035
+ ู…ุง ุญูƒูŠุช ู„ูƒ ู…ุธุจูˆุท ุฅุฐุง ุงู„ุญุงู„ุฉ ุชุจู‚ู‰ ู‡ุงูŠู… ุจุณ ุจูŠูƒูˆู† ูˆู†
1036
+
1037
+ 295
1038
+ 00:25:18,960 --> 00:25:22,440
1039
+ ุงุณุชู†ุธู ูŠุงุดูŠ ุฅุฐุง ุงู„ู€ mu minus one sigma x bar
1040
+
1041
+ 296
1042
+ 00:25:22,440 --> 00:25:27,300
1043
+ ุจุชูƒู„ู…ู‡ุง ุงู„ู€ x bar ู…ุด ู‡ูŠ ู…ุฑุฉ ุซุงู†ูŠุฉ there is
1044
+
1045
+ 297
1046
+ 00:25:27,300 --> 00:25:31,180
1047
+ approximately 68% chance that a random sample of 16
1048
+
1049
+ 298
1050
+ 00:25:31,180 --> 00:25:34,540
1051
+ cars will have a mean sample mean ุฃู†ุชูŠุด ุญู„ู‡ุง
1052
+
1053
+ 299
1054
+ 00:25:34,540 --> 00:25:39,180
1055
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุจุฏูŠ ุฃุญู„ู‡ุง ุจุงู„ู€ empirical rule ุฅุฐุง
1056
+
1057
+ 300
1058
+ 00:25:39,180 --> 00:25:43,300
1059
+ ู…ูŠูˆ ู…ุงูŠู†ุณ X ุจุงุฑ ูˆู…ูŠูˆ ุจู„ุณ ู…ูŠู†ุŸ Sigma X barุŒ
1060
+
1061
+ 301
1062
+ 00:25:43,300 --> 00:25:51,080
1063
+ ู…ุธุจูˆุทุŸ ู„ู…ูŠูˆ ู‚ุฏุงุดุŸ 15ุŸ 1 ูˆุงุญุฏ Sigma X bar ุจู€ 1
1064
+
1065
+ 302
1066
+ 00:25:51,080 --> 00:25:58,400
1067
+ ูˆุงู„ุซุงู†ูŠุฉุŸ 15ุŸ ุฅูŠุด ุงู„ุฌูˆุงุจ ุจูŠุทู„ุนุŸ ุฅุฐุง ูƒู„ุงู…ู‡
1068
+
1069
+ 303
1070
+ 00:25:58,400 --> 00:26:03,300
1071
+ ู…ุงู„ู‡ุŸ ูƒู„ุงู… ุตุญ ู„ูˆ ู…ุง ุงุดุชุบู„ุชูŠุด ุนู„ู‰ ุงู„ู€ rule ุงู„ู„ูŠ ุฃู†ุง
1072
+
1073
+ 304
1074
+ 00:26:03,300 --> 00:26:08,750
1075
+ ุญูƒูŠุชู‡ ุจุชุญู„ูŠ ุนุงุฏูŠ ูƒูŠู ุฃุญู„ ุนุงุฏูŠุŸ ุฒูŠ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุฅูŠุด
1076
+
1077
+ 305
1078
+ 00:26:08,750 --> 00:26:14,870
1079
+ ู‡ุชุตูŠุฑ ุงู„ู…ุซุงู„ุŸ ู„ูˆ ุจุฏุฃุช ุงุญู„ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุชุดูˆู ุฃู†ุช
1080
+
1081
+ 306
1082
+ 00:26:14,870 --> 00:26:20,510
1083
+ ุบุงู„ุจุง ู…ุด ู‡ุชุชุฐูƒุฑ ุงู„ู€ empirical roleุŒ ู…ุธุจูˆุทุŸ ู‡ุจุฏุฃ ุงุญู„
1084
+
1085
+ 307
1086
+ 00:26:20,510 --> 00:26:24,490
1087
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุด ุงู„ probability
1088
+
1089
+ 308
1090
+ 00:26:24,490 --> 00:26:28,350
1091
+ between
1092
+
1093
+ 309
1094
+ 00:26:28,350 --> 00:26:34,470
1095
+ 14 ูˆ 16 ู„ู„ู€ x ุจุงุฑุŒ ู…ุธุจูˆุทุŸ ุจุจุฏุฃ ุฃุดูˆู ุงู„ุฌูˆุงุจ ู‡ูˆ
1096
+
1097
+ 310
1098
+ 00:26:34,470 --> 00:26:39,680
1099
+ ุฃุนุทุงู†ูŠ yeah 0.6826 ู…ุด ู‡ูŠูƒ ุจูŠุชุฃูƒุฏ ู…ู† ุงู„ุฅุฌุงุจุฉ ุงู„ู„ูŠ
1100
+
1101
+ 311
1102
+ 00:26:39,680 --> 00:26:46,160
1103
+ ู‡ู†ุง ุฅูŠุด ุชุนู…ู„ู‡ุง ุชุญูˆู„ูŠู‡ุง ู„ู€ Z ุฅูŠุด ุจุชุตูŠุฑ ู‡ูŠ 14 ู†ู‚ุต 15
1104
+
1105
+ 312
1106
+ 00:26:46,160 --> 00:26:52,560
1107
+ Sigma X bar ุฃู†ุง already ุญุณุจุชู‡ุง 1 ุฃู‚ู„ ู…ู† Z ุฃู‚ู„
1108
+
1109
+ 313
1110
+ 00:26:52,560 --> 00:26:57,000
1111
+ ู…ู† 16 ู…ุงูŠู†ุณ 15 ุนู„ู‰ 1 ู…ุด ู‡ูŠูƒ ู…ุด ู‡ูŠูƒ ู‡ุชุณุงูˆูŠ negative
1112
+
1113
+ 314
1114
+ 00:26:57,000 --> 00:27:02,090
1115
+ one ู„ุฃู† ูˆุตู„ุช ู„ู„ู€ Z between minus one and plus one ู„ูˆ
1116
+
1117
+ 315
1118
+ 00:27:02,090 --> 00:27:05,990
1119
+ ุฑุฌุนุช ุฅู„ู‰ ุงู„ู€ empirical rule ู„ูˆ .. ู…ู† ุบูŠุฑ .. ู…ู† ุบูŠุฑ
1120
+
1121
+ 316
1122
+ 00:27:05,990 --> 00:27:08,050
1123
+ ุงู„ table .. ุฃู†ุง ุจุชุญูƒูŠ ู…ู† ุบูŠุฑ ุงู„ table ู„ูˆ ุฑุฌุนุช ุฅู„ู‰
1124
+
1125
+ 317
1126
+ 00:27:08,050 --> 00:27:11,970
1127
+ ุงู„ู€ empirical rule ูƒุงู† ูŠุญูƒูŠ 68% of the data will
1128
+
1129
+ 318
1130
+ 00:27:11,970 --> 00:27:16,590
1131
+ fall below one standard deviation of the
1132
+
1133
+ 319
1134
+ 00:27:16,590 --> 00:27:21,550
1135
+ population mean ู…ู‡ูŠู‡ุง .. ู…ู‡ูŠู‡ุง ุงู„ู€ Z ุจุงู„ุณู„ุจ one and
1136
+
1137
+ 320
1138
+ 00:27:21,550 --> 00:27:27,250
1139
+ plus one ู‡ุฐู‡ ุงู„ area 68.23% ู…ู† ุบูŠุฑ ุงู„ table ู„ูˆ ุจุฏูŠ
1140
+
1141
+ 321
1142
+ 00:27:27,250 --> 00:27:31,550
1143
+ ุฃุณุชุฎุฏู… ุงู„ table ู‡ุฐูŠ ู…ุด ู‡ุชุณุงูˆูŠ z less than one
1144
+
1145
+ 322
1146
+ 00:27:31,550 --> 00:27:36,710
1147
+ ู…ุธุจูˆุท ู…ุงูŠู†ุณ z less than negative one ู„ูˆ ุชุทู„ุน ุนู„ู‰
1148
+
1149
+ 323
1150
+ 00:27:36,710 --> 00:27:41,970
1151
+ ุงู„ table ุนู†ุฏ ุงู„ูˆุงุญุฏ ุนู†ุฏ ุงู„ูˆุงุญุฏ 0.8413
1152
+
1153
+ 324
1154
+ 00:27:41,970 --> 00:27:49,390
1155
+ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ุดูˆููˆุง ูุนู„ุง less than one ู„ูŠู„ูŠ
1156
+
1157
+ 325
1158
+ 00:27:49,390 --> 00:27:53,070
1159
+ ู‡ุฐู‡ ูƒู„ู‡ุง less than negative one 1 ู…ุงูŠู†ุณ ู‡ุฐู‡
1160
+
1161
+ 326
1162
+ 00:27:53,990 --> 00:27:56,850
1163
+ ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู‡ูˆ ู„ูˆ ุทู„ุนุช ุงู„ table ุชุทู„ุน 0.1
1164
+
1165
+ 327
1166
+ 00:27:56,850 --> 00:28:00,410
1167
+ 587 ู…ุด ู‡ูŠูƒ ุฃูˆ ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ negative
1168
+
1169
+ 328
1170
+ 00:28:00,410 --> 00:28:04,510
1171
+ table ู‡ุงุฎุฏ ู†ูุณ ุงู„ุฅุฌุงุจุฉ ู„ูˆ ุทู„ุนุช ุงู„ูุฑู‚ ู…ุง ุจูŠู† ู‡ุฏูˆู„
1172
+
1173
+ 329
1174
+ 00:28:04,510 --> 00:28:10,170
1175
+ ู…ุคูƒุฏ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ูˆ ูƒูŠูƒูˆ 0.6826
1176
+
1177
+ 330
1178
+ 00:28:10,170 --> 00:28:18,110
1179
+ ุทุฑูŠู‚ุฉ ู…ูŠู† ู„ุณู‡ ุทุจ ุฃุนู…ู„ ูƒู„ ุงู„ุดุบู„ ู‡ุฐุง ูˆุนู„ุดุงู† ุงู„
1180
+
1181
+ 331
1182
+ 00:28:18,110 --> 00:28:22,890
1183
+ empirical law ุงู„ู€ empirical law ุงู„ูˆุงุถุญ ุดูˆู ุฅูŠู‡ ุงู„ู€
1184
+
1185
+ 332
1186
+ 00:28:22,890 --> 00:28:28,390
1187
+ Probabilities ุฃู†ุง ุญุงูุธู‡ู… 68%ุŒ 95%ุŒ 99.7%
1188
+
1189
+ 333
1190
+ 00:28:28,390 --> 00:28:33,090
1191
+ ุงุดุชุบู„ ุนู„ูŠู‡ุง ุจุณ ุจุชูƒูˆู† ู…ุฑูƒุฒ ู‡ู„ ู‡ูŠ ู„ู„ู€ X ูˆู„ุง ู„ู„ู€ X ุจุงุฑ
1192
+
1193
+ 334
1194
+ 00:28:33,090 --> 00:28:37,590
1195
+ ุงู„ู‚ุงู†ูˆู† ู…ุง ุชุบูŠุฑุด ุงู„ู‚ุงู†ูˆู† ุฃุดูƒุงู„ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู€ Mu
1196
+
1197
+ 335
1198
+ 00:28:37,590 --> 00:28:43,210
1199
+ ู…ุงูŠู†ุณ ุณูŠุฌู…ุง ู…ุธุจูˆุท ุงู„ู€ Mu ุจู„ุณ ุณูŠุฌู…ุง ู…ุด ู‡ูŠูƒุŸ ุฅุฐุง ู‡ูŠ
1200
+
1201
+ 336
1202
+ 00:28:43,210 --> 00:28:45,630
1203
+ ู„ู„ู€ X ูŠุนู†ูŠ ุงู„ values ู†ูุณู‡ุง ุจุชูƒูˆู† ู…ูŠู† ู„ู„ู€ X ูˆSigma
1204
+
1205
+ 337
1206
+ 00:28:45,630 --> 00:28:50,370
1207
+ ู„ู„ู€ X ู…ุด ู‡ูŠูƒุŸ ูˆู‡ุฐุง ู…ุชุณุงูˆู‰ ูƒุฏู‡ ูŠุง ุนุดุงู† 68%
1208
+
1209
+ 338
1210
+ 00:28:53,040 --> 00:28:57,540
1211
+ ุทุจ ู„ูˆ ุญุงุฌุฉ ุฒูŠ ู‡ูŠูƒ ุงู„ู€ sample mean ุจุตูŠ ู†ูุณู‡ุง ุจุงู„ุธุจุท
1212
+
1213
+ 339
1214
+ 00:28:57,540 --> 00:29:06,280
1215
+ ุจุณ ุงู„ุงุฎุชู„ุงู ุฅูŠุด ูƒู„ ุญู…ู„ุฉ just replace this x by x bar
1216
+
1217
+ 340
1218
+ 00:29:06,280 --> 00:29:13,480
1219
+ ุจุณ ู‡ูŠ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ูˆู†ูุณ ุงู„ู†ุณุจุฉ ุจุงู„ุชุฃูƒูŠุฏ ุจุณ ุนู†ุฏูŠ
1220
+
1221
+ 341
1222
+ 00:29:13,480 --> 00:29:17,340
1223
+ ู…ุดูƒู„ุฉ ูˆุงุญุฏุฉ ุฃู†ู‡ ู„ุงุฒู… ุฃุญุณุจ mean sigma x bar ุนุดุงู†
1224
+
1225
+ 342
1226
+ 00:29:17,340 --> 00:29:21,420
1227
+ ุฃุญุณุจู‡ุง ุงู„ู‚ุงู†ูˆู† sigma over square root of n ู„ูˆ ุงู„ู€ n
1228
+
1229
+ 343
1230
+ 00:29:21,420 --> 00:29:25,820
1231
+ ู…ุด ู…ุนู„ูˆู…ุฉ ู…ุง ุฃู‚ุฏุฑุด ุฃูƒู…ู„ ุนุดุงู† ุฐู„ูƒ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ูุงุช
1232
+
1233
+ 344
1234
+ 00:29:25,820 --> 00:29:30,980
1235
+ ู…ุง ูƒู…ู„ุชุด ู„ุฃู† ุงู„ู€ n ู…ุง ูƒุงู†ุชุด ู…ูˆุฌูˆุฏุฉ ูˆุงุถุญุŸ ูˆุงุถุญ ููŠ ุฃูŠ
1236
+
1237
+ 345
1238
+ 00:29:30,980 --> 00:29:38,440
1239
+ ุณุคุงู„ุŸ ุฎู„ุงุต ุฃูŠู‡ ุนุดุฑ ุณู„ุฉุŸ ูˆุงุถุญ
1240
+
1241
+ 346
1242
+ 00:29:38,440 --> 00:29:41,620
1243
+ ูƒุฏู‡ ุจููƒุฑ ููŠ ุญุงู„ ู…ุซู„ู‡ุงุŸ ู†ุนู… ุฏู‡ ูŠูƒูˆู† ุบุงุถุจ ุงู„ู…ุจุฏุฃ
1244
+
1245
+ 347
1246
+ 00:29:41,620 --> 00:29:46,150
1247
+ ูƒูˆูŠุณ ูู‡ู…ู‡ ูƒูˆูŠุณ ูˆุงู„ู…ุจุฏุฃ ููŠ ุงู„ุญู„ ุฎู„ุงุต .. ุฎู„ุงุต ุงู„
1248
+
1249
+ 348
1250
+ 00:29:46,150 --> 00:29:49,910
1251
+ chapter 7 ูˆุงู„ู„ู‡
1252
+
1253
+ 349
1254
+ 00:29:49,910 --> 00:29:56,470
1255
+ ู…ุด ุนุงุฑู ุทู„ุน ุนู„ูŠู‡ู… ุจุฏูƒ
1256
+
1257
+ 350
1258
+ 00:29:56,470 --> 00:30:04,470
1259
+ 11 ูˆ 12ุŒ ู‡ุงูŠ 11 ูˆ 12 ุจุฑุถู‡
1260
+
1261
+ 351
1262
+ 00:30:04,470 --> 00:30:09,290
1263
+ ุฎู„ูŠู†ุง ู†ูƒู…ู„ ู†ูุณ ุงู„ scenario ุงู„ู„ูŠ ูุงุชุญ ุงู„ time spent
1264
+
1265
+ 352
1266
+ 00:30:09,290 --> 00:30:14,660
1267
+ studying by students in the week for the final exam
1268
+
1269
+ 353
1270
+ 00:30:14,660 --> 00:30:16,540
1271
+ follows a normal distribution with a standard
1272
+
1273
+ 354
1274
+ 00:30:16,540 --> 00:30:23,760
1275
+ deviation of 8 ุฅุฐุง sigma 8 a random sample of 4
1276
+
1277
+ 355
1278
+ 00:30:23,760 --> 00:30:33,720
1279
+ students ุงู„ู€ N is 4 ูˆุนู†ุฏูŠ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู…ุด ูƒุฏู‡ was
1280
+
1281
+ 356
1282
+ 00:30:33,720 --> 00:30:36,920
1283
+ taken in order to estimate the mean study time for
1284
+
1285
+ 357
1286
+ 00:30:36,920 --> 00:30:42,600
1287
+ the population of all students ูŠุนู†ูŠ ุฃุฎุฏ random
1288
+
1289
+ 358
1290
+ 00:30:42,600 --> 00:30:45,220
1291
+ sample ุจุฃุฑุจุนุฉ ูˆุงู„ุฃุฑุจุนุฉ ู‡ุฏูˆู„ ุจูŠุนู…ู„ูˆุง estimation
1292
+
1293
+ 359
1294
+ 00:30:45,220 --> 00:30:50,040
1295
+ ู„ู…ูŠู†ุŸ ู„ู„ู…ูŠู† ุงู„ุตุงุฏุฑ ู„ูƒู„ ุงู„ population ุจูŠุญูƒูŠ what's
1296
+
1297
+ 360
1298
+ 00:30:50,040 --> 00:30:55,480
1299
+ the probability that the sample mean ุฅูŠุด ุงุญุชู…ุงู„ ุฃู†
1300
+
1301
+ 361
1302
+ 00:30:55,480 --> 00:30:58,900
1303
+ ุงู„ู€ sample mean ู…ุง ู„ูˆ exceed the population mean
1304
+
1305
+ 362
1306
+ 00:30:58,900 --> 00:31:05,860
1307
+ ุจุฒูŠุฏ ุนู† ุงู„ population mean ุฃูƒุจุฑ ู…ู† ุงู„ population
1308
+
1309
+ 363
1310
+ 00:31:05,860 --> 00:31:10,520
1311
+ mean by more than two hours ู‡ู„ุฃ ู†ูƒุชุจ ู‡ูŠูƒ exceed
1312
+
1313
+ 364
1314
+ 00:31:10,520 --> 00:31:16,340
1315
+ ูŠุนู†ูŠ ุฅูŠุด ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ู€ mean ู…ู† ุงู„ู€ mean ุจู‚ุฏุงุดุŸ
1316
+
1317
+ 365
1318
+ 00:31:16,340 --> 00:31:19,820
1319
+ population ุจุงุชู†ูŠู† ุจุงุชู†ูŠู† ุจุณ ุงุชู†ูŠู† x bar ู†ู‚ุต ู…ูŠูˆ
1320
+
1321
+ 366
1322
+ 00:31:19,820 --> 00:31:25,580
1323
+ ุฃูƒุจุฑ x bar ุฃูƒุจุฑ ู…ู† ู…ูŠูˆ ุจู„ุณ ุงุชู†ูŠู† ู…ุด ู‡ูŠูƒ ู‡ูˆ ู…ุด
1324
+
1325
+ 367
1326
+ 00:31:25,580 --> 00:31:29,140
1327
+ ุจูŠุญูƒูŠ ุงู„ู€ sample mean exceed the population mean by
1328
+
1329
+ 368
1330
+ 00:31:29,140 --> 00:31:32,600
1331
+ more than two hours ุงู‡ ูŠุนู†ูŠ ู‡ูˆ ู…ุถุงุนู ุนู„ู‰ ุงุซู†ูŠู† ู‡ูˆ
1332
+
1333
+ 369
1334
+ 00:31:32,600 --> 00:31:39,980
1335
+ ู…ุถุงุนู ุนู„ู‰ ุงุซู†ูŠู† ู…ุด ุงู„ู…ุดูƒู„ุฉ ุฃูุถู„ ู„ุฃ ุฃูˆ ูƒุงู…ู„ ูŠุนู†๏ฟฝ๏ฟฝ ู‡ูˆ
1336
+
1337
+ 370
1338
+ 00:31:39,980 --> 00:31:45,360
1339
+ ุจุฏู‡ .. ุจุฏู‡ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ู†ุง ู…ุธุจูˆุท
1340
+
1341
+ 371
1342
+ 00:31:45,360 --> 00:31:49,860
1343
+ ุฃูƒู…ู„ ุงู„ุญู„ู‚ุฉ ุงู‡ ู…ุธุจูˆุท ูŠุนู†ูŠ ุงู„ู€ ู…ูŠูˆ ุจุชุฑูˆุญ ู…ุน ุงู„ู…ูŠูˆ
1344
+
1345
+ 372
1346
+ 00:31:49,860 --> 00:31:58,660
1347
+ ุญูˆู„ ู„ู€ Z score ูƒูŠู Z ูŠุตูŠุฑ ุงู„ู€ Z score ุจูŠุตูŠุฑ
1348
+
1349
+ 373
1350
+ 00:31:58,660 --> 00:32:03,450
1351
+ ุงู„ู€ x bar ู…ุงูŠู†ุณ ู…ูŠูˆ ุณูŠุฌู…ุง over square root of n
1352
+
1353
+ 374
1354
+ 00:32:03,450 --> 00:32:08,930
1355
+ ู…ุธุจูˆุท ุฃูƒุจุฑ ู…ู† ู„ุฃ ุฒูŠ ู…ูŠูˆ ุจู„ุณ ุงู„ุงุซู†ูŠู† ู…ูˆุฌูˆุฏุฉ ู…ุงูŠู†ุณ ุงู„ู€
1356
+
1357
+ 375
1358
+ 00:32:08,930 --> 00:32:12,050
1359
+ ู…ูŠูˆ ู…ุงูŠู†ุณ ุงู„ู€ ู…ูŠูˆ ุจูŠุฑูˆุญูˆุง ู…ุน ุจุนุถ ุนู„ู‰ ุณูŠุฌู…ุง ุนู„ู‰ square
1360
+
1361
+ 376
1362
+ 00:32:12,050 --> 00:32:15,930
1363
+ root of n ูƒู… ุงู„ู€ ุณูŠุฌู…ุง 8 ุนู„ู‰ 2 ุฃูˆ ุฌุฒุก ู…ู†
1364
+
1365
+ 377
1366
+ 00:32:15,930 --> 00:32:20,350
1367
+ ุงู„ุฃุนู„ู‰ ูŠุนู†ูŠ ุฏู‡ ู‡ุชุณุงูˆูŠ ุจู€ ุฃุฏ Z ู…ุด ู…ุธุจูˆุท Z ุงู‡ ุงู‡
1368
+
1369
+ 378
1370
+ 00:32:20,350 --> 00:32:25,210
1371
+ ุงู„ู…ูŠูˆ ุฑุงุญุช 2ุŒ 8 ุนู„ู‰ 2 4ุŒ 2 ุนู„ู‰
1372
+
1373
+ 379
1374
+ 00:32:25,210 --> 00:32:29,790
1375
+ 4 ู†ุต ุจุชุทู„ุน ูƒู„ู‡ุง ู†ุต ูŠุนู†ูŠ ุนุงูŠุฒ ูŠุจู‚ู‰ ุจู€ 0.5 Z
1376
+
1377
+ 380
1378
+ 00:32:29,790 --> 00:32:37,660
1379
+ greater than 0.5 ุจู†ุทู„ุญู‡ุง ุนู†ุฏ 2 ุนู†ุฏ ุงู„ู†ุต 1
1380
+
1381
+ 381
1382
+ 00:32:37,660 --> 00:32:42,900
1383
+ ู…ุงูŠู†ุณ ุฅู„ู‰
1384
+
1385
+ 382
1386
+ 00:32:42,900 --> 00:32:48,060
1387
+ ุนู†ุฏ ุงู„ู€ 0.5 ุชุทู„ุน ุชุชุงุจุน 0.691
1388
+
1389
+ 383
1390
+ 00:32:48,060 --> 00:32:53,840
1391
+ 5 ู…ุธุจูˆุทุŸ ุฅุฐุง ุฃุฑุดุฏ ุฌูˆุงุจ 0.308
1392
+
1393
+ 384
1394
+ 00:32:53,840 --> 00:33:00,680
1395
+ 5 ู…ุธุจูˆุท ุฎู„ุงุต ูุงู„ุฌูˆุงุจ ู„ูˆ ุงุชุทู„ุนุช check the answer
1396
+
1397
+ 385
1398
+ 00:33:02,020 --> 00:33:07,960
1399
+ ู…ุธุจูˆุท ุงู„ุฌูˆุงุจ ู‡ูŠุŸ ุงู‡ ู…ุธุจูˆุท ุทุจ ุงู„ุญู…ุฏ ู„ู„ู‡ ูŠุนู†ูŠ ู…ุนู†ู‰
1400
+
1401
+ 386
1402
+ 00:33:07,960 --> 00:33:14,040
1403
+
1404
+ 431
1405
+ 00:37:31,360 --> 00:37:35,380
1406
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1407
+
1408
+ 432
1409
+ 00:37:35,380 --> 00:37:35,560
1410
+ ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ
1411
+
1412
+ 433
1413
+ 00:37:35,560 --> 00:37:36,480
1414
+ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven
1415
+
1416
+ 434
1417
+ 00:37:36,480 --> 00:37:39,300
1418
+ seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three
1419
+
1420
+ 435
1421
+ 00:37:39,300 --> 00:37:41,160
1422
+ four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1423
+
1424
+ 436
1425
+ 00:37:41,160 --> 00:37:41,460
1426
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point
1427
+
1428
+ 437
1429
+ 00:37:41,460 --> 00:37:41,540
1430
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1431
+
1432
+ 438
1433
+ 00:37:41,540 --> 00:37:42,520
1434
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1435
+
1436
+ 439
1437
+ 00:37:42,520 --> 00:37:43,260
1438
+ three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four
1439
+
1440
+ 440
1441
+ 00:37:43,260 --> 00:37:46,680
1442
+ ุงู„ุฌูˆุงุจ
1443
+
1444
+ 441
1445
+ 00:37:46,680 --> 00:37:49,920
1446
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1447
+
1448
+ 442
1449
+ 00:37:59,090 --> 00:38:05,290
1450
+ ุงู„ุฌูˆุงุจ ู‡ุฏู 23 ุงู„ุฌูˆุงุจ ู‡ูŠ 0.7734 ุฅุฐุง
1451
+
1452
+ 443
1453
+ 00:38:05,290 --> 00:38:08,530
1454
+ ุงู„ููƒุฑุฉ ูƒุงู†ุช ู‡ูˆ ุนุงูŠุฒ ุงู„ sample mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ x-bar
1455
+
1456
+ 444
1457
+ 00:38:08,530 --> 00:38:14,410
1458
+ ุฃูƒุจุฑ more than three hours below the population
1459
+
1460
+ 445
1461
+ 00:38:14,410 --> 00:38:18,190
1462
+ ุฏูƒุชูˆุฑ ุทุจ ุจูŠูุนู„ ู…ุซู„ุง ู†ุฑุณู…ู‡ ู‡ูƒุฐุง ู†ุฑุณู… ุงู„ุฃุดูŠุงุก ูˆ ู†ุดูˆู
1463
+
1464
+ 446
1465
+ 00:38:18,190 --> 00:38:23,010
1466
+ ูƒุฏู‡ ู…ุง ูŠุชูˆุตู„ ู„ู†ุง ุฒูŠู‡ุง ูู„ุฃ ู‡ูˆ ุจูŠุญูƒูŠ ุฃู†ู‡ ู‡ุงูŠ ุงู„ mean
1467
+
1468
+ 447
1469
+ 00:38:23,010 --> 00:38:29,740
1470
+ ุงู„ x-bar ุฃุฑู…ุงู„ู‡ุงู„ุณู…ุจู„ ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1471
+
1472
+ 448
1473
+ 00:38:29,740 --> 00:38:35,600
1474
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1475
+
1476
+ 449
1477
+ 00:38:35,600 --> 00:38:39,540
1478
+ ูŠุนู†ูŠ ุฃู‚ู„
1479
+
1480
+ 450
1481
+ 00:38:39,540 --> 00:38:47,240
1482
+ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช
1483
+
1484
+ 451
1485
+ 00:38:47,240 --> 00:38:48,460
1486
+ ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1487
+
1488
+ 452
1489
+ 00:38:48,460 --> 00:38:50,120
1490
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1491
+
1492
+ 453
1493
+ 00:38:50,120 --> 00:38:51,880
1494
+ ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1495
+
1496
+ 454
1497
+ 00:38:51,880 --> 00:38:52,700
1498
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1499
+
1500
+ 455
1501
+ 00:38:52,700 --> 00:38:52,720
1502
+ ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1503
+
1504
+ 456
1505
+ 00:38:52,720 --> 00:38:55,730
1506
+ ุซู„ุงุซ ุจุณ ุฅูŠุด ุญูƒุงูŠุฉุŸ ู„ุฅู† ู‡ูŠ ุนุงูŠุฒุฉ ุงู„ู…ู†ุทู‚ุฉ ุฏูŠ ุจุงู„ุธุจุท
1507
+
1508
+ 457
1509
+ 00:38:55,730 --> 00:39:00,210
1510
+ ู‡ูŠูƒ ุฃูŠ ู…ู†ุทู‚ุฉุŸ ุงู„ู„ูŠ ู‡ูŠูƒ ูˆู„ุง ุงู„ู„ูŠ ู‡ูŠูƒ ุฅุฐุง ุฎุฏุช ุนู„ูŠู‡ุง
1511
+
1512
+ 458
1513
+ 00:39:00,210 --> 00:39:11,010
1514
+ ุตุงุฑ ู…ุนู†ุงู‡ุงุด ุฅู† ุงู„ x-bar ุฃู‚ู„ ู‡ูˆ ุฅูŠุด ุณุฃู„ุŸ is more
1515
+
1516
+ 459
1517
+ 00:39:11,010 --> 00:39:16,890
1518
+ three hours below ูŠุนู†ูŠ ุชู„ุช .. ุชู„ุช ุณุงุนุงุช ุฃู‚ู„ ู…ู†
1519
+
1520
+ 460
1521
+ 00:39:16,890 --> 00:39:21,940
1522
+ ุงู„ู…ู‚ุงุตุทุจ ูƒุงู…ู„ุฉ ูƒูˆูŠุณุŸ ุฎุด ุชุดูˆู ุงู„ู…ูู‡ูˆู… ุทุจุนู‡ุง ู„ูˆ
1523
+
1524
+ 461
1525
+ 00:39:21,940 --> 00:39:26,440
1526
+ ู‚ุฏุงู…ุช ู„ูˆ ู‚ุฏุงู…ุช ุดูˆูŠุฉ ู„ู…ุง ุจู‚ุฏู… ู‡ู†ุง ุจุณ ู‡ู†ุง ุฏูŠ ฮผ ู†ู‚ุต
1527
+
1528
+ 462
1529
+ 00:39:26,440 --> 00:39:32,200
1530
+ ูƒุฏู‡ุดุŸ ู†ูŠู† .. ู†ูŠู† .. ูˆ ู‡ู†ุง .. ู†ู‚ุต ูˆุงุญุฏ .. ู†ู‚๏ฟฝ๏ฟฝ ูˆุงุญุฏ
1531
+
1532
+ 463
1533
+ 00:39:32,200 --> 00:39:35,060
1534
+ ู…ุธุจูˆุท .. ุงู‡ ูˆ ุจุนุฏูŠู† ฮผ .. ูˆ ุจุนุฏุด ุงูŠู‡ ู†ู‚ุต ูˆุงุญุฏุŸ
1535
+
1536
+ 464
1537
+ 00:39:35,060 --> 00:39:41,400
1538
+ ุจุนุฏูŠู† ฮผ .. ุทุจ ุฃู†ุง ุนุงูŠุฒ ู‡ูŠุดุŸ ุฃูƒุชุฑ ู…ู† .. ุทุจ ุฃูƒุชุฑ
1539
+
1540
+ 465
1541
+ 00:39:41,400 --> 00:39:44,680
1542
+ ู…ู† ุชุนุงู„ูŠ ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉุŒ ุฅูŠุด ู‡ุชุตูŠุฑุŸ ู†ู‚ุต ุฃุฑุจุนุฉ .. ูˆ
1543
+
1544
+ 466
1545
+ 00:39:44,680 --> 00:39:51,190
1546
+ ู‡ูƒุฐุงุŒ ุฅุฐุง ุฃู†ุง ุนุงูŠุฒ ูˆูŠู†ุŸูŠุนู†ูŠ ุนุงูŠุฒ ู‡ุงุฏ ุงู„ู…ู†ุทู‚ุฉ ูŠุนู†ูŠ
1547
+
1548
+ 467
1549
+ 00:39:51,190 --> 00:39:54,510
1550
+ ู…ุทู„ูˆุจ probability of x-bar minus less than ฮผ minus
1551
+
1552
+ 468
1553
+ 00:39:54,510 --> 00:39:59,490
1554
+ three ุจุงู„ุฑุบู… ุฃู†ู‡ ุญูƒู‰ more ุจุณ ุนุดุงู† ุญูƒู‰ three hours
1555
+
1556
+ 469
1557
+ 00:39:59,490 --> 00:40:03,910
1558
+ below ูู…ุนุฑุงุณูŠ ู…ุจูŠู†ุฉ ุฅุฐุง ู…ุง ุฃูƒุฏ ุงู„ุดุบู„ ู‡ู†ุง ุตุญ ุจุณ
1559
+
1560
+ 470
1561
+ 00:40:03,910 --> 00:40:08,530
1562
+ ุงู„ู„ูŠ ู‡ุงุฏ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†ู‡ ุฅุฐุง ู…ุง ุฃูƒุฏ ู‡ุงุฏ ุนู…ู„ู‡ุง
1563
+
1564
+ 471
1565
+ 00:40:08,530 --> 00:40:14,780
1566
+ replaceู„ุง ู‚ู„ู†ุง ูŠุนู†ูŠ ุงู„ุฑุณู… ูŠุง ุฏูƒุชูˆุฑ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุจูŠู†
1567
+
1568
+ 472
1569
+ 00:40:14,780 --> 00:40:20,620
1570
+ ุทุจุนุงุŒ ุงู…ุชุงุฒุฉ ุงู„ุฑุณู… ู‡ูˆ ุงู„ู„ูŠ ุจูŠุจูŠู† ูˆู‡ูŠ ุงู„ุฌูˆุงู†ุจ ุจุญุซ
1571
+
1572
+ 473
1573
+ 00:40:20,620 --> 00:40:24,140
1574
+ ููƒุฑุฉ ุงู„ู…ุซู„ุฉ ุงู„ุขู† ู„ูˆ ู…ุดูŠุช ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ู…ู† ุบูŠุฑ
1575
+
1576
+ 474
1577
+ 00:40:24,140 --> 00:40:28,400
1578
+ ู…ุฑุณูˆู… more than three hours ู„ูˆ ุฌุงู„ above the mean
1579
+
1580
+ 475
1581
+ 00:40:28,400 --> 00:40:33,180
1582
+ ุฎู„ุงุต above the mean ูŠุนู†ูŠ ู‡ู†ุง ูƒูŠู ุชุตูŠุฑ ู„ูˆ above the
1583
+
1584
+ 476
1585
+ 00:40:33,180 --> 00:40:40,470
1586
+ meanุŸ ุฑูƒุฒ ู…ุนุงู‡ุŒ ู‡ูŠ ุงู„ meanู„ูˆ ุญูƒู‰ more than three
1587
+
1588
+ 477
1589
+ 00:40:40,470 --> 00:40:43,310
1590
+ hours above the mean ู‡ุงูŠ above the mean ู…ุธุจูˆุท ู„ูˆ
1591
+
1592
+ 478
1593
+ 00:40:43,310 --> 00:40:47,530
1594
+ ู‡ูŠ ฮผ ุจู„ุณ ุชุฑูŠ ุญูƒู‰ more than three hours ู‡ูŠุด ุญุตูŠุฑ
1595
+
1596
+ 479
1597
+ 00:40:47,530 --> 00:40:50,790
1598
+ ฮผ ุฒูŠ ุงู„ุฃุฑุจุนุฉ ู‡ู†ุง ู…ุธุจูˆุท ู„ู…ุง ูƒุฏู‡ ุงู„ู…ุณุงุญุฉ ุงู„ูŠ ุนู†
1599
+
1600
+ 480
1601
+ 00:40:50,790 --> 00:40:55,570
1602
+ ุงู„ูŠู…ูŠู† ู„ูƒู† ู„ู…ุง ุญูƒู‰ ฮผ ุงูˆ ุงู„ sample mean is more
1603
+
1604
+ 481
1605
+ 00:40:55,570 --> 00:41:00,550
1606
+ than three hours belowู„ู…ุง ุจู…ุดูŠ ู‡ูƒ ฮผ ู…ุงูŠู†ูˆุณ ุซู„ุงุซุŒ
1607
+
1608
+ 482
1609
+ 00:41:00,550 --> 00:41:03,690
1610
+ ุฅูŠุด ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุดู…ุงู„ุŸ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ุฃูˆ ุณุชุฉ ูˆ ู‡ูƒุฐุง
1611
+
1612
+ 483
1613
+ 00:41:03,690 --> 00:41:06,770
1614
+ ูˆ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุงูŠู†ูˆุณ ุงุชู†ูŠู† ูˆ ู…ุงูŠู†ูˆุณ ูˆุงุญุฏ ูุจุงู„ุชุงู„ูŠ
1615
+
1616
+ 484
1617
+ 00:41:06,770 --> 00:41:09,730
1618
+ ุฃู†ุง ุนุงูŠุฒ ุฃู„ุงู‚ุฑุง ููŠู‡ุง land to the left ููŠู‡ุง ุฏูŠุŒ
1619
+
1620
+ 485
1621
+ 00:41:09,730 --> 00:41:16,470
1622
+ ุฎู„ุงุตุŸ ุฅุฐุง ุฃุฎุฏู‡ุง ุฏุงูŠู…ุง ุจุงู„ุนูƒุณุŒ ุฅุฐุง ุญูƒู‰ below ูˆ ุญูƒู‰
1623
+
1624
+ 486
1625
+ 00:41:16,470 --> 00:41:21,290
1626
+ more thanุŒ ุฅุฐุง ุญูƒูŠ more ูˆ ู‡ู†ุง belowุŒ ุฃุฎุฏู‡ุง ุฃู‚ู„ ุนู„ู‰
1627
+
1628
+ 487
1629
+ 00:41:21,290 --> 00:41:26,640
1630
+ ุทูˆู„ุŒ ููŠ ุงู„ู…ุซู„ ุฅูŠุด ุญูƒูŠ ุงู„ุฃูˆู„ุงู†ูŠุฉุŸ more ู‡ูŠุจุณ ุฅูŠุดุŸ
1631
+
1632
+ 488
1633
+ 00:41:26,640 --> 00:41:30,960
1634
+ why moreุŸ ููŠ ู†ูุณ ุงู„ direction ุจุงุฎุฏ ุฃูƒุจุฑ ุนู„ู‰ ุทูˆู„ ุจุณ
1635
+
1636
+ 489
1637
+ 00:41:30,960 --> 00:41:33,880
1638
+ ุชู‚ูˆู„ูˆุง ู„ูˆ ุฅุญู†ุง ุงู†ุชุจู‡ู†ุง ุฃุตู„ุง ู‡ูˆ ู‡ุงุฏูŠ more ุชุจุน ู„ุฅู†ู‡
1639
+
1640
+ 490
1641
+ 00:41:33,880 --> 00:41:36,420
1642
+ ุงู„ูุฑู‚ ุจูŠู† ุงู„ ฮผ ุชุจุน ุงู„ sample ูˆ ุงู„ ฮผ ุชุจุน ุงู„
1643
+
1644
+ 491
1645
+ 00:41:36,420 --> 00:41:39,100
1646
+ population ู…ุงู„ู‡ุงุด ุฏุฎู„ ุจุงู„ probability ูŠุนู†ูŠ ุจุญูƒูŠู„ูƒ
1647
+
1648
+ 492
1649
+ 00:41:39,100 --> 00:41:42,200
1650
+ ุฅุญุชู…ุงู„ูŠุฉ ุฅู† ุงู„ sample mean ู‡ูˆ ุงู„ุฃูƒุชุฑ ู…ู† ุงู„
1651
+
1652
+ 493
1653
+ 00:41:42,200 --> 00:41:46,380
1654
+ population meanุŸ ุงู„ probability ู‡ูˆ ุทุงู„ุจ ุงู„
1655
+
1656
+ 494
1657
+ 00:41:46,380 --> 00:41:49,240
1658
+ probability ู„ู„ sample meanุŸ ุงู‡ ูŠุนู†ูŠ more ู‡ุงุฏูŠ more
1659
+
1660
+ 495
1661
+ 00:41:49,240 --> 00:41:52,920
1662
+ ู…ุงู„ู‡ุงุด ุฏุฎู„ ุจุงู„ probability ู„ุฃ ุฅู„ู‰ ุฏุงุฎู„ ูˆูŠู†ุŸ ุฅู†ู‡
1663
+
1664
+ 496
1665
+ 00:41:52,920 --> 00:41:57,360
1666
+ ุฃู†ุง ุนุงูŠุฒ ุงู„ sample mean ูŠูƒูˆู† ุฃูƒุชุฑ ู…ู† ุงู„ population
1667
+
1668
+ 497
1669
+ 00:41:57,360 --> 00:42:03,640
1670
+ mean ุจ 3 ุณุงุนุงุช ุจุณ below ูŠุนู†ูŠ ฮผ minus 3 minus 4
1671
+
1672
+ 498
1673
+ 00:42:03,640 --> 00:42:06,140
1674
+ minus 5 and so on
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/BLE2JYtIUUg_postprocess.srt ADDED
@@ -0,0 +1,1992 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:22,250
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู…
4
+
5
+ 2
6
+ 00:00:22,250 --> 00:00:24,090
7
+ ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:24,090 --> 00:00:24,410
11
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
12
+
13
+ 4
14
+ 00:00:24,410 --> 00:00:25,210
15
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
16
+
17
+ 5
18
+ 00:00:25,210 --> 00:00:25,590
19
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
20
+
21
+ 6
22
+ 00:00:25,590 --> 00:00:26,070
23
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
24
+
25
+ 7
26
+ 00:00:26,070 --> 00:00:26,170
27
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
28
+
29
+ 8
30
+ 00:00:26,170 --> 00:00:26,190
31
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
32
+
33
+ 9
34
+ 00:00:26,190 --> 00:00:29,330
35
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…
36
+
37
+ 10
38
+ 00:00:29,330 --> 00:00:36,810
39
+ ุจุณู…
40
+
41
+ 11
42
+ 00:00:36,810 --> 00:00:37,810
43
+ ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู†
44
+
45
+ 12
46
+ 00:00:37,810 --> 00:00:43,290
47
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญ
48
+
49
+ 13
50
+ 00:00:47,280 --> 00:00:49,700
51
+ ุฅูŠุด ุฃู†ุชูˆุง ุนุงูŠุฒูŠู†ุŸ ุงุนู†ูŠ ุงุฏูŠู†ูŠ ุณุคุงู„ ู…ุญุฏุฏ ุงูุถู„ ุงูŠู‡
52
+
53
+ 14
54
+ 00:00:49,700 --> 00:00:52,520
55
+ ุจู‚ู‰ ุฃูˆ ุงู†ุง ู…ู…ูƒู† ุงุดุชุฑูŠ ู…ู† ุงู„ุฃูˆู„ ู…ู† ุงู„ุฃูˆู„ .. ู…ู†
56
+
57
+ 15
58
+ 00:00:52,520 --> 00:00:58,680
59
+ ุงู„ุฃูˆู„ .. ูŠุนู†ูŠ practice ..
60
+
61
+ 16
62
+ 00:01:22,020 --> 00:01:29,160
63
+ ู…ุงุดูŠ ุจุดูˆู ูƒุฏู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ู„ุฃ ู‡ุจุฏุฃ question number
64
+
65
+ 17
66
+ 00:01:29,160 --> 00:01:35,230
67
+ one ุฃู†ุง ุจุฏูŠ ุฃู‚ุฑุง ุงู„ุณุคุงู„ ุฃูู‡ู…ูƒ ุงู„ู…ุนู†ู‰ ุชุจุนู‡ูˆ ุงุนุฑููƒ
68
+
69
+ 18
70
+ 00:01:35,230 --> 00:01:38,290
71
+ ุงูŠุด ุงู„ keyboards ุงู„ู„ูŠ ุงุญู†ุง ุนุงูŠุฒูŠู†ู‡ุง ูŠุนู†ูŠ ูƒู„ู…ุงุช
72
+
73
+ 19
74
+ 00:01:38,290 --> 00:01:42,310
75
+ ุงู„ู…ูุชุงุญูŠุฉ ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡ุง ุจุนุฑู ุงู„ุญู„ ูˆ ุจุนุฏูŠู† ุจู‚ุฏุฑ
76
+
77
+ 20
78
+ 00:01:42,310 --> 00:01:45,830
79
+ ุงุดูŠู„ ุฅุฌุงุจุงุช ู…ุด ุตุญูŠุญุฉ ูˆ ุชู… ุนูŠุฏู†ูŠ ู…ู…ูƒู† ุฅุฌุงุจุฉ ุงูˆ
80
+
81
+ 21
82
+ 00:01:45,830 --> 00:01:49,990
83
+ ุชู†ุชูŠู† ู‡ู…ุง ุงู„ุตุญ ูุจุฎุชุงุฑ ุงู„ correct answer ุงู„ sample
84
+
85
+ 22
86
+ 00:01:49,990 --> 00:01:53,150
87
+ distribution describe distribution of ุงุญู†ุง ุฃุฎุฏู†ุง
88
+
89
+ 23
90
+ 00:01:53,150 --> 00:01:56,830
91
+ ู‚ุจู„ ู‡ูŠูƒู… ุงู„ sample distribution ุจูŠุนู…ู„ distribution
92
+
93
+ 24
94
+ 00:01:56,830 --> 00:02:02,670
95
+ ู„ statistic ุงู…ุง ู‡ูŠูƒูˆู† ุงู„ sample meanุฃูˆ ุงู„ู€ sample
96
+
97
+ 25
98
+ 00:02:02,670 --> 00:02:05,970
99
+ of proportion ุฏูŠ ุดุฑุญ ุฎุจุท ุจูŠู†ู‡ ูˆุจูŠู† ุงู„ hypothesis
100
+
101
+ 26
102
+ 00:02:05,970 --> 00:02:08,830
103
+ ุงู„ hypothesis ุจูŠูƒูˆู† ุงู„ claim about the population
104
+
105
+ 27
106
+ 00:02:08,830 --> 00:02:11,650
107
+ parameter ู‡ู†ุงูƒ ุฅุฐุง ุงู†ุชุดุฑุช ุชุณุนุฉ ูƒู„ู…ุฉ ุนู† ุงู„
108
+
109
+ 28
110
+ 00:02:11,650 --> 00:02:14,450
111
+ population parameter ูŠุนู†ูŠ ุจุชูƒู„ู… ุนู† ุงู„ ู…ูŠูˆ ูˆุนู†
112
+
113
+ 29
114
+ 00:02:14,450 --> 00:02:17,960
115
+ ุงู„ุจูˆุนูŠููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุจุนุฉ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ
116
+
117
+ 30
118
+ 00:02:17,960 --> 00:02:21,960
119
+ ู…ุฌู…ูˆุนุฉ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ ู…ุฌู…ูˆุนุฉ
120
+
121
+ 31
122
+ 00:02:21,960 --> 00:02:33,320
123
+ ุงู„ุงุณุชุงุชูŠุณุชูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒ
124
+
125
+ 32
126
+ 00:02:42,000 --> 00:02:44,680
127
+ both parameters and statistics ุทุจุนุง ู„ุฃ ูุงู„ุชุงู„ูŠ
128
+
129
+ 33
130
+ 00:02:44,680 --> 00:02:48,060
131
+ correct answer is C ุฅุฐุง ุงู„ first one C is correct
132
+
133
+ 34
134
+ 00:02:48,060 --> 00:02:53,180
135
+ I just want to double check if the answers I mean
136
+
137
+ 35
138
+ 00:02:53,180 --> 00:02:55,960
139
+ answer key is correct or not at the end of your
140
+
141
+ 36
142
+ 00:02:55,960 --> 00:02:59,440
143
+ book ุญู†ุชุฃูƒุฏ ุฅูŠู‡ ุจุณ ุตุญูŠุญ ูˆู„ุง ู„ุฃ ุงู„ correct answer
144
+
145
+ 37
146
+ 00:02:59,440 --> 00:03:05,340
147
+ is C which is correct number two true or .. ุฅุฐุง
148
+
149
+ 38
150
+ 00:03:05,340 --> 00:03:10,840
151
+ one C number two true or falseุงู„ู€ Sample
152
+
153
+ 39
154
+ 00:03:10,840 --> 00:03:15,780
155
+ Distribution is defined as a probability
156
+
157
+ 40
158
+ 00:03:15,780 --> 00:03:20,020
159
+ distribution of sample sizes that can be observed
160
+
161
+ 41
162
+ 00:03:20,020 --> 00:03:27,780
163
+ from a given population ุฑู‚ู… ุงุชู†ูŠู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ู€
164
+
165
+ 42
166
+ 00:03:27,780 --> 00:03:29,940
167
+ Sample Distribution is defined as a probability
168
+
169
+ 43
170
+ 00:03:29,940 --> 00:03:34,260
171
+ distribution of possible sample sizes that can be
172
+
173
+ 44
174
+ 00:03:34,260 --> 00:03:38,250
175
+ observed ู‡ูˆ ุงู„ู€ Sample Distribution ูŠุนุทูŠุจูŠุนุทูŠู†ูŠ
176
+
177
+ 45
178
+ 00:03:38,250 --> 00:03:40,130
179
+ ุงู„ู€ mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ center ุจูŠุนุทูŠู†ูŠ ุงู„ spread
180
+
181
+ 46
182
+ 00:03:40,130 --> 00:03:45,350
183
+ ุจูŠุนุทูŠู†ูŠ ุงู„ shape ูุจุงู„ุชุงู„ูŠ ุงู† ู‡ูˆ .. ู‡ูˆ ุจูŠุญูƒูŠ ุชุนุฑูŠูู‡
184
+
185
+ 47
186
+ 00:03:45,350 --> 00:03:48,870
187
+ ุนุจุงุฑุฉ ุนู† probability of distribution ุทุจุนุง ู„ุฃ ู‡ูˆ
188
+
189
+ 48
190
+ 00:03:48,870 --> 00:03:51,610
191
+ ุจูŠุนุทูŠ ุงู„ center ุงูˆ ุงู„ spread ุงูˆ ุงู„ shape ูุจุงู„ุชุงู„ูŠ
192
+
193
+ 49
194
+ 00:03:51,610 --> 00:03:54,290
195
+ ุจูŠุนุทูŠุด probability ูƒ .. ู„ู…ุง ุจุญูƒูŠ ู„ูƒ ุงู„ X bar ุจุณูˆุงุฉ
196
+
197
+ 50
198
+ 00:03:54,290 --> 00:03:57,570
199
+ ุฎู…ุณูŠู† ู‡ู„ ุจูŠุนุทูŠู†ูŠ probability ู„ุฃ ุงุนุทุงู†ูŠ ุงู„ center
200
+
201
+ 51
202
+ 00:03:57,570 --> 00:04:02,230
203
+ ุชุจุนู‡ุง ุจุณูˆุงุฉ ุฎู…ุณูŠู† ูˆุงุถุญุŸ ุฅุฐุง ู„ู…ุง ุจุญูƒูŠ send
204
+
205
+ 52
206
+ 00:04:02,230 --> 00:04:06,440
207
+ distribution of X barุงู„ู‚ูŠู… ู‡ูˆ 16 ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู…
208
+
209
+ 53
210
+ 00:04:06,440 --> 00:04:09,600
211
+ ุงู„ุตุญูŠุญุฉ 10 ู…ุงุนุทุงู†ูŠุด ุงู„ุจุฑุงุจูŠุฑูŠุง ุชุจุนู‡ุง ุชุนุทุงู†ูŠ ุงู„ู‚ูŠู…
212
+
213
+ 54
214
+ 00:04:09,600 --> 00:04:14,740
215
+ ู„ู„ู‚ูŠู… ุฃูˆ ุงู„ู‚ูŠู… ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ุดูƒู„ ู†ูุณู‡ุง ุฅุฐู† ุจูŠ is
216
+
217
+ 55
218
+ 00:04:14,740 --> 00:04:22,000
219
+ the correct answer ุฅุฐู† ุงุชู†ูŠู† ุจูŠ ุฑู‚ู… ุชู„ุงุชุฉ ุงู„ุชู„ุงุชุฉ
220
+
221
+ 56
222
+ 00:04:22,000 --> 00:04:24,640
223
+ ุจูŠุญูƒูŠ amount of time it takes to complete an
224
+
225
+ 57
226
+ 00:04:24,640 --> 00:04:29,090
227
+ examination has left skewed distributionุงู„ุฒู…ู† ุงู„ู„ูŠ
228
+
229
+ 58
230
+ 00:04:29,090 --> 00:04:33,630
231
+ ู„ุงุฒู… ุนุดุงู† ุชุญุณุจ it takes a complete examination
232
+
233
+ 59
234
+ 00:04:33,630 --> 00:04:38,630
235
+ ุชุฎู„ุต ุงู„ุงู†ุชุญุงู† ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ left skewedุŸ ุชูˆุฒูŠุน ู…ุด
236
+
237
+ 60
238
+ 00:04:38,630 --> 00:04:42,110
239
+ normal ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู„ูŠุดุŸ left skewed with a mean of
240
+
241
+ 61
242
+ 00:04:42,110 --> 00:04:46,290
243
+ 65 minutes and standard deviation of 8 minutes if
244
+
245
+ 62
246
+ 00:04:46,290 --> 00:04:49,950
247
+ 64 students were randomly sampled ุฃุฎุฏ ุนูŠู†ุฉ ูƒุจูŠุฑุฉ
248
+
249
+ 63
250
+ 00:04:49,950 --> 00:04:56,180
251
+ ูˆู„ุง ุตุบูŠุฑุฉุŸูƒุจูŠุฑุฉุŒ ุชุฐูƒุฑ ุงุญู†ุง ุญูƒูŠู†ุง ู„ู…ุง ุชูƒูˆู† ุนู†ุฏู‡ for
252
+
253
+ 64
254
+ 00:04:56,180 --> 00:04:59,540
255
+ most distributions ู„ู…ุง n is large, large enough it
256
+
257
+ 65
258
+ 00:04:59,540 --> 00:05:01,760
259
+ means greater than 30 then we can assume the
260
+
261
+ 66
262
+ 00:05:01,760 --> 00:05:04,600
263
+ popularly standard distribution of the standard
264
+
265
+ 67
266
+ 00:05:04,600 --> 00:05:08,140
267
+ mean is approximately normally distributedู„ูˆ ูƒุงู†ุช
268
+
269
+ 68
270
+ 00:05:08,140 --> 00:05:11,420
271
+ N ุฃูƒุจุฑ ู…ู† 30 ูˆุญูƒูŠู†ุง for fair distribution ู„ูˆ ูƒุงู†ุช
272
+
273
+ 69
274
+ 00:05:11,420 --> 00:05:15,980
275
+ N ุฃูƒุจุฑ ู…ู† 15 ููˆุงุถุญ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู‡ left skewed ูˆ
276
+
277
+ 70
278
+ 00:05:15,980 --> 00:05:19,620
279
+ ุงู„ sample size ุฃุฎุฏุช ุฃุฏูŠุงุด 64 ูŠุนู†ูŠ ุนุฏุงุฏู‡ุง ุฃูŠุงุด more
280
+
281
+ 71
282
+ 00:05:19,620 --> 00:05:23,800
283
+ than 30 more than 30 ุฅุฐุง we are okay we are sample
284
+
285
+ 72
286
+ 00:05:23,800 --> 00:05:26,960
287
+ the probability that the sample mean of the sample
288
+
289
+ 73
290
+ 00:05:26,960 --> 00:05:30,740
291
+ distribution exceeds 71 minutes is approximately
292
+
293
+ 74
294
+ 00:05:30,740 --> 00:05:37,660
295
+ zeroูˆุงู„ู„ู‡ ู„ุฎุจุทู†ุง ู‡ูŠูƒ ูŠุนู†ูŠ ุงู†ุง ูƒู†ุช ู‡ููƒุฑ ุณูˆุงุก ููŠ
296
+
297
+ 75
298
+ 00:05:37,660 --> 00:05:41,280
299
+ ุงุชุฌุงู‡ ุงู†ู‡ ูŠู‚ูˆู„ูŠ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุทู„ู‚ ุจูŠุญูƒูŠ ู„ุฃ
300
+
301
+ 76
302
+ 00:05:41,280 --> 00:05:45,340
303
+ ู‡ูˆ ุนุงูŠุฒ ุงู„ mean ู„ุญุธุฉ ู…ุด ุจูŠุญูƒูŠ ุงู†ุง ู‡ุฐุง ู„ุฎุจุทูƒ ุฎุงุฑุฌ
304
+
305
+ 77
306
+ 00:05:45,340 --> 00:05:49,160
307
+ ุจุฏูˆู„ ุงู„ probability ุจุชุฑูƒุฒ ููŠ ุงู„ุฃูˆู„ ุงู„ X bar ุงู„ ู‡ูˆ
308
+
309
+ 78
310
+ 00:05:49,160 --> 00:05:52,480
311
+ approximately normal ู…ุธุจูˆุทุŸ ู…ุชูู‚ูŠู† ุนู„ูŠู‡ุง normal
312
+
313
+ 79
314
+ 00:05:52,480 --> 00:05:57,660
315
+ distributed ู…ุชูู‚ูŠู† ุนู„ูŠู‡ุง ุจุณ ุญูƒุงู„ูŠ with mean ู‚ุฏุงุดุฑ
316
+
317
+ 80
318
+ 00:05:57,660 --> 00:06:06,980
319
+ 65 ู…ุธุจูˆุทุŸ ูˆ ุงู„ sigmaุทุจ ุฅูŠุด ูƒุงู† ุนุงูŠุฒุŸ ู„ุจุฑูˆุงุจูŠู„ุชูŠ ุฅู†
320
+
321
+ 81
322
+ 00:06:06,980 --> 00:06:14,020
323
+ ุณุงู… ุจุงู„ู…ูŠู† ู…ุงู„ูˆ ุงูƒุณูŠุฑ ุงู„ 71 ูˆู…ุง ุจูŠุญูƒูŠ ุงู„ุฌูˆุงุจ ุฅูŠุด
324
+
325
+ 82
326
+ 00:06:14,020 --> 00:06:21,800
327
+ ุจูŠุณุงูˆูŠ ุจูŠุชุฃูƒุฏ ู‡ู„ ุงู„ุฌูˆุงุจ ุจูŠุณุงูˆูŠ ุตูุฑ ูˆู„ุง ู„ุฃ ุจูŠุญู„
328
+
329
+ 83
330
+ 00:06:21,800 --> 00:06:25,180
331
+ ุงู„ู…ุซู„ุฉ ุฃู†ุง ุตุฑุช ู…ุด ุจุฑุญู„ ุงู„ู…ุซู„ุฉ ุฃู†ุง ูƒู†ุช ูุงูƒุฑ ุฃุญูƒูŠ
332
+
333
+ 84
334
+ 00:06:25,180 --> 00:06:30,800
335
+ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุจุญุงูˆู„ูŠ ุนู„ู‰ ุงู„ Z ู…ุธุจูˆุท ุงู„ CZ
336
+
337
+ 85
338
+ 00:06:30,800 --> 00:06:37,430
339
+ ุฃูƒุจุฑ ู…ู† 71 minus the meanover sigma 8 ุนู„ู‰ square
340
+
341
+ 86
342
+ 00:06:37,430 --> 00:06:42,570
343
+ root ู„ู„ N ุงู„ N ูƒุฏู‡ุŸ 64 ู‡ูˆ ุฃุนุทุงูƒ ุฅูŠุงู‡ุง ุนุดุงู† ุฃุนุฑู
344
+
345
+ 87
346
+ 00:06:42,570 --> 00:06:46,350
347
+ ุฃุทู„ุน ู…ูŠู†ุŸ ุฃู‡ ุจุงู„ุธุจุท ุนุดุงู† ุฃุนุฑู ุฃุทู„ุน ุงู„ square root
348
+
349
+ 88
350
+ 00:06:46,350 --> 00:06:54,430
351
+ ุชูƒูˆู† ู…ุซู„ุง ุจุฏูŠู‡ุงุด calculator ู‡ุฐุง ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ
352
+
353
+ 89
354
+ 00:06:54,430 --> 00:07:01,010
355
+ ู‡ุฏูˆู„ ุงู„ุจุตุด ู…ูˆุฌูˆุฏุŸsix ุจุนุฏูŠู† ุชู…ุงู†ูŠุฉ ุน ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒ
356
+
357
+ 90
358
+ 00:07:01,010 --> 00:07:07,690
359
+ ูŠุนู†ูŠ ุจุฏูˆุฑ ุนู„ู‰ P of Z ุฃูƒุจุฑ ู…ู† ุณุชุฉ Z ุฃูƒุจุฑ ู…ู† ุณุชุฉ ุงู‡
360
+
361
+ 91
362
+ 00:07:07,690 --> 00:07:12,730
363
+ ูˆุงุญุฏ ุจูŠุทู„ุน ูˆุงุญุฏ ู†ู‚ุต ูˆุงุญุฏ ูˆุงุญุฏ ู†ู‚ุต ุณูŠ ุงู‡ ู‡ุงูŠ ุงู„ุณุชุฉ
364
+
365
+ 92
366
+ 00:07:12,730 --> 00:07:18,600
367
+ ุงู„ุณุชุฉ ูˆูŠู† ุงู„ white side ุนู„ู‰ ููˆู‚ ุงู„ุนู„ุจูŠุฉุงู„ู€ tab
368
+
369
+ 93
370
+ 00:07:18,600 --> 00:07:21,740
371
+ ุงู„ู…ุนุทู‰ ุงู„ area ู„ูˆูŠู†ุŸ to the left ุทุจุนุง z ุงู„ area to
372
+
373
+ 94
374
+ 00:07:21,740 --> 00:07:25,680
375
+ the left sideุŒ ู…ุธุจูˆุทุŸ ุงุฐุง this equals one minus b
376
+
377
+ 95
378
+ 00:07:25,680 --> 00:07:31,760
379
+ of z less than six ุงู„ tab ุงู„ู…ุนุทุงู†ูŠ ู„ุบุงูŠุฉ 3.4 ูˆ ุฌูˆ
380
+
381
+ 96
382
+ 00:07:31,760 --> 00:07:38,000
383
+ ูƒุงู† 9998 ููŠ ุงู„ุงุฎุฑุŒ ุงุฐุง ุชู‚ุฑูŠุจุง ูˆุงุญุฏุŒ ุงุฐุง ู‡ุฐู‡ ูˆุงุญุฏุŒ
384
+
385
+ 97
386
+ 00:07:38,000 --> 00:07:41,440
387
+ ุงุฐุง ุงู„ุฌุงู…ุนู‡ ู…ุด ุณุงูˆูŠุŒ ูŠุนู†ูŠ ุงู„ุฌุงู…ุนู‡ ุตุญุŒ ู„ุงุญุธุฉ ุงู†ุง
388
+
389
+ 98
390
+ 00:07:41,440 --> 00:07:44,940
391
+ ุญู„ุช ุงู„ู…ุซู„ ุงุณุชุฎุฏู…ุช calculatorูˆู„ุง ุงุณุชุฎุฏุงู… ุงู„ table
392
+
393
+ 99
394
+ 00:07:44,940 --> 00:07:47,980
395
+ ู‡ุงูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒ ุงูˆุตู„ู„ูƒูŠู‡ุง ูŠุนู†ูŠ ุจู…ู…ูƒู† ุงุญู„ูŠ ู…ุซู„ุง
396
+
397
+ 100
398
+ 00:07:47,980 --> 00:07:53,020
399
+ .. ุทุจ ู‡ูˆ ู…ุด .. ู…ุด ู‡ูŠูƒ ู‡ุช .. ู‡ุชุงูƒู„ in 64 ุนุดุงู† ุชูƒูˆู†
400
+
401
+ 101
402
+ 00:07:53,020 --> 00:07:58,920
403
+ ุงู„ calculations ู…ุงู„ู‡ุงุŒ ุชูƒูˆู† ุงู„ุญุณุงุจุงุช ู…ุงู„ู‡ุงุŒ ุณู‡ู„ุฉุŒ
404
+
405
+ 102
406
+ 00:07:58,920 --> 00:08:04,660
407
+ ุงุฐุง ุงู†ุง ุงุดูŠ ุฌูˆุงุจุŸtrue ุฅุฐุงู‹ ุชู„ุงุชุฉ ุงู„ answer is a
408
+
409
+ 103
410
+ 00:08:04,660 --> 00:08:09,860
411
+ ูˆุงุถุญ ุงู„ููƒุฑุฉ ุฅุฐุง ุงู„ู…ุซู„ุฉ ุจูŠุญูƒูŠู„ูƒ ุญู„ ู…ุณุชู„ุงุช X bar
412
+
413
+ 104
414
+ 00:08:09,860 --> 00:08:16,160
415
+ ุฃูƒุจุฑ ู…ู† 71 ุญู„ุชู‡ุง ุจ steps ุตุบูŠุฑุฉ ุทู„ุนุช ุฌูˆุงุจ ุชู‚ุฑูŠุจุง ุจ
416
+
417
+ 105
418
+ 00:08:16,160 --> 00:08:20,500
419
+ 0.00 ูุจุฏูŠ ูˆุงุญุฏุฉ ู…ู†ูƒู… ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุชุทู„ุน
420
+
421
+ 106
422
+ 00:08:20,500 --> 00:08:25,280
423
+ ุงู„ุฌูˆุงุจ ุบู„ุท ูŠุนู†ูŠ ุบูŠุฑ ุงู„ู…ุซู„ุฉequal one ู…ู…ูƒู†
424
+
425
+ 107
426
+ 00:08:25,280 --> 00:08:29,260
427
+ approximately ู…ุซู„ุง ุงู‡ equal one ุงู‡ ุทุจุนุง ู„ุฃ ู‡ูŠ ุงู„
428
+
429
+ 108
430
+ 00:08:29,260 --> 00:08:32,740
431
+ equal one ู‡ุฐู‡ ู„ุฃู‚ู„ ู…ู† ุณุชุฉ equal one ุงู‡ ู„ุฃู‚ู„ ู„ุฃู‚ู„
432
+
433
+ 109
434
+ 00:08:32,740 --> 00:08:37,340
435
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
436
+
437
+ 110
438
+ 00:08:37,340 --> 00:08:39,760
439
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
440
+
441
+ 111
442
+ 00:08:39,760 --> 00:08:42,420
443
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
444
+
445
+ 112
446
+ 00:08:42,420 --> 00:08:43,500
447
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
448
+
449
+ 113
450
+ 00:08:43,500 --> 00:08:50,320
451
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
452
+
453
+ 114
454
+ 00:08:50,320 --> 00:08:51,120
455
+ ู„ุฃู‚
456
+
457
+ 115
458
+ 00:08:54,130 --> 00:09:01,890
459
+ ุฎู„ุตู†ุง ุชู„ุงุชุฉ ุงูŠู‡ุŸ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุงูŠู‡ ุงู„ุชู„ุงุชุฉ ุงูŠู‡ุŸ ุฑู‚ู…
460
+
461
+ 116
462
+ 00:09:01,890 --> 00:09:10,550
463
+ ุงุฑุจุนุฉ The
464
+
465
+ 117
466
+ 00:09:10,550 --> 00:09:15,110
467
+ distribution of the number of loaves of bread sold
468
+
469
+ 118
470
+ 00:09:15,110 --> 00:09:19,590
471
+ per week by large bakery over the past five years
472
+
473
+ 119
474
+ 00:09:19,590 --> 00:09:28,670
475
+ has a mean of7750 ู‡ุงูŠ ุงู„ู…ูŠู† ูˆุตูุฉ
476
+
477
+ 120
478
+ 00:09:28,670 --> 00:09:32,830
479
+ ุงู„ุดู…ุณ 1450
480
+
481
+ 121
482
+ 00:09:32,830 --> 00:09:39,370
483
+ ู…ูŠุฉ ูˆุฎู…ุณุฉ ูˆุงุฑุจุนูŠู† ุงุฐุง
484
+
485
+ 122
486
+ 00:09:39,370 --> 00:09:44,830
487
+ ูƒุงู†ุช ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏHas been
488
+
489
+ 123
490
+ 00:09:44,830 --> 00:09:48,810
491
+ selected what's the approximate probability that
492
+
493
+ 124
494
+ 00:09:48,810 --> 00:09:52,230
495
+ the mean number of loaves sold in the same brief
496
+
497
+ 125
498
+ 00:09:52,230 --> 00:09:59,350
499
+ sealed ู‡ูˆ ุจุญูƒูŠ ุฃูŠุด ุงู„ mean ุฎู„ูŠ ุจุงู„ูƒ is an x bar
500
+
501
+ 126
502
+ 00:09:59,350 --> 00:10:04,930
503
+ ุฃูƒุจุฑ ู…ู† seven thousand eight hundred ninety five
504
+
505
+ 127
506
+ 00:10:04,930 --> 00:10:08,430
507
+ ุจุฏูˆุง ุงู„ mean ุฅูŠุด ุจูŠุณุงูˆูŠ ู†ูุณ ุงู„ุณุคุงู„ ุฏู‡ ุจุงู„ุธุจุท
508
+
509
+ 128
510
+ 00:10:08,430 --> 00:10:09,370
511
+ ุญุงูˆู„ูˆุง ู„ู„ z
512
+
513
+ 129
514
+ 00:10:14,740 --> 00:10:26,540
515
+ minus ุงู„ mean ุนู„ู‰ ุงู„ sigma over 40 ุจุชุญู„ูŠู‡ุง ูˆ
516
+
517
+ 130
518
+ 00:10:26,540 --> 00:10:29,560
519
+ ุจุชุชุฃูƒุฏ ู…ู† ุงู„ุฌูˆุงุจ ุงู† ููŠ ุฌู‡ุฉ ุฏู‡ ูˆู‚ุช ููŠู‡ุง ู…ุด ู‡ูŠูƒ ู†ูุณูƒ
520
+
521
+ 131
522
+ 00:10:29,560 --> 00:10:35,860
523
+ ุชููƒุฑู‡ ุนุดุงู† ุถูŠู‚ุฉ ูˆ ุจูŠุญูƒูŠ ุงู„ุฌูˆุงุจ ู†ุนู… ุจุชู„ุนุจ ุตุญูŠุญ ุงุฐุง
524
+
525
+ 132
526
+ 00:10:35,860 --> 00:10:39,660
527
+ ุนุงูŠุฒูƒ ุงู„ base ุจุณ ุช check this result ุจุชุฃูƒุฏ ู…ู†ู‡ุง
528
+
529
+ 133
530
+ 00:10:39,660 --> 00:10:43,970
531
+ ุจุชุฃูƒุฏ ุงู„ุญู„ ุตุญ ูˆู„ุง ู„ุฃุฅุฐุง ูˆุงุถุญ ู†ูุณ ุงู„ secret ุงู„ุณุคุงู„
532
+
533
+ 134
534
+ 00:10:43,970 --> 00:10:54,490
535
+ ุชู„ุงุชุฉ ู…ุงุดูŠ ุจุณ ุฃู‚ุฑุง ุฎู…ุณุฉ ุฎู…ุณุฉ major league baseball
536
+
537
+ 135
538
+ 00:10:54,490 --> 00:11:04,530
539
+ salaries average 3.26 ู…ู„ูŠูˆู† ุจูŠุชูƒู„ู… ุนู„ู‰ ู…ูŠู†ุŸ ุจูŠุชูƒู„ู…
540
+
541
+ 136
542
+ 00:11:04,530 --> 00:11:08,230
543
+ ุนู„ู‰ ุฑูˆุงุชุจ ุชุจุนูˆู† ุงู„ .. ุงู„ baseball ุงุฐุง ุฏูˆู„ ุฑูˆุงุชุจู‡ู…
544
+
545
+ 137
546
+ 00:11:08,230 --> 00:11:12,450
547
+ ุถุฎู…ุฉูŠุนู†ูŠ ู„ูˆ ุฃุชุนู„ู… ู„ุนุจุฉ ุฒูŠ ู‡ูŠูƒ ูˆ ู†ูุณ ุงู„ statistics
548
+
549
+ 138
550
+ 00:11:12,450 --> 00:11:17,510
551
+ ูƒุงู† ุฃุญุณู† ู…ุธุจูˆุทุŸ ู‡ูˆ ุจูŠุญูƒูŠ ุฑูˆุงุชุจ ูƒุฏู‡ุดุŸ 3.26 ู…ู„ูŠูˆู†
552
+
553
+ 139
554
+ 00:11:17,510 --> 00:11:22,150
555
+ with standard deviation of 1.2 suppose a sum of
556
+
557
+ 140
558
+ 00:11:22,150 --> 00:11:27,230
559
+ hundred funds approximate ู†ูุณ ุงู„ู‚ุตุฉุŒ ุฅุฐุง ุงู„ุฎู…ุณุฉ
560
+
561
+ 141
562
+ 00:11:27,230 --> 00:11:34,850
563
+ similar ูˆุงุถุญุŸ ุฎู…ุณุฉ ุฒูŠ ูˆ ุชุดุฌุน ู†ุถุงูŠู‚ ูˆู‚ุช ูˆุฎู…ุณุฉ ุฌูˆุงุจ
564
+
565
+ 142
566
+ 00:11:34,850 --> 00:11:36,250
567
+ ุฏูŠุŒ six
568
+
569
+ 143
570
+ 00:11:39,150 --> 00:11:43,870
571
+ ุฎู…ุณุฉ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง
572
+
573
+ 144
574
+ 00:11:43,870 --> 00:11:48,490
575
+ ุฎู…ุณุฉ
576
+
577
+ 145
578
+ 00:11:48,490 --> 00:11:52,790
579
+ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง ุฎู…ุณุฉ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง
580
+
581
+ 146
582
+ 00:12:08,580 --> 00:12:12,940
583
+ At a computer manufacturing company ุจุชูƒู„ู… ุนู„ู‰ ุดุฑูƒุฉ
584
+
585
+ 147
586
+ 00:12:12,940 --> 00:12:17,200
587
+ ุตู†ุงุนุฉ ุงู„ุญูˆุงุตูŠู„ The actual size of computer chips
588
+
589
+ 148
590
+ 00:12:17,200 --> 00:12:21,440
591
+ is normally distributed of a mean with a mean of
592
+
593
+ 149
594
+ 00:12:21,440 --> 00:12:29,060
595
+ one centimeter ุงู„ mean ูˆุงุญุฏ and standard deviation
596
+
597
+ 150
598
+ 00:12:29,060 --> 00:12:34,380
599
+ of point one a random sample of twelve
600
+
601
+ 151
602
+ 00:12:37,080 --> 00:12:41,500
603
+ in equal twelve ูˆู„ุญุธุฉ ูˆุญูƒู‰ ููŠ ุงู„ุฃุตู„ ุนู†ุฏู‰ ุชูˆุฒูŠุน
604
+
605
+ 152
606
+ 00:12:41,500 --> 00:12:44,620
607
+ ุทุจูŠุนู‰ ู…ุด ู‡ูŠูƒ ุนู„ุดุงู† ูƒุฏู‡ ุงู†ุช normal ู„ุฃู† ุงู„ in is
608
+
609
+ 153
610
+ 00:12:44,620 --> 00:12:47,840
611
+ small in this case to solve the problem we have to
612
+
613
+ 154
614
+ 00:12:47,840 --> 00:12:50,280
615
+ assume the population is normal otherwise you
616
+
617
+ 155
618
+ 00:12:50,280 --> 00:12:56,180
619
+ can't continue because we in chapter seven we are
620
+
621
+ 156
622
+ 00:12:56,180 --> 00:13:00,510
623
+ talking about if in is large enoughthen the sample
624
+
625
+ 157
626
+ 00:13:00,510 --> 00:13:03,590
627
+ sizes doesn't matter ู…ุด ู…ุดูƒู„ุฉ ุญุฌู… ุงู„ุนูŠู†ุฉ ู„ูƒู† ู„ู…ุง
628
+
629
+ 158
630
+ 00:13:03,590 --> 00:13:07,810
631
+ ุชูƒูˆู† n ุตุบูŠุฑุฉ ุงู„ sample size ุจูŠูƒูˆู† ู…ู‡ู… ุฅุฐุง ุงู„ุญูƒุงูŠุฉ
632
+
633
+ 159
634
+ 00:13:07,810 --> 00:13:12,010
635
+ ุชุญูƒูŠู„ูŠ ุทุจูŠุนูŠ ุจุชุฑูŠุญูƒ n equal to twelve ูˆ ุจุตุฏุฑ
636
+
637
+ 160
638
+ 00:13:12,010 --> 00:13:15,970
639
+ ุจุฑู†ุงู…ุฌ ุงู„ ุงู„ sample mean will be below ุงู„ mean
640
+
641
+ 161
642
+ 00:13:15,970 --> 00:13:22,150
643
+ will be below 9.95 ุจู†ูุณ
644
+
645
+ 162
646
+ 00:13:22,150 --> 00:13:27,830
647
+ ุงู„ููƒุฑุฉ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุญุงู„ุฉ ุชุจู‚ู‰ ุจุญุงูˆู„ ู„ุฒูŠูƒู„ู‡ู… minus
648
+
649
+ 163
650
+ 00:13:27,830 --> 00:13:33,030
651
+ ูˆุงุญุฏ minus ูˆุงุญุฏ ูˆุนู„ู‰ ุงู„ sigma over square root of
652
+
653
+ 164
654
+ 00:13:33,030 --> 00:13:37,530
655
+ twelve ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ูุงุชุช ููŠ ุงู„ุณุคุงู„ ุงู„ุณุงุจุน
656
+
657
+ 165
658
+ 00:13:37,530 --> 00:13:42,250
659
+ ุงู„ุฌูˆุงุจ ุชุจุนู‡ ุณุงู„ุจ ู‡ุงู†ุจูˆู†ุช ุงู„ู„ู‡ ูŠุณุงู…ุญู†ูŠุŒ ู…ูŠู† ุญูƒุช
660
+
661
+ 166
662
+ 00:13:42,250 --> 00:13:46,710
663
+ ุณุงู„ุจุŸ ุณุงู„ุจุŸ ูƒุงู†ุช ุนุฒุงุฌุฉุŸ ู…ุด ุฏูˆุฑุงุจูŠู„ุฉ ุณุงู„ุจุŒ ุงู†ุช
664
+
665
+ 167
666
+ 00:13:46,710 --> 00:13:55,610
667
+ ุนุฒุงุฌุฉุŸ ุงู‡ ุงู‡ ุงู‡ ุงู‡ุฃู†ุง ู…ุงุจุญูƒูŠ ุฌูˆุงุจุด ุจุณุงูˆุฉ ูƒู„ู‡ุงุŒ ูƒุฏู‡
668
+
669
+ 168
670
+ 00:13:55,610 --> 00:14:02,150
671
+ ุฃู‚ู„ ู…ู† ุงู„ุณู†ุฉ ุชู‚ุฑูŠุจุง zero ุงู†ุง ุณุคุงู„ ุงูŠุดุŸ zero ุงุฑุจุน
672
+
673
+ 169
674
+ 00:14:02,150 --> 00:14:07,950
675
+ ูˆุงุญุฏ ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ุดูˆู ุฏุงูŠู…ุง ุงู„ probability positive
676
+
677
+ 170
678
+ 00:14:07,950 --> 00:14:09,930
679
+ between zero and one ูŠุนู†ูŠ ู„ูˆ ุงู†ุง ุจุญู„ ู…ุซู„ุง ุทู„ุนุช
680
+
681
+ 171
682
+ 00:14:09,930 --> 00:14:13,250
683
+ negative ู…ุซู„ุง ุงู„ู„ูŠ ุฌุงุจุช ุบู„ุท ู„ูˆ ุทู„ุนุช ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
684
+
685
+ 172
686
+ 00:14:13,250 --> 00:14:16,330
687
+ ุงู„ู„ูŠ ุฌุงุจุช ุจุฑุถู‡ ุบู„ุท ู„ุงุฒู… ุชูƒูˆู† between zero and one
688
+
689
+ 173
690
+ 00:14:16,330 --> 00:14:17,810
691
+ ุณุคุงู„ ุชู…ุงู†ูŠุฉ
692
+
693
+ 174
694
+ 00:14:25,260 --> 00:14:28,980
695
+ ุงู„ุชู…ุงู†ูŠุฉ ุจูŠุญูƒูŠ the owner of a fish market has an
696
+
697
+ 175
698
+ 00:14:28,980 --> 00:14:36,420
699
+ assistant ุจูŠุญูƒูŠ owner ู„ fish market ุตุงุญุจ ู…ุญู„ ู„ุจูŠุน
700
+
701
+ 176
702
+ 00:14:36,420 --> 00:14:41,980
703
+ ุงู„ุฃุณู…ุงูƒ has assistant who has determined that the
704
+
705
+ 177
706
+ 00:14:41,980 --> 00:14:45,620
707
+ weights of catfish are normally distributed with a
708
+
709
+ 178
710
+ 00:14:45,620 --> 00:14:47,240
711
+ mean of 3.2
712
+
713
+ 179
714
+ 00:14:50,800 --> 00:14:57,880
715
+ mean of 3.2 pound and standard deviation of 0.8 if
716
+
717
+ 180
718
+ 00:14:57,880 --> 00:15:02,340
719
+ a sample of 64 fish yields ุงุชุฏุงู†ูŠ ุงู„ sample size
720
+
721
+ 181
722
+ 00:15:02,340 --> 00:15:08,060
723
+ 64 fish yields a mean of 3.4 pound ู‡ุฏูˆู„ ูŠุนุทูˆ ู…ู†
724
+
725
+ 182
726
+ 00:15:08,060 --> 00:15:14,720
727
+ ู…ูŠู† ู‡ุฏูˆู„ ูŠุนู†ูŠ ุงู„ sample ู…ู† ู…ูŠู† ุชุจุนู‡ู… 3.4 ุฅุฐุง
728
+
729
+ 183
730
+ 00:15:14,720 --> 00:15:18,980
731
+ ุฃุฎุฏ sample of 64 fish yields a mean of 3.4 pound
732
+
733
+ 184
734
+ 00:15:20,720 --> 00:15:23,140
735
+ ุจุณุฃู„ what's the probability of obtaining a sample
736
+
737
+ 185
738
+ 00:15:23,140 --> 00:15:27,460
739
+ mean this large or largerุŸ ุฅูŠุด ุงุญุชู…ุงู„ ุฃุญุตู„ ุนู„ู‰
740
+
741
+ 186
742
+ 00:15:27,460 --> 00:15:31,920
743
+ sample mean ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุฃูˆ ุฃูƒุจุฑ ู…ู†ู‡ุงุŸ ูŠุนู†ูŠ X bar
744
+
745
+ 187
746
+ 00:15:31,920 --> 00:15:38,080
747
+ ู…ุงู„ู‡ ุฃูƒุจุฑ ู…ู†ู‡ุงุŸ ู‡ูŠ ุฃูˆ ุฃูƒุจุฑุŸ ุจุณุŒ ูˆ ุงู„ุญู„ ุจูŠุตูŠุฑ ุดุบู„
748
+
749
+ 188
750
+ 00:15:38,080 --> 00:15:47,300
751
+ ุนุงุฏู‰ุŒ ู†ุธุจุทุŸ ูู‡ุฐุง ู‡ุชุณุงูˆูŠ P of Z ู‡ุงูŠ ุงู„ mean minus
752
+
753
+ 189
754
+ 00:15:48,460 --> 00:15:55,800
755
+ 3.2 over sigma over square root of 64 ู‡ุฐู‡
756
+
757
+ 190
758
+ 00:15:55,800 --> 00:15:59,880
759
+ ุงู„calculations ุนุงุฏุฉ ุณู‡ู„ุฉ ุทุจุนุง ููŠ ุงู„ .. ู‡ู†ุง ููŠ
760
+
761
+ 191
762
+ 00:15:59,880 --> 00:16:04,560
763
+ point 2 ู…ุด ู‡ูŠูƒ ูˆ ุงู„ู„ูŠ ุชุญุช ุดูˆ ุณุงูˆูŠ point 8 ุนู„ู‰ 8
764
+
765
+ 192
766
+ 00:16:04,560 --> 00:16:15,900
767
+ ูŠุนู†ูŠ ู‡ุฐุง point 8 ุนู„ู‰ 8 ูŠุนู†ูŠ ูŠุนู†ูŠ ุจูŠุตูŠุญุด .. ุงูŠุด
768
+
769
+ 193
770
+ 00:16:15,900 --> 00:16:22,240
771
+ ุจุงู„ุฌูˆุงุจ ุงุทู„ุน ู‡ู†ุงุŸpoint 8 ุน 8 ูƒุฏู‡ุŸ
772
+
773
+ 194
774
+ 00:16:22,240 --> 00:16:29,400
775
+ ู„ุฃ ุจุถุญูƒ ุจุณ point 8 ุน 8 ู„ุฃูˆู„ point 8 ุน 8 ูŠุนู†ูŠ point
776
+
777
+ 195
778
+ 00:16:29,400 --> 00:16:33,320
779
+ 1 ู…ู† 10 ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ุดูˆู ู‡ุงูŠ ุงู„ุฃุฎุทุงุฑ ู…ู…ูƒู† ุชุฌุฑุฃ ูƒุฏู‡
780
+
781
+ 196
782
+ 00:16:33,320 --> 00:16:37,900
783
+ ููŠ ู†ูุณูƒ point 1 ุทุจุนุง point 8 ุน 8 ุทุจุนุง ุฃูˆู„ ู…ุง
784
+
785
+ 197
786
+ 00:16:37,900 --> 00:16:42,080
787
+ ุจุดูˆูู‡ุง ููŠู‡ุง point 1 ูˆ ู‡ุฐุง ุบู„ุท ู„ูŠุด ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ูˆ
788
+
789
+ 198
790
+ 00:16:42,080 --> 00:16:45,080
791
+ ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ู‡ุฐุง ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ุน ุชู…ุงู†ูŠุฉ ุฅูŠุด
792
+
793
+ 199
794
+ 00:16:45,080 --> 00:16:54,760
795
+ ุงู„ุฌูˆุงุจ point 1 point 11 ู…ู† 10 ูŠุนู†ูŠ ูŠุนู†ูŠ ูˆุงุญุฏ
796
+
797
+ 200
798
+ 00:16:54,760 --> 00:16:57,840
799
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
800
+
801
+ 201
802
+ 00:16:57,840 --> 00:17:01,480
803
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
804
+
805
+ 202
806
+ 00:17:01,480 --> 00:17:01,620
807
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
808
+
809
+ 203
810
+ 00:17:01,620 --> 00:17:01,660
811
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
812
+
813
+ 204
814
+ 00:17:01,660 --> 00:17:02,560
815
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
816
+
817
+ 205
818
+ 00:17:02,560 --> 00:17:02,960
819
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
820
+
821
+ 206
822
+ 00:17:02,960 --> 00:17:03,840
823
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
824
+
825
+ 207
826
+ 00:17:03,840 --> 00:17:04,960
827
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
828
+
829
+ 208
830
+ 00:17:04,960 --> 00:17:15,400
831
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
832
+
833
+ 209
834
+ 00:17:15,400 --> 00:17:21,650
835
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠุฒูŠ ุงู‚ู„ ู…ู† ุงุชู†ูŠู† ุนู†ุฏ ุงู„ุงุชู†ูŠู† ุงูŠุด ุฌูˆุงุจ
836
+
837
+ 210
838
+ 00:17:21,650 --> 00:17:29,870
839
+ ุจุทู„ุน ู‡ุฐุง ุณุคุงู„ ุฑู‚ู… ุชู…ุงู†ูŠุฉ ุทู„ุน
840
+
841
+ 211
842
+ 00:17:29,870 --> 00:17:38,210
843
+ ุงู„ table ุนู†ุฏ ุงู„ุงุชู†ูŠู† ุชุณุนุฉ
844
+
845
+ 212
846
+ 00:17:38,210 --> 00:17:42,430
847
+ ุณุจุนุฉ ุณุจุนุฉ ุงุชู†ูŠู† ู…ุธุจูˆุท ุงุฐุง point nine seven seven
848
+
849
+ 213
850
+ 00:17:42,430 --> 00:17:47,080
851
+ twoone minus ูŠุนู†ูŠ zero, two, two, eight ู…ุด ู‡ูŠุŸ
852
+
853
+ 214
854
+ 00:17:47,080 --> 00:17:51,200
855
+ ูุจุชุงู„ูŠ ุฅูŠุด ุงู„ุฌูˆุงุจ ุชุจุนูŠู‡ุŸ ุฅุฐุง ุจูŠู‡ is the correct
856
+
857
+ 215
858
+ 00:17:51,200 --> 00:17:55,980
859
+ answer ุดูˆู
860
+
861
+ 216
862
+ 00:17:55,980 --> 00:18:01,260
863
+ ุชุฃูƒุฏ ู„ูˆ ุญุงุทุทุชู„ูƒ ุฅุฌุงุจุงุช ุชู„ุงุชุฉ ุจุชูƒูˆู† ูˆุงุญุฏุฉ ู…ู†
864
+
865
+ 217
866
+ 00:18:01,260 --> 00:18:05,360
867
+ ุงู„ุฃุฎุทุงุก ู…ู…ูƒู† ุฃู‚ุน ููŠู‡ุง ู‡ู†ุง ูŠุนู†ูŠ ุฃูŠ ุญุงุฌุฉ ุบู„ุทุช ุงู„ุญุณุงุจ
868
+
869
+ 218
870
+ 00:18:05,360 --> 00:18:10,440
871
+ ู‡ูŠุทู„ุนู„ูƒ ูˆุงุญุฏุฉ ู…ู† ู‡ุฏูˆู„ ูุงู†ุช ุฑูƒุฒูŠ ุดูˆูŠุฉ ุณุคุงู„ ุชุณุนุฉ
872
+
873
+ 219
874
+ 00:18:13,730 --> 00:18:17,990
875
+ true or false if the amount of gasoline purchased
876
+
877
+ 220
878
+ 00:18:17,990 --> 00:18:22,110
879
+ per car at large surface stations has a population
880
+
881
+ 221
882
+ 00:18:22,110 --> 00:18:28,090
883
+ of 15 gallons and population deviation of 4
884
+
885
+ 222
886
+ 00:18:28,090 --> 00:18:36,410
887
+ gallons then 99.73 of all cars
888
+
889
+ 223
890
+ 00:18:44,460 --> 00:18:49,240
891
+ ูˆุงู„ุจุฑุด is between 3 and 27 gallons ุงู‡ ุจุฏู†ุง ู†ุญู„ู‡ุง
892
+
893
+ 224
894
+ 00:18:49,240 --> 00:18:55,660
895
+ ุงู†ุง ุจุฏูŠ ุญุฏ ุญู„ ุงู„ุงุณุฆู„ุฉ ุจุชุฐูƒุฑูˆุง ุงู„ empirical rule ุงู„
896
+
897
+ 225
898
+ 00:18:55,660 --> 00:19:01,660
899
+ empirical rule ูƒุงู† ูŠุญูƒูŠ ุงูŠุด ูƒุงู† 689599.7 of the
900
+
901
+ 226
902
+ 00:19:01,660 --> 00:19:07,780
903
+ data will fall within ุงู„ุงุฎูŠุฑ within three standard
904
+
905
+ 227
906
+ 00:19:07,780 --> 00:19:12,020
907
+ deviation of the population mean ุจุณ ู‡ู†ุง ุฃู†ุง ุนู†ุฏู‰
908
+
909
+ 228
910
+ 00:19:12,020 --> 00:19:19,170
911
+ ุจุชูƒู„ู…ุด ุนู„ู‰ ุงู„ ..ุน ุงู„ X ุจุงุฑ ูƒู†ุง ู†ุญูƒูŠ ุงุญู†ุง ุงูŠุด ู„ูˆ ุงู„
912
+
913
+ 229
914
+ 00:19:19,170 --> 00:19:24,210
915
+ ู…ูŠูˆ ู…ุงู†ุณ ุซุฑูŠ ุณูŠุฌู…ุง ูˆ ู…ูŠูˆ ุจู„ุณ ุซุฑูŠ ุณูŠุฌู…ุงุŒ ู…ุธุจูˆุทุŸ ุจุณ
916
+
917
+ 230
918
+ 00:19:24,210 --> 00:19:30,010
919
+ ุฏู‡ ู…ุด ุณูŠุฌู…ุง ุงู„ุนุงุฏูŠุฉุŒ ุจุญูƒูŠ ุน ุงู„ X ุจุงุฑ ุงู„ู„ูŠ
920
+
921
+ 231
922
+ 00:19:30,010 --> 00:19:32,370
923
+ ุงู†ุช ู„ุงุญุธุด ุจูŠุญูƒูŠ ู‡ูˆ ุงู„ probability of obtaining
924
+
925
+ 232
926
+ 00:19:32,370 --> 00:19:36,790
927
+ sample mean ุงูˆ ุตุบูŠุฑ then 997 of all cars will
928
+
929
+ 233
930
+ 00:19:36,790 --> 00:19:44,280
931
+ purchase between 3 27ูˆู‡ู†ุง ุงุนุทุงู†ูŠ ุงูŠุดุŸ ู‡ุงูŠ ุงู„ุฎู…ุณุชุงุด
932
+
933
+ 234
934
+ 00:19:44,280 --> 00:19:49,500
935
+ ู‡ุฐูˆู„ ู…ูŠู† ุชุจุนู‡ู… ุงุฐุง ุนู†ุฏูŠ ุงู…ุง ุงุญู†ุง ุจุฏูŠ ุงุญู„ู‡ุง ู…ูŠูˆ
936
+
937
+ 235
938
+ 00:19:49,500 --> 00:19:53,200
939
+ ู…ุงูŠู† ุซุฑูŠ ุณูŠุฌู…ุง ู…ูŠูˆ ุจู„ุงุณุชุฑูŠ ุณูŠุฌู…ุง ุฎู„ูŠู†ูŠ ุงุจุฏุฃ
940
+
941
+ 236
942
+ 00:19:53,200 --> 00:20:01,440
943
+ ุจุงู„ุชุงู†ูŠ ูŠุนู†ูŠ ุงู„ู…ูŠู† ุงูŠุด ุจูŠุณุงูˆูŠุŸ ุงู„ู…ูŠู† ุฎู„ุงุดุŸ ูƒุฏู‡ุŸ
944
+
945
+ 237
946
+ 00:20:01,440 --> 00:20:05,800
947
+ ุฎู„ูŠู†ูŠ ุงุญู„ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูŠู† ู‚ุฏุงุดุŸ ู†ู‚ุต ุชู„ุงุชุฉ ููŠ ุฃุฑุจุนุฉ
948
+
949
+ 238
950
+ 00:20:05,800 --> 00:20:10,510
951
+ ู…ุด ู‡ูŠูƒุŸ ูˆุฎู…ุณุชุงุด ุฒูŠ ุชู„ุงุชุฉ ููŠ ุฃุฑุจุนุฉู…ุด ุจุทู„ุน ุงู„ุฌูˆุงุจ
952
+
953
+ 239
954
+ 00:20:10,510 --> 00:20:15,870
955
+ ู‡ู†ุง ุชู„ุงุชุฉ ุงูˆ ู‡ู†ุง ุงุฐุง
956
+
957
+ 240
958
+ 00:20:15,870 --> 00:20:19,250
959
+ ุจุทู„ุน ู…ู† ู‡ู†ุง ุงู„ู‰ ุงูŠู†ุŸ ู…ู† ุงู„ุชู„ุงุชุฉ ู„ุบุงูŠุฉ ุงู„ุณุงุจุนุฉ
960
+
961
+ 241
962
+ 00:20:19,250 --> 00:20:25,570
963
+ ูˆุนุดุฑูŠู† ุณุจุนูŠู† ู…ู…ูƒู† ู‡ุฐู‡ ู†ุญูŠู„ู‡ุง ุนู„ู‰ ุงู„ probability
964
+
965
+ 242
966
+ 00:20:25,570 --> 00:20:27,150
967
+ ุงู„ุนุงุฏูŠุฉ ุงู‡ ู…ู…ูƒู† ุชุญูŠู„ู‡ุง ุนู„ู‰ ุงู„ probability ุงู„ุนุงุฏูŠุฉ
968
+
969
+ 243
970
+ 00:20:27,150 --> 00:20:34,530
971
+ ุงู„ุฌูˆุงุจ ุทู„ุน ุนู„ู‰ ู‡ุฐู‡ ู‡ู†ุง ูุงู„ุฌูˆุงุจ ูƒุฏู‡ุŸ ุชู„ุงุชุฉ ู„ุณุจุนุฉ
972
+
973
+ 244
974
+ 00:20:34,530 --> 00:20:40,130
975
+ ูˆุนุดุฑูŠู† ู‡ุฐุง ุงู„ุณุคุงู„ ูƒุฏู‡ุŸ ุณุคุงู„ ุชุณุนุฉ ุชุณุนุฉู„ูˆ ุทู„ุนุช ุนู„ู‰
976
+
977
+ 245
978
+ 00:20:40,130 --> 00:20:43,670
979
+ ุงู„ูƒุชุงุจ ุจูŠุญูƒูŠู„ูŠ ุฌูˆุงุจ false ุทูŠุจ ู‡ูˆ ุจูŠุทู„ุน ู†ูุณ ุงู„ุฌูˆุงุจ
980
+
981
+ 246
982
+ 00:20:43,670 --> 00:20:48,550
983
+ ู…ุน ูƒุฏู‡ ุงู„ูƒู„ุงู… ู…ุด ุตุญ ุงู„ู„ูŠ ุฃู†ุง ุนู…ู„ุชู‡ ู„ูŠุดุŸ ู‡ูˆ ุจูŠุชูƒู„ู…ุด
984
+
985
+ 247
986
+ 00:20:48,550 --> 00:20:51,490
987
+ ุนู„ู‰ ุงู„ .. ุนู„ู‰ ุงู„ except ูƒู„ุงู… ุนู„ู‰ ุงู„ except
988
+
989
+ 248
990
+ 00:20:51,490 --> 00:20:56,750
991
+ ูุจุงู„ุชุงู„ูŠ ุฅูŠุด ู‡ุชุตูŠุฑุŸ ุบู„ุท ู‡ุฐุง ุบู„ุท ู‡ุฐุง ุงู„ุทุฑูŠู‚ุฉ ู…ุด ุตุญ
992
+
993
+ 249
994
+ 00:20:56,750 --> 00:21:01,710
995
+ ุงู‡ ูŠุนู†ูŠ ุงุญู†ุง ุงู„ุตุญูŠุญ ุงูŠู‡ ู„ุงู† ู†ุทู„ุน ุงู„ .. ุงู„ sigma x
996
+
997
+ 250
998
+ 00:21:01,710 --> 00:21:06,130
999
+ ู…ุงุฑูŠุด ุจุงู„ุณุงูˆูŠุฉ ุงู‡ ุทุจุนุง ุตุญ ุงู†ุง ุทุจุนุง ุทุจุนุง ุงู†ุง ุทุจุนุง
1000
+
1001
+ 251
1002
+ 00:21:06,130 --> 00:21:12,000
1003
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุงุงู„ุงู† ู…ุด ู…ุชุณุงูˆู‰ ููŠ ุงู„ู…ุซู„ุฉ ุงู„ุงู†
1004
+
1005
+ 252
1006
+ 00:21:12,000 --> 00:21:18,700
1007
+ ุฎู„ุงุต ู‡ู„ ููŠ ุงู† ู…ูˆุฌูˆุฏุŸ ู„ุง ู…ุงุนุฑู ุงูƒูŠุฏ ู…ุด ู‡ู‚ุฏุฑ ุงุญู„ ู‡ุฐู‡
1008
+
1009
+ 253
1010
+ 00:21:18,700 --> 00:21:22,700
1011
+ ุทูŠุจ ุฅุฐุง ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒุงู„ูŠู‡ ุตุญ ูˆู„ุง ุบู„ุทุŸ
1012
+
1013
+ 254
1014
+ 00:21:22,700 --> 00:21:26,600
1015
+ ุบู„ุท ู‡ู„ ุจุชู‚ุฏุฑ ุงู†ุช ุงู„ุขู† ุชุญู„ูŠ ุงู„ู…ุซู„ุฉ ุจุงู„ู‚ูˆุงู†ูŠู†
1016
+
1017
+ 255
1018
+ 00:21:26,600 --> 00:21:31,900
1019
+ ุงู„ุนุงุฏูŠุฉุŸ ู„ุง ู…ุณุชุญูŠู„ ู…ุด ู‡ู‚ุฏุฑ ุงุญู„ ู‡ุฐู‡ ุงู„ูƒู„ุงู…ุŸ ุฃูŠ
1020
+
1021
+ 256
1022
+ 00:21:31,900 --> 00:21:37,640
1023
+ probabilityุŸ
1024
+
1025
+ 257
1026
+ 00:21:39,170 --> 00:21:46,670
1027
+ ุงู„ู„ูŠ ุฃู†ุง ุจุชุทู„ุน ุงู„ probability ู„ู…ูŠู†ุŸ ู„ู„ X ูŠุนู†ูŠุŸ
1028
+
1029
+ 258
1030
+ 00:21:46,670 --> 00:21:55,890
1031
+ ุตุญ ุทู„ุนูŠู† ุฃู‡ ุตุญ ููƒุฑุง ู…ุด ููƒุฑุง ุบู„ุท ุฅุฐุง ุงู„ุฌูˆุงุจ ุบู„ุท ู„ุฅู†
1032
+
1033
+ 259
1034
+ 00:21:55,890 --> 00:21:58,390
1035
+ ุงู„ุทู„ุงู‚ ู‡ูŠ ูƒุชุงุจุชุงู† ูŠุนู…ู„ ูŠุนู†ูŠ ุจูŠุตูŠุฑ ุงู„ probability
1036
+
1037
+ 260
1038
+ 00:21:58,390 --> 00:22:06,330
1039
+ ุชู„ุงุชุฉ ุฃู‚ู„ ู…ู† X ุฃู‚ู„ ู…ู† 27 ุจูŠุตูŠุฑ ุชู„ุงุชุฉ ู†ู‚ุต ู„ู…ูŠู†ุŸ
1040
+
1041
+ 261
1042
+ 00:22:08,550 --> 00:22:11,910
1043
+ ุนู„ู‰ ุงู„ู€ Sigma ู‡ุฐุง ุงูŠุดุŸ ุฎู„ู‘ูŠ ุจุงู„ูƒ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ..
1044
+
1045
+ 262
1046
+ 00:22:11,910 --> 00:22:18,950
1047
+ ุงู„ุฌูˆุงุจ ุจุชุทู„ุน point 993 Sigma ุดูˆ ุชุณุงูˆูŠุŸ ุฃุฑุจุนุฉ ุฃู‚ู„
1048
+
1049
+ 263
1050
+ 00:22:18,950 --> 00:22:24,830
1051
+ ู…ู† Z ุฃู‚ู„ ู…ู† 27 ู†ู‚ุต ู…ู† 16 ู‡ุฐูˆู„
1052
+
1053
+ 264
1054
+ 00:22:24,830 --> 00:22:33,930
1055
+ ุณุงู„ุจ ุชู„ุชุฉ ู…ุด ู‡ูŠูƒุŸ ู…ุงุดูŠ ุนู„ู‰ ุฃุฑุจุนุฉ ูˆ ุงู„ู„ูŠ ู‡ู†ุงุŸ
1056
+
1057
+ 265
1058
+ 00:22:33,930 --> 00:22:40,210
1059
+ ุจูŠู† ุงู„ุณุงู„ุจ ุชู„ุชุฉ ูˆ ุงู„ู…ูˆุฌูˆุฏ ุชู„ุชุฉ ุฌุฏุงุดุŸู„ูˆ ุงู†ุช ุนู…ู„ุชูŠู‡ุง
1060
+
1061
+ 266
1062
+ 00:22:40,210 --> 00:22:43,890
1063
+ ู‡ูŠุทู„ุน point nine nine seven three ุจุณ ู…ุด ู‡ุฐุง
1064
+
1065
+ 267
1066
+ 00:22:43,890 --> 00:22:48,950
1067
+ ุงู„ู…ุทู„ูˆุจ ุงู„ู…ุทู„ูˆุจ ูŠุชูƒู„ู… ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ population
1068
+
1069
+ 268
1070
+ 00:22:48,950 --> 00:22:52,910
1071
+ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ X bar ุนู„ู‰ ุงู„ ู…ูŠูˆู…ุฉ ุนู„ู‰ ุงู„ X bar ุชุชุณุงู…ู„
1072
+
1073
+ 269
1074
+ 00:22:52,910 --> 00:22:58,790
1075
+ ู…ูŠู†ุŸ ุจุงู„ุชุงู„ูŠ ุฌูˆุงุจ ุฎุทุฃ ุฎุทุฃ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุญู„ ู‡ู†ุง ู„ู„ X
1076
+
1077
+ 270
1078
+ 00:22:58,790 --> 00:23:04,870
1079
+ value ูููŠ ูุฑู‚ ุจูŠู† ุญูƒูŠ ุงู„ X ูˆ X bar ุฅุฐุง ุงู„ answer
1080
+
1081
+ 271
1082
+ 00:23:04,870 --> 00:23:10,580
1083
+ is B ุทุจ ุนุดุฑุฉู‚ุฑุงุกุฉ ุนู„ู‰ ุงู„ุชุงู†ูŠุฉ ุฃุฎุฑ ูˆุงุญุฏุฉ
1084
+
1085
+ 272
1086
+ 00:23:31,610 --> 00:23:39,610
1087
+ ุทุฑู‚ ู†ูุณ ุงู„ู…ุซู„ุฉ ู†ูุณ ุงู„ู…ุซู„ุฉ ูˆุจูŠุญูƒูŠ
1088
+
1089
+ 273
1090
+ 00:23:39,610 --> 00:23:47,970
1091
+ there is approximately 68 random samples of 16
1092
+
1093
+ 274
1094
+ 00:23:47,970 --> 00:23:52,540
1095
+ cars ู„ุญุธุฉ ุงู„ู…ุซู„ุฉ ู…ุด ุญูƒุงูŠุฉุนู†ุฏู…ุง ุดุฑูŠุช ูƒุชุงุจ ู…ูŠู† ูƒุชุงุจ
1096
+
1097
+ 275
1098
+ 00:23:52,540 --> 00:23:57,580
1099
+ ุจุณุงู… ุจุงู„ู…ูŠู† ูˆ ุจุณุงู… ุจุงู„ู…ูŠู†ุŸ ุชุญุช ุงู„ X bar ุชุญุช ุงู„ X
1100
+
1101
+ 276
1102
+ 00:23:57,580 --> 00:23:59,440
1103
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1104
+
1105
+ 277
1106
+ 00:23:59,440 --> 00:23:59,740
1107
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1108
+
1109
+ 278
1110
+ 00:23:59,740 --> 00:24:01,040
1111
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1112
+
1113
+ 279
1114
+ 00:24:01,040 --> 00:24:03,280
1115
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1116
+
1117
+ 280
1118
+ 00:24:03,280 --> 00:24:06,400
1119
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1120
+
1121
+ 281
1122
+ 00:24:06,400 --> 00:24:06,420
1123
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1124
+
1125
+ 282
1126
+ 00:24:06,420 --> 00:24:08,300
1127
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1128
+
1129
+ 283
1130
+ 00:24:08,300 --> 00:24:11,280
1131
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃ
1132
+
1133
+ 284
1134
+ 00:24:19,720 --> 00:24:23,460
1135
+ ุจุนุฏูŠู† ุจูŠุญูƒูŠ ุน ุงู„ six eight ุงู„ู„ูŠ ู‡ูŠ ุงู„ standard
1136
+
1137
+ 285
1138
+ 00:24:23,460 --> 00:24:30,360
1139
+ deviation ูˆุงุญุฏ ู…ุด ู‡ูŠูƒ ุงุญู†ุง ู‚ู„ู†ุง ุงู„ six eight nine
1140
+
1141
+ 286
1142
+ 00:24:30,360 --> 00:24:35,320
1143
+ five nine one seven ู‡ุฐุง one sigma ู‡ู†ุง two sigma ูˆ
1144
+
1145
+ 287
1146
+ 00:24:35,320 --> 00:24:39,580
1147
+ ู‡ุฐุง three sigma between
1148
+
1149
+ 288
1150
+ 00:24:39,580 --> 00:24:43,620
1151
+ ุงุฑุจุนุฉ ุนุดุฑ ูˆ ุณุช ุนุดุฑ ุงู„ sample mean ุงุฑุจุนุฉ ุนุดุฑ ู„ุบุงูŠุฉ
1152
+
1153
+ 289
1154
+ 00:24:43,620 --> 00:24:50,390
1155
+ ุณุช ุนุดุฑ ุงูŠุด ุฑุฃูŠูƒูˆุง ููŠ ุงู„ู…ุซู„ ู‡ุฐุงุŸู…ุงุฐุง ุฑุฃูŠูƒ ูŠุง ุณู„ุงู…ุŸ
1156
+
1157
+ 290
1158
+ 00:24:50,390 --> 00:24:55,230
1159
+ random sum ูŠุจู‚ู‰ ูƒู… ูƒุงุฑ ุนู†ุฏู‡ุŸ 16 ุฅุฐุง ุงู„ุฃู† ุจูŠุณุงูˆูŠ 16
1160
+
1161
+ 291
1162
+ 00:24:55,230 --> 00:25:00,030
1163
+ ู…ุด ู‡ูŠูƒ ุฅุฐุง ุฅุนุทุงู†ูŠ ุงู„ุฃู† ุงู„ุชุงุณุน ุจู‚ุฏุฑ ุงู†ุง ุฃุญุณุจ ู…ูŠู†ุŸ
1164
+
1165
+ 292
1166
+ 00:25:00,030 --> 00:25:10,070
1167
+ ุณูŠุฌู…ุง X bar ุฅูŠุด ุจุชุณุงูˆูŠุŸ ุงู„ุณูŠุฌู…ุง ู‚ุฏุงุดุŸ ุนู„ู‰ 16 ุทู„ุน
1168
+
1169
+ 293
1170
+ 00:25:10,070 --> 00:25:15,260
1171
+ ุณูŠุฌู…ุง X bar ุจู‚ู‰ 4 ุนู„ู‰ 16 square root ุจุทู„ุน ุจ1ุฃูˆ ุฒูŠ
1172
+
1173
+ 294
1174
+ 00:25:15,260 --> 00:25:18,960
1175
+ ู…ุง ุญูƒูŠุช ู„ูƒ ู…ุธุจูˆุท ุฅุฐุง ุงู„ุญุงู„ ุชุจู‚ู‰ ู‡ุงูŠู… ุจุณ ุจูŠูƒูˆู† ูˆู†
1176
+
1177
+ 295
1178
+ 00:25:18,960 --> 00:25:22,440
1179
+ ุงุณุชู†ุธู ูŠุงุดูŠ ุฅุฐุง ุงู„ู€ mu minus one sigma x bar
1180
+
1181
+ 296
1182
+ 00:25:22,440 --> 00:25:27,300
1183
+ ุจุชูƒู„ู…ู‡ุง ุงู„ x bar ู…ุด ู‡ูŠ ู…ุฑุฉ ุชุงู†ูŠุฉ there is
1184
+
1185
+ 297
1186
+ 00:25:27,300 --> 00:25:31,180
1187
+ approximately 68 chance that random sample of 16
1188
+
1189
+ 298
1190
+ 00:25:31,180 --> 00:25:34,540
1191
+ cars will have mean sample mean ุฃู†ุชูŠุด ุญู„ู‡ุง
1192
+
1193
+ 299
1194
+ 00:25:34,540 --> 00:25:39,180
1195
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุจุฏูŠ ุฃุญู„ู‡ุง ุจุงู„ empirical ruleุฅุฐุง
1196
+
1197
+ 300
1198
+ 00:25:39,180 --> 00:25:43,300
1199
+ ู…ูŠูˆ minus X bar ูˆ ู…ูŠูˆ plus ู…ูŠู†ุŸ Sigma X barุŒ
1200
+
1201
+ 301
1202
+ 00:25:43,300 --> 00:25:51,080
1203
+ ู…ุธุจูˆุทุŸ ู„ู…ูŠูˆ ู‚ุฏุงุดุŸ ุฎู…ุณุฉ ุนุงุดุŸ ูˆุงุญุฏ Sigma X bar ุจูˆุงุญุฏ
1204
+
1205
+ 302
1206
+ 00:25:51,080 --> 00:25:58,400
1207
+ ูˆุงู„ุชุงู†ูŠุฉุŸ ุฎู…ุณุฉ ุนุงุดุŸ ุฅูŠุด ุงู„ุฌูˆุงุจ ุจุทู„ู‚ุŸ ุฅุฐุง ูƒู„ุงู…ู‡
1208
+
1209
+ 303
1210
+ 00:25:58,400 --> 00:26:03,300
1211
+ ู…ุงู„ู‡ุŸ ูƒู„ุงู… ุตุญ ู„ูˆ ู…ุงุดุชุบู„ุชูŠุด ุนู„ู‰ ุงู„ rule ุงู„ู„ูŠ ุฃู†ุง
1212
+
1213
+ 304
1214
+ 00:26:03,300 --> 00:26:08,750
1215
+ ุญูƒูŠุชู‡ ุจุชุญู„ูŠ ุนุงุฏูŠ ูƒูŠู ุฃุญู„ูŠ ุนุงุฏูŠุŸ ุฒูŠ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ุฅูŠุด
1216
+
1217
+ 305
1218
+ 00:26:08,750 --> 00:26:14,870
1219
+ ู‡ุตูŠุฑ ุงู„ู…ุซุงู„ุฉุŸ ู„ูˆ ุจุฏุฃ ุฃุญู„ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุชุดูˆู ุฃู†ุช
1220
+
1221
+ 306
1222
+ 00:26:14,870 --> 00:26:20,510
1223
+ ุบุงู„ุจุง ู…ุด ู‡ุชุชุฐูƒุฑ ุงู„ empirical roleุŒ ู…ุธุจูˆุทุŸ ู‡ุจุฏุฃ ุฃุญู„
1224
+
1225
+ 307
1226
+ 00:26:20,510 --> 00:26:24,490
1227
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุด ุงู„ probability
1228
+
1229
+ 308
1230
+ 00:26:24,490 --> 00:26:28,350
1231
+ between
1232
+
1233
+ 309
1234
+ 00:26:28,350 --> 00:26:34,470
1235
+ 14 ูˆ 16 ู„ู„ expertุŒ ู…ุธุจูˆุทุŸ ุจุฏุฃ ุฃุดูˆู ุงู„ุฌูˆุงุจ ู‡ูˆ
1236
+
1237
+ 310
1238
+ 00:26:34,470 --> 00:26:39,680
1239
+ ุฃุนุทุงู†ูŠ yeah0.6826 ู…ุด ู‡ูŠูƒ ุจูŠุชุฃูƒุฏ ู…ู† ุงู„ุฅุฌุงุจุฉ ุงู„ู„ูŠ
1240
+
1241
+ 311
1242
+ 00:26:39,680 --> 00:26:46,160
1243
+ ู‡ู†ุง ุฅูŠุด ุชุนู…ู„ู‡ุง ุชุญูˆู„ูŠู‡ุง ู„ุฒูŠ ุฅูŠุด ุจุชุตูŠุฑ ู‡ูŠ 14 ู†ู‚ุต 15
1244
+
1245
+ 312
1246
+ 00:26:46,160 --> 00:26:52,560
1247
+ Sigma X bar ุฃู†ุง already ุญุณุจุชู‡ุง ูˆุงุญุฏ ุฃู‚ู„ ู…ู† Z ุฃู‚ู„
1248
+
1249
+ 313
1250
+ 00:26:52,560 --> 00:26:57,000
1251
+ ู…ู† 16 minus 15 ุนู„ู‰ 1 ู…ุด ู‡ูŠูƒ ู…ุด ู‡ูŠูƒ ู‡ุชุณุงูˆูŠ negative
1252
+
1253
+ 314
1254
+ 00:26:57,000 --> 00:27:02,090
1255
+ oneู„ุฃู† ูˆุตู„ุช ู„ู„ Z between minus one and plus one ู„ูˆ
1256
+
1257
+ 315
1258
+ 00:27:02,090 --> 00:27:05,990
1259
+ ุฑุฌุนุช ุฅู„ู‰ ุงู„ empirical rule ู„ูˆ .. ู…ู† ุบูŠุฑ .. ู…ู† ุบูŠุฑ
1260
+
1261
+ 316
1262
+ 00:27:05,990 --> 00:27:08,050
1263
+ ุงู„ table .. ุฃู†ุง ุจุชุญูƒูŠ ู…ู† ุบูŠุฑ ุงู„ table ู„ูˆ ุฑุฌุนุช ุฅู„ู‰
1264
+
1265
+ 317
1266
+ 00:27:08,050 --> 00:27:11,970
1267
+ ุงู„ empirical rule ูƒุงู† ูŠุญูƒูŠ 68% of the data will
1268
+
1269
+ 318
1270
+ 00:27:11,970 --> 00:27:16,590
1271
+ fall below one standard deviation of the
1272
+
1273
+ 319
1274
+ 00:27:16,590 --> 00:27:21,550
1275
+ population mean ู…ู‡ูŠู‡ุง .. ู…ู‡ูŠู‡ุง ุงู„ Z ุจุงู„ุณู„ุจ one and
1276
+
1277
+ 320
1278
+ 00:27:21,550 --> 00:27:27,250
1279
+ plus one ู‡ุฐู‡ ุงู„ area 68.23% ู…ู† ุบูŠุฑ ุงู„ tableู„ูˆ ุจุฏู‰
1280
+
1281
+ 321
1282
+ 00:27:27,250 --> 00:27:31,550
1283
+ ุงุณุชุฎุฏู… ุงู„ table ู‡ุฐูŠ ู…ุด ู‡ุชุณุงูˆูŠ z less than one
1284
+
1285
+ 322
1286
+ 00:27:31,550 --> 00:27:36,710
1287
+ ู…ุธุจูˆุท minus z less than negative one ู„ูˆ ุชุทู„ุน ุนู„ู‰
1288
+
1289
+ 323
1290
+ 00:27:36,710 --> 00:27:41,970
1291
+ ุงู„ table ุนู†ุฏ ุงู„ูˆุงุญุฏ ุนู†ุฏ ุงู„ูˆุงุญุฏ ุชู…ุงู†ูŠุฉ ุฃุฑุจุนุฉ ูˆุงุญุฏุฉ
1292
+
1293
+ 324
1294
+ 00:27:41,970 --> 00:27:49,390
1295
+ ุชู„ุงุชุฉ minus minus ุดูˆููˆุง ูุนู„ุง less than one ู„ูŠู„ูŠ
1296
+
1297
+ 325
1298
+ 00:27:49,390 --> 00:27:53,070
1299
+ ู‡ุฐู‡ ูƒู„ู‡ุง less than negative one ูˆุงุญุฏ minus ู‡ุฐู‡
1300
+
1301
+ 326
1302
+ 00:27:53,990 --> 00:27:56,850
1303
+ ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู‡ูˆ ู„ูˆ ุทู„ุนุช ุงู„ table ุชู„ุนุจ point one
1304
+
1305
+ 327
1306
+ 00:27:56,850 --> 00:28:00,410
1307
+ five eight seven ู…ุด ู‡ูŠูƒ ุงูˆ ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ negative
1308
+
1309
+ 328
1310
+ 00:28:00,410 --> 00:28:04,510
1311
+ table ู‡ุงุฎุฏู‡ ู†ูุณ ุงู„ุงุฌุงุจุฉ ู„ูˆ ุทู„ุนุช ุงู„ูุฑู‚ ู…ุง ุจูŠู† ู‡ุฏูˆู„
1312
+
1313
+ 329
1314
+ 00:28:04,510 --> 00:28:10,170
1315
+ ู…ุคูƒุฏ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ูˆ ูƒูŠูƒูˆ point six twenty six
1316
+
1317
+ 330
1318
+ 00:28:10,170 --> 00:28:18,110
1319
+ ุทุฑูŠู‚ุฉ ู…ูŠู† ู„ุณู‡ ุทุจ ุฃุนู…ู„ ูƒู„ ุงู„ุดุบู„ ู‡ุฐุง ูˆ ุนู„ุดุงู† ุง๏ฟฝ๏ฟฝ
1320
+
1321
+ 331
1322
+ 00:28:18,110 --> 00:28:22,890
1323
+ empirical law ุงู„ empirical law ุงู„ูˆุงุถุญ ุดูˆู ุงูŠู‡ุงู„ู€
1324
+
1325
+ 332
1326
+ 00:28:22,890 --> 00:28:28,390
1327
+ Probabilities ุฃู†ุง ุญุงูุธู‡ู… 68959917
1328
+
1329
+ 333
1330
+ 00:28:28,390 --> 00:28:33,090
1331
+ ุงุดุชุบู„ ุนู„ูŠู‡ุง ุจุณ ุจุชูƒูˆู† ู…ุฑูƒุฒ ู‡ู„ ู‡ูŠ ู„ู„ X ูˆู„ุง ู„ู„ X bar
1332
+
1333
+ 334
1334
+ 00:28:33,090 --> 00:28:37,590
1335
+ ุงู„ู‚ุงู†ูˆู† ู…ุงุชุบูŠุฑุด ุงู„ู‚ุงู†ูˆู† ุงุดูƒุงู„ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู€ Mu
1336
+
1337
+ 335
1338
+ 00:28:37,590 --> 00:28:43,210
1339
+ minus Sigma ู…ุธุจูˆุท ุงู„ู€ Mu plus Sigma ู…ุด ู‡ูŠูƒุŸ ุงุฐุง ู‡ูŠ
1340
+
1341
+ 336
1342
+ 00:28:43,210 --> 00:28:45,630
1343
+ ู„ู„ X ูŠุนู†ูŠ ุงู„ values ู†ูุณู‡ุง ุจุชูƒูˆู† ู…ูŠู† ู„ู„ X ูˆ Sigma
1344
+
1345
+ 337
1346
+ 00:28:45,630 --> 00:28:50,370
1347
+ ู„ู„ X ู…ุด ู‡ูŠูƒุŸ ูˆู‡ุฐุง ู…ุชุณุงูˆู‰ ูƒุฏู‡ ูŠุง ุนุดุงู† 68
1348
+
1349
+ 338
1350
+ 00:28:53,040 --> 00:28:57,540
1351
+ ุทุจ ู„ูˆ ุญุงุฌุฉ ุฒูŠ ู‡ูŠูƒ ุงู„ sample mean ุจุตูŠ ู†ูุณู‡ุง ุจุงู„ุธุจุท
1352
+
1353
+ 339
1354
+ 00:28:57,540 --> 00:29:06,280
1355
+ ุจุณ ุงุฎุชู„ุงู ู‡ูŠุด ูƒู„ ุญู…ู„ุฉ just replace this x by x bar
1356
+
1357
+ 340
1358
+ 00:29:06,280 --> 00:29:13,480
1359
+ ุจุณ ู‡ูŠ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ูˆ ู†ูุณ ุงู„ู†ุณุจุฉ ุจุงู„ุชุฃูƒูŠุฏ ุจุณ ุนู†ุฏูŠ
1360
+
1361
+ 341
1362
+ 00:29:13,480 --> 00:29:17,340
1363
+ ู…ุดูƒู„ุฉ ูˆุงุญุฏุฉ ุงู†ู‡ ู„ุงุฒู… ุงุญุณุจ mean sigma x barุนุดุงู†
1364
+
1365
+ 342
1366
+ 00:29:17,340 --> 00:29:21,420
1367
+ ุฃุญุณุจู‡ุง ุงู„ู‚ุงู†ูˆู† sigma over square root of n ู„ูˆ ุงู„ุฃู†
1368
+
1369
+ 343
1370
+ 00:29:21,420 --> 00:29:25,820
1371
+ ู…ุด ู…ุนู„ูˆู…ุฉ ู…ู‚ุฏุฑุด ุฃูƒู…ู„ ุนุดุงู† ุฐู„ูƒ ุงู„ู…ุซู„ ุงู„ู„ูŠ ูุงุช
1372
+
1373
+ 344
1374
+ 00:29:25,820 --> 00:29:30,980
1375
+ ู…ูƒู…ู„ุชุด ู„ุฃู†ู‡ ุงู„ุฃู† ู…ุงูƒุงู†ุชุด ู…ูˆุฌูˆุฏุฉ ูˆุงุถุญุŸ ูˆุงุถุญ ููŠ ุฃูŠ
1376
+
1377
+ 345
1378
+ 00:29:30,980 --> 00:29:38,440
1379
+ ุณุคุงู„ุŸ ุฎู„ุงุต ุฃูŠู‡ ุนุดุฑ ุงู„ุณู„ุฉุŸ ูˆุงุถุญ
1380
+
1381
+ 346
1382
+ 00:29:38,440 --> 00:29:41,620
1383
+ ูƒุฏู‡ ุจููƒุฑ ููŠ ุญุงู„ ู…ุซู„ู‡ุงุŸ ู†ุนู… ุฏู‡ ูŠูƒูˆู† ุบุงุถุจ ุงู„ู…ุจุฏุฃ
1384
+
1385
+ 347
1386
+ 00:29:41,620 --> 00:29:46,150
1387
+ ูƒูˆูŠุณ ูู‡ู…ู‡ ูƒูˆูŠุณ ูˆุงู„ู…ุจุฏุฃ ููŠ ุงู„ุญู„ุฎู„ุงุต .. ุฎู„ุงุต ุงู„
1388
+
1389
+ 348
1390
+ 00:29:46,150 --> 00:29:49,910
1391
+ chapter 7 ูˆุงู„ู„ู‡
1392
+
1393
+ 349
1394
+ 00:29:49,910 --> 00:29:56,470
1395
+ ู…ุด ุนุงุฑู ุทู„ุน ุนู„ูŠู‡ู… ุจุฏูƒ
1396
+
1397
+ 350
1398
+ 00:29:56,470 --> 00:30:04,470
1399
+ 11 ูˆ 12ุŒ ู‡ุงูŠ 11 ูˆ 12 ุจุฑุถู‡
1400
+
1401
+ 351
1402
+ 00:30:04,470 --> 00:30:09,290
1403
+ ุฎู„ูŠู†ุง ู†ูƒู…ู„ ู†ูุณ ุงู„ scenario ุงู„ู„ูŠ ูุงุชุญ ุงู„ time spent
1404
+
1405
+ 352
1406
+ 00:30:09,290 --> 00:30:14,660
1407
+ studying by students in the weekfor the final exam
1408
+
1409
+ 353
1410
+ 00:30:14,660 --> 00:30:16,540
1411
+ follows normal distribution with standard
1412
+
1413
+ 354
1414
+ 00:30:16,540 --> 00:30:23,760
1415
+ deviation of 8 ุงุฐุง sigma 8 a random sample of 4
1416
+
1417
+ 355
1418
+ 00:30:23,760 --> 00:30:33,720
1419
+ students ุงู„ N is 4 ูˆุนู†ุฏูŠ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู…ุด ูƒุฏู‡ was
1420
+
1421
+ 356
1422
+ 00:30:33,720 --> 00:30:36,920
1423
+ taken in order to estimate the mean study time for
1424
+
1425
+ 357
1426
+ 00:30:36,920 --> 00:30:42,600
1427
+ the population of all studentsูŠุนู†ูŠ ุงุฎุฏ random
1428
+
1429
+ 358
1430
+ 00:30:42,600 --> 00:30:45,220
1431
+ sample ุจุงุฑุจุนุฉ ูˆ ุงู„ุงุฑุจุนุฉ ู‡ุฏูˆุฉ ุจูŠุนู…ู„ estimation
1432
+
1433
+ 359
1434
+ 00:30:45,220 --> 00:30:50,040
1435
+ ู„ู…ูŠู†ุŸ ู„ู„ู…ูŠู† ุงู„ุตุงุฏุฑ ู„ูƒู„ ุงู„ population ุจุญูƒูŠ what's
1436
+
1437
+ 360
1438
+ 00:30:50,040 --> 00:30:55,480
1439
+ the probability that the sample mean ุงูŠุด ุงุญุชู…ุงู„ ุงู†
1440
+
1441
+ 361
1442
+ 00:30:55,480 --> 00:30:58,900
1443
+ ุงู„ sample mean ู…ุง ู„ูˆ exceed the population mean
1444
+
1445
+ 362
1446
+ 00:30:58,900 --> 00:31:05,860
1447
+ ุจุฒูŠุฏ ุนู† ุงู„ population meanุฃูƒุจุฑ ู…ู† ุงู„ population
1448
+
1449
+ 363
1450
+ 00:31:05,860 --> 00:31:10,520
1451
+ mean by more than two hours ู‡ู„ุฃ ู†ูƒุชุจ ู‡ูŠูƒ exceed
1452
+
1453
+ 364
1454
+ 00:31:10,520 --> 00:31:16,340
1455
+ ูŠุนู†ูŠุด ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ mean ู…ู† ุงู„ mean ุจุฌุฏุงุดุŸ
1456
+
1457
+ 365
1458
+ 00:31:16,340 --> 00:31:19,820
1459
+ population ุจุงุชู†ูŠู† ุจุงุชู†ูŠู† ุจุณ ุงุชู†ูŠู† x bar ู†ู‚ุต ู…ูŠูˆ
1460
+
1461
+ 366
1462
+ 00:31:19,820 --> 00:31:25,580
1463
+ ุฃูƒุจุฑ x bar ุฃูƒุจุฑ ู…ู† ู…ูŠูˆ plus ุงุชู†ูŠู† ู…ุด ู‡ูŠูƒ ู‡ูˆ ู…ุด
1464
+
1465
+ 367
1466
+ 00:31:25,580 --> 00:31:29,140
1467
+ ุจูŠุญูƒูŠ ุงู„ sample mean exceed the population mean by
1468
+
1469
+ 368
1470
+ 00:31:29,140 --> 00:31:32,600
1471
+ more than two hours ุงู‡ ูŠุนู†ูŠ ู‡ูˆ ู…ุถุนู ุนู„ู‰ ุงุชู†ูŠู† ู‡ูˆ
1472
+
1473
+ 369
1474
+ 00:31:32,600 --> 00:31:39,980
1475
+ ู…ุถุนู ุนู„ู‰ ุงุชู†ูŠู†ู…ุด ุงู„ู…ุดูƒู„ุฉ ุงูุถู„ ู„ุฃ ุงูˆ ูƒุงู…ู„ ูŠุนู†ูŠ ู‡ูˆ
1476
+
1477
+ 370
1478
+ 00:31:39,980 --> 00:31:45,360
1479
+ ุจุฏู‡ .. ุจุฏู‡ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ู†ุง ู…ุธุจูˆุท
1480
+
1481
+ 371
1482
+ 00:31:45,360 --> 00:31:49,860
1483
+ ุงูƒู…ู„ ุงู„ุญู„ู‚ุฉ ุงู‡ ู…ุธุจูˆุท ูŠุนู†ูŠ ุงู„ ู…ูŠูˆ ุจุชุฑูˆุญ ู…ุน ุงู„ู…ูŠูˆ
1484
+
1485
+ 372
1486
+ 00:31:49,860 --> 00:31:58,660
1487
+ ุญุงูˆู„ ู„ุฒูŠ score ูƒูŠู ุฒูŠ ูŠุตูŠุฑ ุงู„ score ุจูŠุตูŠุฑ
1488
+
1489
+ 373
1490
+ 00:31:58,660 --> 00:32:03,450
1491
+ ุงู„ x bar minus ู…ูŠูˆSigma over square root of n
1492
+
1493
+ 374
1494
+ 00:32:03,450 --> 00:32:08,930
1495
+ ู…ุธุจูˆุท ุฃูƒุจุฑ ู…ู† ู„ุฃ ุฒูŠ ู…ูŠูˆ ุจู„ุณ ุงู„ุชูŠู† ู…ูˆุฌูˆุฏุฉ minus ุงู„
1496
+
1497
+ 375
1498
+ 00:32:08,930 --> 00:32:12,050
1499
+ ู…ูŠูˆ minus ุงู„ ู…ูŠูˆ ุจูŠุฑุญู„ ู…ุน ุจุนุถ ุนู„ู‰ ุณูŠุฌู…ุง ุนู„ู‰ square
1500
+
1501
+ 376
1502
+ 00:32:12,050 --> 00:32:15,930
1503
+ root of n ูƒู…ุด ุงู„ุณูŠุฌู…ุง ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ูŠู† ุงูˆ ุฌุฒุก ู…ู†
1504
+
1505
+ 377
1506
+ 00:32:15,930 --> 00:32:20,350
1507
+ ุงู„ุฃุนู„ู‰ ูŠุนู†ูŠ ุฏู‡ ู‡ุชุณุงูˆูŠ ุจ ุฃุฏ ุฒูŠ ู…ุด ู…ุธุจูˆุท ุฒูŠ ุงู‡ ุงู‡
1508
+
1509
+ 378
1510
+ 00:32:20,350 --> 00:32:25,210
1511
+ ุงู„ู…ูŠูˆ ุฑุงุญุช ุงุชู†ูŠู† ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุงุชู†ูŠู† ุนู„ู‰
1512
+
1513
+ 379
1514
+ 00:32:25,210 --> 00:32:29,790
1515
+ ุงุฑุจุนุฉ ู†ุต ุจุชุทู„ุน ูƒู„ู‡ ู†ุต ูŠุนู†ูŠ ุนุงูŠุฒ ูŠุจู‚ู‰ ุจู„ุชูˆู ุฒูŠ
1516
+
1517
+ 380
1518
+ 00:32:29,790 --> 00:32:37,660
1519
+ greater than point Fุจู†ุทู„ุญู‡ุง ุนู†ุฏ 2 ุนู†ุฏ ุงู„ู†ุต one
1520
+
1521
+ 381
1522
+ 00:32:37,660 --> 00:32:42,900
1523
+ minus ุฅู„ู‰
1524
+
1525
+ 382
1526
+ 00:32:42,900 --> 00:32:48,060
1527
+ ุนู†ุฏ ุงู„ point five ุงุชุทู„ุน ุชุชุงุจุน point six nine one
1528
+
1529
+ 383
1530
+ 00:32:48,060 --> 00:32:53,840
1531
+ five ุจุธุจุทุŸ ุฅุฐุง ุฃุฑุดุฏ ุฌูˆุงุจ point three zero eight
1532
+
1533
+ 384
1534
+ 00:32:53,840 --> 00:33:00,680
1535
+ five point ุฎู„ุงุต ูุงู„ุฌูˆุงุจ ู„ูˆ ุงุชุทู„ุนุช check the answer
1536
+
1537
+ 385
1538
+ 00:33:02,020 --> 00:33:07,960
1539
+ ู…ุธุจูˆุท ุงู„ุฌูˆุงุจ ู‡ูŠุŸ ุงู‡ ู…ุธุจูˆุท ุทุจ ุงู„ุญู…ุฏ ู„ู„ู‡ ูŠุนู†ูŠ ู…ุนู†ู‰
1540
+
1541
+ 386
1542
+ 00:33:07,960 --> 00:33:14,040
1543
+ ุงู„ุณุคุงู„ ู‡ุฐุง ู…ุนู†ู‰ ุทูˆู„ ุงู„ู…ุนู†ู‰ ุงู„ููƒุฑุฉ
1544
+
1545
+ 387
1546
+ 00:33:14,040 --> 00:33:20,380
1547
+ ุชุงุนุชู‡ ูƒุงู†ุช ุชุงู„ูŠุฉ ุงู„ููƒุฑุฉ ู‡ูŠ find the probability
1548
+
1549
+ 388
1550
+ 00:33:20,380 --> 00:33:25,500
1551
+ that the sample mean exceeds ุจุฒูŠุฏ ุนู† ุงู„ population
1552
+
1553
+ 389
1554
+ 00:33:25,500 --> 00:33:31,050
1555
+ mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ุจุฒูŠุฏby 2 ู„ูˆ ุญูƒู‰ ุจู‚ู„ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1556
+
1557
+ 390
1558
+ 00:33:31,050 --> 00:33:43,310
1559
+ U plus 2 ู„ูˆ ุฃู‚ู„ ุฎู„ุงุต ุฃู‚ู„ ู…ู†ู‡ ุฎู„ุงุต ุฃูŠู‡ 22ุŸ 23ุŸ
1560
+
1561
+ 391
1562
+ 00:33:43,310 --> 00:33:49,370
1563
+ 23 ุฃูŠู‡ 23ุŸ
1564
+
1565
+ 392
1566
+ 00:33:49,370 --> 00:33:52,530
1567
+ ุจุฑุถู‡
1568
+
1569
+ 393
1570
+ 00:33:52,530 --> 00:33:58,210
1571
+ ุงู„ sample meanis more than three hours below the
1572
+
1573
+ 394
1574
+ 00:33:58,210 --> 00:34:02,850
1575
+ population means ุฃูƒุชุจ
1576
+
1577
+ 395
1578
+ 00:34:02,850 --> 00:34:07,950
1579
+ ุจุญูŠูƒ ูˆู„ุง ุจูŠู‚ูˆู„ minus ู†ู‚ุฑุง ูƒูˆูŠุณ is more ู‡ูŠ more
1580
+
1581
+ 396
1582
+ 00:34:07,950 --> 00:34:14,910
1583
+ than three hours below ู‡ูŠูƒ ูˆู„ุง ู‡ูŠูƒ
1584
+
1585
+ 397
1586
+ 00:34:14,910 --> 00:34:19,550
1587
+ ู‡ูˆ
1588
+
1589
+ 398
1590
+ 00:34:19,550 --> 00:34:26,410
1591
+ ุจุญูƒู‰ is more ู‡ูŠ more ู…ุธู„ูˆู…more ู‚ุฏุงุดุŸ three hours
1592
+
1593
+ 399
1594
+ 00:34:26,410 --> 00:34:30,490
1595
+ below ูŠุนู†ูŠ ู‡ูˆ ุฃู‚ู„ ู…ู† ุงู„ mean ุจุชุงู†ูŠุฉ ุงู„ุณุงุนุฉ ูŠุนู†ูŠ
1596
+
1597
+ 400
1598
+ 00:34:30,490 --> 00:34:36,470
1599
+ ุงู„ุชุงู†ูŠุฉ ูŠุนู†ูŠ ุงู„ุชุงู†ูŠุฉ ุงู„ุตุญ ุจุงู„ุชุฑุฌู…ุฉ ู…ุด ุญุฑููŠุฉ ูˆ ุชูƒุชุจ
1600
+
1601
+ 401
1602
+ 00:34:36,470 --> 00:34:41,030
1603
+ more than three below three minus ู„ุฃ ู‡ูˆ ุจู‚ู„ ุนู„ู‰ ุงู„
1604
+
1605
+ 402
1606
+ 00:34:41,030 --> 00:34:45,810
1607
+ mean ุงู„ุชู„ุงุชุฉ ูŠุนู†ูŠ ุงู„ mean ู†ุงู‚ุต ุชู„ุงุชุฉ ูˆุงุถุญุŸ ุฅุฐุง ู‡ุฐู‡
1608
+
1609
+ 403
1610
+ 00:34:45,810 --> 00:34:50,890
1611
+ ู‡ูŠ ุฃูƒู…ู„ู‡ุง ู…ุด ุตุญูŠ ู‡ุชุจู‚ู‰ ุฃูƒู…ู„ุŸ ุฅุฐุง ุจุญูƒูŠ ู„ู‡ู… ุดูˆูŠุฉุŒ
1612
+
1613
+ 404
1614
+ 00:34:50,890 --> 00:34:56,530
1615
+ ู‡ูŠูƒุŸ- mu over sigma over root n ุญูƒูŠู†ุง sigma over
1616
+
1617
+ 405
1618
+ 00:34:56,530 --> 00:35:00,590
1619
+ root n ู‚ุฏูŠุด ุทู„ุนู†ุงู‡ุง ู‡ู†ุง ุชู…ุงู†ูŠุฉ ุฃุชู†ูŠู† ุฃุจู‚ู‰ ุฃุฑุจุนุฉ
1620
+
1621
+ 406
1622
+ 00:35:00,590 --> 00:35:08,210
1623
+ ุจุงู„ุณูˆุงุก ุจูŠ ูˆ ููŠ ุฒูŠ ุฃูƒุจุฑ ู…ู† negative ุชู„ุงุชุฉ ุนู„ู‰
1624
+
1625
+ 407
1626
+ 00:35:08,210 --> 00:35:12,830
1627
+ ุฃุฑุจุนุฉ ูŠุนู†ูŠ negative point seven five ู…ุธุจูˆุท ู‡ูŠ ูŠุนู†ูŠ
1628
+
1629
+ 408
1630
+ 00:35:12,830 --> 00:35:17,310
1631
+ ูˆุงุญุฏ minus ุฒูŠ less than negative point seven five
1632
+
1633
+ 409
1634
+ 00:35:17,310 --> 00:35:19,830
1635
+ ุงู„ุงู† seven five
1636
+
1637
+ 410
1638
+ 00:35:22,540 --> 00:35:30,120
1639
+ -0.75 2266
1640
+
1641
+ 411
1642
+ 00:35:30,120 --> 00:35:36,640
1643
+ ูˆูŠู†
1644
+
1645
+ 412
1646
+ 00:35:36,640 --> 00:35:49,220
1647
+ ุฑุงุญุช ุงู„ุฌูˆุงุจ ู†ุงู‚ุต 7.5 under 5 ู…ุด ู‡ูŠูƒ ุงู„ุฌูˆุงุจ
1648
+
1649
+ 413
1650
+ 00:35:49,220 --> 00:35:51,000
1651
+ 2.266
1652
+
1653
+ 414
1654
+ 00:35:56,910 --> 00:36:04,350
1655
+ ู‡ุฐุง ุงู„ุฌูˆุงุจู„ ููŠ ุงู„ูƒุชุงุจ ู…ุด one minus ุทุจ ุฅูŠุด ุงู„ุณุจุจุŸ
1656
+
1657
+ 415
1658
+ 00:36:04,350 --> 00:36:08,010
1659
+ ุงู„ุฌูˆุงุจู„ ููŠ ุงู„ูƒุชุงุจ point two two six six ูŠุนู†ูŠ ุทุจุนุง
1660
+
1661
+ 416
1662
+ 00:36:08,010 --> 00:36:17,910
1663
+ one minus ูˆุญูƒู‰ list ุฏู‡ุŸ is more than ูˆ ุฃู†ุง ุจุชุนู…ู„ู‡ุง
1664
+
1665
+ 417
1666
+ 00:36:17,910 --> 00:36:22,820
1667
+ ูƒูŠู ุฒูŠ ู…ุง ุฃู†ุง ุนุงูŠุฒูŠุนู†ูŠ ุงูŠุด ุงู„ุบู„ุท ููŠ ุงู„ุญู„ุŸ ุงู‡ ู„ุญุธุฉ
1668
+
1669
+ 418
1670
+ 00:36:22,820 --> 00:36:28,460
1671
+ ุดูˆูŠุฉ ู‡ุงูŠ ุงู„ scenario ุงู„ุฃูˆู„ ู…ุดูŠู‡ุงุŸ ุทุจ
1672
+
1673
+ 419
1674
+ 00:36:28,460 --> 00:36:35,160
1675
+ ุงุฐุง ุนู…ู„ุช P of X bar ุฃูƒุจุฑ ู…ู† ุชู„ุงุชุฉ ู†ู‚ุต ู…ูŠูˆ ุฅูŠุด
1676
+
1677
+ 420
1678
+ 00:36:35,160 --> 00:36:44,780
1679
+ ู‡ุชุตูŠุฑุŸ ุชู„ุงุชุฉ ู†ู‚ุต ู…ูŠูˆ ู†ู‚ุต ู…ูŠูˆ ูˆ ุงู„ sigma ุนู„ู‰ .. ุงู„
1680
+
1681
+ 421
1682
+ 00:36:44,780 --> 00:36:49,310
1683
+ sigma ุงู„ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ูŠู† ุจุงุฑุจุนplus ู‡ุฐู‡ ูˆ ุจุนุฏูŠู†
1684
+
1685
+ 422
1686
+ 00:36:49,310 --> 00:36:53,090
1687
+ ู‡ุฐู‡ ุตุงุฑุช ุณุงู„ุจ ุงุชู†ูŠู† ู…ูŠูˆ ุณุงู„ุจ ุงุชู†ูŠู† ู…ูŠูˆุŸ ุชู„ุงุชุฉ ู†ู‚ุต
1688
+
1689
+ 423
1690
+ 00:36:53,090 --> 00:36:56,670
1691
+ ุงุชู†ูŠู† ู…ูŠูˆุŸ ู…ู† ุงูŠู† ุงุฌูŠุจ ุงู„ู…ูŠูˆ ุทูŠุจุŸ ุงู„ู…ูŠูˆ ู…ุด ู…ุนุฑูˆู
1692
+
1693
+ 424
1694
+ 00:36:56,670 --> 00:36:59,530
1695
+ ู…ุด ู…ุนุฑูˆูุŸ ู‡ุฐุง ุงู„ุทุฑูŠู‚ ุงุตู„ุง ุงุฐุง ู‡ุฐุง ู…ุณุชุญูŠู„ ุชูƒูˆู† ุตุญ
1696
+
1697
+ 425
1698
+ 00:37:01,330 --> 00:37:07,870
1699
+ ู‡ุฐู‡ ู‡ูŠูƒ ู…ุด ุตุญ ู„ุฃ ู‡ูŠ ุงู„ุณุคุงู„ ุงู„ุญุงู„ูŠ ุตุญ ุจุณ ุงู„ุฌูˆุงุจ ู‡ูŠู‡
1700
+
1701
+ 426
1702
+ 00:37:07,870 --> 00:37:11,710
1703
+ ุงู†ุง ุงุดุชุบู„ู‡ุง ู…ุนุงู‡ ู…ูŠูˆ ู†ู‚ุตุฉ plus negative three
1704
+
1705
+ 427
1706
+ 00:37:11,710 --> 00:37:16,490
1707
+ ู…ุธุจูˆุท ู‡ู†ุง ุนู„ู‰ negative point seven five ุฃูƒุจุฑ ู…ู†ู‡ุง
1708
+
1709
+ 428
1710
+ 00:37:16,490 --> 00:37:22,810
1711
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุงู„ negative ู…ุธุจูˆุท ู‡ุฐุง ุฃูƒุจุฑ ู…ู† ุงู„ุฃูƒุจุฑ
1712
+
1713
+ 429
1714
+ 00:37:22,810 --> 00:37:26,890
1715
+ ู…ู† ู‡ูŠ ุงู„ุฃูƒุจุฑ
1716
+
1717
+ 430
1718
+ 00:37:26,890 --> 00:37:31,360
1719
+ ู…ู† negative ุฃูƒูŠุฏ ุฃูƒุชุฑ ู…ู† ู†ุต ุงู„ุฌูˆุงุจุงู„ุฌูˆุงุจ ู‡ูˆ point
1720
+
1721
+ 431
1722
+ 00:37:31,360 --> 00:37:35,380
1723
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1724
+
1725
+ 432
1726
+ 00:37:35,380 --> 00:37:35,560
1727
+ ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ
1728
+
1729
+ 433
1730
+ 00:37:35,560 --> 00:37:36,480
1731
+ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven
1732
+
1733
+ 434
1734
+ 00:37:36,480 --> 00:37:39,300
1735
+ seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three
1736
+
1737
+ 435
1738
+ 00:37:39,300 --> 00:37:41,160
1739
+ four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1740
+
1741
+ 436
1742
+ 00:37:41,160 --> 00:37:41,460
1743
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point
1744
+
1745
+ 437
1746
+ 00:37:41,460 --> 00:37:41,540
1747
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1748
+
1749
+ 438
1750
+ 00:37:41,540 --> 00:37:42,520
1751
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1752
+
1753
+ 439
1754
+ 00:37:42,520 --> 00:37:43,260
1755
+ three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four
1756
+
1757
+ 440
1758
+ 00:37:43,260 --> 00:37:46,680
1759
+ ุงู„ุฌูˆุงุจ
1760
+
1761
+ 441
1762
+ 00:37:46,680 --> 00:37:49,920
1763
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1764
+
1765
+ 442
1766
+ 00:37:59,090 --> 00:38:05,290
1767
+ ุงู„ุฌูˆุงุจ ู‡ุฏู 23 ุงู„ุฌูˆุงุจ ู‡ูŠ 0.7734 ุฅุฐุง
1768
+
1769
+ 443
1770
+ 00:38:05,290 --> 00:38:08,530
1771
+ ุงู„ููƒุฑุฉ ูƒุงู†ุช ู‡ูˆ ุนุงูŠุฒ ุงู„ sample mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ expo
1772
+
1773
+ 444
1774
+ 00:38:08,530 --> 00:38:14,410
1775
+ ุฃูƒุจุฑ more than three hours below the population
1776
+
1777
+ 445
1778
+ 00:38:14,410 --> 00:38:18,190
1779
+ ุฏูƒุชูˆุฑ ุทุจ ุจูŠูุนู„ ู…ุซู„ุง ู†ุฑุณู…ู‡ ู‡ูƒุฐุง ู†ุฑุณู… ุงู„ุฃุดูŠุงุก ูˆ ู†ุดูˆู
1780
+
1781
+ 446
1782
+ 00:38:18,190 --> 00:38:23,010
1783
+ ูƒุฏู‡ ู…ุง ูŠุชูˆุตู„ ู„ู†ุง ุฒูŠู‡ุง ูู„ุฃ ู‡ูˆ ุจูŠุญูƒูŠ ุฃู†ู‡ ู‡ุงูŠ ุงู„ mean
1784
+
1785
+ 447
1786
+ 00:38:23,010 --> 00:38:29,740
1787
+ ุงู„ expo ุงุฑู…ุงู„ู‡ุงู„ุณู…ุจู„ ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1788
+
1789
+ 448
1790
+ 00:38:29,740 --> 00:38:35,600
1791
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1792
+
1793
+ 449
1794
+ 00:38:35,600 --> 00:38:39,540
1795
+ ูŠุนู†ูŠ ุฃู‚ู„
1796
+
1797
+ 450
1798
+ 00:38:39,540 --> 00:38:47,240
1799
+ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช
1800
+
1801
+ 451
1802
+ 00:38:47,240 --> 00:38:48,460
1803
+ ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1804
+
1805
+ 452
1806
+ 00:38:48,460 --> 00:38:50,120
1807
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1808
+
1809
+ 453
1810
+ 00:38:50,120 --> 00:38:51,880
1811
+ ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1812
+
1813
+ 454
1814
+ 00:38:51,880 --> 00:38:52,700
1815
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1816
+
1817
+ 455
1818
+ 00:38:52,700 --> 00:38:52,720
1819
+ ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1820
+
1821
+ 456
1822
+ 00:38:52,720 --> 00:38:55,730
1823
+ ุซู„ุงุซุจุณ ุฅูŠุด ุญูƒุงูŠุฉุŸ ู„ุฅู† ู‡ูŠ ุนุงูŠุฒุฉ ุงู„ู…ู†ุทู‚ุฉ ุฏูŠ ุจุงู„ุธุจุท
1824
+
1825
+ 457
1826
+ 00:38:55,730 --> 00:39:00,210
1827
+ ู‡ูŠูƒ ุฃูŠ ู…ู†ุทู‚ุฉุŸ ุงู„ู„ูŠ ู‡ูŠูƒ ูˆู„ุง ุงู„ู„ูŠ ู‡ูŠูƒ ุฅุฐุง ุฎุฏุช ุนู„ูŠู‡ุง
1828
+
1829
+ 458
1830
+ 00:39:00,210 --> 00:39:11,010
1831
+ ุตุงุฑ ู…ุนู†ุงู‡ุงุด ุฅู† ุงู„ explore ุฃู‚ู„ ู‡ูˆ ุฅูŠุด ุณุฃู„ุŸ is more
1832
+
1833
+ 459
1834
+ 00:39:11,010 --> 00:39:16,890
1835
+ three hours below ูŠุนู†ูŠ ุชู„ุช .. ุชู„ุช ุณุงุนุงุช ุฃู‚ู„ ู…ู†
1836
+
1837
+ 460
1838
+ 00:39:16,890 --> 00:39:21,940
1839
+ ุงู„ู…ู‚ุงุตุทุจ ูƒุงู…ู„ุฉ ูƒูˆูŠุณุŸ ุฎุด ุชุดูˆู ุงู„ู…ูู‡ูˆู… ุทุจุนู‡ุง ู„ูˆ
1840
+
1841
+ 461
1842
+ 00:39:21,940 --> 00:39:26,440
1843
+ ู‚ุฏุงู…ุช ู„ูˆ ู‚ุฏุงู…ุช ุดูˆูŠุฉ ู„ู…ุง ุจู‚ุฏู… ู‡ู†ุง ุจุณ ู‡ู†ุง ุฏูŠ ู…ูŠูˆ ู†ู‚ุต
1844
+
1845
+ 462
1846
+ 00:39:26,440 --> 00:39:32,200
1847
+ ูƒุฏู‡ุดุŸ ู†ูŠู† .. ู†ูŠู† .. ูˆ ู‡ู†ุง .. ู†ู‚ุต ูˆุงุญุฏ .. ู†ู‚ุต ูˆุงุญุฏ
1848
+
1849
+ 463
1850
+ 00:39:32,200 --> 00:39:35,060
1851
+ ู…ุธุจูˆุท .. ุงู‡ ูˆ ุจุนุฏูŠู† ู…ูŠูˆ .. ูˆ ุจุนุฏุด ุงูŠู‡ ู†ู‚ุต ูˆุงุญุฏุŸ
1852
+
1853
+ 464
1854
+ 00:39:35,060 --> 00:39:41,400
1855
+ ุจุนุฏูŠู† ู…ูŠูˆ .. ุทุจ ุฃู†ุง ุนุงูŠุฒ ู‡ูŠุดุŸ ุฃูƒุชุฑ ู…ู† .. ุทุจ ุฃูƒุชุฑ
1856
+
1857
+ 465
1858
+ 00:39:41,400 --> 00:39:44,680
1859
+ ู…ู† ุชุนุงู„ูŠ ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉุŒ ุฅูŠุด ู‡ุชุตูŠุฑุŸ ู†ู‚ุต ุฃุฑุจุนุฉ .. ูˆ
1860
+
1861
+ 466
1862
+ 00:39:44,680 --> 00:39:51,190
1863
+ ู‡ูƒุฐุงุŒ ุฅุฐุง ุฃู†ุง ุนุงูŠุฒ ูˆูŠู†ุŸูŠุนู†ูŠ ุนุงูŠุฒ ู‡ุงุฏ ุงู„ู…ู†ุทู‚ุฉ ูŠุนู†ูŠ
1864
+
1865
+ 467
1866
+ 00:39:51,190 --> 00:39:54,510
1867
+ ู…ุทู„ูˆุจ probability of x minus less than u minus
1868
+
1869
+ 468
1870
+ 00:39:54,510 --> 00:39:59,490
1871
+ three ุจุงู„ุฑุบู… ุฃู†ู‡ ุญูƒู‰ more ุจุณ ุนุดุงู† ุญูƒู‰ three hours
1872
+
1873
+ 469
1874
+ 00:39:59,490 --> 00:40:03,910
1875
+ below ูู…ุนุฑุงุณูŠ ู…ุจูŠู†ุฉ ุฅุฐุง ู…ุง ุฃูƒุฏ ุงู„ุดุบู„ ู‡ู†ุง ุตุญ ุจุณ
1876
+
1877
+ 470
1878
+ 00:40:03,910 --> 00:40:08,530
1879
+ ุงู„ู„ูŠ ู‡ุงุฏ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†ู‡ ุฅุฐุง ู…ุง ุฃูƒุฏ ู‡ุงุฏ ุนู…ู„ู‡ุง
1880
+
1881
+ 471
1882
+ 00:40:08,530 --> 00:40:14,780
1883
+ replaceู„ุง ู‚ู„ู†ุง ูŠุนู†ูŠ ุงู„ุฑุณู… ูŠุง ุฏูƒุชูˆุฑ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุจูŠู†
1884
+
1885
+ 472
1886
+ 00:40:14,780 --> 00:40:20,620
1887
+ ุทุจุนุงุŒ ุงู…ุชุงุฒุฉ ุงู„ุฑุณู… ู‡ูˆ ุงู„ู„ูŠ ุจูŠุจูŠู† ูˆู‡ูŠ ุงู„ุฌูˆุงู†ุจ ุจุญุซ
1888
+
1889
+ 473
1890
+ 00:40:20,620 --> 00:40:24,140
1891
+ ููƒุฑุฉ ุงู„ู…ุซู„ุฉ ุงู„ุขู† ู„ูˆ ู…ุดูŠุช ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ู…ู† ุบูŠุฑ
1892
+
1893
+ 474
1894
+ 00:40:24,140 --> 00:40:28,400
1895
+ ู…ุฑุณูˆู… more than three hours ู„ูˆ ุฌุงู„ above the mean
1896
+
1897
+ 475
1898
+ 00:40:28,400 --> 00:40:33,180
1899
+ ุฎู„ุงุต above the mean ูŠุนู†ูŠ ู‡ู†ุง ูƒูŠู ุชุตูŠุฑ ู„ูˆ above the
1900
+
1901
+ 476
1902
+ 00:40:33,180 --> 00:40:40,470
1903
+ meanุŸ ุฑูƒุฒ ู…ุนุงู‡ุŒ ู‡ูŠ ุงู„ meanู„ูˆ ุญูƒู‰ more than three
1904
+
1905
+ 477
1906
+ 00:40:40,470 --> 00:40:43,310
1907
+ hours above the mean ู‡ุงูŠ above the mean ู…ุธุจูˆุท ู„ูˆ
1908
+
1909
+ 478
1910
+ 00:40:43,310 --> 00:40:47,530
1911
+ ู‡ูŠ ู…ูŠูˆ ุจู„ุณ ุชุฑูŠ ุญูƒู‰ more than three hours ู‡ูŠุด ุญุตูŠุฑ
1912
+
1913
+ 479
1914
+ 00:40:47,530 --> 00:40:50,790
1915
+ ู…ูŠูˆ ุฒูŠ ุงู„ุฃุฑุจุนุฉ ู‡ู†ุง ู…ุธุจูˆุท ู„ู…ุง ูƒุฏู‡ ุงู„ู…ุณุงุญุฉ ุงู„ูŠ ุนู†
1916
+
1917
+ 480
1918
+ 00:40:50,790 --> 00:40:55,570
1919
+ ุงู„ูŠู…ูŠู† ู„ูƒู† ู„ู…ุง ุญูƒู‰ ู…ูŠูˆ ุงูˆ ุงู„ sample mean is more
1920
+
1921
+ 481
1922
+ 00:40:55,570 --> 00:41:00,550
1923
+ than three hours belowู„ู…ุง ุจู…ุดูŠ ู‡ูƒ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุซู„ุงุซุŒ
1924
+
1925
+ 482
1926
+ 00:41:00,550 --> 00:41:03,690
1927
+ ุฅูŠุด ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุดู…ุงู„ุŸ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ุฃูˆ ุณุชุฉ ูˆ ู‡ูƒุฐุง
1928
+
1929
+ 483
1930
+ 00:41:03,690 --> 00:41:06,770
1931
+ ูˆ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุงูŠู†ูˆุณ ุงุชู†ูŠู† ูˆ ู…ุงูŠู†ูˆุณ ูˆุงุญุฏ ูุจุงู„ุชุงู„ูŠ
1932
+
1933
+ 484
1934
+ 00:41:06,770 --> 00:41:09,730
1935
+ ุฃู†ุง ุนุงูŠุฒ ุฃู„ุงู‚ุฑุง ููŠู‡ุง land to the left ููŠู‡ุง ุฏูŠุŒ
1936
+
1937
+ 485
1938
+ 00:41:09,730 --> 00:41:16,470
1939
+ ุฎู„ุงุตุŸ ุฅุฐุง ุฃุฎุฏู‡ุง ุฏุงูŠู…ุง ุจุงู„ุนูƒุณุŒ ุฅุฐุง ุญูƒู‰ below ูˆ ุญูƒู‰
1940
+
1941
+ 486
1942
+ 00:41:16,470 --> 00:41:21,290
1943
+ more thanุŒ ุฅุฐุง ุญูƒูŠ more ูˆ ู‡ู†ุง belowุŒ ุฃุฎุฏู‡ุง ุฃู‚ู„ ุนู„ู‰
1944
+
1945
+ 487
1946
+ 00:41:21,290 --> 00:41:26,640
1947
+ ุทูˆู„ุŒ ููŠ ุงู„ู…ุซู„ ุฅูŠุด ุญูƒูŠ ุงู„ุฃูˆู„ุงู†ูŠุฉุŸ more ู‡ูŠุจุณ ุฅูŠุดุŸ
1948
+
1949
+ 488
1950
+ 00:41:26,640 --> 00:41:30,960
1951
+ why moreุŸ ููŠ ู†ูุณ ุงู„ direction ุจุงุฎุฏ ุฃูƒุจุฑ ุนู„ู‰ ุทูˆู„ ุจุณ
1952
+
1953
+ 489
1954
+ 00:41:30,960 --> 00:41:33,880
1955
+ ุชู‚ูˆู„ูˆุง ู„ูˆ ุฅุญู†ุง ุงู†ุชุจู‡ู†ุง ุฃุตู„ุง ู‡ูˆ ู‡ุงุฏูŠ more ุชุจุน ู„ุฅู†ู‡
1956
+
1957
+ 490
1958
+ 00:41:33,880 --> 00:41:36,420
1959
+ ุงู„ูุฑู‚ ุจูŠู† ุงู„ mu ุชุจุน ุงู„ sample ูˆ ุงู„ mu ุชุจุน ุงู„
1960
+
1961
+ 491
1962
+ 00:41:36,420 --> 00:41:39,100
1963
+ population ู…ุงู„ู‡ุงุด ุฏุฎู„ ุจุงู„ probability ูŠุนู†ูŠ ุจุญูƒูŠู„ูƒ
1964
+
1965
+ 492
1966
+ 00:41:39,100 --> 00:41:42,200
1967
+ ุฅุญุชู…ุงู„ูŠุฉ ุฅู† ุงู„ sample ู…ูŠู† ู‡ูˆ ุงู„ุฃูƒุชุฑ ู…ู† ุงู„
1968
+
1969
+ 493
1970
+ 00:41:42,200 --> 00:41:46,380
1971
+ population ู…ูŠู†ุŸ ุงู„ probability ู‡ูˆ ุทุงู„ุจ ุงู„
1972
+
1973
+ 494
1974
+ 00:41:46,380 --> 00:41:49,240
1975
+ probability ู„ู„ sample ู…ูŠู†ุŸ ุงู‡ ูŠุนู†ูŠ more ู‡ุงุฏูŠ more
1976
+
1977
+ 495
1978
+ 00:41:49,240 --> 00:41:52,920
1979
+ ู…ุงู„ู‡ุงุด ุฏุฎู„ ุจุงู„ probability ู„ุฃ ุฅู„ู‰ ุฏุงุฎู„ ูˆูŠู†ุŸ ุฅู†ู‡
1980
+
1981
+ 496
1982
+ 00:41:52,920 --> 00:41:57,360
1983
+ ุฃู†ุง ุนุงูŠุฒ ุงู„ sample ู…ูŠู†ุŸูŠูƒูˆู† ุฃูƒุชุฑ ู…ู† ุงู„ population
1984
+
1985
+ 497
1986
+ 00:41:57,360 --> 00:42:03,640
1987
+ mean ุจ 3 ุณุงุนุงุช ุจุณ below ูŠุนู†ูŠ ู…ูŠูˆ minus 3 minus 4
1988
+
1989
+ 498
1990
+ 00:42:03,640 --> 00:42:06,140
1991
+ minus 5 and so on
1992
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/BLE2JYtIUUg_raw.srt ADDED
@@ -0,0 +1,2040 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:22,250
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู…
4
+
5
+ 2
6
+ 00:00:22,250 --> 00:00:24,090
7
+ ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:24,090 --> 00:00:24,410
11
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
12
+
13
+ 4
14
+ 00:00:24,410 --> 00:00:25,210
15
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
16
+
17
+ 5
18
+ 00:00:25,210 --> 00:00:25,590
19
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
20
+
21
+ 6
22
+ 00:00:25,590 --> 00:00:26,070
23
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
24
+
25
+ 7
26
+ 00:00:26,070 --> 00:00:26,170
27
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
28
+
29
+ 8
30
+ 00:00:26,170 --> 00:00:26,190
31
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
32
+
33
+ 9
34
+ 00:00:26,190 --> 00:00:26,190
35
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡
36
+
37
+ 10
38
+ 00:00:26,190 --> 00:00:29,330
39
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…
40
+
41
+ 11
42
+ 00:00:29,330 --> 00:00:36,810
43
+ ุจุณู…
44
+
45
+ 12
46
+ 00:00:36,810 --> 00:00:37,810
47
+ ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู†
48
+
49
+ 13
50
+ 00:00:37,810 --> 00:00:43,290
51
+ ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญู…ู† ุงู„ุฑุญ
52
+
53
+ 14
54
+ 00:00:47,280 --> 00:00:49,700
55
+ ุฅูŠุด ุฃู†ุชูˆุง ุนุงูŠุฒูŠู†ุŸ ุงุนู†ูŠ ุงุฏูŠู†ูŠ ุณุคุงู„ ู…ุญุฏุฏ ุงูุถู„ ุงูŠู‡
56
+
57
+ 15
58
+ 00:00:49,700 --> 00:00:52,520
59
+ ุจู‚ู‰ ุฃูˆ ุงู†ุง ู…ู…ูƒู† ุงุดุชุฑูŠ ู…ู† ุงู„ุฃูˆู„ ู…ู† ุงู„ุฃูˆู„ .. ู…ู†
60
+
61
+ 16
62
+ 00:00:52,520 --> 00:00:58,680
63
+ ุงู„ุฃูˆู„ .. ูŠุนู†ูŠ practice ..
64
+
65
+ 17
66
+ 00:01:22,020 --> 00:01:29,160
67
+ ู…ุงุดูŠ ุจุดูˆู ูƒุฏู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ู„ุฃ ู‡ุจุฏุฃ question number
68
+
69
+ 18
70
+ 00:01:29,160 --> 00:01:35,230
71
+ one ุฃู†ุง ุจุฏูŠ ุฃู‚ุฑุง ุงู„ุณุคุงู„ ุฃูู‡ู…ูƒ ุงู„ู…ุนู†ู‰ ุชุจุนู‡ูˆ ุงุนุฑููƒ
72
+
73
+ 19
74
+ 00:01:35,230 --> 00:01:38,290
75
+ ุงูŠุด ุงู„ keyboards ุงู„ู„ูŠ ุงุญู†ุง ุนุงูŠุฒูŠู†ู‡ุง ูŠุนู†ูŠ ูƒู„ู…ุงุช
76
+
77
+ 20
78
+ 00:01:38,290 --> 00:01:42,310
79
+ ุงู„ู…ูุชุงุญูŠุฉ ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡ุง ุจุนุฑู ุงู„ุญู„ ูˆ ุจุนุฏูŠู† ุจู‚ุฏุฑ
80
+
81
+ 21
82
+ 00:01:42,310 --> 00:01:45,830
83
+ ุงุดูŠู„ ุฅุฌุงุจุงุช ู…ุด ุตุญูŠุญุฉ ูˆ ุชู… ุนูŠุฏู†ูŠ ู…ู…ูƒู† ุฅุฌุงุจุฉ ุงูˆ
84
+
85
+ 22
86
+ 00:01:45,830 --> 00:01:49,990
87
+ ุชู†ุชูŠู† ู‡ู…ุง ุงู„ุตุญ ูุจุฎุชุงุฑ ุงู„ correct answer ุงู„ sample
88
+
89
+ 23
90
+ 00:01:49,990 --> 00:01:53,150
91
+ distribution describe distribution of ุงุญู†ุง ุฃุฎุฏู†ุง
92
+
93
+ 24
94
+ 00:01:53,150 --> 00:01:56,830
95
+ ู‚ุจู„ ู‡ูŠูƒู… ุงู„ sample distribution ุจูŠุนู…ู„ distribution
96
+
97
+ 25
98
+ 00:01:56,830 --> 00:02:02,670
99
+ ู„ statistic ุงู…ุง ู‡ูŠูƒูˆู† ุงู„ sample meanุฃูˆ ุงู„ู€ sample
100
+
101
+ 26
102
+ 00:02:02,670 --> 00:02:05,970
103
+ of proportion ุฏูŠ ุดุฑุญ ุฎุจุท ุจูŠู†ู‡ ูˆุจูŠู† ุงู„ hypothesis
104
+
105
+ 27
106
+ 00:02:05,970 --> 00:02:08,830
107
+ ุงู„ hypothesis ุจูŠูƒูˆู† ุงู„ claim about the population
108
+
109
+ 28
110
+ 00:02:08,830 --> 00:02:11,650
111
+ parameter ู‡ู†ุงูƒ ุฅุฐุง ุงู†ุชุดุฑุช ุชุณุนุฉ ูƒู„ู…ุฉ ุนู† ุงู„
112
+
113
+ 29
114
+ 00:02:11,650 --> 00:02:14,450
115
+ population parameter ูŠุนู†ูŠ ุจุชูƒู„ู… ุนู† ุงู„ ู…ูŠูˆ ูˆุนู†
116
+
117
+ 30
118
+ 00:02:14,450 --> 00:02:17,960
119
+ ุงู„ุจูˆุนูŠููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุจุนุฉ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ
120
+
121
+ 31
122
+ 00:02:17,960 --> 00:02:21,960
123
+ ู…ุฌู…ูˆุนุฉ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ ู…ุฌู…ูˆุนุฉ
124
+
125
+ 32
126
+ 00:02:21,960 --> 00:02:33,320
127
+ ุงู„ุงุณุชุงุชูŠุณุชูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒูŠูƒ
128
+
129
+ 33
130
+ 00:02:42,000 --> 00:02:44,680
131
+ both parameters and statistics ุทุจุนุง ู„ุฃ ูุงู„ุชุงู„ูŠ
132
+
133
+ 34
134
+ 00:02:44,680 --> 00:02:48,060
135
+ correct answer is C ุฅุฐุง ุงู„ first one C is correct
136
+
137
+ 35
138
+ 00:02:48,060 --> 00:02:53,180
139
+ I just want to double check if the answers I mean
140
+
141
+ 36
142
+ 00:02:53,180 --> 00:02:55,960
143
+ answer key is correct or not at the end of your
144
+
145
+ 37
146
+ 00:02:55,960 --> 00:02:59,440
147
+ book ุญู†ุชุฃูƒุฏ ุฅูŠู‡ ุจุณ ุตุญูŠุญ ูˆู„ุง ู„ุฃ ุงู„ correct answer
148
+
149
+ 38
150
+ 00:02:59,440 --> 00:03:05,340
151
+ is C which is correct number two true or .. ุฅุฐุง
152
+
153
+ 39
154
+ 00:03:05,340 --> 00:03:10,840
155
+ one C number two true or falseุงู„ู€ Sample
156
+
157
+ 40
158
+ 00:03:10,840 --> 00:03:15,780
159
+ Distribution is defined as a probability
160
+
161
+ 41
162
+ 00:03:15,780 --> 00:03:20,020
163
+ distribution of sample sizes that can be observed
164
+
165
+ 42
166
+ 00:03:20,020 --> 00:03:27,780
167
+ from a given population ุฑู‚ู… ุงุชู†ูŠู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ู€
168
+
169
+ 43
170
+ 00:03:27,780 --> 00:03:29,940
171
+ Sample Distribution is defined as a probability
172
+
173
+ 44
174
+ 00:03:29,940 --> 00:03:34,260
175
+ distribution of possible sample sizes that can be
176
+
177
+ 45
178
+ 00:03:34,260 --> 00:03:38,250
179
+ observed ู‡ูˆ ุงู„ู€ Sample Distribution ูŠุนุทูŠุจูŠุนุทูŠู†ูŠ
180
+
181
+ 46
182
+ 00:03:38,250 --> 00:03:40,130
183
+ ุงู„ู€ mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ center ุจูŠุนุทูŠู†ูŠ ุงู„ spread
184
+
185
+ 47
186
+ 00:03:40,130 --> 00:03:45,350
187
+ ุจูŠุนุทูŠู†ูŠ ุงู„ shape ูุจุงู„ุชุงู„ูŠ ุงู† ู‡ูˆ .. ู‡ูˆ ุจูŠุญูƒูŠ ุชุนุฑูŠูู‡
188
+
189
+ 48
190
+ 00:03:45,350 --> 00:03:48,870
191
+ ุนุจุงุฑุฉ ุนู† probability of distribution ุทุจุนุง ู„ุฃ ู‡ูˆ
192
+
193
+ 49
194
+ 00:03:48,870 --> 00:03:51,610
195
+ ุจูŠุนุทูŠ ุงู„ center ุงูˆ ุงู„ spread ุงูˆ ุงู„ shape ูุจุงู„ุชุงู„ูŠ
196
+
197
+ 50
198
+ 00:03:51,610 --> 00:03:54,290
199
+ ุจูŠุนุทูŠุด probability ูƒ .. ู„ู…ุง ุจุญูƒูŠ ู„ูƒ ุงู„ X bar ุจุณูˆุงุฉ
200
+
201
+ 51
202
+ 00:03:54,290 --> 00:03:57,570
203
+ ุฎู…ุณูŠู† ู‡ู„ ุจูŠุนุทูŠู†ูŠ probability ู„ุฃ ุงุนุทุงู†ูŠ ุงู„ center
204
+
205
+ 52
206
+ 00:03:57,570 --> 00:04:02,230
207
+ ุชุจุนู‡ุง ุจุณูˆุงุฉ ุฎู…ุณูŠู† ูˆุงุถุญุŸ ุฅุฐุง ู„ู…ุง ุจุญูƒูŠ send
208
+
209
+ 53
210
+ 00:04:02,230 --> 00:04:06,440
211
+ distribution of X barุงู„ู‚ูŠู… ู‡ูˆ 16 ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู…
212
+
213
+ 54
214
+ 00:04:06,440 --> 00:04:09,600
215
+ ุงู„ุตุญูŠุญุฉ 10 ู…ุงุนุทุงู†ูŠุด ุงู„ุจุฑุงุจูŠุฑูŠุง ุชุจุนู‡ุง ุชุนุทุงู†ูŠ ุงู„ู‚ูŠู…
216
+
217
+ 55
218
+ 00:04:09,600 --> 00:04:14,740
219
+ ู„ู„ู‚ูŠู… ุฃูˆ ุงู„ู‚ูŠู… ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ุดูƒู„ ู†ูุณู‡ุง ุฅุฐู† ุจูŠ is
220
+
221
+ 56
222
+ 00:04:14,740 --> 00:04:22,000
223
+ the correct answer ุฅุฐู† ุงุชู†ูŠู† ุจูŠ ุฑู‚ู… ุชู„ุงุชุฉ ุงู„ุชู„ุงุชุฉ
224
+
225
+ 57
226
+ 00:04:22,000 --> 00:04:24,640
227
+ ุจูŠุญูƒูŠ amount of time it takes to complete an
228
+
229
+ 58
230
+ 00:04:24,640 --> 00:04:29,090
231
+ examination has left skewed distributionุงู„ุฒู…ู† ุงู„ู„ูŠ
232
+
233
+ 59
234
+ 00:04:29,090 --> 00:04:33,630
235
+ ู„ุงุฒู… ุนุดุงู† ุชุญุณุจ it takes a complete examination
236
+
237
+ 60
238
+ 00:04:33,630 --> 00:04:38,630
239
+ ุชุฎู„ุต ุงู„ุงู†ุชุญุงู† ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ left skewedุŸ ุชูˆุฒูŠุน ู…ุด
240
+
241
+ 61
242
+ 00:04:38,630 --> 00:04:42,110
243
+ normal ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู„ูŠุดุŸ left skewed with a mean of
244
+
245
+ 62
246
+ 00:04:42,110 --> 00:04:46,290
247
+ 65 minutes and standard deviation of 8 minutes if
248
+
249
+ 63
250
+ 00:04:46,290 --> 00:04:49,950
251
+ 64 students were randomly sampled ุฃุฎุฏ ุนูŠู†ุฉ ูƒุจูŠุฑุฉ
252
+
253
+ 64
254
+ 00:04:49,950 --> 00:04:56,180
255
+ ูˆู„ุง ุตุบูŠุฑุฉุŸูƒุจูŠุฑุฉุŒ ุชุฐูƒุฑ ุงุญู†ุง ุญูƒูŠู†ุง ู„ู…ุง ุชูƒูˆู† ุนู†ุฏู‡ for
256
+
257
+ 65
258
+ 00:04:56,180 --> 00:04:59,540
259
+ most distributions ู„ู…ุง n is large, large enough it
260
+
261
+ 66
262
+ 00:04:59,540 --> 00:05:01,760
263
+ means greater than 30 then we can assume the
264
+
265
+ 67
266
+ 00:05:01,760 --> 00:05:04,600
267
+ popularly standard distribution of the standard
268
+
269
+ 68
270
+ 00:05:04,600 --> 00:05:08,140
271
+ mean is approximately normally distributedู„ูˆ ูƒุงู†ุช
272
+
273
+ 69
274
+ 00:05:08,140 --> 00:05:11,420
275
+ N ุฃูƒุจุฑ ู…ู† 30 ูˆุญูƒูŠู†ุง for fair distribution ู„ูˆ ูƒุงู†ุช
276
+
277
+ 70
278
+ 00:05:11,420 --> 00:05:15,980
279
+ N ุฃูƒุจุฑ ู…ู† 15 ููˆุงุถุญ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู‡ left skewed ูˆ
280
+
281
+ 71
282
+ 00:05:15,980 --> 00:05:19,620
283
+ ุงู„ sample size ุฃุฎุฏุช ุฃุฏูŠุงุด 64 ูŠุนู†ูŠ ุนุฏุงุฏู‡ุง ุฃูŠุงุด more
284
+
285
+ 72
286
+ 00:05:19,620 --> 00:05:23,800
287
+ than 30 more than 30 ุฅุฐุง we are okay we are sample
288
+
289
+ 73
290
+ 00:05:23,800 --> 00:05:26,960
291
+ the probability that the sample mean of the sample
292
+
293
+ 74
294
+ 00:05:26,960 --> 00:05:30,740
295
+ distribution exceeds 71 minutes is approximately
296
+
297
+ 75
298
+ 00:05:30,740 --> 00:05:37,660
299
+ zeroูˆุงู„ู„ู‡ ู„ุฎุจุทู†ุง ู‡ูŠูƒ ูŠุนู†ูŠ ุงู†ุง ูƒู†ุช ู‡ููƒุฑ ุณูˆุงุก ููŠ
300
+
301
+ 76
302
+ 00:05:37,660 --> 00:05:41,280
303
+ ุงุชุฌุงู‡ ุงู†ู‡ ูŠู‚ูˆู„ูŠ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุทู„ู‚ ุจูŠุญูƒูŠ ู„ุฃ
304
+
305
+ 77
306
+ 00:05:41,280 --> 00:05:45,340
307
+ ู‡ูˆ ุนุงูŠุฒ ุงู„ mean ู„ุญุธุฉ ู…ุด ุจูŠุญูƒูŠ ุงู†ุง ู‡ุฐุง ู„ุฎุจุทูƒ ุฎุงุฑุฌ
308
+
309
+ 78
310
+ 00:05:45,340 --> 00:05:49,160
311
+ ุจุฏูˆู„ ุงู„ probability ุจุชุฑูƒุฒ ููŠ ุงู„ุฃูˆู„ ุงู„ X bar ุงู„ ู‡ูˆ
312
+
313
+ 79
314
+ 00:05:49,160 --> 00:05:52,480
315
+ approximately normal ู…ุธุจูˆุทุŸ ู…ุชูู‚ูŠู† ุนู„ูŠู‡ุง normal
316
+
317
+ 80
318
+ 00:05:52,480 --> 00:05:57,660
319
+ distributed ู…ุชูู‚ูŠู† ุนู„ูŠู‡ุง ุจุณ ุญูƒุงู„ูŠ with mean ู‚ุฏุงุดุฑ
320
+
321
+ 81
322
+ 00:05:57,660 --> 00:06:06,980
323
+ 65 ู…ุธุจูˆุทุŸ ูˆ ุงู„ sigmaุทุจ ุฅูŠุด ูƒุงู† ุนุงูŠุฒุŸ ู„ุจุฑูˆุงุจูŠู„ุชูŠ ุฅู†
324
+
325
+ 82
326
+ 00:06:06,980 --> 00:06:14,020
327
+ ุณุงู… ุจุงู„ู…ูŠู† ู…ุงู„ูˆ ุงูƒุณูŠุฑ ุงู„ 71 ูˆู…ุง ุจูŠุญูƒูŠ ุงู„ุฌูˆุงุจ ุฅูŠุด
328
+
329
+ 83
330
+ 00:06:14,020 --> 00:06:21,800
331
+ ุจูŠุณุงูˆูŠ ุจูŠุชุฃูƒุฏ ู‡ู„ ุงู„ุฌูˆุงุจ ุจูŠุณุงูˆูŠ ุตูุฑ ูˆู„ุง ู„ุฃ ุจูŠุญู„
332
+
333
+ 84
334
+ 00:06:21,800 --> 00:06:25,180
335
+ ุงู„ู…ุซู„ุฉ ุฃู†ุง ุตุฑุช ู…ุด ุจุฑุญู„ ุงู„ู…ุซู„ุฉ ุฃู†ุง ูƒู†ุช ูุงูƒุฑ ุฃุญูƒูŠ
336
+
337
+ 85
338
+ 00:06:25,180 --> 00:06:30,800
339
+ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุจุญุงูˆู„ูŠ ุนู„ู‰ ุงู„ Z ู…ุธุจูˆุท ุงู„ CZ
340
+
341
+ 86
342
+ 00:06:30,800 --> 00:06:37,430
343
+ ุฃูƒุจุฑ ู…ู† 71 minus the meanover sigma 8 ุนู„ู‰ square
344
+
345
+ 87
346
+ 00:06:37,430 --> 00:06:42,570
347
+ root ู„ู„ N ุงู„ N ูƒุฏู‡ุŸ 64 ู‡ูˆ ุฃุนุทุงูƒ ุฅูŠุงู‡ุง ุนุดุงู† ุฃุนุฑู
348
+
349
+ 88
350
+ 00:06:42,570 --> 00:06:46,350
351
+ ุฃุทู„ุน ู…ูŠู†ุŸ ุฃู‡ ุจุงู„ุธุจุท ุนุดุงู† ุฃุนุฑู ุฃุทู„ุน ุงู„ square root
352
+
353
+ 89
354
+ 00:06:46,350 --> 00:06:54,430
355
+ ุชูƒูˆู† ู…ุซู„ุง ุจุฏูŠู‡ุงุด calculator ู‡ุฐุง ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ
356
+
357
+ 90
358
+ 00:06:54,430 --> 00:07:01,010
359
+ ู‡ุฏูˆู„ ุงู„ุจุตุด ู…ูˆุฌูˆุฏุŸsix ุจุนุฏูŠู† ุชู…ุงู†ูŠุฉ ุน ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒ
360
+
361
+ 91
362
+ 00:07:01,010 --> 00:07:07,690
363
+ ูŠุนู†ูŠ ุจุฏูˆุฑ ุนู„ู‰ P of Z ุฃูƒุจุฑ ู…ู† ุณุชุฉ Z ุฃูƒุจุฑ ู…ู† ุณุชุฉ ุงู‡
364
+
365
+ 92
366
+ 00:07:07,690 --> 00:07:12,730
367
+ ูˆุงุญุฏ ุจูŠุทู„ุน ูˆุงุญุฏ ู†ู‚ุต ูˆุงุญุฏ ูˆุงุญุฏ ู†ู‚ุต ุณูŠ ุงู‡ ู‡ุงูŠ ุงู„ุณุชุฉ
368
+
369
+ 93
370
+ 00:07:12,730 --> 00:07:18,600
371
+ ุงู„ุณุชุฉ ูˆูŠู† ุงู„ white side ุนู„ู‰ ููˆู‚ ุงู„ุนู„ุจูŠุฉุงู„ู€ tab
372
+
373
+ 94
374
+ 00:07:18,600 --> 00:07:21,740
375
+ ุงู„ู…ุนุทู‰ ุงู„ area ู„ูˆูŠู†ุŸ to the left ุทุจุนุง z ุงู„ area to
376
+
377
+ 95
378
+ 00:07:21,740 --> 00:07:25,680
379
+ the left sideุŒ ู…ุธุจูˆุทุŸ ุงุฐุง this equals one minus b
380
+
381
+ 96
382
+ 00:07:25,680 --> 00:07:31,760
383
+ of z less than six ุงู„ tab ุงู„ู…ุนุทุงู†ูŠ ู„ุบุงูŠุฉ 3.4 ูˆ ุฌูˆ
384
+
385
+ 97
386
+ 00:07:31,760 --> 00:07:38,000
387
+ ูƒุงู† 9998 ููŠ ุงู„ุงุฎุฑุŒ ุงุฐุง ุชู‚ุฑูŠุจุง ูˆุงุญุฏุŒ ุงุฐุง ู‡ุฐู‡ ูˆุงุญุฏุŒ
388
+
389
+ 98
390
+ 00:07:38,000 --> 00:07:41,440
391
+ ุงุฐุง ุงู„ุฌุงู…ุนู‡ ู…ุด ุณุงูˆูŠุŒ ูŠุนู†ูŠ ุงู„ุฌุงู…ุนู‡ ุตุญุŒ ู„ุงุญุธุฉ ุงู†ุง
392
+
393
+ 99
394
+ 00:07:41,440 --> 00:07:44,940
395
+ ุญู„ุช ุงู„ู…ุซู„ ุงุณุชุฎุฏู…ุช calculatorูˆู„ุง ุงุณุชุฎุฏุงู… ุงู„ table
396
+
397
+ 100
398
+ 00:07:44,940 --> 00:07:47,980
399
+ ู‡ุงูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒ ุงูˆุตู„ู„ูƒูŠู‡ุง ูŠุนู†ูŠ ุจู…ู…ูƒู† ุงุญู„ูŠ ู…ุซู„ุง
400
+
401
+ 101
402
+ 00:07:47,980 --> 00:07:53,020
403
+ .. ุทุจ ู‡ูˆ ู…ุด .. ู…ุด ู‡ูŠูƒ ู‡ุช .. ู‡ุชุงูƒู„ in 64 ุนุดุงู† ุชูƒูˆู†
404
+
405
+ 102
406
+ 00:07:53,020 --> 00:07:58,920
407
+ ุงู„ calculations ู…ุงู„ู‡ุงุŒ ุชูƒูˆู† ุงู„ุญุณุงุจุงุช ู…ุงู„ู‡ุงุŒ ุณู‡ู„ุฉุŒ
408
+
409
+ 103
410
+ 00:07:58,920 --> 00:08:04,660
411
+ ุงุฐุง ุงู†ุง ุงุดูŠ ุฌูˆุงุจุŸtrue ุฅุฐุงู‹ ุชู„ุงุชุฉ ุงู„ answer is a
412
+
413
+ 104
414
+ 00:08:04,660 --> 00:08:09,860
415
+ ูˆุงุถุญ ุงู„ููƒุฑุฉ ุฅุฐุง ุงู„ู…ุซู„ุฉ ุจูŠุญูƒูŠู„ูƒ ุญู„ ู…ุณุชู„ุงุช X bar
416
+
417
+ 105
418
+ 00:08:09,860 --> 00:08:16,160
419
+ ุฃูƒุจุฑ ู…ู† 71 ุญู„ุชู‡ุง ุจ steps ุตุบูŠุฑุฉ ุทู„ุนุช ุฌูˆุงุจ ุชู‚ุฑูŠุจุง ุจ
420
+
421
+ 106
422
+ 00:08:16,160 --> 00:08:20,500
423
+ 0.00 ูุจุฏูŠ ูˆุงุญุฏุฉ ู…ู†ูƒู… ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุชุทู„ุน
424
+
425
+ 107
426
+ 00:08:20,500 --> 00:08:25,280
427
+ ุงู„ุฌูˆุงุจ ุบู„ุท ูŠุนู†ูŠ ุบูŠุฑ ุงู„ู…ุซู„ุฉequal one ู…ู…ูƒู†
428
+
429
+ 108
430
+ 00:08:25,280 --> 00:08:29,260
431
+ approximately ู…ุซู„ุง ุงู‡ equal one ุงู‡ ุทุจุนุง ู„ุฃ ู‡ูŠ ุงู„
432
+
433
+ 109
434
+ 00:08:29,260 --> 00:08:32,740
435
+ equal one ู‡ุฐู‡ ู„ุฃู‚ู„ ู…ู† ุณุชุฉ equal one ุงู‡ ู„ุฃู‚ู„ ู„ุฃู‚ู„
436
+
437
+ 110
438
+ 00:08:32,740 --> 00:08:37,340
439
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
440
+
441
+ 111
442
+ 00:08:37,340 --> 00:08:39,760
443
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
444
+
445
+ 112
446
+ 00:08:39,760 --> 00:08:42,420
447
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
448
+
449
+ 113
450
+ 00:08:42,420 --> 00:08:43,500
451
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
452
+
453
+ 114
454
+ 00:08:43,500 --> 00:08:50,320
455
+ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„ ู„ุฃู‚ู„
456
+
457
+ 115
458
+ 00:08:50,320 --> 00:08:51,120
459
+ ู„ุฃู‚
460
+
461
+ 116
462
+ 00:08:54,130 --> 00:09:01,890
463
+ ุฎู„ุตู†ุง ุชู„ุงุชุฉ ุงูŠู‡ุŸ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุงูŠู‡ ุงู„ุชู„ุงุชุฉ ุงูŠู‡ุŸ ุฑู‚ู…
464
+
465
+ 117
466
+ 00:09:01,890 --> 00:09:10,550
467
+ ุงุฑุจุนุฉ The
468
+
469
+ 118
470
+ 00:09:10,550 --> 00:09:15,110
471
+ distribution of the number of loaves of bread sold
472
+
473
+ 119
474
+ 00:09:15,110 --> 00:09:19,590
475
+ per week by large bakery over the past five years
476
+
477
+ 120
478
+ 00:09:19,590 --> 00:09:28,670
479
+ has a mean of7750 ู‡ุงูŠ ุงู„ู…ูŠู† ูˆุตูุฉ
480
+
481
+ 121
482
+ 00:09:28,670 --> 00:09:32,830
483
+ ุงู„ุดู…ุณ 1450
484
+
485
+ 122
486
+ 00:09:32,830 --> 00:09:39,370
487
+ ู…ูŠุฉ ูˆุฎู…ุณุฉ ูˆุงุฑุจุนูŠู† ุงุฐุง
488
+
489
+ 123
490
+ 00:09:39,370 --> 00:09:44,830
491
+ ูƒุงู†ุช ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏHas been
492
+
493
+ 124
494
+ 00:09:44,830 --> 00:09:48,810
495
+ selected what's the approximate probability that
496
+
497
+ 125
498
+ 00:09:48,810 --> 00:09:52,230
499
+ the mean number of loaves sold in the same brief
500
+
501
+ 126
502
+ 00:09:52,230 --> 00:09:59,350
503
+ sealed ู‡ูˆ ุจุญูƒูŠ ุฃูŠุด ุงู„ mean ุฎู„ูŠ ุจุงู„ูƒ is an x bar
504
+
505
+ 127
506
+ 00:09:59,350 --> 00:10:04,930
507
+ ุฃูƒุจุฑ ู…ู† seven thousand eight hundred ninety five
508
+
509
+ 128
510
+ 00:10:04,930 --> 00:10:08,430
511
+ ุจุฏูˆุง ุงู„ mean ุฅูŠุด ุจูŠุณุงูˆูŠ ู†ูุณ ุงู„ุณุคุงู„ ุฏู‡ ุจุงู„ุธุจุท
512
+
513
+ 129
514
+ 00:10:08,430 --> 00:10:09,370
515
+ ุญุงูˆู„ูˆุง ู„ู„ z
516
+
517
+ 130
518
+ 00:10:14,740 --> 00:10:26,540
519
+ minus ุงู„ mean ุนู„ู‰ ุงู„ sigma over 40 ุจุชุญู„ูŠู‡ุง ูˆ
520
+
521
+ 131
522
+ 00:10:26,540 --> 00:10:29,560
523
+ ุจุชุชุฃูƒุฏ ู…ู† ุงู„ุฌูˆุงุจ ุงู† ููŠ ุฌู‡ุฉ ุฏู‡ ูˆู‚ุช ููŠู‡ุง ู…ุด ู‡ูŠูƒ ู†ูุณูƒ
524
+
525
+ 132
526
+ 00:10:29,560 --> 00:10:35,860
527
+ ุชููƒุฑู‡ ุนุดุงู† ุถูŠู‚ุฉ ูˆ ุจูŠุญูƒูŠ ุงู„ุฌูˆุงุจ ู†ุนู… ุจุชู„ุนุจ ุตุญูŠุญ ุงุฐุง
528
+
529
+ 133
530
+ 00:10:35,860 --> 00:10:39,660
531
+ ุนุงูŠุฒูƒ ุงู„ base ุจุณ ุช check this result ุจุชุฃูƒุฏ ู…ู†ู‡ุง
532
+
533
+ 134
534
+ 00:10:39,660 --> 00:10:43,970
535
+ ุจุชุฃูƒุฏ ุงู„ุญู„ ุตุญ ูˆู„ุง ู„ุฃุฅุฐุง ูˆุงุถุญ ู†ูุณ ุงู„ secret ุงู„ุณุคุงู„
536
+
537
+ 135
538
+ 00:10:43,970 --> 00:10:54,490
539
+ ุชู„ุงุชุฉ ู…ุงุดูŠ ุจุณ ุฃู‚ุฑุง ุฎู…ุณุฉ ุฎู…ุณุฉ major league baseball
540
+
541
+ 136
542
+ 00:10:54,490 --> 00:11:04,530
543
+ salaries average 3.26 ู…ู„ูŠูˆู† ุจูŠุชูƒู„ู… ุนู„ู‰ ู…ูŠู†ุŸ ุจูŠุชูƒู„ู…
544
+
545
+ 137
546
+ 00:11:04,530 --> 00:11:08,230
547
+ ุนู„ู‰ ุฑูˆุงุชุจ ุชุจุนูˆู† ุงู„ .. ุงู„ baseball ุงุฐุง ุฏูˆู„ ุฑูˆุงุชุจู‡ู…
548
+
549
+ 138
550
+ 00:11:08,230 --> 00:11:12,450
551
+ ุถุฎู…ุฉูŠุนู†ูŠ ู„ูˆ ุฃุชุนู„ู… ู„ุนุจุฉ ุฒูŠ ู‡ูŠูƒ ูˆ ู†ูุณ ุงู„ statistics
552
+
553
+ 139
554
+ 00:11:12,450 --> 00:11:17,510
555
+ ูƒุงู† ุฃุญุณู† ู…ุธุจูˆุทุŸ ู‡ูˆ ุจูŠุญูƒูŠ ุฑูˆุงุชุจ ูƒุฏู‡ุดุŸ 3.26 ู…ู„ูŠูˆู†
556
+
557
+ 140
558
+ 00:11:17,510 --> 00:11:22,150
559
+ with standard deviation of 1.2 suppose a sum of
560
+
561
+ 141
562
+ 00:11:22,150 --> 00:11:27,230
563
+ hundred funds approximate ู†ูุณ ุงู„ู‚ุตุฉุŒ ุฅุฐุง ุงู„ุฎู…ุณุฉ
564
+
565
+ 142
566
+ 00:11:27,230 --> 00:11:34,850
567
+ similar ูˆุงุถุญุŸ ุฎู…ุณุฉ ุฒูŠ ูˆ ุชุดุฌุน ู†ุถุงูŠู‚ ูˆู‚ุช ูˆุฎู…ุณุฉ ุฌูˆุงุจ
568
+
569
+ 143
570
+ 00:11:34,850 --> 00:11:36,250
571
+ ุฏูŠุŒ six
572
+
573
+ 144
574
+ 00:11:39,150 --> 00:11:43,870
575
+ ุฎู…ุณุฉ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง
576
+
577
+ 145
578
+ 00:11:43,870 --> 00:11:48,490
579
+ ุฎู…ุณุฉ
580
+
581
+ 146
582
+ 00:11:48,490 --> 00:11:52,790
583
+ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง ุฎู…ุณุฉ ูˆ ุณุชุฉ ู…ุซู„ู‹ุง
584
+
585
+ 147
586
+ 00:12:08,580 --> 00:12:12,940
587
+ At a computer manufacturing company ุจุชูƒู„ู… ุนู„ู‰ ุดุฑูƒุฉ
588
+
589
+ 148
590
+ 00:12:12,940 --> 00:12:17,200
591
+ ุตู†ุงุนุฉ ุงู„ุญูˆุงุตูŠู„ The actual size of computer chips
592
+
593
+ 149
594
+ 00:12:17,200 --> 00:12:21,440
595
+ is normally distributed of a mean with a mean of
596
+
597
+ 150
598
+ 00:12:21,440 --> 00:12:29,060
599
+ one centimeter ุงู„ mean ูˆุงุญุฏ and standard deviation
600
+
601
+ 151
602
+ 00:12:29,060 --> 00:12:34,380
603
+ of point one a random sample of twelve
604
+
605
+ 152
606
+ 00:12:37,080 --> 00:12:41,500
607
+ in equal twelve ูˆู„ุญุธุฉ ูˆุญูƒู‰ ููŠ ุงู„ุฃุตู„ ุนู†ุฏู‰ ุชูˆุฒูŠุน
608
+
609
+ 153
610
+ 00:12:41,500 --> 00:12:44,620
611
+ ุทุจูŠุนู‰ ู…ุด ู‡ูŠูƒ ุนู„ุดุงู† ูƒุฏู‡ ุงู†ุช normal ู„ุฃู† ุงู„ in is
612
+
613
+ 154
614
+ 00:12:44,620 --> 00:12:47,840
615
+ small in this case to solve the problem we have to
616
+
617
+ 155
618
+ 00:12:47,840 --> 00:12:50,280
619
+ assume the population is normal otherwise you
620
+
621
+ 156
622
+ 00:12:50,280 --> 00:12:56,180
623
+ can't continue because we in chapter seven we are
624
+
625
+ 157
626
+ 00:12:56,180 --> 00:13:00,510
627
+ talking about if in is large enoughthen the sample
628
+
629
+ 158
630
+ 00:13:00,510 --> 00:13:03,590
631
+ sizes doesn't matter ู…ุด ู…ุดูƒู„ุฉ ุญุฌู… ุงู„ุนูŠู†ุฉ ู„ูƒู† ู„ู…ุง
632
+
633
+ 159
634
+ 00:13:03,590 --> 00:13:07,810
635
+ ุชูƒูˆู† n ุตุบูŠุฑุฉ ุงู„ sample size ุจูŠูƒูˆู† ู…ู‡ู… ุฅุฐุง ุงู„ุญูƒุงูŠุฉ
636
+
637
+ 160
638
+ 00:13:07,810 --> 00:13:12,010
639
+ ุชุญูƒูŠู„ูŠ ุทุจูŠุนูŠ ุจุชุฑูŠุญูƒ n equal to twelve ูˆ ุจุตุฏุฑ
640
+
641
+ 161
642
+ 00:13:12,010 --> 00:13:15,970
643
+ ุจุฑู†ุงู…ุฌ ุงู„ ุงู„ sample mean will be below ุงู„ mean
644
+
645
+ 162
646
+ 00:13:15,970 --> 00:13:22,150
647
+ will be below 9.95 ุจู†ูุณ
648
+
649
+ 163
650
+ 00:13:22,150 --> 00:13:27,830
651
+ ุงู„ููƒุฑุฉ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุญุงู„ุฉ ุชุจู‚ู‰ ุจุญุงูˆู„ ู„ุฒูŠูƒู„ู‡ู… minus
652
+
653
+ 164
654
+ 00:13:27,830 --> 00:13:33,030
655
+ ูˆุงุญุฏ minus ูˆุงุญุฏ ูˆุนู„ู‰ ุงู„ sigma over square root of
656
+
657
+ 165
658
+ 00:13:33,030 --> 00:13:37,530
659
+ twelve ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ูุงุชุช ููŠ ุงู„ุณุคุงู„ ุงู„ุณุงุจุน
660
+
661
+ 166
662
+ 00:13:37,530 --> 00:13:42,250
663
+ ุงู„ุฌูˆุงุจ ุชุจุนู‡ ุณุงู„ุจ ู‡ุงู†ุจูˆู†ุช ุงู„ู„ู‡ ูŠุณุงู…ุญู†ูŠุŒ ู…ูŠู† ุญูƒุช
664
+
665
+ 167
666
+ 00:13:42,250 --> 00:13:46,710
667
+ ุณุงู„ุจุŸ ุณุงู„ุจุŸ ูƒุงู†ุช ุนุฒุงุฌุฉุŸ ู…ุด ุฏูˆุฑุงุจูŠู„ุฉ ุณุงู„ุจุŒ ุงู†ุช
668
+
669
+ 168
670
+ 00:13:46,710 --> 00:13:55,610
671
+ ุนุฒุงุฌุฉุŸ ุงู‡ ุงู‡ ุงู‡ ุงู‡ุฃู†ุง ู…ุงุจุญูƒูŠ ุฌูˆุงุจุด ุจุณุงูˆุฉ ูƒู„ู‡ุงุŒ ูƒุฏู‡
672
+
673
+ 169
674
+ 00:13:55,610 --> 00:14:02,150
675
+ ุฃู‚ู„ ู…ู† ุงู„ุณู†ุฉ ุชู‚ุฑูŠุจุง zero ุงู†ุง ุณุคุงู„ ุงูŠุดุŸ zero ุงุฑุจุน
676
+
677
+ 170
678
+ 00:14:02,150 --> 00:14:07,950
679
+ ูˆุงุญุฏ ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ุดูˆู ุฏุงูŠู…ุง ุงู„ probability positive
680
+
681
+ 171
682
+ 00:14:07,950 --> 00:14:09,930
683
+ between zero and one ูŠุนู†ูŠ ู„ูˆ ุงู†ุง ุจุญู„ ู…ุซู„ุง ุทู„ุนุช
684
+
685
+ 172
686
+ 00:14:09,930 --> 00:14:13,250
687
+ negative ู…ุซู„ุง ุงู„ู„ูŠ ุฌุงุจุช ุบู„ุท ู„ูˆ ุทู„ุนุช ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
688
+
689
+ 173
690
+ 00:14:13,250 --> 00:14:16,330
691
+ ุงู„ู„ูŠ ุฌุงุจุช ุจุฑุถู‡ ุบู„ุท ู„ุงุฒู… ุชูƒูˆู† between zero and one
692
+
693
+ 174
694
+ 00:14:16,330 --> 00:14:17,810
695
+ ุณุคุงู„ ุชู…ุงู†ูŠุฉ
696
+
697
+ 175
698
+ 00:14:25,260 --> 00:14:28,980
699
+ ุงู„ุชู…ุงู†ูŠุฉ ุจูŠุญูƒูŠ the owner of a fish market has an
700
+
701
+ 176
702
+ 00:14:28,980 --> 00:14:36,420
703
+ assistant ุจูŠุญูƒูŠ owner ู„ fish market ุตุงุญุจ ู…ุญู„ ู„ุจูŠุน
704
+
705
+ 177
706
+ 00:14:36,420 --> 00:14:41,980
707
+ ุงู„ุฃุณู…ุงูƒ has assistant who has determined that the
708
+
709
+ 178
710
+ 00:14:41,980 --> 00:14:45,620
711
+ weights of catfish are normally distributed with a
712
+
713
+ 179
714
+ 00:14:45,620 --> 00:14:47,240
715
+ mean of 3.2
716
+
717
+ 180
718
+ 00:14:50,800 --> 00:14:57,880
719
+ mean of 3.2 pound and standard deviation of 0.8 if
720
+
721
+ 181
722
+ 00:14:57,880 --> 00:15:02,340
723
+ a sample of 64 fish yields ุงุชุฏุงู†ูŠ ุงู„ sample size
724
+
725
+ 182
726
+ 00:15:02,340 --> 00:15:08,060
727
+ 64 fish yields a mean of 3.4 pound ู‡ุฏูˆู„ ูŠุนุทูˆ ู…ู†
728
+
729
+ 183
730
+ 00:15:08,060 --> 00:15:14,720
731
+ ู…ูŠู† ู‡ุฏูˆู„ ูŠุนู†ูŠ ุงู„ sample ู…ู† ู…ูŠู† ุชุจุนู‡ู… 3.4 ุฅุฐุง
732
+
733
+ 184
734
+ 00:15:14,720 --> 00:15:18,980
735
+ ุฃุฎุฏ sample of 64 fish yields a mean of 3.4 pound
736
+
737
+ 185
738
+ 00:15:20,720 --> 00:15:23,140
739
+ ุจุณุฃู„ what's the probability of obtaining a sample
740
+
741
+ 186
742
+ 00:15:23,140 --> 00:15:27,460
743
+ mean this large or largerุŸ ุฅูŠุด ุงุญุชู…ุงู„ ุฃุญุตู„ ุนู„ู‰
744
+
745
+ 187
746
+ 00:15:27,460 --> 00:15:31,920
747
+ sample mean ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุฃูˆ ุฃูƒุจุฑ ู…ู†ู‡ุงุŸ ูŠุนู†ูŠ X bar
748
+
749
+ 188
750
+ 00:15:31,920 --> 00:15:38,080
751
+ ู…ุงู„ู‡ ุฃูƒุจุฑ ู…ู†ู‡ุงุŸ ู‡ูŠ ุฃูˆ ุฃูƒุจุฑุŸ ุจุณุŒ ูˆ ุงู„ุญู„ ุจูŠุตูŠุฑ ุดุบู„
752
+
753
+ 189
754
+ 00:15:38,080 --> 00:15:47,300
755
+ ุนุงุฏู‰ุŒ ู†ุธุจุทุŸ ูู‡ุฐุง ู‡ุชุณุงูˆูŠ P of Z ู‡ุงูŠ ุงู„ mean minus
756
+
757
+ 190
758
+ 00:15:48,460 --> 00:15:55,800
759
+ 3.2 over sigma over square root of 64 ู‡ุฐู‡
760
+
761
+ 191
762
+ 00:15:55,800 --> 00:15:59,880
763
+ ุงู„calculations ุนุงุฏุฉ ุณู‡ู„ุฉ ุทุจุนุง ููŠ ุงู„ .. ู‡ู†ุง ููŠ
764
+
765
+ 192
766
+ 00:15:59,880 --> 00:16:04,560
767
+ point 2 ู…ุด ู‡ูŠูƒ ูˆ ุงู„ู„ูŠ ุชุญุช ุดูˆ ุณุงูˆูŠ point 8 ุนู„ู‰ 8
768
+
769
+ 193
770
+ 00:16:04,560 --> 00:16:15,900
771
+ ูŠุนู†ูŠ ู‡ุฐุง point 8 ุนู„ู‰ 8 ูŠุนู†ูŠ ูŠุนู†ูŠ ุจูŠุตูŠุญุด .. ุงูŠุด
772
+
773
+ 194
774
+ 00:16:15,900 --> 00:16:22,240
775
+ ุจุงู„ุฌูˆุงุจ ุงุทู„ุน ู‡ู†ุงุŸpoint 8 ุน 8 ูƒุฏู‡ุŸ
776
+
777
+ 195
778
+ 00:16:22,240 --> 00:16:29,400
779
+ ู„ุฃ ุจุถุญูƒ ุจุณ point 8 ุน 8 ู„ุฃูˆู„ point 8 ุน 8 ูŠุนู†ูŠ point
780
+
781
+ 196
782
+ 00:16:29,400 --> 00:16:33,320
783
+ 1 ู…ู† 10 ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ุดูˆู ู‡ุงูŠ ุงู„ุฃุฎุทุงุฑ ู…ู…ูƒู† ุชุฌุฑุฃ ูƒุฏู‡
784
+
785
+ 197
786
+ 00:16:33,320 --> 00:16:37,900
787
+ ููŠ ู†ูุณูƒ point 1 ุทุจุนุง point 8 ุน 8 ุทุจุนุง ุฃูˆู„ ู…ุง
788
+
789
+ 198
790
+ 00:16:37,900 --> 00:16:42,080
791
+ ุจุดูˆูู‡ุง ููŠู‡ุง point 1 ูˆ ู‡ุฐุง ุบู„ุท ู„ูŠุด ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ูˆ
792
+
793
+ 199
794
+ 00:16:42,080 --> 00:16:45,080
795
+ ูˆุงุญุฏ ู…ู† ุนุดุฑุฉ ู‡ุฐุง ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ ุน ุชู…ุงู†ูŠุฉ ุฅูŠุด
796
+
797
+ 200
798
+ 00:16:45,080 --> 00:16:54,760
799
+ ุงู„ุฌูˆุงุจ point 1 point 11 ู…ู† 10 ูŠุนู†ูŠ ูŠุนู†ูŠ ูˆุงุญุฏ
800
+
801
+ 201
802
+ 00:16:54,760 --> 00:16:57,840
803
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
804
+
805
+ 202
806
+ 00:16:57,840 --> 00:17:01,480
807
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
808
+
809
+ 203
810
+ 00:17:01,480 --> 00:17:01,480
811
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
812
+
813
+ 204
814
+ 00:17:01,480 --> 00:17:01,620
815
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
816
+
817
+ 205
818
+ 00:17:01,620 --> 00:17:01,660
819
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
820
+
821
+ 206
822
+ 00:17:01,660 --> 00:17:02,560
823
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
824
+
825
+ 207
826
+ 00:17:02,560 --> 00:17:02,960
827
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
828
+
829
+ 208
830
+ 00:17:02,960 --> 00:17:03,840
831
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
832
+
833
+ 209
834
+ 00:17:03,840 --> 00:17:04,960
835
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
836
+
837
+ 210
838
+ 00:17:04,960 --> 00:17:15,400
839
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ ู…ู† ุนุดุฑ ูŠุนู†ูŠ ูˆุงุญุฏ
840
+
841
+ 211
842
+ 00:17:15,400 --> 00:17:21,650
843
+ ู…ู† ุนุดุฑ ูŠุนู†ูŠุฒูŠ ุงู‚ู„ ู…ู† ุงุชู†ูŠู† ุนู†ุฏ ุงู„ุงุชู†ูŠู† ุงูŠุด ุฌูˆุงุจ
844
+
845
+ 212
846
+ 00:17:21,650 --> 00:17:29,870
847
+ ุจุทู„ุน ู‡ุฐุง ุณุคุงู„ ุฑู‚ู… ุชู…ุงู†ูŠุฉ ุทู„ุน
848
+
849
+ 213
850
+ 00:17:29,870 --> 00:17:38,210
851
+ ุงู„ table ุนู†ุฏ ุงู„ุงุชู†ูŠู† ุชุณุนุฉ
852
+
853
+ 214
854
+ 00:17:38,210 --> 00:17:42,430
855
+ ุณุจุนุฉ ุณุจุนุฉ ุงุชู†ูŠู† ู…ุธุจูˆุท ุงุฐุง point nine seven seven
856
+
857
+ 215
858
+ 00:17:42,430 --> 00:17:47,080
859
+ twoone minus ูŠุนู†ูŠ zero, two, two, eight ู…ุด ู‡ูŠุŸ
860
+
861
+ 216
862
+ 00:17:47,080 --> 00:17:51,200
863
+ ูุจุชุงู„ูŠ ุฅูŠุด ุงู„ุฌูˆุงุจ ุชุจุนูŠู‡ุŸ ุฅุฐุง ุจูŠู‡ is the correct
864
+
865
+ 217
866
+ 00:17:51,200 --> 00:17:55,980
867
+ answer ุดูˆู
868
+
869
+ 218
870
+ 00:17:55,980 --> 00:18:01,260
871
+ ุชุฃูƒุฏ ู„ูˆ ุญุงุทุทุชู„ูƒ ุฅุฌุงุจุงุช ุชู„ุงุชุฉ ุจุชูƒูˆู† ูˆุงุญุฏุฉ ู…ู†
872
+
873
+ 219
874
+ 00:18:01,260 --> 00:18:05,360
875
+ ุงู„ุฃุฎุทุงุก ู…ู…ูƒู† ุฃู‚ุน ููŠู‡ุง ู‡ู†ุง ูŠุนู†ูŠ ุฃูŠ ุญุงุฌุฉ ุบู„ุทุช ุงู„ุญุณุงุจ
876
+
877
+ 220
878
+ 00:18:05,360 --> 00:18:10,440
879
+ ู‡ูŠุทู„ุนู„ูƒ ูˆุงุญุฏุฉ ู…ู† ู‡ุฏูˆู„ ูุงู†ุช ุฑูƒุฒูŠ ุดูˆูŠุฉ ุณุคุงู„ ุชุณุนุฉ
880
+
881
+ 221
882
+ 00:18:13,730 --> 00:18:17,990
883
+ true or false if the amount of gasoline purchased
884
+
885
+ 222
886
+ 00:18:17,990 --> 00:18:22,110
887
+ per car at large surface stations has a population
888
+
889
+ 223
890
+ 00:18:22,110 --> 00:18:28,090
891
+ of 15 gallons and population deviation of 4
892
+
893
+ 224
894
+ 00:18:28,090 --> 00:18:36,410
895
+ gallons then 99.73 of all cars
896
+
897
+ 225
898
+ 00:18:44,460 --> 00:18:49,240
899
+ ูˆุงู„ุจุฑุด is between 3 and 27 gallons ุงู‡ ุจุฏู†ุง ู†ุญู„ู‡ุง
900
+
901
+ 226
902
+ 00:18:49,240 --> 00:18:55,660
903
+ ุงู†ุง ุจุฏูŠ ุญุฏ ุญู„ ุงู„ุงุณุฆู„ุฉ ุจุชุฐูƒุฑูˆุง ุงู„ empirical rule ุงู„
904
+
905
+ 227
906
+ 00:18:55,660 --> 00:19:01,660
907
+ empirical rule ูƒุงู† ูŠุญูƒูŠ ุงูŠุด ูƒุงู† 689599.7 of the
908
+
909
+ 228
910
+ 00:19:01,660 --> 00:19:07,780
911
+ data will fall within ุงู„ุงุฎูŠุฑ within three standard
912
+
913
+ 229
914
+ 00:19:07,780 --> 00:19:12,020
915
+ deviation of the population mean ุจุณ ู‡ู†ุง ุฃู†ุง ุนู†ุฏู‰
916
+
917
+ 230
918
+ 00:19:12,020 --> 00:19:19,170
919
+ ุจุชูƒู„ู…ุด ุนู„ู‰ ุงู„ ..ุน ุงู„ X ุจุงุฑ ูƒู†ุง ู†ุญูƒูŠ ุงุญู†ุง ุงูŠุด ู„ูˆ ุงู„
920
+
921
+ 231
922
+ 00:19:19,170 --> 00:19:24,210
923
+ ู…ูŠูˆ ู…ุงู†ุณ ุซุฑูŠ ุณูŠุฌู…ุง ูˆ ู…ูŠูˆ ุจู„ุณ ุซุฑูŠ ุณูŠุฌู…ุงุŒ ู…ุธุจูˆุทุŸ ุจุณ
924
+
925
+ 232
926
+ 00:19:24,210 --> 00:19:30,010
927
+ ุฏู‡ ู…ุด ุณูŠุฌู…ุง ุงู„ุนุงุฏูŠุฉุŒ ุจุญูƒูŠ ุน ุงู„ X ุจุงุฑ ุงู„ู„ูŠ
928
+
929
+ 233
930
+ 00:19:30,010 --> 00:19:32,370
931
+ ุงู†ุช ู„ุงุญุธุด ุจูŠุญูƒูŠ ู‡ูˆ ุงู„ probability of obtaining
932
+
933
+ 234
934
+ 00:19:32,370 --> 00:19:36,790
935
+ sample mean ุงูˆ ุตุบูŠุฑ then 997 of all cars will
936
+
937
+ 235
938
+ 00:19:36,790 --> 00:19:44,280
939
+ purchase between 3 27ูˆู‡ู†ุง ุงุนุทุงู†ูŠ ุงูŠุดุŸ ู‡ุงูŠ ุงู„ุฎู…ุณุชุงุด
940
+
941
+ 236
942
+ 00:19:44,280 --> 00:19:49,500
943
+ ู‡ุฐูˆู„ ู…ูŠู† ุชุจุนู‡ู… ุงุฐุง ุนู†ุฏูŠ ุงู…ุง ุงุญู†ุง ุจุฏูŠ ุงุญู„ู‡ุง ู…ูŠูˆ
944
+
945
+ 237
946
+ 00:19:49,500 --> 00:19:53,200
947
+ ู…ุงูŠู† ุซุฑูŠ ุณูŠุฌู…ุง ู…ูŠูˆ ุจู„ุงุณุชุฑูŠ ุณูŠุฌู…ุง ุฎู„ูŠู†ูŠ ุงุจุฏุฃ
948
+
949
+ 238
950
+ 00:19:53,200 --> 00:20:01,440
951
+ ุจุงู„ุชุงู†ูŠ ูŠุนู†ูŠ ุงู„ู…ูŠู† ุงูŠุด ุจูŠุณุงูˆูŠุŸ ุงู„ู…ูŠู† ุฎู„ุงุดุŸ ูƒุฏู‡ุŸ
952
+
953
+ 239
954
+ 00:20:01,440 --> 00:20:05,800
955
+ ุฎู„ูŠู†ูŠ ุงุญู„ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูŠู† ู‚ุฏุงุดุŸ ู†ู‚ุต ุชู„ุงุชุฉ ููŠ ุฃุฑุจุนุฉ
956
+
957
+ 240
958
+ 00:20:05,800 --> 00:20:10,510
959
+ ู…ุด ู‡ูŠูƒุŸ ูˆุฎู…ุณุชุงุด ุฒูŠ ุชู„ุงุชุฉ ููŠ ุฃุฑุจุนุฉู…ุด ุจุทู„ุน ุงู„ุฌูˆุงุจ
960
+
961
+ 241
962
+ 00:20:10,510 --> 00:20:15,870
963
+ ู‡ู†ุง ุชู„ุงุชุฉ ุงูˆ ู‡ู†ุง ุงุฐุง
964
+
965
+ 242
966
+ 00:20:15,870 --> 00:20:19,250
967
+ ุจุทู„ุน ู…ู† ู‡ู†ุง ุงู„ู‰ ุงูŠู†ุŸ ู…ู† ุงู„ุชู„ุงุชุฉ ู„ุบุงูŠุฉ ุงู„ุณุงุจุนุฉ
968
+
969
+ 243
970
+ 00:20:19,250 --> 00:20:25,570
971
+ ูˆุนุดุฑูŠู† ุณุจุนูŠู† ู…ู…ูƒู† ู‡ุฐู‡ ู†ุญูŠู„ู‡ุง ุนู„ู‰ ุงู„ probability
972
+
973
+ 244
974
+ 00:20:25,570 --> 00:20:27,150
975
+ ุงู„ุนุงุฏูŠุฉ ุงู‡ ู…ู…ูƒู† ุชุญูŠู„ู‡ุง ุนู„ู‰ ุงู„ probability ุงู„ุนุงุฏูŠุฉ
976
+
977
+ 245
978
+ 00:20:27,150 --> 00:20:34,530
979
+ ุงู„ุฌูˆุงุจ ุทู„ุน ุนู„ู‰ ู‡ุฐู‡ ู‡ู†ุง ูุงู„ุฌูˆุงุจ ูƒุฏู‡ุŸ ุชู„ุงุชุฉ ู„ุณุจุนุฉ
980
+
981
+ 246
982
+ 00:20:34,530 --> 00:20:40,130
983
+ ูˆุนุดุฑูŠู† ู‡ุฐุง ุงู„ุณุคุงู„ ูƒุฏู‡ุŸ ุณุคุงู„ ุชุณุนุฉ ุชุณุนุฉู„ูˆ ุทู„ุนุช ุนู„ู‰
984
+
985
+ 247
986
+ 00:20:40,130 --> 00:20:43,670
987
+ ุงู„ูƒุชุงุจ ุจูŠุญูƒูŠู„ูŠ ุฌูˆุงุจ false ุทูŠุจ ู‡ูˆ ุจูŠุทู„ุน ู†ูุณ ุงู„ุฌูˆุงุจ
988
+
989
+ 248
990
+ 00:20:43,670 --> 00:20:48,550
991
+ ู…ุน ูƒุฏู‡ ุงู„ูƒู„ุงู… ู…ุด ุตุญ ุงู„ู„ูŠ ุฃู†ุง ุนู…ู„ุชู‡ ู„ูŠุดุŸ ู‡ูˆ ุจูŠุชูƒู„ู…ุด
992
+
993
+ 249
994
+ 00:20:48,550 --> 00:20:51,490
995
+ ุนู„ู‰ ุงู„ .. ุนู„ู‰ ุงู„ except ูƒู„ุงู… ุนู„ู‰ ุงู„ except
996
+
997
+ 250
998
+ 00:20:51,490 --> 00:20:56,750
999
+ ูุจุงู„ุชุงู„ูŠ ุฅูŠุด ู‡ุชุตูŠุฑุŸ ุบู„ุท ู‡ุฐุง ุบู„ุท ู‡ุฐุง ุงู„ุทุฑูŠู‚ุฉ ู…ุด ุตุญ
1000
+
1001
+ 251
1002
+ 00:20:56,750 --> 00:21:01,710
1003
+ ุงู‡ ูŠุนู†ูŠ ุงุญู†ุง ุงู„ุตุญูŠุญ ุงูŠู‡ ู„ุงู† ู†ุทู„ุน ุงู„ .. ุงู„ sigma x
1004
+
1005
+ 252
1006
+ 00:21:01,710 --> 00:21:06,130
1007
+ ู…ุงุฑูŠุด ุจุงู„ุณุงูˆูŠุฉ ุงู‡ ุทุจุนุง ุตุญ ุงู†ุง ุทุจุนุง ุทุจุนุง ุงู†ุง ุทุจุนุง
1008
+
1009
+ 253
1010
+ 00:21:06,130 --> 00:21:12,000
1011
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุงุงู„ุงู† ู…ุด ู…ุชุณุงูˆู‰ ููŠ ุงู„ู…ุซู„ุฉ ุงู„ุงู†
1012
+
1013
+ 254
1014
+ 00:21:12,000 --> 00:21:18,700
1015
+ ุฎู„ุงุต ู‡ู„ ููŠ ุงู† ู…ูˆุฌูˆุฏุŸ ู„ุง ู…ุงุนุฑู ุงูƒูŠุฏ ู…ุด ู‡ู‚ุฏุฑ ุงุญู„ ู‡ุฐู‡
1016
+
1017
+ 255
1018
+ 00:21:18,700 --> 00:21:22,700
1019
+ ุทูŠุจ ุฅุฐุง ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒุงู„ูŠู‡ ุตุญ ูˆู„ุง ุบู„ุทุŸ
1020
+
1021
+ 256
1022
+ 00:21:22,700 --> 00:21:26,600
1023
+ ุบู„ุท ู‡ู„ ุจุชู‚ุฏุฑ ุงู†ุช ุงู„ุขู† ุชุญู„ูŠ ุงู„ู…ุซู„ุฉ ุจุงู„ู‚ูˆุงู†ูŠู†
1024
+
1025
+ 257
1026
+ 00:21:26,600 --> 00:21:31,900
1027
+ ุงู„ุนุงุฏูŠุฉุŸ ู„ุง ู…ุณุชุญูŠู„ ู…ุด ู‡ู‚ุฏุฑ ุงุญู„ ู‡ุฐู‡ ุงู„ูƒู„ุงู…ุŸ ุฃูŠ
1028
+
1029
+ 258
1030
+ 00:21:31,900 --> 00:21:37,640
1031
+ probabilityุŸ
1032
+
1033
+ 259
1034
+ 00:21:39,170 --> 00:21:46,670
1035
+ ุงู„ู„ูŠ ุฃู†ุง ุจุชุทู„ุน ุงู„ probability ู„ู…ูŠู†ุŸ ู„ู„ X ูŠุนู†ูŠุŸ
1036
+
1037
+ 260
1038
+ 00:21:46,670 --> 00:21:55,890
1039
+ ุตุญ ุทู„ุนูŠู† ุฃู‡ ุตุญ ููƒุฑุง ู…ุด ููƒุฑุง ุบู„ุท ุฅุฐุง ุงู„ุฌูˆุงุจ ุบู„ุท ู„ุฅู†
1040
+
1041
+ 261
1042
+ 00:21:55,890 --> 00:21:58,390
1043
+ ุงู„ุทู„ุงู‚ ู‡ูŠ ูƒุชุงุจุชุงู† ูŠุนู…ู„ ูŠุนู†ูŠ ุจูŠุตูŠุฑ ุงู„ probability
1044
+
1045
+ 262
1046
+ 00:21:58,390 --> 00:22:06,330
1047
+ ุชู„ุงุชุฉ ุฃู‚ู„ ู…ู† X ุฃู‚ู„ ู…ู† 27 ุจูŠุตูŠุฑ ุชู„ุงุชุฉ ู†ู‚ุต ู„ู…ูŠู†ุŸ
1048
+
1049
+ 263
1050
+ 00:22:08,550 --> 00:22:11,910
1051
+ ุนู„ู‰ ุงู„ู€ Sigma ู‡ุฐุง ุงูŠุดุŸ ุฎู„ู‘ูŠ ุจุงู„ูƒ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ..
1052
+
1053
+ 264
1054
+ 00:22:11,910 --> 00:22:18,950
1055
+ ุงู„ุฌูˆุงุจ ุจุชุทู„ุน point 993 Sigma ุดูˆ ุชุณุงูˆูŠุŸ ุฃุฑุจุนุฉ ุฃู‚ู„
1056
+
1057
+ 265
1058
+ 00:22:18,950 --> 00:22:24,830
1059
+ ู…ู† Z ุฃู‚ู„ ู…ู† 27 ู†ู‚ุต ู…ู† 16 ู‡ุฐูˆู„
1060
+
1061
+ 266
1062
+ 00:22:24,830 --> 00:22:33,930
1063
+ ุณุงู„ุจ ุชู„ุชุฉ ู…ุด ู‡ูŠูƒุŸ ู…ุงุดูŠ ุนู„ู‰ ุฃุฑุจุนุฉ ูˆ ุงู„ู„ูŠ ู‡ู†ุงุŸ
1064
+
1065
+ 267
1066
+ 00:22:33,930 --> 00:22:40,210
1067
+ ุจูŠู† ุงู„ุณุงู„ุจ ุชู„ุชุฉ ูˆ ุงู„ู…ูˆุฌูˆุฏ ุชู„ุชุฉ ุฌุฏุงุดุŸู„ูˆ ุงู†ุช ุนู…ู„ุชูŠู‡ุง
1068
+
1069
+ 268
1070
+ 00:22:40,210 --> 00:22:43,890
1071
+ ู‡ูŠุทู„ุน point nine nine seven three ุจุณ ู…ุด ู‡ุฐุง
1072
+
1073
+ 269
1074
+ 00:22:43,890 --> 00:22:48,950
1075
+ ุงู„ู…ุทู„ูˆุจ ุงู„ู…ุทู„ูˆุจ ูŠุชูƒู„ู… ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ population
1076
+
1077
+ 270
1078
+ 00:22:48,950 --> 00:22:52,910
1079
+ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ X bar ุนู„ู‰ ุงู„ ู…ูŠูˆู…ุฉ ุนู„ู‰ ุงู„ X bar ุชุชุณุงู…ู„
1080
+
1081
+ 271
1082
+ 00:22:52,910 --> 00:22:58,790
1083
+ ู…ูŠู†ุŸ ุจุงู„ุชุงู„ูŠ ุฌูˆุงุจ ุฎุทุฃ ุฎุทุฃ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุญู„ ู‡ู†ุง ู„ู„ X
1084
+
1085
+ 272
1086
+ 00:22:58,790 --> 00:23:04,870
1087
+ value ูููŠ ูุฑู‚ ุจูŠู† ุญูƒูŠ ุงู„ X ูˆ X bar ุฅุฐุง ุงู„ answer
1088
+
1089
+ 273
1090
+ 00:23:04,870 --> 00:23:10,580
1091
+ is B ุทุจ ุนุดุฑุฉู‚ุฑุงุกุฉ ุนู„ู‰ ุงู„ุชุงู†ูŠุฉ ุฃุฎุฑ ูˆุงุญุฏุฉ
1092
+
1093
+ 274
1094
+ 00:23:31,610 --> 00:23:39,610
1095
+ ุทุฑู‚ ู†ูุณ ุงู„ู…ุซู„ุฉ ู†ูุณ ุงู„ู…ุซู„ุฉ ูˆุจูŠุญูƒูŠ
1096
+
1097
+ 275
1098
+ 00:23:39,610 --> 00:23:47,970
1099
+ there is approximately 68 random samples of 16
1100
+
1101
+ 276
1102
+ 00:23:47,970 --> 00:23:52,540
1103
+ cars ู„ุญุธุฉ ุงู„ู…ุซู„ุฉ ู…ุด ุญูƒุงูŠุฉุนู†ุฏู…ุง ุดุฑูŠุช ูƒุชุงุจ ู…ูŠู† ูƒุชุงุจ
1104
+
1105
+ 277
1106
+ 00:23:52,540 --> 00:23:57,580
1107
+ ุจุณุงู… ุจุงู„ู…ูŠู† ูˆ ุจุณุงู… ุจุงู„ู…ูŠู†ุŸ ุชุญุช ุงู„ X bar ุชุญุช ุงู„ X
1108
+
1109
+ 278
1110
+ 00:23:57,580 --> 00:23:59,440
1111
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1112
+
1113
+ 279
1114
+ 00:23:59,440 --> 00:23:59,740
1115
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1116
+
1117
+ 280
1118
+ 00:23:59,740 --> 00:24:01,040
1119
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1120
+
1121
+ 281
1122
+ 00:24:01,040 --> 00:24:03,280
1123
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1124
+
1125
+ 282
1126
+ 00:24:03,280 --> 00:24:06,400
1127
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1128
+
1129
+ 283
1130
+ 00:24:06,400 --> 00:24:06,420
1131
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1132
+
1133
+ 284
1134
+ 00:24:06,420 --> 00:24:08,300
1135
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X
1136
+
1137
+ 285
1138
+ 00:24:08,300 --> 00:24:11,280
1139
+ barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃู‡ ุชุญุช ุงู„ X barุŸ ุฃ
1140
+
1141
+ 286
1142
+ 00:24:19,720 --> 00:24:23,460
1143
+ ุจุนุฏูŠู† ุจูŠุญูƒูŠ ุน ุงู„ six eight ุงู„ู„ูŠ ู‡ูŠ ุงู„ standard
1144
+
1145
+ 287
1146
+ 00:24:23,460 --> 00:24:30,360
1147
+ deviation ูˆุงุญุฏ ู…ุด ู‡ูŠูƒ ุงุญู†ุง ู‚ู„ู†ุง ุงู„ six eight nine
1148
+
1149
+ 288
1150
+ 00:24:30,360 --> 00:24:35,320
1151
+ five nine one seven ู‡ุฐุง one sigma ู‡ู†ุง two sigma ูˆ
1152
+
1153
+ 289
1154
+ 00:24:35,320 --> 00:24:39,580
1155
+ ู‡ุฐุง three sigma between
1156
+
1157
+ 290
1158
+ 00:24:39,580 --> 00:24:43,620
1159
+ ุงุฑุจุนุฉ ุนุดุฑ ูˆ ุณุช ุนุดุฑ ุงู„ sample mean ุงุฑุจุนุฉ ุนุดุฑ ู„ุบุงูŠุฉ
1160
+
1161
+ 291
1162
+ 00:24:43,620 --> 00:24:50,390
1163
+ ุณุช ุนุดุฑ ุงูŠุด ุฑุฃูŠูƒูˆุง ููŠ ุงู„ู…ุซู„ ู‡ุฐุงุŸู…ุงุฐุง ุฑุฃูŠูƒ ูŠุง ุณู„ุงู…ุŸ
1164
+
1165
+ 292
1166
+ 00:24:50,390 --> 00:24:55,230
1167
+ random sum ูŠุจู‚ู‰ ูƒู… ูƒุงุฑ ุนู†ุฏู‡ุŸ 16 ุฅุฐุง ุงู„ุฃู† ุจูŠุณุงูˆูŠ 16
1168
+
1169
+ 293
1170
+ 00:24:55,230 --> 00:25:00,030
1171
+ ู…ุด ู‡ูŠูƒ ุฅุฐุง ุฅุนุทุงู†ูŠ ุงู„ุฃู† ุงู„ุชุงุณุน ุจู‚ุฏุฑ ุงู†ุง ุฃุญุณุจ ู…ูŠู†ุŸ
1172
+
1173
+ 294
1174
+ 00:25:00,030 --> 00:25:10,070
1175
+ ุณูŠุฌู…ุง X bar ุฅูŠุด ุจุชุณุงูˆูŠุŸ ุงู„ุณูŠุฌู…ุง ู‚ุฏุงุดุŸ ุนู„ู‰ 16 ุทู„ุน
1176
+
1177
+ 295
1178
+ 00:25:10,070 --> 00:25:15,260
1179
+ ุณูŠุฌู…ุง X bar ุจู‚ู‰ 4 ุนู„ู‰ 16 square root ุจุทู„ุน ุจ1ุฃูˆ ุฒูŠ
1180
+
1181
+ 296
1182
+ 00:25:15,260 --> 00:25:18,960
1183
+ ู…ุง ุญูƒูŠุช ู„ูƒ ู…ุธุจูˆุท ุฅุฐุง ุงู„ุญุงู„ ุชุจู‚ู‰ ู‡ุงูŠู… ุจุณ ุจูŠูƒูˆู† ูˆู†
1184
+
1185
+ 297
1186
+ 00:25:18,960 --> 00:25:22,440
1187
+ ุงุณุชู†ุธู ูŠุงุดูŠ ุฅุฐุง ุงู„ู€ mu minus one sigma x bar
1188
+
1189
+ 298
1190
+ 00:25:22,440 --> 00:25:27,300
1191
+ ุจุชูƒู„ู…ู‡ุง ุงู„ x bar ู…ุด ู‡ูŠ ู…ุฑุฉ ุชุงู†ูŠุฉ there is
1192
+
1193
+ 299
1194
+ 00:25:27,300 --> 00:25:31,180
1195
+ approximately 68 chance that random sample of 16
1196
+
1197
+ 300
1198
+ 00:25:31,180 --> 00:25:34,540
1199
+ cars will have mean sample mean ุฃู†ุชูŠุด ุญู„ู‡ุง
1200
+
1201
+ 301
1202
+ 00:25:34,540 --> 00:25:39,180
1203
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุจุฏูŠ ุฃุญู„ู‡ุง ุจุงู„ empirical ruleุฅุฐุง
1204
+
1205
+ 302
1206
+ 00:25:39,180 --> 00:25:43,300
1207
+ ู…ูŠูˆ minus X bar ูˆ ู…ูŠูˆ plus ู…ูŠู†ุŸ Sigma X barุŒ
1208
+
1209
+ 303
1210
+ 00:25:43,300 --> 00:25:51,080
1211
+ ู…ุธุจูˆุทุŸ ู„ู…ูŠูˆ ู‚ุฏุงุดุŸ ุฎู…ุณุฉ ุนุงุดุŸ ูˆุงุญุฏ Sigma X bar ุจูˆุงุญุฏ
1212
+
1213
+ 304
1214
+ 00:25:51,080 --> 00:25:58,400
1215
+ ูˆุงู„ุชุงู†ูŠุฉุŸ ุฎู…ุณุฉ ุนุงุดุŸ ุฅูŠุด ุงู„ุฌูˆุงุจ ุจุทู„ู‚ุŸ ุฅุฐุง ูƒู„ุงู…ู‡
1216
+
1217
+ 305
1218
+ 00:25:58,400 --> 00:26:03,300
1219
+ ู…ุงู„ู‡ุŸ ูƒู„ุงู… ุตุญ ู„ูˆ ู…ุงุดุชุบู„ุชูŠุด ุนู„ู‰ ุงู„ rule ุงู„ู„ูŠ ุฃู†ุง
1220
+
1221
+ 306
1222
+ 00:26:03,300 --> 00:26:08,750
1223
+ ุญูƒูŠุชู‡ ุจุชุญู„ูŠ ุนุงุฏูŠ ูƒูŠู ุฃุญู„ูŠ ุนุงุฏูŠุŸ ุฒูŠ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ุฅูŠุด
1224
+
1225
+ 307
1226
+ 00:26:08,750 --> 00:26:14,870
1227
+ ู‡ุตูŠุฑ ุงู„ู…ุซุงู„ุฉุŸ ู„ูˆ ุจุฏุฃ ุฃุญู„ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุชุดูˆู ุฃู†ุช
1228
+
1229
+ 308
1230
+ 00:26:14,870 --> 00:26:20,510
1231
+ ุบุงู„ุจุง ู…ุด ู‡ุชุชุฐูƒุฑ ุงู„ empirical roleุŒ ู…ุธุจูˆุทุŸ ู‡ุจุฏุฃ ุฃุญู„
1232
+
1233
+ 309
1234
+ 00:26:20,510 --> 00:26:24,490
1235
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุด ุงู„ probability
1236
+
1237
+ 310
1238
+ 00:26:24,490 --> 00:26:28,350
1239
+ between
1240
+
1241
+ 311
1242
+ 00:26:28,350 --> 00:26:34,470
1243
+ 14 ูˆ 16 ู„ู„ expertุŒ ู…ุธุจูˆุทุŸ ุจุฏุฃ ุฃุดูˆู ุงู„ุฌูˆุงุจ ู‡ูˆ
1244
+
1245
+ 312
1246
+ 00:26:34,470 --> 00:26:39,680
1247
+ ุฃุนุทุงู†ูŠ yeah0.6826 ู…ุด ู‡ูŠูƒ ุจูŠุชุฃูƒุฏ ู…ู† ุงู„ุฅุฌุงุจุฉ ุงู„ู„ูŠ
1248
+
1249
+ 313
1250
+ 00:26:39,680 --> 00:26:46,160
1251
+ ู‡ู†ุง ุฅูŠุด ุชุนู…ู„ู‡ุง ุชุญูˆู„ูŠู‡ุง ู„ุฒูŠ ุฅูŠุด ุจุชุตูŠุฑ ู‡ูŠ 14 ู†ู‚ุต 15
1252
+
1253
+ 314
1254
+ 00:26:46,160 --> 00:26:52,560
1255
+ Sigma X bar ุฃู†ุง already ุญุณุจุชู‡ุง ูˆุงุญุฏ ุฃู‚ู„ ู…ู† Z ุฃู‚ู„
1256
+
1257
+ 315
1258
+ 00:26:52,560 --> 00:26:57,000
1259
+ ู…ู† 16 minus 15 ุนู„ู‰ 1 ู…ุด ู‡ูŠูƒ ู…ุด ู‡ูŠูƒ ู‡ุชุณุงูˆูŠ negative
1260
+
1261
+ 316
1262
+ 00:26:57,000 --> 00:27:02,090
1263
+ oneู„ุฃู† ูˆุตู„ุช ู„ู„ Z between minus one and plus one ู„ูˆ
1264
+
1265
+ 317
1266
+ 00:27:02,090 --> 00:27:05,990
1267
+ ุฑุฌุนุช ุฅู„ู‰ ุงู„ empirical rule ู„ูˆ .. ู…ู† ุบูŠุฑ .. ู…ู† ุบูŠุฑ
1268
+
1269
+ 318
1270
+ 00:27:05,990 --> 00:27:08,050
1271
+ ุงู„ table .. ุฃู†ุง ุจุชุญูƒูŠ ู…ู† ุบูŠุฑ ุงู„ table ู„ูˆ ุฑุฌุนุช ุฅู„ู‰
1272
+
1273
+ 319
1274
+ 00:27:08,050 --> 00:27:11,970
1275
+ ุงู„ empirical rule ูƒุงู† ูŠุญูƒูŠ 68% of the data will
1276
+
1277
+ 320
1278
+ 00:27:11,970 --> 00:27:16,590
1279
+ fall below one standard deviation of the
1280
+
1281
+ 321
1282
+ 00:27:16,590 --> 00:27:21,550
1283
+ population mean ู…ู‡ูŠู‡ุง .. ู…ู‡ูŠู‡ุง ุงู„ Z ุจุงู„ุณู„ุจ one and
1284
+
1285
+ 322
1286
+ 00:27:21,550 --> 00:27:27,250
1287
+ plus one ู‡ุฐู‡ ุงู„ area 68.23% ู…ู† ุบูŠุฑ ุงู„ tableู„ูˆ ุจุฏู‰
1288
+
1289
+ 323
1290
+ 00:27:27,250 --> 00:27:31,550
1291
+ ุงุณุชุฎุฏู… ุงู„ table ู‡ุฐูŠ ู…ุด ู‡ุชุณุงูˆูŠ z less than one
1292
+
1293
+ 324
1294
+ 00:27:31,550 --> 00:27:36,710
1295
+ ู…ุธุจูˆุท minus z less than negative one ู„ูˆ ุชุทู„ุน ุนู„ู‰
1296
+
1297
+ 325
1298
+ 00:27:36,710 --> 00:27:41,970
1299
+ ุงู„ table ุนู†ุฏ ุงู„ูˆุงุญุฏ ุนู†ุฏ ุงู„ูˆุงุญุฏ ุชู…ุงู†ูŠุฉ ุฃุฑุจุนุฉ ูˆุงุญุฏุฉ
1300
+
1301
+ 326
1302
+ 00:27:41,970 --> 00:27:49,390
1303
+ ุชู„ุงุชุฉ minus minus ุดูˆููˆุง ูุนู„ุง less than one ู„ูŠู„ูŠ
1304
+
1305
+ 327
1306
+ 00:27:49,390 --> 00:27:53,070
1307
+ ู‡ุฐู‡ ูƒู„ู‡ุง less than negative one ูˆุงุญุฏ minus ู‡ุฐู‡
1308
+
1309
+ 328
1310
+ 00:27:53,990 --> 00:27:56,850
1311
+ ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู‡ูˆ ู„ูˆ ุทู„ุนุช ุงู„ table ุชู„ุนุจ point one
1312
+
1313
+ 329
1314
+ 00:27:56,850 --> 00:28:00,410
1315
+ five eight seven ู…ุด ู‡ูŠูƒ ุงูˆ ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ negative
1316
+
1317
+ 330
1318
+ 00:28:00,410 --> 00:28:04,510
1319
+ table ู‡ุงุฎุฏู‡ ู†ูุณ ุงู„ุงุฌุงุจุฉ ู„ูˆ ุทู„ุนุช ุง๏ฟฝ๏ฟฝูุฑู‚ ู…ุง ุจูŠู† ู‡ุฏูˆู„
1320
+
1321
+ 331
1322
+ 00:28:04,510 --> 00:28:10,170
1323
+ ู…ุคูƒุฏ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ูˆ ูƒูŠูƒูˆ point six twenty six
1324
+
1325
+ 332
1326
+ 00:28:10,170 --> 00:28:18,110
1327
+ ุทุฑูŠู‚ุฉ ู…ูŠู† ู„ุณู‡ ุทุจ ุฃุนู…ู„ ูƒู„ ุงู„ุดุบู„ ู‡ุฐุง ูˆ ุนู„ุดุงู† ุงู„
1328
+
1329
+ 333
1330
+ 00:28:18,110 --> 00:28:22,890
1331
+ empirical law ุงู„ empirical law ุงู„ูˆุงุถุญ ุดูˆู ุงูŠู‡ุงู„ู€
1332
+
1333
+ 334
1334
+ 00:28:22,890 --> 00:28:28,390
1335
+ Probabilities ุฃู†ุง ุญุงูุธู‡ู… 68959917
1336
+
1337
+ 335
1338
+ 00:28:28,390 --> 00:28:33,090
1339
+ ุงุดุชุบู„ ุนู„ูŠู‡ุง ุจุณ ุจุชูƒูˆู† ู…ุฑูƒุฒ ู‡ู„ ู‡ูŠ ู„ู„ X ูˆู„ุง ู„ู„ X bar
1340
+
1341
+ 336
1342
+ 00:28:33,090 --> 00:28:37,590
1343
+ ุงู„ู‚ุงู†ูˆู† ู…ุงุชุบูŠุฑุด ุงู„ู‚ุงู†ูˆู† ุงุดูƒุงู„ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู€ Mu
1344
+
1345
+ 337
1346
+ 00:28:37,590 --> 00:28:43,210
1347
+ minus Sigma ู…ุธุจูˆุท ุงู„ู€ Mu plus Sigma ู…ุด ู‡ูŠูƒุŸ ุงุฐุง ู‡ูŠ
1348
+
1349
+ 338
1350
+ 00:28:43,210 --> 00:28:45,630
1351
+ ู„ู„ X ูŠุนู†ูŠ ุงู„ values ู†ูุณู‡ุง ุจุชูƒูˆู† ู…ูŠู† ู„ู„ X ูˆ Sigma
1352
+
1353
+ 339
1354
+ 00:28:45,630 --> 00:28:50,370
1355
+ ู„ู„ X ู…ุด ู‡ูŠูƒุŸ ูˆู‡ุฐุง ู…ุชุณุงูˆู‰ ูƒุฏู‡ ูŠุง ุนุดุงู† 68
1356
+
1357
+ 340
1358
+ 00:28:53,040 --> 00:28:57,540
1359
+ ุทุจ ู„ูˆ ุญุงุฌุฉ ุฒูŠ ู‡ูŠูƒ ุงู„ sample mean ุจุตูŠ ู†ูุณู‡ุง ุจุงู„ุธุจุท
1360
+
1361
+ 341
1362
+ 00:28:57,540 --> 00:29:06,280
1363
+ ุจุณ ุงุฎุชู„ุงู ู‡ูŠุด ูƒู„ ุญู…ู„ุฉ just replace this x by x bar
1364
+
1365
+ 342
1366
+ 00:29:06,280 --> 00:29:13,480
1367
+ ุจุณ ู‡ูŠ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ูˆ ู†ูุณ ุงู„ู†ุณุจุฉ ุจุงู„ุชุฃูƒูŠุฏ ุจุณ ุนู†ุฏูŠ
1368
+
1369
+ 343
1370
+ 00:29:13,480 --> 00:29:17,340
1371
+ ู…ุดูƒู„ุฉ ูˆุงุญุฏุฉ ุงู†ู‡ ู„ุงุฒู… ุงุญุณุจ mean sigma x barุนุดุงู†
1372
+
1373
+ 344
1374
+ 00:29:17,340 --> 00:29:21,420
1375
+ ุฃุญุณุจู‡ุง ุงู„ู‚ุงู†ูˆู† sigma over square root of n ู„ูˆ ุงู„ุฃู†
1376
+
1377
+ 345
1378
+ 00:29:21,420 --> 00:29:25,820
1379
+ ู…ุด ู…ุนู„ูˆู…ุฉ ู…ู‚ุฏุฑุด ุฃูƒู…ู„ ุนุดุงู† ุฐู„ูƒ ุงู„ู…ุซู„ ุงู„ู„ูŠ ูุงุช
1380
+
1381
+ 346
1382
+ 00:29:25,820 --> 00:29:30,980
1383
+ ู…ูƒู…ู„ุชุด ู„ุฃู†ู‡ ุงู„ุฃู† ู…ุงูƒุงู†ุชุด ู…ูˆุฌูˆุฏุฉ ูˆุงุถุญุŸ ูˆุงุถุญ ููŠ ุฃูŠ
1384
+
1385
+ 347
1386
+ 00:29:30,980 --> 00:29:38,440
1387
+ ุณุคุงู„ุŸ ุฎู„ุงุต ุฃูŠู‡ ุนุดุฑ ุงู„ุณู„ุฉุŸ ูˆุงุถุญ
1388
+
1389
+ 348
1390
+ 00:29:38,440 --> 00:29:41,620
1391
+ ูƒุฏู‡ ุจููƒุฑ ููŠ ุญุงู„ ู…ุซู„ู‡ุงุŸ ู†ุนู… ุฏู‡ ูŠูƒูˆู† ุบุงุถุจ ุงู„ู…ุจุฏุฃ
1392
+
1393
+ 349
1394
+ 00:29:41,620 --> 00:29:46,150
1395
+ ูƒูˆูŠุณ ูู‡ู…ู‡ ูƒูˆูŠุณ ูˆุงู„ู…ุจุฏุฃ ููŠ ุงู„ุญู„ุฎู„ุงุต .. ุฎู„ุงุต ุงู„
1396
+
1397
+ 350
1398
+ 00:29:46,150 --> 00:29:49,910
1399
+ chapter 7 ูˆุงู„ู„ู‡
1400
+
1401
+ 351
1402
+ 00:29:49,910 --> 00:29:56,470
1403
+ ู…ุด ุนุงุฑู ุทู„ุน ุนู„ูŠู‡ู… ุจุฏูƒ
1404
+
1405
+ 352
1406
+ 00:29:56,470 --> 00:30:04,470
1407
+ 11 ูˆ 12ุŒ ู‡ุงูŠ 11 ูˆ 12 ุจุฑุถู‡
1408
+
1409
+ 353
1410
+ 00:30:04,470 --> 00:30:09,290
1411
+ ุฎู„ูŠู†ุง ู†ูƒู…ู„ ู†ูุณ ุงู„ scenario ุงู„ู„ูŠ ูุงุชุญ ุงู„ time spent
1412
+
1413
+ 354
1414
+ 00:30:09,290 --> 00:30:14,660
1415
+ studying by students in the weekfor the final exam
1416
+
1417
+ 355
1418
+ 00:30:14,660 --> 00:30:16,540
1419
+ follows normal distribution with standard
1420
+
1421
+ 356
1422
+ 00:30:16,540 --> 00:30:23,760
1423
+ deviation of 8 ุงุฐุง sigma 8 a random sample of 4
1424
+
1425
+ 357
1426
+ 00:30:23,760 --> 00:30:33,720
1427
+ students ุงู„ N is 4 ูˆุนู†ุฏูŠ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู…ุด ูƒุฏู‡ was
1428
+
1429
+ 358
1430
+ 00:30:33,720 --> 00:30:36,920
1431
+ taken in order to estimate the mean study time for
1432
+
1433
+ 359
1434
+ 00:30:36,920 --> 00:30:42,600
1435
+ the population of all studentsูŠุนู†ูŠ ุงุฎุฏ random
1436
+
1437
+ 360
1438
+ 00:30:42,600 --> 00:30:45,220
1439
+ sample ุจุงุฑุจุนุฉ ูˆ ุงู„ุงุฑุจุนุฉ ู‡ุฏูˆุฉ ุจูŠุนู…ู„ estimation
1440
+
1441
+ 361
1442
+ 00:30:45,220 --> 00:30:50,040
1443
+ ู„ู…ูŠู†ุŸ ู„ู„ู…ูŠู† ุงู„ุตุงุฏุฑ ู„ูƒู„ ุงู„ population ุจุญูƒูŠ what's
1444
+
1445
+ 362
1446
+ 00:30:50,040 --> 00:30:55,480
1447
+ the probability that the sample mean ุงูŠุด ุงุญุชู…ุงู„ ุงู†
1448
+
1449
+ 363
1450
+ 00:30:55,480 --> 00:30:58,900
1451
+ ุงู„ sample mean ู…ุง ู„ูˆ exceed the population mean
1452
+
1453
+ 364
1454
+ 00:30:58,900 --> 00:31:05,860
1455
+ ุจุฒูŠุฏ ุนู† ุงู„ population meanุฃูƒุจุฑ ู…ู† ุงู„ population
1456
+
1457
+ 365
1458
+ 00:31:05,860 --> 00:31:10,520
1459
+ mean by more than two hours ู‡ู„ุฃ ู†ูƒุชุจ ู‡ูŠูƒ exceed
1460
+
1461
+ 366
1462
+ 00:31:10,520 --> 00:31:16,340
1463
+ ูŠุนู†ูŠุด ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ mean ู…ู† ุงู„ mean ุจุฌุฏุงุดุŸ
1464
+
1465
+ 367
1466
+ 00:31:16,340 --> 00:31:19,820
1467
+ population ุจุงุชู†ูŠู† ุจุงุชู†ูŠู† ุจุณ ุงุชู†ูŠู† x bar ู†ู‚ุต ู…ูŠูˆ
1468
+
1469
+ 368
1470
+ 00:31:19,820 --> 00:31:25,580
1471
+ ุฃูƒุจุฑ x bar ุฃูƒุจุฑ ู…ู† ู…ูŠูˆ plus ุงุชู†ูŠู† ู…ุด ู‡ูŠูƒ ู‡ูˆ ู…ุด
1472
+
1473
+ 369
1474
+ 00:31:25,580 --> 00:31:29,140
1475
+ ุจูŠุญูƒูŠ ุงู„ sample mean exceed the population mean by
1476
+
1477
+ 370
1478
+ 00:31:29,140 --> 00:31:32,600
1479
+ more than two hours ุงู‡ ูŠุนู†ูŠ ู‡ูˆ ู…ุถุนู ุนู„ู‰ ุงุชู†ูŠู† ู‡ูˆ
1480
+
1481
+ 371
1482
+ 00:31:32,600 --> 00:31:39,980
1483
+ ู…ุถุนู ุนู„ู‰ ุงุชู†ูŠู†ู…ุด ุงู„ู…ุดูƒู„ุฉ ุงูุถู„ ู„ุฃ ุงูˆ ูƒุงู…ู„ ูŠุนู†ูŠ ู‡ูˆ
1484
+
1485
+ 372
1486
+ 00:31:39,980 --> 00:31:45,360
1487
+ ุจุฏู‡ .. ุจุฏู‡ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ู†ุง ู…ุธุจูˆุท
1488
+
1489
+ 373
1490
+ 00:31:45,360 --> 00:31:49,860
1491
+ ุงูƒู…ู„ ุงู„ุญู„ู‚ุฉ ุงู‡ ู…ุธุจูˆุท ูŠุนู†ูŠ ุงู„ ู…ูŠูˆ ุจุชุฑูˆุญ ู…ุน ุงู„ู…ูŠูˆ
1492
+
1493
+ 374
1494
+ 00:31:49,860 --> 00:31:58,660
1495
+ ุญุงูˆู„ ู„ุฒูŠ score ูƒูŠู ุฒูŠ ูŠุตูŠุฑ ุงู„ score ุจูŠุตูŠุฑ
1496
+
1497
+ 375
1498
+ 00:31:58,660 --> 00:32:03,450
1499
+ ุงู„ x bar minus ู…ูŠูˆSigma over square root of n
1500
+
1501
+ 376
1502
+ 00:32:03,450 --> 00:32:08,930
1503
+ ู…ุธุจูˆุท ุฃูƒุจุฑ ู…ู† ู„ุฃ ุฒูŠ ู…ูŠูˆ ุจู„ุณ ุงู„ุชูŠู† ู…ูˆุฌูˆุฏุฉ minus ุงู„
1504
+
1505
+ 377
1506
+ 00:32:08,930 --> 00:32:12,050
1507
+ ู…ูŠูˆ minus ุงู„ ู…ูŠูˆ ุจูŠุฑุญู„ ู…ุน ุจุนุถ ุนู„ู‰ ุณูŠุฌู…ุง ุนู„ู‰ square
1508
+
1509
+ 378
1510
+ 00:32:12,050 --> 00:32:15,930
1511
+ root of n ูƒู…ุด ุงู„ุณูŠุฌู…ุง ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ูŠู† ุงูˆ ุฌุฒุก ู…ู†
1512
+
1513
+ 379
1514
+ 00:32:15,930 --> 00:32:20,350
1515
+ ุงู„ุฃุนู„ู‰ ูŠุนู†ูŠ ุฏู‡ ู‡ุชุณุงูˆูŠ ุจ ุฃุฏ ุฒูŠ ู…ุด ู…ุธุจูˆุท ุฒูŠ ุงู‡ ุงู‡
1516
+
1517
+ 380
1518
+ 00:32:20,350 --> 00:32:25,210
1519
+ ุงู„ู…ูŠูˆ ุฑุงุญุช ุงุชู†ูŠู† ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุงุชู†ูŠู† ุนู„ู‰
1520
+
1521
+ 381
1522
+ 00:32:25,210 --> 00:32:29,790
1523
+ ุงุฑุจุนุฉ ู†ุต ุจุชุทู„ุน ูƒู„ู‡ ู†ุต ูŠุนู†ูŠ ุนุงูŠุฒ ูŠุจู‚ู‰ ุจู„ุชูˆู ุฒูŠ
1524
+
1525
+ 382
1526
+ 00:32:29,790 --> 00:32:37,660
1527
+ greater than point Fุจู†ุทู„ุญู‡ุง ุนู†ุฏ 2 ุนู†ุฏ ุงู„ู†ุต one
1528
+
1529
+ 383
1530
+ 00:32:37,660 --> 00:32:42,900
1531
+ minus ุฅู„ู‰
1532
+
1533
+ 384
1534
+ 00:32:42,900 --> 00:32:48,060
1535
+ ุนู†ุฏ ุงู„ point five ุงุชุทู„ุน ุชุชุงุจุน point six nine one
1536
+
1537
+ 385
1538
+ 00:32:48,060 --> 00:32:53,840
1539
+ five ุจุธุจุทุŸ ุฅุฐุง ุฃุฑุดุฏ ุฌูˆุงุจ point three zero eight
1540
+
1541
+ 386
1542
+ 00:32:53,840 --> 00:33:00,680
1543
+ five point ุฎู„ุงุต ูุงู„ุฌูˆุงุจ ู„ูˆ ุงุชุทู„ุนุช check the answer
1544
+
1545
+ 387
1546
+ 00:33:02,020 --> 00:33:07,960
1547
+ ู…ุธุจูˆุท ุงู„ุฌูˆุงุจ ู‡ูŠุŸ ุงู‡ ู…ุธุจูˆุท ุทุจ ุงู„ุญู…ุฏ ู„ู„ู‡ ูŠุนู†ูŠ ู…ุนู†ู‰
1548
+
1549
+ 388
1550
+ 00:33:07,960 --> 00:33:14,040
1551
+ ุงู„ุณุคุงู„ ู‡ุฐุง ู…ุนู†ู‰ ุทูˆู„ ุงู„ู…ุนู†ู‰ ุงู„ููƒุฑุฉ
1552
+
1553
+ 389
1554
+ 00:33:14,040 --> 00:33:20,380
1555
+ ุชุงุนุชู‡ ูƒุงู†ุช ุชุงู„ูŠุฉ ุงู„ููƒุฑุฉ ู‡ูŠ find the probability
1556
+
1557
+ 390
1558
+ 00:33:20,380 --> 00:33:25,500
1559
+ that the sample mean exceeds ุจุฒูŠุฏ ุนู† ุงู„ population
1560
+
1561
+ 391
1562
+ 00:33:25,500 --> 00:33:31,050
1563
+ mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ุจุฒูŠุฏby 2 ู„ูˆ ุญูƒู‰ ุจู‚ู„ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1564
+
1565
+ 392
1566
+ 00:33:31,050 --> 00:33:43,310
1567
+ U plus 2 ู„ูˆ ุฃู‚ู„ ุฎู„ุงุต ุฃู‚ู„ ู…ู†ู‡ ุฎู„ุงุต ุฃูŠู‡ 22ุŸ 23ุŸ
1568
+
1569
+ 393
1570
+ 00:33:43,310 --> 00:33:49,370
1571
+ 23 ุฃูŠู‡ 23ุŸ
1572
+
1573
+ 394
1574
+ 00:33:49,370 --> 00:33:52,530
1575
+ ุจุฑุถู‡
1576
+
1577
+ 395
1578
+ 00:33:52,530 --> 00:33:58,210
1579
+ ุงู„ sample meanis more than three hours below the
1580
+
1581
+ 396
1582
+ 00:33:58,210 --> 00:34:02,850
1583
+ population means ุฃูƒุชุจ
1584
+
1585
+ 397
1586
+ 00:34:02,850 --> 00:34:07,950
1587
+ ุจุญูŠูƒ ูˆู„ุง ุจูŠู‚ูˆู„ minus ู†ู‚ุฑุง ูƒูˆูŠุณ is more ู‡ูŠ more
1588
+
1589
+ 398
1590
+ 00:34:07,950 --> 00:34:14,910
1591
+ than three hours below ู‡ูŠูƒ ูˆู„ุง ู‡ูŠูƒ
1592
+
1593
+ 399
1594
+ 00:34:14,910 --> 00:34:19,550
1595
+ ู‡ูˆ
1596
+
1597
+ 400
1598
+ 00:34:19,550 --> 00:34:26,410
1599
+ ุจุญูƒู‰ is more ู‡ูŠ more ู…ุธู„ูˆู…more ู‚ุฏุงุดุŸ three hours
1600
+
1601
+ 401
1602
+ 00:34:26,410 --> 00:34:30,490
1603
+ below ูŠุนู†ูŠ ู‡ูˆ ุฃู‚ู„ ู…ู† ุงู„ mean ุจุชุงู†ูŠุฉ ุงู„ุณุงุนุฉ ูŠุนู†ูŠ
1604
+
1605
+ 402
1606
+ 00:34:30,490 --> 00:34:36,470
1607
+ ุงู„ุชุงู†ูŠุฉ ูŠุนู†ูŠ ุงู„ุชุงู†ูŠุฉ ุงู„ุตุญ ุจุงู„ุชุฑุฌู…ุฉ ู…ุด ุญุฑููŠุฉ ูˆ ุชูƒุชุจ
1608
+
1609
+ 403
1610
+ 00:34:36,470 --> 00:34:41,030
1611
+ more than three below three minus ู„ุฃ ู‡ูˆ ุจู‚ู„ ุนู„ู‰ ุงู„
1612
+
1613
+ 404
1614
+ 00:34:41,030 --> 00:34:45,810
1615
+ mean ุงู„ุชู„ุงุชุฉ ูŠุนู†ูŠ ุงู„ mean ู†ุงู‚ุต ุชู„ุงุชุฉ ูˆุงุถุญุŸ ุฅุฐุง ู‡ุฐู‡
1616
+
1617
+ 405
1618
+ 00:34:45,810 --> 00:34:50,890
1619
+ ู‡ูŠ ุฃูƒู…ู„ู‡ุง ู…ุด ุตุญูŠ ู‡ุชุจู‚ู‰ ุฃูƒู…ู„ุŸ ุฅุฐุง ุจุญูƒูŠ ู„ู‡ู… ุดูˆูŠุฉุŒ
1620
+
1621
+ 406
1622
+ 00:34:50,890 --> 00:34:56,530
1623
+ ู‡ูŠูƒุŸ- mu over sigma over root n ุญูƒูŠู†ุง sigma over
1624
+
1625
+ 407
1626
+ 00:34:56,530 --> 00:35:00,590
1627
+ root n ู‚ุฏูŠุด ุทู„ุนู†ุงู‡ุง ู‡ู†ุง ุชู…ุงู†ูŠุฉ ุฃุชู†ูŠู† ุฃุจู‚ู‰ ุฃุฑุจุนุฉ
1628
+
1629
+ 408
1630
+ 00:35:00,590 --> 00:35:08,210
1631
+ ุจุงู„ุณูˆุงุก ุจูŠ ูˆ ููŠ ุฒูŠ ุฃูƒุจุฑ ู…ู† negative ุชู„ุงุชุฉ ุนู„ู‰
1632
+
1633
+ 409
1634
+ 00:35:08,210 --> 00:35:12,830
1635
+ ุฃุฑุจุนุฉ ูŠุนู†ูŠ negative point seven five ู…ุธุจูˆุท ู‡ูŠ ูŠุนู†ูŠ
1636
+
1637
+ 410
1638
+ 00:35:12,830 --> 00:35:17,310
1639
+ ูˆุงุญุฏ minus ุฒูŠ less than negative point seven five
1640
+
1641
+ 411
1642
+ 00:35:17,310 --> 00:35:19,830
1643
+ ุงู„ุงู† seven five
1644
+
1645
+ 412
1646
+ 00:35:22,540 --> 00:35:30,120
1647
+ -0.75 2266
1648
+
1649
+ 413
1650
+ 00:35:30,120 --> 00:35:36,640
1651
+ ูˆูŠู†
1652
+
1653
+ 414
1654
+ 00:35:36,640 --> 00:35:49,220
1655
+ ุฑุงุญุช ุงู„ุฌูˆุงุจ ู†ุงู‚ุต 7.5 under 5 ู…ุด ู‡ูŠูƒ ุงู„ุฌูˆุงุจ
1656
+
1657
+ 415
1658
+ 00:35:49,220 --> 00:35:51,000
1659
+ 2.266
1660
+
1661
+ 416
1662
+ 00:35:56,910 --> 00:36:04,350
1663
+ ู‡ุฐุง ุงู„ุฌูˆุงุจู„ ููŠ ุงู„ูƒุชุงุจ ู…ุด one minus ุทุจ ุฅูŠุด ุงู„ุณุจุจุŸ
1664
+
1665
+ 417
1666
+ 00:36:04,350 --> 00:36:08,010
1667
+ ุงู„ุฌูˆุงุจู„ ููŠ ุงู„ูƒุชุงุจ point two two six six ูŠุนู†ูŠ ุทุจุนุง
1668
+
1669
+ 418
1670
+ 00:36:08,010 --> 00:36:17,910
1671
+ one minus ูˆุญูƒู‰ list ุฏู‡ุŸ is more than ูˆ ุฃู†ุง ุจุชุนู…ู„ู‡ุง
1672
+
1673
+ 419
1674
+ 00:36:17,910 --> 00:36:22,820
1675
+ ูƒูŠู ุฒูŠ ู…ุง ุฃู†ุง ุนุงูŠุฒูŠุนู†ูŠ ุงูŠุด ุงู„ุบู„ุท ููŠ ุงู„ุญู„ุŸ ุงู‡ ู„ุญุธุฉ
1676
+
1677
+ 420
1678
+ 00:36:22,820 --> 00:36:28,460
1679
+ ุดูˆูŠุฉ ู‡ุงูŠ ุงู„ scenario ุงู„ุฃูˆู„ ู…ุดูŠู‡ุงุŸ ุทุจ
1680
+
1681
+ 421
1682
+ 00:36:28,460 --> 00:36:35,160
1683
+ ุงุฐุง ุนู…ู„ุช P of X bar ุฃูƒุจุฑ ู…ู† ุชู„ุงุชุฉ ู†ู‚ุต ู…ูŠูˆ ุฅูŠุด
1684
+
1685
+ 422
1686
+ 00:36:35,160 --> 00:36:44,780
1687
+ ู‡ุชุตูŠุฑุŸ ุชู„ุงุชุฉ ู†ู‚ุต ู…ูŠูˆ ู†ู‚ุต ู…ูŠูˆ ูˆ ุงู„ sigma ุนู„ู‰ .. ุงู„
1688
+
1689
+ 423
1690
+ 00:36:44,780 --> 00:36:49,310
1691
+ sigma ุงู„ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ูŠู† ุจุงุฑุจุนplus ู‡ุฐู‡ ูˆ ุจุนุฏูŠู†
1692
+
1693
+ 424
1694
+ 00:36:49,310 --> 00:36:53,090
1695
+ ู‡ุฐู‡ ุตุงุฑุช ุณุงู„ุจ ุงุชู†ูŠู† ู…ูŠูˆ ุณุงู„ุจ ุงุชู†ูŠู† ู…ูŠูˆุŸ ุชู„ุงุชุฉ ู†ู‚ุต
1696
+
1697
+ 425
1698
+ 00:36:53,090 --> 00:36:56,670
1699
+ ุงุชู†ูŠู† ู…ูŠูˆุŸ ู…ู† ุงูŠู† ุงุฌูŠุจ ุงู„ู…ูŠูˆ ุทูŠุจุŸ ุงู„ู…ูŠูˆ ู…ุด ู…ุนุฑูˆู
1700
+
1701
+ 426
1702
+ 00:36:56,670 --> 00:36:59,530
1703
+ ู…ุด ู…ุนุฑูˆูุŸ ู‡ุฐุง ุงู„ุทุฑูŠู‚ ุงุตู„ุง ุงุฐุง ู‡ุฐุง ู…ุณุชุญูŠู„ ุชูƒูˆู† ุตุญ
1704
+
1705
+ 427
1706
+ 00:37:01,330 --> 00:37:07,870
1707
+ ู‡ุฐู‡ ู‡ูŠูƒ ู…ุด ุตุญ ู„ุฃ ู‡ูŠ ุงู„ุณุคุงู„ ุงู„ุญุงู„ูŠ ุตุญ ุจุณ ุงู„ุฌูˆุงุจ ู‡ูŠู‡
1708
+
1709
+ 428
1710
+ 00:37:07,870 --> 00:37:11,710
1711
+ ุงู†ุง ุงุดุชุบู„ู‡ุง ู…ุนุงู‡ ู…ูŠูˆ ู†ู‚ุตุฉ plus negative three
1712
+
1713
+ 429
1714
+ 00:37:11,710 --> 00:37:16,490
1715
+ ู…ุธุจูˆ๏ฟฝ๏ฟฝ ู‡ู†ุง ุนู„ู‰ negative point seven five ุฃูƒุจุฑ ู…ู†ู‡ุง
1716
+
1717
+ 430
1718
+ 00:37:16,490 --> 00:37:22,810
1719
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุงู„ negative ู…ุธุจูˆุท ู‡ุฐุง ุฃูƒุจุฑ ู…ู† ุงู„ุฃูƒุจุฑ
1720
+
1721
+ 431
1722
+ 00:37:22,810 --> 00:37:26,890
1723
+ ู…ู† ู‡ูŠ ุงู„ุฃูƒุจุฑ
1724
+
1725
+ 432
1726
+ 00:37:26,890 --> 00:37:31,360
1727
+ ู…ู† negative ุฃูƒูŠุฏ ุฃูƒุชุฑ ู…ู† ู†ุต ุงู„ุฌูˆุงุจุงู„ุฌูˆุงุจ ู‡ูˆ point
1728
+
1729
+ 433
1730
+ 00:37:31,360 --> 00:37:35,380
1731
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1732
+
1733
+ 434
1734
+ 00:37:35,380 --> 00:37:35,380
1735
+ three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four
1736
+
1737
+ 435
1738
+ 00:37:35,380 --> 00:37:35,560
1739
+ ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ
1740
+
1741
+ 436
1742
+ 00:37:35,560 --> 00:37:36,480
1743
+ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven
1744
+
1745
+ 437
1746
+ 00:37:36,480 --> 00:37:39,300
1747
+ seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three
1748
+
1749
+ 438
1750
+ 00:37:39,300 --> 00:37:41,160
1751
+ four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1752
+
1753
+ 439
1754
+ 00:37:41,160 --> 00:37:41,460
1755
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point
1756
+
1757
+ 440
1758
+ 00:37:41,460 --> 00:37:41,540
1759
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1760
+
1761
+ 441
1762
+ 00:37:41,540 --> 00:37:41,540
1763
+ three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four
1764
+
1765
+ 442
1766
+ 00:37:41,540 --> 00:37:41,540
1767
+ ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ
1768
+
1769
+ 443
1770
+ 00:37:41,540 --> 00:37:41,540
1771
+ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven
1772
+
1773
+ 444
1774
+ 00:37:41,540 --> 00:37:41,540
1775
+ seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three
1776
+
1777
+ 445
1778
+ 00:37:41,540 --> 00:37:41,540
1779
+ four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1780
+
1781
+ 446
1782
+ 00:37:41,540 --> 00:37:41,540
1783
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point
1784
+
1785
+ 447
1786
+ 00:37:41,540 --> 00:37:42,520
1787
+ seven seven three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven
1788
+
1789
+ 448
1790
+ 00:37:42,520 --> 00:37:43,260
1791
+ three four ุงู„ุฌูˆุงุจ ู‡ูˆ point seven seven three four
1792
+
1793
+ 449
1794
+ 00:37:43,260 --> 00:37:46,680
1795
+ ุงู„ุฌูˆุงุจ
1796
+
1797
+ 450
1798
+ 00:37:46,680 --> 00:37:49,920
1799
+ ู‡ูˆ point seven seven three four ุงู„ุฌูˆุงุจ
1800
+
1801
+ 451
1802
+ 00:37:59,090 --> 00:38:05,290
1803
+ ุงู„ุฌูˆุงุจ ู‡ุฏู 23 ุงู„ุฌูˆุงุจ ู‡ูŠ 0.7734 ุฅุฐุง
1804
+
1805
+ 452
1806
+ 00:38:05,290 --> 00:38:08,530
1807
+ ุงู„ููƒุฑุฉ ูƒุงู†ุช ู‡ูˆ ุนุงูŠุฒ ุงู„ sample mean ุงู„ู„ูŠ ู‡ูˆ ุงู„ expo
1808
+
1809
+ 453
1810
+ 00:38:08,530 --> 00:38:14,410
1811
+ ุฃูƒุจุฑ more than three hours below the population
1812
+
1813
+ 454
1814
+ 00:38:14,410 --> 00:38:18,190
1815
+ ุฏูƒุชูˆุฑ ุทุจ ุจูŠูุนู„ ู…ุซู„ุง ู†ุฑุณู…ู‡ ู‡ูƒุฐุง ู†ุฑุณู… ุงู„ุฃุดูŠุงุก ูˆ ู†ุดูˆู
1816
+
1817
+ 455
1818
+ 00:38:18,190 --> 00:38:23,010
1819
+ ูƒุฏู‡ ู…ุง ูŠุชูˆุตู„ ู„ู†ุง ุฒูŠู‡ุง ูู„ุฃ ู‡ูˆ ุจูŠุญูƒูŠ ุฃู†ู‡ ู‡ุงูŠ ุงู„ mean
1820
+
1821
+ 456
1822
+ 00:38:23,010 --> 00:38:29,740
1823
+ ุงู„ expo ุงุฑู…ุงู„ู‡ุงู„ุณู…ุจู„ ูŠุนู†ูŠ ุฃูƒุจุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1824
+
1825
+ 457
1826
+ 00:38:29,740 --> 00:38:35,600
1827
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1828
+
1829
+ 458
1830
+ 00:38:35,600 --> 00:38:39,540
1831
+ ูŠุนู†ูŠ ุฃู‚ู„
1832
+
1833
+ 459
1834
+ 00:38:39,540 --> 00:38:47,240
1835
+ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช
1836
+
1837
+ 460
1838
+ 00:38:47,240 --> 00:38:48,460
1839
+ ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1840
+
1841
+ 461
1842
+ 00:38:48,460 --> 00:38:50,120
1843
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1844
+
1845
+ 462
1846
+ 00:38:50,120 --> 00:38:51,880
1847
+ ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1848
+
1849
+ 463
1850
+ 00:38:51,880 --> 00:38:52,700
1851
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1852
+
1853
+ 464
1854
+ 00:38:52,700 --> 00:38:52,700
1855
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1856
+
1857
+ 465
1858
+ 00:38:52,700 --> 00:38:52,720
1859
+ ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„
1860
+
1861
+ 466
1862
+ 00:38:52,720 --> 00:38:52,720
1863
+ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population
1864
+
1865
+ 467
1866
+ 00:38:52,720 --> 00:38:52,720
1867
+ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุงู„ population ูŠุนู†ูŠ ุฃู‚ู„ ู…ู†
1868
+
1869
+ 468
1870
+ 00:38:52,720 --> 00:38:55,730
1871
+ ุซู„ุงุซุจุณ ุฅูŠุด ุญูƒุงูŠุฉุŸ ู„ุฅู† ู‡ูŠ ุนุงูŠุฒุฉ ุงู„ู…ู†ุทู‚ุฉ ุฏูŠ ุจุงู„ุธุจุท
1872
+
1873
+ 469
1874
+ 00:38:55,730 --> 00:39:00,210
1875
+ ู‡ูŠูƒ ุฃูŠ ู…ู†ุทู‚ุฉุŸ ุงู„ู„ูŠ ู‡ูŠูƒ ูˆู„ุง ุงู„ู„ูŠ ู‡ูŠูƒ ุฅุฐุง ุฎุฏุช ุนู„ูŠู‡ุง
1876
+
1877
+ 470
1878
+ 00:39:00,210 --> 00:39:11,010
1879
+ ุตุงุฑ ู…ุนู†ุงู‡ุงุด ุฅู† ุงู„ explore ุฃู‚ู„ ู‡ูˆ ุฅูŠุด ุณุฃู„ุŸ is more
1880
+
1881
+ 471
1882
+ 00:39:11,010 --> 00:39:16,890
1883
+ three hours below ูŠุนู†ูŠ ุชู„ุช .. ุชู„ุช ุณุงุนุงุช ุฃู‚ู„ ู…ู†
1884
+
1885
+ 472
1886
+ 00:39:16,890 --> 00:39:21,940
1887
+ ุงู„ู…ู‚ุงุตุทุจ ูƒุงู…ู„ุฉ ูƒูˆูŠุณุŸ ุฎุด ุชุดูˆู ุงู„ู…ูู‡ูˆู… ุทุจุนู‡ุง ู„ูˆ
1888
+
1889
+ 473
1890
+ 00:39:21,940 --> 00:39:26,440
1891
+ ู‚ุฏุงู…ุช ู„ูˆ ู‚ุฏุงู…ุช ุดูˆูŠุฉ ู„ู…ุง ุจู‚ุฏู… ู‡ู†ุง ุจุณ ู‡ู†ุง ุฏูŠ ู…ูŠูˆ ู†ู‚ุต
1892
+
1893
+ 474
1894
+ 00:39:26,440 --> 00:39:32,200
1895
+ ูƒุฏู‡ุดุŸ ู†ูŠู† .. ู†ูŠู† .. ูˆ ู‡ู†ุง .. ู†ู‚ุต ูˆุงุญุฏ .. ู†ู‚ุต ูˆุงุญุฏ
1896
+
1897
+ 475
1898
+ 00:39:32,200 --> 00:39:35,060
1899
+ ู…ุธุจูˆุท .. ุงู‡ ูˆ ุจุนุฏูŠู† ู…ูŠูˆ .. ูˆ ุจุนุฏุด ุงูŠู‡ ู†ู‚ุต ูˆุงุญุฏุŸ
1900
+
1901
+ 476
1902
+ 00:39:35,060 --> 00:39:41,400
1903
+ ุจุนุฏูŠู† ู…ูŠูˆ .. ุทุจ ุฃู†ุง ุนุงูŠุฒ ู‡ูŠุดุŸ ุฃูƒุชุฑ ู…ู† .. ุทุจ ุฃูƒุชุฑ
1904
+
1905
+ 477
1906
+ 00:39:41,400 --> 00:39:44,680
1907
+ ู…ู† ุชุนุงู„ูŠ ู†ุงุญูŠุฉ ุง๏ฟฝ๏ฟฝุชุงู†ูŠุฉุŒ ุฅูŠุด ู‡ุชุตูŠุฑุŸ ู†ู‚ุต ุฃุฑุจุนุฉ .. ูˆ
1908
+
1909
+ 478
1910
+ 00:39:44,680 --> 00:39:51,190
1911
+ ู‡ูƒุฐุงุŒ ุฅุฐุง ุฃู†ุง ุนุงูŠุฒ ูˆูŠู†ุŸูŠุนู†ูŠ ุนุงูŠุฒ ู‡ุงุฏ ุงู„ู…ู†ุทู‚ุฉ ูŠุนู†ูŠ
1912
+
1913
+ 479
1914
+ 00:39:51,190 --> 00:39:54,510
1915
+ ู…ุทู„ูˆุจ probability of x minus less than u minus
1916
+
1917
+ 480
1918
+ 00:39:54,510 --> 00:39:59,490
1919
+ three ุจุงู„ุฑุบู… ุฃู†ู‡ ุญูƒู‰ more ุจุณ ุนุดุงู† ุญูƒู‰ three hours
1920
+
1921
+ 481
1922
+ 00:39:59,490 --> 00:40:03,910
1923
+ below ูู…ุนุฑุงุณูŠ ู…ุจูŠู†ุฉ ุฅุฐุง ู…ุง ุฃูƒุฏ ุงู„ุดุบู„ ู‡ู†ุง ุตุญ ุจุณ
1924
+
1925
+ 482
1926
+ 00:40:03,910 --> 00:40:08,530
1927
+ ุงู„ู„ูŠ ู‡ุงุฏ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู†ู‡ ุฅุฐุง ู…ุง ุฃูƒุฏ ู‡ุงุฏ ุนู…ู„ู‡ุง
1928
+
1929
+ 483
1930
+ 00:40:08,530 --> 00:40:14,780
1931
+ replaceู„ุง ู‚ู„ู†ุง ูŠุนู†ูŠ ุงู„ุฑุณู… ูŠุง ุฏูƒุชูˆุฑ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุจูŠู†
1932
+
1933
+ 484
1934
+ 00:40:14,780 --> 00:40:20,620
1935
+ ุทุจุนุงุŒ ุงู…ุชุงุฒุฉ ุงู„ุฑุณู… ู‡ูˆ ุงู„ู„ูŠ ุจูŠุจูŠู† ูˆู‡ูŠ ุงู„ุฌูˆุงู†ุจ ุจุญุซ
1936
+
1937
+ 485
1938
+ 00:40:20,620 --> 00:40:24,140
1939
+ ููƒุฑุฉ ุงู„ู…ุซู„ุฉ ุงู„ุขู† ู„ูˆ ู…ุดูŠุช ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ู…ู† ุบูŠุฑ
1940
+
1941
+ 486
1942
+ 00:40:24,140 --> 00:40:28,400
1943
+ ู…ุฑุณูˆู… more than three hours ู„ูˆ ุฌุงู„ above the mean
1944
+
1945
+ 487
1946
+ 00:40:28,400 --> 00:40:33,180
1947
+ ุฎู„ุงุต above the mean ูŠุนู†ูŠ ู‡ู†ุง ูƒูŠู ุชุตูŠุฑ ู„ูˆ above the
1948
+
1949
+ 488
1950
+ 00:40:33,180 --> 00:40:40,470
1951
+ meanุŸ ุฑูƒุฒ ู…ุนุงู‡ุŒ ู‡ูŠ ุงู„ meanู„ูˆ ุญูƒู‰ more than three
1952
+
1953
+ 489
1954
+ 00:40:40,470 --> 00:40:43,310
1955
+ hours above the mean ู‡ุงูŠ above the mean ู…ุธุจูˆุท ู„ูˆ
1956
+
1957
+ 490
1958
+ 00:40:43,310 --> 00:40:47,530
1959
+ ู‡ูŠ ู…ูŠูˆ ุจู„ุณ ุชุฑูŠ ุญูƒู‰ more than three hours ู‡ูŠุด ุญุตูŠุฑ
1960
+
1961
+ 491
1962
+ 00:40:47,530 --> 00:40:50,790
1963
+ ู…ูŠูˆ ุฒูŠ ุงู„ุฃุฑุจุนุฉ ู‡ู†ุง ู…ุธุจูˆุท ู„ู…ุง ูƒุฏู‡ ุงู„ู…ุณุงุญุฉ ุงู„ูŠ ุนู†
1964
+
1965
+ 492
1966
+ 00:40:50,790 --> 00:40:55,570
1967
+ ุงู„ูŠู…ูŠู† ู„ูƒู† ู„ู…ุง ุญูƒู‰ ู…ูŠูˆ ุงูˆ ุงู„ sample mean is more
1968
+
1969
+ 493
1970
+ 00:40:55,570 --> 00:41:00,550
1971
+ than three hours belowู„ู…ุง ุจู…ุดูŠ ู‡ูƒ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุซู„ุงุซุŒ
1972
+
1973
+ 494
1974
+ 00:41:00,550 --> 00:41:03,690
1975
+ ุฅูŠุด ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุดู…ุงู„ุŸ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ุฃูˆ ุณุชุฉ ูˆ ู‡ูƒุฐุง
1976
+
1977
+ 495
1978
+ 00:41:03,690 --> 00:41:06,770
1979
+ ูˆ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุงูŠู†ูˆุณ ุงุชู†ูŠู† ูˆ ู…ุงูŠู†ูˆุณ ูˆุงุญุฏ ูุจุงู„ุชุงู„ูŠ
1980
+
1981
+ 496
1982
+ 00:41:06,770 --> 00:41:09,730
1983
+ ุฃู†ุง ุนุงูŠุฒ ุฃู„ุงู‚ุฑุง ููŠู‡ุง land to the left ููŠู‡ุง ุฏูŠุŒ
1984
+
1985
+ 497
1986
+ 00:41:09,730 --> 00:41:16,470
1987
+ ุฎู„ุงุตุŸ ุฅุฐุง ุฃุฎุฏู‡ุง ุฏุงูŠู…ุง ุจุงู„ุนูƒุณุŒ ุฅุฐุง ุญูƒู‰ below ูˆ ุญูƒู‰
1988
+
1989
+ 498
1990
+ 00:41:16,470 --> 00:41:21,290
1991
+ more thanุŒ ุฅุฐุง ุญูƒูŠ more ูˆ ู‡ู†ุง belowุŒ ุฃุฎุฏู‡ุง ุฃู‚ู„ ุนู„ู‰
1992
+
1993
+ 499
1994
+ 00:41:21,290 --> 00:41:26,640
1995
+ ุทูˆู„ุŒ ููŠ ุงู„ู…ุซู„ ุฅูŠุด ุญูƒูŠ ุงู„ุฃูˆู„ุงู†ูŠุฉุŸ more ู‡ูŠุจุณ ุฅูŠุดุŸ
1996
+
1997
+ 500
1998
+ 00:41:26,640 --> 00:41:30,960
1999
+ why moreุŸ ููŠ ู†ูุณ ุงู„ direction ุจุงุฎุฏ ุฃูƒุจุฑ ุนู„ู‰ ุทูˆู„ ุจุณ
2000
+
2001
+ 501
2002
+ 00:41:30,960 --> 00:41:33,880
2003
+ ุชู‚ูˆู„ูˆุง ู„ูˆ ุฅุญู†ุง ุงู†ุชุจู‡ู†ุง ุฃุตู„ุง ู‡ูˆ ู‡ุงุฏูŠ more ุชุจุน ู„ุฅู†ู‡
2004
+
2005
+ 502
2006
+ 00:41:33,880 --> 00:41:36,420
2007
+ ุงู„ูุฑู‚ ุจูŠู† ุงู„ mu ุชุจุน ุงู„ sample ูˆ ุงู„ mu ุชุจุน ุงู„
2008
+
2009
+ 503
2010
+ 00:41:36,420 --> 00:41:39,100
2011
+ population ู…ุงู„ู‡ุงุด ุฏุฎู„ ุจุงู„ probability ูŠุนู†ูŠ ุจุญูƒูŠู„ูƒ
2012
+
2013
+ 504
2014
+ 00:41:39,100 --> 00:41:42,200
2015
+ ุฅุญุชู…ุงู„ูŠุฉ ุฅู† ุงู„ sample ู…ูŠู† ู‡ูˆ ุงู„ุฃูƒุชุฑ ู…ู† ุงู„
2016
+
2017
+ 505
2018
+ 00:41:42,200 --> 00:41:46,380
2019
+ population ู…ูŠู†ุŸ ุงู„ probability ู‡ูˆ ุทุงู„ุจ ุงู„
2020
+
2021
+ 506
2022
+ 00:41:46,380 --> 00:41:49,240
2023
+ probability ู„ู„ sample ู…ูŠู†ุŸ ุงู‡ ูŠุนู†ูŠ more ู‡ุงุฏูŠ more
2024
+
2025
+ 507
2026
+ 00:41:49,240 --> 00:41:52,920
2027
+ ู…ุงู„ู‡ุงุด ุฏุฎู„ ุจุงู„ probability ู„ุฃ ุฅู„ู‰ ุฏุงุฎู„ ูˆูŠู†ุŸ ุฅู†ู‡
2028
+
2029
+ 508
2030
+ 00:41:52,920 --> 00:41:57,360
2031
+ ุฃู†ุง ุนุงูŠุฒ ุงู„ sample ู…ูŠู†ุŸูŠูƒูˆู† ุฃูƒุชุฑ ู…ู† ุงู„ population
2032
+
2033
+ 509
2034
+ 00:41:57,360 --> 00:42:03,640
2035
+ mean ุจ 3 ุณุงุนุงุช ุจุณ below ูŠุนู†ูŠ ู…ูŠูˆ minus 3 minus 4
2036
+
2037
+ 510
2038
+ 00:42:03,640 --> 00:42:06,140
2039
+ minus 5 and so on
2040
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/K5bkhM1rvFQ_postprocess.srt ADDED
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1
+ 1
2
+ 00:00:20,650 --> 00:00:22,910
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุŒ today ุงู† ุดุงุก ุงู„ู„ู‡ we
4
+
5
+ 2
6
+ 00:00:22,910 --> 00:00:25,990
7
+ continue with chapter 9 at the last lecture we
8
+
9
+ 3
10
+ 00:00:25,990 --> 00:00:29,890
11
+ talked about hypothesis testing and we said that
12
+
13
+ 4
14
+ 00:00:29,890 --> 00:00:33,990
15
+ there's two cases when I will deal with the
16
+
17
+ 5
18
+ 00:00:33,990 --> 00:00:37,710
19
+ hypothesis tests there's two cases, the first one
20
+
21
+ 6
22
+ 00:00:37,710 --> 00:00:42,030
23
+ we said and it depends on the existence of sigma
24
+
25
+ 7
26
+ 00:00:42,030 --> 00:00:46,910
27
+ which is thepopulation standard deviation. We said
28
+
29
+ 8
30
+ 00:00:46,910 --> 00:00:50,510
31
+ that the first case when sigma is known and we
32
+
33
+ 9
34
+ 00:00:50,510 --> 00:00:53,290
35
+ take it in details at the last lecture. We said
36
+
37
+ 10
38
+ 00:00:53,290 --> 00:00:57,090
39
+ that we will use z test and under z test there is
40
+
41
+ 11
42
+ 00:00:57,090 --> 00:01:00,640
43
+ two approaches ุงู„ critical value approach andุงู„ู„ูŠ
44
+
45
+ 12
46
+ 00:01:00,640 --> 00:01:04,500
47
+ ู‡ูˆ S ุงู„ B value approach and we learned how we
48
+
49
+ 13
50
+ 00:01:04,500 --> 00:01:07,520
51
+ calculate B value and we said that we have to
52
+
53
+ 14
54
+ 00:01:07,520 --> 00:01:11,620
55
+ compare B value with Alpha which is the level of
56
+
57
+ 15
58
+ 00:01:11,620 --> 00:01:16,340
59
+ significance. Today we will focus on the second
60
+
61
+ 16
62
+ 00:01:16,340 --> 00:01:22,030
63
+ case which is when Sigma is unknownOkay so the
64
+
65
+ 17
66
+ 00:01:22,030 --> 00:01:26,430
67
+ first slide say do you ever truly know sigma ุงู„ู„ูŠ
68
+
69
+ 18
70
+ 00:01:26,430 --> 00:01:29,250
71
+ ู‡ูŠ population standard deviation ูŠุนู†ูŠ ู‡ู„ุฃ ุงุญู†ุง ู‡ู„
72
+
73
+ 19
74
+ 00:01:29,250 --> 00:01:32,890
75
+ ูุนู„ุง ุฏุงูŠู…ุง ุชูƒูˆู† ุงู„ sigma ู…ุนุฑูˆูุฉ ุนู†ุฏู‰ ูˆู„ุง ู„ุฃ ุจุญูƒูŠู„ูƒ
76
+
77
+ 20
78
+ 00:01:32,890 --> 00:01:35,790
79
+ ุญูŠู† probably not ูŠุนู†ูŠ perhaps ุงู†ู‡ ู…ู…ูƒู† ู…ุง ุชูƒูˆู†ุด
80
+
81
+ 21
82
+ 00:01:35,790 --> 00:01:39,590
83
+ ู…ุนุฑูˆูุฉ ู„ูŠู‡ ุงู„ sigma ุนู†ุฏู‰ ูุจุญูƒูŠู„ูƒ ุงู† virtually all
84
+
85
+ 22
86
+ 00:01:39,590 --> 00:01:42,970
87
+ early world business situations sigma is not known
88
+
89
+ 23
90
+ 00:01:42,970 --> 00:01:46,150
91
+ ูŠุนู†ูŠ ุจุงู„ุญูŠุงุฉ practically ูŠุนู†ูŠ ุจุงู„ุญูŠุงุฉ ุจุงู„ูˆุงู‚ุนูŠุฉ
92
+
93
+ 24
94
+ 00:01:46,150 --> 00:01:49,820
95
+ ู…ุซู„ุง ู†ุญูƒูŠููŠ ุงู„ business situations ุจุงู„ุฃุบู„ุจ ุจุชูƒูˆู†
96
+
97
+ 25
98
+ 00:01:49,820 --> 00:01:53,320
99
+ ุงู„ sigma ู…ุด ู…ุนุฑูˆูุฉ okay ุงู„ ุจุนุฏ ุจุญูƒูŠู„ูƒ if there is
100
+
101
+ 26
102
+ 00:01:53,320 --> 00:01:57,380
103
+ a situation where sigma is known then mu is also
104
+
105
+ 27
106
+ 00:01:57,380 --> 00:02:00,580
107
+ known since to calculate sigma you need to know a
108
+
109
+ 28
110
+ 00:02:00,580 --> 00:02:04,500
111
+ mu ูŠุนู†ูŠ ุจู‚ูˆู„ูƒ ุจุงู„ situation ู„ู…ุง ุจุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ ุงู„
112
+
113
+ 29
114
+ 00:02:04,500 --> 00:02:08,360
115
+ sigma ู…ุนุฑูˆูุฉ ูุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ู…ุนุฑูˆูุฉ ู„ูŠุดุŸ ู„ุฃู†ู‡
116
+
117
+ 30
118
+ 00:02:08,360 --> 00:02:11,400
119
+ ุงู„ sigma ู„ู…ุง ุฃุฌูŠ ุฃุญุณุจ ุงู„ sigma ููŠ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุญุณุงุจ
120
+
121
+ 31
122
+ 00:02:11,400 --> 00:02:14,800
123
+ ุงู„ sigma ุฅูŠุด ู…ูˆุฌูˆุฏุŸ ุงู„ muูุจู…ุง ุงู†ูŠ ุงู†ุง ุทู„ุนุช ุงู„
124
+
125
+ 32
126
+ 00:02:14,800 --> 00:02:17,560
127
+ sigma ุงูˆ ูƒุงู†ุช ู…ุนุฑูˆูุฉ ุงูƒูŠุฏ ุงู„ mu ู…ุนุฑูˆู ู„ุงู† ุจุณุชุฎุฏู…ู‡ุง
128
+
129
+ 33
130
+ 00:02:17,560 --> 00:02:23,620
131
+ ููŠ ุญุณุงุจ ุงู„ sigma okay ุจุณู…ูƒ ุจุชุญูƒูŠ ู„ู„ู‡ุงุชู ุฎุงู†ูˆู† ุงู„
132
+
133
+ 34
134
+ 00:02:23,620 --> 00:02:29,880
135
+ sigma ุงู„ู„ูŠ ู‡ูˆ ุงู„ summation x minus mu square ุฃูˆ
136
+
137
+ 35
138
+ 00:02:29,880 --> 00:02:33,560
139
+ ูˆุฑู‚ูŠู† under square root ุงุฐุง ู„ูˆ ุญูƒูŠู†ุง sigma is non
140
+
141
+ 36
142
+ 00:02:33,560 --> 00:02:36,980
143
+ non
144
+
145
+ 37
146
+ 00:02:36,980 --> 00:02:42,300
147
+ ูŠุนู†ูŠ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
148
+
149
+ 38
150
+ 00:02:42,300 --> 00:02:43,280
151
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
152
+
153
+ 39
154
+ 00:02:43,280 --> 00:02:43,300
155
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
156
+
157
+ 40
158
+ 00:02:43,300 --> 00:02:47,220
159
+ ุงู†ุง ุงู†ุงู…ุธุจูˆุท ูŠุง ุนุฒูŠุฒูŠุŒ ู„ูˆ ุงู„ู€mu ู…ุนุฑูˆูุฉุŒ ูุฃู‚ุฏุฑ ุฃุญุตู„
160
+
161
+ 41
162
+ 00:02:47,220 --> 00:02:53,380
163
+ ุงู„ู€sigma ู„ูƒู† ู„ูˆ ูƒุงู†ุช ุงู„ู€sigma ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ
164
+
165
+ 42
166
+ 00:02:53,380 --> 00:02:59,840
167
+ ูุงู„ู€mu ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ู…ุด ู‡ูŠุŸ ุฃู†ุง ูƒู„ ุดุบู„ ุจูŠู‚ุฏุณุŒ
168
+
169
+ 43
170
+ 00:02:59,840 --> 00:03:03,040
171
+ ูุจุงู„ุชุงู„ูŠ ู…ุงูŠูู‡ุงุด ุชูƒูˆู† ุนู†ุฏูƒ ุงู„ู€mu ู…ุด ู…ุนุฑูˆูุฉุŒ ูˆุงุญุฏ
172
+
173
+ 44
174
+ 00:03:03,040 --> 00:03:06,140
175
+ ุงู„ู€sigmaุŒ ูุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู†ุช ุงู„ู€mu ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ุฃูƒูŠุฏ
176
+
177
+ 45
178
+ 00:03:06,140 --> 00:03:09,380
179
+ ุงู„ู€sigma ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ is it a real practice,
180
+
181
+ 46
182
+ 00:03:09,480 --> 00:03:14,580
183
+ problemsุŸููŠ ุงู„ business situation is always sigma
184
+
185
+ 47
186
+ 00:03:14,580 --> 00:03:14,900
187
+ is unknown
188
+
189
+ 48
190
+ 00:03:19,900 --> 00:03:23,160
191
+ ุงู„ุจุนุฏ ู‡ูˆ ุจูŠุญูƒูŠู„ูƒ if you truly know a mu there
192
+
193
+ 49
194
+ 00:03:23,160 --> 00:03:26,160
195
+ would be no need to gather a sample to estimate it
196
+
197
+ 50
198
+ 00:03:26,160 --> 00:03:28,640
199
+ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุฅู† ู„ูˆ ู…ุซู„ุง ููŠ ุงู„ situation ุงู„ู„ูŠ ุนู†ุฏูŠ
200
+
201
+ 51
202
+ 00:03:28,640 --> 00:03:31,380
203
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ุงู„ู„ูŠ ู‡ูˆ ุงู„ population mean ูƒุงู† ู…ูˆุฌูˆุฏ
204
+
205
+ 52
206
+ 00:03:31,380 --> 00:03:34,720
207
+ ุนู†ุฏู‡ ูู…ุงููŠุด ุฏุงุนูŠุฉ ุฅู† ุฃู†ุง ุฃุนู…ู„ ุฃุฌูŠุจ sample ุนุดุงู†
208
+
209
+ 53
210
+ 00:03:34,720 --> 00:03:39,040
211
+ ุฃุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample mean ุนุดุงู† ูŠุนู†ูŠ ุฎู„ุงุต ูŠุนู†ูŠ
212
+
213
+ 54
214
+ 00:03:39,040 --> 00:03:41,020
215
+ ุจุชูƒููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ population mean ุฅุฐุง ูƒุงู† ู…ูˆุฌูˆุฏ
216
+
217
+ 55
218
+ 00:03:41,020 --> 00:03:44,440
219
+ ุฎู„ุงุต ุจูŠูƒููŠ ุจูŠุณุชุฎุฏู…ู‡ ู‡ูˆ ุงู„ู…ูˆุถูˆุน ุงุณู…ุชู‡ ุชุญูƒูŠ ู†ู‚ุทุฉ
220
+
221
+ 56
222
+ 00:03:44,440 --> 00:03:49,050
223
+ ู…ู‡ู…ุฉุฅุฐุง ุงู„ู€mu ู…ุนุฑูˆูุฉ ู…ู† ุงู„ุฃุตู„ ุฃูˆ ุงู„ู€mu is given ู…ุง
224
+
225
+ 57
226
+ 00:03:49,050 --> 00:03:52,110
227
+ ูƒู†ุช ุจูŠุดุฌุน ุฃุนู…ู„ testing ุฅุฐุง ุงู„ hypothesis test ุงู„ู„ูŠ
228
+
229
+ 58
230
+ 00:03:52,110 --> 00:03:57,110
231
+ ุจูŠู†ุงุนู…ู„ ุงู„ู…ู‡ู… ู‡ูˆ ู„ู…ุง ุชูƒูˆู† ุงู„ู€mu is unknown ุทุงู„ู…ุง
232
+
233
+ 59
234
+ 00:03:57,110 --> 00:03:59,670
235
+ ุงู„ู€mu is unknown ุฃูƒูŠุฏ ุงู†ุง ู‡ุนู…ู„ sample ู„ูƒู† ู„ูˆ ุงู„ู€mu
236
+
237
+ 60
238
+ 00:03:59,670 --> 00:04:03,230
239
+ is given ุจูŠุดุฌุน ุฃุนู…ู„ sample ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงูุชุฑุถ ูˆุงุญุฏ
240
+
241
+ 61
242
+ 00:04:03,230 --> 00:04:06,930
243
+ ุจูŠุญูƒูŠ ุนู…ุฑ ุทุงู„ุฉ ุงู„ุฌุงู…ุนุฉ ุฃุณุชู…ูŠู‡ุง 22 ุณู†ุฉ ุนู…ุฑ ุทุงู„ุฉ
244
+
245
+ 62
246
+ 00:04:06,930 --> 00:04:09,710
247
+ ุงู„ุฌุงู…ุนุฉ ูƒู„ู‡ุง ุจูŠุดุฌุน ุฃุฎุฏ sample ุฃูˆ ุฃุนู…ู„ estimation
248
+
249
+ 63
250
+ 00:04:09,710 --> 00:04:13,490
251
+ ุฃูˆ ุฃุนู…ู„ test ุฅุฐุง if the true mean is given then
252
+
253
+ 64
254
+ 00:04:13,490 --> 00:04:18,290
255
+ there is no needุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
256
+
257
+ 65
258
+ 00:04:18,290 --> 00:04:23,690
259
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจู‡ู„ู‚ูŠุช .. okay ู‡ู„ู‚ูŠุช ุงู„ hypothesis
260
+
261
+ 66
262
+ 00:04:23,690 --> 00:04:26,670
263
+ testing when sigma is unknown ู‡ู„ู‚ูŠุช ู‡ู†ุงุฎุฏ ุงู„
264
+
265
+ 67
266
+ 00:04:26,670 --> 00:04:29,770
267
+ differences between ุงู„ู„ูŠ ู‡ูˆ ุงู„ case ู„ู…ุง ูŠูƒูˆู† ุงู„
268
+
269
+ 68
270
+ 00:04:29,770 --> 00:04:32,890
271
+ sigma non ูˆ ุงู„ sigma unknown ุฑูƒุฒูˆุง ู…ุนุงูŠุง ุฃูˆู„
272
+
273
+ 69
274
+ 00:04:32,890 --> 00:04:35,650
275
+ difference ุจูŠุญูƒูŠู„ูƒ if the population standard
276
+
277
+ 70
278
+ 00:04:35,650 --> 00:04:38,750
279
+ deviation is unknown ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma ูˆู…ุง ูƒุงู†ุช ู…ุด
280
+
281
+ 71
282
+ 00:04:38,750 --> 00:04:41,490
283
+ ู…ุนุฑูˆูุฉ you instead use the sample standard
284
+
285
+ 72
286
+ 00:04:41,490 --> 00:04:44,470
287
+ deviation ุฃุตู„ุง ูŠุนู†ูŠ ุงุฎุชู„ุงู ุจุณูŠุท ุจู…ุง ุฃู† ุงู„
288
+
289
+ 73
290
+ 00:04:44,470 --> 00:04:47,050
291
+ population standard deviation ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma ู…ุด
292
+
293
+ 74
294
+ 00:04:47,050 --> 00:04:49,990
295
+ ู…ุนุฑูˆู ู‡ุณุชุฎุฏู… ุจุฏู„ู‡ุง ู…ูŠู†ุŸุงู„ู„ูŠ ู‡ูˆ ุงู„ S ุงู„ู„ูŠ ู‡ูˆ ุงู„
296
+
297
+ 75
298
+ 00:04:49,990 --> 00:04:53,750
299
+ sample standard deviation ู‡ุงูŠ ุฃูˆู„ ุงุฎุชู„ุงู ุชุงู†ูŠ ุฅุดูŠ
300
+
301
+ 76
302
+ 00:04:53,750 --> 00:04:56,890
303
+ because of this exchange you use the T
304
+
305
+ 77
306
+ 00:04:56,890 --> 00:05:00,290
307
+ distribution instead of use .. instead of the Z
308
+
309
+ 78
310
+ 00:05:00,290 --> 00:05:02,630
311
+ distribution to test the null hypothesis about the
312
+
313
+ 79
314
+ 00:05:02,630 --> 00:05:05,730
315
+ mean ูŠุนู†ูŠ ุจุฏู„ ุงู„ู„ูŠ ุฅุญู†ุง ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ Z
316
+
317
+ 80
318
+ 00:05:05,730 --> 00:05:08,950
319
+ distribution ุฃูˆ Z test ู‡ู„ุฃ ู‡ู†ุณุชุฎุฏู… ุฅุดูŠ ุงุณู…ู‡ T
320
+
321
+ 81
322
+ 00:05:08,950 --> 00:05:12,270
323
+ distribution ุฃูˆ T test ู‡ู„ุฃ ู‡ู†ุดูˆู ูƒูŠู ูŠุนู†ูŠ ุจูŠูƒูˆู†
324
+
325
+ 82
326
+ 00:05:12,270 --> 00:05:16,500
327
+ ุงู„ุฎุทูˆุงุชุชุงู„ุช ุงุฎุชู„ุงู when using the T-distribution
328
+
329
+ 83
330
+ 00:05:16,500 --> 00:05:18,920
331
+ you must assume the population you are sampling
332
+
333
+ 84
334
+ 00:05:18,920 --> 00:05:22,580
335
+ from follows a normal distribution ูŠุนู†ูŠ ู„ู…ุง ุฃุณุชุฎุฏู…
336
+
337
+ 85
338
+ 00:05:22,580 --> 00:05:25,140
339
+ ุงู„ T-test ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏูŠ ููŠู‡ assumption ุฃู†ุง ุฃูุชุฑุถู‡
340
+
341
+ 86
342
+ 00:05:25,140 --> 00:05:28,460
343
+ ุฃูˆ ุญุชู‰ ู…ู† ุงู„ุณุคุงู„ ู‡ูˆ ุจูŠูƒูˆู† ู…ูุชุฑุถ ู„ูƒูŠุง ุฃู†ู‡ ุชูƒูˆู† ุงู„
344
+
345
+ 87
346
+ 00:05:28,460 --> 00:05:31,180
347
+ population follows normal distribution ุชูˆุฒูŠุน ุทุจูŠุนูŠ
348
+
349
+ 88
350
+ 00:05:31,180 --> 00:05:33,860
351
+ ุงู„ population ูˆ ุจุนุฏูŠู† ุจูŠุญูƒูŠู„ูƒ all other steps
352
+
353
+ 89
354
+ 00:05:33,860 --> 00:05:37,180
355
+ concepts and conclusions are the same ุจุงู‚ู‰ ุงู„ุฎุทูˆุงุช
356
+
357
+ 90
358
+ 00:05:37,180 --> 00:05:42,490
359
+ as we take when sigma is none ูŠุนู†ูŠ ู†ูุณ ุงู„ุฎุทูˆุฉุจุณ
360
+
361
+ 91
362
+ 00:05:42,490 --> 00:05:46,610
363
+ basically ู†ุญูƒูŠ ู„ูˆ ุชูƒูˆู† sigma is not given ู‡ูŠ ุงู†ุช
364
+
365
+ 92
366
+ 00:05:46,610 --> 00:05:50,510
367
+ ู„ุงุดุฉ latticeุŒ ุฑู‚ู… ูˆุงุญุฏ ุจูŠ replace sigma which is
368
+
369
+ 93
370
+ 00:05:50,510 --> 00:05:54,760
371
+ unknown by Sุฅุฐุง ู†ุดูŠู„ sigma ูˆ ู†ุทู„ุน ุงู„ .. ุงู„
372
+
373
+ 94
374
+ 00:05:54,760 --> 00:05:57,180
375
+ simplicity ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ sample standard
376
+
377
+ 95
378
+ 00:05:57,180 --> 00:06:01,080
379
+ deviation ู‡ุฐุง ุฑู‚ู… ูˆุงุญุฏ ุฑู‚ู… ุงุชู†ูŠู† ุจุฏู„ ู…ุง ูƒู†ุง ู†ุณุชุฎุฏู…
380
+
381
+ 96
382
+ 00:06:01,080 --> 00:06:05,180
383
+ z for distribution ููŠ ุนู†ุฏู†ุง new tests called T
384
+
385
+ 97
386
+ 00:06:05,180 --> 00:06:08,080
387
+ distribution ุฅุฐุง ุญู†ุง ู†ุณุชุฎุฏู… T ูˆ ู‡ูˆุฑูŠูƒูˆุง ุจุนุฏ ุดูˆูŠุฉ
388
+
389
+ 98
390
+ 00:06:08,080 --> 00:06:10,720
391
+ table ุชุจุน ุงู„ T ูˆ how can we compute the critical
392
+
393
+ 99
394
+ 00:06:10,720 --> 00:06:14,060
395
+ values using T distribution ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ู…ู‡ู…ุฉ
396
+
397
+ 100
398
+ 00:06:14,060 --> 00:06:17,280
399
+ ุฌุฏุง ุฃู†ู‡ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ normal assumption
400
+
401
+ 101
402
+ 00:06:17,280 --> 00:06:20,460
403
+ satisfied ูŠุนู†ูŠ ูุฑุถูŠุฉ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุชูƒูˆู† ู…ุง ู„ู‡ุง
404
+
405
+ 102
406
+ 00:06:20,460 --> 00:06:24,440
407
+ is okayุฃูŠ ุญุงุฌุฉ ุชุงู†ูŠุฉ ุงู„ steps ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู…
408
+
409
+ 103
410
+ 00:06:24,440 --> 00:06:28,260
411
+ still the same ุชุจุชุฏูˆุง ู†ูุณ ุงู„ุดูŠุก ุณูˆุงุก ู…ู† ู†ุงุญูŠุฉ ุงู„
412
+
413
+ 104
414
+ 00:06:28,260 --> 00:06:33,120
415
+ concepts ุฃูˆ ุงู„ conclusions are still the same any
416
+
417
+ 105
418
+ 00:06:33,120 --> 00:06:39,040
419
+ questions ู‡ุฐุง ู…ู‚ุฏู…ุฉ ู„ู…ูˆุถูˆุน ุงู„ sigma is unknown
420
+
421
+ 106
422
+ 00:06:43,750 --> 00:06:46,370
423
+ Okay ู‡ู„ุฃ ุฅุฐุง ุจุญูƒูŠู„ูƒ ุงู„ุขู† ุจู†ุดูˆู ุงู„ู„ูŠ ู‡ูŠ ุฎุทูˆุงุช ุงู„
424
+
425
+ 107
426
+ 00:06:46,370 --> 00:06:49,390
427
+ test ุงูˆู„ ุฅูŠุด ุจูŠุญูƒูŠูƒ test of hypothesis for the
428
+
429
+ 108
430
+ 00:06:49,390 --> 00:06:52,670
431
+ mean when sigma is unknown ุฅูŠุด ุจุฏู†ุง ู†ุญูˆู„ ุงู„ู„ูŠ ู‡ูˆ
432
+
433
+ 109
434
+ 00:06:52,670 --> 00:06:56,710
435
+ convert sample statistic x bar to a t state ูŠุนู†ูŠ
436
+
437
+ 110
438
+ 00:06:56,710 --> 00:07:03,350
439
+ ู‡ู†ุงูƒ ูƒู†ุง ู†ุญูˆู„ ู„ z state ุชูŠ statistic okay ุงู„ู„ูŠ ู‡ูˆ
440
+
441
+ 111
442
+ 00:07:03,350 --> 00:07:08,890
443
+ ู‡ู†ุดูˆู ุฅูŠุด ุงู„ู‚ุงู†ูˆู† ุงู„ t state ุงูˆ statistic equal ุงู„
444
+
445
+ 112
446
+ 00:07:08,890 --> 00:07:17,210
447
+ x bar-M U Divided By S Over Square Root Of NุฒูŠ ู…ุง
448
+
449
+ 113
450
+ 00:07:17,210 --> 00:07:20,170
451
+ ุงุญู†ุง ุดุงูŠููŠู† ุจุดุจู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Z-statistic ุจุณ ุงู„
452
+
453
+ 114
454
+ 00:07:20,170 --> 00:07:23,330
455
+ difference ุงู„ูˆุญูŠุฏ ุงุญู†ุง ุญุงูƒูŠู‡ ุจุฏู„ ุงู„ุณูŠุฌู…ุง ุงู„ู„ูŠ ู‡ูŠ
456
+
457
+ 115
458
+ 00:07:23,330 --> 00:07:26,350
459
+ population standard deviation ุฑุงุญ ู†ุณุชุจุฏู„ู‡ุง ุจ S
460
+
461
+ 116
462
+ 00:07:26,350 --> 00:07:29,350
463
+ ุจุงู„ุฃุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณู… ุจุงู„ standard deviation ุจุณ ูˆู‡ูŠ
464
+
465
+ 117
466
+ 00:07:29,350 --> 00:07:33,730
467
+ ู‡ู†ุง ุญุทุชู„ูƒ ุงู„ู…ุฎุทุท hypothesis test test for the mean
468
+
469
+ 118
470
+ 00:07:33,730 --> 00:07:37,810
471
+ sigma known Z test ุฃู…ุง sigma unknown ู‡ู†ุณุชุฎุฏู… ุงู„ T
472
+
473
+ 119
474
+ 00:07:37,810 --> 00:07:41,990
475
+ test the test statistic is a T statistic equal ู‡ูŠูˆ
476
+
477
+ 120
478
+ 00:07:41,990 --> 00:07:46,310
479
+ X bar minus ุงู„ู…ูŠูˆ divided by S over square root of
480
+
481
+ 121
482
+ 00:07:46,310 --> 00:07:54,840
483
+ Nุจุณ ุงู„ู„ูŠ ุจุนุฏ ู‡ู‡ุŸ ู‡ู„ุฃ ู‡ู†ุงุฎุฏ example ุฑูƒุฒูˆุง ู…ุนุงู‡ ู„ุฅู†ู‡
484
+
485
+ 122
486
+ 00:07:54,840 --> 00:07:58,480
487
+ ููŠ ุฃุดูŠุงุก ุฌุฏูŠุฏุฉ ู‡ู†ุชุนุฑู ุนู„ูŠู‡ุง ูู†ู‚ุฑุฃ ู…ุน ุจุนุถ ุงู„
488
+
489
+ 123
490
+ 00:07:58,480 --> 00:08:04,220
491
+ example ุฎู„ู†ุง ุงู„ example ูˆุงุญุฏุฉ ู…ู†ูƒู… ุชู‚ุฑุฃู‡ ูˆูˆุงุญุฏุฉ
492
+
493
+ 124
494
+ 00:08:04,220 --> 00:08:08,780
495
+ ุชุทู„ุน ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ููŠู‡ ุฎู„ู†ุง ู…ุดุงุฑูƒุฉ ู…ู†ูƒู… ุชุนุงู„ู‰ ู‡ู†ุง
496
+
497
+ 125
498
+ 00:08:10,100 --> 00:08:13,120
499
+ The average cost of a hotel room in New York is
500
+
501
+ 126
502
+ 00:08:13,120 --> 00:08:19,760
503
+ said to be 168$ per night. To determine if this is
504
+
505
+ 127
506
+ 00:08:19,760 --> 00:08:25,550
507
+ true, a random sample of 25 hotelstaken and
508
+
509
+ 128
510
+ 00:08:25,550 --> 00:08:38,050
511
+ resulted in an x of 172.50$ and an s of 15.40$ ุงู„
512
+
513
+ 129
514
+ 00:08:38,050 --> 00:08:42,370
515
+ standard sample standard deviation 15 this is the
516
+
517
+ 130
518
+ 00:08:42,370 --> 00:08:50,130
519
+ appropriate hypothesis at alpha 0.05 ุทู„ุน ุฒู…ูŠู„ุชูƒ
520
+
521
+ 131
522
+ 00:08:50,130 --> 00:08:54,780
523
+ ุญูƒุช ููŠ ุดูƒู„ุชูŠู† ู…ู‡ู…ุงุช ููŠ ุงู„ exampleุจุชุญูƒูŠ ุงู„ average
524
+
525
+ 132
526
+ 00:08:54,780 --> 00:09:00,360
527
+ cost of a hotel room is said to be 168$ ุงู„ 168
528
+
529
+ 133
530
+ 00:09:00,360 --> 00:09:06,740
531
+ ุณุงู…ุจู„ ู…ูŠู† ูˆ ู„ุง ุงู„ population ู…ูŠู† ุงู„ 168 ู‡ูˆ ุจูŠุญูƒูŠุด
532
+
533
+ 134
534
+ 00:09:06,740 --> 00:09:09,640
535
+ ุงู„ average cost of a hotel room in New York ุจู„ุฏ
536
+
537
+ 135
538
+ 00:09:09,640 --> 00:09:18,400
539
+ ูƒู„ู‡ุง population ุฅุฐุง ุงู„ 168 ู…ูŠูˆ ุฅุฐุง ุงู„ ู…ูŠูˆ 168 ู‡ุฐุง
540
+
541
+ 136
542
+ 00:09:18,400 --> 00:09:27,240
543
+ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉุชุชุฃูƒุฏ ุฅุฐุง ูƒุงู† ู‡ุฐุง ุตุญูŠุญ ุจุฏูŠ
544
+
545
+ 137
546
+ 00:09:27,240 --> 00:09:35,400
547
+ ุฃุญุฏุซ ูƒู„ู…ุฉ ุตุญูŠุญุฉ ูˆู„ุง ู„ุฃ ุฎู…ุณูŠู† ูˆุนุดุฑูŠู† ุฎู…ุณูŠู† ูˆุนุดุฑูŠู†
548
+
549
+ 138
550
+ 00:09:37,930 --> 00:09:45,350
551
+ ุฅู† ุงู† ุงูŠู‡ ู‡ุฐู‡ X bar ุตู„ุญูˆู‡ุง ู…ุด X X bar of 172.5$
552
+
553
+ 139
554
+ 00:09:45,350 --> 00:09:50,150
555
+ ูŠุนุทุช X bar average ู…ูŠู† ุงู„ู„ูŠ ูŠุนุทูŠ ุงู„ average ู„ 25
556
+
557
+ 140
558
+ 00:09:50,150 --> 00:09:54,450
559
+ ุงู„ 25 sample ู…ุธุจูˆุท ูู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงู„ sample ู…ูŠู† ูˆู„ุง
560
+
561
+ 141
562
+ 00:09:54,450 --> 00:09:58,010
563
+ ุงู„ population ู…ูŠู† ุงู„ sample ุทุงู„ู…ุง ุญูƒูŠุช random
564
+
565
+ 142
566
+ 00:09:58,010 --> 00:10:02,730
567
+ sample ู„ 25 resulted in ู…ุน ูƒุฏู‡ ุนู†ุฏ ุงู„ sample ู…ูŠู†
568
+
569
+ 143
570
+ 00:10:02,730 --> 00:10:06,390
571
+ ุฅุฐุง ุงู„ X bar equal 172.5
572
+
573
+ 144
574
+ 00:10:12,650 --> 00:10:20,150
575
+ ูˆ S 15.4 ู‡ุฐุง ุงู„ู€ S ู„ุณุงู…ples standard deviation ูˆ
576
+
577
+ 145
578
+ 00:10:20,150 --> 00:10:27,090
579
+ ุงู„ู€ S 15.4 ุทุงู„ุนุด ุจูŠุณุฃู„ ุงู„ test the appropriate
580
+
581
+ 146
582
+ 00:10:27,090 --> 00:10:32,280
583
+ hypothesisุจุฏูˆุง ุงู„ hypothesis ุงู„ู…ู†ุงุณุจุฉ ู‡ูˆ ุงูŠุด ..
584
+
585
+ 147
586
+ 00:10:32,280 --> 00:10:36,180
587
+ ุงูŠุด ุงู„ู„ูŠ ุงุนุทุงู†ูŠุง ุงู† ุงู„ average overall 168 we are
588
+
589
+ 148
590
+ 00:10:36,180 --> 00:10:39,500
591
+ testing this average this null hypothesis against
592
+
593
+ 149
594
+ 00:10:39,500 --> 00:10:43,260
595
+ do you think mu should be .. does not equal to or
596
+
597
+ 150
598
+ 00:10:43,260 --> 00:10:46,220
599
+ greater than or smaller thanุŸ ุงู„ู„ูŠ ู…ูŠุญูƒู…ูˆุง ุงู„ู„ูŠ
600
+
601
+ 151
602
+ 00:10:46,220 --> 00:10:50,710
603
+ ุงู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸู‡ู„ ุญูƒู‰ ููŠ ุงู„ู…ุซู„ุฉ direction ู…ุนูŠู†ุŸ ู„ุฃ
604
+
605
+ 152
606
+ 00:10:50,710 --> 00:10:54,390
607
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
608
+
609
+ 153
610
+ 00:10:54,390 --> 00:10:55,550
611
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
612
+
613
+ 154
614
+ 00:10:55,550 --> 00:10:59,170
615
+ ู„ุฃ ู„ุฃ
616
+
617
+ 155
618
+ 00:10:59,170 --> 00:10:59,350
619
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
620
+
621
+ 156
622
+ 00:10:59,350 --> 00:11:08,530
623
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
624
+
625
+ 157
626
+ 00:11:08,530 --> 00:11:12,830
627
+ ู„
628
+
629
+ 158
630
+ 00:11:19,730 --> 00:11:23,670
631
+ ุงู„ุงู† ู‡ุชุทู„ุนู†ุง ุงู„ information ุงู„ู„ูŠ ู„ุงุฒู…ุฉ ู…ู† ุงู„ู…ุซู„ุฉุŒ
632
+
633
+ 159
634
+ 00:11:23,670 --> 00:11:30,200
635
+ ู…ุงุดูŠูŠู†ุŸ ุจุจุฏุฃ ุฃูƒู…ู„ุŸ ุฃูƒู…ู„ ุฃู†ุงุจู…ุง ุฃู† ูƒุชุจู†ุง ุฅุญู†ุง ุงู„ู„ูŠ
636
+
637
+ 160
638
+ 00:11:30,200 --> 00:11:32,680
639
+ ู‡ูŠ non hypothesis ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ alternative
640
+
641
+ 161
642
+ 00:11:32,680 --> 00:11:37,160
643
+ hypothesis ุงู„ู„ูŠ ู‡ูˆ ุฅู† ุงู„ mu equal 168 ูˆ ุฅู† ุงู„
644
+
645
+ 162
646
+ 00:11:37,160 --> 00:11:42,260
647
+ alternative hypothesis ุฅู† ุงู„ mu not equal 168 ุฃูˆู„
648
+
649
+ 163
650
+ 00:11:42,260 --> 00:11:44,940
651
+ ุดุบู„ ุจู†ุทู„ุน ููŠู‡ุง ุจุงู„ุณุคุงู„ ุฒูŠ ู…ุง ูƒู†ุง ู…ุงุฎุฏูŠู†ู‡ ู‚ุจู„ ุจู†ุดูˆู
652
+
653
+ 164
654
+ 00:11:44,940 --> 00:11:48,500
655
+ ุฅุฐุง ุงู„ sigma non ูˆู„ุง unknown ุทุจุนุง ุนู†ุฏูƒ ุงู„ุณุคุงู„ ุฅุญู†ุง
656
+
657
+ 165
658
+ 00:11:48,500 --> 00:11:51,180
659
+ ูƒุชุจู†ุง ูƒู„ ุงู„ู…ุนุทูŠุงุช ู…ุนุทูŠู†ูŠ ุงู„ sample standard
660
+
661
+ 166
662
+ 00:11:51,180 --> 00:11:54,960
663
+ deviation ุฃู…ุง ุงู„ sigma ู…ุด ู…ุนุฑูˆูุฉ so ุจู†ุญูƒูŠ ุฅู†ู‡ ..
664
+
665
+ 167
666
+ 00:11:54,960 --> 00:12:02,830
667
+ so ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆุงู„ sigma is unknown so
668
+
669
+ 168
670
+ 00:12:02,830 --> 00:12:11,770
671
+ we will use .. ุฅูŠุด ู‡ู†ุณุชุฎุฏู… I test .. T testูˆุจู…ุง
672
+
673
+ 169
674
+ 00:12:11,770 --> 00:12:14,350
675
+ ุฃู†ู†ุง ู‡ุณุชุฎุฏู… ุงู„ T-test ูˆู‡ูˆ ูƒุชุจู„ู‡ you assume the
676
+
677
+ 170
678
+ 00:12:14,350 --> 00:12:16,930
679
+ population distribution is normal ุฅุญู†ุง ุญูƒูŠู†ุง ุฅู†ู‡
680
+
681
+ 171
682
+ 00:12:16,930 --> 00:12:19,770
683
+ ุนุดุงู† ู†ุณุชุฎุฏู… ุงู„ T-test ู„ุงุฒู… ู†ูุชุฑุถ ุฅู†ู‡ ุงู„ population
684
+
685
+ 172
686
+ 00:12:19,770 --> 00:12:22,830
687
+ follows normal distribution ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ
688
+
689
+ 173
690
+ 00:12:22,830 --> 00:12:27,010
691
+ ุทุจุนุง ุจุงู„ T-test ุจุฏู†ุง ู†ุฌูŠุจ ุฅุดูŠ ุงุณู…ู‡ T-statistic
692
+
693
+ 174
694
+ 00:12:27,010 --> 00:12:30,210
695
+ ุงู„ู„ูŠ ู‚ุจู„ ุดู‡ุฑ ูƒุชุจู†ุง ู‚ุงู†ูˆู†ุฉ ู‡ูŠู‡ุง ุฃูˆู„ ุฅุดูŠ ุจู†ุฌูŠุจ ุงู„ T
696
+
697
+ 175
698
+ 00:12:30,210 --> 00:12:30,950
699
+ -statistic
700
+
701
+ 176
702
+ 00:12:35,440 --> 00:12:39,980
703
+ divided by ุงู„ S ุนู„ู‰ a square root of n ูˆู‡ูŠ
704
+
705
+ 177
706
+ 00:12:39,980 --> 00:12:47,200
707
+ ุงู„ู…ูˆุถูˆุนุงุช ุทู„ุนู†ุงู‡ู… ุฏุบุฑูŠ ู…ูˆ ุจุจู‚ู‰ ุดุจูƒุฉ minus ุงู„ู„ูŠ ู‡ูˆ
708
+
709
+ 178
710
+ 00:12:47,200 --> 00:12:50,920
711
+ one hundred sixty eight divided by ุงู„ S ุงู„ู„ูŠ ู‡ูŠ
712
+
713
+ 179
714
+ 00:12:50,920 --> 00:12:55,980
715
+ simple standard deviation fifteen point forty ุนู„ู‰
716
+
717
+ 180
718
+ 00:12:55,980 --> 00:13:00,280
719
+ ุงู„ู„ูŠ ู‡ูˆ a square root of n ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ุจุทู„ุน ุนู†ุฏูŠ
720
+
721
+ 181
722
+ 00:13:00,280 --> 00:13:07,530
723
+ ุงู„ T statistic one point four sixุงู„ุญู…ุฏ ู„ู„ู‡ุงู‡
724
+
725
+ 182
726
+ 00:13:07,530 --> 00:13:11,170
727
+ ู‡ู„ุงู‚ูŠุชู‡ุง ุจุนุฏ ู…ุง ุฌูŠุจู†ุง ุงู„ T statistic ุจุฏู†ุง ู†ุฌูŠุจ
728
+
729
+ 183
730
+ 00:13:11,170 --> 00:13:14,070
731
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุทูˆุฉ ุงู„ู„ูŠ ุจุนุฏู‡ุง ู†ุฑุณู… ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ุนู†ุฏูŠ
732
+
733
+ 184
734
+ 00:13:14,070 --> 00:13:18,010
735
+ ุงู†ุง two-tailed test ู‡ู†ุฑุณู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ .. ู‡ู†ุฑุณู…
736
+
737
+ 185
738
+ 00:13:18,010 --> 00:13:21,370
739
+ ุงู„ุฑุณู…ุฉ ูˆ ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูŠ .. ู†ุฌูŠุจ ุงู„ critical values
740
+
741
+ 186
742
+ 00:13:21,370 --> 00:13:26,330
743
+ ู‡ูŠูƒูˆู† ููŠ ุทุฑูŠู‚ุฉ ุฌุฏูŠุฏุฉ ู„ุญุธุฉ ุจุงู„ู†ุณุจุฉ ู„ T statistic
744
+
745
+ 187
746
+ 00:13:26,330 --> 00:13:30,230
747
+ ุงู„ุดูƒู„ ุชุจุนู‡ ุฒูŠ ุงู„ Z ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„
748
+
749
+ 188
750
+ 00:13:30,230 --> 00:13:33,310
751
+ difference ุจุณ ุจุงู„ุงุชู†ูŠู† ุจุฏู„ sigma ูˆ ุจูŠุจู‚ู‰ sigma
752
+
753
+ 189
754
+ 00:13:33,310 --> 00:13:39,050
755
+ ุจูŠู‚ุงุณ ูˆ ุงู„ informationis given x bar minus mu over
756
+
757
+ 190
758
+ 00:13:39,050 --> 00:13:42,150
759
+ s over square root of n ุทู„ุนุชูŠ ุงู„ statistic one
760
+
761
+ 191
762
+ 00:13:42,150 --> 00:13:45,590
763
+ point four six ุงู„ุงู† ุจุชุงู… ุนู†ุฏู‡ุง ุทู„ุน ู„ critical
764
+
765
+ 192
766
+ 00:13:45,590 --> 00:13:49,070
767
+ value ุงูˆ values in this case we are testing ู…ูŠูˆ
768
+
769
+ 193
770
+ 00:13:49,070 --> 00:13:50,470
771
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
772
+
773
+ 194
774
+ 00:13:50,470 --> 00:13:54,490
775
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
776
+
777
+ 195
778
+ 00:13:54,490 --> 00:14:00,370
779
+ ู…ูŠูˆ
780
+
781
+ 196
782
+ 00:14:01,230 --> 00:14:04,510
783
+ ุจุฏู„ ุงู„ Z table ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ู†ุทู„ุนู‡ุง ู…ู† ุงู„
784
+
785
+ 197
786
+ 00:14:04,510 --> 00:14:08,030
787
+ T table ูˆ ุงู„ T table ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ู…ูˆุฌูˆุฏ ุนู†ุฏูƒ ููŠ
788
+
789
+ 198
790
+ 00:14:08,030 --> 00:14:12,890
791
+ ุงู„ูƒุชุงุจ ููŠ page 282 ุจุณ ู†ูƒู…ู„ .. ุงูุชุญ ุงู„ูƒุชุงุจ .. ุงุฑุณู…
792
+
793
+ 199
794
+ 00:14:12,890 --> 00:14:15,470
795
+ ุงู„ุงุดูŠุงุก ูˆ ู‚ุจู„ ู…ุง ู†ุญูƒูŠ ุงุญู†ุง ุงู„ D ุฃูุชุญ .. ุงูุชุญ
796
+
797
+ 200
798
+ 00:14:15,470 --> 00:14:25,290
799
+ ุงู„ูƒุชุงุจ ู‚ุฑูŠุชู„ูƒูˆุง
800
+
801
+ 201
802
+ 00:14:25,290 --> 00:14:32,910
803
+ ูŠูุชุญ ุนู„ู‰ ุตูุญุฉ 282 ุงู„ู„ูŠ ููŠู‡ุง ุงู„ T tableุฃุฑุณู„ ุฑุณู…ุฉุŸ
804
+
805
+ 202
806
+ 00:14:32,910 --> 00:14:42,730
807
+ ุจุณ
808
+
809
+ 203
810
+ 00:14:42,730 --> 00:14:45,550
811
+ ุจุณ ุญู„ูˆูŠู† ู…ุจู‡ุฑูŠู† ุทูˆู„ุŸ ุฃู‡
812
+
813
+ 204
814
+ 00:14:54,020 --> 00:14:57,740
815
+ ุฒู…ูŠู„ุชูŠ ู‡ุชุจูŠู† ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ table ู…ู† ุดู‡ู„ุชุงู† ุฃุตุบุฑ
816
+
817
+ 205
818
+ 00:14:57,740 --> 00:15:00,320
819
+ ุญูƒูŠู†ุง ุฅู†ู‡ ุงู„ alternative hypothesis ุจู…ุง ุฅู†ู‡ not
820
+
821
+ 206
822
+ 00:15:00,320 --> 00:15:06,880
823
+ equal ูุงู†ุฏูŠ two ุชุงู„ุชุงุช ุงู„ุฑุณู… ู‡ูŠูƒ ู‡ุชูƒูˆู† ูˆุงุญุฏ
824
+
825
+ 207
826
+ 00:15:06,880 --> 00:15:10,900
827
+ ุงู„ู„ูŠ ู‡ูˆ ููŠ ุงู„ right side ูˆ ุงู„ left side ูˆู‡ู†ุง ุญูƒูŠู†ุง
828
+
829
+ 208
830
+ 00:15:10,900 --> 00:15:14,080
831
+ ุฅูŠุด ู‡ุฏูˆู„ ุงู„ critical values ุงู„ู„ูŠ ุฅุญู†ุง ู‡ู†ุฌูŠุจู‡ู… ู‡ุฏูˆู„
832
+
833
+ 209
834
+ 00:15:14,080 --> 00:15:20,300
835
+ ุงู„ู…ู†ุงุทู‚ ุงู„ุชู†ุชูŠู† ุฅูŠุด ุญูƒูˆู†ุงู‡ rejection region ูˆ ู‡ุฐู‡
836
+
837
+ 210
838
+ 00:15:20,300 --> 00:15:25,550
839
+ ุงู„ู…ู†ุทู‚ุฉ non rejection regionูˆุจู…ุง ุงู†ู‡ ุนู†ุฏูŠ ุงู„ alpha
840
+
841
+ 211
842
+ 00:15:25,550 --> 00:15:30,530
843
+ ู‚ุฏุงุด 0.05 ูˆุนู†ุฏูŠ two sides ูู‡ู† note ุฒูŠ ุงู„ alpha
844
+
845
+ 212
846
+ 00:15:30,530 --> 00:15:33,590
847
+ ู‡ุชูƒูˆู† ู‡ู†ุง alpha ุนู„ู‰ ุงุชู†ูŠู† ุงู„ probability ุชุจุนุชู‡ู…
848
+
849
+ 213
850
+ 00:15:33,590 --> 00:15:36,530
851
+ ู‡ูŠู† ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆู‡ูŠ ูƒู…ุงู† ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ู„ุฃู†ู‡ ุนู†ุฏูŠ
852
+
853
+ 214
854
+ 00:15:36,530 --> 00:15:40,350
855
+ two sides ุงู„ู„ูŠ ู‡ูˆ ู‚ุฏุงุด ุจุชุจู‚ู‰ 0.025
856
+
857
+ 215
858
+ 00:15:46,750 --> 00:15:50,230
859
+ ูุชุญุช ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุชุจุน ุงู„ T-table ุฃูˆู„ ุงู„ุดูŠุก ุฒูŠ ู…ุง
860
+
861
+ 216
862
+ 00:15:50,230 --> 00:15:53,950
863
+ ุงู†ุชูˆุง ุดุงูŠููŠู† ููŠ ุนู†ุฏู‡ู… T-table hands ุฅูŠุด ุงุณู…ู‡ุŸ ุงู„ู„ูŠ
864
+
865
+ 217
866
+ 00:15:53,950 --> 00:16:02,070
867
+ ู‡ูˆ DF ุตุญุŸ ู‡ุฐุง ุงู„ DF is equal DF ู‡ูŠ degree of
868
+
869
+ 218
870
+ 00:16:02,070 --> 00:16:07,400
871
+ freedomุงู„ู„ูŠ ู‡ูŠ ุจุงู„ุนุฑุจูŠ ุฏุฑุฌุฉ ุงู„ุญุฑูŠุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ
872
+
873
+ 219
874
+ 00:16:07,400 --> 00:16:10,900
875
+ ู‚ุงู†ูˆู† ุซุงุจุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุงู† ู†ู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample
876
+
877
+ 220
878
+ 00:16:10,900 --> 00:16:15,300
879
+ size minus one okay ุจู†ุฌูŠุจ ุงู„ุฏู‚ูŠู‚ุฉ ูุฃูˆู„ ุฅุดูŠ ุทุจุนุง
880
+
881
+ 221
882
+ 00:16:15,300 --> 00:16:22,320
883
+ ู„ุฅู†ู†ุง ุงู„ุงู† ู‚ุฏุงุด 25minus one ู‚ุฏุด ุจุทู„ุน 24 ู‡ู„ุฃ ูˆ ุงุญู†ุง
884
+
885
+ 222
886
+ 00:16:22,320 --> 00:16:26,600
887
+ ุจู†ุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูŠ ุงู†ุง two sides okay ู‡ู„ุฃ ู„ูˆ ุทู„ุนู†ุง
888
+
889
+ 223
890
+ 00:16:26,600 --> 00:16:30,680
891
+ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุจูŠุญูƒูŠู„ูŠ ู…ุนุทู„ูƒ ุงู†ู‡ table entry for B and
892
+
893
+ 224
894
+ 00:16:30,680 --> 00:16:35,020
895
+ C is the critical value T star with probability B
896
+
897
+ 225
898
+ 00:16:35,020 --> 00:16:38,460
899
+ lying to its right and probability C lying between
900
+
901
+ 226
902
+ 00:16:38,460 --> 00:16:43,880
903
+ minus T star and T star ู…ุนุทู„ูƒูŠ ุงู„ุฌุฏูˆู„ ุงู† ุงูˆู„ ุดูŠ
904
+
905
+ 227
906
+ 00:16:43,880 --> 00:16:47,380
907
+ ู‡ูŠู† ุงู„ DFุงู„ู„ูŠ ุงุญู†ุง ุญุณุจู†ุงู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ N minus one
908
+
909
+ 228
910
+ 00:16:47,380 --> 00:16:50,740
911
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชุฌูŠุจูŠ ู„ูŠู‡ุง ุงู„ DF N minus one ูˆ ุจูŠุญูƒูŠู„ูƒ
912
+
913
+ 229
914
+ 00:16:50,740 --> 00:16:54,240
915
+ ุงู…ุง ุจุชุฑูˆุญูŠ ุชุณุชุฎุฏู… ุงู„ .. ุงู„ upper tail probability
916
+
917
+ 230
918
+ 00:16:54,240 --> 00:16:59,140
919
+ ุงู„ B ู‡ุฐู‡ูƒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ B ุงูˆ ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ ุงู„
920
+
921
+ 231
922
+ 00:16:59,140 --> 00:17:02,140
923
+ ุงุญุชูŠุงุท ุงูˆ ุงุฐุง ูƒุงู† ุนู†ุฏูƒ ู…ูˆุฌุฉ ุจุตุงู„ุจ T ุฒูŠ ู…ุง ุงุญู†ุง
924
+
925
+ 232
926
+ 00:17:02,140 --> 00:17:05,100
927
+ ุนู†ุฏู†ุง ู…ูˆุฌุฉ ุจุตุงู„ุจ T ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ hand
928
+
929
+ 233
930
+ 00:17:05,100 --> 00:17:08,600
931
+ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ hand ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุจุฃุฎุฑ ุงู„ุฌุฏูˆู„ ุชุญุช
932
+
933
+ 234
934
+ 00:17:08,600 --> 00:17:13,340
935
+ ู…ู…ุชุงุฒ ุงู„ุงู† ุฒู…ูŠู„ุชูŠ ูƒุงู†ุช ุญุงูƒุชู‡ ูƒุงู†ุช ุชุงู„ูŠุฉุงู„ table
936
+
937
+ 235
938
+ 00:17:13,340 --> 00:17:17,400
939
+ ุงู„ู„ู‰ ุนู†ุฏู‰ ุงุณู…ู‡ T table ูˆุจูŠุนุทูŠ ุงู„ area to the right
940
+
941
+ 236
942
+ 00:17:17,400 --> 00:17:21,340
943
+ ุดุงูŠู ุงู„ุตูุฑุฉ ู‡ุฐู‡ ุงู„ู„ู‰ ู‡ู†ุง ู‡ุฐู‡ ุงู„ area to the right
944
+
945
+ 237
946
+ 00:17:21,340 --> 00:17:26,200
947
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ู‰ ู‡ู†ุง ุงู„ Z table ูƒุงู† ูŠุนุทูŠ ุงู„ area ู„ูˆูŠู†
948
+
949
+ 238
950
+ 00:17:26,200 --> 00:17:29,640
951
+ to the left ุงู„ T table to the right ุฅุฐุง ู†ู†ุณู‰ ุงู„ุขู†
952
+
953
+ 239
954
+ 00:17:29,640 --> 00:17:33,520
955
+ ุงู„ Z ุงู„ Z area to the left ุงู„ T table ุงู„ area to
956
+
957
+ 240
958
+ 00:17:33,520 --> 00:17:38,620
959
+ the right ุงู„ laws represent degrees of freedom
960
+
961
+ 241
962
+ 00:17:38,620 --> 00:17:42,770
963
+ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉุฒูŠ ู…ุง ุญูƒุช degrees of freedom equals n
964
+
965
+ 242
966
+ 00:17:42,770 --> 00:17:45,750
967
+ minus one in this case we have sample size of
968
+
969
+ 243
970
+ 00:17:45,750 --> 00:17:48,350
971
+ twenty five so degrees of freedom of twenty five
972
+
973
+ 244
974
+ 00:17:48,350 --> 00:17:52,990
975
+ minus one which is twenty four so now two steps
976
+
977
+ 245
978
+ 00:17:52,990 --> 00:17:59,850
979
+ just locate the row of twenty four because degrees
980
+
981
+ 246
982
+ 00:17:59,850 --> 00:18:04,870
983
+ of freedom of twenty four and column of this
984
+
985
+ 247
986
+ 00:18:04,870 --> 00:18:06,830
987
+ probability which is point zero two five
988
+
989
+ 248
990
+ 00:18:10,190 --> 00:18:16,050
991
+ ุงู„ degrees of freedom ุจุนู…ู„ู‡ across ู…ุน ู…ูŠู† ู…ุน ุงู„
992
+
993
+ 249
994
+ 00:18:16,050 --> 00:18:19,210
995
+ probability which is point zero to five ุงุนู…ู„
996
+
997
+ 250
998
+ 00:18:19,210 --> 00:18:25,630
999
+ across ุงู„ู„ูŠ ู‡ูˆู† ุจุทู„ุน ุงู„ุฌูˆุงุจ ุจุทู„ุน ุงู„ุฌูˆุงุจ ู‡ุงูŠ ุงู„ู„ูŠ
1000
+
1001
+ 251
1002
+ 00:18:25,630 --> 00:18:32,010
1003
+ ู‡ูˆ zero two point zero two zero six four ุฅุฐุง
1004
+
1005
+ 252
1006
+ 00:18:32,010 --> 00:18:37,110
1007
+ ุงู„ุฌูˆุงุจ ุทู„ุน two point zero six four ุทุจุนุง
1008
+
1009
+ 253
1010
+ 00:18:37,110 --> 00:18:43,830
1011
+ ุนู†ุฏูŠ ู…ูˆุฌุจ ุณุงู„ุจ Tู„ู…ูŠู† ุงู„ DF 24 ูˆ ุงู„ probability
1012
+
1013
+ 254
1014
+ 00:18:43,830 --> 00:18:48,630
1015
+ ูƒุงู†ุช 0.025 ู‚ุฏุฑุงุช ุทุจุนุง ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ุจุณ ู‡ู… ู†ูุณ ุงู„ู‚ูŠู…ุฉ
1016
+
1017
+ 255
1018
+ 00:18:48,630 --> 00:18:51,870
1019
+ ู‡ุชูƒูˆู† ู„ุฅู†ู‡ normal distribution ุจุณ ูˆุงุญุฏุฉ ุจุงู„
1020
+
1021
+ 256
1022
+ 00:18:51,870 --> 00:18:59,190
1023
+ negative ูˆ ูˆุงุญุฏุฉ ุจุงู„ positive ู…ูˆุฌุฉ ุจุงู„ุณุงู„ุจ 2.64 6
1024
+
1025
+ 257
1026
+ 00:18:59,190 --> 00:19:05,690
1027
+ 4 ุตุญุŸ ู„ุฃ ู„ุฃ ุฃู‚ู„ 2 ุตุญูŠุญ ุจุณ ู‡ูŠูƒ ุตุญ ูŠุนู†ูŠ ุจุณ ุญุท ุงู„
1028
+
1029
+ 258
1030
+ 00:19:05,690 --> 00:19:12,120
1031
+ pointูˆุงุถุญ ู„ุงู† ุงู„ุฃูˆู„ู‰ two point zero six four ูˆ
1032
+
1033
+ 259
1034
+ 00:19:12,120 --> 00:19:19,200
1035
+ ุงู„ุชุงู†ู‰ ุฒูŠู‡ุง negative two point zero six four ู‡ุฏูˆู„
1036
+
1037
+ 260
1038
+ 00:19:19,200 --> 00:19:23,560
1039
+ ู‡ู… ุนู†ุฏูŠ ุทุจุนุง ู‡ุงูŠ ุงู„ู…ูˆุฌุฉ ุจุณุงู„ุจ ุงุชู†ูŠู† point zero six
1040
+
1041
+ 261
1042
+ 00:19:23,560 --> 00:19:34,420
1043
+ four ู‡ู… ุงูŠุด ุงู„ critical values ู‡ุฏูˆู„ ู‡ู‰
1044
+
1045
+ 262
1046
+ 00:19:34,420 --> 00:19:38,040
1047
+ ูƒู„ ุงูŠ ุงุนุตุฑู‡ู„ุฃ ุนู†ุฏ .. ุจู†ุฑุฌุน ู„ู„ูŠ ุฌูŠุจู†ุง .. ุงู„ู„ูŠ ู‡ูŠ ุงู„
1048
+
1049
+ 263
1050
+ 00:19:38,040 --> 00:19:40,860
1051
+ T statistic ุงู„ู„ูŠ ุฅุญู†ุง ุฌูŠุจู†ุงู‡ุง ู‡ูŠ one point four
1052
+
1053
+ 264
1054
+ 00:19:40,860 --> 00:19:44,100
1055
+ six ุจู†ุดูˆู ุฅุฐุง ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุจ rejection region ูˆู„ุง ุจุงู„
1056
+
1057
+ 265
1058
+ 00:19:44,100 --> 00:19:46,440
1059
+ non rejection region ุญุณุจ ู…ูŠู†ุŸ ุญุณุจ ุงู„ critical
1060
+
1061
+ 266
1062
+ 00:19:46,440 --> 00:19:50,160
1063
+ values ูˆูŠู† ู…ูˆุฌูˆุฏุฉุŸ ุงู„ู„ูŠ ู‡ูŠ one point four six ูˆูŠู†
1064
+
1065
+ 267
1066
+ 00:19:50,160 --> 00:19:52,260
1067
+ ู‡ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉุŸ ููŠ rejection .. ููŠ rejection region
1068
+
1069
+ 268
1070
+ 00:19:52,260 --> 00:19:54,860
1071
+ ูˆู„ุง non rejection regionุŸ non .. non rejection
1072
+
1073
+ 269
1074
+ 00:19:54,860 --> 00:20:00,060
1075
+ region ู„ุฃู†ู‡ุง ู‡ุชูƒูˆู† ู‡ุฐู‡ ุชู‚ุฑูŠุจุงone point four six
1076
+
1077
+ 270
1078
+ 00:20:00,060 --> 00:20:04,180
1079
+ ู‡ุชูƒูˆู† ููŠ ุงู„ non rejection region ูุจู…ุง ุฃู†ู‡ ู‡ูŠ ููŠ ุงู„
1080
+
1081
+ 271
1082
+ 00:20:04,180 --> 00:20:08,140
1083
+ non rejection region so we will ash don't reject
1084
+
1085
+ 272
1086
+ 00:20:08,140 --> 00:20:12,880
1087
+ ุงู„ู„ูŠ ู‡ูˆ ash ุงู„ non hypothesis ุจู†ุญูƒูŠ
1088
+
1089
+ 273
1090
+ 00:20:12,880 --> 00:20:16,020
1091
+ ู‡ุฐู‡ ุนู†ุฏ ุงู„ู„ูŠ ุจูŠุฃุชูŠ stat
1092
+
1093
+ 274
1094
+ 00:20:19,750 --> 00:20:25,610
1095
+ one less than ุงู„ู„ูŠ ู‡ูˆ two point between them is
1096
+
1097
+ 275
1098
+ 00:20:25,610 --> 00:20:35,870
1099
+ six part so four point major
1100
+
1101
+ 276
1102
+ 00:20:35,870 --> 00:20:35,990
1103
+ point
1104
+
1105
+ 277
1106
+ 00:20:39,670 --> 00:20:43,890
1107
+ ูˆุจู…ุง ุฃู†ู‡ ุงู„ .. ุฃู…ุง ู„ู…ุง ู†ุฌูŠ ู†ุนู…ู„ proof ู„ู„ .. ุงู„
1108
+
1109
+ 278
1110
+ 00:20:43,890 --> 00:20:46,590
1111
+ alternative hypothesis ู‡ู†ุญูƒูŠ ุฃู†ู‡ there is .. ุงู„ู„ูŠ
1112
+
1113
+ 279
1114
+ 00:20:46,590 --> 00:20:50,450
1115
+ ู‡ูˆ insufficient evidence that the true .. the true
1116
+
1117
+ 280
1118
+ 00:20:50,450 --> 00:20:54,510
1119
+ mean is different .. different from the given mean
1120
+
1121
+ 281
1122
+ 00:20:54,510 --> 00:21:00,050
1123
+ ุงู„ู„ูŠ ู‡ูˆ 168 ู…ู…ุชุงุฒุฉ ุทู„ุน ุฒู…ูŠู„ุชูƒ ุงู„ู„ูŠ ุนู…ู„ุชู‡ ุงู„ุดุบู„ุชูŠู†
1124
+
1125
+ 282
1126
+ 00:21:00,050 --> 00:21:05,120
1127
+ ูˆุฑุง ุจุนุถุฑู‚ู… ูˆุงุญุฏ ุญุณุจุช ุงู„ T statistic one point four
1128
+
1129
+ 283
1130
+ 00:21:05,120 --> 00:21:12,360
1131
+ six ุญุณุจุช ุงู„ critical values ู…ู† ุงู„ T table ูˆ ุงู„ T
1132
+
1133
+ 284
1134
+ 00:21:12,360 --> 00:21:16,780
1135
+ table ุงุณุชุฎุฏุงู…ู‡ ุณู‡ู„ ูˆูˆุฑุฏูƒูŠ ูŠุง ุจู† ุดูˆูŠุฉ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ
1136
+
1137
+ 285
1138
+ 00:21:16,780 --> 00:21:21,120
1139
+ ู‡ูˆ ุงูŠู‡ ุงู„ T table ููŠ ุงู„ T table ุฒูŠ ู…ุง ุญูƒูŠุช ู…ุฑุฉ
1140
+
1141
+ 286
1142
+ 00:21:21,120 --> 00:21:25,160
1143
+ ุชุงู†ูŠุฉ ุจุฑุทู„ุน degrees of freedom at one four ูˆ ุจุฏูˆุฑ
1144
+
1145
+ 287
1146
+ 00:21:25,160 --> 00:21:28,800
1147
+ ุนู„ู‰ ุงู„ probability of one zero two five ุทู„ุนุช ุงู„
1148
+
1149
+ 288
1150
+ 00:21:28,800 --> 00:21:33,170
1151
+ critical value two point zero six fourุฅุฐุง ุงู†ุชุธุฑ
1152
+
1153
+ 289
1154
+ 00:21:33,170 --> 00:21:38,670
1155
+ ุงูŠู‡ ุงู„ 2.064 ุงู„ู„ูŠูุชุด ู‡ุชูƒูˆู† negative 2.064 We
1156
+
1157
+ 290
1158
+ 00:21:38,670 --> 00:21:45,250
1159
+ reject if this statistic fall either to the upper
1160
+
1161
+ 291
1162
+ 00:21:45,250 --> 00:21:49,310
1163
+ side I mean greater than 2.064 ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„
1164
+
1165
+ 292
1166
+ 00:21:49,310 --> 00:21:54,030
1167
+ negative 2.064 Now is this value fall in the
1168
+
1169
+ 293
1170
+ 00:21:54,030 --> 00:22:00,050
1171
+ rejection regionุงู„ู€ 1.46 ุฃู‚ู„ ู…ู† 2.064 ู„ุฃู†ู‡ ูŠุชุฌุงูˆุฒ
1172
+
1173
+ 294
1174
+ 00:22:00,050 --> 00:22:03,730
1175
+ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู…. ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุง ู†ุชุฌุงูˆุฒ
1176
+
1177
+ 295
1178
+ 00:22:03,730 --> 00:22:09,110
1179
+ ุงู„ุญูŠุจูˆุชุณูŠุฒ. ุฅุฐุง ู‚ุฑุงุฑู†ุง ุงูŠุดุŸ ู„ุง ุชุชุฌุงูˆุฒุŒ ูู‡ูˆ ุตุญูŠุญ.
1180
+
1181
+ 296
1182
+ 00:22:09,730 --> 00:22:12,890
1183
+ ู„ุง ูŠูƒููŠ ู„ุญุงู„ู‡ุŒ ุนุงูŠุฒ ูŠุดุชุบู„ ู…ู† ุงู„ู†ุฌุงุฑูŠุฉ ุฅู„ู‰ ุงู„ู†ุชูŠุฌุฉ.
1184
+
1185
+ 297
1186
+ 00:22:13,650 --> 00:22:17,370
1187
+ ุงู„ู†ุชูŠุฌุฉุŒ ูƒู„ู…ุชูŠู† ุจุญูƒูŠู‡ู… ุฏุงุฆู…ุงุŒ ู…ูƒุฑุฑุงุช. ุทุงู„ู…ุง ุญูƒูŠุช
1188
+
1189
+ 298
1190
+ 00:22:17,370 --> 00:22:21,330
1191
+ ู„ุง ุชุชุฌุงูˆุฒุŒ ู…ุน ูƒุฏู‡ุŒ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุธู‡ุงุฑ ุฃู† ุงู„ู€
1192
+
1193
+ 299
1194
+ 00:22:21,330 --> 00:22:26,270
1195
+ true meanCost is different from 168 ูŠุนู†ูŠ ุงู„ุฅุฏุนุงุก
1196
+
1197
+ 300
1198
+ 00:22:26,270 --> 00:22:32,090
1199
+ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุฃู†ู‡ ูŠุฎุชู„ู ุนู† 168 ู…ุง ูŠุฏุนุจุŒ ู…ุงููŠุด ุฏู„ูŠู„
1200
+
1201
+ 301
1202
+ 00:22:32,090 --> 00:22:39,010
1203
+ ูƒุงููŠ ูŠุฏุนุจ ููŠ ุฃูŠ ุณุคุงู„ุŸ
1204
+
1205
+ 302
1206
+ 00:22:39,010 --> 00:22:42,150
1207
+ ููŠ ุงู„ T-testุŒ ุงู„ T-test depends on a new term
1208
+
1209
+ 303
1210
+ 00:22:42,150 --> 00:22:45,890
1211
+ called degrees of freedom ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉุŒ ุฃู†ุช ู…ุด
1212
+
1213
+ 304
1214
+ 00:22:45,890 --> 00:22:50,190
1215
+ ู…ุทู„ูˆุจ ู…ู†ูƒ ููŠ ุงู„ course of basic statisticsุชุนุฑู ุงูŠู‡
1216
+
1217
+ 305
1218
+ 00:22:50,190 --> 00:22:52,790
1219
+ ุงูƒุชุฑ ู…ู† degrees of freedom equals n-1
1220
+
1221
+ 306
1222
+ 00:22:57,220 --> 00:23:00,320
1223
+ ูˆุฃู†ุง ุจุฅู…ูƒุงู†ูŠ ุงุณุชุฎุฏุงู…ู‡ุง ูู‚ุท ู„ูƒุชุงุจุฉ ุงู„ู‚ูŠู…
1224
+
1225
+ 307
1226
+ 00:23:00,320 --> 00:23:03,100
1227
+ ุงู„ูƒุฑูŠุชู‚ุงู„ูŠุฉ ุฅุฐุง ุนุดุงู† ุชุนู…ู„ location ู„ู„ู‚ูŠู…
1228
+
1229
+ 308
1230
+ 00:23:03,100 --> 00:23:07,240
1231
+ ุงู„ูƒุฑูŠุชู‚ุงู„ูŠุฉ ุจู„ุฒู…ู†ูŠ ุดุบู„ุชูŠู† ูˆู‚ุฑุฑุช ุจู‚ู‰ ุชุงู„ุช ู…ุฑุฉ
1232
+
1233
+ 309
1234
+ 00:23:07,240 --> 00:23:11,880
1235
+ ุจู„ุฒู…ู†ูŠ ู…ูŠู† ุงู„ degrees of freedom ุงู„ู„ูŠ ู‡ูŠ 24 ุงู„ู„ูŠ
1236
+
1237
+ 310
1238
+ 00:23:11,880 --> 00:23:15,780
1239
+ ู‡ูŠ n-1 ูˆ ุงู„ probability ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง in this
1240
+
1241
+ 311
1242
+ 00:23:15,780 --> 00:23:20,060
1243
+ case Alpha is 5% ุฅุฐุง ุงู„ probability ู‡ุชูƒูˆู†ุจู‚ู‰ ุฌุณู…ู‡ุง
1244
+
1245
+ 312
1246
+ 00:23:20,060 --> 00:23:22,440
1247
+ ุนู„ู‰ ุงุชู†ูŠู† Zero to five ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ Zero to five
1248
+
1249
+ 313
1250
+ 00:23:22,440 --> 00:23:26,360
1251
+ ุนู„ู‰ ุงู„ุดุงุฑุน ุงู‡ ุงู„ alpha ุจุชูƒูŠ ูŠุนู†ู‰ ู„ูˆ ู…ุงู‚ุถู†ุด ุงู„
1252
+
1253
+ 314
1254
+ 00:23:26,360 --> 00:23:30,160
1255
+ alpha we assume alpha to be five percent any
1256
+
1257
+ 315
1258
+ 00:23:30,160 --> 00:23:36,280
1259
+ question ุงูŠ ุณุคุงู„ ู…ู…ูƒู† ุงู„ุฏูƒุชูˆุฑ ุจุฑุถู‡ ู‡ูŠ non
1260
+
1261
+ 316
1262
+ 00:23:36,280 --> 00:23:41,720
1263
+ rejection ู„ุฃู† ู‡ู†ุง 95 ููŠ ุชุญุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ minus ุชุดูˆู
1264
+
1265
+ 317
1266
+ 00:23:41,720 --> 00:23:48,430
1267
+ ุงู„ table ู…ู† ุชุญุช ุฎุงู„ุต ูŠุนุทูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ Z starุงู„ Z
1268
+
1269
+ 318
1270
+ 00:23:48,430 --> 00:23:52,210
1271
+ star ู‡ุฏูˆู„ ุงู„ Z ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุทุจุนุง ุงู„ T ูˆ ุงู„
1272
+
1273
+ 319
1274
+ 00:23:52,210 --> 00:23:56,730
1275
+ Z close to each other for large sample size ูŠุนู†ูŠ
1276
+
1277
+ 320
1278
+ 00:23:56,730 --> 00:24:00,630
1279
+ when the sample size gets bigger and bigger T
1280
+
1281
+ 321
1282
+ 00:24:00,630 --> 00:24:04,350
1283
+ becomes very small to Z ูŠุนู†ูŠ ู„ู…ุง N ุจุชูƒุจุฑ ูƒุชูŠุฑ
1284
+
1285
+ 322
1286
+ 00:24:04,350 --> 00:24:09,590
1287
+ ุจุชุตูŠุฑ ู‚ูŠู…ุฉ ุงู„ T ูˆ ู‚ูŠู…ุฉ ุงู„ Z ู…ุงู„ู‡ู… ุญูˆุงู„ูŠู† ุจุนุถ ุชู„ุงุญุธ
1288
+
1289
+ 323
1290
+ 00:24:09,590 --> 00:24:14,240
1291
+ ู‡ู†ุง ู„ู…ุง ุงู„ degree of freedom 1000ุทู„ุน ุนู„ู‰ ู‚ูŠู…ุฉ T
1292
+
1293
+ 324
1294
+ 00:24:14,240 --> 00:24:17,920
1295
+ ุงู„ุณุทุฑ ุงู„ู„ูŠ ุฌุงุจู†ูŠ ุงู„ุฃุฎูŠุฑ ูˆุงู„ุณุทุฑ ุงู„ุฃุฎูŠุฑ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
1296
+
1297
+ 325
1298
+ 00:24:17,920 --> 00:24:25,720
1299
+ ู…ุงู„ู‡ ุจุณูŠุท ุงู„ุฃูˆู„ ู‚ูŠู…ุฉ 0.675 ู„ุชุญุช ูƒุฏู‡ุŸ 0.674 ู‡ุฐุง
1300
+
1301
+ 326
1302
+ 00:24:25,720 --> 00:24:31,580
1303
+ ู„ุชุญุช Z ูููŠ ุญุงู„ุฉ ุชุจุนุชู†ุง ุงุฐุง ุชุฐูƒุฑ ู„ู…ุง ูƒุงู†ุช ุงู„ Z star
1304
+
1305
+ 327
1306
+ 00:24:31,580 --> 00:24:37,560
1307
+ 1.96 ู‡ู†ุง job 1.962ูุงู„ุตู„ุงุฉ ุงู„ุฃุฎูŠุฑุฉ ุจูŠุจูŠู† ู„ูŠ ู‚ุฏ ุฅูŠุด
1308
+
1309
+ 328
1310
+ 00:24:37,560 --> 00:24:41,640
1311
+ ู‚ุฑูŠุจ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุงู„ Z ู…ู† ุชูˆุฒูŠุน ุงู„ T ุฅุฐุง as N
1312
+
1313
+ 329
1314
+ 00:24:41,640 --> 00:24:45,720
1315
+ gets bigger and bigger ุจูŠูƒูˆู† ุงู„ T ู…ุงู„ู‡ ู‚ุฑูŠุจ ู…ู† ุงู„
1316
+
1317
+ 330
1318
+ 00:24:45,720 --> 00:24:51,160
1319
+ Z ูŠุนู†ูŠ ู„ู…ุง N ูƒุจูŠุฑุฉ ุจูŠูƒูˆู† ู‚ูŠู…ุฉ ุงู„ T ุชู‚ุฑูŠุจุง ู†ูุณ ู‚ูŠู…ุฉ
1320
+
1321
+ 331
1322
+ 00:24:51,160 --> 00:25:01,060
1323
+ ุงู„ Z ุจุณ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃูŠ ุณุคุงู„ุŸ
1324
+
1325
+ 332
1326
+ 00:25:01,060 --> 00:25:07,050
1327
+ ูƒู… ู„ู‡ุง ุฏู‡ุŸุงู„ุจุนุฏ ู‡ูˆ to use the t-test must assume
1328
+
1329
+ 333
1330
+ 00:25:07,050 --> 00:25:10,310
1331
+ the population is normal ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู†ู‡ ููŠ ู„ุงุฒู…
1332
+
1333
+ 334
1334
+ 00:25:10,310 --> 00:25:12,750
1335
+ ุงู†ู‡ ู†ูุชุฑุถ ุงู†ู‡ ุงู„ population is normal
1336
+
1337
+ 335
1338
+ 00:25:12,750 --> 00:25:15,970
1339
+ distribution, follows normal distribution ุจูŠุญูƒูŠู„ูŠูƒ
1340
+
1341
+ 336
1342
+ 00:25:15,970 --> 00:25:18,770
1343
+ ุนู„ู‰ ุฅุดูŠ as long as the sample size is not very
1344
+
1345
+ 337
1346
+ 00:25:18,770 --> 00:25:22,750
1347
+ small and the population is not very skewed, the t
1348
+
1349
+ 338
1350
+ 00:25:22,750 --> 00:25:26,960
1351
+ -test can be usedุณุจู‚ ูˆุญูƒูŠู†ุง ุงุญู†ุง ู‚ุจู„ ู‡ูŠูƒ ุงู†ู‡ ูƒู„ ู…ุง
1352
+
1353
+ 339
1354
+ 00:25:26,960 --> 00:25:30,480
1355
+ ุงู„ sample size ูƒุจุฑุช ูƒู„ ู…ุง ูƒุงู† ุนู†ุฏู‰ ุญุฌู… ุงู„ุนูŠู†ุฉ ุงูƒุจุฑ
1356
+
1357
+ 340
1358
+ 00:25:30,480 --> 00:25:33,620
1359
+ ูƒู„ ู…ุง ู‚ุฑุจุช ุงู†ู‡ุง ุจูŠูƒูˆู† ุดูƒู„ู‡ุง ุจูŠุจุฏุฃ ูŠุชูˆุฒุน ุงูƒุชุฑ
1360
+
1361
+ 341
1362
+ 00:25:33,620 --> 00:25:35,800
1363
+ ูุจุงู„ุชุงู„ูŠ ุจุชู‚ุฑุจ ุงู†ู‡ ู‡ูŠ ุชุตูŠุฑ normal distribution
1364
+
1365
+ 342
1366
+ 00:25:35,800 --> 00:25:41,060
1367
+ ุงูƒุชุฑ ูุจูŠุญูƒูŠู„ูƒ ุงู†ู‡ ุงุญู†ุง ูƒู„ ู…ุง ุญุฌู… ุงู„ุนูŠู†ุฉ ูƒุจุฑ ูุงู„
1368
+
1369
+ 343
1370
+ 00:25:41,060 --> 00:25:43,280
1371
+ population ู‡ูŠูƒูˆู† ุงูƒุชุฑ ุงู‚ุฑุจ ู„ ุงู„ normal
1372
+
1373
+ 344
1374
+ 00:25:43,280 --> 00:25:46,840
1375
+ distribution ูุจู†ู‚ุฏุฑ ุงู†ู‡ ู†ุณุชุฎุฏู… ุงู„ T test ูˆ ุจุนุฏ ู‡ูŠูƒ
1376
+
1377
+ 345
1378
+ 00:25:46,840 --> 00:25:51,690
1379
+ ุญูƒู‰ ู„ูƒ ุงู„ู„ูŠ ู‡ูˆ .. ุงู†ุง ูˆุงุถุญู‡ุง ุฏูŠ ุงูƒุชุฑุงู„ุดุฑุท ุงู„ุฃุณุงุณูŠ
1380
+
1381
+ 346
1382
+ 00:25:51,690 --> 00:25:54,850
1383
+ ุนุดุงู† ุงุณุชุฎุฏู…ุชูŠู‡ ุงู† ูŠูƒูˆู† ุนู†ุฏู‡ normal distribution is
1384
+
1385
+ 347
1386
+ 00:25:54,850 --> 00:25:58,410
1387
+ satisfied ุนุดุงู† ุฃุถู…ู† normal distribution ู„ุงุฒู… ุงู„
1388
+
1389
+ 348
1390
+ 00:25:58,410 --> 00:26:02,150
1391
+ sample size ูŠูƒูˆู† not very small ูŠุนู†ูŠ ุงูŠุด ุนูƒุณ not
1392
+
1393
+ 349
1394
+ 00:26:02,150 --> 00:26:05,630
1395
+ very smallุŸ large .. large .. ู‡ุฐู‡ ูˆุงุญุฏุŒ ุงู„ุญุงู„ุฉ
1396
+
1397
+ 350
1398
+ 00:26:05,630 --> 00:26:07,990
1399
+ ุงู„ุชุงู†ูŠุฉ and the population is not very skewed
1400
+
1401
+ 351
1402
+ 00:26:07,990 --> 00:26:11,990
1403
+ ู…ุงูŠูƒูˆู†ุด ู…ู„ุชูˆูŠ ูŠู…ูŠู† ุฃูˆ ุดู…ุงู„ ุจุฏุฑุฌุฉ ูƒุจูŠุฑุฉ ูŠุนู†ูŠ ู…ู…ูƒู†
1404
+
1405
+ 352
1406
+ 00:26:11,990 --> 00:26:14,950
1407
+ ูŠูƒูˆู† ููŠู‡ ุงู„ุชูˆุงุก ุดูˆูŠุฉ ู„ูƒู† ู…ุงูŠูƒูˆู†ุด ุงู„ุชูˆุงุก ุจุฏุฑุฌุฉ
1408
+
1409
+ 353
1410
+ 00:26:14,950 --> 00:26:19,930
1411
+ ูƒุจูŠุฑุฉุŒ ู„ุฐุง ููŠ ุญุงู„ุฉ sample size is large enoughor
1412
+
1413
+ 354
1414
+ 00:26:19,930 --> 00:26:22,830
1415
+ population is not very skewed either to the right
1416
+
1417
+ 355
1418
+ 00:26:22,830 --> 00:26:25,870
1419
+ or to the left in this case we can assume the
1420
+
1421
+ 356
1422
+ 00:26:25,870 --> 00:26:29,830
1423
+ population is normal and go ahead using T test ุฅุฐุง
1424
+
1425
+ 357
1426
+ 00:26:29,830 --> 00:26:33,330
1427
+ ุจุณุชุฎุฏู… T ููŠ ู‡ุฏูˆู„ ุงู„ุญุงู„ุชูŠู† how can we evaluate
1428
+
1429
+ 358
1430
+ 00:26:33,330 --> 00:26:38,950
1431
+ normality as we did before in section 6.3 either
1432
+
1433
+ 359
1434
+ 00:26:38,950 --> 00:26:43,710
1435
+ by using histogram ornormal probability but we can
1436
+
1437
+ 360
1438
+ 00:26:43,710 --> 00:26:47,150
1439
+ evaluate if the data is normally distributed ุฎุฏู†ุง
1440
+
1441
+ 361
1442
+ 00:26:47,150 --> 00:26:51,690
1443
+ ุฌุจู„ ู‡ูŠูƒ ุงู„ุงู† ููŠ ู†ู‚ุทุฉ ุงู†ุง ู‡ุดุฑุญู‡ุง ุงู„ู„ูŠ ู‡ูŠ .. ุงู„ู„ูŠ
1444
+
1445
+ 362
1446
+ 00:26:51,690 --> 00:26:55,330
1447
+ ุงุดุฑุญู‡ุง ููŠ ุฒู…ูŠู„ุชูŠ ุงู„ critical value approach ุทุฑูŠู‚ุฉ
1448
+
1449
+ 363
1450
+ 00:26:55,330 --> 00:26:58,810
1451
+ ุงู„ critical value ู‚ูŠุงู… ุงู„ุญุฑุฌุฉ ููŠ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงุณู…ู‡ุง
1452
+
1453
+ 364
1454
+ 00:26:58,810 --> 00:27:03,050
1455
+ ูŠุงุด ุงู„ B value approach ู‚ูŠู…ุฉ ุงู„ B value ุฒูŠ ู…ุง
1456
+
1457
+ 365
1458
+ 00:27:03,050 --> 00:27:07,050
1459
+ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุงู„ุงู† ุจุฏูŠ ุฃูƒูŠุฏ ุงู†ุช ู„ุญุงู„ูƒ
1460
+
1461
+ 366
1462
+ 00:27:07,050 --> 00:27:11,930
1463
+ ู…ุนุงูƒูŠ ุฏู‚ูŠู‚ุชูŠู†ุงุชุทู„ุนูŠู„ูŠ ู‚ูŠู…ุฉ ุงู„ู€ P value ู…ู† ุงู„ table
1464
+
1465
+ 367
1466
+ 00:27:11,930 --> 00:27:15,050
1467
+ ู‡ุฐุง
1468
+
1469
+ 368
1470
+ 00:27:15,050 --> 00:27:18,670
1471
+ ุงู„ slide ู…ุด ุนู†ุฏูƒ .. ู…ุด ููŠ ุงู„ูƒุชุงุจ ู…ูˆุฌูˆุฏุฉ ู‡ุฐุง ุงู„
1472
+
1473
+ 369
1474
+ 00:27:18,670 --> 00:27:21,490
1475
+ slide ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุถู…ู† ุงู„ slides ุงู„ู„ูŠ ู…ุนุงูƒ ู‡ุฐุง ุงู„
1476
+
1477
+ 370
1478
+ 00:27:21,490 --> 00:27:24,810
1479
+ slide ุจุชุญูƒูŠ ุนู† ุงู„ P value approach ุงู†ุช ุญุณุจูŠ ู„ูŠู‡ ู‡ูŠ
1480
+
1481
+ 371
1482
+ 00:27:24,810 --> 00:27:30,630
1483
+ ุจูŠุฏูƒ ุงู„ุขู† ุจุญูƒูŠ ู„ู„ูƒู„ ุทู„ุนูŠ ูˆุฑู‚ุฉ ุตุบูŠุฑุฉ ูˆุงุญุณุจูŠ ู‚ูŠู…ุฉ ุงู„
1484
+
1485
+ 372
1486
+ 00:27:30,630 --> 00:27:34,650
1487
+ P value ู„ู„ test ุงู„ู„ูŠ ุทู„ุนุช ู‚ูŠู…ุชู‡ one point four six
1488
+
1489
+ 373
1490
+ 00:27:34,650 --> 00:27:38,350
1491
+ ุญุงูˆู„ูŠ ู‡ุชุทู„ุนูŠ ุงู„ุฌูˆุงุจ ู„ู„ P value approach
1492
+
1493
+ 374
1494
+ 00:27:41,430 --> 00:27:44,570
1495
+ ุฃูˆู„ ู…ุง ูŠุฎุจุฑ ุงู„ุทุงู„ุจ ุจุฃู† P-Value ู‡ูˆ one point ูู‡ู†ุงูƒ
1496
+
1497
+ 375
1498
+ 00:27:44,570 --> 00:27:51,170
1499
+ ุดูŠุก ุบู„ุท ู„ุฃู† P-Value ุจูŠู† 0 ูˆ 1 ุทุจุนุง
1500
+
1501
+ 376
1502
+ 00:27:51,170 --> 00:27:57,670
1503
+ P-Value ู‡ูŠ probability ุจูŠู† 0 ูˆ 1 ุทูŠุจุŒ
1504
+
1505
+ 377
1506
+ 00:27:57,670 --> 00:28:00,210
1507
+ ู‡ู„ ูŠู…ูƒู† ุฃุญุฏ ุฃู† ูŠุฑูŠู†ูŠ ูƒูŠู ุฃุฎุฑุฌ ุงู„ู„ูˆุญุฉุŸ
1508
+
1509
+ 378
1510
+ 00:28:16,430 --> 00:28:20,030
1511
+ ุทูŠุจ ุฎู„ู‘ูŠู†ูŠ ุฃุญู„ู‡ุง ูˆ ุฃุดูˆู ุงู„ุฎุทุฃ ุนู†ุฏูƒ ุจูŠู† ุงู„ู…ูˆุถูˆุน
1512
+
1513
+ 379
1514
+ 00:28:20,030 --> 00:28:30,610
1515
+ ุฑูƒุฒูŠ ู…ุนุงูŠุง ุงู„ู…ูŠูˆ ู…ุงู„ู‡ุง ู…ุงุชุณูˆูŠุด 168 ูŠุนู†ูŠ one-tailed
1516
+
1517
+ 380
1518
+ 00:28:30,610 --> 00:28:39,150
1519
+ ูˆู„ุง two-tailedุŸ two-tailed ุงุฐุง
1520
+
1521
+ 381
1522
+ 00:28:39,150 --> 00:28:39,710
1523
+ ุงู„ B value
1524
+
1525
+ 382
1526
+ 00:28:42,580 --> 00:28:53,700
1527
+ ู†ุญู† ู†ุจุญุซ ุนู† ุงุนุชู‚ุงุฏ T ุฅู…ุง ุฃู† ูŠุณู‚ุท ููŠ ู‡ุฐุง ุงู„ุฌุงู†ุจ
1528
+
1529
+ 383
1530
+ 00:28:53,700 --> 00:29:02,420
1531
+ ุงู„ุตุญูŠุญุŒ ุงู„ุขู† ู‚ูŠู…ุฉ ุชุงุนุชู‚ุงุฏ T ู‡ูŠ 1.46ุŒ ู„ุฐู„ูƒ ุฃูƒุชุฑ ู…ู†
1532
+
1533
+ 384
1534
+ 00:29:02,420 --> 00:29:11,470
1535
+ 1.46. ุงู„ุฃู† ุจู…ุง ุฃู†ู†ุง ู†ุชุญุฏุซ ุนู† ุชุฌุงุฑุจ 2Dุชูƒูˆู† ู‡ู†ุงูƒ
1536
+
1537
+ 385
1538
+ 00:29:11,470 --> 00:29:17,410
1539
+ ุงุชูุงู‚ูŠู† ู…ู† ุงู„ู…ู†ุงุทู‚ ูˆุงุญุฏ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ูˆุงู„ุขุฎุฑ
1540
+
1541
+ 386
1542
+ 00:29:17,410 --> 00:29:23,170
1543
+ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ
1544
+
1545
+ 387
1546
+ 00:29:23,170 --> 00:29:27,570
1547
+ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰
1548
+
1549
+ 388
1550
+ 00:29:27,570 --> 00:29:33,050
1551
+ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1
1552
+
1553
+ 389
1554
+ 00:29:33,050 --> 00:29:35,950
1555
+ .46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰
1556
+
1557
+ 390
1558
+ 00:29:35,950 --> 00:29:38,850
1559
+ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1
1560
+
1561
+ 391
1562
+ 00:29:38,850 --> 00:29:42,300
1563
+ .46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46ุฅุฐุง ููŠ ุงู„ู€ two-sided ุฃูˆ ุงู„ู€
1564
+
1565
+ 392
1566
+ 00:29:42,300 --> 00:29:47,300
1567
+ two-tailed test ุจุทู„ุน ูˆุงุญุฏุฉ ูˆ ุจุถุฑุจ ููŠ ุงุชู†ูŠู† ู‡ูŠ
1568
+
1569
+ 393
1570
+ 00:29:47,300 --> 00:29:52,580
1571
+ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† B T greater than plus B of T smaller
1572
+
1573
+ 394
1574
+ 00:29:52,580 --> 00:29:59,160
1575
+ than negative ุจุณ ู‡ุฏูˆู„ ุฒูŠ ุจุนุถ ูุจุงุฎุฏ ูˆุงุญุฏุฉ ูˆ ุจุถุฑุจ ููŠ
1576
+
1577
+ 395
1578
+ 00:29:59,160 --> 00:30:03,700
1579
+ ุงุชู†ูŠู† ู„ุฃู†
1580
+
1581
+ 396
1582
+ 00:30:03,700 --> 00:30:05,740
1583
+ ุงู„ table ุงู„ู…ุนู†ู‰ ุจูŠุนุทูŠ ู„ู†ุง to the right
1584
+
1585
+ 397
1586
+ 00:30:08,780 --> 00:30:12,560
1587
+ most likely the table will not give the exact
1588
+
1589
+ 398
1590
+ 00:30:12,560 --> 00:30:19,880
1591
+ result of B value because T of 1.46 is not exactly
1592
+
1593
+ 399
1594
+ 00:30:19,880 --> 00:30:26,200
1595
+ in the table if you look at 24 now we are looking
1596
+
1597
+ 400
1598
+ 00:30:26,200 --> 00:30:35,000
1599
+ for 1.46 we locate 24 degrees of freedom ูˆุจุฏูˆุฑ ุนู„ู‰
1600
+
1601
+ 401
1602
+ 00:30:35,000 --> 00:30:46,350
1603
+ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู…ูŠู†ุงู„ู‚ูŠู…ุฉ 1.46 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุงู†ุง
1604
+
1605
+ 402
1606
+ 00:30:46,350 --> 00:30:53,570
1607
+ ุญุณุจุชู‡ุง ุงู‚ุฑุจ
1608
+
1609
+ 403
1610
+ 00:30:53,570 --> 00:30:59,250
1611
+ 1.318
1612
+
1613
+ 404
1614
+ 00:31:01,670 --> 00:31:03,810
1615
+ ุฅุฐุง ู…ุนู†ุงู‡ุง ูƒุฏู‡ ุงู„ุฌูˆุงุจ ู‡ุชุทู„ุน ู…ุนุงู‡ุง exact ูˆู„ุง
1616
+
1617
+ 405
1618
+ 00:31:03,810 --> 00:31:08,510
1619
+ approximate resultุŸ approximate ุฅุฐุง ุฏู„ูˆู‚ุชูŠ ุชูŠ ุชูŠุจู„
1620
+
1621
+ 406
1622
+ 00:31:08,510 --> 00:31:11,970
1623
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1624
+
1625
+ 407
1626
+ 00:31:11,970 --> 00:31:12,170
1627
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1628
+
1629
+ 408
1630
+ 00:31:12,170 --> 00:31:12,630
1631
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1632
+
1633
+ 409
1634
+ 00:31:12,630 --> 00:31:15,370
1635
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1636
+
1637
+ 410
1638
+ 00:31:15,370 --> 00:31:15,590
1639
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1640
+
1641
+ 411
1642
+ 00:31:15,590 --> 00:31:16,630
1643
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1644
+
1645
+ 412
1646
+ 00:31:16,630 --> 00:31:30,250
1647
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏ
1648
+
1649
+ 413
1650
+ 00:31:30,720 --> 00:31:35,880
1651
+ ุฅูŠุด ุจุชุณุงูˆูŠุŸ two times point one equals point two
1652
+
1653
+ 414
1654
+ 00:31:35,880 --> 00:31:41,340
1655
+ one more time to get your b value there are two
1656
+
1657
+ 415
1658
+ 00:31:41,340 --> 00:31:45,940
1659
+ steps first we have two sided or two tailed test
1660
+
1661
+ 416
1662
+ 00:31:45,940 --> 00:31:49,660
1663
+ so my b value equals b of t greater than one point
1664
+
1665
+ 417
1666
+ 00:31:49,660 --> 00:31:53,480
1667
+ four six or smaller than negative one point four
1668
+
1669
+ 418
1670
+ 00:31:53,480 --> 00:31:58,880
1671
+ six these two areas are the same are equalุจู†ูƒู…ู„ ูƒู„
1672
+
1673
+ 419
1674
+ 00:31:58,880 --> 00:32:04,380
1675
+ ูˆุงุญุฏุฉ ู…ู†ู‡ุง ูˆู†ุฒูŠู„ู‡ุง ุจู€ 2 ู„ุฐู„ูƒ ู†ุณุชุฎุฏู… just T ุฃูƒุชุฑ
1676
+
1677
+ 420
1678
+ 00:32:04,380 --> 00:32:07,280
1679
+ ู…ู†ู‡ุง ู„ุฃู† ุงู„ุทุงุจู‚ ูŠุฏูุน ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑ ุฅุฐุง
1680
+
1681
+ 421
1682
+ 00:32:07,280 --> 00:32:12,100
1683
+ ุจุงุฎุฏ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุณ ุจุฏูˆุฑ ุนู„ู‰ 1.466 ุงู„ู€ exact
1684
+
1685
+ 422
1686
+ 00:32:12,100 --> 00:32:18,420
1687
+ ู…ุด ู…ูˆุฌูˆุฏุฉ ุจุงุฎุฏ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู‡ุง ุฃู‚ุฑุจ ู‚ูŠู…ุฉ 1.318 ุจุนู…ู„
1688
+
1689
+ 423
1690
+ 00:32:18,420 --> 00:32:22,910
1691
+ cross ู…ุน ุงู„ุญู‚ ู…ุน ุงู„ lineู…ุน ุงู„ู€ column ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ
1692
+
1693
+ 424
1694
+ 00:32:22,910 --> 00:32:27,050
1695
+ ุจูŠุทู„ุน point 10 ูุงู„ P value ุจุชุณุงูˆูŠ 2 ู…ุงู†ุณุงุด ุงู„ุฅุซู†ูŠู†
1696
+
1697
+ 425
1698
+ 00:32:27,050 --> 00:32:33,650
1699
+ ุงู„ุฅุซู†ูŠู† ุฅุฌุช ู…ู† ูˆูŠู†ุŸ ุนุดุงู† ุงู„ 2 ุชุงู„ุช times point 10
1700
+
1701
+ 426
1702
+ 00:32:33,650 --> 00:32:38,950
1703
+ ุงู„ุฌูˆุงุจ ุทูˆู„ู‡ ุงู‚ุชุจุงู„ universal now decision rule if
1704
+
1705
+ 427
1706
+ 00:32:38,950 --> 00:32:47,400
1707
+ P value this is our rule if P valueุฃู‚ู„ ู…ู† ุงู„ู€
1708
+
1709
+ 428
1710
+ 00:32:47,400 --> 00:32:50,840
1711
+ Alpha ุฅุฐุง ู‚ูŠู…ุฉ B ุฃู‚ู„ ู…ู† ุงู„ู€ Alpha ูู†ุญู† ู†ู‚ูุฒ ู…ู†
1712
+
1713
+ 429
1714
+ 00:32:50,840 --> 00:32:58,040
1715
+ ุงู„hypothesis ู†ู‚ูุฒ ุฅู„ุง ุฃู†ู†ุง ู„ุง ู†ู‚ูุฒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1716
+
1717
+ 430
1718
+ 00:32:58,040 --> 00:33:06,000
1719
+ ู‚ูŠู…ุฉ B ู…ู† ุงู„ู€ 0.20% ู‡ูŠ ุฃูƒุชุฑ ู‡ูŠ ุฃูƒุชุฑ ู…ู† Alpha ูู‡ุฐุง
1720
+
1721
+ 431
1722
+ 00:33:06,000 --> 00:33:14,720
1723
+ ุฃูƒุชุฑ ู…ู† Alpha ู…ู† 5% ู„ุฐู„ูƒ ู„ุง ู†ู‚ูุฒ
1724
+
1725
+ 432
1726
+ 00:33:36,530 --> 00:33:42,310
1727
+ ุจุฅู…ูƒุงู†ูƒ ุงุณุชุฎุฏุงู… ุจุฑุงู…ุฌ ุญุตุงุฆูŠุฉ ุฌุงู‡ุฒุฉ ุชุนุทูŠูƒ ุงู„ู€ exact
1728
+
1729
+ 433
1730
+ 00:33:42,310 --> 00:33:42,830
1731
+ result
1732
+
1733
+ 434
1734
+ 00:33:46,800 --> 00:33:52,740
1735
+ around point one five seven point one five seven
1736
+
1737
+ 435
1738
+ 00:33:52,740 --> 00:33:59,280
1739
+ ู‡ุฐ ุงู„ exact answer ู†ุญู† ู…ุด ู‡ุชุทู„ุน ุงู„ exact ู†ู‡ุงุฆูŠุงุŒ
1740
+
1741
+ 436
1742
+ 00:33:59,280 --> 00:34:02,980
1743
+ ู‡ุชุทู„ุน ุงู„ approximate value ุฎู„ุงุตุŸ ุฅุฐุง ู‡ุงูŠ ุงู„ two
1744
+
1745
+ 437
1746
+ 00:34:02,980 --> 00:34:05,680
1747
+ approaches to reject or don't reject the null
1748
+
1749
+ 438
1750
+ 00:34:05,680 --> 00:34:10,080
1751
+ hypothesis ุทูŠุจ ุงู„ู„ูŠ ู‚ุงู„ ุฌุงูŠ ุจุงุฎุฏ ุงู„ one tipุŒ
1752
+
1753
+ 439
1754
+ 00:34:10,080 --> 00:34:14,460
1755
+ ุฐุงูƒุฑูŠู† ุงูŠู‡ ุจูˆุŸ ุฎู„ุงุตุŸ
1756
+
1757
+ 440
1758
+ 00:34:14,460 --> 00:34:16,080
1759
+ ู…ุด ู…ุดูƒู„ุฉุŒ ุจูƒุฑุง ุจู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
1760
+
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@@ -0,0 +1,1994 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:24,690
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูˆู…ู† ุซู… ุณุฃูƒู…ู„ ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ
4
+
5
+ 2
6
+ 00:00:24,690 --> 00:00:31,370
7
+ ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุฏุณุฉ ูˆุงู„ุชูŠ ุชุชุนุงู…ู„ ู…ุน ุนุงุฏูŠุฉ ูŠุนู†ูŠ
8
+
9
+ 3
10
+ 00:00:31,370 --> 00:00:37,210
11
+ ูƒูŠู ู†ุนุฑู ุฅู† ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ู…ุด ุทุจูŠุนูŠุŸ ุฒูŠ ู…ุง
12
+
13
+ 4
14
+ 00:00:37,210 --> 00:00:39,090
15
+ ุญูƒูŠู†ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุชุฉุŒ ู„ูŠุณ ูƒู„ ุงู„ู…ูˆุงุตูุงุช ุงู„ู…ุณุชู…ุฑุฉ
16
+
17
+ 5
18
+ 00:00:39,090 --> 00:00:45,050
19
+ ุนุงุฏูŠุฉ ูŠุนู†ูŠ ุฑุจู…ุง ุงู„ุจูŠุงู†ุงุช ุงู„ุชูŠ ู„ุฏูŠู†ุง ู„ูŠุณุช
20
+
21
+ 6
22
+ 00:00:45,050 --> 00:00:50,650
23
+ ุนุงุฏูŠุฉ ุฃูˆ ู†ูู‚ุฑุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชู…ุฑุฉ ุฃูˆ
24
+
25
+ 7
26
+ 00:00:50,650 --> 00:00:55,510
27
+ ู„ุงุŒ ูŠูˆุฌุฏ ุจุนุถ ุงู„ู‚ูˆุงุนุฏ ู„ุชู‚ุฑุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช
28
+
29
+ 8
30
+ 00:00:55,510 --> 00:01:03,230
31
+ ู…ุณุชู…ุฑุฉ ุฃูˆ ู…ูุณุชู…ุฑุฉ ุชู‚ุฑูŠุจู‹ุงุŒ ู†ุนุฑู ุฃู† ุงู„ู…ุณุชู…ุฑ
32
+
33
+ 9
34
+ 00:01:03,230 --> 00:01:06,650
35
+ ุงู„ู…ุณุชู…ุฑ ูŠุจุฏูˆ ู…ุซู„ ุจูŠู„ ุดูŠุจุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู…ุชุณุงูˆูŠ ุญูˆู„
36
+
37
+ 10
38
+ 00:01:06,650 --> 00:01:11,830
39
+ ุงู„ูˆุณุท ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฌู…ูŠุน ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุฑูƒุฒูŠุฉ
40
+
41
+ 11
42
+ 00:01:11,830 --> 00:01:15,890
43
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู…ุชุณุงูˆูŠุฉ
44
+
45
+ 12
46
+ 00:01:15,890 --> 00:01:17,090
47
+ ู…ุชุณุงูˆูŠุฉ
48
+
49
+ 13
50
+ 00:01:17,090 --> 00:01:17,230
51
+ ู…ุชุณุงูˆูŠุฉ
52
+
53
+ 14
54
+ 00:01:17,230 --> 00:01:20,220
55
+ ู…ุชุณุงูˆูŠุฉ ู…ุซู„ ุงู„ุชู†ู…ูŠุฉ ุงู„ุทุจูŠุนูŠุฉุŒ
56
+
57
+ 15
58
+ 00:01:20,220 --> 00:01:28,500
59
+ ูŠู…ูƒู†ู†ุง ุชุทุจูŠู‚ ุงู„ู‚ูˆุงุนุฏ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชูŠ ู‡ูŠ 68%ุŒ 95%ุŒ ูˆ99.7%
60
+
61
+ 16
62
+ 00:01:28,500 --> 00:01:31,620
63
+ ูˆุฃูŠุถู‹ุง
64
+
65
+ 17
66
+ 00:01:31,620 --> 00:01:32,980
67
+ ุนู…ู„ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
68
+
69
+ 18
70
+ 00:01:32,980 --> 00:01:36,280
71
+
72
+
73
+ 19
74
+ 00:01:36,280 --> 00:01:36,680
75
+
76
+
77
+ 20
78
+ 00:01:36,680 --> 00:01:38,340
79
+
80
+
81
+ 21
82
+ 00:01:38,340 --> 00:01:40,640
83
+
84
+
85
+ 22
86
+ 00:01:40,640 --> 00:01:43,840
87
+
88
+
89
+ 23
90
+ 00:01:44,830 --> 00:01:55,850
91
+ ูˆู‡ูˆ Q3-Q1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† 1.33 ุณูŠุฌู…ุงุŒ ุฅุฐุง IQR ูŠู‚ู„ ุนู† 1.33
92
+
93
+ 24
94
+ 00:01:55,850 --> 00:02:01,170
95
+ ุณูŠุฌู…ุง ููŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุงุช ู…ุณุชู…ุฑุฉ ุจุดูƒู„ ุนุงู…
96
+
97
+ 25
98
+ 00:02:01,170 --> 00:02:07,750
99
+ ูู‡ูˆ ูƒูŠู ู†ุณุชุนู…ู„ ุงู„ุชุนุงู…ู„ ุจุดูƒู„ ุนุงู…
100
+
101
+ 26
102
+ 00:02:15,250 --> 00:02:20,690
103
+ ุจุงู„ุฅุถุงูุฉุŒ ู†ุณุชุทูŠุน ุฃู† ู†ุตู†ุน ุฑู‚ู…ูŠู† ู„ุฏูŠู†ุง ููŠ ุงู„ูˆุงู‚ุน
104
+
105
+ 27
106
+ 00:02:20,690 --> 00:02:25,510
107
+
108
+
109
+ 28
110
+ 00:02:25,510 --> 00:02:26,290
111
+
112
+
113
+ 29
114
+ 00:02:26,290 --> 00:02:30,090
115
+
116
+
117
+ 30
118
+ 00:02:30,090 --> 00:02:30,270
119
+
120
+
121
+ 31
122
+ 00:02:30,270 --> 00:02:30,510
123
+
124
+
125
+ 32
126
+ 00:02:30,510 --> 00:02:36,030
127
+
128
+
129
+ 33
130
+ 00:02:36,030 --> 00:02:40,670
131
+
132
+
133
+ 34
134
+ 00:02:43,350 --> 00:02:47,610
135
+ ู†ุญู† ู†ุชูƒู„ู… ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ุจุงูƒุณ ุจู„ูˆุชุŒ ูู†ุฑูƒุฒ ุนู„ู‰
136
+
137
+ 35
138
+ 00:02:47,610 --> 00:02:52,490
139
+ ุจุงูƒุณ ุจู„ูˆุช ู„ุชุญู‚ู‚ ุงู„ุชู…ุงุซู„ุŒ ู„ุฐู„ูƒุŒ ู„ุฌู‡ุฉ ุตุบูŠุฑุฉ ูˆู…ุฏุฑุฌุฉ
140
+
141
+ 36
142
+ 00:02:52,490 --> 00:02:56,730
143
+ ู…ู† ุงู„ุจูŠุงู†ุงุช ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… ุจุงูƒุณ ุจู„ูˆุช ูˆู†ุนุฑู ุฃู† ุฅุฐุง
144
+
145
+ 37
146
+ 00:02:56,730 --> 00:03:02,610
147
+ ูƒุงู†ุช ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุตุทู„ุญ ูˆุงู„ุฃุตุบุฑ ู‡ูŠ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู†
148
+
149
+ 38
150
+ 00:03:02,610 --> 00:03:06,830
151
+ ุงู„ู…ุตุทู„ุญ ูˆุงู„ุฃูƒุจุฑุŒ ูู†ุณุชุทูŠุน ุฃู† ู†ู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุงุช ุนุงู…ุฉ
152
+
153
+ 39
154
+ 00:03:06,830 --> 00:03:10,790
155
+ ูˆู…ุชุดุงุจู‡ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฐู„ูƒุŒ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุขุฎุฑ ุฅุฐุง
156
+
157
+ 40
158
+ 00:03:10,790 --> 00:03:12,470
159
+ ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ูƒุงููŠุฉ
160
+
161
+ 41
162
+ 00:03:14,670 --> 00:03:19,250
163
+ ุจุนุฏ ุฐู„ูƒ ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุงู„ู‡ุณุชุฌุฑุงู…ุŒ ุฅุฐุง ูƒุงู† ุงู„ู‡ุณุชุฌุฑุงู…
164
+
165
+ 42
166
+ 00:03:19,250 --> 00:03:22,070
167
+ ูŠุจุฏูˆ ู…ุซู„ ุจูŠู„ ุดูŠุจุŒ ููŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฃู† ุงู„ุจูŠุงู†ุงุช ุนุงู…ุฉ
168
+
169
+ 43
170
+ 00:03:22,070 --> 00:03:26,310
171
+ ู…ูุชูˆุงุตู„ุฉุŒ ุจุงู„ู†ุณุจุฉ ู„ู†ุงุŒ ุจุฅุถุงูุฉ ุฃู†ู†ุง ู†ุณุชุฎุฏู… ุจุนุถ
172
+
173
+ 44
174
+ 00:03:26,310 --> 00:03:33,390
175
+ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุชุตุฑูŠุญูŠุฉ ู…ุซู„ ู…ูŠู†ุŒ ู…ูŠุฏูŠุง ูˆู…ูˆุฏุŒ ูŠุฌุจ ุฃู†
176
+
177
+ 45
178
+ 00:03:33,390 --> 00:03:38,670
179
+ ุชูƒูˆู† ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุชุดุงุจู‡ุฉ ู…ุน ู‚ูŠู… ู…ุชุดุงุจู‡ุฉ ูƒู…ุง
180
+
181
+ 46
182
+ 00:03:38,670 --> 00:03:45,160
183
+ ุฐูƒุฑู†ุง ุฃูŠุถู‹ุงุŒ ุฃุชุณุงุกู„ ู†ูุณูƒ ู‡ู„ IQR ุชู‚ุฑูŠุจู‹ุง 1.33 ุณูŠุฌู…ุงุŸ
184
+
185
+ 47
186
+ 00:03:45,160 --> 00:03:53,660
187
+ ู†ุญู† ุฃูŠุถู‹ุง ู„ุฏูŠู†ุง ุงู„ู†ุทุงู‚ ุงู„ู„ูŠ ู‡ูˆ ุฃูƒุจุฑ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุฃู‚ู„
188
+
189
+ 48
190
+ 00:03:53,660 --> 00:03:59,560
191
+ ู…ู† ุฃู‚ู„ุŒ ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ูุชุฑุฉ ุฃู‚ู„ ู…ู† 6 ุณูŠุฌู…ุงุŒ ูู‡ู†ุงูƒ
192
+
193
+ 49
194
+ 00:03:59,560 --> 00:04:02,340
195
+ ุฃูŠุถู‹ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠุŒ ู„ุฐู„ูƒ ู„ุฏูŠู†ุง ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู‚ูˆุงู†ูŠู†
196
+
197
+ 50
198
+ 00:04:02,340 --> 00:04:08,100
199
+ ู„ุชุญู‚ู‚ ุฃูˆ ู„ุชุญู‚ู‚ ุทุจูŠุนูŠ ู„ู…ุฌู…ูˆุนุฉ ุจูŠุงู†ุงุช ุฃุณุงุณูŠุฉ
200
+
201
+ 51
202
+ 00:04:11,060 --> 00:04:13,700
203
+ ุจุฅู…ูƒุงู†ู†ุง ุฃูŠุถู‹ุง ุฃู† ู†ุณุชุฎุฏู… ุงู„ู‚ูˆุงุนุฏ ุงู„ุงู†ุจุนุงุซูŠุฉ ุฅุฐุง
204
+
205
+ 52
206
+ 00:04:13,700 --> 00:04:18,220
207
+ ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชู…ุฑุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฐู„ูƒ ุชู‚ุฑูŠุจู‹ุง
208
+
209
+ 53
210
+ 00:04:18,220 --> 00:04:24,240
211
+ ุชู‚ุฑูŠุจู‹ุง 68%
212
+
213
+ 54
214
+ 00:04:32,190 --> 00:04:37,010
215
+ ุงู„ู‚ูŠู… ุฃูˆ ู‚ูŠู… ุงู„ุจูŠุงู†ุงุช ุฃูˆ ุงู„ู…ู„ุงุญุธุงุช ู…ูˆุฌูˆุฏุฉ ููŠ ูˆุงุญุฏ
216
+
217
+ 55
218
+ 00:04:37,010 --> 00:04:40,570
219
+ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ู…ู† ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ุฃูˆ ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ
220
+
221
+ 56
222
+ 00:04:40,570 --> 00:04:48,790
223
+ ู…ู† ุงู„ู…ุฌุชู…ุนุŒ ู„ุฐู„ูƒ ู†ุนุฑู 68% ูˆู†ุนุฑู 95% ู…ู†
224
+
225
+ 57
226
+ 00:04:48,790 --> 00:04:54,270
227
+ ุงู„ู…ู„ุงุญุธุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 2 ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ู…ู† ุงู„ู…ุฌุชู…ุน
228
+
229
+ 58
230
+ 00:04:56,000 --> 00:05:00,320
231
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุฃุฎูŠุฑุฉ ู„ุชุญูƒูŠ
232
+
233
+ 59
234
+ 00:05:00,320 --> 00:05:03,000
235
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชู‚ูŠู…ุฉ ุจุดูƒู„ ุนุงุฏู„ุŒ ูŠู…ูƒู†ู†ุง ุชุญู‚ูŠู‚
236
+
237
+ 60
238
+ 00:05:03,000 --> 00:05:06,700
239
+ ุดูŠุก ูŠุณู…ู‰ Normal Probability PlotุŒ ู„ุฐู„ูƒ ุณุฃุนุทูŠูƒู… ุงู„ู€
240
+
241
+ 61
242
+ 00:05:06,700 --> 00:05:10,320
243
+ PlotุŒ ุจู…ุดุงู‡ุฏุฉ ุงู„ู€ Plot ูŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฅู† ุงู„ู…ุนู„ูˆู…ุงุช
244
+
245
+ 62
246
+ 00:05:10,320 --> 00:05:12,380
247
+ ุจุดูƒู„ ุนุงุฏูŠ ุจุดูƒู„ ุนุงุฏู„ุŒ ู‚ุงุนุฏุฉ ุงู„ู€ Rule of Thumb
248
+
249
+ 63
250
+ 00:05:12,380 --> 00:05:16,900
251
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ู„ูŠ ุจู†ุดุชุบู„ ุนู„ูŠู‡ุงุŒ ู‡ู„ ุงู„ู€ Probability Plot
252
+
253
+ 64
254
+ 00:05:16,900 --> 00:05:21,020
255
+ ุนุงุฏู„ ุจุดูƒู„ ุนุงุฏู„ุŸ ุฅุฐุง ุงู„ุฑุณู… ุงู„ู„ูŠ ุฃุนุทูŠูƒูŠุงู‡ ุดูƒู„ ุฎุท
256
+
257
+ 65
258
+ 00:05:21,020 --> 00:05:23,500
259
+ ู…ุณุชู‚ูŠู…ุŒ ุซู…
260
+
261
+ 66
262
+ 00:05:25,030 --> 00:05:28,810
263
+ ุจุฅู…ูƒุงู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุงุช ู…ุณุชู…ุฑุฉ ุจุดูƒู„ ุนุงู… ูˆูŠุฌุจ
264
+
265
+ 67
266
+ 00:05:28,810 --> 00:05:34,190
267
+ ุฃู† ุชูƒูˆู† ุงู„ุฎุทูˆุท ู…ุณุชู…ุฑุฉ ุจุฎุทูˆุท ู…ููŠุฏุฉุŒ ูู‡ุฐุง ุงู„ู€
268
+
269
+ 68
270
+ 00:05:34,190 --> 00:05:38,070
271
+ probability plotุŒ ุนุงู…ุŒ ุณุฃุนุทูŠูƒ ุงู„ู€ plot ุซู… ูู‚ุท ุงู†ุธุฑ
272
+
273
+ 69
274
+ 00:05:38,070 --> 00:05:41,250
275
+ ุฅู„ู‰ ุงู„ุจูŠุงู†ุงุชุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู†ู‚ุทุฉ ุชุชุฌู‡ ุฅู„ู‰ ุฎุทูˆุท ู…ุณุชู…ุฑุฉ
276
+
277
+ 70
278
+ 00:05:41,250 --> 00:05:49,670
279
+ ุจุฎุทูˆุท ู…ููŠุฏุฉุŒ ูŠุนู†ูŠ ุฃู† ุงู„ุฎุทูˆุท ุชุชุฌู‡ ู…ู†
280
+
281
+ 71
282
+ 00:05:49,670 --> 00:05:53,270
283
+ ุงู„ุฃุณูู„ ุฅู„ู‰ ุงู„ุฃุนู„ู‰ ููŠ ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุฉุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง
284
+
285
+ 72
286
+ 00:05:53,270 --> 00:05:58,250
287
+ ู„ุฏูŠู†ุง ู…ูŠู„ ู…ูˆุฌุจุŒ ุชุนุฑู ู‡ุฐุง ู…ูŠู„ ู…ูˆุฌุจ ู…ุด ู‡ูŠูƒ
288
+
289
+ 73
290
+ 00:05:58,250 --> 00:06:03,690
291
+ ู‡ุฐุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู…ูŠู„ ู…ูˆุฌุจุŒ ู„ุฏูŠู‡ ู…ูŠู„ ู…ูˆุฌุจุŒ ุฅุฐุง
292
+
293
+ 74
294
+ 00:06:03,690 --> 00:06:05,810
295
+ ูƒุงู†ุช ุงู„ุจุฑูˆุจูŠู„ุชูŠ ุจู„ุงุช ุนุงุฏูŠุฉุŒ ุชุจุฏูˆ ู…ุซู„ ู‡ุฐู‡ ุงู„ู„ุญุธุฉ
296
+
297
+ 75
298
+ 00:06:05,810 --> 00:06:10,410
299
+ ุงู„ุตุญูŠุญุฉุŒ ุฃุนู†ูŠ ุฃู† ู†ู‚ุงุท ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุฅู…ุง ููŠ ุงู„ู„ุญุธุฉ ุฃูˆ
300
+
301
+ 76
302
+ 00:06:10,410 --> 00:06:13,850
303
+ ู‚ุฑูŠุจ ุฌุฏู‹ุง ู…ู† ุงู„ู„ุญุธุฉุŒ ุซู… ุจุฅู…ูƒุงู†ูƒ ุฃู† ุชู‚ูˆู„ ุฃู† ุงู„ุจูŠุงู†ุงุช
304
+
305
+ 77
306
+ 00:06:13,850 --> 00:06:18,400
307
+ ุนุงุฏูŠุฉุŒ ู…ุณุชู…ุฑุฉุŒ ู„ุฏูŠู†ุง ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ู‚ูˆุงู†ูŠู† in order to
308
+
309
+ 78
310
+ 00:06:18,400 --> 00:06:21,060
311
+ determine if the data is normally distributed or
312
+
313
+ 79
314
+ 00:06:21,060 --> 00:06:26,980
315
+ notุŒ ุฅุฐุง ุงู„ู…ู„ุฎุต ุงู„ุขู†ุŒ ููŠ ุนู†ุฏูŠ ุนุฏุฉ ู‚ูˆุงุนุฏ ู„ู„ุญูƒู… ุฅู† ุงู„
316
+
317
+ 80
318
+ 00:06:26,980 --> 00:06:31,660
319
+ data is normal ู…ู†ู‡ุง ุดูŠุก ุฑุณู… ูˆุดูŠุก ุญุณุงุจุงุชุŒ ุงู„ุญุณุงุจุงุช
320
+
321
+ 81
322
+ 00:06:31,660 --> 00:06:35,660
323
+ ุณู‡ู„ุฉุŒ ุฃู† IQR ุจูŠุณุงูˆูŠ 1.33 ุณูŠุฌู…ุง ูˆุงู„ Range 6
324
+
325
+ 82
326
+ 00:06:35,660 --> 00:06:39,080
327
+ ุณูŠุฌู…ุงุŒ ูˆุงู„ Mean ูˆุงู„ Median ูˆุงู„ Mode ู…ุงู„ู‡ู… ุญูˆู„ูŠู†
328
+
329
+ 83
330
+ 00:06:39,080 --> 00:06:41,640
331
+ ุจุนุถุŒ ู‡ุฏูˆู„ ุงู„ Measures
332
+
333
+ 84
334
+ 00:06:46,560 --> 00:06:54,960
335
+ ุงู„ู…ู‡ู… ู‡ูˆ 68%ุŒ 95%ุŒ ูˆ99.7%ุŒ ุชู†ุณู‰ ุญูˆุงู„ูŠ 80% ูŠู‚ูˆู„ ุฃู† 80%
336
+
337
+ 85
338
+ 00:06:54,960 --> 00:06:59,260
339
+ ู…ู† ุงู„ุจูŠุงู†ุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 1.28 ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ู…ู† ุงู„ูˆุณุท
340
+
341
+ 86
342
+ 00:06:59,260 --> 00:07:09,580
343
+ ูู‚ุท ู†ุฑูƒุฒ ุนู„ู‰ 68%ุŒ 95%ุŒ ูˆ99.7% ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ
344
+
345
+ 87
346
+ 00:07:09,580 --> 00:07:12,520
347
+ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ
348
+
349
+ 88
350
+ 00:07:12,520 --> 00:07:12,540
351
+ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ
352
+
353
+ 89
354
+ 00:07:12,540 --> 00:07:12,900
355
+ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ
356
+
357
+ 90
358
+ 00:07:12,900 --> 00:07:15,100
359
+ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ ู„ู„ุฎุทูˆุท ุงู„ุตุบูŠุฑุฉ ูˆุงู„ุตุบูŠุฑุฉุŒ ูŠู…ูƒู†ู†ุง
360
+
361
+ 91
362
+ 00:07:15,100 --> 00:07:19,220
363
+ ุงุณุชุฎุฏุงู… ุจุงูƒุณ ุจู„ุงุชุŒ ู„ุจูŠุงู†ุงุช ูƒุจูŠุฑุฉ ู†ุณุชุฎุฏู… ุงู„ู‡ุณุชุฌุฑุงู…
364
+
365
+ 92
366
+ 00:07:19,220 --> 00:07:22,240
367
+ ุจุงู„ุฅุถุงูุฉุŒ ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุดูŠุก ูŠุณู…ู‰ ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ
368
+
369
+ 93
370
+ 00:07:22,240 --> 00:07:25,100
371
+ ุงุณุชุฎุฏุงู… ุงู„ู‡ุณุชุฌุฑุงู…ุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชุณู‚ุท ุนู„ู‰ ุญุงู„ุฉ
372
+
373
+ 94
374
+ 00:07:25,100 --> 00:07:30,360
375
+ ุฃุณู„ูˆุจ ู…ุน ูƒู„ุง ุงู„ู‡ุณุชุฌุฑุงู…ุŒ ู†ุณุชุฎุฏู… ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ
376
+
377
+ 95
378
+ 00:07:30,360 --> 00:07:33,900
379
+ ุงุณุชุฎุฏุงู… ุงู„ู‡ุณุชุฌุฑุงู…ุŒ ู‡ุฐุง ูƒู„ ุดูŠุก ู„ูƒูŠููŠุฉ ุงุณุชุฎุฏุงู… ุนุงุฏูŠุฉ
380
+
381
+ 96
382
+ 00:07:33,900 --> 00:07:34,860
383
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช
384
+
385
+ 97
386
+ 00:07:34,860 --> 00:07:38,960
387
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช
388
+
389
+ 98
390
+ 00:07:38,960 --> 00:07:43,370
391
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจ Normal
392
+
393
+ 99
394
+ 00:07:43,370 --> 00:07:48,450
395
+ probability plot looks like linear ู…ุธุจูˆุท ุงู„ุดูƒู„
396
+
397
+ 100
398
+ 00:07:48,450 --> 00:07:53,370
399
+ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจู‹ุง ุฎุท ู…ุณุชู‚ูŠู… ุนู„ู‰ ุงู„ู€ Points ุนู„ู‰ ุงู„ุฎุท
400
+
401
+ 101
402
+ 00:07:53,370 --> 00:07:58,330
403
+ ุจุนุฏูŠู† ุจูŠูƒูˆู† ููŠ ุงู„ู€ Slope ู…ุนู†ุงู‡ ูƒุฏู‡ is normal ุฅุฐุง ุงู„ู€
404
+
405
+ 102
406
+ 00:07:58,330 --> 00:08:02,510
407
+ normal probability plot ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ุจูŠุงู†ุงุช ู…ู†
408
+
409
+ 103
410
+ 00:08:02,510 --> 00:08:07,730
411
+ ุงู„ุชูˆุฒูŠุน ุงู„ุนุงุฏูŠ ุณุชูƒูˆู† ุชู‚ุฑูŠุจู‹ุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู„ูŠุณ ุชู‚ุฑูŠุจู‹ุง ุฎุท
412
+
413
+ 104
414
+ 00:08:07,730 --> 00:08:12,170
415
+ ู…ุณุชู‚ูŠู…ุŒ ู„ูƒู† ุชู‚ุฑูŠุจู‹ุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ูˆุงุถุญุŸ ู…ุด ุจุฏูˆุฑู‡ุง ุฎุท
416
+
417
+ 105
418
+ 00:08:12,170 --> 00:08:15,630
419
+ ุจุงู„ุถุจุท ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู„ูƒู† ู‡ุฐุง ู…ุนู†ุงู‡ ุฃู† ุงู„ู€ Points ู…ู…ูƒู†
420
+
421
+ 106
422
+ 00:08:15,630 --> 00:08:20,090
423
+ ุชูƒูˆู† ุนู„ู‰ ุงู„ู€ Line ู…ู…ูƒู† ุดูˆูŠุฉ ุฃุนู„ู‰ุŒ ุจุณ ุงู„ู€ Deviation
424
+
425
+ 107
426
+ 00:08:20,090 --> 00:08:24,870
427
+ from the point to the straight line is small ูŠุนู†ูŠ
428
+
429
+ 108
430
+ 00:08:24,870 --> 00:08:28,370
431
+ ุงู„ุงู†ุญุฑุงู ุนู† ุงู„ุฎุท ุงู„ู…ุณุชู‚ูŠู… ุจูŠู† ุงู„ู€ Data ูˆุงู„ุฎุท ุจูŠูƒูˆู† ู…ุงู„ู‡
432
+
433
+ 109
434
+ 00:08:28,370 --> 00:08:32,030
435
+ ุตุบูŠุฑุŒ ู…ุง ูƒุฏู‡ ุงู„ู€ Data is normally distributed, now if
436
+
437
+ 110
438
+ 00:08:32,030 --> 00:08:37,070
439
+ you look at these three graphs now, none of them
440
+
441
+ 111
442
+ 00:08:37,070 --> 00:08:42,550
443
+ has a straight line, one of them left skewed
444
+
445
+ 112
446
+ 00:08:42,550 --> 00:08:46,370
447
+ because the left tail is longer here, so the left
448
+
449
+ 113
450
+ 00:08:46,370 --> 00:08:50,770
451
+ one is called left skewed, the other graph also is
452
+
453
+ 114
454
+ 00:08:50,770 --> 00:08:56,050
455
+ not linear ูˆุงู„ุฐูŠู„ ุงู„ุฃูŠุณุฑ ุฃูƒุซุฑ ู…ู† ุงู„ุฐูŠู„ ุงู„ุฃูŠู…ู†ุŒ ู„ุฐู„ูƒ
456
+
457
+ 115
458
+ 00:08:56,050 --> 00:09:02,990
459
+ ูŠุชุฌู‡ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุฃูŠุณุฑุŒ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง ุจูŠู„ ุดูŠุจุŒ ู‡ุฐุง
460
+
461
+ 116
462
+ 00:09:02,990 --> 00:09:07,410
463
+ ูŠุนู†ูŠ ุชูˆุฒูŠุน ุนุงุฏูŠุŒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุชูˆุฒูŠุน ุนุงุฏูŠุŒ ูุฅุฐุง
464
+
465
+ 117
466
+ 00:09:07,410 --> 00:09:11,110
467
+ ุงู„ุจูŠุงู†ุงุช ู„ู„ุชูˆุฒูŠุน ู„ุชูˆุฒูŠุน ุนุงุฏูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ุชูˆุฒูŠุนุงุช
468
+
469
+ 118
470
+ 00:09:11,110 --> 00:09:14,270
471
+ ุงู„ุตุญูŠุญุฉ ู…ุน ู…ุฌู…ูˆุนุฉ ุจูˆุฒูˆุฒุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง
472
+
473
+ 119
474
+ 00:09:14,270 --> 00:09:17,910
475
+ ุชูˆุฒูŠุน ุนุงุฏูŠ ููŠ ุงู„ุซุงู†ูŠุฉ ุงู„ููŠุฏูŠูˆู‡ุงุช ุงู„ุฃุฎุฑู‰
476
+
477
+ 120
478
+ 00:09:17,910 --> 00:09:21,670
479
+ ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุฅู…ุง ุชูˆุฒูŠุน ุฃูŠุณุฑ ุฃูˆ ุชูˆุฒูŠุน ุฃูŠู…ู†
480
+
481
+ 121
482
+ 00:09:24,120 --> 00:09:28,900
483
+ ุงู„ุฃุฎูŠุฑ ูŠุดุจู‡ ุดูŠุก ูŠุณู…ู‰ S-curveุŒ S-curve ู„ูŠุณ ู„ูŠู†ูŠุงุฑุŒ
484
+
485
+ 122
486
+ 00:09:28,900 --> 00:09:34,840
487
+ ุดูƒู„ ุญุฑู ุงู„ู€ S ูŠุณู…ู‰ ู…ุณุชุทูŠู„ุŒ ู„ูŠุณ ู„ูŠู†ูŠุงุฑุŒ ู„ุฐู„ูƒ
488
+
489
+ 123
490
+ 00:09:34,840 --> 00:09:38,760
491
+ ูŠุดุจู‡ ุชู†ู‚ู„ ู…ู† ุงู„ุทุจูŠุนุฉ ุฅุฐุง ูƒุงู† ุงู„ุฃุณุงุณ ูŠูƒูˆู† ุฎุท ู…ุณุชู‚ูŠู…ุŒ
492
+
493
+ 124
494
+ 00:09:38,760 --> 00:09:44,420
495
+ ุฃุณุงุณ ูŠูƒูˆู† ุทุจูŠุนุฉุŒ ู„ุงุฒู… ูŠูƒูˆู† ุฎุท ู…ุณุชู‚ูŠู… ุฒูŠ ู‡ูŠูƒ ุฃูˆ ู‚ุฑูŠุจ
496
+
497
+ 125
498
+ 00:09:44,420 --> 00:09:50,580
499
+ ู…ู† ุฎุท ู…ุณุชู‚ูŠู…ุŒ ุฃูŠ ุดูƒู„ ุซุงู†ูŠ ู…ุนู†ุงู‡ ุฅูŠุดุŸ ุบูŠุฑ ู„ูŠู†ูŠุงุฑุŒ ุจุณ
500
+
501
+ 126
502
+ 00:09:50,580 --> 00:09:53,220
503
+ ู„ุฃุŒ ุฅุฐุง ูƒุงู† ุบูŠุฑ ู„ูŠู†ูŠุงุฑ ูŠุฌุจ ุฃู† ู†ุนุฑู ุฅุฐุง ูƒุงู† ู„ูุช ุฃูˆ
504
+
505
+ 127
506
+ 00:09:53,220 --> 00:09:58,460
507
+ ุฑุงูŠุช ุณูƒูˆุฏุŒ ู„ูุช ูŠุนู†ูŠ ุฃู† ุงู„ู€ left tail is longer than
508
+
509
+ 128
510
+ 00:09:58,460 --> 00:10:02,540
511
+ the right tailุŒ and for right skewedุŒ right tail is
512
+
513
+ 129
514
+ 00:10:02,540 --> 00:10:06,300
515
+ longer than the left tail. So that's all for
516
+
517
+ 130
518
+ 00:10:06,300 --> 00:10:10,040
519
+ evaluating normality. I will give a specific
520
+
521
+ 131
522
+ 00:10:10,040 --> 00:10:12,960
523
+ example in order to determine if the data is
524
+
525
+ 132
526
+ 00:10:12,960 --> 00:10:20,200
527
+ normal or not by using these rules. ุงู„ุขู†ุŒ ุฅุฐุง ูƒุงู†
528
+
529
+ 133
530
+ 00:10:20,200 --> 00:10:23,620
531
+ ูˆุงุญุฏ ู…ู† ู‡ุฐู‡ ุงู„ู‚ูˆุงุนุฏ ู…ุฎุงู„ูุฉุŒ ูุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ู…ุณุชู…ุฑุฉ
532
+
533
+ 134
534
+ 00:10:23,620 --> 00:10:26,620
535
+ ุจุดูƒู„ ุนุงู…ุŒ ูŠุนู†ูŠ ู„ูˆ ูˆุงุญุฏ ู…ู† ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ู…ุด
536
+
537
+ 135
538
+ 00:10:26,620 --> 00:10:30,700
539
+ ู…ุชุญู‚ู‚ุŒ ู…ุน ูƒุฏู‡ ุงู„ุจูŠุงู†ุงุช ู…ุด ุนุงู…ุฉุŒ ูŠุนู†ูŠ ู…ุง ููŠุด ุฏุงุนูŠ
540
+
541
+ 136
542
+ 00:10:30,700 --> 00:10:35,020
543
+ ูŠุญุณุจ ูƒู„ ู‡ุฏูˆู„ ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ู…ุŒ ูˆุงุญุฏุฉ ู…ู†ู‡ู… is enough
544
+
545
+ 137
546
+ 00:10:35,020 --> 00:10:38,100
547
+ in order to determine if the data is normalุŒ ูˆุงุถุญุŸ
548
+
549
+ 138
550
+ 00:10:38,100 --> 00:10:42,440
551
+ ูŠุนู†ูŠ ู…ุด ุดุฑุท ุฃุนู…ู„ู‡ู… ูƒู„ู‡ู… ูƒุงุฎุชุจุงุฑุŒ ุจุนู…ู„ ุงุฎุชุจุงุฑ ู„ูˆุงุญุฏุฉ
552
+
553
+ 139
554
+ 00:10:42,440 --> 00:10:45,560
555
+ ู…ู†ู‡ู… ูˆุชูƒููŠุŒ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ Data ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆุนู…ู„ุชูŠ
556
+
557
+ 140
558
+ 00:10:45,560 --> 00:10:49,600
559
+ BoxplotุŒ Boxplot is enough to determine if the data
560
+
561
+ 141
562
+ 00:10:49,600 --> 00:10:53,720
563
+ is normal or notุŒ ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ Data ุนู†ุฏู†ุง
564
+
565
+ 142
566
+ 00:10:53,720 --> 00:10:57,520
567
+ MinimumุŒ VolumeุŒ First QuartileุŒ MedianุŒ Third
568
+
569
+ 143
570
+ 00:10:57,520 --> 00:11:03,480
571
+ QuartileุŒ and Maximum ูˆุจุนุฏูŠู† ุจุฑุณู…ุŒ ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ุฑุณู…
572
+
573
+ 144
574
+ 00:11:03,480 --> 00:11:08,200
575
+ ุงู„ุฑุณู…ุŒ ุงู„ู€ BoxplotุŒ ูŠุณุฑุนุŒ ูŠุนู…ู„ ุงู„ู€ Boxplot ู„ุฃู† ุงู„ู€
576
+
577
+ 145
578
+ 00:11:08,200 --> 00:11:11,480
579
+ BoxplotุŒ ูƒู„ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชูŠ ุชุญุชุงุฌู‡ุง.. ุฃุนู†ูŠ
580
+
581
+ 146
582
+ 00:11:11,480 --> 00:11:14,500
583
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู…ุญุชุงุฌุฉ ุชู… ุฅุนุทุงุฆู‡ุง ู„ู†ุงุŒ ู„ุฏูŠู†ุง MinimumุŒ
584
+
585
+ 147
586
+ 00:11:14,780 --> 00:11:19,040
587
+ Q1ุŒ MedianุŒ Q3ุŒ ูˆ MaximumุŒ ุซู… ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰ ุงู„ูุฑู‚
588
+
589
+ 148
590
+ 00:11:19,040 --> 00:11:23,640
591
+ ุจูŠู†ู‡ู… ูƒู…ุง ุฐูƒุฑู†ุง ู…ู† ู‚ุจู„ุŒ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ.. ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰
592
+
593
+ 149
594
+ 00:11:23,640 --> 00:11:31,900
595
+ ุงู„ู€ Median ูˆู…ุนุธู… ุงู„ู€ Median ูˆู…ุนุธู…ุŒ ูˆุงุถุญ ุฌุฏู‹ุง ุฃู† ุงู„ู€ Right
596
+
597
+ 150
598
+ 00:11:31,900 --> 00:11:36,880
599
+ Tail ุฃูƒุซุฑ ู…ู† ุงู„ู€ Left TailุŒ ู„ุฐู„ูƒ ูŠุนู†ูŠ ุฃู†ู‡ุง ู…ุฑุณูˆู…ุฉ
600
+
601
+ 151
602
+ 00:11:36,880 --> 00:11:37,940
603
+ ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ู„ุฐู„ูƒ ู„ูŠุณ ู…ุชู…ุงุซู„
604
+
605
+ 152
606
+ 00:11:37,940 --> 00:11:38,460
607
+
608
+
609
+ 153
610
+ 00:11:38,460 --> 00:11:40,760
611
+
612
+
613
+ 154
614
+ 00:11:40,760 --> 00:11:41,100
615
+
616
+
617
+ 155
618
+ 00:11:41,100 --> 00:11:54,400
619
+
620
+
621
+ 156
622
+ 00:11:54,720 --> 00:11:59,120
623
+ not normalุŒ this is correct answerุŒ if the answer is
624
+
625
+ 157
626
+ 00:11:59,120 --> 00:12:03,060
627
+ asymmetricุŒ this
628
+
629
+ 158
630
+ 00:12:03,060 --> 00:12:07,540
631
+ is good answerุŒ asymmetricุŒ it means.. asymmetric
632
+
633
+ 159
634
+ 00:12:07,540 --> 00:12:12,040
635
+ ู…ุนู†ุงู‡ ุบูŠุฑ ู…ุชู…ุงุซู„ุŒ ุจุชุจู‚ู‰ ูŠุง ู…ุง ุจุญูƒูŠ Asymmetric ุจุญุท
636
+
637
+ 160
638
+ 00:12:12,040 --> 00:12:16,660
639
+ ุงู„ูŠู…ูŠู†ุŒ ูŠุนู†ูŠ Asymmetric not normalุŒ ุฃูˆ ู…ู…ูƒู† ุฃุญูƒูŠ
640
+
641
+ 161
642
+ 00:12:16,660 --> 00:12:19,660
643
+ Right skewed
644
+
645
+ 162
646
+ 00:12:24,300 --> 00:12:28,900
647
+ ู‡ุฏูˆู„ ุงู„ุชู„ุงุชุฉ ุฏูŠ ุจุณ ุตุญุŒ ูŠุนู†ูŠ ุจุญูƒูŠ ู…ุด.. not norm..
648
+
649
+ 163
650
+ 00:12:28,900 --> 00:12:36,500
651
+ not symmetricุŒ ู‡ุฐู‡ Not SymmetricุŒ ู‡ุฏูˆู„
652
+
653
+ 164
654
+ 00:12:36,500 --> 00:12:39,820
655
+ ุงู„ุฃุฑุจุนุฉ ุตุญุŒ ูŠุนู†ูŠ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… is okayุŒ ูŠุนู†ูŠ ู„ูˆ ููŠ
656
+
657
+ 165
658
+ 00:12:39,820 --> 00:12:42,340
659
+ ู…ู†ู‡ู… ุงุซู†ุชูŠู† ู…ูˆุฌูˆุฏุฉ ูˆุงุซู†ุชูŠู† ุบู„ุทุŒ ุจุญูƒูŠ A ูˆ B ู‡ู… ุงู„ู€
660
+
661
+ 166
662
+ 00:12:42,340 --> 00:12:48,000
663
+ correct answerุŒ ูˆุงุถุญุŸ ู…ุฑุฉ ุซุงู†ูŠุฉุŒ ุงู„ู€ Symmetry ู…ุนู†ุงู‡ุง
664
+
665
+ 167
666
+ 00:12:48,000 --> 00:12:54,330
667
+ ุฅูŠุดุŸ ู…ุชู…ุงุซู„ุŒ ู„ู…ุง ุฃุญุทู„ู‡ุง ุงู„ู€ A ุจุชุตูŠุฑุŸ ุบูŠุฑ ู…ุชู…ุงุซู„ุŒ ุจุณ
668
+
669
+ 168
670
+ 00:12:54,330 --> 00:12:58,190
671
+ ู„ูŠู‡ ุดุงุจูƒุฉ ููŠู‡ุงุŸ ูŠุนู†ูŠ ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ู…ุด A SymmetryุŒ ุงู„ู€
672
+
673
+ 169
674
+ 00:12:58,190 --> 00:13:03,770
675
+ Symmetry ูƒู„ู…ุฉ ูˆุงุญุฏุฉุŒ ู„ู‚ูŠุชูŠู† ููŠู‡ุง ุฎู„ุงุตุŒ ูŠุนู†ูŠ ุงู„ู€
676
+
677
+ 170
678
+ 00:13:03,770 --> 00:13:09,370
679
+ Symmetry ู…ุนู†ุงู‡
680
+
681
+ 171
682
+ 00:13:09,370 --> 00:13:16,510
683
+ ุฅูŠุดุŸ ู…ุชู…ุงุซู„ุŒ ุงู„ู€ Symmetry ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ุฒูŠูƒุŒ ู…ุนู†ุงู‡
684
+
685
+ 172
686
+ 00:13:16,510 --> 00:13:21,330
687
+ ุบูŠุฑ ู…ุชู…ุงุซู„ ุฃูˆ Not SymmetricุŒ ู‡ุฐู‡ ู‡ูŠ ู…ุฌู„ุฉ Boxplot
688
+
689
+ 173
690
+ 00:13:21,330 --> 00:13:35,090
691
+ ุชุดูŠุฑ ุฅู„ู‰ ุฃู† ุงู„ู…ุนู„ู‚ุงุช ู…ุงุฆู„ุฉ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุตุญูŠุญุŒ ุฅุฐุง
692
+
693
+ 174
694
+ 00:13:35,090 --> 00:13:41,290
695
+ ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุชุŒ ุฏุนูˆู†ุง ู†ุฑู‰ ุฅุฐุง ูƒุงู†ุช
696
+
697
+ 175
698
+ 00:13:41,290 --> 00:13:42,490
699
+ ุงู„ู…ุนู„ู‚ุงุช ุนุงุฏูŠุฉ ุฃูˆ ู„ุง
700
+
701
+ 176
702
+ 00:13:46,550 --> 00:13:53,190
703
+ ุฅุฐุง ู†ุธุฑู†ุง ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ุŒ 21.84ุŒ 21.65ุŒ ูŠู‚ุงุฑู† ุจู…ุง
704
+
705
+ 177
706
+ 00:13:53,190 --> 00:13:57,650
707
+ ูŠู‚ุงุฑู†ุŒ ุชู‚ุฑูŠุจู‹ุง ุฒูŠ ุจุนุถุŒ ูู…ุด ู‚ุงุฏุฑ ูŠุญุฏุฏ ู„ุฃู† ุงู„ูุฑู‚ ุงู„ู„ูŠ
708
+
709
+ 178
710
+ 00:13:57,650 --> 00:14:02,850
711
+ ุจูŠู†ู‡ู… ู…ุด ูƒุจูŠุฑุŒ ูŠุนู†ูŠ ุญูˆุงู„ูŠ 19%ุŒ ุงู„ุงุฎุชู„ุงู ุจูŠู†
712
+
713
+ 179
714
+ 00:14:02,850 --> 00:14:07,650
715
+ ุงู„ูˆุณุท ูˆุงู„ู…ุชูˆุณุทุŒ ุงู„ุขู†ุŒ ุฅุฐุง ู†ุธุฑู†ุง ุฅู„ู‰ IQR ู„ู‡ุฐู‡
716
+
717
+ 180
718
+ 00:14:07,650 --> 00:14:12,500
719
+ ุงู„ุจูŠุงู†ุงุชุŒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ู€ IQRุŒ ุฅุฐุง ุฑู‚ู… ูˆุงุญุฏุŒ ุงู„ู€ Mean
720
+
721
+ 181
722
+ 00:14:12,500 --> 00:14:17,660
723
+ 21.84 ู‡ูˆ ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ ุงู„ู€ MedianุŒ ูˆู„ูƒู† ููŠ ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
724
+
725
+ 182
726
+ 00:14:17,660 --> 00:14:19,140
727
+ ุงู„ู€ Mean ูˆุงู„ู€ Median ู…ุฑุชุจุทูŠู† ููŠ ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
728
+
729
+ 183
730
+ 00:14:19,140 --> 00:14:22,400
731
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
732
+
733
+ 184
734
+ 0
735
+
736
+ 216
737
+ 00:17:45,030 --> 00:17:45,450
738
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
739
+
740
+ 217
741
+ 00:17:45,450 --> 00:17:57,550
742
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุช
743
+
744
+ 218
745
+ 00:17:59,750 --> 00:18:08,250
746
+ ู‡ุฐู‡ ุงู„ุตูุญุฉ ุชุธู‡ุฑ ุงู„ู€ IQR 6.98 ูˆูƒุชุงุจุฉ ุชู‚ุงุฑู† ู‡ุฐู‡
747
+
748
+ 219
749
+ 00:18:08,250 --> 00:18:17,870
750
+ ุงู„ู‚ูŠู…ุฉ ู…ุน ู‚ูŠู…ุฉ ุณูŠุฌู…ุง 6.98 ูƒู… ุณูŠุฌู…ุง ู…ูˆุฌูˆุฏ ู‡ู†ุง ูƒู…
751
+
752
+ 220
753
+ 00:18:17,870 --> 00:18:22,270
754
+ ุณูŠุฌู…ุง ููŠ ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ ูƒู… ุณูŠุฌู…ุง ููŠ ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ
755
+
756
+ 221
757
+ 00:18:25,470 --> 00:18:29,250
758
+ ู…ุธุจูˆุทุŸ ู…ุง ู‡ูˆ ู„ุงุฒู… ูŠุฌูŠุจ ูŠุทู„ุน ูƒุฏู‡ุŸ 1.33 ุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ
759
+
760
+ 222
761
+ 00:18:29,250 --> 00:18:32,350
762
+ ุจุตุฑุงุญุฉ ุทุฑูŠู‚ุฉ ุญุชู‰ straightforward ูŠุนู†ูŠ ุฃู†ุง ุนู…ู„ุชู‡
763
+
764
+ 223
765
+ 00:18:32,350 --> 00:18:38,630
766
+ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุทูˆู„ ุฃุฎุฏุช ุทู„ุนุช ุงู„ IQR ููŠ ุงู„ุฃูˆู„ ุจุนุฏูŠู†
767
+
768
+ 224
769
+ 00:18:38,630 --> 00:18:42,690
770
+ ุญุณุจุช ู…ูŠู† 1.33 ุณูŠุฌู…ุง ูˆุดูุช ุฅู†ู‡ู… ู…ุชุณุงูˆูŠ ุจุนุถ ูˆู„ุง ู„ุฃ
771
+
772
+ 225
773
+ 00:18:42,690 --> 00:18:47,010
774
+ ู‡ุฐุง ุฃุณู‡ู„ ุงู„ูƒุชุงุจ ุงู„ุดูŠุงู…ูŠ ุงู„ู„ูŠ ู…ุง ุนู…ู„ ุงู„ุดูŠูƒ ุดุงู ุงู„ 6
775
+
776
+ 226
777
+ 00:18:47,010 --> 00:18:55,930
778
+ .98 ุงู„ู„ูŠ ู‡ูŠ ุงู„ IQR ูƒู… ุณูŠุฌู…ุง ููŠู‡ุง ูƒูŠู ุทู„ุนู‡ุงุŸ ุทู„ุน 6
779
+
780
+ 227
781
+ 00:18:55,930 --> 00:19:03,190
782
+ .98 ู‚ุณู…ู‡ุง ุนู„ู‰ ู‚ูŠู…ุฉ ุงู„ู€ Sigma ู„ูˆ ุทู„ุนุช ูƒุฏู‡ ู‡ุชุทู„ุน
783
+
784
+ 228
785
+ 00:19:03,190 --> 00:19:09,770
786
+ ุงู„ุฌูˆุงุจ 1.09 ุงุญู†ุง ุนุงูŠุฒูŠู†ู‡ ู‚ุฏุงุดุŸ 1.33 ูˆุงุถุญ ู„ู„ุงู†ุชุจุงู‡
787
+
788
+ 229
789
+ 00:19:09,770 --> 00:19:15,390
790
+ ุฒูŠ ุจุนุถุŒ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ุจุณ ุงู„ู„ูŠ ุงู„ู„ูŠ ุญู„ูŠุชู‡ ู…ุดูŠุช
791
+
792
+ 230
793
+ 00:19:15,390 --> 00:19:22,170
794
+ straightforward ู…ุจุงุดุฑ ุญุณุจุช ุงู„ IQR ูˆุญุณุจุช ุงู„ 1.33
795
+
796
+ 231
797
+ 00:19:22,170 --> 00:19:28,020
798
+ Sigma ู…ุด ุดูˆูุช ู…ุด ุณูˆุงุก ุจุนุถ ูˆู„ุง ู„ุฃุŸ ู‡ุฐุง ุฃุณู‡ู„ ุจุงู„ู†ุณุจุฉ ู„ูƒ
799
+
800
+ 232
801
+ 00:19:28,020 --> 00:19:34,600
802
+ ุฎู„ุงุต ุทู„ุน ุงู„ุฑุณู…ุฉ ู„ู†ูุณ ุงู„ data ุทู„ุน ุงู„ุฑุณู…ุฉ ุงู„ู„ูŠ
803
+
804
+ 233
805
+ 00:19:34,600 --> 00:19:41,580
806
+ ู…ุณู…ูŠู‡ุง normality plot if
807
+
808
+ 234
809
+ 00:19:41,580 --> 00:19:45,520
810
+ you look carefully at the line at the data it's
811
+
812
+ 235
813
+ 00:19:45,520 --> 00:19:48,960
814
+ very clear that the data is not linear because we
815
+
816
+ 236
817
+ 00:19:48,960 --> 00:19:55,640
818
+ have curved data here ูˆุงุถุญุฉ ุดูƒู„ ู…ู†ุญู†ู‰ ูˆุชุญุช ูƒูŠูุŸ in
819
+
820
+ 237
821
+ 00:19:55,640 --> 00:20:00,760
822
+ between it looks like a straight line positive but
823
+
824
+ 238
825
+ 00:20:00,760 --> 00:20:07,440
826
+ at the ends of the line we have data above and
827
+
828
+ 239
829
+ 00:20:07,440 --> 00:20:11,400
830
+ data below so you can say that the data is not
831
+
832
+ 240
833
+ 00:20:11,400 --> 00:20:15,240
834
+ normally distributed so plot is not a straight
835
+
836
+ 241
837
+ 00:20:15,240 --> 00:20:19,360
838
+ line and shows the distribution skewed to the
839
+
840
+ 242
841
+ 00:20:19,360 --> 00:20:22,200
842
+ right side so the data is not symmetric
843
+
844
+ 243
845
+ 00:20:25,040 --> 00:20:29,540
846
+ ู‡ุฐู‡ ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงุณุชุฎุฏุงู… ุตูุญุงุช ู…ุณู…ู‰ Minitab ู‡ุฐุง
847
+
848
+ 244
849
+ 00:20:29,540 --> 00:20:35,760
850
+ ุจุฑู†ุงู…ุฌ ุฅุญุตุงุก ุงุณู…ู‡ Minitab ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงุถุญ ุฅู† ู‡ู†ุง
851
+
852
+ 245
853
+ 00:20:35,760 --> 00:20:42,180
854
+ ููŠ straight line ูˆุจุนุฏูŠู† ุจุฏุงูŠุด ูŠุนู…ู„ curve ุตุงุฑ ุฏุจูŠุงุด
855
+
856
+ 246
857
+ 00:20:42,180 --> 00:20:45,060
858
+ ุนู„ู‰ ุงู„ straight line ุนุดุงู† ูŠูƒูˆู† ุงู„ุณุจุจ ูŠูƒูˆู† ู‡ุฐุง ุดูƒู„ู‡
859
+
860
+ 247
861
+ 00:20:45,060 --> 00:20:49,260
862
+ ููˆุงุถุญ ุฅู† ุงู„ุดูƒู„ ุงู„ุนุงู…ู„ู‡ ู„ูŠุณ straight line
863
+
864
+ 248
865
+ 00:20:52,390 --> 00:20:54,570
866
+ ูˆุงุถุญ ุฃู† ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
867
+
868
+ 249
869
+ 00:20:54,570 --> 00:20:54,790
870
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
871
+
872
+ 250
873
+ 00:20:54,790 --> 00:20:57,810
874
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
875
+
876
+ 251
877
+ 00:20:57,810 --> 00:20:58,210
878
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
879
+
880
+ 252
881
+ 00:20:58,210 --> 00:21:03,130
882
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
883
+
884
+ 253
885
+ 00:21:03,130 --> 00:21:03,350
886
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
887
+
888
+ 254
889
+ 00:21:03,350 --> 00:21:03,410
890
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
891
+
892
+ 255
893
+ 00:21:03,410 --> 00:21:04,070
894
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
895
+
896
+ 256
897
+ 00:21:04,070 --> 00:21:06,810
898
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
899
+
900
+ 257
901
+ 00:21:06,810 --> 00:21:11,130
902
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
903
+
904
+ 258
905
+ 00:21:11,130 --> 00:21:14,810
906
+ ุดูƒู„ู‡ุง
907
+
908
+ 259
909
+ 00:21:14,810 --> 00:21:16,390
910
+ ุด
911
+
912
+ 260
913
+ 00:21:22,760 --> 00:21:26,780
914
+ ุงู„ุชุญู‚ูŠู‚ุงุช ู„ุฏูŠู‡ุง ุฃูƒุซุฑ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ุญูˆู„ ุงู„ู€mean ุฃูƒุซุฑ
915
+
916
+ 261
917
+ 00:21:26,780 --> 00:21:32,220
918
+ ู…ู† ุงู„ู…ุชูˆู‚ุน ุงู„ูˆู‚ุช ุงู„ุฃูƒุจุฑ
919
+
920
+ 262
921
+ 00:21:32,220 --> 00:21:35,540
922
+ ู…ู† ู…ุง ูƒู†ุง ู†ุชูˆู‚ุน ููŠ ุงู„ูˆุงู‚ุน ุงู„ู€ probability plot ู„ูŠุณ
923
+
924
+ 263
925
+ 00:21:35,540 --> 00:21:38,360
926
+ ุจุทุฑูŠู‚ุฉ ู…ุจุงุดุฑุฉุŒ ู„ุฐู„ูƒ ููŠ ุงู„ูˆุงุถุญ ุฃู† ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช
927
+
928
+ 264
929
+ 00:21:38,360 --> 00:21:43,680
930
+ ู…ุฎุชู„ูุฉ ูƒุซูŠุฑู‹ุง ู…ู† ุงู„ูˆู‚ุงุฆุน ุงู„ู‡ูŠูˆุฌูŠู†ูŠุฉ ู„ู„ุชุนุงู…ู„ ู…ุน
931
+
932
+ 265
933
+ 00:21:43,680 --> 00:21:44,140
934
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
935
+
936
+ 266
937
+ 00:21:44,140 --> 00:21:44,680
938
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
939
+
940
+ 267
941
+ 00:21:44,680 --> 00:21:45,940
942
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
943
+
944
+ 268
945
+ 00:21:45,940 --> 00:21:46,140
946
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
947
+
948
+ 269
949
+ 00:21:46,140 --> 00:21:50,780
950
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…
951
+
952
+ 270
953
+ 00:21:50,800 --> 00:21:53,700
954
+ ุงู„ู…ูŠุฒุฉ ูˆุงู„ู…ูŠุฒุฉ ุชู‚ุฑูŠุจู‹ุง ู…ุฑุชูุนุฉ ูˆู„ูƒู† ุงู„ู‚ูˆุงู†ูŠู† ุงู„ุฃุฎุฑู‰
955
+
956
+ 271
957
+ 00:21:53,700 --> 00:21:58,180
958
+ ุชุธู‡ุฑ ุฃู† ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ู…ุฌุชู…ุนู‹ุง ุทุจูŠุนูŠู‹ุงุŒ ู„ุฐู„ูƒ
959
+
960
+ 272
961
+ 00:21:58,180 --> 00:22:03,220
962
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุฃุฎูŠุฑุฉ ู„ู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุนุงู…ู„ู‹ุง
963
+
964
+ 273
965
+ 00:22:03,220 --> 00:22:09,860
966
+ ู…ุฎุชู„ูุฉ ุนู† ู…ุฌุชู…ุน ุทุจูŠุนูŠ ูˆู…ุชุฌุฑ ุญู‚ู‡ุงุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ
967
+
968
+ 274
969
+ 00:22:09,860 --> 00:22:12,640
970
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชูŠ ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ุงู„ุทุจูŠุนุฉ ุจุงุณุชุฎุฏุงู… ุฃู…ุง
971
+
972
+ 275
973
+ 00:22:12,640 --> 00:22:15,620
974
+ ู…ูŠุฒุฉ ู†ู…ูˆูŠุฉ ูƒู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
975
+
976
+ 276
977
+ 00:22:15,620 --> 00:22:17,260
978
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
979
+
980
+ 277
981
+ 00:22:19,780 --> 00:22:24,220
982
+ IQR equal 1.33 Sigma Range equals 6 Sigma In
983
+
984
+ 278
985
+ 00:22:24,220 --> 00:22:26,740
986
+ addition if you look at the box plot if the data
987
+
988
+ 279
989
+ 00:22:26,740 --> 00:22:31,060
990
+ is small or look at the histogram for large data
991
+
992
+ 280
993
+ 00:22:31,060 --> 00:22:34,600
994
+ and finally we look at the normal probability plot
995
+
996
+ 281
997
+ 00:22:34,600 --> 00:22:37,660
998
+ if the data points fall on straight line or closed
999
+
1000
+ 282
1001
+ 00:22:37,660 --> 00:22:40,420
1002
+ then you can say that the data is normally
1003
+
1004
+ 283
1005
+ 00:22:40,420 --> 00:22:43,200
1006
+ distributed that's all for how can we evaluate
1007
+
1008
+ 284
1009
+ 00:22:43,200 --> 00:22:51,370
1010
+ normality questions any question? ููŠ ุงู„ุจูŠุช ุจุณ ุฑุงุฌุน
1011
+
1012
+ 285
1013
+ 00:22:51,370 --> 00:22:56,530
1014
+ ุงู„ูƒู„ู…ุงุช ูƒุฏู‡ ุณู‡ู„ุฉ ุจุณ ุญุงูˆู„ูŠ ุชุฑุงุฌุนูŠู‡ุง ูƒุฏู‡ ุจูŠูƒูˆู†
1015
+
1016
+ 286
1017
+ 00:22:56,530 --> 00:23:01,990
1018
+ chapter six ุฎู„ุต so finish chapter six now before
1019
+
1020
+ 287
1021
+ 00:23:01,990 --> 00:23:04,990
1022
+ we continue and go to the next chapter I will
1023
+
1024
+ 288
1025
+ 00:23:04,990 --> 00:23:09,170
1026
+ solve one problem from the practice you have in
1027
+
1028
+ 289
1029
+ 00:23:09,170 --> 00:23:14,210
1030
+ your book ุฎู„ุงุต ู‡ู†ุญู„ ุณุคุงู„ ู…ุน ุจุนุถ ุงู„ุณุคุงู„ ุณู‡ู„ ุจุณ ููƒุฑุฉ
1031
+
1032
+ 290
1033
+ 00:23:14,210 --> 00:23:18,390
1034
+ ู‡ูˆ ู„ุงุฒู… ุชูƒูˆู† ุญุงุถุฑุฉ ุจุงู„ู†ุณุจุฉ ู„ู„ูƒู„ ู„ุฃู† ุบุงู„ุจู‹ุง ุงู„ู…ุซุงู„
1035
+
1036
+ 291
1037
+ 00:23:18,390 --> 00:23:22,190
1038
+ ู‡ุชูƒูˆู† ุณู‡ู„ุฉ ูˆู…ู† ุงู„ุณู‡ู„ ุงู„ู…ู…ุชู†ุน ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ู„ูˆ
1039
+
1040
+ 292
1041
+ 00:23:22,190 --> 00:23:26,570
1042
+ ู…ุง ูู‡ู…ุด ูƒุฏู‡ ูˆ ุจุฏู‡ ูŠุญู„ ู…ุซุงู„ ุฒูŠ ู‡ูŠูƒ ู‡ูŠุถูŠุน ุดุบู„ุงุช ูƒุซูŠุฑ
1043
+
1044
+ 293
1045
+ 00:23:26,570 --> 00:23:32,250
1046
+ ูู‡ุญู„ ุณุคุงู„ ูˆุงุญุฏ ูˆู†ุฎุชู… ูˆู†ุชุนูˆุฏ ุฏุงุฆู…ู‹ุง ุขุฎุฑ ู„ู‚ุงุก ุจุญู„ู„
1047
+
1048
+ 294
1049
+ 00:23:32,250 --> 00:23:35,610
1050
+ ุงู„ุณุคุงู„ ุฃูˆ ุงุซู†ูŠู† ู…ู† ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ูŠุนู†ูŠ ุจุฏู‡ ุดูˆูŠุฉ
1051
+
1052
+ 295
1053
+ 00:23:35,610 --> 00:23:39,170
1054
+ ุชููƒูŠุฑ ู‡ุญู„
1055
+
1056
+ 296
1057
+ 00:23:39,170 --> 00:23:46,010
1058
+ ุงู„ุณุคุงู„ 300 ูˆ.. ุงู‡ ุญูƒูŠุช ู„ูƒ 100 ุณุงุนุฉ ุชู…ุงู…ู‹ุง
1059
+
1060
+ 297
1061
+ 00:24:25,100 --> 00:24:27,560
1062
+ ู…ุด ู…ุงุถูŠ ุนุงู…ุฉ ุจู‚ู‰ ูŠุนู†ูŠ
1063
+
1064
+ 298
1065
+ 00:24:32,090 --> 00:24:36,970
1066
+ ุงู„ุณุคุงู„ 30 ุณุงุนุฉ 107 ูˆ 80 ุงุณู… ุงู„
1067
+
1068
+ 299
1069
+ 00:24:36,970 --> 00:24:46,310
1070
+ practice page 187 ูˆ
1071
+
1072
+ 300
1073
+ 00:24:46,310 --> 00:24:49,310
1074
+ ุฃู†ุง ุจุญุซ ููŠ ุงู„ practice ู‡ุนุทูŠูƒ ูƒูŠู ู…ู…ูƒู† ุงู„ุทุงู„ุจ ูŠููƒุฑ
1075
+
1076
+ 301
1077
+ 00:24:49,310 --> 00:24:53,570
1078
+ ููŠ ุงู„ุญู„ ููŠ ุงู„ุงู…ุชุญุงู† ูˆุฅูŠุด ุทุงู„ุน ุงู„ุชููƒูŠุฑ ุงู„ุตุญูŠ ุนุดุงู†
1079
+
1080
+ 302
1081
+ 00:24:53,570 --> 00:24:59,430
1082
+ ุฃุตู„ ู„ู„ุฌูˆุงุจ ููŠ ุงู„ูˆู‚ุช ุจู‚ุฑุง ุงู„ู…ุซุงู„ ูˆู‡ูŠ
1083
+
1084
+ 303
1085
+ 00:24:59,430 --> 00:25:03,570
1086
+ ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ู…ู„ุงุญุธุงุช ู…ู…ูƒู† ุฃูˆุงุฌู‡ ูƒู„ู…ุฉ ู…ุด ุนุงุฑูู‡ุงุŒ
1087
+
1088
+ 304
1089
+ 00:25:03,570 --> 00:25:09,750
1090
+ ู†ูุชุฑุถ ุฃุญุงูˆู„ ุฃูู‡ู…ู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุณูŠุงู‚ ู…ุง ูู‡ู…ุชู‡ุงุด ุญู„ุŒ
1091
+
1092
+ 305
1093
+ 00:25:09,750 --> 00:25:12,730
1094
+ ุญุทู‡ุงุŒ ุฃุนุทูŠู‡ุง ุฎุทุŒ ูˆุฃุณูŠุจูƒ ู…ู†ู‡ุงุŒ ูŠุนู†ูŠ ู…ุง ุชุถุงูŠู‚ุด ูˆู‚ุชูƒ
1095
+
1096
+ 306
1097
+ 00:25:12,730 --> 00:25:19,930
1098
+ ููŠ ุงู„ุชุฑุฌู…ุฉ ุฎุฏูŠ ุงู„ .. ุงู„ .. ุงู„ keywords ู…ู†ู‡ุงุŒ ู…ูุชุงุญ
1099
+
1100
+ 307
1101
+ 00:25:19,930 --> 00:25:20,330
1102
+ ุงู„ุญู„
1103
+
1104
+ 308
1105
+ 00:25:23,360 --> 00:25:26,360
1106
+ ูˆุจุนุฏูŠู† ุจุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูุจูŠุญูƒูŠ you were told that
1107
+
1108
+ 309
1109
+ 00:25:26,360 --> 00:25:29,480
1110
+ the amount of time lapsed between consecutive
1111
+
1112
+ 310
1113
+ 00:25:29,480 --> 00:25:33,300
1114
+ trades on a foreign stock exchange market followed
1115
+
1116
+ 311
1117
+ 00:25:33,300 --> 00:25:36,320
1118
+ by normal distribution with a mean of 15 seconds
1119
+
1120
+ 312
1121
+ 00:25:36,320 --> 00:25:41,380
1122
+ ู‚ุฑุฃุช ุงู„ุฌู…ู„ุฉ ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุฅูŠุด ูู‡ู…ุช ู…ู†ู‡ุงุŸ ููŠ ุนู†ุฏูƒ ุงู„
1123
+
1124
+ 313
1125
+ 00:25:41,380 --> 00:25:44,900
1126
+ keywords ุจุชุงุนูˆู†ูŠ normal distribution ูˆุงู„ mean
1127
+
1128
+ 314
1129
+ 00:25:44,900 --> 00:25:48,940
1130
+ equals 15 ู‡ุฐุง ุฃู†ุง ุงุณุชูˆุนุจุชู‡ุง ุจุฏูˆู† ู…ุดุงูƒู„ ู…ุดุงูƒู„ ุฅุฐุง
1131
+
1132
+ 315
1133
+ 00:25:48,940 --> 00:25:52,640
1134
+ ุงู„ mean equals 15 and we have normal distribution
1135
+
1136
+ 316
1137
+ 00:25:53,290 --> 00:25:57,670
1138
+ ูˆุจุชูƒู„ู… ุนู„ู‰ .. ู„ูˆ ุจุฏุฃุช ูุงู‡ู…ุฉ ุจุงู„ูƒุงู…ู„ ุจุชูƒู…ู„ ุนู„ู‰
1139
+
1140
+ 317
1141
+ 00:25:57,670 --> 00:26:03,030
1142
+ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ุฅู† ุงู„ูˆุงุญุฏ ูŠู†ูุฐ consecutive ู…ุนู†ุงู‡
1143
+
1144
+ 318
1145
+ 00:26:03,030 --> 00:26:11,470
1146
+ ุฅูŠุดุŸ consecutive consecutive trades ู…ุชุชุงู„ูŠุชูŠู† ูŠุนู†ูŠ
1147
+
1148
+ 319
1149
+ 00:26:11,470 --> 00:26:17,010
1150
+ ุดุบู„ุชูŠู† ูˆุฑุง ุจุนุถ ูŠุนู†ูŠ ู„ู…ู†ุŸ ู„ู„ stock exchange ุงู„ู„ูŠ ู‡ูŠ
1151
+
1152
+ 320
1153
+ 00:26:17,010 --> 00:26:23,930
1154
+ ุฃุณุนุงุฑ ุงู„ุฃุณู‡ู… ููŠ ุงู„ุจูˆุฑุตุฉ ุฅุฐุง ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ุนุดุงู† ุฃู‚ุถูŠ
1155
+
1156
+ 321
1157
+ 00:26:23,930 --> 00:26:28,750
1158
+ ุดุบู„ุชูŠู† ุฃูˆ ุดุฑุงุก ุงุซู†ูŠู† stock ุฃูˆ ู…ุดุงุจู‡ ุฃูˆ ุนู…ู„ูŠุชูŠู† ููŠ
1159
+
1160
+ 322
1161
+ 00:26:28,750 --> 00:26:34,370
1162
+ ุงู„ุดุฑุงุก ููŠ ุงู„ stock ุฅู„ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูŠุนู†ูŠ X ุนุจุงุฑุฉ ุนู†
1163
+
1164
+ 323
1165
+ 00:26:34,370 --> 00:26:39,590
1166
+ ุงู„ time ุฅุฐุง
1167
+
1168
+ 324
1169
+ 00:26:39,590 --> 00:26:44,810
1170
+ ููŠ ุนู†ุฏูŠ ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ู„ุฅู†ู‚ุถุงุก
1171
+
1172
+ 325
1173
+ 00:26:44,810 --> 00:26:48,070
1174
+ ุนู…ู„ุชูŠู† ููŠ ุงู„ุดุฑุงุก ู„ู„ stock ุจูŠุณุงูˆูŠ ุฅู„ู‡ุง normal
1175
+
1176
+ 326
1177
+ 00:26:48,070 --> 00:26:50,650
1178
+ distribution ู…ู† ู…ูŠู† ูˆุฎู…ุณุฉ ุนุงู…ู„ูŠู† ุงู„ู„ูŠ ู„ุฃ ุฃู†ุง
1179
+
1180
+ 327
1181
+ 00:26:50,650 --> 00:26:55,470
1182
+ ู…ุง ู‚ุฑุฃุช ุงู„ู„ูŠ ู‡ูŠูƒ ูˆุจุนุฏูŠู† ุงุฑุณู… ุฃูˆุชูˆู…ุงุชูŠูƒ ุงู„ุฑุณู…ุฉ ุชุงุจุนุฉ
1183
+
1184
+ 328
1185
+ 00:26:55,470 --> 00:27:00,730
1186
+ ุงู„ู€ Normal Distribution ุนุงู„ู…ูŠู‹ุง
1187
+
1188
+ 329
1189
+ 00:27:00,730 --> 00:27:07,650
1190
+ ุฃุญุงูˆู„ ุงุฑุณู… ูƒูˆูŠุณุฉ ู„ุฑุณู… ู…ู‡ู… ู„ูู‡ู… ุงู„ู…ุซุงู„ ุฒูŠ ุฃูˆู„
1191
+
1192
+ 330
1193
+ 00:27:07,650 --> 00:27:12,350
1194
+ ู…ุนู„ูˆู…ุฉ ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ุซุงู†ูŠุฉ you were to also told that
1195
+
1196
+ 331
1197
+ 00:27:12,350 --> 00:27:14,710
1198
+ the probability that the time lapsed between two
1199
+
1200
+ 332
1201
+ 00:27:14,710 --> 00:27:18,070
1202
+ consecutive trades to fall between 16 and 17
1203
+
1204
+ 333
1205
+ 00:27:18,070 --> 00:27:24,470
1206
+ seconds was 13% ุงู„ุฒู…ู† ู…ุง ุจูŠู† 16 ูˆ 17 ุซุงู†ูŠุฉ ูŠุนุทูŠู†ูŠ
1207
+
1208
+ 334
1209
+ 00:27:24,470 --> 00:27:29,150
1210
+ ุจุงู„ุณุงูˆู‰ 13 ุทุจ ุฃูƒูŠุฏ ุงู„ 16 ู‡ุชูŠุฌูŠ ู‡ูŠูƒ ู…ุด ูƒุฏู‡ุŸ ู‡ุงูŠ ุงู„
1211
+
1212
+ 335
1213
+ 00:27:29,150 --> 00:27:41,270
1214
+ 16 ู‡ุงูŠ ุงู„ 16 ูˆู‡ุงูŠ ุงู„ 17 ู‡ุฐู‡
1215
+
1216
+ 336
1217
+ 00:27:41,270 --> 00:27:47,110
1218
+ ุงู„ู…ุณุงูุฉ 30 13% ู‡ุฐู‡ ู‡ูŠูƒ 13
1219
+
1220
+ 337
1221
+ 00:27:50,320 --> 00:27:56,720
1222
+ ุฅุฐุง ุงู„ู…ุณุงูุฉ ู‡ูŠ ู…ุณุงุญุฉ ุงู„ุญุฏูŠู‚ุฉ 13 ุฃุนุทุงู†ูŠ
1223
+
1224
+ 338
1225
+ 00:27:56,720 --> 00:27:59,940
1226
+ ูƒู…ุงู† .. ุฅุฐุง ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ุฃุนุทุงู†ูŠ ุฅูŠุงู‡ุง probability x
1227
+
1228
+ 339
1229
+ 00:27:59,940 --> 00:28:06,280
1230
+ between 15 and sorry 16 and 17 this probability
1231
+
1232
+ 340
1233
+ 00:28:06,280 --> 00:28:16,490
1234
+ equals 13% between 16 and 17 next the probability
1235
+
1236
+ 341
1237
+ 00:28:16,490 --> 00:28:19,250
1238
+ that the time laps between two consecutive trays
1239
+
1240
+ 342
1241
+ 00:28:19,250 --> 00:28:23,350
1242
+ would fall below 13 seconds ุฃู‚ู„ ู…ู† 13 ุซุงู†ูŠุฉ
1243
+
1244
+ 343
1245
+ 00:28:23,350 --> 00:28:30,550
1246
+ ุงู„ุชู„ุชุงุด ู‡ูŠูƒ ุจุณ ู‡ู†ุง ููŠ ุนู†ุฏูŠุด 14ุŒ ู…ุธุจูˆุทุŸ ููŠ ุชู„ุชุงุด
1247
+
1248
+ 344
1249
+ 00:28:30,550 --> 00:28:38,810
1250
+ ู‡ู†ุง ุงู„ุฃู‚ู„ ู…ู† ุชู„ุชุงุด ุชุณุงูˆูŠ ุณุจุนุฉ ูุงู‡ู…ูŠู†ุŒ ู‡ุฐุง ุงู„
1251
+
1252
+ 345
1253
+ 00:28:38,810 --> 00:28:39,630
1254
+ probability ู‡ูŠูƒ
1255
+
1256
+ 346
1257
+ 00:28:43,290 --> 00:28:51,470
1258
+ 7% ูˆูƒุงู† ุนู„ูŠ ุฃูƒุชุจู‡ุง ูƒู„ู‡ุง ุจู†ูุณูŠ ุฃูƒุชุจ ู‡ูŠูƒ 7% in 7
1259
+
1260
+ 347
1261
+ 00:28:51,470 --> 00:29:00,190
1262
+ percent ุฅุฐุง ุฃุนุทุงู†ูŠ 1000 ู…ุนู„ูˆู…ุฉ ุงู„ mean 15 ุงู„
1263
+
1264
+ 348
1265
+ 00:29:00,190 --> 00:29:04,350
1266
+ probability between 16 and 17 point 13 ูˆุงู„ุฃู‚ู„ ู…ู†
1267
+
1268
+ 349
1269
+ 00:29:04,350 --> 00:29:09,220
1270
+ 13 ุจุชุณุงูˆูŠ point 07 ุทุจ ุฅูŠุด ุงู„ู„ูŠ ุนุงูŠุฒู‡ what's the
1271
+
1272
+ 350
1273
+ 00:29:09,220 --> 00:29:11,280
1274
+ probability that the time lapse between two
1275
+
1276
+ 351
1277
+ 00:29:11,280 --> 00:29:14,880
1278
+ consecutive trades will be longer than 17 seconds
1279
+
1280
+ 352
1281
+ 00:29:14,880 --> 00:29:23,660
1282
+ ุงู„ุฃูˆู„ู‰ ูˆุงุญุฏุฉ ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† 17 ุฅุฐู†
1283
+
1284
+ 353
1285
+ 00:29:23,660 --> 00:29:28,280
1286
+ ู‡ูˆ ุฃุนุทุงู†ูŠ ุงู„ mean equal 15
1287
+
1288
+ 354
1289
+ 00:29:34,780 --> 00:29:39,740
1290
+ ุจุนุฏูŠู† ุฃุนุทุงู†ูŠ P between 16 and 17 equal 13 ูˆุงู„ู„ูŠ
1291
+
1292
+ 355
1293
+ 00:29:39,740 --> 00:29:44,540
1294
+ ุฃูƒุจุฑ ู…ู† ุงู„ 37% ู‡ูˆ ุนุงูŠุฒ ุงู„ุฃูƒุจุฑ ู…ู† 17 ุฅูŠุด ุงู„
1295
+
1296
+ 356
1297
+ 00:29:44,540 --> 00:29:50,080
1298
+ probability ุจุชุณุงูˆูŠุŸ ุจุชุทู„ุน ูƒูˆูŠุณ ููŠ ุงู„ุญู„ุŒ ู‡ู„ ู„ุงุฒู…
1299
+
1300
+ 357
1301
+ 00:29:50,080 --> 00:29:53,560
1302
+ ุฃุญู„ ุงู„ู…ุซุงู„ ุจุงู„tableุŸ ูˆุนุดุงู† ุฃุญู„ู‡ุง ุจุงู„table ู„ุงุฒู…
1303
+
1304
+ 358
1305
+ 00:29:53,560 --> 00:29:57,500
1306
+ ุฃุญูˆู„ ู„ู…ูŠู†ุŸ ู„ู„ Z-score ุฅุฐุง ุฃูˆู„ ุญุงุฌุฉ ุจููƒุฑ ููŠู‡ุง ุฃุญูˆู„
1307
+
1308
+ 359
1309
+ 00:29:57,500 --> 00:30:03,420
1310
+ ู„ู„ Z-score ุจุณ ุฃู†ุง ุจุนุฑู ุฅู† ุงู„ Z-score X ู†ุงู‚ุต Mu
1311
+
1312
+ 360
1313
+ 00:30:03,420 --> 00:30:08,110
1314
+ over Sigma ุงู„ู€ Mu is given ูˆ Sigma is unknown ุจุจู‚ู‰
1315
+
1316
+ 361
1317
+ 00:30:08,110 --> 00:30:12,750
1318
+ ุซุงู†ูŠ ุฅู†ูƒ ุชุญูˆู„ ู„ู„ Z ู…ุด ู‡ุชุตู„ุญ ุญุงู„ู‡ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุงู„ุฃู‚ู„
1319
+
1320
+ 362
1321
+ 00:30:12,750 --> 00:30:16,010
1322
+ ูŠุนู†ูŠ ู…ุง ููŠุด solution direct ุฅุฐุง ุฃู†ุง ุญูƒูŠุช ุฅู†ูƒ ุชุงุฎุฏ
1323
+
1324
+ 363
1325
+ 00:30:16,010 --> 00:30:21,230
1326
+ ุงู„ุญู„ ุจุงู„ normal table ู…ุด ู‡ูŠู†ูุน ุจุฏุง ุฃููƒุฑ ููŠ
1327
+
1328
+ 364
1329
+ 00:30:21,230 --> 00:30:28,990
1330
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ุซุงู†ูŠ ุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ ูˆุฃุทู„ุน ูƒูˆูŠุณ ุงู„ุขู† ุฃุทู„ุน
1331
+
1332
+ 365
1333
+ 00:30:28,990 --> 00:30:33,870
1334
+ ุนู„ู‰ ุงู„ู…ุณุงูุงุช ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ู…ุธุจูˆุท ูˆู‡ูŠ ุงู„ mean
1335
+
1336
+ 366
1337
+ 00:30:36,740 --> 00:30:43,780
1338
+ ุฃู†ุง ุจุนุฑู ุงู„ .. ุงู„ู…ุณุงูุฉ ูƒู„ู‡ุง ู†ุตู ุนู„ู‰ ูŠู…ูŠู† ุงู„ MูŠูˆ ูˆู†ุตู
1339
+
1340
+ 367
1341
+ 00:30:43,780 --> 00:30:48,660
1342
+ ุนู„ู‰ ูŠุณุงุฑ ุงู„ MูŠูˆ ุจุณ ุจุนุฑู ุฅู† ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ู‡ูŠูƒุŒ ู‡ุฐู‡
1343
+
1344
+ 368
1345
+ 00:30:48,660 --> 00:30:54,380
1346
+ ู‡ูŠูƒุŒ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ู‡ูŠูƒ ู…ู† 15 ุฅู„ู‰ 17 ูƒู„
1347
+
1348
+ 369
1349
+ 00:30:54,380 --> 00:30:58,560
1350
+ ู‡ุฐู‡ ุจูŠุณุงูˆูŠ ู…ู† 13 ุฅู„ู‰ 15ุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ
1351
+
1352
+ 370
1353
+ 00:30:58,560 --> 00:31:04,630
1354
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ู‡ุฐู‡ ูƒู„ู‡ุง ู‡ูŠูƒ ู…ุธุจูˆุทุŸ ุจุชุณุงูˆูŠ ..
1355
+
1356
+ 371
1357
+ 00:31:04,630 --> 00:31:09,570
1358
+ ุฎู„ูŠู†ูŠ ุฃุนู„ู…ูƒ ุนู„ูŠู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุง ู…ู† 15 ุฅู„ู‰ 17
1359
+
1360
+ 372
1361
+ 00:31:09,570 --> 00:31:14,270
1362
+ ูŠุนู†ูŠ ุงู„ุจุฑู…ูŠู„ูŠุฉ between 15 and 17 ู„ุฅู†ู‡ ุนู†ุฏู‡ normal
1363
+
1364
+ 373
1365
+ 00:31:14,270 --> 00:31:19,990
1366
+ distribution ู†ูุณ ุงู„ู…ุณุงูุฉ ุจูŠู† 13 ุฅู„ู‰ 15ุŒ ู…ุธุจูˆุทุŸ ุทูŠุจ
1367
+
1368
+ 374
1369
+ 00:31:19,990 --> 00:31:26,410
1370
+ ู‡ุฐู‡ ู†ูุณ ุงู„ู…ุณุงูุฉ ุจุชุงุนูŠู† ู„ dial ุฒูŠ ุจุนุถุŒ ู„ุทุฑุงู ุฒูŠ ู…ุฑุฉ
1371
+
1372
+ 375
1373
+ 00:31:26,410 --> 00:31:32,420
1374
+ ุซุงู†ูŠุฉุŒ ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ู…ู† 15 ุฅู„ู‰ 17 ูˆู‡ูŠุนู†ุฏูŠ ู…ู† 13
1375
+
1376
+ 376
1377
+ 00:31:32,420 --> 00:31:39,920
1378
+ ู„ 15 ู„ุญุธุฉ ุจุนู„ู… ุนู„ูŠู‡ุง ุฏูˆู„ ู…ู† 15 ู„ 17
1379
+
1380
+ 377
1381
+ 00:31:39,920 --> 00:31:45,580
1382
+ ุงุซู†ูŠู†ุŒ ู…ุธุจูˆุทุŸ ู…ู† 13 ู„ 15 ุจุฑุถู‡ ุงุซู†ูŠู† ูุงู„ู…ุณุงูุฉ
1383
+
1384
+ 378
1385
+ 00:31:45,580 --> 00:31:51,140
1386
+ ุญุงู…ู„ุฉ ุฒูŠ ุจุนุถ ุฅูŠุด ุจุชุงุนุŸ ุงู„ left ูˆุงู„ right ุฒูŠ ุจุนุถ
1387
+
1388
+ 379
1389
+ 00:31:51,140 --> 00:31:56,800
1390
+ ูุจุงู„ุชุงู„ูŠ ู‡ุฐู‡ ุณุจุนุฉ ูˆุฃูƒูŠุฏ ู‡ุฐู‡ ุฃุฎุชู‡ุง ุณุจุนุฉ ุฅุฐุง ู…ู† ุบูŠุฑ
1391
+
1392
+ 380
1393
+ 00:31:56,800 --> 00:32:02,840
1394
+ ุญู„ ุฎุงู„ุตุŒ ู‡ูŠุจู‚ู‰ ุณุจุนุฉ ููŠ ุงู„ู…ุฆุฉ ู…ู† ุฎู„ุงู„ ุงู„ุฑุณู… ู…ุฑุฉ
1395
+
1396
+ 381
1397
+ 00:32:02,840 --> 00:32:08,360
1398
+ ุซุงู†ูŠุฉ ู„ูˆ ุจุฏูŠ ุฃุญูˆู„ ุนู„ู‰ ุงู„ sigma ุจุงุณุชุฎุฏุงู… ุงู„ z score
1399
+
1400
+ 382
1401
+ 00:32:08,360 --> 00:32:11,680
1402
+ ู„ูˆ ุจุฏูŠ ุฃุญูˆู„ ุนู„ู‰ ุงู„ z score ู…ุง ุนู†ุฏูŠุด sigma ุจุชู„ุช
1403
+
1404
+ 383
1405
+ 00:32:11,680 --> 00:32:14,400
1406
+ ุทุฑูŠู‚ุฉ ุทูˆูŠู„ุฉ ูˆู…ู…ูƒู† ุชุฃุฎุฏ ู…ุนุงูŠุง ูˆู‚ุช ู…ุง ูŠุตู„ุญ ุญุงู„ูŠ
1407
+
1408
+ 384
1409
+ 00:32:14,400 --> 00:32:20,720
1410
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุซุงู†ูŠุฉ ุงุฑุณู… ูˆุงุฑุณู… ูˆุฃููƒุฑ ููŠ ุงู„ุญู„ ุญุณุจ ุงู„
1411
+
1412
+ 385
1413
+ 00:32:20,720 --> 00:32:21,720
1414
+ symmetric distribution
1415
+
1416
+ 386
1417
+ 00:32:24,170 --> 00:32:28,870
1418
+ ููˆุงุถุญ ุฒูŠ ู…ุง ุญูƒูŠุช ู…ู† 15 ู„ 17 ู†ูุณู‡ุง ู…ู† ู‡ู†ุง ู„ 13 ู„ 15
1419
+
1420
+ 387
1421
+ 00:32:28,870 --> 00:32:35,490
1422
+ ูˆู‡ุฐู‡ ู…ุนุฑูˆูุฉ ู„ุฃู‚ู„ ู…ู† 13 7% ุฃูƒูŠุฏ ู„ุฃูƒุซุฑ ู…ู† 17 7% ู„ุฃู†
1423
+
1424
+ 388
1425
+ 00:32:35,490 --> 00:32:41,610
1426
+ ู‡ุฐุง ู…ุง ุชุจู‚ู‰ ุนู†ุฏูŠ ู„ูŠุดุŸ ู„ุฃู† ุงู„ู…ุณุงุญุฉ ู…ู† 13 ู„ 15 ู‡ูŠู‡ุง
1427
+
1428
+ 389
1429
+ 00:32:41,610 --> 00:32:47,370
1430
+ ูˆู‡ูŠ ุงู„ 15 ู„ 17 ุงู„ู„ูŠ ุจูŠุชุจู‚ู‰ ู‡ุฏูˆู„ ุจุชู…ุซู„ู‡ู… ุฒูŠ ุจุนุถ ุจุณ
1431
+
1432
+ 390
1433
+ 00:32:47,370 --> 00:32:49,430
1434
+ ูˆุงุญุฏ ู„ู„ Z-score ุงู„ู„ูŠ positive ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ
1435
+
1436
+ 391
1437
+ 00:32:49,430 --> 00:32:52,190
1438
+ ุงู„ุซุงู†ูŠ ู„ู„ negative ููˆุงุถุญ ู‡ุฐุง positive ู„ุฃู† 17 ุฃูƒุจุฑ
1439
+
1440
+ 392
1441
+ 00:32:52,190 --> 00:32:59,430
1442
+ ู…ู†
1443
+
1444
+ 431
1445
+ 00:36:29,240 --> 00:36:34,940
1446
+ ู†ุงู‚ุต ู…ุง ุชุจู‚ู‰ ู…ุง ุชุจู‚ู‰ ุงู„ู„ูŠ ู‡ูŠ ุณู…ูŠู‡ุง A ุณู…ูŠู‡ุง B ูˆู‡ุงุฏูŠ
1447
+
1448
+ 432
1449
+ 00:36:34,940 --> 00:36:42,480
1450
+ C ู„ูˆ ุฌู…ุนุช A ูˆB ูˆC ู…ุน ุจุนุถ ุณุจุนุฉ ูˆุนุดุฑูˆู† ุณุจุนุฉ ูˆุนุดุฑูˆู†
1451
+
1452
+ 433
1453
+ 00:36:42,480 --> 00:36:47,540
1454
+ ุจุชุทู„ุน ุชู„ุงุชุฉ ูˆุซู…ุงู†ูŠู† ุงู‡ุŸ ุงูŠู‡ ุฌู…ุน ู‡ุฏูˆู„ุŸ ุซู„ุงุซุฉ ุนุดุฑ ุณุจุนุฉ
1455
+
1456
+ 434
1457
+ 00:36:47,540 --> 00:36:53,200
1458
+ ูˆุนุดุฑูˆู† ุณุจุนุฉ ูˆุนุดุฑูˆู† ู…ุด ู‡ูŠูƒุŸ ุงูŠุด
1459
+
1460
+ 435
1461
+ 00:36:53,200 --> 00:36:53,660
1462
+ ู…ุง ุชู„ุงุฒู…
1463
+
1464
+ 436
1465
+ 00:36:56,930 --> 00:37:04,510
1466
+ ุฃุฏูˆุงุฑ ุงู„ู…ุฌู…ูˆุนุฉ ูƒุฏู‡ุŸ 27 ู…ุธุจูˆุท
1467
+
1468
+ 437
1469
+ 00:37:04,510 --> 00:37:10,190
1470
+ 73 between
1471
+
1472
+ 438
1473
+ 00:37:10,190 --> 00:37:17,570
1474
+ 13 and 16 seconds ู…ู† 13 ู„ุบุงูŠุฉ 16 ุฃูˆ ุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ
1475
+
1476
+ 439
1477
+ 00:37:17,570 --> 00:37:25,480
1478
+ ุงุญู†ุง ุญุณุจู†ุง ุชูˆ ุจูŠู† 15 ูˆ 16 ูƒุฏู‡ุŸ 30 ู‡ูŠูƒูˆู† ุจูŠู† 14 ูˆ 15
1479
+
1480
+ 440
1481
+ 00:37:25,480 --> 00:37:34,140
1482
+ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุฅุฐุง ู‡ุฐู‡ 30 ูˆ ู‡ุฐู‡ 7 ู‡ุฐู‡ ูƒู…ุŸ 13 ู…ุธุจูˆุทุŸ
1483
+
1484
+ 441
1485
+ 00:37:34,140 --> 00:37:42,640
1486
+ ู‡ุฐู‡ ูƒุซูŠุฑุฉ ูˆ ููŠ ุงู„ุขุฎุฑ 30 ูˆ 30 ูˆ 13 73 ุทูŠุจ ุงู„ู„ูŠ
1487
+
1488
+ 442
1489
+ 00:37:42,640 --> 00:37:43,060
1490
+ ุจุนุฏู‡ุงุŸ
1491
+
1492
+ 443
1493
+ 00:37:53,900 --> 00:38:00,120
1494
+ ุงู„ุฎุงุตูŠุฉ ู‡ูŠ 20% ู…ู† ุงู„ูˆู‚ุช ุณูŠูƒูˆู† ุฃู‚ู„ ู…ู† ุนุฏุฉ ุซูˆุงู†ูŠ
1495
+
1496
+ 444
1497
+ 00:38:00,120 --> 00:38:05,000
1498
+ ุซูˆุงู†ูŠ
1499
+
1500
+ 445
1501
+ 00:38:05,000 --> 00:38:23,080
1502
+ ุฏู‚ูŠู‚ุฉ
1503
+
1504
+ 446
1505
+ 00:38:43,250 --> 00:38:47,730
1506
+ ุจูŠุญูƒูŠ ุงู„ู€ probability is 20% that the time lapse
1507
+
1508
+ 447
1509
+ 00:38:47,730 --> 00:38:51,850
1510
+ will be shorter than how many secondsุŸ ุฃูŠุด ุงู„ู‚ูŠู…ุฉุŸ ุงู„ู„ูŠ
1511
+
1512
+ 448
1513
+ 00:38:51,850 --> 00:38:55,150
1514
+ ุฃู‚ู„ ู…ู†ู‡ุงุŒ shorter ุฃู‚ู„ุŒ 20%
1515
+
1516
+ 449
1517
+ 00:38:58,150 --> 00:39:02,130
1518
+ 14 ู„ุฃู†ู‡ ุทู„ุน ุงู„ู€ 14 ูŠุนู†ูŠ ู‡ูˆ ุนุงูŠุฒ probability of X
1519
+
1520
+ 450
1521
+ 00:39:02,130 --> 00:39:08,210
1522
+ less than shorter less than A equals 20% ู‡ูŠ ุงู„ู„ูŠ
1523
+
1524
+ 451
1525
+ 00:39:08,210 --> 00:39:13,230
1526
+ ุฃู†ุง ุนุงูŠุฒู‡ุง what's the value of AุŸ ูˆูŠู† ููŠู‡ ุนู†ุฏูƒ 20%
1527
+
1528
+ 452
1529
+ 00:39:13,230 --> 00:39:19,250
1530
+ ุจุชูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ุŸ ููŠู‡ 7 ูˆ 13 ู‡ูŠ 20 ุฅุฐุง ู‡ูˆ ูˆุฑุงู‡ุง ุฃู‚ู„
1531
+
1532
+ 453
1533
+ 00:39:19,250 --> 00:39:25,290
1534
+ ู…ู† 14 ุฅุฐุง ุฃู†ุง A equal 14 ุงู„ 16 ู‡ุฐุง ุฃูƒุซุฑ ู„ูˆ ุญูƒู‰
1535
+
1536
+ 454
1537
+ 00:39:25,290 --> 00:39:31,910
1538
+ shorter ๏ฟฝ๏ฟฝูˆ ุญูƒู‰ longer ุจุตูŠุฑ ูŠุง 16 ูˆุงุถุญุŸ ุฅุฐุงู‹ shorter
1539
+
1540
+ 455
1541
+ 00:39:31,910 --> 00:39:38,650
1542
+ ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡ุง ุฃู‚ู„ ู…ู† a ู„ูˆ ูƒุงู†ุช longer ุงู„ุฌูˆุงุจ
1543
+
1544
+ 456
1545
+ 00:39:38,650 --> 00:39:45,570
1546
+ ุจูŠูƒูˆู† ู„ูˆ ุนุงูŠุฒ P
1547
+
1548
+ 457
1549
+ 00:39:45,570 --> 00:39:51,950
1550
+ of X greater than P equal to 20% what's the value
1551
+
1552
+ 458
1553
+ 00:39:51,950 --> 00:39:55,970
1554
+ of P such that P of X greater than P equal to 20%
1555
+
1556
+ 459
1557
+ 00:39:58,190 --> 00:40:06,350
1558
+ ู‚ู„ู„ูŠ 16 ู B equal 16 one
1559
+
1560
+ 460
1561
+ 00:40:06,350 --> 00:40:14,450
1562
+ more 34 the middle 60% of the time lapse will fall
1563
+
1564
+ 461
1565
+ 00:40:14,450 --> 00:40:18,930
1566
+ between which two numbers ุงู„ middle between for
1567
+
1568
+ 462
1569
+ 00:40:18,930 --> 00:40:24,790
1570
+ example A and B this area equals 60% ุงูŠุด ู‚ูŠู…ุฉ A ูˆ
1571
+
1572
+ 463
1573
+ 00:40:24,790 --> 00:40:33,480
1574
+ B ุจุญูŠุซ ู…ุณุงุญุฉ ุงู„ B ู… 16%ูˆุงุถุญ 60% 30 plus 30 so 14
1575
+
1576
+ 464
1577
+ 00:40:33,480 --> 00:40:37,700
1578
+ and 16 one
1579
+
1580
+ 465
1581
+ 00:40:37,700 --> 00:40:48,040
1582
+ more
1583
+
1584
+ 466
1585
+ 00:40:48,040 --> 00:40:55,380
1586
+ between c1 and c2 equals 86
1587
+
1588
+ 467
1589
+ 00:40:57,250 --> 00:41:01,310
1590
+ ู…ุง ู‡ูŠ ู‚ูŠู…ุฉ C1 ูˆC2 ุฅุฐุง ูƒุงู†ุช ู‚ูŠู…ุฉ C1 ูˆC2 ู…ุซู„ู‹ุง
1591
+
1592
+ 468
1593
+ 00:41:01,310 --> 00:41:10,450
1594
+ ุชู‚ุฑูŠุจู‹ุง 86 ู…ุง ู‡ูŠ ู‚ูŠู…ุฉ C1 ูˆC2 ู‡ูŠ
1595
+
1596
+ 469
1597
+ 00:41:10,450 --> 00:41:19,630
1598
+ 60 ู…ุธุจูˆุท ูˆู‡ูŠ 13 ูˆ13 26 ุฅุฐุง ุงูŠุด ู‡ูŠูƒูˆู† ุชู‚ุฑูŠุจู‹ุง ุจูŠู†
1599
+
1600
+ 470
1601
+ 00:41:19,630 --> 00:41:20,750
1602
+ 13 ูˆ17
1603
+
1604
+ 471
1605
+ 00:41:29,680 --> 00:41:45,120
1606
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู„ูˆ ุณุฃู„ุชูƒุŒ ูƒุฏู‡ ุฃุฎู„ุต ุงู„ุณุคุงู„ ุฎู„ูŠู†ูŠ
1607
+
1608
+ 472
1609
+ 00:41:45,120 --> 00:41:53,780
1610
+ ุฃู…ุณุญ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุณุคุงู„ ุจุณูŠุทุŒ determine ุณูŠุฌู…ุง
1611
+
1612
+ 473
1613
+ 00:41:53,780 --> 00:41:57,020
1614
+ ุงุญุณุจู„ูŠ ุณูŠุฌู…ุง
1615
+
1616
+ 474
1617
+ 00:42:00,180 --> 00:42:02,880
1618
+ ู†ูุชุฑุถ ุฃู† ุฃู†ุง ู„ุณู‡ ู„ู‡ุฐู‡ ุงู„ุญุงู„ุงุช ูˆ ุฃุฑูŠุฏ ุฃู† ุฃุฎุฑุฌ ุงู„ู€
1619
+
1620
+ 475
1621
+ 00:42:02,880 --> 00:42:07,860
1622
+ Sigma ู…ู…ูƒู† ุฃุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู…ู…ูƒู† ุฃุฎุฏ P of X
1623
+
1624
+ 476
1625
+ 00:42:07,860 --> 00:42:11,980
1626
+ greater than 17 equals 7% ูˆ ุฃุญู„ ุนู„ูŠู‡ุง ุฑูƒุฒูŠ ู…ุนุงูŠุง
1627
+
1628
+ 477
1629
+ 00:42:11,980 --> 00:42:21,900
1630
+ this equals 7% ู…ุธุจูˆุท ู„ุญูŠู†ู‡ุง ููŠ ุฃูˆู„ ูˆุงุญุฏุฉ now this
1631
+
1632
+ 478
1633
+ 00:42:21,900 --> 00:42:22,940
1634
+ probability is given
1635
+
1636
+ 479
1637
+ 00:42:32,970 --> 00:42:40,530
1638
+ ู…ุนู†ู‰ ุจูŠูˆ ุจุงูƒุณ ุฃู‚ู„ ู…ู† ุณุจู†ุชูŠู† ู…ุงุฐุง ูŠุนู†ูŠุŸ ุงู„ุฃูƒุจุฑ
1639
+
1640
+ 480
1641
+ 00:42:40,530 --> 00:42:44,110
1642
+ ุณุจุนุฉุŒ ู…ุงุฐุง ูŠุนู†ูŠุŸ ูˆุงุญุฏ ู†ู‚ู„ ุณุจุนุฉ ุฅู„ู‰ ุชู„ุงุชุฉ ูˆุณุชูŠู† ููŠ
1643
+
1644
+ 481
1645
+ 00:42:44,110 --> 00:42:49,550
1646
+ ุงู„ู…ุงุฆุฉ ุงู„ู€ probability is givenุŒ this X is givenุŒ
1647
+
1648
+ 482
1649
+ 00:42:49,550 --> 00:42:55,630
1650
+ now convert to this score ุฒูŠ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1651
+
1652
+ 483
1653
+ 00:42:55,630 --> 00:42:56,470
1654
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1655
+
1656
+ 484
1657
+ 00:42:56,470 --> 00:43:02,110
1658
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1659
+
1660
+ 485
1661
+ 00:43:02,110 --> 00:43:06,090
1662
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1663
+
1664
+ 486
1665
+ 00:43:06,090 --> 00:43:08,130
1666
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1667
+
1668
+ 487
1669
+ 00:43:08,130 --> 00:43:08,690
1670
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1671
+
1672
+ 488
1673
+ 00:43:08,690 --> 00:43:09,970
1674
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1675
+
1676
+ 489
1677
+ 00:43:09,970 --> 00:43:18,050
1678
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ
1679
+
1680
+ 490
1681
+ 00:43:18,050 --> 00:43:29,180
1682
+ ู…ู† ุฃูƒุซุฑ ู…ู† ุงู†ุชุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ
1683
+
1684
+ 491
1685
+ 00:43:29,180 --> 00:43:33,540
1686
+ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰
1687
+
1688
+ 492
1689
+ 00:43:33,540 --> 00:43:33,800
1690
+ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ
1691
+
1692
+ 493
1693
+ 00:43:33,800 --> 00:43:34,580
1694
+ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96
1695
+
1696
+ 494
1697
+ 00:43:34,580 --> 00:43:37,400
1698
+ ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0
1699
+
1700
+ 495
1701
+ 00:43:37,400 --> 00:43:39,140
1702
+ .96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ
1703
+
1704
+ 496
1705
+ 00:43:39,140 --> 00:43:42,060
1706
+ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ
1707
+
1708
+ 497
1709
+ 00:43:42,060 --> 00:43:49,170
1710
+ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 So now look
1711
+
1712
+ 498
1713
+ 00:43:49,170 --> 00:44:02,550
1714
+ at 93 ุทู„ุน ุนู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู„ 93 ููŠ
1715
+
1716
+ 499
1717
+ 00:44:02,550 --> 00:44:10,190
1718
+ ุนู†ุฏูŠ 9332 ู‡ู„ ููŠ ุฃู‚ุฑุจ ู…ู†ู‡ุง ู„ุฃ ููŠ ุฃู‚ุฑุจ ูˆู„ุง ู„ุฃ ุชู„ุงุญุธ
1719
+
1720
+ 500
1721
+ 00:44:10,190 --> 00:44:16,990
1722
+ ููŠ ุนู†ุฏูŠ 9306 ู‡ุฐุง ุฃู‚ุฑุจ ูˆุงุญุฏ ุชู‚ุฑูŠุจุง ู‡ูŠ ููŠ ุงู„ุขุฎุฑ ุงู„ูุฑู‚
1723
+
1724
+ 501
1725
+ 00:44:16,990 --> 00:44:21,010
1726
+ ู…ุด ูƒุจูŠุฑ ุจุณ the exact .. the approximate ูŠุนู†ูŠ the
1727
+
1728
+ 502
1729
+ 00:44:21,010 --> 00:44:27,230
1730
+ more accurate answer is 0.9306 ู…ุด ู‡ุฐุง ุงู„ุฃู‚ุฑุจ ู‡ูŠูƒุŸ
1731
+
1732
+ 503
1733
+ 00:44:27,230 --> 00:44:33,230
1734
+ ุฅุฐุง ุฃู†ุง ุงุดูŠ ุฌูˆุงุจ ุทุจุนู‡ุง ุฃุฑุจุนุฉ ุชุญุช ุงู„ุซู…ุงู†ูŠุฉ ุฅุฐุง ุงู„ Z
1735
+
1736
+ 504
1737
+ 00:44:33,230 --> 00:44:38,890
1738
+ ู…ู‚ุงุจู„ ู„ู‡ุฐู‡ one point four eight this is my Z this
1739
+
1740
+ 505
1741
+ 00:44:38,890 --> 00:44:39,890
1742
+ is equal to two over sigma
1743
+
1744
+ 506
1745
+ 00:44:43,220 --> 00:44:48,760
1746
+ ุฅุฐุง ุฃู†ุง ูƒู„ ู…ุง ูุนู„ุชู‡ ู‡ูˆ ุญ๏ฟฝ๏ฟฝู„ุช ุงู„ู€ z-score ูˆุทู„ุนุช 93%
1747
+
1748
+ 507
1749
+ 00:44:48,760 --> 00:44:54,200
1750
+ ุทู„ุนุช ู…ู† ุงู„ู€ table ุฃู‚ุฑุจ ูˆุงุญุฏุฉ ุฅู„ู‰ 1.48 ูƒูŠู ู†ุฌุฏ
1751
+
1752
+ 508
1753
+ 00:44:54,200 --> 00:44:58,560
1754
+ ุณูŠุฌู…ุงุŸ ู†ุนู…ู„ ุนุดุงู† cross multiplication ู†ุถุฑุจ ููŠ ุจุนุถ
1755
+
1756
+ 509
1757
+ 00:44:58,560 --> 00:45:05,420
1758
+ ุถุฑุจ ุชุจุงุฏู„ ุงูŠุด
1759
+
1760
+ 510
1761
+ 00:45:05,420 --> 00:45:12,340
1762
+ ุจูŠุทู„ุน ุงู„ุญูŠู† ู„ูˆ ุจูŠุชูƒู…ู„ ุจูŠุทู„ุน 1.48 ุณูŠุฌู…ุง equal to
1763
+
1764
+ 511
1765
+ 00:45:16,010 --> 00:45:25,210
1766
+ ูˆ 1.48 ูˆ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ู‡ุฐุง ุงู„ุฅุฌุงุจุฉ 1.35 ูู‡ุฐุง ู‡ูˆ
1767
+
1768
+ 512
1769
+ 00:45:25,210 --> 00:45:30,510
1770
+ ุณูŠุฌู…ุงูƒ ุฅุฐุง
1771
+
1772
+ 513
1773
+ 00:45:30,510 --> 00:45:34,990
1774
+ ูƒู†ุง ู†ุนุฑู ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ
1775
+
1776
+ 514
1777
+ 00:45:34,990 --> 00:45:39,490
1778
+ ูŠู…ูƒู†ูƒ ุฃู† ุชุชุฎูŠู„ ุณูŠุฌู…ุง ุฃู†ุง ุฃุฎุชุงุฑ ู‡ุฐุง ูŠู…ูƒู†ูƒ ุฃู† ุชุฎุชุงุฑ
1779
+
1780
+ 515
1781
+ 00:45:39,490 --> 00:45:45,610
1782
+ ุฃูŠุถุง ูˆุงุญุฏุฉ ู„ุฐุง ุจูŠุจู‚ู‰ ุฃูƒุณ ุงูƒุจุฑ ู…ู† 17 ูŠู‚ู„ 7% ู…ุฑุฉ
1783
+
1784
+ 516
1785
+ 00:45:45,610 --> 00:45:49,250
1786
+ ุฃุฎุฑู‰ุŒ ุงู„ู…ุฌู„ุฏ ูŠุนุทูŠ ุงู„ู…ู†ุทู‚ุฉ ู„ู„ุฌู‡ุฉ ุงู„ูŠุณุฑู‰ุŒ ู„ุฐู„ูƒ ุจูŠุจูƒุณ
1787
+
1788
+ 517
1789
+ 00:45:49,250 --> 00:45:54,350
1790
+ ุฃูƒุจุฑ ู…ู† 17 ูŠู‚ู„ 0.93. ุงู„ุขู†ุŒ ุฅุฐุง ุชู†ุธุฑ ุฅู„ู‰ ุฌุณู…
1791
+
1792
+ 518
1793
+ 00:45:54,350 --> 00:46:00,570
1794
+ ุงู„ู…ุฌู„ุฏุŒ ู„ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉุŒ ู‚ูŠู…ุชู‡ ุงู„ุฃู‚ู„ ู‡ูˆ 0.9306ุŒ 0
1795
+
1796
+ 519
1797
+ 00:46:00,570 --> 00:46:08,270
1798
+ .9306ุŒ ุงู„ู„ูŠ ูŠุชุฌุงูˆุฒ ุฅู„ู‰ 1.4 ุฃู‚ู„ 8. ู„ุฐู„ูƒุŒ ู‡ุฐุง ู‡ูˆ
1799
+
1800
+ 520
1801
+ 00:46:08,270 --> 00:46:13,320
1802
+ ู…ู‚ุงุฑู†ุฉ ุฒูŠ ู…ูŠุฒูŠุŒ 1.48. ู‡ุฐุง ูŠู‚ู„ 2 ุนู„ู‰ ุณูŠุฌู…ุง. ู„ู„ุญุตูˆู„
1803
+
1804
+ 521
1805
+ 00:46:13,320 --> 00:46:17,760
1806
+ ุนู„ู‰ ุณูŠุฌู…ุง ูู‚ุท ู†ุถูŠู .. ุฃุนู†ูŠ ุนุจุฑ ุงู„ู…ุฒูŠุฏูŠุฉ ู†ุญุตู„ ุนู„ู‰
1807
+
1808
+ 522
1809
+ 00:46:17,760 --> 00:46:22,640
1810
+ 1.48 ุณูŠุฌู…ุง ุฃูƒุจุฑ ู…ู† 2 ุซู… ุฃุฎูŠุฑู‹ุง ุณูŠุฌู…ุง ุฃูƒุจุฑ ู…ู† 1.35
1811
+
1812
+ 523
1813
+ 00:46:22,640 --> 00:46:26,060
1814
+ ุณุคุงู„ูŠู†
1815
+
1816
+ 524
1817
+ 00:46:26,060 --> 00:46:30,180
1818
+ .. ุชุนู„ูŠู‚ุงุช ..
1819
+
1820
+ 525
1821
+ 00:46:30,180 --> 00:46:35,140
1822
+ ุณุฃุนุทูŠูƒ ู‡ุฐุง ุงู„ู€ Z ุŒ ุงู„ู€ positive ุตุญูŠุญุŸ
1823
+
1824
+ 526
1825
+ 00:46:35,140 --> 00:46:39,720
1826
+ ุฃูŠ ุณุคุงู„ุŸ ุฏุนู†ุง
1827
+
1828
+ 527
1829
+ 00:46:39,720 --> 00:46:45,110
1830
+ ู†ุฌุฑุจ ู„ูˆ ุฃุฎุฐู†ุง ุฃูŠ ูˆุงุญุฏุฉ .. ุจุณ ุฎุฏ ูˆุงุญุฏุฉ ุณู‡ู„ุฉ ูŠุนู†ูŠ ..
1831
+
1832
+ 528
1833
+ 00:46:45,110 --> 00:46:48,210
1834
+ ูŠุนู†ูŠ ุชุบู„ุจูŠุด ุญุงู„ูƒ ููŠ ุงู„ .. ุฎู„ูŠู†ุง ู†ุงุฎุฏ ูˆุงุญุฏุฉ ุซุงู†ูŠุฉุŒ
1835
+
1836
+ 529
1837
+ 00:46:48,210 --> 00:46:52,710
1838
+ ุจุฑุถู‡ ุณุคุงู„ูƒ ูƒูˆูŠุณ ุฒู…ูŠู„ุชูƒ ุงู„ู„ูŠ ุจุชุณุฃู„ ู†ุงุฎุฏ ูˆุงุญุฏุฉ ุซุงู†ูŠุฉ
1839
+
1840
+ 530
1841
+ 00:46:52,710 --> 00:46:57,690
1842
+ ุงูŠุด ุทู„ุน ู…ุนู†ู‰ ูˆุงุญุฏุฉ ู‡ุงุฏุฉุŒ ู†ูุชุฑุถ ุจูŠ ุฅูƒุณ ุฃูƒุจุฑ
1843
+
1844
+ 531
1845
+ 00:46:57,690 --> 00:47:03,890
1846
+ than ุจูŠ equal twenty and ุจูŠ was sixteenุŒ ู…ุธุจูˆุทุŸ
1847
+
1848
+ 532
1849
+ 00:47:03,890 --> 00:47:04,710
1850
+ ุฎู„ูŠู†ุง ู†ุญู„ ุนู„ูŠู‡ุง
1851
+
1852
+ 533
1853
+ 00:47:10,760 --> 00:47:19,840
1854
+ ุจุนูŠุฏุง ุจูŠ ู ุฅูƒุณ ุฃู‚ู„ ู…ู† 16 ูŠู‚ู„ ู„ู€ 20% ุจูŠ
1855
+
1856
+ 534
1857
+ 00:47:19,840 --> 00:47:25,920
1858
+ ู ุฅูƒุณ ุฃู‚ู„ ู…ู† 16 ูŠู‚ู„ ู„ู€ 80% ุงู„ุขู† ุงู†ุธุฑ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ
1859
+
1860
+ 535
1861
+ 00:47:25,920 --> 00:47:33,940
1862
+ ู„ู„ู…ู‚ุงุฏู…ุฉ ุงู„ุฃู‚ู„ูŠุฉ ู„ู€ 0.80 ู†ุญู†
1863
+
1864
+ 536
1865
+ 00:47:33,940 --> 00:47:36,720
1866
+ ู„ุฏูŠู†ุง ู‡ุฐุง 0.7995
1867
+
1868
+ 537
1869
+ 00:47:41,150 --> 00:47:45,750
1870
+ ุฃู†ุง ุจุฏูˆุฑ ุนู„ู‰ ุงู„ 8 ู…ู† ุงู„ุนุดุฑุฉ ุฌูˆุง ููŠู‡ ุฃู‚ุฑุจ ู…ู†ู‡ุง ู‡ุฐุง
1871
+
1872
+ 538
1873
+ 00:47:45,750 --> 00:47:53,930
1874
+ ุจุนุฏ ุดูˆูŠุฉ ู…ุด ู‡ูŠูƒ ุฅุฐุง ู†ุดูŠู„ ุฌูˆุงุจ ุญูˆู„ุช ู„ู„ z score 0.84
1875
+
1876
+ 539
1877
+ 00:47:53,930 --> 00:48:00,030
1878
+ mean equal 15 over sigma equal point eight so
1879
+
1880
+ 540
1881
+ 00:48:00,030 --> 00:48:05,510
1882
+ again one over sigma equal eighty percent now my z
1883
+
1884
+ 541
1885
+ 00:48:05,510 --> 00:48:08,350
1886
+ score again is point eight four
1887
+
1888
+ 542
1889
+ 00:48:11,060 --> 00:48:16,040
1890
+ ู‡ุฐุง ูŠุนู†ูŠ ูˆุงุญุฏ ุนุจุฑ ุณูŠุฌู…ุง ุฅุฐุง ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1891
+
1892
+ 543
1893
+ 00:48:16,040 --> 00:48:18,860
1894
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1895
+
1896
+ 544
1897
+ 00:48:18,860 --> 00:48:21,420
1898
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1899
+
1900
+ 545
1901
+ 00:48:21,420 --> 00:48:21,760
1902
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1903
+
1904
+ 546
1905
+ 00:48:21,760 --> 00:48:22,600
1906
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1907
+
1908
+ 547
1909
+ 00:48:22,600 --> 00:48:23,940
1910
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1911
+
1912
+ 548
1913
+ 00:48:23,940 --> 00:48:26,720
1914
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
1915
+
1916
+ 549
1917
+ 00:48:26,720 --> 00:48:36,580
1918
+ ุนุจุงุฑุฉ
1919
+
1920
+ 550
1921
+ 00:48:43,800 --> 00:48:49,040
1922
+ ุทูŠุจ ุงูŠุด ุงู„ุฎุทุฃ ูˆูŠู†ุŸ ู‡ุฐุง ุจูŠ ูƒุงู† ุงู„ 16 ู…ุธุจูˆุท ุงูƒุณ
1923
+
1924
+ 551
1925
+ 00:48:49,040 --> 00:49:01,040
1926
+ greater than 16 equal to twenty percent ุทูŠุจ
1927
+
1928
+ 552
1929
+ 00:49:01,040 --> 00:49:01,920
1930
+ ุงูŠุด ุงู„ุฎุทุฃ ูˆูŠู†ุŸ
1931
+
1932
+ 553
1933
+ 00:49:11,770 --> 00:49:17,490
1934
+ ู‡ุฐุง 1.35 P of X greater than P ุงูŠุด ูƒุงู† ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ
1935
+
1936
+ 554
1937
+ 00:49:17,490 --> 00:49:25,050
1938
+ ุทู„ุนู†ุงู‡ ุงู„ู…ุซุงู„
1939
+
1940
+ 555
1941
+ 00:49:25,050 --> 00:49:27,630
1942
+ ุงู„ู„ูŠ ูุงุชุช ุงูŠุด ุทู„ุน ุงู„ุฌูˆุงุจ P greater X greater than
1943
+
1944
+ 556
1945
+ 00:49:27,630 --> 00:49:34,460
1946
+ P ูƒุงู† 16 ู…ุธุจูˆุท ุทุจ ู‡ูŠ 16 ู†ู‚ุณู…ูŠู‡ ุนู„ู‰ ุณูŠุฌู…ุง one over
1947
+
1948
+ 557
1949
+ 00:49:34,460 --> 00:49:38,560
1950
+ sigma ู…ู…ูƒู†
1951
+
1952
+ 558
1953
+ 00:49:38,560 --> 00:49:41,300
1954
+ approximate answer ุตุญูŠุญ ู‡ูˆ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ููŠ ุงู„ูƒุชุงุจ
1955
+
1956
+ 559
1957
+ 00:49:41,300 --> 00:49:46,540
1958
+ ุงู„ู„ูŠ ููŠ ุงู„ table point seven nine nine five ู„ูˆ
1959
+
1960
+ 560
1961
+ 00:49:46,540 --> 00:49:53,640
1962
+ ุฃุฎุฏุชู‡ุง point eight five ู…ุด ู‡ูŠุทู„ุน ุงู„ูุฑู‚ ุจูŠุทู„ุน
1963
+
1964
+ 561
1965
+ 00:49:53,640 --> 00:49:57,380
1966
+ ุฃู‚ู„ ูˆุงุญุฏ point seventeen is not the closest answer
1967
+
1968
+ 562
1969
+ 00:49:57,380 --> 00:50:03,530
1970
+ this is equal one point nineteen ุงู„ุฅุฌุงุจุฉ ุชุนุชู…ุฏ ุนู„ู‰
1971
+
1972
+ 563
1973
+ 00:50:03,530 --> 00:50:09,710
1974
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุตุญูŠุญุฉ ู„ุฌู…ุนู†ุง ูˆุงุถุญ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฅู†ู‡
1975
+
1976
+ 564
1977
+ 00:50:09,710 --> 00:50:17,510
1978
+ ู…ุงุนู†ุฏูŠุด ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ ู„ุฌู…ุนู†ุง ู„ุฃู†ู†ุง ู†ุจุญุซ ุนู† 0.80% ูˆ 0
1979
+
1980
+ 565
1981
+ 00:50:17,510 --> 00:50:22,430
1982
+ .7995 ู„ุฃู†
1983
+
1984
+ 566
1985
+ 00:50:22,430 --> 00:50:25,650
1986
+ ุงู„ุฌุฏูˆู„ ู„ุง ูŠุนุทูŠู†ุง ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ ุตุญูŠุญุฉ ุทู„ุน ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
1987
+
1988
+ 567
1989
+ 00:50:25,650 --> 00:50:30,170
1990
+ ูˆุงุญุฏ 1.35 ูˆุงู„ุซุงู†ูŠ 1.19 ูŠุนู†ูŠ ู„ูŠุณ ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ
1991
+
1992
+ 568
1993
+ 00:50:34,330 --> 00:50:36,430
1994
+ ุฎู„ุงุต So that's all for today
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/RxcHSWCj7U8_postprocess.srt ADDED
@@ -0,0 +1,1768 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,010
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู†ุจุฏุฃ ุญู„ู‚ุฉ
4
+
5
+ 2
6
+ 00:00:24,010 --> 00:00:30,490
7
+ ุฌุฏูŠุฏุฉ ุญู„ู‚ุฉ 6 ุชุชูƒู„ู… ุนู† ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ุดุงุฑูƒุงุช ุงู„ุนุงู…ุฉ ููŠ
8
+
9
+ 3
10
+ 00:00:30,490 --> 00:00:37,990
11
+ ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุงุณู…ู‡ุง ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ ุญู„ู‚ุฉ
12
+
13
+ 4
14
+ 00:00:37,990 --> 00:00:43,750
15
+ 6 ุงู„ู…ุดุงุฑูƒุฉ
16
+
17
+ 5
18
+ 00:00:43,750 --> 00:00:45,230
19
+ ุงู„ุทุจูŠุนูŠุฉ
20
+
21
+ 6
22
+ 00:00:52,820 --> 00:00:54,740
23
+ ุงู„ุงู† ู…ุงุฐุง ูŠุนู†ูŠ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
24
+
25
+ 7
26
+ 00:00:54,740 --> 00:00:57,180
27
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
28
+
29
+ 8
30
+ 00:00:57,180 --> 00:00:59,640
31
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
32
+
33
+ 9
34
+ 00:00:59,640 --> 00:01:00,020
35
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
36
+
37
+ 10
38
+ 00:01:00,020 --> 00:01:01,640
39
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
40
+
41
+ 11
42
+ 00:01:01,640 --> 00:01:03,280
43
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
44
+
45
+ 12
46
+ 00:01:03,280 --> 00:01:03,620
47
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
48
+
49
+ 13
50
+ 00:01:03,620 --> 00:01:08,800
51
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
52
+
53
+ 14
54
+ 00:01:08,800 --> 00:01:14,440
55
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุน
56
+
57
+ 15
58
+ 00:01:22,100 --> 00:01:29,000
59
+ around the mean and all measures of centered
60
+
61
+ 16
62
+ 00:01:29,000 --> 00:01:35,680
63
+ tendency are roughly equal I mean mean, median and
64
+
65
+ 17
66
+ 00:01:35,680 --> 00:01:41,900
67
+ mode are roughly equal ุชู‚ุฑูŠุจุง ู…ุชุณุงูˆูŠุฉ ุงุฐุง ุงู„ mean
68
+
69
+ 18
70
+ 00:01:41,900 --> 00:01:49,180
71
+ equal median equal modeู„ุฐู„ูƒ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงุฏู‰ ูŠุญุชูˆูŠ
72
+
73
+ 19
74
+ 00:01:49,180 --> 00:01:57,580
75
+ ุนู„ู‰ ุซู„ุงุซ ู…ูŠุฒุงู†ูŠู† ูŠุจุฏูˆ ู…ุซู„ู‹ุง ุจูŠู„ ุดูŠุจุฏ ู…ูŠุฒุงู†ูŠ ุญูˆู„
76
+
77
+ 20
78
+ 00:01:57,580 --> 00:02:06,140
79
+ ุงู„ู…ูŠุงู† ูˆูƒู„ ู…ูŠุฒุงู†ูŠ ุงู„ุชุฌุงุฑุจ ุชู‚ุฑูŠุจู‹ุง ุฃูˆ ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ู‹ุง
80
+
81
+ 21
82
+ 00:02:09,770 --> 00:02:14,490
83
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุจุขูŠุฉ ู‚ุฑุฃู†ูŠุฉ ุจุชูุณุฑ
84
+
85
+ 22
86
+ 00:02:14,490 --> 00:02:17,250
87
+ ุงู„ู…ุนู†ู‰ ู„ู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠุŒ ุงู„ู…ูู‡ูˆู… ุชุจุน ุงู„ุชูˆุฒูŠุน
88
+
89
+ 23
90
+ 00:02:17,250 --> 00:02:23,850
91
+ ุงู„ุทุจูŠุนูŠ ููŠ ุงู„ุตูˆุฑุฉ .. ุฅูŠู‡ ุงู„ู„ูŠ ูƒุชุนุฑููŠู‡ุง ูŠุนู†ูŠ ู„ู„ุนู„ู…
92
+
93
+ 24
94
+ 00:02:23,850 --> 00:02:30,170
95
+ ุจุงู„ุดูŠุกุŸ ุตูˆุฑุฉ ุงู„ุฑูˆู…ุŒ ุขูŠุฉ 54 ุงู„ู„ู‡
96
+
97
+ 25
98
+ 00:02:30,170 --> 00:02:31,810
99
+ ุงู„ุฐูŠ ุฎู„ู‚ูƒู… ู…ู† ุถุนู
100
+
101
+ 26
102
+ 00:02:37,980 --> 00:02:40,840
103
+ ู„ุญุธุฉ ุถุนู ูŠุนู†ูŠ ุงู„ุจุฏุงูŠุฉ ุฎุงู„ุต ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
104
+
105
+ 27
106
+ 00:02:40,840 --> 00:02:45,700
107
+ ู‡ู†ุง ุจุชุนุฑู ู„ุญุธุฉ ุจูŠู†ูŠ ูˆู„ุง ุฏู‡ ุตุบูŠุฑ ูŠุนู†ูŠ ูˆู„ุง ุฏู‡ ุตุบูŠุฑ
108
+
109
+ 28
110
+ 00:02:45,700 --> 00:02:52,380
111
+ ุจุนุฏูŠู† ู…ุงุจุจุฏุงูŠุด ุจูŠูƒุจุฑ ุดูˆูŠุฉ ุดูˆูŠุฉ ู„ุบุงูŠุฉ ู…ุง ูŠุตู„ ูˆูŠู†
112
+
113
+ 29
114
+ 00:02:52,380 --> 00:02:58,700
115
+ ุงู„ู‚ู…ุฉ ู…ุฑุงุญุฉ ุงู„ุดุจุงุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ู‡ ุงู„ุฐูŠ ุฎู„ู‚ูƒู…
116
+
117
+ 30
118
+ 00:02:58,700 --> 00:03:04,200
119
+ ู…ู† ุถุนู ุซู… ุฌุนู„ู‡ ู…ู† ุจุนุฏ ุถุนู ู‚ูˆุฉ
120
+
121
+ 31
122
+ 00:03:07,210 --> 00:03:11,950
123
+ ู„ุฐู† ุงู„ุชูˆุฒูŠุน ุจูŠุจุฏุฃ ุตุบูŠุฑุŒ ุจุนุฏูŠู† ุจูŠุจุฏุฃ ุจุงู„ุชุณุงุนุฏ ู„ุบุงูŠุฉ
124
+
125
+ 32
126
+ 00:03:11,950 --> 00:03:20,590
127
+ ู…ุง ูŠุญุตู„ ุงู„ู‚ู…ุฉ ุชุจุนุชู‡ุŒ ุซู… ุฌุนู„ู‡ ู…ู† ุจุนุฏ ู‚ูˆุฉุŒ ุงู„ู‚ูˆุฉ
128
+
129
+ 33
130
+ 00:03:20,590 --> 00:03:28,590
131
+ ุงู„ู„ูŠ ู‡ู†ุงุŒ ุชูŠุฌูŠ ุถุนู ู‡ู†ุงุŒ ูˆ ู…ุด ุจุนุฏ ุงู„ุถุนูุŒ ุดูŠุจุฉุŒ ุซู…
132
+
133
+ 34
134
+ 00:03:28,590 --> 00:03:33,730
135
+ ุฌุนู„ู‡ ุจุนุฏ ู‚ูˆุฉุŒ ุถุนู ูˆ ุดูŠุจุฉ
136
+
137
+ 35
138
+ 00:03:37,660 --> 00:03:42,400
139
+ ุจุงู„ุธุจุท ู‡ุฐู‡ ุฏูˆุฑุฉ ุญูŠุงุฉ ุงู„ุฅู†ุณุงู†ุŒ ู…ุด ู‡ูŠูƒุŸ ุฏูˆุฑุฉ ุญูŠุงุฉ ุฃูŠ
140
+
141
+ 36
142
+ 00:03:42,400 --> 00:03:46,620
143
+ ูˆุงุญุฏุŒ ุฅู†ุณุงู† ูˆุบูŠุฑ ุฅู†ุณุงู†ุŒ ุจูŠุจุฏูˆ ุตุบูŠุฑุŒ ุจูŠูƒุจุฑ ุชุฏุฑูŠุฌูŠุŒ
144
+
145
+ 37
146
+ 00:03:46,620 --> 00:03:52,480
147
+ ุจูŠุตู„ ู„ู„ู‚ู…ุฉุŒ ูˆ ุจุนุฏูŠู† ุจูŠู†ุชู‡ูŠุŒ ูุทู„ุนุช ู…ุซู„ุง ุจูŠุตู„ ู„ู„ู‚ู…ุฉุŒ
148
+
149
+ 38
150
+ 00:03:52,480 --> 00:03:59,640
151
+ ู†ูุชุฑุถ ุฃู† ู‡ูŠ ุฑุจุนูŠู† ุณู†ุฉ ุชู‚ุฑูŠุจุงุŒ ู…ุด ู‡ูŠูƒุŸ
152
+
153
+ 39
154
+ 00:03:59,640 --> 00:04:05,600
155
+ ุจุนุฏ ุงู„ุนู„ู…ูŠุฉ ุจูŠุจุฏูˆ ูˆุงุญุฏ ุนุงูŠุดุŒ ูŠูƒุจุฑ ูˆ ุจุฎู„ุตู„ูˆ ูƒุงู†
156
+
157
+ 40
158
+ 00:04:05,600 --> 00:04:08,440
159
+ ุงู„ุงุฑุจุนูŠู† ููŠ ุงู„ู…ุชุตู ุจุณู…ูŠู‡ symmetric distribution
160
+
161
+ 41
162
+ 00:04:08,440 --> 00:04:13,960
163
+ ุชูˆุฒูŠุน ู…ุชู…ุซู„ ู…ุน ูƒุฏู‡ ุงูŠุด ู…ุชู…ุซู„ ูŠุนู†ูŠ ุงู„ area to the
164
+
165
+ 42
166
+ 00:04:13,960 --> 00:04:20,400
167
+ right equals area to the left ู…ุน ูƒุฏู‡ the minimum
168
+
169
+ 43
170
+ 00:04:20,400 --> 00:04:24,660
171
+ splits the curve into two equal pieces ุงุชู†ูŠู† ุฒูŠ
172
+
173
+ 44
174
+ 00:04:24,660 --> 00:04:29,500
175
+ ุจุนุถ ูˆุงุญุฏ ุงู„ right ูˆุงู„ุชุงู†ูŠ ุงู„ left ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ุฃูˆู„
176
+
177
+ 45
178
+ 00:04:29,500 --> 00:04:34,550
179
+ ุฃูƒุชุฑ ุชูˆุฒูŠุน ู…ุนุฑูˆู ุงู„ normal distributionูˆู‡ุฐุง ู‡ุงุฑูƒุฒ
180
+
181
+ 46
182
+ 00:04:34,550 --> 00:04:37,110
183
+ ุนู„ูŠู‡ ุทุจุนุง ุงู†ุช ุจุงู„ู†ุณุจุงู„ูƒ ู…ู‡ู… ุฌุฏุง ุงู†ุช ูุงู‡ู…ูŠู† ุงู†ู‡
184
+
185
+ 47
186
+ 00:04:37,110 --> 00:04:40,950
187
+ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ ูƒู„ ุงู„ chapters ุงู„ู„ูŠ ุฌุงูŠุฉ ูŠุนู†ูŠ ู„ุบุงูŠุฉ ู…ุง
188
+
189
+ 48
190
+ 00:04:40,950 --> 00:04:46,130
191
+ ูŠุฎู„ุต ุงู„ semester ูƒู„ ุดุบู„ ุนู„ู‰ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ so now
192
+
193
+ 49
194
+ 00:04:46,130 --> 00:04:48,970
195
+ let's start what are the objectives for this
196
+
197
+ 50
198
+ 00:04:48,970 --> 00:04:52,590
199
+ distribution mainly for this chapter there are
200
+
201
+ 51
202
+ 00:04:52,590 --> 00:04:58,410
203
+ three features or three objectives one to compute
204
+
205
+ 52
206
+ 00:04:58,410 --> 00:05:01,670
207
+ probabilities from the normal distribution ุจุชุญุณุจ
208
+
209
+ 53
210
+ 00:05:01,670 --> 00:05:06,520
211
+ ุงุญุชู…ุงู„ู‡ุงุซุงู†ูŠู‹ุงุŒ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ
212
+
213
+ 54
214
+ 00:05:06,520 --> 00:05:12,140
215
+ ู„ุชุญุณูŠู† ุชุทุจูŠู‚ุงุช ุญู‚ูŠู‚ูŠุฉ ุงู„ุญูŠุงุฉ ููŠ ุงู„ู…ุนุงู…ู„ุงุชุŒ ุฎุตูˆุตู‹ุง
216
+
217
+ 55
218
+ 00:05:12,140 --> 00:05:16,340
219
+ ููŠ ุงู„ุดุฑูƒุฉุŸ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ
220
+
221
+ 56
222
+ 00:05:16,340 --> 00:05:21,980
223
+ ู„ุชุญุณูŠู† ุงู„ู…ุดุงูƒู„ ููŠ ุงู„ุดุฑูƒุฉุŸ ูˆุฃุฎูŠุฑู‹ุงุŒ ุณู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง
224
+
225
+ 57
226
+ 00:05:21,980 --> 00:05:27,000
227
+ ุงุณุชุฎุฏุงู… ุดูŠุก ูŠุณู…ู‰ ุจูˆุงุณุทุฉ ุงู„ูˆุงู‚ุนูŠุฉ ุงู„ุทุจูŠุนูŠุฉ ู„ุชุญุณูŠู†
228
+
229
+ 58
230
+ 00:05:27,000 --> 00:05:31,260
231
+ ู…ุง ุฅุฐุง ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุจูŠุงู†ุงุช ู…ู‚ุงุฑู†ุฉ ุจุดูƒู„ ุทุจูŠุนูŠุŸ
232
+
233
+ 59
234
+ 00:05:34,690 --> 00:05:41,210
235
+ ุจุชุฐูƒุฑ ุงู†ู†ุง ุงุณุชุฎุฏู…ู†ุง ุงู„ู€ z-score ู„ุชุชุฃูƒุฏ
236
+
237
+ 60
238
+ 00:05:41,210 --> 00:05:47,130
239
+ ุงู† ุงูŠ ู‚ูŠู…ุฉ ูƒุงู†ุช
240
+
241
+ 61
242
+ 00:05:47,130 --> 00:05:56,990
243
+ ุชุนุชุจุฑ ุงูƒุชุฑูŠู… ุงูˆ ุงูˆุงุช ู„ูŠุฑ ุจุธุจุท ูŠุนู†ูŠ ููŠ ุงู„ู€ chapter
244
+
245
+ 62
246
+ 00:05:56,990 --> 00:06:01,710
247
+ 3 ุญูƒูŠู†ุง ุนู† ุงู„ูƒู„ุงู… ุงุณุชุฎุฏู…ู†ุง ุงู„ z-score ู„ูˆ ูƒุงู† ุนู†ุฏู‰
248
+
249
+ 63
250
+ 00:06:01,710 --> 00:06:04,870
251
+ data point ูˆุงุญุฏุฉ ู‚ูŠู…ุฉ ูˆุงุญุฏุฉูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู†
252
+
253
+ 64
254
+ 00:06:04,870 --> 00:06:10,910
255
+ ู‡ุฐุง ุงู„ูˆุถุน ุฃูˆ ู‡ุฐุง ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู…ูˆุฌูˆุฏ ุฃูˆ ู„ูŠุณ ู…ูˆุฌูˆุฏุŸ
256
+
257
+ 65
258
+ 00:06:10,910 --> 00:06:20,490
259
+ ู„ูƒู† ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ู…ุฑูƒุฒู†ุง ุนู„ู‰ ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ุงู„ุขู† ู‡ู„
260
+
261
+ 66
262
+ 00:06:20,490 --> 00:06:27,870
263
+ ู‡ุฐุง ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู…ุฌู…ูˆุนุฉ ุฃูˆ ู„ูŠุณุŸ ู†ุจุญุซ ุนู† ุงู„ุจูŠุงู†ุงุช
264
+
265
+ 67
266
+ 00:06:27,870 --> 00:06:33,710
267
+ ุชู…ุงู…ุฉุŒ ู„ุฐู„ูƒ ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุชู‡ู„ ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุทุจูŠุนูŠุฉ ุงูˆ
268
+
269
+ 68
270
+ 00:06:33,710 --> 00:06:37,750
271
+ ู„ูŠุณ ุทุจูŠุนูŠุฉุŸ ู‡ุฐุง ู‡ุฏูู†ุง ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ุŒ ู„ุฐู„ูƒ ููŠ ู‚ุตุฉ T
272
+
273
+ 69
274
+ 00:06:37,750 --> 00:06:43,330
275
+ ู†ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ูˆุงุญุฏุฉ ู‚ูŠู…ุฉ ู‡ู†ุง ู†ุฑูƒุฒ ุนู„ู‰ ุฌู…ูŠุน ู…ุฌู…ูˆุนุฉ
276
+
277
+ 70
278
+ 00:06:43,330 --> 00:06:47,810
279
+ ุงู„ุจูŠุงู†ุงุช ู‡ู„ ู‡ูŠ ุชู‚ุฑูŠุจุง ุทุจูŠุนูŠุฉ ุงูˆ ู„ูŠุณ ุทุจูŠุนูŠุฉุŸ ุณุฃุจุฏุฃ
280
+
281
+ 71
282
+ 00:06:47,810 --> 00:06:54,090
283
+ ู…ุน ุงู„ูˆุงุถุญุฉ ู„ุชู†ู…ูŠุฉ ุทุจูŠุนูŠุฉ ุซู… ุณู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ู…ู‡ู…ุฉ
284
+
285
+ 72
286
+ 00:06:54,090 --> 00:06:54,810
287
+ ุงู„ุฃูˆู„ู‰
288
+
289
+ 73
290
+ 00:06:57,570 --> 00:07:00,330
291
+ ู„ู†ุจุฏุฃ ู…ุน continuous probability distributions
292
+
293
+ 74
294
+ 00:07:31,070 --> 00:07:43,210
295
+ ููŠ ุงู„ุจูŠุงู†ุงุช ู‡ู†ุงูƒ ุงุชุฌุงุฑุงุช ู…ุฎุชู„ูุฉ ุชุณู…ู‰ ูƒุชู†ูˆุณ ูƒุชู†ูˆุณ
296
+
297
+ 75
298
+ 00:07:43,210 --> 00:07:50,910
299
+ ูƒุชู†ูˆุณ ูƒุชู†ูˆุณ ู‡ูŠ ูƒุชู†ูˆุณ ุชุณุชุฎุฏู… ุงูŠ ู‚ูŠู…ุฉ ุชุณุชุฎุฏู… ุงูŠ ู‚ูŠู…ุฉ
300
+
301
+ 76
302
+ 00:07:50,910 --> 00:07:54,410
303
+ ุชุณุชุฎุฏู…
304
+
305
+ 77
306
+ 00:07:54,410 --> 00:08:00,730
307
+ ุงูŠ ู‚ูŠู…ุฉ ุชุณุชุฎุฏู…ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู„ูˆ ูƒู†ุง ู†ุชูƒู„ู… ุนู†
308
+
309
+ 78
310
+ 00:08:00,730 --> 00:08:12,570
311
+ ุงู„ูˆุถุน ูˆ ู„ูˆ ุฃู† ุงู„ูˆุถุน ูŠุชุฌุงูˆุฒ ู…ู† 60 ูƒูŠู„ูˆ ุฌุฑุงู… ุฅู„ู‰ 75
312
+
313
+ 79
314
+ 00:08:12,570 --> 00:08:17,790
315
+ ูƒูŠู„ูˆ ุฌุฑุงู…ุŒ ูู…ุน ูƒู… ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ุจูŠู†ู‡ู…ุŸ
316
+
317
+ 80
318
+ 00:08:25,810 --> 00:08:31,630
319
+ how many values ุงู†ู‡ุง
320
+
321
+ 81
322
+ 00:08:31,630 --> 00:08:37,610
323
+ ู„ูˆ ุญูƒูŠุช ูˆุฒู†ู‡ุง ู…ู† 60 ู„ 75 ู…ู…ูƒู† ูˆุงุญุฏ ูŠูƒูˆู† ูˆุฒู†ู‡ 63.5
324
+
325
+ 82
326
+ 00:08:37,610 --> 00:08:47,190
327
+ ู…ู…ูƒู† ูˆุงุญุฏ ูŠูƒูˆู† ูˆุฒู†ู‡ 69.980 ูŠุนู†ูŠ ูƒุชูŠุฑ ูŠุนู†ูŠ ู…ุน ูƒุฏู‡
328
+
329
+ 83
330
+ 00:08:47,190 --> 00:08:51,710
331
+ there are infinite values
332
+
333
+ 84
334
+ 00:08:51,710 --> 00:08:57,270
335
+ in this case ุนุฏุฏ ู„ุงู†ู‡ูŠ ุจุงู„ู‚ูŠุงู…ู„ูˆ ุญูƒูŠุชู„ูƒ ุงู„
336
+
337
+ 85
338
+ 00:08:57,270 --> 00:09:00,350
339
+ cellphone ุงู„ู„ูŠ ู…ุนู†ุงู‡ ุงู„ุฌูˆุงู„ุงุช ุงู„ุณู…ูƒ ุชุจุนู‡ุง
340
+
341
+ 86
342
+ 00:09:00,350 --> 00:09:06,870
343
+ thickness ู…ูุชุฑุถ ู…ู† one centimeter to three
344
+
345
+ 87
346
+ 00:09:06,870 --> 00:09:11,490
347
+ centimeters how many values are between one and
348
+
349
+ 88
350
+ 00:09:11,490 --> 00:09:15,830
351
+ three infinite numbers suppose we are talking
352
+
353
+ 89
354
+ 00:09:15,830 --> 00:09:20,310
355
+ about temperature from
356
+
357
+ 90
358
+ 00:09:20,310 --> 00:09:27,460
359
+ suppose 36 up to 40it could be 36.1.2.3 and so on
360
+
361
+ 91
362
+ 00:09:27,460 --> 00:09:31,200
363
+ so there are infinite number of values so a
364
+
365
+ 92
366
+ 00:09:31,200 --> 00:09:33,960
367
+ continuous variable is a variable can take or can
368
+
369
+ 93
370
+ 00:09:33,960 --> 00:09:38,060
371
+ assume any value ุงูŠู‡ ู„ูˆ ุงูŠ ู‚ูŠู…ุฉ for example
372
+
373
+ 94
374
+ 00:09:38,060 --> 00:09:42,900
375
+ thickness of an item ุณู…ูƒ ู„ุดุบู„ ู…ุนูŠู†ุฉ time required
376
+
377
+ 95
378
+ 00:09:42,900 --> 00:09:46,320
379
+ to complete a task ุงู„ูˆู‚ุช ุงู„ู„ูŠ ู„ุงุฒู… ุฃูˆ ุงู„ูˆู‚ุช ุงู„ู„ูŠ
380
+
381
+ 96
382
+ 00:09:46,320 --> 00:09:50,100
383
+ ู„ุงุฒู… ุชุฎู„ุต ู…ู‡ู…ุฉ ุงูˆ ุงู†ุฌุงุฒ ู…ู‡ู…ุฉ ู…ู…ูƒู† ุงู„ุฒู…ู† could be
384
+
385
+ 97
386
+ 00:09:50,100 --> 00:09:58,600
387
+ ุจุชุนุฑู ููŠ ุงู„ runningู…ุณุงุจู‚ุงุช ุงู„ุฌุฑูŠ ู…ู…ูƒู† ูŠุฎู„ุต ุงู„ู…ุณุงูุฉ
388
+
389
+ 98
390
+ 00:09:58,600 --> 00:10:03,900
391
+ ููŠ 10 second ูŠุนู†ูŠ
392
+
393
+ 99
394
+ 00:10:03,900 --> 00:10:10,260
395
+ 10.4 ู…ุน ูƒุฏู‡ ุฏู‡ ุนุจุงุฑุฉ ุนู† fraction ู…ู…ูƒู† 3.6 and so
396
+
397
+ 100
398
+ 00:10:10,260 --> 00:10:15,340
399
+ on so if we have a fraction it means we are
400
+
401
+ 101
402
+ 00:10:15,340 --> 00:10:17,800
403
+ talking about continuous
404
+
405
+ 102
406
+ 00:10:19,670 --> 00:10:23,190
407
+ height of a solution height in inches temperature
408
+
409
+ 103
410
+ 00:10:23,190 --> 00:10:27,550
411
+ of a solution these are values these values are
412
+
413
+ 104
414
+ 00:10:27,550 --> 00:10:31,450
415
+ infinite number I mean uncountable we cannot count
416
+
417
+ 105
418
+ 00:10:31,450 --> 00:10:34,230
419
+ these values ูˆุงุถุญ ูŠุนู†ูŠ ุงู„ variable ุงู„ู„ูŠ ุจูŠุงุฎุฏ ุฃูŠ
420
+
421
+ 106
422
+ 00:10:34,230 --> 00:10:40,470
423
+ ู‚ูŠู… ู†ุณู…ูŠู‡ continuous ู…ุชุตู„ ุงู„ type two ู…ุด ู‡ุชูƒู„ู…
424
+
425
+ 107
426
+ 00:10:40,470 --> 00:10:45,950
427
+ ุนู„ูŠู‡ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ discrete discrete
428
+
429
+ 108
430
+ 00:10:45,950 --> 00:10:53,100
431
+ variable ู…ุด ูŠุนู†ูŠ discretediscrete ู…ุนู†ุงู‡ ู…ู†ูุตู„ ุงูˆ
432
+
433
+ 109
434
+ 00:10:53,100 --> 00:11:00,340
435
+ ู…ุชู‚ุทุน ููŠ ุงู„ discrete ุจูŠุงุฎุฏ whole number whole
436
+
437
+ 110
438
+ 00:11:00,340 --> 00:11:05,540
439
+ number ูŠุนู†ูŠ ุนุฏุฏ ุตุญูŠุญ ู„ูˆ ุญูƒูŠุช there are sixty
440
+
441
+ 111
442
+ 00:11:05,540 --> 00:11:10,040
443
+ students in this class we cannot say there are
444
+
445
+ 112
446
+ 00:11:10,040 --> 00:11:13,620
447
+ sixty point five students in this class ุงุฐุง
448
+
449
+ 113
450
+ 00:11:13,620 --> 00:11:17,360
451
+ ุจูŠุงุฎุฏุงุด whole number another example suppose there
452
+
453
+ 114
454
+ 00:11:17,360 --> 00:11:26,390
455
+ arebetween zero to six accidents per
456
+
457
+ 115
458
+ 00:11:26,390 --> 00:11:31,150
459
+ week ู…ู† ุงู„ุตูุฑ ุงู„ุณุช ุญูˆู„ุช ููŠ ุงู„ุฃุณุจูˆุนูŠ ู…ูˆุฌูˆุฏ ุงูุชุฑุถ ููŠ
460
+
461
+ 116
462
+ 00:11:31,150 --> 00:11:35,230
463
+ intersection ู…ุนูŠู† suppose now you want to guess
464
+
465
+ 117
466
+ 00:11:35,230 --> 00:11:40,230
467
+ number between zero and six for
468
+
469
+ 118
470
+ 00:11:40,230 --> 00:11:44,490
471
+ example maybe four accidents maybe three accidents
472
+
473
+ 119
474
+ 00:11:44,490 --> 00:11:48,010
475
+ maybe five but you cannot say there are five point
476
+
477
+ 120
478
+ 00:11:48,010 --> 00:11:54,770
479
+ six accidentsper week ู…ุธุจูˆุท ุจู‚ุฏุฑุด ุงุญูƒูŠ ุฎู…ุณุฉ ูˆ ุณุชุฉ
480
+
481
+ 121
482
+ 00:11:54,770 --> 00:11:58,930
483
+ ุจุชุงุฎุฏ ุนุฏุฏ ุตุญูŠุญ now suppose we are talking about
484
+
485
+ 122
486
+ 00:11:58,930 --> 00:12:04,530
487
+ number of calls you received everyday ุนุฏุฏ
488
+
489
+ 123
490
+ 00:12:04,530 --> 00:12:09,370
491
+ ุงู„ู…ูƒุงู„ู…ุงุช ุงู„ู„ูŠ ุจุณุชู‚ุจู„ู‡ุง ููŠ ุงู„ูŠูˆู… ู…ุซู„ุง ranges from
492
+
493
+ 124
494
+ 00:12:09,370 --> 00:12:14,730
495
+ zero to twenty calls ุจุฑุถู‡ ู‡ูŠุงุฎุฏ whole number for
496
+
497
+ 125
498
+ 00:12:14,730 --> 00:12:19,490
499
+ instance suppose ten calls you cannot say nine
500
+
501
+ 126
502
+ 00:12:19,490 --> 00:12:20,370
503
+ point six calls
504
+
505
+ 127
506
+ 00:12:23,190 --> 00:12:27,070
507
+ ุจุดูƒู„ ุนุงู… ูŠูˆุฌุฏ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
508
+
509
+ 128
510
+ 00:12:27,070 --> 00:12:29,970
511
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
512
+
513
+ 129
514
+ 00:12:29,970 --> 00:12:34,050
515
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
516
+
517
+ 130
518
+ 00:12:34,050 --> 00:12:41,910
519
+ ุงุชุฌุงุฑุงุช
520
+
521
+ 131
522
+ 00:12:42,800 --> 00:12:45,760
523
+ ุงู„ู„ูŠ ุงู†ุง ู‡ูˆ ุจุญูƒูŠ ุฌู…ู„ุฉ ู…ู‡ู…ุฉ ููŠ ุงู„ุขุฎุฑ this can
524
+
525
+ 132
526
+ 00:12:45,760 --> 00:12:49,700
527
+ potentially take on any value depending only on
528
+
529
+ 133
530
+ 00:12:49,700 --> 00:12:52,400
531
+ the ability to precisely and accurately measure
532
+
533
+ 134
534
+ 00:12:52,400 --> 00:12:56,800
535
+ ุชุนุชู…ุฏ ุนู„ู‰ ุฌุฏุงุด ุนู†ุฏูƒ ุฏู‚ุฉ ุงู„ู‚ูŠุงุณ ู„ูˆ ูˆุงุญุฏ ุจุฌูŠุณ ุทูˆู„ูŠ
536
+
537
+ 135
538
+ 00:12:56,800 --> 00:13:08,380
539
+ ู…ูŠุฉ ู†ูุชุฑุถ ุจุฌูŠุณ ุตุญ ู‡ุญูƒูŠ ุทูˆู„ูŠ 160.75 cm it means
540
+
541
+ 136
542
+ 00:13:08,380 --> 00:13:08,900
543
+ height
544
+
545
+ 137
546
+ 00:13:11,710 --> 00:13:17,910
547
+ ู‡ูˆ ู…ุซุงู„ ู…ุณุชู…ุฑ ุฃูˆ ู…ุณุชู…ุฑุŸ ู…ุณุชู…ุฑ ูุงู„ู‚ูˆุฉ ู…ุณุชู…ุฑุฉุŒ ู…ุฎุตุตุฉ
548
+
549
+ 138
550
+ 00:13:17,910 --> 00:13:21,010
551
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
552
+
553
+ 139
554
+ 00:13:21,010 --> 00:13:26,090
555
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
556
+
557
+ 140
558
+ 00:13:26,090 --> 00:13:27,890
559
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
560
+
561
+ 141
562
+ 00:13:27,890 --> 00:13:39,050
563
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุต
564
+
565
+ 142
566
+ 00:13:40,870 --> 00:13:46,270
567
+ ุจูŠู„ ุดูŠุจุฏ ุดูƒู„ ุงู„ุฌุฑุณ ู…ุชู…ุซู„
568
+
569
+ 143
570
+ 00:13:46,270 --> 00:13:52,970
571
+ ู…ูŠู† ู…ูˆุฏ ู…ูŠุฏูŠุงู† ุงูˆ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
572
+
573
+ 144
574
+ 00:13:52,970 --> 00:13:53,050
575
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
576
+
577
+ 145
578
+ 00:13:53,050 --> 00:13:54,970
579
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
580
+
581
+ 146
582
+ 00:13:54,970 --> 00:13:56,430
583
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
584
+
585
+ 147
586
+ 00:13:56,430 --> 00:13:58,230
587
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
588
+
589
+ 148
590
+ 00:13:58,230 --> 00:14:10,470
591
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุช
592
+
593
+ 149
594
+ 00:14:11,480 --> 00:14:14,460
595
+ and is a measure of central tendency ู…ู‚ูŠุงุณ ู…ู†
596
+
597
+ 150
598
+ 00:14:14,460 --> 00:14:21,300
599
+ ู…ู‚ูŠู‘ุณ ุงู„ู†ุฒุน ุงู„ู…ุฑูƒุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ุฎุงู„ุต is
600
+
601
+ 151
602
+ 00:14:21,300 --> 00:14:27,060
603
+ a normal distribution has two parameters ู…ูŠูˆ
604
+
605
+ 152
606
+ 00:14:27,060 --> 00:14:35,560
607
+ this is location is a measure of spread sigma
608
+
609
+ 153
610
+ 00:14:37,880 --> 00:14:44,920
611
+ ูˆุงู„ู…ุนู†ู‰ ู‡ูˆ ู…ุฌู…ูˆุนุฉ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฌู…ูˆุนุฉ ู…ุฑูƒุฒูŠุฉ ุงูˆ
612
+
613
+ 154
614
+ 00:14:44,920 --> 00:14:47,480
615
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
616
+
617
+ 155
618
+ 00:14:47,480 --> 00:14:48,860
619
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
620
+
621
+ 156
622
+ 00:14:48,860 --> 00:14:50,020
623
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
624
+
625
+ 157
626
+ 00:14:50,020 --> 00:14:53,060
627
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
628
+
629
+ 158
630
+ 00:14:53,060 --> 00:14:53,360
631
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
632
+
633
+ 159
634
+ 00:14:53,360 --> 00:14:56,200
635
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
636
+
637
+ 160
638
+ 00:14:56,200 --> 00:15:05,870
639
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ู…ูƒู† ุชุฃุฎุฐ ุฃูŠ ู‚ูŠู…
640
+
641
+ 161
642
+ 00:15:05,870 --> 00:15:10,790
643
+ ู…ู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ุฅุถุงููŠ ุฅู„ู‰ ู†ู‚ู„ ุฅุถุงููŠ ู„ุฅูŠู‡ ุจูŠุงุฎุฏ ุฃูŠ
644
+
645
+ 162
646
+ 00:15:10,790 --> 00:15:14,790
647
+ ู‚ูŠู… ุณู„ุจ ู„ุนูŠุท plus ู„ุฃู†ู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏ ุงู„
648
+
649
+ 163
650
+ 00:15:14,790 --> 00:15:20,730
651
+ temperature ุงู„ temperature could be negative ู„ู…ุง
652
+
653
+ 164
654
+ 00:15:20,730 --> 00:15:27,230
655
+ ุงุชูƒู„ู… ุนู† ุงู„ sales is always positive if we are
656
+
657
+ 165
658
+ 00:15:27,230 --> 00:15:32,110
659
+ talking about unemployment unemployment
660
+
661
+ 166
662
+ 00:15:32,110 --> 00:15:33,490
663
+ rates
664
+
665
+ 167
666
+ 00:15:36,240 --> 00:15:40,080
667
+ ุจุงุฒูˆุชูŠู ูˆุนุฏู„ุงุช ุงู„ุจุทุงู„ุฉ ุฏูŠ ู‡ูŠ ุงู„ู…ู†ู…ูˆุฌุฉ ุจู‚ู‰ ู…ุงููŠุด
668
+
669
+ 168
670
+ 00:15:40,080 --> 00:15:44,560
671
+ ู…ุทุงู„ุจ ู†ูŠุฌุงุชูŠู ู„ูƒู†
672
+
673
+ 169
674
+ 00:15:44,560 --> 00:15:47,720
675
+ ุงุฐุง ุจุญูƒูŠ ุนู„ู‰ ู…ุซู„ุง ุงู„ temperature could be negative
676
+
677
+ 170
678
+ 00:15:47,720 --> 00:15:50,800
679
+ ุชุบูŠูŠุฑุงุช
680
+
681
+ 171
682
+ 00:15:50,800 --> 00:15:53,480
683
+ ุงู„ุญุฑุงุฑุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„ variable ูŠุงุฎุฏ plus or
684
+
685
+ 172
686
+ 00:15:53,480 --> 00:15:58,020
687
+ negative values ุงุฐุง random variable has an
688
+
689
+ 173
690
+ 00:15:58,020 --> 00:16:01,040
691
+ infinite theoretical range from minus infinity up
692
+
693
+ 174
694
+ 00:16:01,040 --> 00:16:05,400
695
+ to plus infinity now this is the meanุงู„ู‚ูŠู…ุฉ ููŠ
696
+
697
+ 175
698
+ 00:16:05,400 --> 00:16:12,400
699
+ ุงู„ุฃูˆุณุท ูˆุงู„ุณูŠุฌู…ุง ูู‚ุท ุงู„ู…ุดุฑูˆุน ุญูˆู„ ุงู„ู…ุตุทู„ุญ ุงู„ุขู† ุฅุฐุง
700
+
701
+ 176
702
+ 00:16:12,400 --> 00:16:16,060
703
+ ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐุง ุงู„ุณูŠุฌู…ุง ุฑุจู…ุง ุงู„ุณูŠุฌู…ุง ู…ุซู„ุง ู‡ูˆ ูˆุงุญุฏ
704
+
705
+ 177
706
+ 00:16:16,060 --> 00:16:21,680
707
+ ุฑุจู…ุง ุงู„ู…ุตุทู„ุญ ู‡ูˆ 50 ุฃูˆ 70 ูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ
708
+
709
+ 178
710
+ 00:16:21,680 --> 00:16:24,900
711
+ ู„ุฏูŠู†ุง
712
+
713
+ 179
714
+ 00:16:24,900 --> 00:16:29,920
715
+ ุงู„ูˆุถุน
716
+
717
+ 180
718
+ 00:16:29,920 --> 00:16:33,720
719
+ ุนุงุฏู‰ ุงู„ูˆุถุน ุนุงุฏู‰ ุงู„ูˆุถุน ุนุงุฏู‰ ุงู„ูˆุถุน
720
+
721
+ 181
722
+ 00:16:35,250 --> 00:16:41,250
723
+ ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู„ู† ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ู„ุชุญุฏูŠุซ ุงู„ู…ูŠุฒุฉ
724
+
725
+ 182
726
+ 00:16:41,250 --> 00:16:44,970
727
+ ูŠุนู†ูŠ ุงู„ู…ูŠุฒุฉ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุด ู‡ู†ุณุชุฎุฏู…ู‡ุง ู…ุฌุฑุฏ ูˆุญุทู‡ุง ููŠ
728
+
729
+ 183
730
+ 00:16:44,970 --> 00:16:48,410
731
+ ุงู„ูƒุชุงุจ ุงู†ู‡ ุนุฑูู‡ุง ุฏูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠุฒุฉ ู„ู†ูˆุฑู…ุงู„
732
+
733
+ 184
734
+ 00:16:48,410 --> 00:16:53,030
735
+ ุฏุณุชุฑุจูŠูˆุดู† ู„ุฐู„ูƒ ู†ู†ู‚ู„ ู‡ุฐุง ุงู„ุตูุญุฉ ูŠุนู†ูŠ ู…ุด ู‡ู†ุณุชุฎุฏู… ู‡ุฐุง
736
+
737
+ 185
738
+ 00:16:53,030 --> 00:16:57,390
739
+ ุงู„ุตูุญุฉ ุงู„ุตูุญุฉ
740
+
741
+ 186
742
+ 00:16:57,390 --> 00:16:58,530
743
+ ุงู„ู„ูŠ ูุงุชุช ู…ุด ู‡ู†ุงุฎุฏู‡ุง
744
+
745
+ 187
746
+ 00:17:01,790 --> 00:17:08,710
747
+ ุงู†ุธุฑูˆุง ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุฃุดูƒุงู„ ุฃูˆ ุฃุดูƒุงู„ A,B ูˆC ุงู†ุธุฑูˆุง
748
+
749
+ 188
750
+ 00:17:08,710 --> 00:17:14,150
751
+ ุญุฐุฑุงู‹ ู„ู€ A ูˆB ูˆุงู†ุธุฑูˆุง ุฅู„ู‰ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุฃุดูƒุงู„ A ูˆY
752
+
753
+ 189
754
+ 00:17:14,150 --> 00:17:23,290
755
+ ูˆB ุงู†ุธุฑูˆุง ุฅู„ู‰ ุงุชู†ูŠู† ู‡ุฐูŠู† ูƒู„ุงู‡ู…ุง ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู€mean
756
+
757
+ 190
758
+ 00:17:26,820 --> 00:17:31,540
759
+ ู…ุธุจูˆุท ู†ูุณ ุงู„ mean ู„ูƒู† ู„ูˆ ุทู„ุนุช ุนู„ูŠ ุงู„ spread a less
760
+
761
+ 191
762
+ 00:17:31,540 --> 00:17:38,500
763
+ a is less so graph a ุงู„ู„ูŠ ู‡ูˆ a ุงู„ higher one is
764
+
765
+ 192
766
+ 00:17:38,500 --> 00:17:45,280
767
+ less spread than b ู„ูˆ ุทู„ุนุช ุนู„ูŠู‡ู… ู‡ุงูŠ a ู†ูุชุฑุถ ู‡ุงูŠ
768
+
769
+ 193
770
+ 00:17:45,280 --> 00:17:50,000
771
+ ุงู„ spread ุชุจุนู‡ ุจุณ b ู…ุงู„ู‡ ุฃูƒุจุฑ ุดูˆูŠุฉ ูุจุงู„ุชุงู„ูŠ ู„ุฐุง
772
+
773
+ 194
774
+ 00:17:50,000 --> 00:17:55,000
775
+ ุดูˆูŠุฉ ู…ุน ูƒุฏู‡ graph a and b have the same mean but
776
+
777
+ 195
778
+ 00:17:55,000 --> 00:17:59,320
779
+ different spreadุฅุฐุงู‹ a ูˆ b ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู…ุนู†ู‰ ูˆู„ูƒู†
780
+
781
+ 196
782
+ 00:17:59,320 --> 00:18:08,280
783
+ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ุทุจ ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ b ูˆ ุงู„ c ุงู„
784
+
785
+ 197
786
+ 00:18:08,280 --> 00:18:12,020
787
+ b ู‡ูŠ ุงู„ b ูˆ ู‡ูŠ ุงู„ c ุงู„ c ุงู„ู„ูŠ ุชุญุช ุฎุงู„ุต ุงู„ bottom
788
+
789
+ 198
790
+ 00:18:12,020 --> 00:18:21,960
791
+ one ุงู„ ู…ุนู†ู‰ ุงู„ b ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุนู†ู‰ ุงู„ c ุจูŠุฎุชู„ู
792
+
793
+ 199
794
+ 00:18:21,960 --> 00:18:28,590
795
+ ูˆุงุถุญุชูŠู† ุฃุฒุงูŠ ุจุนุฏุŸุงู„ุฎุทุฉ a ูˆb ู„ุฏูŠู‡ุง ู…ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ู„ูˆ
796
+
797
+ 200
798
+ 00:18:28,590 --> 00:18:35,450
799
+ ุทู„ุนุช ุนู„ู‰ ุงู„ spread ุจุฑุถู‡ ุงู„ spread ู…ุฎุชู„ู ู„ุฃู† I ุจูŠ ูˆ
800
+
801
+ 201
802
+ 00:18:35,450 --> 00:18:38,890
803
+ I ุณูŠ ุจูŠ
804
+
805
+ 202
806
+ 00:18:38,890 --> 00:18:46,070
807
+ ูˆ ุณูŠ ู„ุฏูŠู‡ุง ู…ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ
808
+
809
+ 203
810
+ 00:18:46,070 --> 00:18:46,210
811
+ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ
812
+
813
+ 204
814
+ 00:18:46,210 --> 00:18:46,230
815
+ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ
816
+
817
+ 205
818
+ 00:18:46,230 --> 00:18:50,090
819
+ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ
820
+
821
+ 206
822
+ 00:18:54,370 --> 00:18:59,310
823
+ ุฑุจู…ุง ูŠูƒูˆู† ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู…ุนู†ู‰ ู„ูƒู†
824
+
825
+ 207
826
+ 00:18:59,310 --> 00:19:03,510
827
+ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ุฃูˆ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ูˆู…ุฎุชู„ูุฉ ุฃูŠุถู‹ุง
828
+
829
+ 208
830
+ 00:19:03,510 --> 00:19:08,310
831
+ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุณุชุทูŠุน ุงู„ุญุตูˆู„
832
+
833
+ 209
834
+ 00:19:08,310 --> 00:19:12,150
835
+ ุนู„ู‰ ู…ุฌู…ูˆุนุงุช ุนุงุฏูŠุฉ ุนุงุฏูŠุฉ
836
+
837
+ 210
838
+ 00:19:12,150 --> 00:19:15,850
839
+ ู„ู…ุงุฐุง
840
+
841
+ 211
842
+ 00:19:15,850 --> 00:19:25,010
843
+ ุนุงุฏูŠุฉุŸ ู„ุฃู† ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุนุงุฏูŠุฉ ุชุนุชู…ุฏ ุนู„ู‰ ู…ูŠูˆูˆุงู„ู…ุนู†ู‰
844
+
845
+ 212
846
+ 00:19:25,010 --> 00:19:29,810
847
+ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† positive ุฃูˆ negative ูŠุนู†ูŠ ุชุฃุฎุฐ ู‚ูŠู…ุฉ
848
+
849
+ 213
850
+ 00:19:29,810 --> 00:19:33,510
851
+ ู…ุฎุชู„ูุฉ ุฃูŠ ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ู…ู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ูˆู…ุน
852
+
853
+ 214
854
+ 00:19:33,510 --> 00:19:37,830
855
+ ุฐู„ูƒ ุงู„ูˆุถุน ุงู„ุนุงุฏู‰ ูŠุนุชู…ุฏ ุนู„ู‰ ุณูŠุฌู…ุง ูˆุณูŠุฌู…ุง ุฏุงุฆู…ุง
856
+
857
+ 215
858
+ 00:19:37,830 --> 00:19:43,090
859
+ positive ู…ู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„
860
+
861
+ 216
862
+ 00:19:43,090 --> 00:19:48,850
863
+ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง ุนุฏุฏ ุนุงุฏู‰ ู…ู† ุงู„ูˆุถุน ุงู„ุนุงุฏู‰ ูŠุนู†ูŠ
864
+
865
+ 217
866
+ 00:19:48,850 --> 00:19:52,580
867
+ ููŠ ู‡ู†ุง ุนุฏุฏ ูƒุจูŠุฑ ู„ุฃู† ู‡ูŠ ุฃู…ูŠู† ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠู„ูˆ
868
+
869
+ 218
870
+ 00:19:52,580 --> 00:19:56,740
871
+ ุทุงู„ู…ุง ุงู„ู€ mu ุจุชุงุฎุฏ ุฃูŠ ู‚ูŠู…ุฉ ูˆ ุงู„ sigma ุจุชุงุฎุฏ
872
+
873
+ 219
874
+ 00:19:56,740 --> 00:20:00,440
875
+ positive ู…ุน ูƒุฏู‡ ู„ูˆ ุงู†ุง ุจุฏูŠ ุงุนู…ู„ combination ู„ู‡ู…
876
+
877
+ 220
878
+ 00:20:00,440 --> 00:20:05,280
879
+ ู…ู…ูƒู† ุงุญูƒูŠ normal with mean 50 and sigma 1 ู‡ุฐุง ู‡ูˆ
880
+
881
+ 221
882
+ 00:20:05,280 --> 00:20:10,140
883
+ ู…ุซุงู„ ู…ู…ูƒู† ูˆุงุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠ ุงู„ mean the same the same
884
+
885
+ 222
886
+ 00:20:10,140 --> 00:20:17,200
887
+ mean but different sigma, sigma is twoุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู†
888
+
889
+ 223
890
+ 00:20:17,200 --> 00:20:22,420
891
+ ู…ุฎุชู„ู ูŠุนู†ูŠ ู…ูŠูˆ ูŠู‚ู„ ุณุชุฉ ูˆุณูŠุฌู…ุง ูŠู‚ู„ ุฃุฑุจุนุฉ ูู‡ุฐุง A
892
+
893
+ 224
894
+ 00:20:22,420 --> 00:20:27,920
895
+ ู…ุซู„ุง B ูˆC ูู‡ูˆ ูู‚ุท ุซู„ุงุซุฉ ู…ุซุงู„ A ูˆB ุงุฐุง ุชู†ุธุฑ ู‡ู†ุง A
896
+
897
+ 225
898
+ 00:20:27,920 --> 00:20:35,680
899
+ ูˆB ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู…ูŠุงู†ุจุนุฏ ุฐู„ูƒ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
900
+
901
+ 226
902
+ 00:20:35,680 --> 00:20:39,240
903
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
904
+
905
+ 227
906
+ 00:20:39,240 --> 00:20:43,600
907
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
908
+
909
+ 228
910
+ 00:20:43,600 --> 00:20:50,120
911
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
912
+
913
+ 229
914
+ 00:20:50,120 --> 00:20:54,860
915
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ
916
+
917
+ 230
918
+ 00:20:56,680 --> 00:20:58,280
919
+ ุจุณูŠุทุฉ ุนู„ู‰ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
920
+
921
+ 231
922
+ 00:20:58,280 --> 00:20:59,020
923
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
924
+
925
+ 232
926
+ 00:20:59,020 --> 00:21:00,460
927
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
928
+
929
+ 233
930
+ 00:21:00,460 --> 00:21:03,960
931
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
932
+
933
+ 234
934
+ 00:21:03,960 --> 00:21:07,200
935
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
936
+
937
+ 235
938
+ 00:21:07,200 --> 00:21:08,500
939
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
940
+
941
+ 236
942
+ 00:21:08,500 --> 00:21:15,580
943
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
944
+
945
+ 237
946
+ 00:21:15,580 --> 00:21:22,660
947
+ ุนู…ู„
948
+
949
+ 238
950
+ 00:21:22,750 --> 00:21:25,110
951
+ ุฅุฐุง ูƒุฏู‡ ุงู„ standard .. ุงู„ normal ุดูˆูŠุฉ ุตุนุจ
952
+
953
+ 239
954
+ 00:21:25,110 --> 00:21:31,270
955
+ ุจุงู„ู†ุณุจุงู„ู†ุง ู„ุฃู†ู‡ ุจูŠุงุฎุฏ ู…ูŠูˆุฒ ูˆ ุณูŠุฌู…ุงุฒ ู…ุฎุชู„ูุฉ ุจุงู„ู†ุญุงู„
956
+
957
+ 240
958
+ 00:21:31,270 --> 00:21:35,150
959
+ ุฃุณู‡ู„ ููŠ ุงู„ุชุนุงู…ู„ ู„ุณู‡ ุงู„ู„ูŠ ุงุญู†ุง ู†ุญูƒูŠ ุนู„ูŠู‡ ุงุณู…ู‡
960
+
961
+ 241
962
+ 00:21:35,150 --> 00:21:41,370
963
+ standardized normal ุฅูŠุด ูŠุนู†ูŠ standardized ู…ุนูŠุงุฑูŠ
964
+
965
+ 242
966
+ 00:21:41,370 --> 00:21:50,090
967
+ ู†ุชูƒู„ู… ุนู„ู‰ standardized normal
968
+
969
+ 243
970
+ 00:21:51,680 --> 00:22:00,060
971
+ ู‡ูˆ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุงู„ู…ุนูŠู† Now let's look at the
972
+
973
+ 244
974
+ 00:22:00,060 --> 00:22:04,220
975
+ difference between Normal distribution and this
976
+
977
+ 245
978
+ 00:22:04,220 --> 00:22:07,960
979
+ one Normal The one we just described Normal
980
+
981
+ 246
982
+ 00:22:07,960 --> 00:22:11,940
983
+ distribution Normal has different mean and sigma
984
+
985
+ 247
986
+ 00:22:11,940 --> 00:22:15,000
987
+ But
988
+
989
+ 248
990
+ 00:22:15,000 --> 00:22:20,180
991
+ for standardized normalany normal distribution ู‡ูˆ
992
+
993
+ 249
994
+ 00:22:20,180 --> 00:22:27,100
995
+ ุนุจุงุฑุฉ ุนู† ุชูˆุฒูŠุน ุทุจูŠุนูŠ with any mean and standard
996
+
997
+ 250
998
+ 00:22:27,100 --> 00:22:31,280
999
+ deviation combination can be transformed into the
1000
+
1001
+ 251
1002
+ 00:22:31,280 --> 00:22:34,900
1003
+ standardized normal ูŠุนู†ูŠ ุงู†ุง ุจุญูƒูŠ ุงูŠ ุชูˆุฒูŠุน normal
1004
+
1005
+ 252
1006
+ 00:22:34,900 --> 00:22:37,500
1007
+ ู…ู…ูƒู† ุงุญูˆู„ู‡ ู„ู…ูŠู†ุŸ ู„ู€ standardized ูˆู‡ุฐุง ุงู„ู„ูŠ ุงู†ุง
1008
+
1009
+ 253
1010
+ 00:22:37,500 --> 00:22:42,720
1011
+ ุนุงูŠุฒู‡ ุงุฐุง ุงู„ุงู† ุจู†ุนู…ู„ convert ู…ู† normal
1012
+
1013
+ 254
1014
+ 00:22:42,720 --> 00:22:48,100
1015
+ distribution ู„ standardized normalู„ูˆ ุชู‚ูˆู… ุจู…ุซุงู„ุงุช
1016
+
1017
+ 255
1018
+ 00:22:48,100 --> 00:22:50,120
1019
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1020
+
1021
+ 256
1022
+ 00:22:50,120 --> 00:22:51,240
1023
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
1024
+
1025
+ 257
1026
+ 00:22:51,240 --> 00:22:54,860
1027
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1028
+
1029
+ 258
1030
+ 00:22:54,860 --> 00:22:55,900
1031
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
1032
+
1033
+ 259
1034
+ 00:22:55,900 --> 00:22:57,380
1035
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1036
+
1037
+ 260
1038
+ 00:22:57,380 --> 00:23:02,800
1039
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
1040
+
1041
+ 261
1042
+ 00:23:02,800 --> 00:23:03,820
1043
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1044
+
1045
+ 262
1046
+ 00:23:03,820 --> 00:23:16,280
1047
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซ
1048
+
1049
+ 263
1050
+ 00:23:19,070 --> 00:23:24,310
1051
+ ุจุชุญูˆู„ ู…ู† ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู„ู…ุนูŠุงุฑูŠ ุทูŠุจ ู…ุด ุงู„ู…ูŠุฒุฉ ุชุงุจุนุฉ
1052
+
1053
+ 264
1054
+ 00:23:24,310 --> 00:23:26,710
1055
+ ุงู„ standardized ุงู„ standardized normal
1056
+
1057
+ 265
1058
+ 00:23:26,710 --> 00:23:30,790
1059
+ distributions ู‡ูŠ has mean of zero and standard
1060
+
1061
+ 266
1062
+ 00:23:30,790 --> 00:23:35,730
1063
+ deviation of one ู‡ุฐุง ู„ุฌุฏูŠุฏ ุงู„ mean ุชุงุจุนู‡ zero ูˆ ุงู„
1064
+
1065
+ 267
1066
+ 00:23:35,730 --> 00:23:41,990
1067
+ sigma is one ุทูŠุจ ุงู„ normal ูƒุงู† ู…ุงู„ู‡ ุงู„ mean ุชุงุจุนู‡
1068
+
1069
+ 268
1070
+ 00:23:41,990 --> 00:23:44,790
1071
+ ุฃูŠ value ู…ู† ุณู„ุจ infinity ู„ plus infinity ูˆ ุงู„
1072
+
1073
+ 269
1074
+ 00:23:44,790 --> 00:23:47,490
1075
+ sigma ู…ู† zero ู„ infinity ู…ุน ูƒุฏู‡ ููŠ ู†ู‡ุงูŠุฉ ุนู†ุฏูŠ
1076
+
1077
+ 270
1078
+ 00:23:47,490 --> 00:23:51,530
1079
+ infiniteุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one value, zero and
1080
+
1081
+ 271
1082
+ 00:23:51,530 --> 00:23:59,830
1083
+ one ุจุณ
1084
+
1085
+ 272
1086
+ 00:23:59,830 --> 00:24:02,790
1087
+ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one value, zero and one ุจุณ ุฏู‡
1088
+
1089
+ 273
1090
+ 00:24:02,790 --> 00:24:04,170
1091
+ ุจูŠุงุฎุฏ ูŠุงุด just one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ
1092
+
1093
+ 274
1094
+ 00:24:04,170 --> 00:24:04,210
1095
+ one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1096
+
1097
+ 275
1098
+ 00:24:04,210 --> 00:24:04,750
1099
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1100
+
1101
+ 276
1102
+ 00:24:04,750 --> 00:24:06,650
1103
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1104
+
1105
+ 277
1106
+ 00:24:06,650 --> 00:24:12,390
1107
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด
1108
+
1109
+ 278
1110
+ 00:24:12,390 --> 00:24:15,530
1111
+ just one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just
1112
+
1113
+ 279
1114
+ 00:24:15,530 --> 00:24:15,730
1115
+ one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1116
+
1117
+ 280
1118
+ 00:24:15,730 --> 00:24:19,790
1119
+ value, zero and one ุจุณ ุฏูˆุณุจุจ ุงู„ุชุญูˆูŠู„ ุฃู† ุงู„ู…ุนูŠุงุฑ
1120
+
1121
+ 281
1122
+ 00:24:19,790 --> 00:24:27,290
1123
+ ู…ุงู„ู‡ ุฃุณู„ ู„ุฃู†ู‡ ู‚ูŠู…ู‡ ู…ุญุฏุฏุฉ ู…ูŠู† ุตูุฑ ูˆ ุณูŠุฌู…ุง ูˆุงุญุฏ ู„ูƒู†
1124
+
1125
+ 282
1126
+ 00:24:27,290 --> 00:24:31,450
1127
+ ุงู„ normal ุงู„ุนุงุฏูŠ ู…ุงู„ู‡ infinite number of means ู…ู†
1128
+
1129
+ 283
1130
+ 00:24:31,450 --> 00:24:34,530
1131
+ ุณุงู„ุจ infinite ู„ plus infinity ูˆ ุงู„ sigma ู…ู† zero ู„
1132
+
1133
+ 284
1134
+ 00:24:34,530 --> 00:24:37,890
1135
+ infinity ุงุญู†ุง ุชุนุจู†ุง ู…ู† ุชู„ุงุชุฉ ุจุณ ูุงู†ุชุจู‡ูŠูƒ ู„ูˆ ูƒุงู†
1136
+
1137
+ 285
1138
+ 00:24:37,890 --> 00:24:41,590
1139
+ ุงู†ุฏูŠุจุงู†ุฏุฑ ุชู„ุงุชุฉ ุชู„ุงุชู…ูŠุฉ ูˆุงุญุฏ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ ุนุดุงู† ูƒุฏู‡
1140
+
1141
+ 286
1142
+ 00:24:41,590 --> 00:24:46,690
1143
+ ู‡ู†ุญูˆู„ ู…ู† normal ู„ standardized how can we
1144
+
1145
+ 287
1146
+ 00:24:46,690 --> 00:24:53,720
1147
+ translateู…ู† ุทุจูŠุนูŠ ุฅู„ู‰ ุทุจูŠุนูŠ ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ุงู„ุญู„ู‚ุฉ
1148
+
1149
+ 288
1150
+ 00:24:53,720 --> 00:25:04,080
1151
+ ุงู„ุซุงู„ุซุฉ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ู‚ุงุฑู†ุฉ ุฒูŠ ุฒูŠ ู…ู‚ุงุฑู†ุฉ ุฒูŠ
1152
+
1153
+ 289
1154
+ 00:25:04,080 --> 00:25:06,060
1155
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1156
+
1157
+ 290
1158
+ 00:25:06,060 --> 00:25:07,020
1159
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1160
+
1161
+ 291
1162
+ 00:25:07,020 --> 00:25:07,180
1163
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1164
+
1165
+ 292
1166
+ 00:25:07,180 --> 00:25:07,440
1167
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1168
+
1169
+ 293
1170
+ 00:25:07,440 --> 00:25:10,180
1171
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1172
+
1173
+ 294
1174
+ 00:25:10,180 --> 00:25:13,740
1175
+ ุฒูŠ ุฒูŠ
1176
+
1177
+ 295
1178
+ 00:25:13,740 --> 00:25:22,680
1179
+ ุฒูŠุฒูŠ ูŠุนู†ูŠ ุงุชุฌุงุฑุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1180
+
1181
+ 296
1182
+ 00:25:22,680 --> 00:25:23,460
1183
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1184
+
1185
+ 297
1186
+ 00:25:23,460 --> 00:25:23,740
1187
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1188
+
1189
+ 298
1190
+ 00:25:23,740 --> 00:25:24,880
1191
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1192
+
1193
+ 299
1194
+ 00:25:24,880 --> 00:25:28,900
1195
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1196
+
1197
+ 300
1198
+ 00:25:28,900 --> 00:25:32,200
1199
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1200
+
1201
+ 301
1202
+ 00:25:32,200 --> 00:25:39,960
1203
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…
1204
+
1205
+ 302
1206
+ 00:25:41,280 --> 00:25:48,520
1207
+ ุงู„ุฒูŠ ุฏูŠุณุชุฑุจูŠูˆุดู† ุฏุงุฆู…ู‹ุง ู„ุฏูŠู‡
1208
+
1209
+ 303
1210
+ 00:25:48,520 --> 00:25:54,760
1211
+ ู…ูŠู† ุชุจุนู‡ุง 0 ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1212
+
1213
+ 304
1214
+ 00:25:54,760 --> 00:26:03,560
1215
+ ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1216
+
1217
+ 305
1218
+ 00:26:03,560 --> 00:26:09,900
1219
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1220
+
1221
+ 306
1222
+ 00:26:09,900 --> 00:26:10,000
1223
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1224
+
1225
+ 307
1226
+ 00:26:10,000 --> 00:26:11,200
1227
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠุฃูŠ ุณุคุงู„
1228
+
1229
+ 308
1230
+ 00:26:11,200 --> 00:26:16,400
1231
+ ู…ูˆุฌูˆุฏุŸ
1232
+
1233
+ 309
1234
+ 00:26:16,400 --> 00:26:21,000
1235
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ุฐู‡ ู‡ูŠ ู…ูู‡ูˆู…ุฉ ุงู„ู‡ุฒูŠู…ุฉ ู„ู€ Standardized
1236
+
1237
+ 310
1238
+ 00:26:21,000 --> 00:26:26,880
1239
+ Normal ุงูŠุถุง ุชู†ุณู‰ ู‡ุฐู‡ ุงู„ุตูุญุฉ ู‡ุฐุง ู…ุด ุนุงูŠุฒูŠู†ู‡ ุงุฐุง ู‡ูˆ
1240
+
1241
+ 311
1242
+ 00:26:26,880 --> 00:26:31,300
1243
+ ูˆุงุถุญ ุงู„ู„ูŠ ุนู†ุฏูŠ two slides ุนู…ู„ู‡ู… skip ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„
1244
+
1245
+ 312
1246
+ 00:26:31,300 --> 00:26:33,000
1247
+ normal ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ standardized
1248
+
1249
+ 313
1250
+ 00:26:37,600 --> 00:26:44,500
1251
+ Standardized Normal Distribution Known as Z ูŠุนู†ูŠ
1252
+
1253
+ 314
1254
+ 00:26:44,500 --> 00:26:50,140
1255
+ ุจุฏู„ ู…ุง ุงุญูƒูŠ Standardized Normal Distribution ู‡ู†ุงุฎุฏ
1256
+
1257
+ 315
1258
+ 00:26:50,140 --> 00:26:55,840
1259
+ ุงุฎุชุตุงุฑูŠ ู„ู‡ุง ุจุณ Z Distribution ูุงู„ Z ููŠ ุงู„
1260
+
1261
+ 316
1262
+ 00:26:55,840 --> 00:27:01,380
1263
+ statistics ู…ุนู†ุงู‡ุง Standardized
1264
+
1265
+ 317
1266
+ 00:27:01,380 --> 00:27:05,010
1267
+ NormalูŠุนู†ูŠ ุจุฏู„ ู…ุง ุงุญูƒูŠ standardized normal ู‡ุญูƒูŠ z
1268
+
1269
+ 318
1270
+ 00:27:05,010 --> 00:27:11,110
1271
+ ุงุฐุง and always we just use z instead of
1272
+
1273
+ 319
1274
+ 00:27:11,110 --> 00:27:15,990
1275
+ standardized normal now this z has mean of zero
1276
+
1277
+ 320
1278
+ 00:27:15,990 --> 00:27:19,950
1279
+ and standard deviation of one this is the mean and
1280
+
1281
+ 321
1282
+ 00:27:19,950 --> 00:27:25,210
1283
+ this is sigma, sigma is one now value for z we
1284
+
1285
+ 322
1286
+ 00:27:25,210 --> 00:27:28,410
1287
+ have negative and plus values so we have negative
1288
+
1289
+ 323
1290
+ 00:27:28,410 --> 00:27:34,060
1291
+ values and positive valuesValues above the mean
1292
+
1293
+ 324
1294
+ 00:27:34,060 --> 00:27:39,420
1295
+ have positive z ุงู„ู‚ูŠู… ุงู„ุฃุนู„ู‰ ู…ู† ุงู„ู€mean in this
1296
+
1297
+ 325
1298
+ 00:27:39,420 --> 00:27:43,920
1299
+ direction Zero and above we have positive z
1300
+
1301
+ 326
1302
+ 00:27:43,920 --> 00:27:49,140
1303
+ Negative z it means to the left side of zero So
1304
+
1305
+ 327
1306
+ 00:27:49,140 --> 00:27:52,780
1307
+ values above the mean have positive z values while
1308
+
1309
+ 328
1310
+ 00:27:52,780 --> 00:27:58,990
1311
+ values below the mean have negative z valuesุจุชูƒูˆู†
1312
+
1313
+ 329
1314
+ 00:27:58,990 --> 00:28:03,150
1315
+ ู…ูˆุฌุฉ ุจุงู„ z score ุชุจุนู‡ุง ุทุจูŠุนูŠ ู…ุดุงูƒู„ ู„ู…ุง ูƒุงู†ุช ุงู„ x
1316
+
1317
+ 330
1318
+ 00:28:03,150 --> 00:28:06,750
1319
+ ุฃูƒุจุฑ ู…ู† ุงู„ mean ุชุฐูƒุฑ ุงู„ x is greater than the mean
1320
+
1321
+ 331
1322
+ 00:28:06,750 --> 00:28:10,810
1323
+ then z is positive ูˆ ุงู„ุนูƒุณ ู„ูˆ ูƒุงู†ุช x ุฃู‚ู„ ู…ู† ุงู„
1324
+
1325
+ 332
1326
+ 00:28:10,810 --> 00:28:16,110
1327
+ mean ู†ูŠุฌุงุชูŠู I think we discussed this issue in
1328
+
1329
+ 333
1330
+ 00:28:16,110 --> 00:28:22,410
1331
+ chapter 3 when we said z is positive if x is
1332
+
1333
+ 334
1334
+ 00:28:22,410 --> 00:28:26,450
1335
+ greater than the meanู„ุฐู„ูƒ ุฅุฐุง ู‚ูŠู…ุฉ ุฃูƒุชุฑ ู…ู† ุงู„ู…ุนู†ู‰ุŒ
1336
+
1337
+ 335
1338
+ 00:28:26,450 --> 00:28:31,270
1339
+ ูู€ z ู‡ูˆ ุงูƒุชุฑ ู…ู† ุงู„ู…ุนู†ู‰ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1340
+
1341
+ 336
1342
+ 00:28:31,270 --> 00:28:33,050
1343
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1344
+
1345
+ 337
1346
+ 00:28:56,960 --> 00:29:12,060
1347
+ ุณุฃุนุทูŠ ุจุนุถ ุงู„ุฃู…ุซู„ุฉ ู‡ู†ุง ุฅุฐุง
1348
+
1349
+ 338
1350
+ 00:29:12,060 --> 00:29:21,960
1351
+ X ูƒุงู† ุนุงู…ู‹ุง ู…ุฌุชู…ุนู‹ุง ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„ X ู„ุฏูŠู‡ ุนุงู…ุฉ ู…ุน
1352
+
1353
+ 339
1354
+ 00:29:27,330 --> 00:29:36,230
1355
+ ู…ุนู†ู‰ 100 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุน๏ฟฝ๏ฟฝู„ูŠ
1356
+
1357
+ 340
1358
+ 00:29:36,230 --> 00:29:37,770
1359
+ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ
1360
+
1361
+ 341
1362
+ 00:29:37,770 --> 00:29:38,450
1363
+ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50
1364
+
1365
+ 342
1366
+ 00:29:38,450 --> 00:29:40,730
1367
+ ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰
1368
+
1369
+ 343
1370
+ 00:29:40,730 --> 00:29:40,890
1371
+ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ
1372
+
1373
+ 344
1374
+ 00:29:40,890 --> 00:29:42,170
1375
+ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ
1376
+
1377
+ 345
1378
+ 00:29:42,170 --> 00:29:46,070
1379
+ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰
1380
+
1381
+ 346
1382
+ 00:29:46,070 --> 00:29:49,370
1383
+ 50
1384
+
1385
+ 347
1386
+ 00:29:49,370 --> 00:29:59,660
1387
+ ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนูˆุงู„ุณุนุฑ ู„ุฏูŠู‡
1388
+
1389
+ 348
1390
+ 00:29:59,660 --> 00:30:03,680
1391
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ 100 ุฏูˆู„ุงุฑ ูˆุณูŠุฌู…ุง 50
1392
+
1393
+ 349
1394
+ 00:30:03,680 --> 00:30:12,280
1395
+ ุฏูˆู„ุงุฑ ุงุฐุง ุณุนุฑูƒ 200 ุฏูˆู„ุงุฑ ู…ุงุฐุง
1396
+
1397
+ 350
1398
+ 00:30:12,280 --> 00:30:20,020
1399
+ ูŠุนู†ูŠ ุฒูŠ ุณุฌู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฏุนูˆู†ุง ุฃูˆู„ุง ู†ุฌุฑุญ ุฒูŠ
1400
+
1401
+ 351
1402
+ 00:30:20,020 --> 00:30:24,080
1403
+ ูŠุนู†ูŠ ุงูƒุณ ู…ูŠู† ุนุจุฑ ุณูŠุฌู…ุง
1404
+
1405
+ 352
1406
+ 00:30:27,760 --> 00:30:40,080
1407
+ X ู‡ูˆ 200 ู…ูŠู† ู‡ูˆ 1 ุณูŠุฌู…ุน ู‡ูˆ 50 ู‡ุฐุง ูŠุนู†ูŠ 2 ุงู„ุขู†
1408
+
1409
+ 353
1410
+ 00:30:40,080 --> 00:30:47,980
1411
+ ู‚ูŠู…ุฉ 2 ู…ุงุฐุง ูŠุนู†ูŠ ู‚ูŠู…ุฉ 2ุŸ ูŠุนู†ูŠ X ู‡ูˆ 200 ุงู†ู‡ 2
1412
+
1413
+ 354
1414
+ 00:30:47,980 --> 00:30:52,220
1415
+ ู…ู‚ุงุฑู†ุฉ ุนุงุฏูŠุฉ ุฃุนู„ู‰ ู…ูŠู† ูƒูˆูŠุณุŒ ุงุฐุง ู‡ุฐุง ูŠู‚ูˆู„ ุฃู† ูƒูุฉ
1416
+
1417
+ 355
1418
+ 00:30:52,220 --> 00:30:55,560
1419
+ 200ุงู†ุชู‚ู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1420
+
1421
+ 356
1422
+ 00:30:55,560 --> 00:30:58,260
1423
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1424
+
1425
+ 357
1426
+ 00:30:58,260 --> 00:31:02,980
1427
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1428
+
1429
+ 358
1430
+ 00:31:02,980 --> 00:31:03,380
1431
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1432
+
1433
+ 359
1434
+ 00:31:03,380 --> 00:31:03,400
1435
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1436
+
1437
+ 360
1438
+ 00:31:03,400 --> 00:31:03,480
1439
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1440
+
1441
+ 361
1442
+ 00:31:03,480 --> 00:31:06,040
1443
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1444
+
1445
+ 362
1446
+ 00:31:06,040 --> 00:31:09,080
1447
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1448
+
1449
+ 363
1450
+ 00:31:09,080 --> 00:31:10,920
1451
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1452
+
1453
+ 364
1454
+ 00:31:22,660 --> 00:31:28,580
1455
+ your wage and the mean is twice sigma ุงู†ุง ุจุฒูŠุฏู‡ุง
1456
+
1457
+ 365
1458
+ 00:31:28,580 --> 00:31:34,400
1459
+ ุนู† ุงู„ู…ุชูˆุณุท ุจุงู„ู…ูŠุฉ ุงู„ู…ูŠุฉ ู…ุด ุนู„ุงู‚ุฉ ุจุงู„ุฎู…ุณูŠู† ุถุนูู‡ุง
1460
+
1461
+ 366
1462
+ 00:31:34,400 --> 00:31:38,900
1463
+ ุนุดุงู† ูƒุฏู‡ ุทู„ุนุช ุงุชู†ูŠู† ู…ุน ูƒุฏู‡ this is wage of two
1464
+
1465
+ 367
1466
+ 00:31:38,900 --> 00:31:42,020
1467
+ hundred is two standard deviation above that one
1468
+
1469
+ 368
1470
+ 00:31:42,020 --> 00:31:49,660
1471
+ more example for z negative for instance suppose
1472
+
1473
+ 369
1474
+ 00:31:49,660 --> 00:31:59,800
1475
+ your wage150 ุฏูˆู„ุงุฑ ู…ุงุฒุงู„ ุฌูŠุฏ ู„ุฃู†
1476
+
1477
+ 370
1478
+ 00:31:59,800 --> 00:32:05,640
1479
+ ู‡ุฐุง ุงู„ูˆุงุฌู‡ุฉ ุฃูƒุจุฑ ู…ู† 100 ุงู„ุขู† ู„ูƒูŠ ุฃู‚ูˆู… ุจู…ุนุฑูุฉ ุฒูŠ
1480
+
1481
+ 371
1482
+ 00:32:05,640 --> 00:32:15,040
1483
+ 150 ู…ุงู†ูˆุณ 100 ู…ู‚ุงู„ 50 ู‡ูˆ ูˆุงุญุฏ ูู…ุนุฑูุฉ ุฒูŠ ูˆุงุญุฏ ูŠุนู†ูŠ
1484
+
1485
+ 372
1486
+ 00:32:15,040 --> 00:32:21,470
1487
+ ุฃู† ูˆุงุฌู‡ุชูƒ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุฃุนู„ู‰ ุงู„ู…ู‚ุงูˆู…ุฉู„ุฃู† ุงู„ูุฑู‚
1488
+
1489
+ 373
1490
+ 00:32:21,470 --> 00:32:27,890
1491
+ ุฎู…ุณูŠู† ู…ุด ู‡ูŠูƒ ูˆ ุงู„ุฎู…ุณูŠู† ู‡ูŠ ุงู„ sigma suppose your
1492
+
1493
+ 374
1494
+ 00:32:27,890 --> 00:32:31,770
1495
+ wage is fifty now
1496
+
1497
+ 375
1498
+ 00:32:31,770 --> 00:32:37,370
1499
+ this one in this case negative
1500
+
1501
+ 376
1502
+ 00:32:37,370 --> 00:32:46,710
1503
+ one negative means your wage of ุฎู…ุณูŠู† ุฃู‚ู„ ู…ู† ุงู„
1504
+
1505
+ 377
1506
+ 00:32:46,710 --> 00:32:55,080
1507
+ mean of one standard deviationู…ุงุฐุง ุนู† X ู‡ูˆ 100ุŸ
1508
+
1509
+ 378
1510
+ 00:32:55,080 --> 00:33:00,540
1511
+ Z ูŠู‚ู„ 0ุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‚ูŠู…ุชูƒ ู‡ูŠ ู†ูุณู‡ุง ู…ุง ูŠุนู†ูŠ
1512
+
1513
+ 379
1514
+ 00:33:00,540 --> 00:33:01,180
1515
+ ุงู„ู…ุฌุชู…ุน.
1516
+
1517
+ 380
1518
+ 00:33:04,660 --> 00:33:14,220
1519
+ ุฏุนูˆู†ุง ู†ู‚ุงุฑู† X ูˆ Z. ุงู„ุขู†ุŒ ู„ู„ู…ุซุงู„ ู‡ุฐุงุŒ ุงู„ู…ุนู†ู‰ 100 ูˆ
1520
+
1521
+ 381
1522
+ 00:33:14,220 --> 00:33:15,000
1523
+ Sigma ู‡ูˆ 50.
1524
+
1525
+ 382
1526
+ 00:33:17,880 --> 00:33:18,340
1527
+ ุงู„ุขู†ุŒ ู„ู€
1528
+
1529
+ 383
1530
+ 00:33:30,670 --> 00:33:44,390
1531
+ ุนู† ุทุฑูŠู‚ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู…
1532
+
1533
+ 384
1534
+ 00:33:44,390 --> 00:33:50,250
1535
+ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู…only the
1536
+
1537
+ 385
1538
+ 00:33:50,250 --> 00:33:54,470
1539
+ scale has changed ูŠุนู†ูŠ ู†ูุณ ุงู„ุชูˆุฒูŠุน ุณูˆุงุก normal
1540
+
1541
+ 386
1542
+ 00:33:54,470 --> 00:33:58,470
1543
+ distribution ุฃูˆ standardized ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
1544
+
1545
+ 387
1546
+ 00:33:58,470 --> 00:34:04,610
1547
+ ูˆ ุงู„ู…ุนูŠุงุฑ ู…ุง ู„ู‡ู… ู†ูุณ ุงู„ุดูƒู„ ุจุณ ุงู„ scale ุงุฎุชู„ู ุจุนุฏ
1548
+
1549
+ 388
1550
+ 00:34:04,610 --> 00:34:11,630
1551
+ ู…ุง ูƒุงู† ู‡ู†ุง 100 ูˆ 200 ุตุงุฑุช 02 ูˆ ู‡ูƒุฐุงู†ุณุชุทูŠุน ุฃู† ู†ุนุฑู
1552
+
1553
+ 389
1554
+ 00:34:11,630 --> 00:34:15,990
1555
+ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุฃุตู„ูŠุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ
1556
+
1557
+ 390
1558
+ 00:34:15,990 --> 00:34:16,630
1559
+ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1560
+
1561
+ 391
1562
+ 00:34:16,630 --> 00:34:16,710
1563
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1564
+
1565
+ 392
1566
+ 00:34:16,710 --> 00:34:17,770
1567
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1568
+
1569
+ 393
1570
+ 00:34:17,770 --> 00:34:19,970
1571
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1572
+
1573
+ 394
1574
+ 00:34:19,970 --> 00:34:20,670
1575
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1576
+
1577
+ 395
1578
+ 00:34:20,670 --> 00:34:21,330
1579
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1580
+
1581
+ 396
1582
+ 00:34:21,330 --> 00:34:22,990
1583
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1584
+
1585
+ 397
1586
+ 00:34:22,990 --> 00:34:30,790
1587
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1588
+
1589
+ 398
1590
+ 00:34:30,790 --> 00:34:31,710
1591
+ ุงู„ู…ุฌู…ูˆุน
1592
+
1593
+ 399
1594
+ 00:34:37,620 --> 00:34:40,500
1595
+ ุงู„ุณุคุงู„ ุงู„ุขู† ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ุงู„ูˆุงู‚ุนุงุช ุงู„ุทุจูŠุนูŠุฉ
1596
+
1597
+ 400
1598
+ 00:34:40,500 --> 00:34:47,600
1599
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‡ุฏู ุงู„ุฃูˆู„ ุงู„ุขู† ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุทุจูŠุนูŠุฉ
1600
+
1601
+ 401
1602
+ 00:34:47,600 --> 00:34:51,020
1603
+ ุทุจูŠุนูŠุฉ ูˆู†ุญู†
1604
+
1605
+ 402
1606
+ 00:34:51,020 --> 00:34:57,060
1607
+ ู…ู‡ุชู…ูˆู† ุจุงู„ู…ู†ุทู‚ุฉ ุจูŠู† a ูˆ b ุณู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุชุตู…ูŠู… ุจูŠ
1608
+
1609
+ 403
1610
+ 00:34:57,060 --> 00:35:02,080
1611
+ ุจูŠ ุชุนู†ูŠ ุงู„ูˆุงู‚ุน
1612
+
1613
+ 404
1614
+ 00:35:02,080 --> 00:35:12,680
1615
+ X ุจูŠู† a ูˆ b ุฅู…ุง ูŠู…ูƒู†ูƒ ูƒุชุงุจุฉx โ‰ฅ b โ‰ฅ b ุฃูˆ ูู‚ุท ุจุฏูˆู†
1616
+
1617
+ 405
1618
+ 00:35:12,680 --> 00:35:19,240
1619
+ ุฅู‚ู„ ุตูŠู† x โ‰ฅ a โ‰ค b ู„ุฃู† ู…ูุฑูˆุถ ุฃูŠ ู‚ูŠู…ุฉ ู…ุญุฏุฏุฉ ูุงุฑู‚ุฉ
1620
+
1621
+ 406
1622
+ 00:35:19,240 --> 00:35:33,900
1623
+ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ
1624
+
1625
+ 407
1626
+ 00:35:33,900 --> 00:35:39,670
1627
+ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉุจุนู† ุทุฑูŠู‚ ุจูŠ ุงูˆ ุงูƒุณ ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง
1628
+
1629
+ 408
1630
+ 00:35:39,670 --> 00:35:44,470
1631
+ ุงูŠู‚ุงู„ ุตูŠู† ุงูˆ ู„ุง ุงูŠู‚ุงู„ ุตูŠู† ุจูŠุฑ ู‡ูŠุฑ ู‡ู… ู†ูุณ ุงู„ุงุดูŠุงุก
1632
+
1633
+ 409
1634
+ 00:35:44,470 --> 00:35:48,290
1635
+ ูŠุนู†ูŠ ุณูˆุงุก ููŠ ุนู„ุงู…ุฉ ู„ูŠุณุงูˆุฉ ู…ุงููŠุด ุงู„ุงุชู†ูŠู† ู…ุงู„ู‡ู… ู†ูุณ
1636
+
1637
+ 410
1638
+ 00:35:48,290 --> 00:35:55,430
1639
+ ุงู„ุดูŠุก ูŠุนู†ูŠ ู„ูˆ ุจูƒุชุจ ุจูŠ ุงูˆ ุงูŠ ุงู‚ู„ ู…ู† ุงูˆ ุงูŠู‚ุงู„ ู†ูุณ ู„ูˆ
1640
+
1641
+ 411
1642
+ 00:35:55,430 --> 00:35:58,110
1643
+ ูƒุชุจุช ู…ู† ุบูŠุฑ ุงู„ู…ุณุงูˆุฉ ู…ู† ุบูŠุฑ ุงู„ูŠุณุงูˆุฉ
1644
+
1645
+ 412
1646
+ 00:36:14,900 --> 00:36:19,180
1647
+ ูŠุนู†ูŠ equal sign ู…ุด ู…ู‡ู…ุฉ ููŠ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ู„ู…ุง
1648
+
1649
+ 413
1650
+ 00:36:19,180 --> 00:36:22,580
1651
+ ุจุญูƒูŠ greater than or equal they have the same
1652
+
1653
+ 414
1654
+ 00:36:22,580 --> 00:36:28,220
1655
+ meaning now
1656
+
1657
+ 415
1658
+ 00:36:28,220 --> 00:36:32,480
1659
+ since we have symmetric distribution it means the
1660
+
1661
+ 416
1662
+ 00:36:32,480 --> 00:36:38,120
1663
+ area to the right equals the area to the left now
1664
+
1665
+ 417
1666
+ 00:36:38,120 --> 00:36:41,780
1667
+ the total area under the curve is one ู…ุณุงุญุฉ ุชุญุช
1668
+
1669
+ 418
1670
+ 00:36:41,780 --> 00:36:47,940
1671
+ ุงู„ู…ุฑุญู†ุฉ ุจูˆุงุญุฏ ูƒู„ ุงู„ู…ุณุงุญุฉูู…ุนู†ู‰ ูƒุฏู‡ ูƒูŠุฑุจ ู…ุชุณุงูˆู…ุŒ
1672
+
1673
+ 419
1674
+ 00:36:47,940 --> 00:36:52,200
1675
+ ู„ุฐู„ูƒ ู†ุตู ุฃุนู„ู‰ ุงู„ู…ุตุทู„ุญ ูˆ ู†ุตู ุชุญุชู‡ ู„ุฃู† ู‡ู†ุง 50% ูˆ ู‡ู†ุง
1676
+
1677
+ 420
1678
+ 00:36:52,200 --> 00:36:57,020
1679
+ 50%ุŸ ุฃู‡ุŒ ู‡ุฐู‡ 50% ูˆ ู‡ุฐู‡ 50%ุŒ ู…ุน ูƒุฏู‡ ุงู„ .. ุงู„ .. ุงู„
1680
+
1681
+ 421
1682
+ 00:36:57,020 --> 00:36:57,580
1683
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1684
+
1685
+ 422
1686
+ 00:36:57,580 --> 00:36:57,600
1687
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1688
+
1689
+ 423
1690
+ 00:36:57,600 --> 00:36:58,880
1691
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1692
+
1693
+ 424
1694
+ 00:36:58,880 --> 00:37:00,220
1695
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1696
+
1697
+ 425
1698
+ 00:37:00,220 --> 00:37:01,740
1699
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1700
+
1701
+ 426
1702
+ 00:37:01,740 --> 00:37:02,800
1703
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1704
+
1705
+ 427
1706
+ 00:37:02,800 --> 00:37:08,240
1707
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1708
+
1709
+ 428
1710
+ 00:37:08,240 --> 00:37:13,840
1711
+ ุงู„ .. ุงู„ ..
1712
+
1713
+ 429
1714
+ 00:37:16,480 --> 00:37:19,380
1715
+ ุฅุฐุง ุงู„ area ุนู„ูŠ ูŠู…ูŠู† ู„ู…ูŠูˆ ุจุชุณุงูˆูŠ ุงู„ area to the
1716
+
1717
+ 430
1718
+ 00:37:19,380 --> 00:37:25,180
1719
+ left of ู…ูŠูˆ and each one equals one half ู„ูŠุดุŸ ู„ุฃู†
1720
+
1721
+ 431
1722
+ 00:37:25,180 --> 00:37:31,580
1723
+ ุงู„ุชูˆุฒูŠุน ุงู„ุณูŠู…ุชุฑูŠูƒ ุฌุงูŠ ููŠ ุงู„ู†ุต ุงู„ mean ุงู„ area ูƒู„ู‡ุง
1724
+
1725
+ 432
1726
+ 00:37:31,580 --> 00:37:35,700
1727
+ under the curve is one ูุฌุณู…ู‡ุง ุฌุณู…ูŠู† ู†ุต ุนู„ูŠ ูŠู…ูŠู† ูˆ
1728
+
1729
+ 433
1730
+ 00:37:35,700 --> 00:37:38,160
1731
+ ู†ุต ุนู„ูŠ ุงู„ุดู…ุงู„ ุฅุฐุง ุงู„ area to the right of the mean
1732
+
1733
+ 434
1734
+ 00:37:38,160 --> 00:37:41,540
1735
+ is one half and equals the area to the left of the
1736
+
1737
+ 435
1738
+ 00:37:41,540 --> 00:37:44,880
1739
+ mean is also one half ุฅุฐุง ุงู„ู…ุณุงุญุงุช ุนู„ูŠ ูŠู…ูŠู† ูˆ ุนู„ูŠ
1740
+
1741
+ 436
1742
+ 00:37:44,880 --> 00:37:51,880
1743
+ ุงู„ุดู…ุงู„ ู…ุง ๏ฟฝ๏ฟฝู…ุŸุฒูŠ ุจุนุถ ูˆูƒู„ ู…ุณุงุญุฉ ุงูŠุด ุจุชุณุงูˆูŠ ูˆุงุญุฏ ุงุฐุง
1744
+
1745
+ 437
1746
+ 00:37:51,880 --> 00:37:55,160
1747
+ ูƒู„ ู…ุณุงุญุฉ equal one ูˆ ุงู„ left ุจูŠุณุงูˆูŠ ุงู„ right
1748
+
1749
+ 438
1750
+ 00:37:55,160 --> 00:38:00,140
1751
+ ุจูŠุณุงูˆูŠ one half next time ุงู† ุดุงุก ุงู„ู„ู‡ we will
1752
+
1753
+ 439
1754
+ 00:38:00,140 --> 00:38:04,760
1755
+ continue and see how can we compute the
1756
+
1757
+ 440
1758
+ 00:38:04,760 --> 00:38:07,800
1759
+ probabilities using the standardized normal table
1760
+
1761
+ 441
1762
+ 00:38:07,800 --> 00:38:12,380
1763
+ ุงู„ุชุงุจู„ ุงู„ู…ูˆุฌูˆุฏ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจ ู…ุนุงูƒ ูุงู„ู„ู‚ุงุก ุฌุงูŠุจ
1764
+
1765
+ 442
1766
+ 00:38:12,380 --> 00:38:13,060
1767
+ ู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
1768
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/RxcHSWCj7U8_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/RxcHSWCj7U8_raw.srt ADDED
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1
+ 1
2
+ 00:00:20,670 --> 00:00:24,010
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู†ุจุฏุฃ ุญู„ู‚ุฉ
4
+
5
+ 2
6
+ 00:00:24,010 --> 00:00:30,490
7
+ ุฌุฏูŠุฏุฉ ุญู„ู‚ุฉ 6 ุชุชูƒู„ู… ุนู† ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ุดุงุฑูƒุงุช ุงู„ุนุงู…ุฉ ููŠ
8
+
9
+ 3
10
+ 00:00:30,490 --> 00:00:37,990
11
+ ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุงุณู…ู‡ุง ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ ุญู„ู‚ุฉ
12
+
13
+ 4
14
+ 00:00:37,990 --> 00:00:43,750
15
+ 6 ุงู„ู…ุดุงุฑูƒุฉ
16
+
17
+ 5
18
+ 00:00:43,750 --> 00:00:45,230
19
+ ุงู„ุทุจูŠุนูŠุฉ
20
+
21
+ 6
22
+ 00:00:52,820 --> 00:00:54,740
23
+ ุงู„ุงู† ู…ุงุฐุง ูŠุนู†ูŠ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
24
+
25
+ 7
26
+ 00:00:54,740 --> 00:00:57,180
27
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
28
+
29
+ 8
30
+ 00:00:57,180 --> 00:00:59,640
31
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
32
+
33
+ 9
34
+ 00:00:59,640 --> 00:01:00,020
35
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
36
+
37
+ 10
38
+ 00:01:00,020 --> 00:01:01,640
39
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
40
+
41
+ 11
42
+ 00:01:01,640 --> 00:01:03,280
43
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
44
+
45
+ 12
46
+ 00:01:03,280 --> 00:01:03,280
47
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
48
+
49
+ 13
50
+ 00:01:03,280 --> 00:01:03,620
51
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
52
+
53
+ 14
54
+ 00:01:03,620 --> 00:01:08,800
55
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
56
+
57
+ 15
58
+ 00:01:08,800 --> 00:01:14,440
59
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุน
60
+
61
+ 16
62
+ 00:01:22,100 --> 00:01:29,000
63
+ around the mean and all measures of centered
64
+
65
+ 17
66
+ 00:01:29,000 --> 00:01:35,680
67
+ tendency are roughly equal I mean mean, median and
68
+
69
+ 18
70
+ 00:01:35,680 --> 00:01:41,900
71
+ mode are roughly equal ุชู‚ุฑูŠุจุง ู…ุชุณุงูˆูŠุฉ ุงุฐุง ุงู„ mean
72
+
73
+ 19
74
+ 00:01:41,900 --> 00:01:49,180
75
+ equal median equal modeู„ุฐู„ูƒ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงุฏู‰ ูŠุญุชูˆูŠ
76
+
77
+ 20
78
+ 00:01:49,180 --> 00:01:57,580
79
+ ุนู„ู‰ ุซู„ุงุซ ู…ูŠุฒุงู†ูŠู† ูŠุจุฏูˆ ู…ุซู„ู‹ุง ุจูŠู„ ุดูŠุจุฏ ู…ูŠุฒุงู†ูŠ ุญูˆู„
80
+
81
+ 21
82
+ 00:01:57,580 --> 00:02:06,140
83
+ ุงู„ู…ูŠุงู† ูˆูƒู„ ู…ูŠุฒุงู†ูŠ ุงู„ุชุฌุงุฑุจ ุชู‚ุฑูŠุจู‹ุง ุฃูˆ ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ู‹ุง
84
+
85
+ 22
86
+ 00:02:09,770 --> 00:02:14,490
87
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุจุขูŠุฉ ู‚ุฑุฃู†ูŠุฉ ุจุชูุณุฑ
88
+
89
+ 23
90
+ 00:02:14,490 --> 00:02:17,250
91
+ ุงู„ู…ุนู†ู‰ ู„ู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠุŒ ุงู„ู…ูู‡ูˆู… ุชุจุน ุงู„ุชูˆุฒูŠุน
92
+
93
+ 24
94
+ 00:02:17,250 --> 00:02:23,850
95
+ ุงู„ุทุจูŠุนูŠ ููŠ ุงู„ุตูˆุฑุฉ .. ุฅูŠู‡ ุงู„ู„ูŠ ูƒุชุนุฑููŠู‡ุง ูŠุนู†ูŠ ู„ู„ุนู„ู…
96
+
97
+ 25
98
+ 00:02:23,850 --> 00:02:30,170
99
+ ุจุงู„ุดูŠุกุŸ ุตูˆุฑุฉ ุงู„ุฑูˆู…ุŒ ุขูŠุฉ 54 ุงู„ู„ู‡
100
+
101
+ 26
102
+ 00:02:30,170 --> 00:02:31,810
103
+ ุงู„ุฐูŠ ุฎู„ู‚ูƒู… ู…ู† ุถุนู
104
+
105
+ 27
106
+ 00:02:37,980 --> 00:02:40,840
107
+ ู„ุญุธุฉ ุถุนู ูŠุนู†ูŠ ุงู„ุจุฏุงูŠุฉ ุฎุงู„ุต ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
108
+
109
+ 28
110
+ 00:02:40,840 --> 00:02:45,700
111
+ ู‡ู†ุง ุจุชุนุฑู ู„ุญุธุฉ ุจูŠู†ูŠ ูˆู„ุง ุฏู‡ ุตุบูŠุฑ ูŠุนู†ูŠ ูˆู„ุง ุฏู‡ ุตุบูŠุฑ
112
+
113
+ 29
114
+ 00:02:45,700 --> 00:02:52,380
115
+ ุจุนุฏูŠู† ู…ุงุจุจุฏุงูŠุด ุจูŠูƒุจุฑ ุดูˆูŠุฉ ุดูˆูŠุฉ ู„ุบุงูŠุฉ ู…ุง ูŠุตู„ ูˆูŠู†
116
+
117
+ 30
118
+ 00:02:52,380 --> 00:02:58,700
119
+ ุงู„ู‚ู…ุฉ ู…ุฑุงุญุฉ ุงู„ุดุจุงุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ู‡ ุงู„ุฐูŠ ุฎู„ู‚ูƒู…
120
+
121
+ 31
122
+ 00:02:58,700 --> 00:03:04,200
123
+ ู…ู† ุถุนู ุซู… ุฌุนู„ู‡ ู…ู† ุจุนุฏ ุถุนู ู‚ูˆุฉ
124
+
125
+ 32
126
+ 00:03:07,210 --> 00:03:11,950
127
+ ู„ุฐู† ุงู„ุชูˆุฒูŠุน ุจูŠุจุฏุฃ ุตุบูŠุฑุŒ ุจุนุฏูŠู† ุจูŠุจุฏุฃ ุจุงู„ุชุณุงุนุฏ ู„ุบุงูŠุฉ
128
+
129
+ 33
130
+ 00:03:11,950 --> 00:03:20,590
131
+ ู…ุง ูŠุญุตู„ ุงู„ู‚ู…ุฉ ุชุจุนุชู‡ุŒ ุซู… ุฌุนู„ู‡ ู…ู† ุจุนุฏ ู‚ูˆุฉุŒ ุงู„ู‚ูˆุฉ
132
+
133
+ 34
134
+ 00:03:20,590 --> 00:03:28,590
135
+ ุงู„ู„ูŠ ู‡ู†ุงุŒ ุชูŠุฌูŠ ุถุนู ู‡ู†ุงุŒ ูˆ ู…ุด ุจุนุฏ ุงู„ุถุนูุŒ ุดูŠุจุฉุŒ ุซู…
136
+
137
+ 35
138
+ 00:03:28,590 --> 00:03:33,730
139
+ ุฌุนู„ู‡ ุจุนุฏ ู‚ูˆุฉุŒ ุถุนู ูˆ ุดูŠุจุฉ
140
+
141
+ 36
142
+ 00:03:37,660 --> 00:03:42,400
143
+ ุจุงู„ุธุจุท ู‡ุฐู‡ ุฏูˆุฑุฉ ุญูŠุงุฉ ุงู„ุฅู†ุณุงู†ุŒ ู…ุด ู‡ูŠูƒุŸ ุฏูˆุฑุฉ ุญูŠุงุฉ ุฃูŠ
144
+
145
+ 37
146
+ 00:03:42,400 --> 00:03:46,620
147
+ ูˆุงุญุฏุŒ ุฅู†ุณุงู† ูˆุบูŠุฑ ุฅู†ุณุงู†ุŒ ุจูŠุจุฏูˆ ุตุบูŠุฑุŒ ุจูŠูƒุจุฑ ุชุฏุฑูŠุฌูŠุŒ
148
+
149
+ 38
150
+ 00:03:46,620 --> 00:03:52,480
151
+ ุจูŠุตู„ ู„ู„ู‚ู…ุฉุŒ ูˆ ุจุนุฏูŠู† ุจูŠู†ุชู‡ูŠุŒ ูุทู„ุนุช ู…ุซู„ุง ุจูŠุตู„ ู„ู„ู‚ู…ุฉุŒ
152
+
153
+ 39
154
+ 00:03:52,480 --> 00:03:59,640
155
+ ู†ูุชุฑุถ ุฃู† ู‡ูŠ ุฑุจุนูŠู† ุณู†ุฉ ุชู‚ุฑูŠุจุงุŒ ู…ุด ู‡ูŠูƒุŸ
156
+
157
+ 40
158
+ 00:03:59,640 --> 00:04:05,600
159
+ ุจุนุฏ ุงู„ุนู„ู…ูŠุฉ ุจูŠุจุฏูˆ ูˆุงุญุฏ ุนุงูŠุดุŒ ูŠูƒุจุฑ ูˆ ุจุฎู„ุตู„ูˆ ูƒุงู†
160
+
161
+ 41
162
+ 00:04:05,600 --> 00:04:08,440
163
+ ุงู„ุงุฑุจุนูŠู† ููŠ ุงู„ู…ุชุตู ุจุณู…ูŠู‡ symmetric distribution
164
+
165
+ 42
166
+ 00:04:08,440 --> 00:04:13,960
167
+ ุชูˆุฒูŠุน ู…ุชู…ุซู„ ู…ุน ูƒุฏู‡ ุงูŠุด ู…ุชู…ุซู„ ูŠุนู†ูŠ ุงู„ area to the
168
+
169
+ 43
170
+ 00:04:13,960 --> 00:04:20,400
171
+ right equals area to the left ู…ุน ูƒุฏู‡ the minimum
172
+
173
+ 44
174
+ 00:04:20,400 --> 00:04:24,660
175
+ splits the curve into two equal pieces ุงุชู†ูŠู† ุฒูŠ
176
+
177
+ 45
178
+ 00:04:24,660 --> 00:04:29,500
179
+ ุจุนุถ ูˆุงุญุฏ ุงู„ right ูˆุงู„ุชุงู†ูŠ ุงู„ left ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ุฃูˆู„
180
+
181
+ 46
182
+ 00:04:29,500 --> 00:04:34,550
183
+ ุฃูƒ๏ฟฝ๏ฟฝุฑ ุชูˆุฒูŠุน ู…ุนุฑูˆู ุงู„ normal distributionูˆู‡ุฐุง ู‡ุงุฑูƒุฒ
184
+
185
+ 47
186
+ 00:04:34,550 --> 00:04:37,110
187
+ ุนู„ูŠู‡ ุทุจุนุง ุงู†ุช ุจุงู„ู†ุณุจุงู„ูƒ ู…ู‡ู… ุฌุฏุง ุงู†ุช ูุงู‡ู…ูŠู† ุงู†ู‡
188
+
189
+ 48
190
+ 00:04:37,110 --> 00:04:40,950
191
+ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ ูƒู„ ุงู„ chapters ุงู„ู„ูŠ ุฌุงูŠุฉ ูŠุนู†ูŠ ู„ุบุงูŠุฉ ู…ุง
192
+
193
+ 49
194
+ 00:04:40,950 --> 00:04:46,130
195
+ ูŠุฎู„ุต ุงู„ semester ูƒู„ ุดุบู„ ุนู„ู‰ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ so now
196
+
197
+ 50
198
+ 00:04:46,130 --> 00:04:48,970
199
+ let's start what are the objectives for this
200
+
201
+ 51
202
+ 00:04:48,970 --> 00:04:52,590
203
+ distribution mainly for this chapter there are
204
+
205
+ 52
206
+ 00:04:52,590 --> 00:04:58,410
207
+ three features or three objectives one to compute
208
+
209
+ 53
210
+ 00:04:58,410 --> 00:05:01,670
211
+ probabilities from the normal distribution ุจุชุญุณุจ
212
+
213
+ 54
214
+ 00:05:01,670 --> 00:05:06,520
215
+ ุงุญุชู…ุงู„ู‡ุงุซุงู†ูŠู‹ุงุŒ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ
216
+
217
+ 55
218
+ 00:05:06,520 --> 00:05:12,140
219
+ ู„ุชุญุณูŠู† ุชุทุจูŠู‚ุงุช ุญู‚ูŠู‚ูŠุฉ ุงู„ุญูŠุงุฉ ููŠ ุงู„ู…ุนุงู…ู„ุงุชุŒ ุฎุตูˆุตู‹ุง
220
+
221
+ 56
222
+ 00:05:12,140 --> 00:05:16,340
223
+ ููŠ ุงู„ุดุฑูƒุฉุŸ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ
224
+
225
+ 57
226
+ 00:05:16,340 --> 00:05:21,980
227
+ ู„ุชุญุณูŠู† ุงู„ู…ุดุงูƒู„ ููŠ ุงู„ุดุฑูƒุฉุŸ ูˆุฃุฎูŠุฑู‹ุงุŒ ุณู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง
228
+
229
+ 58
230
+ 00:05:21,980 --> 00:05:27,000
231
+ ุงุณุชุฎุฏุงู… ุดูŠุก ูŠุณู…ู‰ ุจูˆุงุณุทุฉ ุงู„ูˆุงู‚ุนูŠุฉ ุงู„ุทุจูŠุนูŠุฉ ู„ุชุญุณูŠู†
232
+
233
+ 59
234
+ 00:05:27,000 --> 00:05:31,260
235
+ ู…ุง ุฅุฐุง ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุจูŠุงู†ุงุช ู…ู‚ุงุฑู†ุฉ ุจุดูƒู„ ุทุจูŠุนูŠุŸ
236
+
237
+ 60
238
+ 00:05:34,690 --> 00:05:41,210
239
+ ุจุชุฐูƒุฑ ุงู†ู†ุง ุงุณุชุฎุฏู…ู†ุง ุงู„ู€ z-score ู„ุชุชุฃูƒุฏ
240
+
241
+ 61
242
+ 00:05:41,210 --> 00:05:47,130
243
+ ุงู† ุงูŠ ู‚ูŠู…ุฉ ูƒุงู†ุช
244
+
245
+ 62
246
+ 00:05:47,130 --> 00:05:56,990
247
+ ุชุนุชุจุฑ ุงูƒุชุฑูŠู… ุงูˆ ุงูˆุงุช ู„ูŠุฑ ุจุธุจุท ูŠุนู†ูŠ ููŠ ุงู„ู€ chapter
248
+
249
+ 63
250
+ 00:05:56,990 --> 00:06:01,710
251
+ 3 ุญูƒูŠู†ุง ุนู† ุงู„ูƒู„ุงู… ุงุณุชุฎุฏู…ู†ุง ุงู„ z-score ู„ูˆ ูƒุงู† ุนู†ุฏู‰
252
+
253
+ 64
254
+ 00:06:01,710 --> 00:06:04,870
255
+ data point ูˆุงุญุฏุฉ ู‚ูŠู…ุฉ ูˆุงุญุฏุฉูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู†
256
+
257
+ 65
258
+ 00:06:04,870 --> 00:06:10,910
259
+ ู‡ุฐุง ุงู„ูˆุถุน ุฃูˆ ู‡ุฐุง ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู…ูˆุฌูˆุฏ ุฃูˆ ู„ูŠุณ ู…ูˆุฌูˆุฏุŸ
260
+
261
+ 66
262
+ 00:06:10,910 --> 00:06:20,490
263
+ ู„ูƒู† ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ู…ุฑูƒุฒู†ุง ุนู„ู‰ ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ุงู„ุขู† ู‡ู„
264
+
265
+ 67
266
+ 00:06:20,490 --> 00:06:27,870
267
+ ู‡ุฐุง ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู…ุฌู…ูˆุนุฉ ุฃูˆ ู„ูŠุณุŸ ู†ุจุญุซ ุนู† ุงู„ุจูŠุงู†ุงุช
268
+
269
+ 68
270
+ 00:06:27,870 --> 00:06:33,710
271
+ ุชู…ุงู…ุฉุŒ ู„ุฐู„ูƒ ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุชู‡ู„ ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุทุจูŠุนูŠุฉ ุงูˆ
272
+
273
+ 69
274
+ 00:06:33,710 --> 00:06:37,750
275
+ ู„ูŠุณ ุทุจูŠุนูŠุฉุŸ ู‡ุฐุง ู‡ุฏูู†ุง ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ุŒ ู„ุฐู„ูƒ ููŠ ู‚ุตุฉ T
276
+
277
+ 70
278
+ 00:06:37,750 --> 00:06:43,330
279
+ ู†ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ูˆุงุญุฏุฉ ู‚ูŠู…ุฉ ู‡ู†ุง ู†ุฑูƒุฒ ุนู„ู‰ ุฌู…ูŠุน ู…ุฌู…ูˆุนุฉ
280
+
281
+ 71
282
+ 00:06:43,330 --> 00:06:47,810
283
+ ุงู„ุจูŠุงู†ุงุช ู‡ู„ ู‡ูŠ ุชู‚ุฑูŠุจุง ุทุจูŠุนูŠุฉ ุงูˆ ู„ูŠุณ ุทุจูŠุนูŠุฉุŸ ุณุฃุจุฏุฃ
284
+
285
+ 72
286
+ 00:06:47,810 --> 00:06:54,090
287
+ ู…ุน ุงู„ูˆุงุถุญุฉ ู„ุชู†ู…ูŠุฉ ุทุจูŠุนูŠุฉ ุซู… ุณู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ู…ู‡ู…ุฉ
288
+
289
+ 73
290
+ 00:06:54,090 --> 00:06:54,810
291
+ ุงู„ุฃูˆู„ู‰
292
+
293
+ 74
294
+ 00:06:57,570 --> 00:07:00,330
295
+ ู„ู†ุจุฏุฃ ู…ุน continuous probability distributions
296
+
297
+ 75
298
+ 00:07:31,070 --> 00:07:43,210
299
+ ููŠ ุงู„ุจูŠุงู†ุงุช ู‡ู†ุงูƒ ุงุชุฌุงุฑุงุช ู…ุฎุชู„ูุฉ ุชุณู…ู‰ ูƒุชู†ูˆุณ ูƒุชู†ูˆุณ
300
+
301
+ 76
302
+ 00:07:43,210 --> 00:07:50,910
303
+ ูƒุชู†ูˆุณ ูƒุชู†ูˆุณ ู‡ูŠ ูƒุชู†ูˆุณ ุชุณุชุฎุฏู… ุงูŠ ู‚ูŠู…ุฉ ุชุณุชุฎุฏู… ุงูŠ ู‚ูŠู…ุฉ
304
+
305
+ 77
306
+ 00:07:50,910 --> 00:07:54,410
307
+ ุชุณุชุฎุฏู…
308
+
309
+ 78
310
+ 00:07:54,410 --> 00:08:00,730
311
+ ุงูŠ ู‚ูŠู…ุฉ ุชุณุชุฎุฏู…ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู„ูˆ ูƒู†ุง ู†ุชูƒู„ู… ุนู†
312
+
313
+ 79
314
+ 00:08:00,730 --> 00:08:12,570
315
+ ุงู„ูˆุถุน ูˆ ู„ูˆ ุฃู† ุงู„ูˆุถุน ูŠุชุฌุงูˆุฒ ู…ู† 60 ูƒูŠู„ูˆ ุฌุฑุงู… ุฅู„ู‰ 75
316
+
317
+ 80
318
+ 00:08:12,570 --> 00:08:17,790
319
+ ูƒูŠู„ูˆ ุฌุฑุงู…ุŒ ูู…ุน ูƒู… ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ุจูŠู†ู‡ู…ุŸ
320
+
321
+ 81
322
+ 00:08:25,810 --> 00:08:31,630
323
+ how many values ุงู†ู‡ุง
324
+
325
+ 82
326
+ 00:08:31,630 --> 00:08:37,610
327
+ ู„ูˆ ุญูƒูŠุช ูˆุฒู†ู‡ุง ู…ู† 60 ู„ 75 ู…ู…ูƒู† ูˆุงุญุฏ ูŠูƒูˆู† ูˆุฒู†ู‡ 63.5
328
+
329
+ 83
330
+ 00:08:37,610 --> 00:08:47,190
331
+ ู…ู…ูƒู† ูˆุงุญุฏ ูŠูƒูˆู† ูˆุฒู†ู‡ 69.980 ูŠุนู†ูŠ ูƒุชูŠุฑ ูŠุนู†ูŠ ู…ุน ูƒุฏู‡
332
+
333
+ 84
334
+ 00:08:47,190 --> 00:08:51,710
335
+ there are infinite values
336
+
337
+ 85
338
+ 00:08:51,710 --> 00:08:57,270
339
+ in this case ุนุฏุฏ ู„ุงู†ู‡ูŠ ุจุงู„ู‚ูŠุงู…ู„ูˆ ุญูƒูŠุชู„ูƒ ุงู„
340
+
341
+ 86
342
+ 00:08:57,270 --> 00:09:00,350
343
+ cellphone ุงู„ู„ูŠ ู…ุนู†ุงู‡ ุงู„ุฌูˆุงู„ุงุช ุงู„ุณู…ูƒ ุชุจุนู‡ุง
344
+
345
+ 87
346
+ 00:09:00,350 --> 00:09:06,870
347
+ thickness ู…ูุชุฑุถ ู…ู† one centimeter to three
348
+
349
+ 88
350
+ 00:09:06,870 --> 00:09:11,490
351
+ centimeters how many values are between one and
352
+
353
+ 89
354
+ 00:09:11,490 --> 00:09:15,830
355
+ three infinite numbers suppose we are talking
356
+
357
+ 90
358
+ 00:09:15,830 --> 00:09:20,310
359
+ about temperature from
360
+
361
+ 91
362
+ 00:09:20,310 --> 00:09:27,460
363
+ suppose 36 up to 40it could be 36.1.2.3 and so on
364
+
365
+ 92
366
+ 00:09:27,460 --> 00:09:31,200
367
+ so there are infinite number of values so a
368
+
369
+ 93
370
+ 00:09:31,200 --> 00:09:33,960
371
+ continuous variable is a variable can take or can
372
+
373
+ 94
374
+ 00:09:33,960 --> 00:09:38,060
375
+ assume any value ุงูŠู‡ ู„ูˆ ุงูŠ ๏ฟฝ๏ฟฝูŠู…ุฉ for example
376
+
377
+ 95
378
+ 00:09:38,060 --> 00:09:42,900
379
+ thickness of an item ุณู…ูƒ ู„ุดุบู„ ู…ุนูŠู†ุฉ time required
380
+
381
+ 96
382
+ 00:09:42,900 --> 00:09:46,320
383
+ to complete a task ุงู„ูˆู‚ุช ุงู„ู„ูŠ ู„ุงุฒู… ุฃูˆ ุงู„ูˆู‚ุช ุงู„ู„ูŠ
384
+
385
+ 97
386
+ 00:09:46,320 --> 00:09:50,100
387
+ ู„ุงุฒู… ุชุฎู„ุต ู…ู‡ู…ุฉ ุงูˆ ุงู†ุฌุงุฒ ู…ู‡ู…ุฉ ู…ู…ูƒู† ุงู„ุฒู…ู† could be
388
+
389
+ 98
390
+ 00:09:50,100 --> 00:09:58,600
391
+ ุจุชุนุฑู ููŠ ุงู„ runningู…ุณุงุจู‚ุงุช ุงู„ุฌุฑูŠ ู…ู…ูƒู† ูŠุฎู„ุต ุงู„ู…ุณุงูุฉ
392
+
393
+ 99
394
+ 00:09:58,600 --> 00:10:03,900
395
+ ููŠ 10 second ูŠุนู†ูŠ
396
+
397
+ 100
398
+ 00:10:03,900 --> 00:10:10,260
399
+ 10.4 ู…ุน ูƒุฏู‡ ุฏู‡ ุนุจุงุฑุฉ ุนู† fraction ู…ู…ูƒู† 3.6 and so
400
+
401
+ 101
402
+ 00:10:10,260 --> 00:10:15,340
403
+ on so if we have a fraction it means we are
404
+
405
+ 102
406
+ 00:10:15,340 --> 00:10:17,800
407
+ talking about continuous
408
+
409
+ 103
410
+ 00:10:19,670 --> 00:10:23,190
411
+ height of a solution height in inches temperature
412
+
413
+ 104
414
+ 00:10:23,190 --> 00:10:27,550
415
+ of a solution these are values these values are
416
+
417
+ 105
418
+ 00:10:27,550 --> 00:10:31,450
419
+ infinite number I mean uncountable we cannot count
420
+
421
+ 106
422
+ 00:10:31,450 --> 00:10:34,230
423
+ these values ูˆุงุถุญ ูŠุนู†ูŠ ุงู„ variable ุงู„ู„ูŠ ุจูŠุงุฎุฏ ุฃูŠ
424
+
425
+ 107
426
+ 00:10:34,230 --> 00:10:40,470
427
+ ู‚ูŠู… ู†ุณู…ูŠู‡ continuous ู…ุชุตู„ ุงู„ type two ู…ุด ู‡ุชูƒู„ู…
428
+
429
+ 108
430
+ 00:10:40,470 --> 00:10:45,950
431
+ ุนู„ูŠู‡ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ discrete discrete
432
+
433
+ 109
434
+ 00:10:45,950 --> 00:10:53,100
435
+ variable ู…ุด ูŠุนู†ูŠ discretediscrete ู…ุนู†ุงู‡ ู…ู†ูุตู„ ุงูˆ
436
+
437
+ 110
438
+ 00:10:53,100 --> 00:11:00,340
439
+ ู…ุชู‚ุทุน ููŠ ุงู„ discrete ุจูŠุงุฎุฏ whole number whole
440
+
441
+ 111
442
+ 00:11:00,340 --> 00:11:05,540
443
+ number ูŠุนู†ูŠ ุนุฏุฏ ุตุญูŠุญ ู„ูˆ ุญูƒูŠุช there are sixty
444
+
445
+ 112
446
+ 00:11:05,540 --> 00:11:10,040
447
+ students in this class we cannot say there are
448
+
449
+ 113
450
+ 00:11:10,040 --> 00:11:13,620
451
+ sixty point five students in this class ุงุฐุง
452
+
453
+ 114
454
+ 00:11:13,620 --> 00:11:17,360
455
+ ุจูŠุงุฎุฏุงุด whole number another example suppose there
456
+
457
+ 115
458
+ 00:11:17,360 --> 00:11:26,390
459
+ arebetween zero to six accidents per
460
+
461
+ 116
462
+ 00:11:26,390 --> 00:11:31,150
463
+ week ู…ู† ุงู„ุตูุฑ ุงู„ุณุช ุญูˆู„ุช ููŠ ุงู„ุฃุณุจูˆุนูŠ ู…ูˆุฌูˆุฏ ุงูุชุฑุถ ููŠ
464
+
465
+ 117
466
+ 00:11:31,150 --> 00:11:35,230
467
+ intersection ู…ุนูŠู† suppose now you want to guess
468
+
469
+ 118
470
+ 00:11:35,230 --> 00:11:40,230
471
+ number between zero and six for
472
+
473
+ 119
474
+ 00:11:40,230 --> 00:11:44,490
475
+ example maybe four accidents maybe three accidents
476
+
477
+ 120
478
+ 00:11:44,490 --> 00:11:48,010
479
+ maybe five but you cannot say there are five point
480
+
481
+ 121
482
+ 00:11:48,010 --> 00:11:54,770
483
+ six accidentsper week ู…ุธุจูˆุท ุจู‚ุฏุฑุด ุงุญูƒูŠ ุฎู…ุณุฉ ูˆ ุณุชุฉ
484
+
485
+ 122
486
+ 00:11:54,770 --> 00:11:58,930
487
+ ุจุชุงุฎุฏ ุนุฏุฏ ุตุญูŠุญ now suppose we are talking about
488
+
489
+ 123
490
+ 00:11:58,930 --> 00:12:04,530
491
+ number of calls you received everyday ุนุฏุฏ
492
+
493
+ 124
494
+ 00:12:04,530 --> 00:12:09,370
495
+ ุงู„ู…ูƒุงู„ู…ุงุช ุงู„ู„ูŠ ุจุณุชู‚ุจู„ู‡ุง ููŠ ุงู„ูŠูˆู… ู…ุซู„ุง ranges from
496
+
497
+ 125
498
+ 00:12:09,370 --> 00:12:14,730
499
+ zero to twenty calls ุจุฑุถู‡ ู‡ูŠุงุฎุฏ whole number for
500
+
501
+ 126
502
+ 00:12:14,730 --> 00:12:19,490
503
+ instance suppose ten calls you cannot say nine
504
+
505
+ 127
506
+ 00:12:19,490 --> 00:12:20,370
507
+ point six calls
508
+
509
+ 128
510
+ 00:12:23,190 --> 00:12:27,070
511
+ ุจุดูƒู„ ุนุงู… ูŠูˆุฌุฏ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
512
+
513
+ 129
514
+ 00:12:27,070 --> 00:12:29,970
515
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
516
+
517
+ 130
518
+ 00:12:29,970 --> 00:12:34,050
519
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
520
+
521
+ 131
522
+ 00:12:34,050 --> 00:12:41,910
523
+ ุงุชุฌุงุฑุงุช
524
+
525
+ 132
526
+ 00:12:42,800 --> 00:12:45,760
527
+ ุงู„ู„ูŠ ุงู†ุง ู‡ูˆ ุจุญูƒูŠ ุฌู…ู„ุฉ ู…ู‡ู…ุฉ ููŠ ุงู„ุขุฎุฑ this can
528
+
529
+ 133
530
+ 00:12:45,760 --> 00:12:49,700
531
+ potentially take on any value depending only on
532
+
533
+ 134
534
+ 00:12:49,700 --> 00:12:52,400
535
+ the ability to precisely and accurately measure
536
+
537
+ 135
538
+ 00:12:52,400 --> 00:12:56,800
539
+ ุชุนุชู…ุฏ ุนู„ู‰ ุฌุฏุงุด ุนู†ุฏูƒ ุฏู‚ุฉ ุงู„ู‚ูŠุงุณ ู„ูˆ ูˆุงุญุฏ ุจุฌูŠุณ ุทูˆู„ูŠ
540
+
541
+ 136
542
+ 00:12:56,800 --> 00:13:08,380
543
+ ู…ูŠุฉ ู†ูุชุฑุถ ุจุฌูŠุณ ุตุญ ู‡ุญูƒูŠ ุทูˆู„ูŠ 160.75 cm it means
544
+
545
+ 137
546
+ 00:13:08,380 --> 00:13:08,900
547
+ height
548
+
549
+ 138
550
+ 00:13:11,710 --> 00:13:17,910
551
+ ู‡ูˆ ู…ุซุงู„ ู…ุณุชู…ุฑ ุฃูˆ ู…ุณุชู…ุฑุŸ ู…ุณุชู…ุฑ ูุงู„ู‚ูˆุฉ ู…ุณุชู…ุฑุฉุŒ ู…ุฎุตุตุฉ
552
+
553
+ 139
554
+ 00:13:17,910 --> 00:13:21,010
555
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
556
+
557
+ 140
558
+ 00:13:21,010 --> 00:13:21,010
559
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
560
+
561
+ 141
562
+ 00:13:21,010 --> 00:13:26,090
563
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
564
+
565
+ 142
566
+ 00:13:26,090 --> 00:13:27,890
567
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
568
+
569
+ 143
570
+ 00:13:27,890 --> 00:13:39,050
571
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุต
572
+
573
+ 144
574
+ 00:13:40,870 --> 00:13:46,270
575
+ ุจูŠู„ ุดูŠุจุฏ ุดูƒู„ ุงู„ุฌุฑุณ ู…ุชู…ุซู„
576
+
577
+ 145
578
+ 00:13:46,270 --> 00:13:52,970
579
+ ู…ูŠู† ู…ูˆุฏ ู…ูŠุฏูŠุงู† ุงูˆ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
580
+
581
+ 146
582
+ 00:13:52,970 --> 00:13:53,050
583
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ๏ฟฝ๏ฟฝูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
584
+
585
+ 147
586
+ 00:13:53,050 --> 00:13:54,970
587
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
588
+
589
+ 148
590
+ 00:13:54,970 --> 00:13:56,430
591
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
592
+
593
+ 149
594
+ 00:13:56,430 --> 00:13:58,230
595
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
596
+
597
+ 150
598
+ 00:13:58,230 --> 00:14:10,470
599
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุช
600
+
601
+ 151
602
+ 00:14:11,480 --> 00:14:14,460
603
+ and is a measure of central tendency ู…ู‚ูŠุงุณ ู…ู†
604
+
605
+ 152
606
+ 00:14:14,460 --> 00:14:21,300
607
+ ู…ู‚ูŠู‘ุณ ุงู„ู†ุฒุน ุงู„ู…ุฑูƒุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ุฎุงู„ุต is
608
+
609
+ 153
610
+ 00:14:21,300 --> 00:14:27,060
611
+ a normal distribution has two parameters ู…ูŠูˆ
612
+
613
+ 154
614
+ 00:14:27,060 --> 00:14:35,560
615
+ this is location is a measure of spread sigma
616
+
617
+ 155
618
+ 00:14:37,880 --> 00:14:44,920
619
+ ูˆุงู„ู…ุนู†ู‰ ู‡ูˆ ู…ุฌู…ูˆุนุฉ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฌู…ูˆุนุฉ ู…ุฑูƒุฒูŠุฉ ุงูˆ
620
+
621
+ 156
622
+ 00:14:44,920 --> 00:14:47,480
623
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
624
+
625
+ 157
626
+ 00:14:47,480 --> 00:14:48,860
627
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
628
+
629
+ 158
630
+ 00:14:48,860 --> 00:14:50,020
631
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
632
+
633
+ 159
634
+ 00:14:50,020 --> 00:14:53,060
635
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
636
+
637
+ 160
638
+ 00:14:53,060 --> 00:14:53,360
639
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
640
+
641
+ 161
642
+ 00:14:53,360 --> 00:14:56,200
643
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ
644
+
645
+ 162
646
+ 00:14:56,200 --> 00:15:05,870
647
+ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒูŠุฉ ุงูˆ ู…ุฑูƒุฒู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ู…ูƒู† ุชุฃุฎุฐ ุฃูŠ ู‚ูŠู…
648
+
649
+ 163
650
+ 00:15:05,870 --> 00:15:10,790
651
+ ู…ู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ุฅุถุงููŠ ุฅู„ู‰ ู†ู‚ู„ ุฅุถุงููŠ ู„ุฅูŠู‡ ุจูŠุงุฎุฏ ุฃูŠ
652
+
653
+ 164
654
+ 00:15:10,790 --> 00:15:14,790
655
+ ู‚ูŠู… ุณู„ุจ ู„ุนูŠุท plus ู„ุฃู†ู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏ ุงู„
656
+
657
+ 165
658
+ 00:15:14,790 --> 00:15:20,730
659
+ temperature ุงู„ temperature could be negative ู„ู…ุง
660
+
661
+ 166
662
+ 00:15:20,730 --> 00:15:27,230
663
+ ุงุชูƒู„ู… ุนู† ุงู„ sales is always positive if we are
664
+
665
+ 167
666
+ 00:15:27,230 --> 00:15:32,110
667
+ talking about unemployment unemployment
668
+
669
+ 168
670
+ 00:15:32,110 --> 00:15:33,490
671
+ rates
672
+
673
+ 169
674
+ 00:15:36,240 --> 00:15:40,080
675
+ ุจุงุฒูˆุชูŠู ูˆุนุฏู„ุงุช ุงู„ุจุทุงู„ุฉ ุฏูŠ ู‡ูŠ ุงู„ู…ู†ู…ูˆุฌุฉ ุจู‚ู‰ ู…ุงููŠุด
676
+
677
+ 170
678
+ 00:15:40,080 --> 00:15:44,560
679
+ ู…ุทุงู„ุจ ู†ูŠุฌุงุชูŠู ู„ูƒู†
680
+
681
+ 171
682
+ 00:15:44,560 --> 00:15:47,720
683
+ ุงุฐุง ุจุญูƒูŠ ุนู„ู‰ ู…ุซู„ุง ุงู„ temperature could be negative
684
+
685
+ 172
686
+ 00:15:47,720 --> 00:15:50,800
687
+ ุชุบูŠูŠุฑุงุช
688
+
689
+ 173
690
+ 00:15:50,800 --> 00:15:53,480
691
+ ุงู„ุญุฑุงุฑุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„ variable ูŠุงุฎุฏ plus or
692
+
693
+ 174
694
+ 00:15:53,480 --> 00:15:58,020
695
+ negative values ุงุฐุง random variable has an
696
+
697
+ 175
698
+ 00:15:58,020 --> 00:16:01,040
699
+ infinite theoretical range from minus infinity up
700
+
701
+ 176
702
+ 00:16:01,040 --> 00:16:05,400
703
+ to plus infinity now this is the meanุงู„ู‚ูŠู…ุฉ ููŠ
704
+
705
+ 177
706
+ 00:16:05,400 --> 00:16:12,400
707
+ ุงู„ุฃูˆุณุท ูˆุงู„ุณูŠุฌู…ุง ูู‚ุท ุงู„ู…ุดุฑูˆุน ุญูˆู„ ุงู„ู…ุตุทู„ุญ ุงู„ุขู† ุฅุฐุง
708
+
709
+ 178
710
+ 00:16:12,400 --> 00:16:16,060
711
+ ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐุง ุงู„ุณูŠุฌู…ุง ุฑุจู…ุง ุงู„ุณูŠุฌู…ุง ู…ุซู„ุง ู‡ูˆ ูˆุงุญุฏ
712
+
713
+ 179
714
+ 00:16:16,060 --> 00:16:21,680
715
+ ุฑุจู…ุง ุงู„ู…ุตุทู„ุญ ู‡ูˆ 50 ุฃูˆ 70 ูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ
716
+
717
+ 180
718
+ 00:16:21,680 --> 00:16:24,900
719
+ ู„ุฏูŠู†ุง
720
+
721
+ 181
722
+ 00:16:24,900 --> 00:16:29,920
723
+ ุงู„ูˆุถุน
724
+
725
+ 182
726
+ 00:16:29,920 --> 00:16:33,720
727
+ ุนุงุฏู‰ ุงู„ูˆุถุน ุนุงุฏู‰ ุงู„ูˆุถุน ุนุงุฏู‰ ุงู„ูˆุถุน
728
+
729
+ 183
730
+ 00:16:35,250 --> 00:16:41,250
731
+ ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู„ู† ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ู„ุชุญุฏูŠุซ ุงู„ู…ูŠุฒุฉ
732
+
733
+ 184
734
+ 00:16:41,250 --> 00:16:44,970
735
+ ูŠุนู†ูŠ ุงู„ู…ูŠุฒุฉ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุด ู‡ู†ุณุชุฎุฏู…ู‡ุง ู…ุฌุฑุฏ ูˆุญุทู‡ุง ููŠ
736
+
737
+ 185
738
+ 00:16:44,970 --> 00:16:48,410
739
+ ุงู„ูƒุชุงุจ ุงู†ู‡ ุนุฑูู‡ุง ุฏูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠุฒุฉ ู„ู†ูˆุฑู…ุงู„
740
+
741
+ 186
742
+ 00:16:48,410 --> 00:16:53,030
743
+ ุฏุณุชุฑุจูŠูˆุดู† ู„ุฐู„ูƒ ู†ู†ู‚ู„ ู‡ุฐุง ุงู„ุตูุญุฉ ูŠุนู†ูŠ ู…ุด ู‡ู†ุณุชุฎุฏู… ู‡ุฐุง
744
+
745
+ 187
746
+ 00:16:53,030 --> 00:16:57,390
747
+ ุงู„ุตูุญุฉ ุงู„ุตูุญุฉ
748
+
749
+ 188
750
+ 00:16:57,390 --> 00:16:58,530
751
+ ุงู„ู„ูŠ ูุงุชุช ู…ุด ู‡ู†ุงุฎุฏู‡ุง
752
+
753
+ 189
754
+ 00:17:01,790 --> 00:17:08,710
755
+ ุงู†ุธุฑูˆุง ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุฃุดูƒุงู„ ุฃูˆ ุฃุดูƒุงู„ A,B ูˆC ุงู†ุธุฑูˆุง
756
+
757
+ 190
758
+ 00:17:08,710 --> 00:17:14,150
759
+ ุญุฐุฑุงู‹ ู„ู€ A ูˆB ูˆุงู†ุธุฑูˆุง ุฅู„ู‰ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุฃุดูƒุงู„ A ูˆY
760
+
761
+ 191
762
+ 00:17:14,150 --> 00:17:23,290
763
+ ูˆB ุงู†ุธุฑูˆุง ุฅู„ู‰ ุงุชู†ูŠู† ู‡ุฐูŠู† ูƒู„ุงู‡ู…ุง ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู€mean
764
+
765
+ 192
766
+ 00:17:26,820 --> 00:17:31,540
767
+ ู…ุธุจูˆุท ู†ูุณ ุงู„ mean ู„ูƒู† ู„ูˆ ุทู„ุนุช ุนู„ูŠ ุงู„ spread a less
768
+
769
+ 193
770
+ 00:17:31,540 --> 00:17:38,500
771
+ a is less so graph a ุงู„ู„ูŠ ู‡ูˆ a ุงู„ higher one is
772
+
773
+ 194
774
+ 00:17:38,500 --> 00:17:45,280
775
+ less spread than b ู„ูˆ ุทู„ุนุช ุนู„ูŠู‡ู… ู‡ุงูŠ a ู†ูุช๏ฟฝ๏ฟฝุถ ู‡ุงูŠ
776
+
777
+ 195
778
+ 00:17:45,280 --> 00:17:50,000
779
+ ุงู„ spread ุชุจุนู‡ ุจุณ b ู…ุงู„ู‡ ุฃูƒุจุฑ ุดูˆูŠุฉ ูุจุงู„ุชุงู„ูŠ ู„ุฐุง
780
+
781
+ 196
782
+ 00:17:50,000 --> 00:17:55,000
783
+ ุดูˆูŠุฉ ู…ุน ูƒุฏู‡ graph a and b have the same mean but
784
+
785
+ 197
786
+ 00:17:55,000 --> 00:17:59,320
787
+ different spreadุฅุฐุงู‹ a ูˆ b ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู…ุนู†ู‰ ูˆู„ูƒู†
788
+
789
+ 198
790
+ 00:17:59,320 --> 00:18:08,280
791
+ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ุทุจ ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ b ูˆ ุงู„ c ุงู„
792
+
793
+ 199
794
+ 00:18:08,280 --> 00:18:12,020
795
+ b ู‡ูŠ ุงู„ b ูˆ ู‡ูŠ ุงู„ c ุงู„ c ุงู„ู„ูŠ ุชุญุช ุฎุงู„ุต ุงู„ bottom
796
+
797
+ 200
798
+ 00:18:12,020 --> 00:18:21,960
799
+ one ุงู„ ู…ุนู†ู‰ ุงู„ b ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุนู†ู‰ ุงู„ c ุจูŠุฎุชู„ู
800
+
801
+ 201
802
+ 00:18:21,960 --> 00:18:28,590
803
+ ูˆุงุถุญุชูŠู† ุฃุฒุงูŠ ุจุนุฏุŸุงู„ุฎุทุฉ a ูˆb ู„ุฏูŠู‡ุง ู…ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ู„ูˆ
804
+
805
+ 202
806
+ 00:18:28,590 --> 00:18:35,450
807
+ ุทู„ุนุช ุนู„ู‰ ุงู„ spread ุจุฑุถู‡ ุงู„ spread ู…ุฎุชู„ู ู„ุฃู† I ุจูŠ ูˆ
808
+
809
+ 203
810
+ 00:18:35,450 --> 00:18:38,890
811
+ I ุณูŠ ุจูŠ
812
+
813
+ 204
814
+ 00:18:38,890 --> 00:18:46,070
815
+ ูˆ ุณูŠ ู„ุฏูŠู‡ุง ู…ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ
816
+
817
+ 205
818
+ 00:18:46,070 --> 00:18:46,210
819
+ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ
820
+
821
+ 206
822
+ 00:18:46,210 --> 00:18:46,210
823
+ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ
824
+
825
+ 207
826
+ 00:18:46,210 --> 00:18:46,210
827
+ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ
828
+
829
+ 208
830
+ 00:18:46,210 --> 00:18:46,230
831
+ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ
832
+
833
+ 209
834
+ 00:18:46,230 --> 00:18:50,090
835
+ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ ุณูŠ ุจูŠ ูˆ
836
+
837
+ 210
838
+ 00:18:54,370 --> 00:18:59,310
839
+ ุฑุจู…ุง ูŠูƒูˆู† ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู…ุนู†ู‰ ู„ูƒู†
840
+
841
+ 211
842
+ 00:18:59,310 --> 00:19:03,510
843
+ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ุฃูˆ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ูˆู…ุฎุชู„ูุฉ ุฃูŠุถู‹ุง
844
+
845
+ 212
846
+ 00:19:03,510 --> 00:19:08,310
847
+ ู…ุนุงู†ุงุฉ ู…ุฎุชู„ูุฉ ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุณุชุทูŠุน ุงู„ุญุตูˆู„
848
+
849
+ 213
850
+ 00:19:08,310 --> 00:19:12,150
851
+ ุนู„ู‰ ู…ุฌู…ูˆุนุงุช ุนุงุฏูŠุฉ ุนุงุฏูŠุฉ
852
+
853
+ 214
854
+ 00:19:12,150 --> 00:19:15,850
855
+ ู„ู…ุงุฐุง
856
+
857
+ 215
858
+ 00:19:15,850 --> 00:19:25,010
859
+ ุนุงุฏูŠุฉุŸ ู„ุฃู† ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุนุงุฏูŠุฉ ุชุนุชู…ุฏ ุนู„ู‰ ู…ูŠูˆูˆุงู„ู…ุนู†ู‰
860
+
861
+ 216
862
+ 00:19:25,010 --> 00:19:29,810
863
+ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† positive ุฃูˆ negative ูŠุนู†ูŠ ุชุฃุฎุฐ ู‚ูŠู…ุฉ
864
+
865
+ 217
866
+ 00:19:29,810 --> 00:19:33,510
867
+ ู…ุฎุชู„ูุฉ ุฃูŠ ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ู…ู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ูˆู…ุน
868
+
869
+ 218
870
+ 00:19:33,510 --> 00:19:37,830
871
+ ุฐู„ูƒ ุงู„ูˆุถุน ุงู„ุนุงุฏู‰ ูŠุนุชู…ุฏ ุนู„ู‰ ุณูŠุฌู…ุง ูˆุณูŠุฌู…ุง ุฏุงุฆู…ุง
872
+
873
+ 219
874
+ 00:19:37,830 --> 00:19:43,090
875
+ positive ู…ู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ู†ู‚ู„ ุฅู„ู‰ ู†ู‚ู„
876
+
877
+ 220
878
+ 00:19:43,090 --> 00:19:48,850
879
+ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง ุนุฏุฏ ุนุงุฏู‰ ู…ู† ุงู„ูˆุถุน ุงู„ุนุงุฏู‰ ูŠุนู†ูŠ
880
+
881
+ 221
882
+ 00:19:48,850 --> 00:19:52,580
883
+ ููŠ ู‡ู†ุง ุนุฏุฏ ูƒุจูŠุฑ ู„ุฃู† ู‡ูŠ ุฃู…ูŠู† ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠู„ูˆ
884
+
885
+ 222
886
+ 00:19:52,580 --> 00:19:56,740
887
+ ุทุงู„ู…ุง ุงู„ู€ mu ุจุชุงุฎุฏ ุฃูŠ ู‚ูŠู…ุฉ ูˆ ุงู„ sigma ุจุชุงุฎุฏ
888
+
889
+ 223
890
+ 00:19:56,740 --> 00:20:00,440
891
+ positive ู…ุน ูƒุฏู‡ ู„ูˆ ุงู†ุง ุจุฏูŠ ุงุนู…ู„ combination ู„ู‡ู…
892
+
893
+ 224
894
+ 00:20:00,440 --> 00:20:05,280
895
+ ู…ู…ูƒู† ุงุญูƒูŠ normal with mean 50 and sigma 1 ู‡ุฐุง ู‡ูˆ
896
+
897
+ 225
898
+ 00:20:05,280 --> 00:20:10,140
899
+ ู…ุซุงู„ ู…ู…ูƒู† ูˆุงุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠ ุงู„ mean the same the same
900
+
901
+ 226
902
+ 00:20:10,140 --> 00:20:17,200
903
+ mean but different sigma, sigma is twoุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู†
904
+
905
+ 227
906
+ 00:20:17,200 --> 00:20:22,420
907
+ ู…ุฎุชู„ู ูŠุนู†ูŠ ู…ูŠูˆ ูŠู‚ู„ ุณุชุฉ ูˆุณูŠุฌู…ุง ูŠู‚ู„ ุฃุฑุจุนุฉ ูู‡ุฐุง A
908
+
909
+ 228
910
+ 00:20:22,420 --> 00:20:27,920
911
+ ู…ุซู„ุง B ูˆC ูู‡ูˆ ูู‚ุท ุซู„ุงุซุฉ ู…ุซุงู„ A ูˆB ุงุฐุง ุชู†ุธุฑ ู‡ู†ุง A
912
+
913
+ 229
914
+ 00:20:27,920 --> 00:20:35,680
915
+ ูˆB ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู…ูŠุงู†ุจุนุฏ ุฐู„ูƒ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
916
+
917
+ 230
918
+ 00:20:35,680 --> 00:20:39,240
919
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
920
+
921
+ 231
922
+ 00:20:39,240 --> 00:20:43,600
923
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
924
+
925
+ 232
926
+ 00:20:43,600 --> 00:20:50,120
927
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ B ูˆC
928
+
929
+ 233
930
+ 00:20:50,120 --> 00:20:54,860
931
+ ุจุฑู†ุงู…ุฌ B ูˆC ุจุฑู†ุงู…ุฌ
932
+
933
+ 234
934
+ 00:20:56,680 --> 00:20:58,280
935
+ ุจุณูŠุทุฉ ุนู„ู‰ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
936
+
937
+ 235
938
+ 00:20:58,280 --> 00:20:59,020
939
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
940
+
941
+ 236
942
+ 00:20:59,020 --> 00:21:00,460
943
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
944
+
945
+ 237
946
+ 00:21:00,460 --> 00:21:03,960
947
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
948
+
949
+ 238
950
+ 00:21:03,960 --> 00:21:07,200
951
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
952
+
953
+ 239
954
+ 00:21:07,200 --> 00:21:08,500
955
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
956
+
957
+ 240
958
+ 00:21:08,500 --> 00:21:08,500
959
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
960
+
961
+ 241
962
+ 00:21:08,500 --> 00:21:08,500
963
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
964
+
965
+ 242
966
+ 00:21:08,500 --> 00:21:08,500
967
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
968
+
969
+ 243
970
+ 00:21:08,500 --> 00:21:15,580
971
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
972
+
973
+ 244
974
+ 00:21:15,580 --> 00:21:22,660
975
+ ุนู…ู„
976
+
977
+ 245
978
+ 00:21:22,750 --> 00:21:25,110
979
+ ุฅุฐุง ูƒุฏู‡ ุงู„ standard .. ุงู„ normal ุดูˆูŠุฉ ุตุนุจ
980
+
981
+ 246
982
+ 00:21:25,110 --> 00:21:31,270
983
+ ุจุงู„ู†ุณุจุงู„ู†ุง ู„ุฃู†ู‡ ุจูŠุงุฎุฏ ู…ูŠูˆุฒ ูˆ ุณูŠุฌู…ุงุฒ ู…ุฎุชู„ูุฉ ุจุงู„ู†ุญุงู„
984
+
985
+ 247
986
+ 00:21:31,270 --> 00:21:35,150
987
+ ุฃุณู‡ู„ ููŠ ุงู„ุชุนุงู…ู„ ู„ุณู‡ ุงู„ู„ูŠ ุงุญู†ุง ู†ุญูƒูŠ ุนู„ูŠู‡ ุงุณู…ู‡
988
+
989
+ 248
990
+ 00:21:35,150 --> 00:21:41,370
991
+ standardized normal ุฅูŠุด ูŠุนู†ูŠ standardized ู…ุนูŠุงุฑูŠ
992
+
993
+ 249
994
+ 00:21:41,370 --> 00:21:50,090
995
+ ู†ุชูƒู„ู… ุนู„ู‰ standardized normal
996
+
997
+ 250
998
+ 00:21:51,680 --> 00:22:00,060
999
+ ู‡ูˆ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุงู„ู…ุนูŠู† Now let's look at the
1000
+
1001
+ 251
1002
+ 00:22:00,060 --> 00:22:04,220
1003
+ difference between Normal distribution and this
1004
+
1005
+ 252
1006
+ 00:22:04,220 --> 00:22:07,960
1007
+ one Normal The one we just described Normal
1008
+
1009
+ 253
1010
+ 00:22:07,960 --> 00:22:11,940
1011
+ distribution Normal has different mean and sigma
1012
+
1013
+ 254
1014
+ 00:22:11,940 --> 00:22:15,000
1015
+ But
1016
+
1017
+ 255
1018
+ 00:22:15,000 --> 00:22:20,180
1019
+ for standardized normalany normal distribution ู‡ูˆ
1020
+
1021
+ 256
1022
+ 00:22:20,180 --> 00:22:27,100
1023
+ ุนุจุงุฑุฉ ุนู† ุชูˆุฒูŠุน ุทุจูŠุนูŠ with any mean and standard
1024
+
1025
+ 257
1026
+ 00:22:27,100 --> 00:22:31,280
1027
+ deviation combination can be transformed into the
1028
+
1029
+ 258
1030
+ 00:22:31,280 --> 00:22:34,900
1031
+ standardized normal ูŠุนู†ูŠ ุงู†ุง ุจุญูƒูŠ ุงูŠ ุชูˆุฒูŠุน normal
1032
+
1033
+ 259
1034
+ 00:22:34,900 --> 00:22:37,500
1035
+ ู…ู…ูƒู† ุงุญูˆู„ู‡ ู„ู…ูŠู†ุŸ ู„ู€ standardized ูˆู‡ุฐุง ุงู„ู„ูŠ ุงู†ุง
1036
+
1037
+ 260
1038
+ 00:22:37,500 --> 00:22:42,720
1039
+ ุนุงูŠุฒู‡ ุงุฐุง ุงู„ุงู† ุจู†ุนู…ู„ convert ู…ู† normal
1040
+
1041
+ 261
1042
+ 00:22:42,720 --> 00:22:48,100
1043
+ distribution ู„ standardized normalู„ูˆ ุชู‚ูˆู… ุจู…ุซุงู„ุงุช
1044
+
1045
+ 262
1046
+ 00:22:48,100 --> 00:22:50,120
1047
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1048
+
1049
+ 263
1050
+ 00:22:50,120 --> 00:22:51,240
1051
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
1052
+
1053
+ 264
1054
+ 00:22:51,240 --> 00:22:54,860
1055
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1056
+
1057
+ 265
1058
+ 00:22:54,860 --> 00:22:55,900
1059
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
1060
+
1061
+ 266
1062
+ 00:22:55,900 --> 00:22:57,380
1063
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1064
+
1065
+ 267
1066
+ 00:22:57,380 --> 00:23:02,800
1067
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
1068
+
1069
+ 268
1070
+ 00:23:02,800 --> 00:23:03,820
1071
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
1072
+
1073
+ 269
1074
+ 00:23:03,820 --> 00:23:16,280
1075
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซ
1076
+
1077
+ 270
1078
+ 00:23:19,070 --> 00:23:24,310
1079
+ ุจุชุญูˆู„ ู…ู† ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู„ู…ุนูŠุงุฑูŠ ุทูŠุจ ู…ุด ุงู„ู…ูŠุฒุฉ ุชุงุจุนุฉ
1080
+
1081
+ 271
1082
+ 00:23:24,310 --> 00:23:26,710
1083
+ ุงู„ standardized ุงู„ standardized normal
1084
+
1085
+ 272
1086
+ 00:23:26,710 --> 00:23:30,790
1087
+ distributions ู‡ูŠ has mean of zero and standard
1088
+
1089
+ 273
1090
+ 00:23:30,790 --> 00:23:35,730
1091
+ deviation of one ู‡ุฐุง ู„ุฌุฏูŠุฏ ุงู„ mean ุชุงุจุนู‡ zero ูˆ ุงู„
1092
+
1093
+ 274
1094
+ 00:23:35,730 --> 00:23:41,990
1095
+ sigma is one ุทูŠุจ ุงู„ normal ูƒุงู† ู…ุงู„ู‡ ุงู„ mean ุชุงุจุนู‡
1096
+
1097
+ 275
1098
+ 00:23:41,990 --> 00:23:44,790
1099
+ ุฃูŠ value ู…ู† ุณู„ุจ infinity ู„ plus infinity ูˆ ุงู„
1100
+
1101
+ 276
1102
+ 00:23:44,790 --> 00:23:47,490
1103
+ sigma ู…ู† zero ู„ infinity ู…ุน ูƒุฏู‡ ููŠ ู†ู‡ุงูŠุฉ ุนู†ุฏูŠ
1104
+
1105
+ 277
1106
+ 00:23:47,490 --> 00:23:51,530
1107
+ infiniteุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one value, zero and
1108
+
1109
+ 278
1110
+ 00:23:51,530 --> 00:23:59,830
1111
+ one ุจุณ
1112
+
1113
+ 279
1114
+ 00:23:59,830 --> 00:24:02,790
1115
+ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one value, zero and one ุจุณ ุฏู‡
1116
+
1117
+ 280
1118
+ 00:24:02,790 --> 00:24:04,170
1119
+ ุจูŠุงุฎุฏ ูŠุงุด just one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ
1120
+
1121
+ 281
1122
+ 00:24:04,170 --> 00:24:04,170
1123
+ ูŠุงุด just one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด
1124
+
1125
+ 282
1126
+ 00:24:04,170 --> 00:24:04,170
1127
+ just one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just
1128
+
1129
+ 283
1130
+ 00:24:04,170 --> 00:24:04,210
1131
+ one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1132
+
1133
+ 284
1134
+ 00:24:04,210 --> 00:24:04,210
1135
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1136
+
1137
+ 285
1138
+ 00:24:04,210 --> 00:24:04,750
1139
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1140
+
1141
+ 286
1142
+ 00:24:04,750 --> 00:24:06,650
1143
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1144
+
1145
+ 287
1146
+ 00:24:06,650 --> 00:24:12,390
1147
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด
1148
+
1149
+ 288
1150
+ 00:24:12,390 --> 00:24:15,530
1151
+ just one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just
1152
+
1153
+ 289
1154
+ 00:24:15,530 --> 00:24:15,730
1155
+ one value, zero and one ุจุณ ุฏู‡ ุจูŠุงุฎุฏ ูŠุงุด just one
1156
+
1157
+ 290
1158
+ 00:24:15,730 --> 00:24:19,790
1159
+ value, zero and one ุจุณ ุฏูˆุณุจุจ ุงู„ุชุญูˆูŠู„ ุฃู† ุงู„ู…ุนูŠุงุฑ
1160
+
1161
+ 291
1162
+ 00:24:19,790 --> 00:24:27,290
1163
+ ู…ุงู„ู‡ ุฃุณู„ ู„ุฃู†ู‡ ู‚ูŠู…ู‡ ู…ุญุฏุฏุฉ ู…ูŠู† ุตูุฑ ูˆ ุณูŠุฌู…ุง ูˆุงุญุฏ ู„ูƒู†
1164
+
1165
+ 292
1166
+ 00:24:27,290 --> 00:24:31,450
1167
+ ุงู„ normal ุงู„ุนุงุฏูŠ ู…ุงู„ู‡ infinite number of means ู…ู†
1168
+
1169
+ 293
1170
+ 00:24:31,450 --> 00:24:34,530
1171
+ ุณุงู„ุจ infinite ู„ plus infinity ูˆ ุงู„ sigma ู…ู† zero ู„
1172
+
1173
+ 294
1174
+ 00:24:34,530 --> 00:24:37,890
1175
+ infinity ุงุญู†ุง ุชุนุจู†ุง ู…ู† ุชู„ุงุชุฉ ุจุณ ูุงู†ุชุจู‡ูŠูƒ ู„ูˆ ูƒุงู†
1176
+
1177
+ 295
1178
+ 00:24:37,890 --> 00:24:41,590
1179
+ ุงู†ุฏูŠุจุงู†ุฏุฑ ุชู„ุงุชุฉ ุชู„ุงุชู…ูŠุฉ ูˆุงุญุฏ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ ุนุดุงู† ูƒุฏู‡
1180
+
1181
+ 296
1182
+ 00:24:41,590 --> 00:24:46,690
1183
+ ู‡ู†ุญูˆู„ ู…ู† normal ู„ standardized how can we
1184
+
1185
+ 297
1186
+ 00:24:46,690 --> 00:24:53,720
1187
+ translateู…ู† ุทุจูŠุนูŠ ุฅู„ู‰ ุทุจูŠุนูŠ ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ุงู„ุญู„ู‚ุฉ
1188
+
1189
+ 298
1190
+ 00:24:53,720 --> 00:25:04,080
1191
+ ุงู„ุซุงู„ุซุฉ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ู‚ุงุฑู†ุฉ ุฒูŠ ุฒูŠ ู…ู‚ุงุฑู†ุฉ ุฒูŠ
1192
+
1193
+ 299
1194
+ 00:25:04,080 --> 00:25:06,060
1195
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1196
+
1197
+ 300
1198
+ 00:25:06,060 --> 00:25:07,020
1199
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1200
+
1201
+ 301
1202
+ 00:25:07,020 --> 00:25:07,180
1203
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1204
+
1205
+ 302
1206
+ 00:25:07,180 --> 00:25:07,440
1207
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1208
+
1209
+ 303
1210
+ 00:25:07,440 --> 00:25:10,180
1211
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1212
+
1213
+ 304
1214
+ 00:25:10,180 --> 00:25:13,740
1215
+ ุฒูŠ ุฒูŠ
1216
+
1217
+ 305
1218
+ 00:25:13,740 --> 00:25:22,680
1219
+ ุฒูŠุฒูŠ ูŠุนู†ูŠ ุงุชุฌุงุฑุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1220
+
1221
+ 306
1222
+ 00:25:22,680 --> 00:25:23,460
1223
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1224
+
1225
+ 307
1226
+ 00:25:23,460 --> 00:25:23,740
1227
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1228
+
1229
+ 308
1230
+ 00:25:23,740 --> 00:25:24,880
1231
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1232
+
1233
+ 309
1234
+ 00:25:24,880 --> 00:25:28,900
1235
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1236
+
1237
+ 310
1238
+ 00:25:28,900 --> 00:25:32,200
1239
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1240
+
1241
+ 311
1242
+ 00:25:32,200 --> 00:25:32,200
1243
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1244
+
1245
+ 312
1246
+ 00:25:32,200 --> 00:25:39,960
1247
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…
1248
+
1249
+ 313
1250
+ 00:25:41,280 --> 00:25:48,520
1251
+ ุงู„ุฒูŠ ุฏูŠุณุชุฑุจูŠูˆุดู† ุฏุงุฆู…ู‹ุง ู„ุฏูŠู‡
1252
+
1253
+ 314
1254
+ 00:25:48,520 --> 00:25:54,760
1255
+ ู…ูŠู† ุชุจุนู‡ุง 0 ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1256
+
1257
+ 315
1258
+ 00:25:54,760 --> 00:26:03,560
1259
+ ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1260
+
1261
+ 316
1262
+ 00:26:03,560 --> 00:26:09,900
1263
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1264
+
1265
+ 317
1266
+ 00:26:09,900 --> 00:26:10,000
1267
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1268
+
1269
+ 318
1270
+ 00:26:10,000 --> 00:26:10,000
1271
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1272
+
1273
+ 319
1274
+ 00:26:10,000 --> 00:26:11,200
1275
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠุฃูŠ ุณุคุงู„
1276
+
1277
+ 320
1278
+ 00:26:11,200 --> 00:26:16,400
1279
+ ู…ูˆุฌูˆุฏุŸ
1280
+
1281
+ 321
1282
+ 00:26:16,400 --> 00:26:21,000
1283
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ุฐู‡ ู‡ูŠ ู…ูู‡ูˆู…ุฉ ุงู„ู‡ุฒูŠู…ุฉ ู„ู€ Standardized
1284
+
1285
+ 322
1286
+ 00:26:21,000 --> 00:26:26,880
1287
+ Normal ุงูŠุถุง ุชู†ุณู‰ ู‡ุฐู‡ ุงู„ุตูุญุฉ ู‡ุฐุง ู…ุด ุนุงูŠุฒูŠู†ู‡ ุงุฐุง ู‡ูˆ
1288
+
1289
+ 323
1290
+ 00:26:26,880 --> 00:26:31,300
1291
+ ูˆุงุถุญ ุงู„ู„ูŠ ุนู†ุฏูŠ two slides ุนู…ู„ู‡ู… skip ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„
1292
+
1293
+ 324
1294
+ 00:26:31,300 --> 00:26:33,000
1295
+ normal ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ standardized
1296
+
1297
+ 325
1298
+ 00:26:37,600 --> 00:26:44,500
1299
+ Standardized Normal Distribution Known as Z ูŠุนู†ูŠ
1300
+
1301
+ 326
1302
+ 00:26:44,500 --> 00:26:50,140
1303
+ ุจุฏู„ ู…ุง ุงุญูƒูŠ Standardized Normal Distribution ู‡ู†ุงุฎุฏ
1304
+
1305
+ 327
1306
+ 00:26:50,140 --> 00:26:55,840
1307
+ ุงุฎุชุตุงุฑูŠ ู„ู‡ุง ุจุณ Z Distribution ูุงู„ Z ููŠ ุงู„
1308
+
1309
+ 328
1310
+ 00:26:55,840 --> 00:27:01,380
1311
+ statistics ู…ุนู†ุงู‡ุง Standardized
1312
+
1313
+ 329
1314
+ 00:27:01,380 --> 00:27:05,010
1315
+ NormalูŠุนู†ูŠ ุจุฏู„ ู…ุง ุงุญูƒูŠ standardized normal ู‡ุญูƒูŠ z
1316
+
1317
+ 330
1318
+ 00:27:05,010 --> 00:27:11,110
1319
+ ุงุฐุง and always we just use z instead of
1320
+
1321
+ 331
1322
+ 00:27:11,110 --> 00:27:15,990
1323
+ standardized normal now this z has mean of zero
1324
+
1325
+ 332
1326
+ 00:27:15,990 --> 00:27:19,950
1327
+ and standard deviation of one this is the mean and
1328
+
1329
+ 333
1330
+ 00:27:19,950 --> 00:27:25,210
1331
+ this is sigma, sigma is one now value for z we
1332
+
1333
+ 334
1334
+ 00:27:25,210 --> 00:27:28,410
1335
+ have negative and plus values so we have negative
1336
+
1337
+ 335
1338
+ 00:27:28,410 --> 00:27:34,060
1339
+ values and positive valuesValues above the mean
1340
+
1341
+ 336
1342
+ 00:27:34,060 --> 00:27:39,420
1343
+ have positive z ุงู„ู‚ูŠู… ุงู„ุฃุนู„ู‰ ู…ู† ุงู„ู€mean in this
1344
+
1345
+ 337
1346
+ 00:27:39,420 --> 00:27:43,920
1347
+ direction Zero and above we have positive z
1348
+
1349
+ 338
1350
+ 00:27:43,920 --> 00:27:49,140
1351
+ Negative z it means to the left side of zero So
1352
+
1353
+ 339
1354
+ 00:27:49,140 --> 00:27:52,780
1355
+ values above the mean have positive z values while
1356
+
1357
+ 340
1358
+ 00:27:52,780 --> 00:27:58,990
1359
+ values below the mean have negative z valuesุจุชูƒูˆู†
1360
+
1361
+ 341
1362
+ 00:27:58,990 --> 00:28:03,150
1363
+ ู…ูˆุฌุฉ ุจุงู„ z score ุชุจุนู‡ุง ุทุจูŠุนูŠ ู…ุดุงูƒู„ ู„ู…ุง ูƒุงู†ุช ุงู„ x
1364
+
1365
+ 342
1366
+ 00:28:03,150 --> 00:28:06,750
1367
+ ุฃูƒุจุฑ ู…ู† ุงู„ mean ุชุฐูƒุฑ ุงู„ x is greater than the mean
1368
+
1369
+ 343
1370
+ 00:28:06,750 --> 00:28:10,810
1371
+ then z is positive ูˆ ุงู„ุนูƒุณ ู„ูˆ ูƒุงู†ุช x ุฃู‚ู„ ู…ู† ุงู„
1372
+
1373
+ 344
1374
+ 00:28:10,810 --> 00:28:16,110
1375
+ mean ู†ูŠุฌุงุชูŠู I think we discussed this issue in
1376
+
1377
+ 345
1378
+ 00:28:16,110 --> 00:28:22,410
1379
+ chapter 3 when we said z is positive if x is
1380
+
1381
+ 346
1382
+ 00:28:22,410 --> 00:28:26,450
1383
+ greater than the meanู„ุฐู„ูƒ ุฅุฐุง ู‚ูŠู…ุฉ ุฃูƒุชุฑ ู…ู† ุงู„ู…ุนู†ู‰ุŒ
1384
+
1385
+ 347
1386
+ 00:28:26,450 --> 00:28:31,270
1387
+ ูู€ z ู‡ูˆ ุงูƒุชุฑ ู…ู† ุงู„ู…ุนู†ู‰ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1388
+
1389
+ 348
1390
+ 00:28:31,270 --> 00:28:33,050
1391
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1392
+
1393
+ 349
1394
+ 00:28:56,960 --> 00:29:12,060
1395
+ ุณุฃุนุทูŠ ุจุนุถ ุงู„ุฃู…ุซู„ุฉ ู‡ู†ุง ุฅุฐุง
1396
+
1397
+ 350
1398
+ 00:29:12,060 --> 00:29:21,960
1399
+ X ูƒุงู† ุนุงู…ู‹ุง ู…ุฌุชู…ุนู‹ุง ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„ X ู„ุฏูŠู‡ ุนุงู…ุฉ ู…ุน
1400
+
1401
+ 351
1402
+ 00:29:27,330 --> 00:29:36,230
1403
+ ู…ุนู†ู‰ 100 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ
1404
+
1405
+ 352
1406
+ 00:29:36,230 --> 00:29:37,770
1407
+ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ
1408
+
1409
+ 353
1410
+ 00:29:37,770 --> 00:29:38,450
1411
+ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50
1412
+
1413
+ 354
1414
+ 00:29:38,450 --> 00:29:40,730
1415
+ ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰
1416
+
1417
+ 355
1418
+ 00:29:40,730 --> 00:29:40,730
1419
+ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ
1420
+
1421
+ 356
1422
+ 00:29:40,730 --> 00:29:40,890
1423
+ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ
1424
+
1425
+ 357
1426
+ 00:29:40,890 --> 00:29:42,170
1427
+ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ
1428
+
1429
+ 358
1430
+ 00:29:42,170 --> 00:29:46,070
1431
+ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰
1432
+
1433
+ 359
1434
+ 00:29:46,070 --> 00:29:49,370
1435
+ 50
1436
+
1437
+ 360
1438
+ 00:29:49,370 --> 00:29:59,660
1439
+ ุฏูˆู„ุงุฑ ุนู…ู„ูŠ ุงุจู†ูŠุฉ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุนูˆุงู„ุณุนุฑ ู„ุฏูŠู‡
1440
+
1441
+ 361
1442
+ 00:29:59,660 --> 00:30:03,680
1443
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ 100 ุฏูˆู„ุงุฑ ูˆุณูŠุฌู…ุง 50
1444
+
1445
+ 362
1446
+ 00:30:03,680 --> 00:30:12,280
1447
+ ุฏูˆู„ุงุฑ ุงุฐุง ุณุนุฑูƒ 200 ุฏูˆู„ุงุฑ ู…ุงุฐุง
1448
+
1449
+ 363
1450
+ 00:30:12,280 --> 00:30:20,020
1451
+ ูŠุนู†ูŠ ุฒูŠ ุณุฌู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฏุนูˆู†ุง ุฃูˆู„ุง ู†ุฌุฑุญ ุฒูŠ
1452
+
1453
+ 364
1454
+ 00:30:20,020 --> 00:30:24,080
1455
+ ูŠุนู†ูŠ ุงูƒุณ ู…ูŠู† ุนุจุฑ ุณูŠุฌู…ุง
1456
+
1457
+ 365
1458
+ 00:30:27,760 --> 00:30:40,080
1459
+ X ู‡ูˆ 200 ู…ูŠู† ู‡ูˆ 1 ุณูŠุฌู…ุน ู‡ูˆ 50 ู‡ุฐุง ูŠุนู†ูŠ 2 ุงู„ุขู†
1460
+
1461
+ 366
1462
+ 00:30:40,080 --> 00:30:47,980
1463
+ ู‚ูŠู…ุฉ 2 ู…ุงุฐุง ูŠุนู†ูŠ ู‚ูŠู…ุฉ 2ุŸ ูŠุนู†ูŠ X ู‡ูˆ 200 ุงู†ู‡ 2
1464
+
1465
+ 367
1466
+ 00:30:47,980 --> 00:30:52,220
1467
+ ู…ู‚ุงุฑู†ุฉ ุนุงุฏูŠุฉ ุฃุนู„ู‰ ู…ูŠู† ูƒูˆูŠุณุŒ ุงุฐุง ู‡ุฐุง ูŠู‚ูˆู„ ุฃู† ูƒูุฉ
1468
+
1469
+ 368
1470
+ 00:30:52,220 --> 00:30:55,560
1471
+ 200ุงู†ุชู‚ู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1472
+
1473
+ 369
1474
+ 00:30:55,560 --> 00:30:58,260
1475
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1476
+
1477
+ 370
1478
+ 00:30:58,260 --> 00:31:02,980
1479
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1480
+
1481
+ 371
1482
+ 00:31:02,980 --> 00:31:03,380
1483
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1484
+
1485
+ 372
1486
+ 00:31:03,380 --> 00:31:03,400
1487
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1488
+
1489
+ 373
1490
+ 00:31:03,400 --> 00:31:03,480
1491
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1492
+
1493
+ 374
1494
+ 00:31:03,480 --> 00:31:06,040
1495
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1496
+
1497
+ 375
1498
+ 00:31:06,040 --> 00:31:09,080
1499
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1500
+
1501
+ 376
1502
+ 00:31:09,080 --> 00:31:10,920
1503
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1504
+
1505
+ 377
1506
+ 00:31:22,660 --> 00:31:28,580
1507
+ your wage and the mean is twice sigma ุงู†ุง ุจุฒูŠุฏู‡ุง
1508
+
1509
+ 378
1510
+ 00:31:28,580 --> 00:31:34,400
1511
+ ุนู† ุงู„ู…ุชูˆุณุท ุจุงู„ู…ูŠุฉ ุงู„ู…ูŠุฉ ู…ุด ุนู„ุงู‚ุฉ ุจุงู„ุฎู…ุณูŠู† ุถุนูู‡ุง
1512
+
1513
+ 379
1514
+ 00:31:34,400 --> 00:31:38,900
1515
+ ุนุดุงู† ูƒุฏู‡ ุทู„ุนุช ุงุชู†ูŠู† ู…ุน ูƒุฏู‡ this is wage of two
1516
+
1517
+ 380
1518
+ 00:31:38,900 --> 00:31:42,020
1519
+ hundred is two standard deviation above that one
1520
+
1521
+ 381
1522
+ 00:31:42,020 --> 00:31:49,660
1523
+ more example for z negative for instance suppose
1524
+
1525
+ 382
1526
+ 00:31:49,660 --> 00:31:59,800
1527
+ your wage150 ุฏูˆู„ุงุฑ ู…ุงุฒุงู„ ุฌูŠุฏ ู„ุฃู†
1528
+
1529
+ 383
1530
+ 00:31:59,800 --> 00:32:05,640
1531
+ ู‡ุฐุง ุงู„ูˆุงุฌู‡ุฉ ุฃูƒุจุฑ ู…ู† 100 ุงู„ุขู† ู„ูƒูŠ ุฃู‚ูˆู… ุจู…ุนุฑูุฉ ุฒูŠ
1532
+
1533
+ 384
1534
+ 00:32:05,640 --> 00:32:15,040
1535
+ 150 ู…ุงู†ูˆุณ 100 ู…ู‚ุงู„ 50 ู‡ูˆ ูˆุงุญุฏ ูู…ุนุฑูุฉ ุฒูŠ ูˆุงุญุฏ ูŠุนู†ูŠ
1536
+
1537
+ 385
1538
+ 00:32:15,040 --> 00:32:21,470
1539
+ ุฃู† ูˆุงุฌู‡ุชูƒ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุฃุนู„ู‰ ุงู„ู…ู‚ุงูˆู…ุฉู„ุฃู† ุงู„ูุฑู‚
1540
+
1541
+ 386
1542
+ 00:32:21,470 --> 00:32:27,890
1543
+ ุฎู…ุณูŠู† ู…ุด ู‡ูŠูƒ ูˆ ุงู„ุฎู…ุณูŠู† ู‡ูŠ ุงู„ sigma suppose your
1544
+
1545
+ 387
1546
+ 00:32:27,890 --> 00:32:31,770
1547
+ wage is fifty now
1548
+
1549
+ 388
1550
+ 00:32:31,770 --> 00:32:37,370
1551
+ this one in this case negative
1552
+
1553
+ 389
1554
+ 00:32:37,370 --> 00:32:46,710
1555
+ one negative means your wage of ุฎู…ุณูŠู† ุฃู‚ู„ ู…ู† ุงู„
1556
+
1557
+ 390
1558
+ 00:32:46,710 --> 00:32:55,080
1559
+ mean of one standard deviationู…ุงุฐุง ุนู† X ู‡ูˆ 100ุŸ
1560
+
1561
+ 391
1562
+ 00:32:55,080 --> 00:33:00,540
1563
+ Z ูŠู‚ู„ 0ุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‚ูŠู…ุชูƒ ู‡ูŠ ู†ูุณู‡ุง ู…ุง ูŠุนู†ูŠ
1564
+
1565
+ 392
1566
+ 00:33:00,540 --> 00:33:01,180
1567
+ ุงู„ู…ุฌุชู…ุน.
1568
+
1569
+ 393
1570
+ 00:33:04,660 --> 00:33:14,220
1571
+ ุฏุนูˆู†ุง ู†ู‚ุงุฑู† X ูˆ Z. ุงู„ุขู†ุŒ ู„ู„ู…ุซุงู„ ู‡ุฐุงุŒ ุงู„ู…ุนู†ู‰ 100 ูˆ
1572
+
1573
+ 394
1574
+ 00:33:14,220 --> 00:33:15,000
1575
+ Sigma ู‡ูˆ 50.
1576
+
1577
+ 395
1578
+ 00:33:17,880 --> 00:33:18,340
1579
+ ุงู„ุขู†ุŒ ู„ู€
1580
+
1581
+ 396
1582
+ 00:33:30,670 --> 00:33:44,390
1583
+ ุนู† ุทุฑูŠู‚ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู…
1584
+
1585
+ 397
1586
+ 00:33:44,390 --> 00:33:50,250
1587
+ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู…only the
1588
+
1589
+ 398
1590
+ 00:33:50,250 --> 00:33:54,470
1591
+ scale has changed ูŠุนู†ูŠ ู†ูุณ ุงู„ุชูˆุฒูŠุน ุณูˆุงุก normal
1592
+
1593
+ 399
1594
+ 00:33:54,470 --> 00:33:58,470
1595
+ distribution ุฃูˆ standardized ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
1596
+
1597
+ 400
1598
+ 00:33:58,470 --> 00:34:04,610
1599
+ ูˆ ุงู„ู…ุนูŠุงุฑ ู…ุง ู„ู‡ู… ู†ูุณ ุงู„ุดูƒู„ ุจุณ ุงู„ scale ุงุฎุชู„ู ุจุนุฏ
1600
+
1601
+ 401
1602
+ 00:34:04,610 --> 00:34:11,630
1603
+ ู…ุง ูƒุงู† ู‡ู†ุง 100 ูˆ 200 ุตุงุฑุช 02 ูˆ ู‡ูƒุฐุงู†ุณุชุทูŠุน ุฃู† ู†ุนุฑู
1604
+
1605
+ 402
1606
+ 00:34:11,630 --> 00:34:15,990
1607
+ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุฃุตู„ูŠุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ
1608
+
1609
+ 403
1610
+ 00:34:15,990 --> 00:34:16,630
1611
+ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1612
+
1613
+ 404
1614
+ 00:34:16,630 --> 00:34:16,630
1615
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1616
+
1617
+ 405
1618
+ 00:34:16,630 --> 00:34:16,710
1619
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1620
+
1621
+ 406
1622
+ 00:34:16,710 --> 00:34:17,770
1623
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1624
+
1625
+ 407
1626
+ 00:34:17,770 --> 00:34:19,970
1627
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1628
+
1629
+ 408
1630
+ 00:34:19,970 --> 00:34:20,670
1631
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1632
+
1633
+ 409
1634
+ 00:34:20,670 --> 00:34:21,330
1635
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1636
+
1637
+ 410
1638
+ 00:34:21,330 --> 00:34:22,990
1639
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1640
+
1641
+ 411
1642
+ 00:34:22,990 --> 00:34:30,790
1643
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1644
+
1645
+ 412
1646
+ 00:34:30,790 --> 00:34:31,710
1647
+ ุงู„ู…ุฌู…ูˆุน
1648
+
1649
+ 413
1650
+ 00:34:37,620 --> 00:34:40,500
1651
+ ุงู„ุณุคุงู„ ุงู„ุขู† ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ุงู„ูˆุงู‚ุนุงุช ุงู„ุทุจูŠุนูŠุฉ
1652
+
1653
+ 414
1654
+ 00:34:40,500 --> 00:34:47,600
1655
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‡ุฏู ุงู„ุฃูˆู„ ุงู„ุขู† ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุทุจูŠุนูŠุฉ
1656
+
1657
+ 415
1658
+ 00:34:47,600 --> 00:34:51,020
1659
+ ุทุจูŠุนูŠุฉ ูˆู†ุญู†
1660
+
1661
+ 416
1662
+ 00:34:51,020 --> 00:34:57,060
1663
+ ู…ู‡ุชู…ูˆู† ุจุงู„ู…ู†ุทู‚ุฉ ุจูŠู† a ูˆ b ุณู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุชุตู…ูŠู… ุจูŠ
1664
+
1665
+ 417
1666
+ 00:34:57,060 --> 00:35:02,080
1667
+ ุจูŠ ุชุนู†ูŠ ุงู„ูˆุงู‚ุน
1668
+
1669
+ 418
1670
+ 00:35:02,080 --> 00:35:12,680
1671
+ X ุจูŠู† a ูˆ b ุฅู…ุง ูŠู…ูƒู†ูƒ ูƒุชุงุจุฉx โ‰ฅ b โ‰ฅ b ุฃูˆ ูู‚ุท ุจุฏูˆู†
1672
+
1673
+ 419
1674
+ 00:35:12,680 --> 00:35:19,240
1675
+ ุฅู‚ู„ ุตูŠู† x โ‰ฅ a โ‰ค b ู„ุฃู† ู…ูุฑูˆุถ ุฃูŠ ู‚ูŠู…ุฉ ู…ุญุฏุฏุฉ ูุงุฑู‚ุฉ
1676
+
1677
+ 420
1678
+ 00:35:19,240 --> 00:35:33,900
1679
+ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ
1680
+
1681
+ 421
1682
+ 00:35:33,900 --> 00:35:39,670
1683
+ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉ ูุงุฑู‚ุฉุจุนู† ุทุฑูŠู‚ ุจูŠ ุงูˆ ุงูƒุณ ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง
1684
+
1685
+ 422
1686
+ 00:35:39,670 --> 00:35:44,470
1687
+ ุงูŠู‚ุงู„ ุตูŠู† ุงูˆ ู„ุง ุงูŠู‚ุงู„ ุตูŠู† ุจูŠุฑ ู‡ูŠุฑ ู‡ู… ู†ูุณ ุงู„ุงุดูŠุงุก
1688
+
1689
+ 423
1690
+ 00:35:44,470 --> 00:35:48,290
1691
+ ูŠุนู†ูŠ ุณูˆุงุก ููŠ ุนู„ุงู…ุฉ ู„ูŠุณุงูˆุฉ ู…ุงููŠุด ุงู„ุงุชู†ูŠู† ู…ุงู„ู‡ู… ู†ูุณ
1692
+
1693
+ 424
1694
+ 00:35:48,290 --> 00:35:55,430
1695
+ ุงู„ุดูŠุก ูŠุนู†ูŠ ู„ูˆ ุจูƒุชุจ ุจูŠ ุงูˆ ุงูŠ ุงู‚ู„ ู…ู† ุงูˆ ุงูŠู‚ุงู„ ู†ูุณ ู„ูˆ
1696
+
1697
+ 425
1698
+ 00:35:55,430 --> 00:35:58,110
1699
+ ูƒุชุจุช ู…ู† ุบูŠุฑ ุงู„ู…ุณุงูˆุฉ ู…ู† ุบูŠุฑ ุงู„ูŠุณุงูˆุฉ
1700
+
1701
+ 426
1702
+ 00:36:14,900 --> 00:36:19,180
1703
+ ูŠุนู†ูŠ equal sign ู…ุด ู…ู‡ู…ุฉ ููŠ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ู„ู…ุง
1704
+
1705
+ 427
1706
+ 00:36:19,180 --> 00:36:22,580
1707
+ ุจุญูƒูŠ greater than or equal they have the same
1708
+
1709
+ 428
1710
+ 00:36:22,580 --> 00:36:28,220
1711
+ meaning now
1712
+
1713
+ 429
1714
+ 00:36:28,220 --> 00:36:32,480
1715
+ since we have symmetric distribution it means the
1716
+
1717
+ 430
1718
+ 00:36:32,480 --> 00:36:38,120
1719
+ area to the right equals the area to the left now
1720
+
1721
+ 431
1722
+ 00:36:38,120 --> 00:36:41,780
1723
+ the total area under the curve is one ู…ุณุงุญุฉ ุชุญุช
1724
+
1725
+ 432
1726
+ 00:36:41,780 --> 00:36:47,940
1727
+ ุงู„ู…ุฑุญู†ุฉ ุจูˆุงุญุฏ ูƒู„ ุงู„ู…ุณุงุญุฉูู…ุนู†ู‰ ูƒุฏู‡ ูƒูŠุฑุจ ู…ุชุณุงูˆู…ุŒ
1728
+
1729
+ 433
1730
+ 00:36:47,940 --> 00:36:52,200
1731
+ ู„ุฐู„ูƒ ู†ุตู ุฃุนู„ู‰ ุงู„ู…ุตุทู„ุญ ูˆ ู†ุตู ุชุญุชู‡ ู„ุฃู† ู‡ู†ุง 50% ูˆ ู‡ู†ุง
1732
+
1733
+ 434
1734
+ 00:36:52,200 --> 00:36:57,020
1735
+ 50%ุŸ ุฃู‡ุŒ ู‡ุฐู‡ 50% ูˆ ู‡ุฐู‡ 50%ุŒ ู…ุน ูƒุฏู‡ ุงู„ .. ุงู„ .. ุงู„
1736
+
1737
+ 435
1738
+ 00:36:57,020 --> 00:36:57,580
1739
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1740
+
1741
+ 436
1742
+ 00:36:57,580 --> 00:36:57,600
1743
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1744
+
1745
+ 437
1746
+ 00:36:57,600 --> 00:36:58,880
1747
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1748
+
1749
+ 438
1750
+ 00:36:58,880 --> 00:37:00,220
1751
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1752
+
1753
+ 439
1754
+ 00:37:00,220 --> 00:37:01,740
1755
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1756
+
1757
+ 440
1758
+ 00:37:01,740 --> 00:37:01,740
1759
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1760
+
1761
+ 441
1762
+ 00:37:01,740 --> 00:37:02,800
1763
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1764
+
1765
+ 442
1766
+ 00:37:02,800 --> 00:37:02,800
1767
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1768
+
1769
+ 443
1770
+ 00:37:02,800 --> 00:37:08,240
1771
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1772
+
1773
+ 444
1774
+ 00:37:08,240 --> 00:37:13,840
1775
+ ุงู„ .. ุงู„ ..
1776
+
1777
+ 445
1778
+ 00:37:16,480 --> 00:37:19,380
1779
+ ุฅุฐุง ุงู„ area ุนู„ูŠ ูŠู…ูŠู† ู„ู…ูŠูˆ ุจุชุณุงูˆูŠ ุงู„ area to the
1780
+
1781
+ 446
1782
+ 00:37:19,380 --> 00:37:25,180
1783
+ left of ู…ูŠูˆ and each one equals one half ู„ูŠุดุŸ ู„ุฃู†
1784
+
1785
+ 447
1786
+ 00:37:25,180 --> 00:37:31,580
1787
+ ุงู„ุชูˆุฒูŠุน ุงู„ุณูŠู…ุชุฑูŠูƒ ุฌุงูŠ ููŠ ุงู„ู†ุต ุงู„ mean ุงู„ area ูƒู„ู‡ุง
1788
+
1789
+ 448
1790
+ 00:37:31,580 --> 00:37:35,700
1791
+ under the curve is one ูุฌุณู…ู‡ุง ุฌุณู…ูŠู† ู†ุต ุนู„ูŠ ูŠู…ูŠู† ูˆ
1792
+
1793
+ 449
1794
+ 00:37:35,700 --> 00:37:38,160
1795
+ ู†ุต ุนู„ูŠ ุงู„ุดู…ุงู„ ุฅุฐุง ุงู„ area to the right of the mean
1796
+
1797
+ 450
1798
+ 00:37:38,160 --> 00:37:41,540
1799
+ is one half and equals the area to the left of the
1800
+
1801
+ 451
1802
+ 00:37:41,540 --> 00:37:44,880
1803
+ mean is also one half ุฅุฐุง ุงู„ู…ุณุงุญุงุช ุนู„ูŠ ูŠู…ูŠู† ูˆ ุนู„ูŠ
1804
+
1805
+ 452
1806
+ 00:37:44,880 --> 00:37:51,880
1807
+ ุงู„ุดู…ุงู„ ู…ุง ู‡ู…ุŸุฒูŠ ุจุนุถ ูˆูƒู„ ู…ุณุงุญุฉ ุงูŠุด ุจุชุณุงูˆูŠ ูˆุงุญุฏ ุงุฐุง
1808
+
1809
+ 453
1810
+ 00:37:51,880 --> 00:37:55,160
1811
+ ูƒู„ ู…ุณุงุญุฉ equal one ูˆ ุงู„ left ุจูŠุณุงูˆูŠ ุงู„ right
1812
+
1813
+ 454
1814
+ 00:37:55,160 --> 00:38:00,140
1815
+ ุจูŠุณุงูˆูŠ one half next time ุงู† ุดุงุก ุงู„ู„ู‡ we will
1816
+
1817
+ 455
1818
+ 00:38:00,140 --> 00:38:04,760
1819
+ continue and see how can we compute the
1820
+
1821
+ 456
1822
+ 00:38:04,760 --> 00:38:07,800
1823
+ probabilities using the standardized normal table
1824
+
1825
+ 457
1826
+ 00:38:07,800 --> 00:38:12,380
1827
+ ุงู„ุชุงุจู„ ุงู„ู…ูˆุฌูˆุฏ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจ ู…ุนุงูƒ ูุงู„ู„ู‚ุงุก ุฌุงูŠุจ
1828
+
1829
+ 458
1830
+ 00:38:12,380 --> 00:38:13,060
1831
+ ู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
1832
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/V-6Z74GYdis.srt ADDED
@@ -0,0 +1,1758 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:33,370
3
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ููŠ chapter ุนุดุฑุฉ ุฎู„ู‘ูŠู†ูŠ
4
+
5
+ 2
6
+ 00:00:33,370 --> 00:00:38,070
7
+ ุฃุจุฏุฃ ููŠ chapter ุชุณุนุฉ ุงู„ู„ูŠ ุฎู„ุตู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ูƒุงู†
8
+
9
+ 3
10
+ 00:00:38,070 --> 00:00:42,170
11
+ ุงู„ู…ูˆุถูˆุน ุจูŠุชูƒู„ู… ุนู„ู‰ one sample test ู…ุด ู‡ูŠูƒ ูƒุงู† ุนูŠู†ุฉ
12
+
13
+ 4
14
+ 00:00:42,170 --> 00:00:46,410
15
+ ูˆุงุญุฏุฉ ุจุณ ุงุชูƒู„ู…ู†ุง ุนู„ู‰ ุงู„ hypothesis testing for one
16
+
17
+ 5
18
+ 00:00:47,350 --> 00:00:51,290
19
+ population mean ูˆ one population proportion ุงู„ู„ูŠ
20
+
21
+ 6
22
+ 00:00:51,290 --> 00:00:56,470
23
+ ู‡ู†ุนู…ู„ ููŠ chapter 10 ู‡ู†ุนู…ู„ extension ุจุฏู„ one sample
24
+
25
+ 7
26
+ 00:00:56,470 --> 00:01:01,310
27
+ test ู‡ู†ุงุฎุฏ two sample test ูˆู…ุฑุฉ ู‡ุชูƒูˆู† ุงู„
28
+
29
+ 8
30
+ 00:01:01,310 --> 00:01:05,230
31
+ difference between two population proportions ูˆู…ุฑุฉ
32
+
33
+ 9
34
+ 00:01:05,230 --> 00:01:08,190
35
+ ู„ู„ difference between two population means ูŠุนู†ูŠ
36
+
37
+ 10
38
+ 00:01:08,190 --> 00:01:12,850
39
+ ู†ูุณ ุงู„ู‚ุตุฉ ุงู„ู„ูŠ ูุงุชุช ุจุฏู„ mean ูˆุงุญุฏ ู‡ู†ุงุฎุฏ difference
40
+
41
+ 11
42
+ 00:01:12,850 --> 00:01:16,330
43
+ between two means ูˆ ุจุฏู„ one proportion ู‡ู†ุงุฎุฏ
44
+
45
+ 12
46
+ 00:01:16,330 --> 00:01:20,890
47
+ difference between two proportions ุงู„ one way and
48
+
49
+ 13
50
+ 00:01:20,890 --> 00:01:24,990
51
+ over ู‡ู†ุนู…ู„ skip ู„ู‡ู… ูŠุนู†ูŠ ู…ุด ู‡ุดุฑุญ ุงู„ one way and
52
+
53
+ 14
54
+ 00:01:24,990 --> 00:01:28,570
55
+ over ุฅุฐุง ููŠ chapter 10 we just talk about two
56
+
57
+ 15
58
+ 00:01:28,570 --> 00:01:29,390
59
+ sample test
60
+
61
+ 16
62
+ 00:01:41,740 --> 00:01:49,740
63
+ ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ูŠูˆุฌุฏ ุซู„ุงุซุฉ ู…ู‡ุชู…ูŠู† ูŠุฑูƒุฒูˆู† ุนู„ู‰
64
+
65
+ 17
66
+ 00:01:49,740 --> 00:01:56,460
67
+ ูƒูŠููŠุฉ ุงุณุชุฎุฏุงู… ุชุฌุงุฑุจ ุงู„ู€ hypothesis ู„ุชู‚ุงุฑูŠุฑ ุงู„ูุฑู‚ ุจูŠู†
68
+
69
+ 18
70
+ 00:02:12,910 --> 00:02:20,290
71
+ ุฑู‚ู… ูˆุงุญุฏ ุงู„ means ุงู„ู„ุญุธุฉ ูƒู„ู‡ means ุฏูŠ ู‡ุฏูˆู„ ุจุณ ู…ุฑุฉ
72
+
73
+ 19
74
+ 00:02:20,290 --> 00:02:26,830
75
+ of two independent populations is the means of
76
+
77
+ 20
78
+ 00:02:26,830 --> 00:02:31,190
79
+ two independent populations
80
+
81
+ 21
82
+ 00:02:37,050 --> 00:02:39,390
83
+ ูˆุงู„ุญุฏ ุงู„ุซุงู†ูŠ is the difference between the means
84
+
85
+ 22
86
+ 00:02:39,390 --> 00:02:42,970
87
+ of two related populationsุŒ ู‡ุฏูˆู„ ุดุบู„ุชูŠู† ู…ุฎุชู„ูุชูŠู†ุŒ
88
+
89
+ 23
90
+ 00:02:42,970 --> 00:02:48,070
91
+ ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู†ุฑูƒุฒ ุนู„ู‰ ุฌุฒุก ู…ู† ุงู„ุงุฎุชู„ุงู ุจูŠู†
92
+
93
+ 24
94
+ 00:02:48,070 --> 00:02:52,110
95
+ means of two independent populations and next time
96
+
97
+ 25
98
+ 00:02:52,110 --> 00:02:56,090
99
+ we shall continue for the two related populations.
100
+
101
+ 26
102
+ 00:02:56,770 --> 00:03:02,090
103
+ In addition, so we have two independent and two
104
+
105
+ 27
106
+ 00:03:02,090 --> 00:03:04,330
107
+ related populations.
108
+
109
+ 28
110
+ 00:03:07,360 --> 00:03:11,620
111
+ ุงู„ุฑู‚ู… ุงู„ุซุงู„ุซ ูŠุชุญุฏุซ ุนู† ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
112
+
113
+ 29
114
+ 00:03:11,620 --> 00:03:14,880
115
+ ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
116
+
117
+ 30
118
+ 00:03:14,880 --> 00:03:20,300
119
+ ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
120
+
121
+ 31
122
+ 00:03:20,300 --> 00:03:22,720
123
+ ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
124
+
125
+ 32
126
+ 00:03:22,720 --> 00:03:24,100
127
+ ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
128
+
129
+ 33
130
+ 00:03:24,100 --> 00:03:26,020
131
+ ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
132
+
133
+ 34
134
+ 00:03:26,020 --> 00:03:35,120
135
+ ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช ุงุชุฌุงู‡ุงุช
136
+
137
+ 35
138
+ 00:03:35,490 --> 00:03:37,630
139
+ ุฃูˆ ุจูŠู† ู…ุชูˆุณุทูŠู† ุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู†
140
+
141
+ 36
142
+ 00:03:37,630 --> 00:03:40,790
143
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ
144
+
145
+ 37
146
+ 00:03:40,790 --> 00:03:41,470
147
+ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู†
148
+
149
+ 38
150
+ 00:03:41,470 --> 00:03:44,350
151
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ
152
+
153
+ 39
154
+ 00:03:44,350 --> 00:03:46,550
155
+ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู†
156
+
157
+ 40
158
+ 00:03:46,550 --> 00:03:47,990
159
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ
160
+
161
+ 41
162
+ 00:03:47,990 --> 00:03:49,430
163
+ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู†
164
+
165
+ 42
166
+ 00:03:49,430 --> 00:03:50,910
167
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ
168
+
169
+ 43
170
+ 00:03:50,910 --> 00:04:03,790
171
+ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุณูƒุงู†
172
+
173
+ 44
174
+ 00:04:03,790 --> 00:04:09,820
175
+ ุงู„ู…ุฑุชุจุทุฉ ุนู†ุฏูŠ population means ู‡ู†ุงุฎุฏ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰
176
+
177
+ 45
178
+ 00:04:09,820 --> 00:04:15,520
179
+ independent samples ุฅูŠุด ูŠุนู†ูŠ independent samplesุŸ
180
+
181
+ 46
182
+ 00:04:15,520 --> 00:04:20,460
183
+ ุนูŠู†ุงุช ู…ุณุชู‚ู„ุฉ ุฒูŠ ู…ุซู„ุง males ูˆ females ู‡ุฐูˆู„ ุนูŠู†ุงุช
184
+
185
+ 47
186
+ 00:04:20,460 --> 00:04:26,700
187
+ ู…ุณุชู‚ู„ุฉ ู…ู…ูƒู† ู†ุญูƒูŠ ู…ุซู„ุง public school ูˆ private
188
+
189
+ 48
190
+ 00:04:26,700 --> 00:04:32,760
191
+ schools ู‡ุฐูˆู„ two independent ู…ู…ูƒู† ู†ุญูƒูŠ ู…ุซู„ุง Stock A
192
+
193
+ 49
194
+ 00:04:32,760 --> 00:04:38,140
195
+ ูˆ Stock B two independent populations in this case
196
+
197
+ 50
198
+ 00:04:38,140 --> 00:04:41,320
199
+ we are talking about group one versus group two as
200
+
201
+ 51
202
+ 00:04:41,320 --> 00:04:44,640
203
+ I mentioned either males females Stock A Stock B
204
+
205
+ 52
206
+ 00:04:44,640 --> 00:04:48,980
207
+ and so on the second case for the two sample tests
208
+
209
+ 53
210
+ 00:04:48,980 --> 00:04:53,560
211
+ population means related samples related ู…ุนู†ุงู‡ุง
212
+
213
+ 54
214
+ 00:04:53,560 --> 00:04:59,500
215
+ ุจุชูƒู„ู… ุนู„ู‰ ุดุบู„ุฉ ู‚ุจู„ ูˆุจุนุฏ ู‚ุจู„ ูˆุจุนุฏ treatment ู‚ุจู„ ูˆ ุจุนุฏ ูŠุนู†ูŠ ู…ุซู„ุง ุจุชุชูƒู„ู… ุนู† ุงู„ product
216
+
217
+ 55
218
+ 00:04:59,500 --> 00:05:03,120
219
+ before using a new machine and after using a new
220
+
221
+ 56
222
+ 00:05:03,120 --> 00:05:06,420
223
+ machine ูƒุชูŠุฑ ููŠ ุฃุญูŠุงู† ุงู„ุฅู†ุชุงุฌ ุจุชุฃุซุฑ ุจุงู„ machine ู…ุด
224
+
225
+ 57
226
+ 00:05:06,420 --> 00:05:10,320
227
+ ู‡ูŠูƒ ุจุงู„ุขู„ุฉ ุงู„ู„ูŠ ู…ุณุชุฎุฏู…ุฉ ูุจุดูˆู ุงู„ุฅู†ุชุงุฌ before using
228
+
229
+ 58
230
+ 00:05:10,320 --> 00:05:13,740
231
+ a new machine and after using a new machine ู‡ุฐุง
232
+
233
+ 59
234
+ 00:05:13,740 --> 00:05:17,040
235
+ ุจูŠุณู…ูŠู‡ู… related ุฃูˆ ุจูŠุณู…ูˆู†ู‡ู… related samples case
236
+
237
+ 60
238
+ 00:05:17,040 --> 00:05:23,020
239
+ number three population ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
240
+
241
+ 61
242
+ 00:05:23,020 --> 00:05:27,780
243
+ ู†ุญู† ู†ุชูƒู„ู… ุนู† ู…ู‚ุงุฑู†ุฉ ูˆุงุญุฏุฉ ุถุฏ ู…ู‚ุงุฑู†ุฉ ุงุซู†ุงู† ู‡ุฐุง ูŠุนู†ูŠ
244
+
245
+ 62
246
+ 00:05:27,780 --> 00:05:32,460
247
+ ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† ู…ุฌุชู…ุนูŠู† ู…ุณุชู‚ู„ูŠู† ู„ุฐู„ูƒ ู‡ู†ุงูƒ ุงุชุฌุงู‡ุงุช ุฃูˆ
248
+
249
+ 63
250
+ 00:05:32,460 --> 00:05:37,020
251
+ ู…ุฌุชู…ุนูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ
252
+
253
+ 64
254
+ 00:05:37,020 --> 00:05:42,720
255
+ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ
256
+
257
+ 65
258
+ 00:05:42,720 --> 00:05:44,380
259
+ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ
260
+
261
+ 66
262
+ 00:05:44,380 --> 00:05:44,740
263
+ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ
264
+
265
+ 67
266
+ 00:05:44,740 --> 00:05:47,780
267
+ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ
268
+
269
+ 68
270
+ 00:05:47,780 --> 00:05:51,600
271
+ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุฃูˆ
272
+
273
+ 69
274
+ 00:05:51,600 --> 00:05:58,390
275
+ ู…ุณุชู‚ู„ูŠู† ุฃูˆ ู…ุณุชู‚ู„ูŠู† ุงู„ means ุจุณ ู†ุชูƒู„ู… ุนู† population
276
+
277
+ 70
278
+ 00:05:58,390 --> 00:06:02,890
279
+ means ูˆุงุฎุฐู†ุง ุฌุฒุก ุงู„ู„ูŠ ู‡ูˆ mean ุงู„ independent ุฅุฐุง
280
+
281
+ 71
282
+ 00:06:02,890 --> 00:06:06,890
283
+ ุฃู†ุง ุฏูŠ ุฃูˆู„ ุดูŠุก
284
+
285
+ 72
286
+ 00:06:06,890 --> 00:06:13,010
287
+ ุฅุฐุง
288
+
289
+ 73
290
+ 00:06:13,010 --> 00:06:17,250
291
+ ู…ุง ุงุชูƒู„ู… ุนู„ู‰ ุญูƒูŠู†ุง ุงู„ุดุงุจุชุฑ ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ุฌุฒุฆูŠู†
292
+
293
+ 74
294
+ 00:06:17,250 --> 00:06:22,630
295
+ means ูˆ proportions ู‡ุจุฏุฃ ููŠ ุงู„ means ููŠ ุงู„ means ูˆ
296
+
297
+ 75
298
+ 00:06:22,630 --> 00:06:24,790
299
+ ููŠ ุงู„ means ููŠ ุฌุฒุฆูŠู† ุฃูŠ population
300
+
301
+ 76
302
+ 00:06:29,310 --> 00:06:33,230
303
+ means ุฒูŠ ู…ุง ุฃุญูƒูŠ ู„ูƒ ููŠ ุงู„ scheme ุงู„ู„ูŠ ูุงุชุช ูƒุงู† ููŠ
304
+
305
+ 77
306
+ 00:06:33,230 --> 00:06:36,730
307
+ ุนู†ุฏู‡ ุงุซู†ูŠู† population means ู‡ุงูŠ ูŠูˆู… ุงู„ุงุซู†ูŠู† ูˆุงุญุฏุฉ
308
+
309
+ 78
310
+ 00:06:36,730 --> 00:06:41,350
311
+ independent ูˆุงู„ุชุงู†ูŠุฉ related ู‡ุจุฏุฃ ุงู„ู„ูŠ ุฃู†ุง ุนู„ู‰ ุทูˆู„
312
+
313
+ 79
314
+ 00:06:41,350 --> 00:06:45,230
315
+ ููŠ ู…ูŠู† ู‡ูŠ ุงู„ star ุงู„ star ุจุนุฏ ูƒุฏู‡ ุฅู† ุฃู†ุง ู…ูˆุฌูˆุฏ ููŠ
316
+
317
+ 80
318
+ 00:06:45,230 --> 00:06:48,770
319
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุฃุชูƒู„ู… ุนู† ุงู„ independent sentence ุฅุฐุง
320
+
321
+ 81
322
+ 00:06:48,770 --> 00:06:53,710
323
+ case ูˆุงุญุฏ ู‡ูŠ case ูˆุงุญุฏ ููŠู‡ุง independent
324
+
325
+ 82
326
+ 00:07:02,760 --> 00:07:08,820
327
+ ุงู„ู‡ุฏู ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ test hypothesis for confidence
328
+
329
+ 83
330
+ 00:07:08,820 --> 00:07:13,440
331
+ interval ุงุญู†ุง ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุจุฑุถู‡ ู‡ู†ุนู…ู„ skip ู„ู„
332
+
333
+ 84
334
+ 00:07:13,440 --> 00:07:16,440
335
+ confidence interval ู‡ุฐุง ู…ุด ุฑุงุญ ู†ุนุฑูู‡ ููŠ ุงู„ chapter
336
+
337
+ 85
338
+ 00:07:16,440 --> 00:07:21,380
339
+ ู‚ุจู„ู‡ุง ุฅุฐุง ู‡ู†ุงุฎุฏ test hypothesis for the difference
340
+
341
+ 86
342
+ 00:07:21,380 --> 00:07:23,040
343
+ between two population means
344
+
345
+ 87
346
+ 00:07:25,770 --> 00:07:32,750
347
+ ุฅุฐุง ูƒู„ ุงู„ุดุบู„ ู‡ูŠูƒูˆู† ุงู„ hypothesis for
348
+
349
+ 88
350
+ 00:07:32,750 --> 00:07:38,590
351
+ the difference between two populations ู…ูŠูˆ ูˆุงู† minus
352
+
353
+ 89
354
+ 00:07:38,590 --> 00:07:44,290
355
+ ู…ูŠูˆ ุชูˆ ุงู„ point estimate of this difference
356
+
357
+ 90
358
+ 00:07:44,290 --> 00:07:49,410
359
+ ุงู„ุชู‚ุฏูŠุฑ ู„ู‡ุง ุนุจุงุฑุฉ ุนู† x one bar minus x one bar ุฅุฐุง
360
+
361
+ 91
362
+ 00:07:49,410 --> 00:07:51,670
363
+ ุฃูˆู„ ุดูŠุก ุฃุฑูŠุฏ ุฃู† ุฃุนุฑูู‡ ุฃู† ู‡ูˆ point estimate
364
+
365
+ 92
366
+ 00:07:54,340 --> 00:07:57,320
367
+ ุฎู„ุงุต ู„ูƒ ุงู„ point estimate ู„ ุงู„ ู…ูŠูˆ ุฅูŠุด ูƒุงู†ุช ุจุชุณุงูˆูŠ
368
+
369
+ 93
370
+ 00:07:57,320 --> 00:08:03,400
371
+ ุงูƒุณ ุจุงุฑ ู…ุธุจูˆุท ู‡ุฐุง ู„ ุงู„ mean ู„ ุงู„ one population
372
+
373
+ 94
374
+ 00:08:03,400 --> 00:08:06,300
375
+ mean ุทุจ ู„ูˆ ุนู†ุฏูƒ two population means ูˆุนุงูŠุฒ ุงู„
376
+
377
+ 95
378
+ 00:08:06,300 --> 00:08:09,880
379
+ point estimate
380
+
381
+ 96
382
+ 00:08:09,880 --> 00:08:18,400
383
+ of ู…ูŠูˆ ูˆุงุญุฏ minus ู…ูŠูˆ ุงุซู†ูŠู† ุงู„ู€ู…ูŠูˆ ุจุณ X bar ู„ูˆ ูƒู†ุง
384
+
385
+ 97
386
+ 00:08:18,400 --> 00:08:21,580
387
+ ุนู†ุฏู†ุง ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠูˆ ุชูˆ ุงูŠุด ู‡ุชูƒูˆู† X bar one
388
+
389
+ 98
390
+ 00:08:21,580 --> 00:08:25,740
391
+ minus X two bar ู‡ุชูƒูˆู† X one bar minus X two bar ุทุจ
392
+
393
+ 99
394
+ 00:08:25,740 --> 00:08:29,000
395
+ ู„ูˆ ุนุงูŠุฒ ุงู„ point estimate ู„ู…ูŠูˆ ุชูˆ ู…ุงูŠู†ุณ ู…ูŠูˆ ูˆุงู†
396
+
397
+ 100
398
+ 00:08:29,000 --> 00:08:34,240
399
+ X two
400
+
401
+ 101
402
+ 00:08:34,240 --> 00:08:37,700
403
+ bar minus X one bar ูˆุงุถุญุŸ ุฅุฐุง ุงู„ point estimate ุงู„
404
+
405
+ 102
406
+ 00:08:37,700 --> 00:08:39,660
407
+ difference between the two population means ู…ูŠูˆ
408
+
409
+ 103
410
+ 00:08:39,660 --> 00:08:42,700
411
+ ูˆุงุญุฏ minus ู…ูŠูˆ ุงุซู†ูŠู† equals X one bar minus X two
412
+
413
+ 104
414
+ 00:08:42,700 --> 00:08:51,430
415
+ bar ู„ูˆ ุนูƒุณุชู‡ู… ุจุณ .. ุจูŠุตูŠุฑ ุงู„ุนูƒุณ X2-X1-X2-X2-X1-X2-X2
416
+
417
+ 105
418
+ 00:08:51,430 --> 00:08:53,950
419
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
420
+
421
+ 106
422
+ 00:08:53,950 --> 00:08:55,150
423
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
424
+
425
+ 107
426
+ 00:08:55,150 --> 00:08:59,210
427
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
428
+
429
+ 108
430
+ 00:08:59,210 --> 00:09:03,230
431
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
432
+
433
+ 109
434
+ 00:09:03,230 --> 00:09:13,410
435
+ -X2-X2
436
+
437
+ 110
438
+ 00:09:13,410 --> 00:09:17,610
439
+ -X2ุชูƒูˆู† ููŠ ุนู†ุฏูƒ two groups I mean two different
440
+
441
+ 111
442
+ 00:09:17,610 --> 00:09:22,350
443
+ groups these groups are unrelated ู„ุฅู† ุจุญูƒูŠ ู…ุซู„ุง
444
+
445
+ 112
446
+ 00:09:22,350 --> 00:09:29,730
447
+ ุจุฏุฑุณ females ูˆ males ู…ุด ู…ุฑุชุจุทูŠู† ู…ุง ู„ู‡ู… ู…ุฎุชู„ูุชูŠู† ู‡ุฐูŠู†
448
+
449
+ 113
450
+ 00:09:29,730 --> 00:09:32,930
451
+ ุจูŠุณู…ูŠู‡ู… unrelated ุฃูˆ independent ุทุงู„ู…ุง ุงู„
452
+
453
+ 114
454
+ 00:09:32,930 --> 00:09:35,730
455
+ individuals are not the same ู…ุนู†ุงู‡ ุฃู†ู‡ู…
456
+
457
+ 115
458
+ 00:09:35,730 --> 00:09:38,350
459
+ independent ูŠุนู†ูŠ ุงู„ุฃุดุฎุงุต ู…ุด ุฒูŠ ุจุนุถ ุจูŠุณู…ูŠู‡ู…
460
+
461
+ 116
462
+ 00:09:38,350 --> 00:09:42,550
463
+ independent is an
464
+
465
+ 117
466
+ 00:09:42,550 --> 00:09:46,630
467
+ unrelated independent ู…ุนู†ุงู‡ ุงู„ sample selected
468
+
469
+ 118
470
+ 00:09:46,630 --> 00:09:50,650
471
+ from one population has no effect on the sample
472
+
473
+ 119
474
+ 00:09:50,650 --> 00:09:53,210
475
+ selected from the other population ูŠุนู†ูŠ ุงู„ุนูŠู†ุฉ
476
+
477
+ 120
478
+ 00:09:53,210 --> 00:09:56,370
479
+ ุจุฎุชุงุฑ ู…ู† ุงู„ population ุงูŠู‡ ุจุชุฃุซุฑุด ุนู„ู‰ ุงู„
480
+
481
+ 121
482
+ 00:09:56,370 --> 00:09:58,330
483
+ population ุงู„ู„ูŠ ุงู„ุนูŠู†ุฉ ุจุงุฎุฏู‡ ู…ู† ุงู„ population
484
+
485
+ 122
486
+ 00:09:58,330 --> 00:10:02,130
487
+ ุงู„ุชุงู†ูŠ ู„ู…ุง ุฃุฎุฏ ู…ุซู„ุง ุซู„ุงุซูŠู† ุทุงู„ุจุฉ ุงุฎุชูŠุงุฑู‡ู…ุŸ
488
+
489
+ 123
490
+ 00:10:02,130 --> 00:10:05,630
491
+ ุจูŠุฃุซุฑุด ุนู„ู‰ ุงุฎุชูŠุงุฑ ู…ุซู„ุง ู„ุซู„ุงุซูŠู† ุฃูˆ ู„ุนุดุฑูŠู† ุทุงู„ุจุฉ
492
+
493
+ 124
494
+ 00:10:05,630 --> 00:10:10,070
495
+ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุดุฎุต ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ ู…ุด ู†ูุณู‡ ูุจุณู…ูŠู‡ู…
496
+
497
+ 125
498
+ 00:10:10,070 --> 00:10:19,420
499
+ independent ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ
500
+
501
+ 126
502
+ 00:10:19,420 --> 00:10:25,380
503
+ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ
504
+
505
+ 127
506
+ 00:10:25,380 --> 00:10:26,280
507
+ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ
508
+
509
+ 128
510
+ 00:10:26,280 --> 00:10:26,960
511
+ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ
512
+
513
+ 129
514
+ 00:10:26,960 --> 00:10:31,440
515
+ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ ุฃูˆ
516
+
517
+ 130
518
+ 00:10:37,220 --> 00:10:39,240
519
+ ูˆุงุญุฏ ู…ู† ุงู„ุญุงู„ุงุช ูƒุงู†ุช ุณูŠุฌู…ุง ู…ุนุฑูˆูุฉ ูˆุงู„ุขุฎุฑ ู…ุนุฑูˆูุฉ
520
+
521
+ 131
522
+ 00:10:39,240 --> 00:10:43,420
523
+ ุณูŠุฌู…ุง ุบูŠุฑ ู…ุนุฑูˆูุฉ ููŠ ู‡ุฐู‡ ุงู„ุญู„ู‚ุฉ ุณู†ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ุณูŠุฌู…ุง
524
+
525
+ 132
526
+ 00:10:43,420 --> 00:10:46,920
527
+ ุบูŠุฑ ู…ุนุฑูˆููŠู† ุณูŠุฌู…ุง ูˆุงุญุฏ ูˆุณูŠุฌู…ุง ุงุซู†ูŠู† ุบูŠุฑ ู…ุนุฑูˆููŠู†
528
+
529
+ 133
530
+ 00:10:46,920 --> 00:10:50,140
531
+ ูˆู„ูƒู† ุจุนุถ ุงู„ุฃุญูŠุงู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ูˆุงุญุฏ
532
+
533
+ 134
534
+ 00:10:50,140 --> 00:10:52,920
535
+ ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ุงุซู†ูŠู† ูˆุงู„ุซุงู†ูŠุฉ ุงู„ู…ุนุฑูˆูุฉ ุฃู†ู‡ู…
536
+
537
+ 135
538
+ 00:10:52,920 --> 00:10:59,940
539
+ ู…ุชุณุงูˆูŠูŠู† ูˆู„ูƒู† ู„ูŠุณูˆุง ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง
540
+
541
+ 136
542
+ 00:10:59,940 --> 00:11:06,960
543
+ ูˆุงุญุฏ ู„ูŠุณ ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ู‡ู†ุงุฎุฏ ุญุงู„ุชูŠู† ุฒูŠ ู…ุง ุฎุฏู†ุง ู„ูƒ
544
+
545
+ 137
546
+ 00:11:06,960 --> 00:11:10,200
547
+ ุญุงู„ุชูŠู† sigma known ูˆ unknown ู‡ู†ุง ู‡ู†ุงุฎุฏ ููŠ ุงู„ุญุงู„ุชูŠู†
548
+
549
+ 138
550
+ 00:11:10,200 --> 00:11:14,200
551
+ they are unknown ุจุณ ู…ุฑุฉ we assume they are equal ูˆ
552
+
553
+ 139
554
+ 00:11:14,200 --> 00:11:18,400
555
+ ู…ุฑุฉ ุซุงู†ูŠุฉ they are not equal ุงู„ู„ูŠ ู‡ุจุฏุฃ ููŠู‡ ุงู„ูŠูˆู…
556
+
557
+ 140
558
+ 00:11:18,400 --> 00:11:22,160
559
+ equal ุงู„ู„ูŠ ู‡ูŠ ุงู„ equal ุงู„ู„ุญุธุฉ ุฅู† ุงู„ู…ูˆุถูˆุน ุตุงุฑ ุนู†ุฏูŠ
560
+
561
+ 141
562
+ 00:11:22,160 --> 00:11:27,680
563
+ ู…ุชุดุนุจ ุงู„ chapter ูƒู„ู‡ ู…ู† ู‚ุณู…ูŠู† means ูˆ
564
+
565
+ 142
566
+ 00:11:27,680 --> 00:11:33,170
567
+ proportions ู…ุชูˆุณุท ูˆ ู†ุณุจุฉ ู‡ุฐุง ููŠ ุงู„ู…ุชูˆุณุทุงุช population
568
+
569
+ 143
570
+ 00:11:33,170 --> 00:11:37,230
571
+ means ุงู„ population means ุจุฑุถู‡ ุงูŠู‡ independent ูˆ
572
+
573
+ 144
574
+ 00:11:37,230 --> 00:11:41,030
575
+ related ุงูŠู‡ ู„ูˆ .. ุงู‡ ุงุซู†ูŠู† independent ูˆ related
576
+
577
+ 145
578
+ 00:11:41,030 --> 00:11:46,010
579
+ ูƒูˆูŠุณ ุฃู†ุง ู‡ุงุฎุฏ ู…ูŠู† ุงู„ independent ุงู„ independent
580
+
581
+ 146
582
+ 00:11:46,010 --> 00:11:51,090
583
+ ู‡ุชุงู†ูŠ ู†ูˆุนูŠู† sigma equal ูˆ ู…ุด equal ุญุฏ ุชุนูŠุฏ ุงู„ูƒู„ุงู…
584
+
585
+ 147
586
+ 00:11:51,090 --> 00:11:55,370
587
+ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠ๏ฟฝ๏ฟฝู‡ ูˆุงุญุฏ ู‡ุชุนูŠุฏ ู„ู‡ ูŠุนู†ูŠ ุงู„ุดุงุจุชุฑ ุงู„ู„ูŠ
588
+
589
+ 148
590
+ 00:11:55,370 --> 00:12:00,900
591
+ ู‡ุชุงุฎุฏู‡ ููŠ ุงู„ูƒู„ู…ุชูŠู† ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ูˆู… ู‡ูˆ ุงู„
592
+
593
+ 149
594
+ 00:12:00,900 --> 00:12:03,340
595
+ proportion ูˆ ุงู„ means ุงุญู†ุง ู‡ู†ุฑูƒุฒ ุนู„ู‰ ุงู„
596
+
597
+ 150
598
+ 00:12:03,340 --> 00:12:06,940
599
+ population means ู‡ู„ุฃ ููŠ ุงู„ population means ู‡ู†ููŠู‡
600
+
601
+ 151
602
+ 00:12:06,940 --> 00:12:09,880
603
+ ู‚ุณู…ูŠู† ู‡ูˆ independent samples ูˆ related samples
604
+
605
+ 152
606
+ 00:12:09,880 --> 00:12:14,480
607
+ ุญุงู„ูŠุงู‹ ุงุญู†ุง ู‡ู†ุจุฏุฃ ุจุงู„ independent samples ููŠู‡ุง
608
+
609
+ 153
610
+ 00:12:14,480 --> 00:12:17,900
611
+ ู‚ุณู…ูŠู† ุทุจุนุงู‹ ุจูŠูƒูˆู† ุฏุงุฆู…ุงู‹ sigma unknown ุจุณ ู…ู…ูƒู† ุชูƒูˆู†
612
+
613
+ 154
614
+ 00:12:17,900 --> 00:12:21,440
615
+ sigma one equal sigma two ุฃูˆ not equal ู‡ู†ุจุฏุฃ ุจุงู„
616
+
617
+ 155
618
+ 00:12:21,440 --> 00:12:25,000
619
+ equal ู…ู…ุชุงุฒ ุฅุฐุง ู‡ู†ู‚ู„ู‡ุง ู…ุฑุฉ ุซุงู†ูŠุฉ ุฃุฎุฑู‰ ุงู„ chapter
620
+
621
+ 156
622
+ 00:12:25,000 --> 00:12:28,000
623
+ has two parts population means population
624
+
625
+ 157
626
+ 00:12:28,000 --> 00:12:31,500
627
+ proportions ู‡ุจุฏุฃ ููŠ ุงู„ population means ุงู„
628
+
629
+ 158
630
+ 00:12:31,500 --> 00:12:34,720
631
+ population means ุนู†ุฏู‡ ู†ูˆุนูŠู† ุฅู…ุง independent
632
+
633
+ 159
634
+ 00:12:34,720 --> 00:12:38,780
635
+ samples ุฃูˆ related ู‡ุงุฎุฏ ุงู„ independent ุงู„
636
+
637
+ 160
638
+ 00:12:38,780 --> 00:12:42,460
639
+ independent ููŠ two cases sigma is always assumed
640
+
641
+ 161
642
+ 00:12:42,460 --> 00:12:45,840
643
+ to be unknown but sometimes they are equal and
644
+
645
+ 162
646
+ 00:12:45,840 --> 00:12:50,750
647
+ other maybe they are not equal ุฎู„ุงุต ู†ุจุฏุฃ ู„ุฅู† ุงู„ู„ุญุธุฉ
648
+
649
+ 163
650
+ 00:12:50,750 --> 00:12:54,150
651
+ ู„ุฅู† ุงู„ู„ูŠ ุตุงุฑ ุตุงุฑุช population means independent
652
+
653
+ 164
654
+ 00:12:54,150 --> 00:12:59,170
655
+ samples ู‡ุฐุง ู…ุง ุงุชูƒู„ู…ู†ุงุด ุนู„ูŠู‡ ู„ุณู‡ ู…ุงุญูƒูŠู†ุงูˆุด ุนู„ูŠู‡ ุฎู„ุตุช
656
+
657
+ 165
658
+ 00:12:59,170 --> 00:13:03,710
659
+ ู‡ูŠูƒ ู†ูƒู…ู„ ุงู„ู„ูŠ ุตุงุฑุช ุงู„ู„ูŠ ุตุงุฑุช ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงู„ู„ูŠ ุตุงุฑุช ุนู†ุฏูŠ ูƒุงู†ุช
660
+
661
+ 166
662
+ 00:13:03,710 --> 00:13:08,210
663
+ ุชุงู„ูŠุฉ ุจุฏุฃุช ู…ู† population means independent samples
664
+
665
+ 167
666
+ 00:13:08,210 --> 00:13:12,750
667
+ ูˆุงุถุญ ู‡ูŠูƒ ู†ุชุทู„ุน
668
+
669
+ 168
670
+ 00:13:12,750 --> 00:13:17,530
671
+ ุนู„ู‰ ุงู„ H0 ูˆH1 ููŠ ุงู„ุฐุงูƒุฑุฉ ูƒู†ุง ู†ุญูƒูŠ ุนู† ุงู„ two
672
+
673
+ 169
674
+ 00:13:17,530 --> 00:13:22,210
675
+ tail ูˆ ุงู„ one tail either upper tail or lower tail
676
+
677
+ 170
678
+ 00:13:22,210 --> 00:13:25,790
679
+ ู„ู†ุจุฏุฃ ููŠ ุงู„ two tail ู†ุจุฏุฃ ููŠ ุงู„ two tail
680
+
681
+ 171
682
+ 00:13:41,270 --> 00:13:46,650
683
+ ู‡ุจุฏุฃ ููŠ ุงู„ test two-tailed
684
+
685
+ 172
686
+ 00:13:46,650 --> 00:13:50,850
687
+ ุฑูƒุฒูŠ
688
+
689
+ 173
690
+ 00:13:50,850 --> 00:13:57,090
691
+ ู…ุนุงูŠุง ู„ุฅู† ููŠ ุงู„ test two-tailed ูŠุนู†ูŠ
692
+
693
+ 174
694
+ 00:13:57,090 --> 00:14:02,130
695
+ ู„ุง ูŠุณุงูˆูŠ ู…ุธุจูˆุทุŸ
696
+
697
+ 175
698
+ 00:14:02,130 --> 00:14:03,750
699
+ when mu1 equals mu2
700
+
701
+ 176
702
+ 00:14:11,870 --> 00:14:17,510
703
+ ู…ู…ูƒู† ุฃุญูƒูŠ ู…ูŠูˆ ูˆุงู† ุงูŠูƒูˆุงู„ุฒ ู…ูŠูˆ ุชูˆ ูˆ ุจุชูƒู„ู… ุนู„ู‰ ุงู„
704
+
705
+ 177
706
+ 00:14:17,510 --> 00:14:20,910
707
+ difference between two populations ู„ู…ุง ุจุญูƒูŠ ู…ูŠูˆ
708
+
709
+ 178
710
+ 00:14:20,910 --> 00:14:23,810
711
+ ูˆุงู† ุงูŠูƒูˆุงู„ุฒ ู…ูŠูˆ ุชูˆ ุงูŠุด ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ุง ุงู„ูุฑู‚ ุงู„ู„ูŠ
712
+
713
+ 179
714
+ 00:14:23,810 --> 00:14:29,490
715
+ ุจูŠู†ู‡ู… ู…ุด ู…ุชุณุงูˆูŠ ุฒูŠุฑูˆ ู„ู…ุง
716
+
717
+ 180
718
+ 00:14:29,490 --> 00:14:33,290
719
+ ุจุญูƒูŠ ู…ูŠูˆ ูˆุงู† does not equal ู…ูŠูˆ ุชูˆ ู…ุนู†ุงู‡ุง ุงู„ูุฑู‚
720
+
721
+ 181
722
+ 00:14:33,290 --> 00:14:38,990
723
+ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู…ุง ุจูŠุณุงูˆูŠ ุตูุฑ ุฒุงุฆุฏ ุฃูˆู„ ูˆุงุญุฏุฉ ุฅุฐุง ุจุญูƒูŠ mu1
724
+
725
+ 182
726
+ 00:14:38,990 --> 00:14:43,230
727
+ equals mu2 ููŠ ุงู„ two-tailed ู…ุนู†ุงู‡ ู…ูŠูˆ ูˆุงู† ู„ุง ูŠุณุงูˆูŠ
728
+
729
+ 183
730
+ 00:14:43,230 --> 00:14:47,750
731
+ ู…ูŠูˆ ุชูˆ ุฃูˆ ุจูƒุชุจู‡ุง ุนู„ู‰ ุดูƒู„ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠูˆ
732
+
733
+ 216
734
+ 00:17:47,620 --> 00:17:50,400
735
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
736
+
737
+ 217
738
+ 00:17:50,400 --> 00:17:50,820
739
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
740
+
741
+ 218
742
+ 00:17:50,820 --> 00:17:50,880
743
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
744
+
745
+ 219
746
+ 00:17:50,880 --> 00:17:52,820
747
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ุฅุฐุง ูุฅู† ูƒู„ ูˆุงุญุฏ ู…ู†ูƒู… ูŠุชุฌุงูˆุฒ
748
+
749
+ 220
750
+ 00:17:52,820 --> 00:17:56,740
751
+ ุงู„ู€ NULL ุฅุฐุง ูุฅู† ุชุงุฑูŠุฎ T ูŠุชุฌุงูˆุฒ ููŠ ุงู„ู…ู†ุทู‚ุฉ
752
+
753
+ 221
754
+ 00:17:56,740 --> 00:18:05,200
755
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุขู† ู„ุชุฌุงุฑุจูŠู† ุฃูˆ ุชุงุฑูŠุฎูŠู† ูƒู…
756
+
757
+ 222
758
+ 00:18:05,200 --> 00:18:09,080
759
+ ู…ู† ุงู„ู…ู†ุงุทู‚ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชูŠ ู„ุฏูŠู†ุงุŸ ู‡ู†ุงูƒ 2 ู…ู†ุทู‚ุชูŠู†
760
+
761
+ 223
762
+ 00:18:09,080 --> 00:18:15,040
763
+ ุชุฌุงุฑูŠุฉุŒ ูˆุงุญุฏ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ูˆุงุญุฏ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฅุฐุง ูƒู†ุง
764
+
765
+ 224
766
+ 00:18:15,040 --> 00:18:19,300
767
+ ู†ุชูƒู„ู… ุนู† ู…ุณุชูˆู‰ AlphaุŒ ู…ุณุชูˆู‰ ุงู„ู…ุนุฑูˆู AlphaุŒ ู‡ุฐุง ูŠุนู†ูŠ
768
+
769
+ 225
770
+ 00:18:19,300 --> 00:18:20,020
771
+ ุฃู† ู‡ู†ุงูƒ
772
+
773
+ 226
774
+ 00:18:23,310 --> 00:18:31,830
775
+ ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ
776
+
777
+ 227
778
+ 00:18:31,830 --> 00:18:38,150
779
+ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู†
780
+
781
+ 228
782
+ 00:18:38,150 --> 00:18:44,310
783
+ ุณูˆูŠู† ู†ูุณ ุณูˆูŠ๏ฟฝ๏ฟฝ ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู†
784
+
785
+ 229
786
+ 00:18:44,310 --> 00:18:48,870
787
+ ู†ูุณ
788
+
789
+ 230
790
+ 00:18:48,870 --> 00:18:51,690
791
+ ุณูˆูŠู†
792
+
793
+ 231
794
+ 00:19:10,960 --> 00:19:14,960
795
+ ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ุงุชุตุงู„ูŠุฉ
796
+
797
+ 232
798
+ 00:19:17,590 --> 00:19:24,310
799
+ ุฅู…ุง ุฃูƒุจุฑ ู…ู† T alpha over 2 ุฃูˆ ุฃู‚ู„
800
+
801
+ 233
802
+ 00:19:24,310 --> 00:19:27,810
803
+ ู…ู† negative T alpha over 2ุŒ ูŠุนู†ูŠ ุฅู…ุง T statistic
804
+
805
+ 234
806
+ 00:19:27,810 --> 00:19:31,550
807
+ ูˆุงู‚ุน ู‡ู†ุง ุฃูƒุจุฑ ู…ู† T alpha ุนู„ู‰ 2 ุฃูˆ ุฃู‚ู„ ู…ู† ู†ุงู‚ุต T
808
+
809
+ 235
810
+ 00:19:31,550 --> 00:19:37,150
811
+ alpha ุนู„ู‰ 2ุŒ ู‡ู„ ูŠู†ุทุจู‚ ู„ู…ู†ุŸ ู„ู„ two-tailed testุŒ ุทุจ ู„ูˆ
812
+
813
+ 236
814
+ 00:19:37,150 --> 00:19:43,190
815
+ ูƒุงู†ุช ุงู„ู€ upper tailุŒ ุงู„ู€ upper tail ุจุชูƒูˆู† there is only
816
+
817
+ 237
818
+ 00:19:43,190 --> 00:19:45,990
819
+ one rejection region to the right or to the leftุŸ
820
+
821
+ 238
822
+ 00:19:45,990 --> 00:19:50,190
823
+ right ูˆู„ุง leftุŸ rightุŒ ุฃูƒูŠุฏ rightุŒ ู‡ุชูƒูˆู† ู‡ุฐู‡ ุนุจุงุฑุฉ
824
+
825
+ 239
826
+ 00:19:50,190 --> 00:19:53,630
827
+ ุนู† T ุฃู„ูุฉ ูˆู„ุง ุฃู„ู ุนู„ู‰ ุงุชู†ูŠู†ุŸ ุฃู„ูุฉ ู„ุญุงู„ุฉ ุจุณุŒ ุฃู„ูุฉ
828
+
829
+ 240
830
+ 00:19:53,630 --> 00:19:58,590
831
+ ู„ุญุงู„ุฉุŒ ุงู„ุณุจุจ ุจุชุชูƒู„ู… ุนู„ู‰ one tail ุฅุฐุง ุจุณ ุจุชุจู‚ู‰ ุฃู„ูุฉ
832
+
833
+ 241
834
+ 00:19:58,590 --> 00:20:05,710
835
+ ุงู„ rejection region this green areaุŒ ุฅุฐุง we reject
836
+
837
+ 242
838
+ 00:20:05,710 --> 00:20:08,270
839
+ it's zero if .. ุฅุฐุง reject
840
+
841
+ 243
842
+ 00:20:11,210 --> 00:20:16,450
843
+ H0ุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ Tุณุชุงุช ู…ุงู„ู‡ุง ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ู„ุญุธุฉุŒ
844
+
845
+ 244
846
+ 00:20:16,450 --> 00:20:22,770
847
+ ุฃูƒุจุฑุŒ ู‡ูŠ ุฃูƒุจุฑ ู…ู† T ฮฑู„ูุฉุŒ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† T ุฃู„ูุฉุŒ
848
+
849
+ 245
850
+ 00:20:22,770 --> 00:20:30,130
851
+ ู‡ูˆ ูŠู€RejectุŒ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ ูˆุงุญุฏุฉ ุชู…ู„ูŠู‡ุง ุงู„ุญุงู„ุฉ
852
+
853
+ 246
854
+ 00:20:30,130 --> 00:20:36,390
855
+ ุงู„ุชุงู„ุชุฉุŒ ุฅุฐุง
856
+
857
+ 247
858
+ 00:20:36,390 --> 00:20:39,090
859
+ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ูŠุฉ ุงู„ู€ Upper tail ู‡ูˆ ูŠู€Reject ุฅุฐุง ูƒุงู†ุช
860
+
861
+ 248
862
+ 00:20:39,090 --> 00:20:44,950
863
+ ุงู„ู€ Tุณุชุงุช ุฃูƒุจุฑ ู…ู† T ุฃู„ูุฉุŒ ุงู„ุญู„ ุงู„ุฃุฎูŠุฑุฉ ุฅูŠู‡ุŸ ู‡ูˆ ุงู„ุชุงู†ูŠ
864
+
865
+ 249
866
+ 00:20:44,950 --> 00:20:47,350
867
+ hand lower ูˆ one hand
868
+
869
+ 250
870
+ 00:21:13,560 --> 00:21:22,080
871
+ ุจุณ ุจุงู„ุณู‡ู„ ุจู‚ู‰ ู†ูŠุฌุงุชูŠ ูƒูˆูŠุณุŒ ุฅุฐุง ุงู„ left tail ุฃูˆ ุงู„
872
+
873
+ 251
874
+ 00:21:22,080 --> 00:21:25,940
875
+ lower tail to the left sideุŒ this is negative T
876
+
877
+ 252
878
+ 00:21:25,940 --> 00:21:30,740
879
+ alpha and we reject if the T statistic
880
+
881
+ 253
882
+ 00:21:33,350 --> 00:21:36,830
883
+ ุชู‚ุน ููŠู‡ุงุŒ ูŠุนู†ูŠ if the value of the statistics fall
884
+
885
+ 254
886
+ 00:21:36,830 --> 00:21:40,670
887
+ in the rejection regionุŒ it means if T sets less
888
+
889
+ 255
890
+ 00:21:40,670 --> 00:21:44,790
891
+ than negative T alpha in this area then we reject
892
+
893
+ 256
894
+ 00:21:44,790 --> 00:21:47,490
895
+ the null hypothesisุŒ ุฅุฐุง ููŠ ุนู†ุฏู†ุง three different
896
+
897
+ 257
898
+ 00:21:47,490 --> 00:21:51,950
899
+ scenarios for two-tiered testุŒ there are two
900
+
901
+ 258
902
+ 00:21:51,950 --> 00:21:52,710
903
+ rejection regions
904
+
905
+ 259
906
+ 00:21:59,280 --> 00:22:03,440
907
+ ูˆุฅุฐุง ูƒุงู†ุช ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
908
+
909
+ 260
910
+ 00:22:03,440 --> 00:22:04,000
911
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
912
+
913
+ 261
914
+ 00:22:04,000 --> 00:22:04,660
915
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
916
+
917
+ 262
918
+ 00:22:04,660 --> 00:22:04,720
919
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
920
+
921
+ 263
922
+ 00:22:04,720 --> 00:22:05,680
923
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
924
+
925
+ 264
926
+ 00:22:05,680 --> 00:22:06,200
927
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
928
+
929
+ 265
930
+ 00:22:06,200 --> 00:22:07,580
931
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
932
+
933
+ 266
934
+ 00:22:07,580 --> 00:22:12,590
935
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูˆู†ู†ู‚ู„
936
+
937
+ 267
938
+ 00:22:12,590 --> 00:22:16,050
939
+ ุฏุงุฆู…ุง ุฅุฐุง ูƒุงู†ุช ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุชุชุฎู„ุต ููŠ ุฃุนู„ู‰ ุฃุณู„ุญุฉ
940
+
941
+ 268
942
+ 00:22:16,050 --> 00:22:20,470
943
+ ุฃุนู†ูŠ ุฃูƒุชุฑ ู…ู† T ุฃู„ูุฉ ุฃูˆ ุฅุฐุง ูƒุงู†ุช ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุชุชุฎู„ุต
944
+
945
+ 269
946
+ 00:22:20,470 --> 00:22:24,270
947
+ ููŠ ุฃุณู„ุญุฉ ุงู„ุฃุณูู„ุŒ ุฃุนู†ูŠ ุฅุฐุง ูƒุงู†ุช T ุฃุณู„ุญุฉ ุฃูƒุชุฑ ู…ู† ู†ู‚ู„
948
+
949
+ 270
950
+ 00:22:24,270 --> 00:22:28,870
951
+ T ุฃู„ูุฉุŒ ูู‡ุฐู‡ ุงู„ุตูุญุฉ ู‡ูŠ ููŠ ุงู„ูˆุงู‚ุน ู†ูุณ ู…ุง ูุนู„ู†ุงู‡ ููŠ
952
+
953
+ 271
954
+ 00:22:28,870 --> 00:22:35,930
955
+ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉุŒ ู†ูุณ ุงู„ูƒู„ุจ ุฃุฎุฏู‡ุง ููŠ ุงู„ุฃูˆู„ ุฒูŠ
956
+
957
+ 272
958
+ 00:22:35,930 --> 00:22:42,330
959
+ ู…ุง ุญูƒูŠุชุŒ ุนู†ุฏูŠ population meansุŒ ุณุฃุจุฏุฃ ุจุงู„ุงู†ุฏุจู†ุฏู†ุช ูˆููŠ
960
+
961
+ 273
962
+ 00:22:42,330 --> 00:22:45,990
963
+ ุงู„ุงู†ุฏุจู†ุฏู†ุช ุณู†ุฃุฎุฐ ู…ุงุฐุงุŸ ุณูŠุฌู…ุง ูˆุงู† ูˆุณูŠุฌู…ุง ุชูˆ ูˆุงู†ูˆู†
964
+
965
+ 274
966
+ 00:22:45,990 --> 00:22:49,830
967
+ ูˆู„ูƒู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู…ุชุณุงูˆูŠูŠู†ุŒ ู‡ุฐู‡ ู‡ูŠ ุงู„ุงูุชุฑุงุถุงุช ุงู„ู„ูŠ ุฃู†ุง
968
+
969
+ 275
970
+ 00:22:49,830 --> 00:22:57,530
971
+ ุดุบุงู„ ููŠู‡ุง ู‡ู†ุงุŒ ู‡ู†ุงูƒ ุซู„ุงุซุฉ ุงูุชุฑุงุถุงุชุŒ ู†ู…ุจุฑ ูˆุงุญุฏ ุงู„ู€ samples
972
+
973
+ 276
974
+ 00:22:57,530 --> 00:23:01,690
975
+ ู‡ู… ุฑุงู†ุฏูˆู…ูŠ ูˆุงู†ุฏุจู†ุฏู†ุชูŠ ุฏุฑูˆู† ุงู„ุนูŠู†ุงุชุŒ ุฅุฐุง ุฃุฎุฏู‡ู…
976
+
977
+ 277
978
+ 00:23:01,690 --> 00:23:07,540
979
+ ุฅุซู†ุชูŠู† ุฑุงู†ุฏู…ุŒ ูŠุนู†ูŠ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ูˆู…ุณุชู‚ู„ุŒ ูŠุนู†ูŠ ุชู… ุณุญุจ
980
+
981
+ 278
982
+ 00:23:07,540 --> 00:23:11,880
983
+ ุนุดูˆุงุฆูŠุง ูˆุจุงุณุชู‚ู„ุงู„ูŠุฉุŒ ู…ุนู†ู‰ ุงุณุชู‚ู„ุงู„ูŠุฉ ูŠุนู†ูŠ ุงู„ sample
984
+
985
+ 279
986
+ 00:23:11,880 --> 00:23:16,540
987
+ from one population does not affect your choice
988
+
989
+ 280
990
+ 00:23:16,540 --> 00:23:20,240
991
+ from the second populationุŒ so assumption number
992
+
993
+ 281
994
+ 00:23:20,240 --> 00:23:24,600
995
+ oneุŒ samples are randomly and independently drawn
996
+
997
+ 282
998
+ 00:23:24,600 --> 00:23:31,750
999
+ ุชู… ุณุญุจ ุนุดูˆุงุฆูŠุง ูˆุจุทุฑูŠู‚ุฉ ู…ุณุชู‚ู„ุฉุŒ ุฑู‚ู… ุฅุซู†ูŠู†ุŒ ุงู„ุชูˆุฒูŠุน
1000
+
1001
+ 283
1002
+ 00:23:31,750 --> 00:23:38,950
1003
+ ุทุจูŠุนูŠ ุฃูˆ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ
1004
+
1005
+ 284
1006
+ 00:23:38,950 --> 00:23:45,520
1007
+ ุฃูˆ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠุŒ ุฃูˆ ุงู„ู€
1008
+
1009
+ 285
1010
+ 00:23:45,520 --> 00:23:49,780
1011
+ Size ู„ู„ุฃูˆู„ ูˆ ุงู„ู€ Size ู„ู„ุชุงู†ูŠุŒ ูƒู„ ูˆุงุญุฏุฉ at least
1012
+
1013
+ 286
1014
+ 00:23:49,780 --> 00:23:55,780
1015
+ ุซู„ุงุซูŠู†ุŒ ูŠุนู†ูŠ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุซู„ุงุซูŠู†ุŒ ู‡ู„ ุงู„ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูˆู„ุง
1016
+
1017
+ 287
1018
+ 00:23:55,780 --> 00:23:59,480
1019
+ ุงู„ุฅุซู†ูŠู†ุŸ ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู…ุŒ ูŠุนู†ูŠ ูƒู„ ูˆุงุญุฏุฉ ุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ
1020
+
1021
+ 288
1022
+ 00:23:59,480 --> 00:24:02,020
1023
+ ูŠุณุงูˆูŠ ุซู„ุงุซูŠู†ุŒ ูŠุนู†ูŠ ู„ุง ูˆุงุญุฏุฉ ุฎู…ุณุฉ ุฃูˆ ุซู„ุงุซูŠู†ุŒ ูˆุงุญุฏุฉ
1024
+
1025
+ 289
1026
+ 00:24:02,020 --> 00:24:06,320
1027
+ ุนุดุฑูŠู† ู…ุง ุชู†ูุนุดุŒ ู„ุงุฒู… ุฅุซู†ุชูŠู† ู…ุงู„ู‡ู… ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุซู„ุงุซูŠู†
1028
+
1029
+ 290
1030
+ 00:24:06,320 --> 00:24:08,780
1031
+ ุฅุฐุง ุงู„ condition ุงู„ุชุงู†ูŠุŒ ุงู„ populations are
1032
+
1033
+ 291
1034
+ 00:24:08,780 --> 00:24:12,500
1035
+ normally distributed or both sample sizes are at
1036
+
1037
+ 292
1038
+ 00:24:12,500 --> 00:24:18,000
1039
+ least 30ุŒ ุฑู‚ู… ุซู„ุงุซู‡ ุงู„ู€ Population variances are
1040
+
1041
+ 293
1042
+ 00:24:18,000 --> 00:24:23,580
1043
+ ู…ุงู„ู‡ู…ุŸ unknownุŒ but we assume equalุŒ ู‡ุฐุง ุงู„
1044
+
1045
+ 294
1046
+ 00:24:23,580 --> 00:24:25,920
1047
+ condition ุงู„ู„ูŠ ุฃู†ุง ุดุบุงู„ ุนู„ูŠู‡ุŒ there are three
1048
+
1049
+ 295
1050
+ 00:24:25,920 --> 00:24:30,540
1051
+ assumptionsุŒ random ูˆ independent ุฑู‚ู… ูˆุงุญุฏุŒ ุฅุซู†ูŠู†
1052
+
1053
+ 296
1054
+ 00:24:30,540 --> 00:24:33,360
1055
+ normal ุฃูˆ ุงู„ sizes are large enoughุŒ I mean large
1056
+
1057
+ 297
1058
+ 00:24:33,360 --> 00:24:36,580
1059
+ enough means 30 and aboveุŒ and the last oneุŒ
1060
+
1061
+ 298
1062
+ 00:24:36,820 --> 00:24:43,370
1063
+ sigma's are unknown but they ุฎู„ุงุต ู‡ุฐูˆู„ ุงู„ three
1064
+
1065
+ 299
1066
+ 00:24:43,370 --> 00:24:49,130
1067
+ assumptionsุŒ any questionุŸ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุงู„ุฃุณุชุงุฐ ุงู„ู€ doctorate
1068
+
1069
+ 300
1070
+ 00:24:49,130 --> 00:24:53,250
1071
+ population ู…ุด .. ู†ุญูƒูŠ ู…ุน .. ู†ุชุนุงู…ู„ ู…ุน ุงู„ sigma ู…ุด
1072
+
1073
+ 301
1074
+ 00:24:53,250 --> 00:24:55,190
1075
+ ู…ุน ุงู„ varianceุŒ ู…ุน ุงู„ standard deviation ุตุญูŠุญ
1076
+
1077
+ 302
1078
+ 00:24:55,190 --> 00:24:57,430
1079
+ population standard deviation ุตุญูŠุญ ุตุญูŠุญ ู…ุง ุจู†ุญูƒูŠ
1080
+
1081
+ 303
1082
+ 00:24:57,430 --> 00:24:59,730
1083
+ population standard deviation ูˆ population
1084
+
1085
+ 304
1086
+ 00:24:59,730 --> 00:25:02,310
1087
+ variance ุฒูŠ ุจุนุถุŒ ูˆุงุญุฏุฉ square ูˆ ุซุงู†ูŠุฉ ุงู‡ ู‡ูŠ second
1088
+
1089
+ 305
1090
+ 00:25:02,310 --> 00:25:05,570
1091
+ ู…ุด ู…ุดูƒู„ุฉุŒ ู…ุง ุจู†ุญูƒูŠ population variance ูˆ ู„ุง .. ู†ูุณ
1092
+
1093
+ 306
1094
+ 00:25:05,570 --> 00:25:08,790
1095
+ ุงู„ุดูŠุกุŒ ู†ูุณ ุงู„ .. ุจุณ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ุงู„ sigma ู„ุญุงู„ุฉ
1096
+
1097
+ 307
1098
+ 00:25:08,790 --> 00:25:13,950
1099
+ ุตุญูŠุญุŒ ูุงู„ุดุบู„ ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ู…ุน ุจุนุถ ุงู„ุขู†ุŒ ููŠ ุนู†ุฏูŠ
1100
+
1101
+ 308
1102
+ 00:25:13,950 --> 00:25:17,710
1103
+ ุชุนุฑูŠููŠู† ู…ู‡ู…ุงุช ุฌุฏุงุŒ ุฃู†ุง ุนู†ุฏูŠ two samples ู…ุด ู‡ูŠูƒ
1104
+
1105
+ 309
1106
+ 00:25:18,650 --> 00:25:21,490
1107
+ ุงู„ุนูŠู†ุฉ ุงู„ุฃูˆู„ู‰ ู„ู‡ุง standard deviation ูˆุงู„ุซุงู†ูŠุฉ ู„ู‡ุง
1108
+
1109
+ 310
1110
+ 00:25:21,490 --> 00:25:25,950
1111
+ standard deviation ู…ุฎุชู„ูุฉุŒ ู‡ุฃุฌู…ุนู‡ู… ู…ุน ุจุนุถ ูˆุฃุทู„ุน
1112
+
1113
+ 311
1114
+ 00:25:25,950 --> 00:25:30,470
1115
+ variance ู„ู„ุงุซู†ูŠู† ู…ุน ุจุนุถุŒ ูŠุนู†ูŠ ู†ูุชุฑุถ ุชุจุงูŠู† ุงู„ู…ุฌู…ูˆุนุฉ
1116
+
1117
+ 312
1118
+ 00:25:30,470 --> 00:25:35,190
1119
+ ุชุจุน ุงู„ุทู„ุงุจ ุงู„ variance ุฎู…ุณุฉ ูˆุฎู…ุณุฉ ูˆ ุงู„ุทู„ุงุจ ุนุดุฑูŠู†ุŒ ุฅูŠุด
1120
+
1121
+ 313
1122
+ 00:25:35,190 --> 00:25:40,130
1123
+ ุงู„ุชุจุงูŠู† ู„ู„ุงุซู†ูŠู† ู…ุน ุจุนุถุŸ ู‡ุฐุง ุจู†ุณู…ูŠู‡ ุงู„ pooled variance
1124
+
1125
+ 314
1126
+ 00:25:40,130 --> 00:25:48,720
1127
+ ู…ุง ูŠู†ูุนุด ุฒูŠ ู…ุง ุญูƒุช ุฒู…ูŠู„ุชูƒ ูŠูƒูˆู† ู…ุซู„ุง ุนู†ุฏูŠ two groups
1128
+
1129
+ 315
1130
+ 00:25:48,720 --> 00:26:00,300
1131
+ ู…ุซู„ุง female ูˆ male ูˆ ู†ูุชุฑุถ ุงู„ุทุงู„ุจุงุช ุนุฏุฏู‡ู… ุนุดุฑูŠู† ูˆ
1132
+
1133
+ 316
1134
+ 00:26:00,300 --> 00:26:07,080
1135
+ ุงู„ุทู„ุงุจ ุนุฏุฏู‡ู… ุฎู…ุณุฉ ุนุดุฑุŒ ู†ูุชุฑุถ ุงู„ variance ู„ู„ุทุงู„ุจุงุช
1136
+
1137
+ 317
1138
+ 00:26:07,080 --> 00:26:13,440
1139
+ ู†ูุชุฑุถ eight point five ูˆ ุงู„ variance ู„ู„ุทู„ุงุจ ู†ูุชุฑุถ
1140
+
1141
+ 318
1142
+ 00:26:13,440 --> 00:26:18,340
1143
+ six point fiveุŒ ุจู†ุชุทู„ุน ุงู„ variance ู„ู„ุฅุซู†ูŠู† ู…ุน ุจุนุถ
1144
+
1145
+ 319
1146
+ 00:26:18,340 --> 00:26:24,300
1147
+ ุจู†ุณู…ูŠู‡ pooled varianceุŒ ุฅูŠุด ู…ุนู†ู‰ pooledุŸ ุงู„ู…ุฌู…ุนุŒ
1148
+
1149
+ 320
1150
+ 00:26:24,300 --> 00:26:32,440
1151
+ ุงู„ุชุจุงูŠู† ุงู„ู…ุฌู…ุนุŒ ุงู„ pooled variance ุญุงุทูŠู„ู‡
1152
+
1153
+ 321
1154
+ 00:26:32,440 --> 00:26:42,300
1155
+ ุฑู…ุฒ SยฒPุŒ ูˆ ุงู„ P ู„ูƒู„ู…ุฉ pooledุŒ ู…ุง ูŠู†ูุนุด ุฃุทู„ุน ุงู„ pooled
1156
+
1157
+ 322
1158
+ 00:26:42,300 --> 00:26:46,300
1159
+ variance ุฃุฌู…ุน ุงู„ุฅุซู†ูŠู† ู…ุน ุจุนุถุŒ ู„ุฃู† ุงู„ุญุฌุงู… ุงู„ู„ูŠ ู‡ู… ุงู„ู€
1160
+
1161
+ 323
1162
+ 00:26:46,300 --> 00:26:57,320
1163
+ sizes ู…ุด ุฒูŠ ุจุนุถุŒ ูุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ุง SยฒP ุจูŠุณุงูˆูŠ N1-1 S1ยฒ
1164
+
1165
+ 324
1166
+ 00:26:57,320 --> 00:27:02,680
1167
+ ู„ู„ุนูŠู†ุฉ ุงู„ุฃูˆู„ู‰ุŒ N1 ุงู„ู„ูŠ ู‡ูŠ ุงู„ sample size ู„ู„ุฃูˆู„ู‰ ู†ุงู‚ุต
1168
+
1169
+ 325
1170
+ 00:27:02,680 --> 00:27:12,200
1171
+ ูˆุงุญุฏ ููŠ S1ยฒุŒ ุฒุงุฆุฏ ุงู„ุซุงู†ูŠุฉ N2 ู†ุงู‚ุต ูˆุงุญุฏ ููŠ S2 ุชุฑุจูŠุน
1172
+
1173
+ 326
1174
+ 00:27:12,200 --> 00:27:18,410
1175
+ ู…ู‚ุตูˆู… ุนู„ู‰ ู…ูŠู†ุŸ ุชุชุฐูƒุฑ ูƒุงู† ู‡ู†ุงูƒ ุนุจุงุฑุฉ ุนู† N ู†ุงู‚ุต ูˆุงุญุฏุŸ
1176
+
1177
+ 327
1178
+ 00:27:18,410 --> 00:27:22,550
1179
+ ูƒุงู† ุจุณ ุฃู† ุฃู†ุง ุนู†ุฏูŠ ุนูŠู†ุชูŠู†ุŒ ุงู„ุฃูˆู„ู‰ ู‡ุชูƒูˆู† N ู†ุงู‚ุต ูˆุงุญุฏ
1180
+
1181
+ 328
1182
+ 00:27:22,550 --> 00:27:28,650
1183
+ N ูˆุงุญุฏ ูˆ ุงู„ุซุงู†ูŠุฉ N two ู†ุงู‚ุต ูˆุงุญุฏุŒ ูŠุนู†ูŠ ู‡ุชูƒูˆู† N one
1184
+
1185
+ 329
1186
+ 00:27:28,650 --> 00:27:33,970
1187
+ ู†ุงู‚ุต ูˆุงุญุฏ ุฒุงุฆุฏ N two ู†ุงู‚ุต ูˆุงุญุฏุŒ ุฃูˆ ู…ู…ูƒู† ุฃูƒุชุจ ู‡ุฐุง
1188
+
1189
+ 330
1190
+ 00:27:33,970 --> 00:27:40,870
1191
+ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู„ูˆ ุฌู…ุนุชู‡ู… ู…ุน ุจุนุถ ุฅูŠุด ุจูŠุทู„ุนูˆุงุŸ ุงุฌู…ุนูŠู‡ู…
1192
+
1193
+ 331
1194
+ 00:27:40,870 --> 00:27:43,530
1195
+ N one ู†ุงู‚ุต ูˆุงุญุฏ ุฒุงุฆุฏ N two ู†ุงู‚ุต ูˆุงุญุฏุŒ ุฅูŠุด ุจูŠุทู„ุนูˆุง
1196
+
1197
+ 332
1198
+ 00:27:43,530 --> 00:27:48,180
1199
+ ู…ุน ุจุนุถุŸ N1 ุฒุงุฆุฏ N2 ู†ุงู‚ุต 2ุŒ ู…ู…ุชุงุฒุฉ ูŠุง ุนุฒูŠุฒูŠุŒ ุฃู†ุง
1200
+
1201
+ 333
1202
+ 00:27:48,180 --> 00:27:53,380
1203
+ ู‡ู…ุณุญู‡ุŒ ู…ุด ู‡ูƒุชุจ ุฒูŠ ู…ุง ู‡ูˆ ุงู„ูƒุงุชุจ ู‡ู†ุงูƒุŒ ู‡ูƒุชุจ N1 ุฒุงุฆุฏ N2
1204
+
1205
+ 334
1206
+ 00:27:53,380 --> 00:27:58,320
1207
+ ู†ุงู‚ุต 2ุŒ ุนุฑูุช ู…ู† ุฃูŠู† ุฃุชุฌู‡ุช ุงู„ุฃูˆู„ู‰ N1 ู†ุงู‚ุต 1 ูˆ
1208
+
1209
+ 335
1210
+ 00:27:58,320 --> 00:28:02,500
1211
+ ุงู„ุซุงู†ูŠุฉ N2 ู†ุงู‚ุต 1ุŒ ุงุฌู…ุนูŠู† ุจูŠุทู„ุน N1 ุฒุงุฆุฏ N2 ู†ุงู‚ุต 2
1212
+
1213
+ 336
1214
+ 00:28:02,500 --> 00:28:07,310
1215
+ ุฅุฐุง ู‡ูŠ ุงู„ุชุจุงูŠู† ุงู„ุฌุฏูŠุฏุŒ ู‡ุฐุง ููŠ ุญุงู„ุฉ ู…ูŠู†ุŸ ุฅู† ุงู„ู€
1216
+
1217
+ 337
1218
+ 00:28:07,310 --> 00:28:13,210
1219
+ variances are unknown ุจุณ ู…ุง ู„ู‡ู… they are equalุŒ ุทูŠุจ
1220
+
1221
+ 338
1222
+ 00:28:13,210 --> 00:28:21,830
1223
+ ุฏูŠ ุงู„ statistic ุนุจุงุฑุฉ ุนู† ุฅูŠู‡ุŸ
1224
+
1225
+ 339
1226
+ 00:28:21,830 --> 00:28:25,150
1227
+ ุชุฐูƒุฑูˆุง
1228
+
1229
+ 340
1230
+ 00:28:25,150 --> 00:28:29,290
1231
+ ุงู„ one sampleุŸ ุฅูŠุด ุงู„ู‚ุงู†ูˆู†ุŸ ุงู„ X bar ู†ุงู‚ุต X bar
1232
+
1233
+ 341
1234
+ 00:28:29,290 --> 00:28:34,610
1235
+ ู†ุงู‚ุต Mu ู†ุงู‚ุต Mu ุนู„ู‰ over standard over square
1236
+
1237
+ 342
1238
+ 00:28:34,610 --> 00:28:40,970
1239
+ root of oneุŒ ุทุจุนุง ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ู…ู…ูƒู† ุฃูƒุชุจ ุจุดูƒู„ ุซุงู†ูŠ x
1240
+
1241
+ 343
1242
+ 00:28:40,970 --> 00:28:45,690
1243
+ bar ู†ุงู‚ุต ู…ูŠูˆุŒ ุงู„ู…ู‚ุงู… ู…ู…ูƒู† ุฃุนู…ู„ู‡ ุฒูŠ ู‡ูŠูƒุŒ ู…ุด ุจูŠู†ูุน
1244
+
1245
+ 344
1246
+ 00:28:45,690 --> 00:28:49,990
1247
+ ุทุงู„ู…ุง
1248
+
1249
+ 345
1250
+ 00:28:49,990 --> 00:28:52,310
1251
+ ุจูƒุชุจ s ุนู„ู‰ square root ู„ุฃู† ูƒู„ู‡ ุจุญูˆุท ุชุญุช square
1252
+
1253
+ 346
1254
+ 00:28:52,310 --> 00:28:58,270
1255
+ rootุŒ ุงู„ุฃุณ ุจุชุฎุด ุฌูˆุง ุชุฑุจูŠุนุŒ ู…ุธุจูˆุทุŒ ูˆู‡ูŠ ุงู„ุฃู†ู…ูˆุฑ ู‡ูƒ ุตุญ
1256
+
1257
+ 347
1258
+ 00:28:58,270 --> 00:29:07,050
1259
+ ู‡ุฐุง ู„ูˆ ุฃู†ุง ุฃุฎุฐู†ุง ู‡ุฐุง ูƒู„ู‡ ู‡ู†ุง for one sampleุŒ ุจุงู„ุดุฑุทุฉ
1260
+
1261
+ 348
1262
+ 00:29:07,050 --> 00:29:11,470
1263
+ ุงู„ุชุงุณุนุฉุŒ ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ two samplesุŒ ูุชุณุฉ ุชุณูƒ ุฅูŠุด
1264
+
1265
+ 349
1266
+ 00:29:11,470 --> 00:29:15,470
1267
+ ู‡ุชุณุงูˆูŠ ูุงูƒุฒูŠ
1268
+
1269
+ 350
1270
+ 00:29:15,470 --> 00:29:19,990
1271
+ ู…ุนุงูŠุง ุจุฏู„ ุงู„ X bar ูˆุงุญุฏุฉุŒ ุฅูŠุด ุตุงุฑ ุนู†ุฏ ุงู„
1272
+
1273
+ 351
1274
+ 00:29:19,990 --> 00:29:23,390
1275
+ difference between ู…ูŠูˆ ูˆุงู† ู†ุงู‚ุต ู…ูŠูˆ ุงุชูˆุงุŒ ุงู„
1276
+
1277
+ 352
1278
+ 00:29:23,390 --> 00:29:27,850
1279
+ estimate ู„ู‡ X one bar ู†ุงู‚ุต X one barุŒ ูŠุนู†ูŠ ุจุฏู„ ุงู„
1280
+
1281
+ 353
1282
+ 00:29:27,850 --> 00:29:31,310
1283
+ X bar ู‡ูŠ ุฏู‡ุŒ ุฅูŠุด ุตุงุฑุช X one bar ู†ุงู‚ุต X one bar
1284
+
1285
+ 354
1286
+ 00:29:31,310 --> 00:29:38,530
1287
+ ู†ุงู‚ุตุŒ ูˆุจุฏู„ ู…ูŠูˆู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ
1288
+
1289
+ 355
1290
+ 00:29:38,530 --> 00:29:40,590
1291
+ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†
1292
+
1293
+ 356
1294
+ 00:29:40,590 --> 00:29:43,890
1295
+ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ
1296
+
1297
+ 357
1298
+ 00:29:43,890 --> 00:29:46,570
1299
+ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ
1300
+
1301
+ 358
1302
+ 00:29:46,570 --> 00:29:48,890
1303
+ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ
1304
+
1305
+ 359
1306
+ 00:29:48,890 --> 00:29:48,930
1307
+ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ
1308
+
1309
+ 360
1310
+ 00:29:48,930 --> 00:29:49,450
1311
+ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ
1312
+
1313
+ 361
1314
+ 00:29:49,450 --> 00:29:52,130
1315
+ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆุŒ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ
1316
+
1317
+ 362
1318
+ 00:29:52,130 --> 00:30:00,230
1319
+ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุง
1320
+
1321
+ 363
1322
+ 00:30:02,670 --> 00:30:06,550
1323
+ ุชู„ุงุญุธ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุตุญุŒ ุดูƒู„ู‡ ุฌุฏูŠุฏ ู„ุฃู† ุจู‚ุฏุฑ ุฃุนุฑูู‡ ู…ู†
1324
+
1325
+ 364
1326
+ 00:30:06,550 --> 00:30:11,590
1327
+ ุฃูŠู†ุŸ ู…ู† ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ x bar ู†ุงู‚ุต mu ุนู„ู‰ s ุนู„ู‰
1328
+
1329
+ 365
1330
+ 00:30:11,590 --> 00:30:15,690
1331
+ square root of nุŒ ูƒุฏู‡ ูƒุฏู‡ ููŠ ุงู„ุชุญุงู…ูุŒ ุฃุนุทูŠูƒ ุงู„ู‚ุงู†ูˆู†
1332
+
1333
+ 366
1334
+ 00:30:15,690 --> 00:30:19,770
1335
+ ุจุชุงุน square root ูˆ ุจุชุงุน T statisticุŒ ุงู„ู„ูŠ ูŠุนู†ูŠ ุงู„ T
1336
+
1337
+ 367
1338
+ 00:30:19,770 --> 00:30:25,890
1339
+ statistic ู‡ุฐุง ู„ู‡ T distribution with degrees of
1340
+
1341
+ 368
1342
+ 00:30:25,890 --> 00:30:31,100
1343
+ freedomุŒ ุชุชุฐูƒุฑ ุฅูŠู‡ ููŠ ู„ู…ุง ูƒุงู†ุช one sample ุงู„ู€DF ู…ุด
1344
+
1345
+ 369
1346
+ 00:30:31,100 --> 00:30:36,480
1347
+ ูƒุงู†ุช ุชุชุณุงูˆูŠ N-1ุŒ N-1 ู…ุธุจูˆุทุŸ ุทุจ ู„ู…ุง ุฃุตุจุญุช two samples
1348
+
1349
+ 370
1350
+ 00:30:36,480 --> 00:30:44,660
1351
+ ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ุงู„ุฃูˆู„ N1-1 ูˆ ุงู„ุซุงู†ูŠ N2-1ุŒ ู„ูˆ ุฌู…ุนุชู‡ู… N1
1352
+
1353
+ 371
1354
+ 00:30:44,660 --> 00:30:48,620
1355
+ ุฒุงุฆุฏ N2 ู†ุงู‚ุต 2ุŒ ุฅุฐุง degrees of freedom equals N1
1356
+
1357
+ 372
1358
+ 00:30:48,620 --> 00:30:52,880
1359
+ ุฒุงุฆุฏ N2 ู†ุงู‚ุต 2ุŒ ูŠุนู†ูŠ ูƒู„ ุงู„ุดูŠุก ุงู„ุฌุฏูŠุฏ ููŠ ุงู„ู…ูˆุถูˆุน
1360
+
1361
+ 373
1362
+ 00:30:52,880 --> 00:30:59,720
1363
+ ุงู„ู„ูŠ ุชุจู‚ู‰ ุงู„ูŠูˆู… ุฃุทู„ุน ุงู„ SยฒP ู‡ุฐู‡ุŒ ุงู„ู‚ุงู†ูˆู† ุงู„ุฌุฏูŠุฏุŒ ูˆู‡ูŠ
1364
+
1365
+ 374
1366
+ 00:30:59,720 --> 00:31:02,580
1367
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุฌุฏูŠุฏุฉุŒ ูˆุงุถุญุฉ ุฃู†ู‡ุง extension ู„ู„ูŠ ุฃุฎุฐู†ุงู‡ุง ููŠ
1368
+
1369
+ 375
1370
+ 00:31:02,580 --> 00:31:08,420
1371
+ ุงู„ุฃูˆู„ุŒ ูˆ ุงู„ DFD ู…ุง ูƒุงู†ุช N ุฃู‚ุตุฏู‡ุง ุญุตุงุฑุฉ N1 ุฒุงุฆุฏ N2
1372
+
1373
+ 376
1374
+ 00:31:08,420 --> 00:31:14,500
1375
+ ู†ุงู‚ุต ุงู„ confidence interval ู‡ุฐู‡ุŒ ู†ุนู…ู„ู‡ุง skip ุฒูŠ ู…ุง
1376
+
1377
+ 377
1378
+ 00:31:14,500 --> 00:31:19,880
1379
+ ุญูƒูŠุชุŒ ุญุฏ
1380
+
1381
+ 378
1382
+ 00:31:19,880 --> 00:31:24,780
1383
+ ูŠู‚ุฑุฃ ุงู„ู„ูŠ ุงู†ุชู‡ู‰ุŒ you are of a neutral English for a
1384
+
1385
+ 379
1386
+ 00:31:24,780 --> 00:31:29,940
1387
+ brokerage firmุŒ Is there a difference in a divided
1388
+
1389
+ 380
1390
+ 00:31:29,940 --> 00:31:37,620
1391
+ yield between stocks listed on the NYSE
1392
+
1393
+ 381
1394
+ 00:31:37,620 --> 00:31:40,680
1395
+ and NASDAQ?
1396
+
1397
+ 382
1398
+ 00:31:42,790 --> 00:31:45,570
1399
+ ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠู‡ ุฅู† ุงูุชุฑุถ you are financial analyst
1400
+
1401
+ 383
1402
+ 00:31:45,570 --> 00:31:50,810
1403
+ ุฃู†ุช ู…ุญู„ู„ ู…ุงู„ูŠ for brokerage firmุŒ brokerage firm
1404
+
1405
+ 384
1406
+ 00:31:50,810 --> 00:31:56,490
1407
+ ูŠุนู†ูŠ ุดุฑูƒุฉ ู„ู„ุณู…ุณุฑุฉุŒ is there a difference in
1408
+
1409
+ 385
1410
+ 00:31:56,490 --> 00:32:01,130
1411
+ dividend yieldุŸ ุจุชุนุฑู ุงู„ุดุฑูƒุงุช ุงู„ู€ semester ุจูŠูˆุฒุนูˆุง
1412
+
1413
+ 386
1414
+ 00:32:01,130 --> 00:32:05,290
1415
+ ุฃุฑุจุงุญู‡ุงุŒ ู…ุธุจูˆุท ู„ู„ุฃุณู‡ู…ุŒ ูˆ ููŠ ุนู†ุฏู‡ ู†ูˆุนูŠู† ู…ู† ุงู„
1416
+
1417
+ 387
1418
+ 00:32:05,290 --> 00:32:10,770
1419
+ stocksุŒ ูˆุงุญุฏ ุงุฎุชุตุงุฑ ูˆ ู†ูŠุณ NYSE ูˆ ุงู„ุซุงู†ูŠ ุงู„ู†ุงุณุฏุงูƒุŒ NASDAQ
1420
+
1421
+ 388
1422
+ 00:32:11,490 --> 00:32:14,610
1423
+ ุจู†ูุชุฑุถ ุฃู†ูƒ ุชุฌู…ุน ุงู„ุจูŠุงู†ุงุช ุงู„ุชุงู„ูŠุฉุŒ ุนู†ุฏูŠ ุดูˆูŠุฉ ุจูŠุงู†ุงุช
1424
+
1425
+ 389
1426
+ 00:32:14,610 --> 00:32:23,550
1427
+ number of stacks ู„ู†ูŠุณ 21ุŒ ุงู„ู€ average ุงู„ sample
1428
+
1429
+ 390
1430
+ 00:32:23,550 --> 00:32:29,230
1431
+
1432
+ 431
1433
+ 00:35:24,370 --> 00:35:29,850
1434
+ plus
1435
+
1436
+ 432
1437
+ 00:35:29,850 --> 00:35:39,090
1438
+ N2 25 minus 1 divided
1439
+
1440
+ 433
1441
+ 00:35:39,090 --> 00:35:49,630
1442
+ by N1 plus N2 minus 2 ุชุนูˆูŠุถ ู…ุจุงุดุฑ ูˆุงุถุญ ุงู„ุชุนูˆูŠุถ ู„ูˆ
1443
+
1444
+ 434
1445
+ 00:35:49,630 --> 00:35:58,090
1446
+ ุนู…ู„ุชูŠู‡ุง ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ 1.5021 ุฎู„ุงุตุŸ
1447
+
1448
+ 435
1449
+ 00:35:58,090 --> 00:36:04,750
1450
+ ุจุนุฏู‡ุง ุจุญุณุจ ุงู„ู€ T ุงู„ู€ T-stat ุงู„ู€ T-stat ุงู„ู‚ุงู†ูˆู† ู‡ูŠ X1
1451
+
1452
+ 436
1453
+ 00:36:04,750 --> 00:36:13,150
1454
+ bar minus X2 bar X1 bar ูƒุฏู‡ุŸ ู„ูˆ ุฑุฌุนุช ุชุงู†ูŠ 3.27
1455
+
1456
+ 437
1457
+ 00:36:15,660 --> 00:36:26,600
1458
+ -X2 bar 2.53 -MU1
1459
+
1460
+ 438
1461
+ 00:36:26,600 --> 00:36:33,440
1462
+ -MU2 ู…ุงุฐุง ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…ุŸ 0 ุฃุนู„ู‰ ู…ู† 0 ู‡ุฐุง ุงู„ูุฑู‚ ู‡ูˆ
1463
+
1464
+ 439
1465
+ 00:36:33,440 --> 00:36:41,140
1466
+ 0 ู…ู‚ูŠู… ู…ู† square root of .. ู„ุง ุชู†ุณู‰ ุฃู† ู‡ู†ุงูƒ S2B
1467
+
1468
+ 440
1469
+ 00:36:42,730 --> 00:36:52,070
1470
+ 1.5 ู‡ูŠ S2B 1 21 plus 1 over 25 ุงู„ู„ูŠ ู‡ูŠุทู„ุน ู…ุนุงูŠุง
1471
+
1472
+ 441
1473
+ 00:36:52,070 --> 00:36:58,090
1474
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู€ T statistic ุชุญุณุจูŠู‡ุง ุจุฑุงุญุชูƒ 2.05
1475
+
1476
+ 442
1477
+ 00:36:58,090 --> 00:37:06,410
1478
+ ู‡ุฐุง ุงู„ู€ value ู„ู€ T statistic ุฎู„ุงุตุŸ ู„ุฐุง step 1 ูƒุชุงุจุฉ
1479
+
1480
+ 443
1481
+ 00:37:06,410 --> 00:37:09,430
1482
+ ุงู„ู€ null ูˆ ุงู„ู€ alternative hypothesis step 2 ู†ุญู†
1483
+
1484
+ 444
1485
+ 00:37:09,430 --> 00:37:13,100
1486
+ ู†ูƒู…ู„ ู‡ุฐุง ุงู„ู€ statistic in two steps ุจุงุฑูŠุงู†ุงุช ูƒุจูŠุฑุฉ
1487
+
1488
+ 445
1489
+ 00:37:13,100 --> 00:37:19,020
1490
+ ุซู… ู‚ูŠู…ุฉ T ุซุงู†ูˆูŠุฉ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1491
+
1492
+ 446
1493
+ 00:37:19,020 --> 00:37:23,780
1494
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1495
+
1496
+ 447
1497
+ 00:37:23,780 --> 00:37:24,880
1498
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1499
+
1500
+ 448
1501
+ 00:37:24,880 --> 00:37:25,440
1502
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1503
+
1504
+ 449
1505
+ 00:37:25,440 --> 00:37:31,520
1506
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1507
+
1508
+ 450
1509
+ 00:37:31,520 --> 00:37:40,100
1510
+ ุช
1511
+
1512
+ 451
1513
+ 00:37:41,350 --> 00:37:47,590
1514
+ 5% ููŠ ุงู„ู€ alpha over 2 0 to 5 ุนุดุงู† ุชุทู„ุน ุงู„ู€
1515
+
1516
+ 452
1517
+ 00:37:47,590 --> 00:37:52,290
1518
+ critical ู‡ูŠ ุงู„ู€ alpha ููŠ ุงู„ุฃูˆู„ ุงู„ู€ DF ู…ุด ุจุชุณุงูˆูŠ in
1519
+
1520
+ 453
1521
+ 00:37:52,290 --> 00:37:58,450
1522
+ one plus in two minus two ู‡ูŠ in one ุจุชู„ุน
1523
+
1524
+ 454
1525
+ 00:37:58,450 --> 00:38:04,450
1526
+ ุฃุฑุจุน ูˆ ุฃุฑุจุนูŠู† ุฅุฐุง ุฃู†ุง ุจุฑูˆุญ ุนู„ู‰ ุงู„ู€ table ุชุจุน ุงู„ู€ T
1527
+
1528
+ 455
1529
+ 00:38:04,450 --> 00:38:13,250
1530
+ table ุงู‡ ุงู„ู€ T test ู‡ุงูŠ ุงู„ู€ T ุงู„ู€ DF ู…ุน ุงู„ู€ ..ู…ุด ุดูˆุŸ
1531
+
1532
+ 456
1533
+ 00:38:13,250 --> 00:38:18,390
1534
+ ุงู„ู€ table ุงู„ู…ุนู†ู‰ ุจูŠุนุทูŠ ู„ูŠ ุฑู‚ู… ุฏุฑุงูŠุฉ ู…ุด ู‡ูŠูƒ ูˆ my
1535
+
1536
+ 457
1537
+ 00:38:18,390 --> 00:38:21,510
1538
+ left ู†ูุณ ุงู„ุดูŠุก ุจุชูƒูˆู† ุจุณ ุจุงู„ negative ููŠ ุงู„ุฃูˆู„ we
1539
+
1540
+ 458
1541
+ 00:38:21,510 --> 00:38:25,790
1542
+ locate the degrees of freedom ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนูŠู† ู…ุด
1543
+
1544
+ 459
1545
+ 00:38:25,790 --> 00:38:28,950
1546
+ ู‡ูŠูƒ ุงู„ู€ table ู…ุงุจูŠุนุทูŠู‡ุด ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนูŠู† ู…ุงุจูŠุนุทูŠู‡
1547
+
1548
+ 460
1549
+ 00:38:28,950 --> 00:38:34,010
1550
+ ุฃุฑุจุนูŠู† ูˆ ุฎู…ุณูŠู† ููŠ ุจุนุถ ุงู„ู€ tables ุจุชุจุนุช ุฃุฑุจุนูŠู† ูˆ
1551
+
1552
+ 461
1553
+ 00:38:34,010 --> 00:38:37,200
1554
+ ูˆุงุญุฏ ูˆ ุฃุฑุจุนูŠู† ู„ุบุงูŠุฉ ุฒูŠ ู…ุง ุฃู†ุง ู…ุงุดูŠ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุจุณ
1555
+
1556
+ 462
1557
+ 00:38:37,200 --> 00:38:41,520
1558
+ ุชุจู‚ู‰ ุนู†ุฏูŠ ู…ุนุทู‰ ุฃุฑุจุนูŠู† ูˆู…ุนุทู‰ ุฎู…ุณูŠู† ุฎุฏ ุฃู‚ุฑุจ ูˆุงุญุฏุฉ
1559
+
1560
+ 463
1561
+ 00:38:41,520 --> 00:38:45,020
1562
+ ุฅู„ูŠูƒ ุจู†ุงุฎุฏู‡ุง ู„ุฃุฑุจุนูŠู† ุงู„ุฌูˆุงุจ ู‡ูŠุทู„ุน ู…ุนุงูŠุง
1563
+
1564
+ 464
1565
+ 00:38:45,020 --> 00:38:48,380
1566
+ approximate result ู…ู…ูƒู† ุงู„ูƒุชุงุจ ูŠุนุทูŠ ุงู„ู€ exact one
1567
+
1568
+ 465
1569
+ 00:38:48,380 --> 00:38:52,320
1570
+ ู…ุด ู…ุดูƒู„ุฉ ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุจูŠู†ู‡ู… ุฎุฏ ุฃุฑุจุนูŠู† ุฃูˆ ุฎู…ุณูŠู† ุฎุฏ
1571
+
1572
+ 466
1573
+ 00:38:52,320 --> 00:38:57,260
1574
+ ุฃุฑุจุนูŠู† ูˆ Alpha over two ู…ุด ู…ุชุณุงูˆูŠ ุงู„ู€ upper tail
1575
+
1576
+ 467
1577
+ 00:38:57,260 --> 00:39:03,820
1578
+ probability 0 to 5 ู…ุด ู‡ูŠูƒ ู…ุด ู‡ูŠ 5% ุนู„ู‰ ุงู„ู€ 2 0 to 5
1579
+
1580
+ 468
1581
+ 00:39:03,820 --> 00:39:06,100
1582
+ ู„ูˆ ู…ุดูŠุช ู…ุนุงูŠุง ุงู„ุฃุฑุจุนูŠู†
1583
+
1584
+ 469
1585
+ 00:39:09,150 --> 00:39:13,410
1586
+ ู…ุธุจูˆุท ู‡ูŠูƒ ูŠุนู†ูŠ 2.021 ุฅุฐุง ุงู„ู€ point ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ
1587
+
1588
+ 470
1589
+ 00:39:13,410 --> 00:39:19,350
1590
+ ุฃูƒุฑุชูƒ ู‡ูŠ 2.021 ุทุจ ู‡ุฐุง approximately ุฅุฐุง
1591
+
1592
+ 471
1593
+ 00:39:19,350 --> 00:39:22,750
1594
+ ุทู„ุนุชู‡ุง ุงู„ู€ approximate answer ุฎุฏ ุจุงู„ูƒ ุงุณุชุฎุฏุงู… ุงู„ู€
1595
+
1596
+ 472
1597
+ 00:39:22,750 --> 00:39:25,810
1598
+ table ุงู„ูŠูˆู… ุฒูŠ ู…ุง ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ู‡ูŠูƒ ู†ูุณ ุงู„ุฌุซุฉ ุจุณ
1599
+
1600
+ 473
1601
+ 00:39:25,810 --> 00:39:30,750
1602
+ ุงุฎุชู„ู ุงู„ู€ DF ุงู„ู€ DF 40 ุฃูˆ 50 ู„ุญุธุฉ ู„ูˆ ุฃุฎุฏุช ุงู„ู€ 50
1603
+
1604
+ 474
1605
+ 00:39:30,750 --> 00:39:38,250
1606
+ ุจูŠุทู„ุน 2.009 ูุงู‡ู…ุด ูƒุจูŠุฑ ู‡ูŠ ุนุงู„ุฌุงูŠุฉ ุจูŠู† ุงู„ุฅุชู†ูŠู† ุจูŠู†
1607
+
1608
+ 475
1609
+ 00:39:38,250 --> 00:39:45,450
1610
+ ุงู„ู€ 2.2009 ูˆ 2.021 ู…ุด ู‡ุชูุฑุฌ ูƒุชูŠุฑ ุจุงู„ุงุชู†ูŠู† ุงู„ุงู†
1611
+
1612
+ 476
1613
+ 00:39:45,450 --> 00:39:50,130
1614
+ ุงู„ู„ูŠ ุจุนุฏู‡ ุฃู† ุฃู†ุง ุนู…ู„ุช ุงู„ู€ location ู„ู„ู€ critical
1615
+
1616
+ 477
1617
+ 00:39:50,130 --> 00:39:55,230
1618
+ values why it is statistic ุงู„ุขู† ู†ุณุฃู„ ู†ูุณูƒ is the
1619
+
1620
+ 478
1621
+ 00:39:55,230 --> 00:40:03,100
1622
+ value ู‡ูˆ ู‚ูŠู…ุฉ ุชู‚ุน
1623
+
1624
+ 479
1625
+ 00:40:03,100 --> 00:40:07,120
1626
+ ุฌูˆุงู‡ู† ุฃูˆ ุชู‚ุน ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ ุฅุฐุง ูˆู‚ุนุช ูˆุงุญุฏุฉ ู…ู†ู‡ู…
1627
+
1628
+ 480
1629
+ 00:40:07,120 --> 00:40:11,300
1630
+ ุฎู„ุงุต ููŠู‡ reject rejection right ูˆ rejection left
1631
+
1632
+ 481
1633
+ 00:40:11,300 --> 00:40:19,730
1634
+ ูˆุงุถุญ 2.04 ุฃูƒุจุฑ ูˆู„ุง ู…ุดูƒู„ุฉ ุฃูƒุจุฑ 2.04 ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† 2
1635
+
1636
+ 482
1637
+ 00:40:19,730 --> 00:40:25,550
1638
+ .01 ุฃู†ุง ุนู†ุฏ 2.02 ู‡ู†ุง ุชู‚ุฑูŠุจุง 2.015 ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู…ุด
1639
+
1640
+ 483
1641
+ 00:40:25,550 --> 00:40:32,950
1642
+ ูƒุจูŠุฑ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุฃู†ุง ุทู„ุนุช ู‡ูŠูƒ 2.01 ุงู„ูุฑู‚ ูˆุงุถุญ
1643
+
1644
+ 484
1645
+ 00:40:32,950 --> 00:40:37,210
1646
+ ู…ุนุงู‡ู… ู…ุด ูƒุจูŠุฑ ุงู„ุฃูˆู„ ุฃูˆ ุงู„ุซุงู†ูŠ ูˆุงุถุญ ุฃู† this value
1647
+
1648
+ 485
1649
+ 00:40:37,210 --> 00:40:40,400
1650
+ ู…ูˆุฌูˆุฏุฉ ุจูŠู† ููŠ ุงู„ู€ rejection region ููŠ ุงู„ู€ rejection
1651
+
1652
+ 486
1653
+ 00:40:40,400 --> 00:40:44,480
1654
+ region ุฅุฐุง ุฅูŠุด ุงู„ู€ decisionุŸ Reject ู„ุฃู†ู‡ุง ู„ุง
1655
+
1656
+ 487
1657
+ 00:40:44,480 --> 00:40:49,600
1658
+ hypothesis ุฅุฐุง ู†ุญู† ู†ุฑูุน ุงู„ู€ zero at 5% level ุทูŠุจ
1659
+
1660
+ 488
1661
+ 00:40:49,600 --> 00:40:54,980
1662
+ ุฅูŠุด ุงู„ู€ conclusionุŸ there is sufficient evidence of
1663
+
1664
+ 489
1665
+ 00:40:54,980 --> 00:40:59,500
1666
+ difference in means ููŠู‡ุง ุฏู„ุฉ ุฏุงุนู…ุฉ ุฃู†ู‡ ููŠ ูุฑู‚
1667
+
1668
+ 490
1669
+ 00:40:59,500 --> 00:41:06,160
1670
+ ู…ุชูˆุณุทุฉ ุทูŠุจ ุงู„ูุฑู‚ ุงู„ุตุงู„ุญ ู…ูŠู†ุŸ ู„ู„ู†ุงุณ ูˆู„ุง ู„ู„ู†ุงุณ ุฏุงูƒุŸ
1671
+
1672
+ 491
1673
+ 00:41:06,160 --> 00:41:10,960
1674
+ ุงุญู†ุง ุจุฏุฃู†ุง ุจู…ูŠู†ุŸ ููŠ ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุญู„ูŠู†ุง ุจุฏูŠู†ุง ุจุงู„ุฃูˆู„ู‰
1675
+
1676
+ 492
1677
+ 00:41:10,960 --> 00:41:15,280
1678
+ ู†ู‡ุงูŠุฉ ู†ูŠุณุŒ ู…ุธุจูˆุทุŸ ุทุจ ุงู„ู€ .. ุงู„ู€ T positive ูˆู„ุง
1679
+
1680
+ 493
1681
+ 00:41:15,280 --> 00:41:23,180
1682
+ negativeุŸ positive ู…ุน ูƒุฏู‡ ูŠุงุดูŠ ุงู„ู€ ู†ูŠุณ ุฃูƒุจุฑุŒ ู…ุน ูƒุฏู‡
1683
+
1684
+ 494
1685
+ 00:41:23,180 --> 00:41:27,720
1686
+ ุงู„ู€ yield ุชุจุน ุงู„ู€ stock ุชุจุน ุงู„ู€ ู†ูŠุณ is greater ุฏู‡ ุนู†
1687
+
1688
+ 495
1689
+ 00:41:27,720 --> 00:41:30,920
1690
+ ุงู„ู†ุงุณ ุฏู‡ุŒ ู„ุฃู† ุงู„ู€ T is positiveุŒ ู„ูˆ ูƒุงู†ุช negative
1691
+
1692
+ 496
1693
+ 00:41:30,920 --> 00:41:36,260
1694
+ ูŠูƒูˆู† ุงู„ุนูƒุณ ููŠ ู‡ุฐู‡ ุงู„ู…ุซู„ุฉุŒ ุงู„ู†ุชูŠุฌุฉ ูƒุงู†ุช ุชุงู„ูŠุฉุŒ ุจู…ุง
1695
+
1696
+ 497
1697
+ 00:41:36,260 --> 00:41:39,080
1698
+ ุฃู† ู‚ูŠู…ุฉ ุงู„ุงู†ุชุฌุงุฑุงุช ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉุŒ
1699
+
1700
+ 498
1701
+ 00:41:39,080 --> 00:41:41,280
1702
+ ุซู… ู†ู†ูุฐ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1703
+
1704
+ 499
1705
+ 00:41:41,280 --> 00:41:43,160
1706
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ูŠูˆุฌุฏ ูˆุซู‚ุงูุฉ
1707
+
1708
+ 500
1709
+ 00:41:43,160 --> 00:41:46,640
1710
+ ูƒุงููŠุฉ ููŠ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1711
+
1712
+ 501
1713
+ 00:41:46,640 --> 00:41:46,680
1714
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑ๏ฟฝ๏ฟฝุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1715
+
1716
+ 502
1717
+ 00:41:46,680 --> 00:41:47,380
1718
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1719
+
1720
+ 503
1721
+ 00:41:47,380 --> 00:41:53,900
1722
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1723
+
1724
+ 504
1725
+ 00:41:53,900 --> 00:41:57,700
1726
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1727
+
1728
+ 505
1729
+ 00:41:57,700 --> 00:42:00,900
1730
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑ
1731
+
1732
+ 506
1733
+ 00:42:01,970 --> 00:42:06,750
1734
+ ูˆ ุจุนุฏู‡ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ decision ุฃู† ู‡ูˆ reject ูˆ ุงู„ู€
1735
+
1736
+ 507
1737
+ 00:42:06,750 --> 00:42:12,190
1738
+ conclusion ุฃู† ููŠู‡ ูุฑู‚ ุฃูˆ ู…ุงููŠุดุŒ ููŠ ุฃูŠ ุณุคุงู„ุŸ ู„ุฃ ู„ุฃ
1739
+
1740
+ 508
1741
+ 00:42:12,190 --> 00:42:14,970
1742
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
1743
+
1744
+ 509
1745
+ 00:42:14,970 --> 00:42:15,070
1746
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
1747
+
1748
+ 510
1749
+ 00:42:15,070 --> 00:42:16,190
1750
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
1751
+
1752
+ 511
1753
+ 00:42:16,190 --> 00:42:17,250
1754
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
1755
+
1756
+ 512
1757
+ 00:42:17,250 --> 00:42:25,050
1758
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/V-6Z74GYdis_postprocess.srt ADDED
@@ -0,0 +1,2048 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:33,370
3
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ููŠ chapter ุนุดุฑุฉ ุฎู„ู‘ูŠู†ูŠ
4
+
5
+ 2
6
+ 00:00:33,370 --> 00:00:38,070
7
+ ุฃุจุฏุฃ ููŠ chapter ุชุณุนุฉ ุงู„ู„ูŠ ุฎู„ุตู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ูƒุงู†
8
+
9
+ 3
10
+ 00:00:38,070 --> 00:00:42,170
11
+ ุงู„ู…ูˆุถูˆุน ุจุงุชูƒู„ู… ุนู„ู‰ one sample test ู…ุด ู‡ูŠูƒ ูƒุงู† ุนูŠู†ุฉ
12
+
13
+ 4
14
+ 00:00:42,170 --> 00:00:46,410
15
+ ูˆุงุญุฏุฉ ุจุณ ุงุชู„ู‚ู†ุง ุนู„ู‰ ุงู„ hypothesis testing for one
16
+
17
+ 5
18
+ 00:00:47,350 --> 00:00:51,290
19
+ population mean ูˆ one population proportion ุงู„ู„ูŠ
20
+
21
+ 6
22
+ 00:00:51,290 --> 00:00:56,470
23
+ ู‡ู†ุนู…ู„ ููŠ chapter 10 ู‡ู†ุนู…ู„ extension ุจุฏู„ one sample
24
+
25
+ 7
26
+ 00:00:56,470 --> 00:01:01,310
27
+ test ู‡ู†ุงุฎุฏ two sample test ูˆ ู…ุฑุฉ ู‡ุชูƒูˆู† ุงู„
28
+
29
+ 8
30
+ 00:01:01,310 --> 00:01:05,230
31
+ difference between two population proportionsูˆ ู…ุฑุฉ
32
+
33
+ 9
34
+ 00:01:05,230 --> 00:01:08,190
35
+ ู„ู„ difference between two population means ูŠุนู†ูŠ
36
+
37
+ 10
38
+ 00:01:08,190 --> 00:01:12,850
39
+ ู†ูุณ ุงู„ู‚ุตุฉ ุงู„ู„ู‰ ูุงุชุช ุจุฏู„ mean ูˆุงุญุฏ ู‡ู†ุงุฎุฏ difference
40
+
41
+ 11
42
+ 00:01:12,850 --> 00:01:16,330
43
+ between two means ูˆ ุจุฏู„ one proportion ู‡ู†ุงุฎุฏ
44
+
45
+ 12
46
+ 00:01:16,330 --> 00:01:20,890
47
+ difference between two proportions ุงู„ one way and
48
+
49
+ 13
50
+ 00:01:20,890 --> 00:01:24,990
51
+ over ู‡ู†ุนู…ู„ skip ู„ู‡ู… ูŠุนู†ูŠ ู…ุด ู‡ุดุฑุญ ุงู„ one way and
52
+
53
+ 14
54
+ 00:01:24,990 --> 00:01:28,570
55
+ over ุงุฐุง ููŠ chapter 10 we just talk about two
56
+
57
+ 15
58
+ 00:01:28,570 --> 00:01:29,390
59
+ sample test
60
+
61
+ 16
62
+ 00:01:41,740 --> 00:01:49,740
63
+ ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ูŠูˆุฌุฏ ุฎุงุตุฉ ุซู„ุงุซุฉ ู…ู‡ุชู…ูŠู† ูŠุฑูƒุฒูˆู† ุนู„ู‰
64
+
65
+ 17
66
+ 00:01:49,740 --> 00:01:56,460
67
+ ูƒูŠููŠุฉ ุงุณุชุฎุฏุงู… ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุฒ ู„ุชู‚ุงุฑูŠุฑ ุงู„ูุฑู‚ ุจูŠู†
68
+
69
+ 18
70
+ 00:02:12,910 --> 00:02:20,290
71
+ ุฑู‚ู… ูˆุงุญุฏ ุงู„ means ุงู„ู„ุญุธุฉ ูƒู„ู‡ means ุฏูŠ ู‡ุฏูˆู„ ุจุณ ู…ุฑุฉ
72
+
73
+ 19
74
+ 00:02:20,290 --> 00:02:26,830
75
+ of two independent populations is a means of
76
+
77
+ 20
78
+ 00:02:26,830 --> 00:02:31,190
79
+ two independent populations
80
+
81
+ 21
82
+ 00:02:37,050 --> 00:02:39,390
83
+ ูˆุงู„ุญุฏ ุงู„ุชุงู†ูŠ is the difference between the means
84
+
85
+ 22
86
+ 00:02:39,390 --> 00:02:42,970
87
+ of two related populationsุŒ ู‡ุฏูˆู„ ุดุบู„ุชูŠู† ู…ุฎุชู„ูุชูŠู†ุŒ
88
+
89
+ 23
90
+ 00:02:42,970 --> 00:02:48,070
91
+ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู†ุฑูƒุฒ ุนู„ู‰ ุฌุฒุก ู…ู† ุงู„ุงุฎุชู„ุงู ุจูŠู†
92
+
93
+ 24
94
+ 00:02:48,070 --> 00:02:52,110
95
+ means of two independent populations and next time
96
+
97
+ 25
98
+ 00:02:52,110 --> 00:02:56,090
99
+ we shall continue for the two related populations.
100
+
101
+ 26
102
+ 00:02:56,770 --> 00:03:02,090
103
+ In addition, so we have two independent and two
104
+
105
+ 27
106
+ 00:03:02,090 --> 00:03:04,330
107
+ related populations.
108
+
109
+ 28
110
+ 00:03:07,360 --> 00:03:11,620
111
+ ุงู„ุฑู‚ู… ุซุงู„ุซ ูŠุชุญุฏุซ ุนู† ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
112
+
113
+ 29
114
+ 00:03:11,620 --> 00:03:14,880
115
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
116
+
117
+ 30
118
+ 00:03:14,880 --> 00:03:20,300
119
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
120
+
121
+ 31
122
+ 00:03:20,300 --> 00:03:22,720
123
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
124
+
125
+ 32
126
+ 00:03:22,720 --> 00:03:24,100
127
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
128
+
129
+ 33
130
+ 00:03:24,100 --> 00:03:26,020
131
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
132
+
133
+ 34
134
+ 00:03:26,020 --> 00:03:35,120
135
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุง
136
+
137
+ 35
138
+ 00:03:35,490 --> 00:03:37,630
139
+ ุฃูˆ ุจูŠู† ู…ุตุงุฏุฑ ุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
140
+
141
+ 36
142
+ 00:03:37,630 --> 00:03:40,790
143
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
144
+
145
+ 37
146
+ 00:03:40,790 --> 00:03:41,470
147
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
148
+
149
+ 38
150
+ 00:03:41,470 --> 00:03:44,350
151
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
152
+
153
+ 39
154
+ 00:03:44,350 --> 00:03:46,550
155
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
156
+
157
+ 40
158
+ 00:03:46,550 --> 00:03:47,990
159
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
160
+
161
+ 41
162
+ 00:03:47,990 --> 00:03:49,430
163
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
164
+
165
+ 42
166
+ 00:03:49,430 --> 00:03:50,910
167
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
168
+
169
+ 43
170
+ 00:03:50,910 --> 00:04:03,790
171
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
172
+
173
+ 44
174
+ 00:04:03,790 --> 00:04:09,820
175
+ ุงู„ู…ุฑุชููŠ ุนู†ุฏูŠ population means ู‡ู†ุงุฎุฏ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰
176
+
177
+ 45
178
+ 00:04:09,820 --> 00:04:15,520
179
+ independent samples ุฅูŠุด ูŠุนู†ูŠ independent samplesุŸ
180
+
181
+ 46
182
+ 00:04:15,520 --> 00:04:20,460
183
+ ุนูŠู†ุงุช ู…ุณุชู‚ู„ุฉ ุฒูŠ ู…ุซู„ุง males ูˆ females ู‡ุฐูˆ ุนูŠู†ุงุช
184
+
185
+ 47
186
+ 00:04:20,460 --> 00:04:26,700
187
+ ู…ุณุชู‚ู„ุฉ ู…ู…ูƒู† ู†ุญูƒูŠ ู…ุซู„ุง public school ูˆ private
188
+
189
+ 48
190
+ 00:04:26,700 --> 00:04:32,760
191
+ schools ู‡ุฐูˆ two independentู…ู…ูƒู† ู†ุญูƒูŠ ู…ุซู„ุง Stock A
192
+
193
+ 49
194
+ 00:04:32,760 --> 00:04:38,140
195
+ ูˆ Stock B two independent populations in this case
196
+
197
+ 50
198
+ 00:04:38,140 --> 00:04:41,320
199
+ we are talking about group one versus group two as
200
+
201
+ 51
202
+ 00:04:41,320 --> 00:04:44,640
203
+ I mentioned either males females Stock A Stock B
204
+
205
+ 52
206
+ 00:04:44,640 --> 00:04:48,980
207
+ and so on the second case for the two sample tests
208
+
209
+ 53
210
+ 00:04:48,980 --> 00:04:53,560
211
+ population means related samples related ู…ุนู†ุงู‡ุง
212
+
213
+ 54
214
+ 00:04:53,560 --> 00:04:59,500
215
+ ุจุชูƒู„ู… ุนู„ู‰ ุดุบู„ุฉ semi-groupbefore versus after
216
+
217
+ 55
218
+ 00:04:59,500 --> 00:05:03,120
219
+ treatment ู‚ุจู„ ูˆ ุจุนุฏ ูŠุนู†ูŠ ู…ุซู„ุง ุจุชุชูƒู„ู… ุนู† ุงู„ product
220
+
221
+ 56
222
+ 00:05:03,120 --> 00:05:06,420
223
+ before using a new machine and after using a new
224
+
225
+ 57
226
+ 00:05:06,420 --> 00:05:10,320
227
+ machine ูƒุชูŠุฑ ููŠ ุฃุญูŠุงู† ุงู„ุฅู†ุชุงุฌ ุจุชุฃุซุฑ ุจุงู„ machine ู…ุด
228
+
229
+ 58
230
+ 00:05:10,320 --> 00:05:13,740
231
+ ู‡ูŠูƒ ุจุงู„ุขู„ุฉ ุงู„ู„ู‰ ู…ุณุชุฎุฏู…ุฉ ูุจุดูˆู ุงู„ุฅู†ุชุงุฌ before using
232
+
233
+ 59
234
+ 00:05:13,740 --> 00:05:17,040
235
+ a new machine and after using a new machine ู‡ุฐุง
236
+
237
+ 60
238
+ 00:05:17,040 --> 00:05:23,020
239
+ ุจูŠุณู…ูŠู‡ู… related ุฃูˆ ุจูŠุณู…ูˆู† ุจูŠุฑุฏ ุงู„ samples case
240
+
241
+ 61
242
+ 00:05:23,020 --> 00:05:27,780
243
+ number three populationู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
244
+
245
+ 62
246
+ 00:05:27,780 --> 00:05:32,460
247
+ ู†ุญู† ู†ุชูƒู„ู… ุนู† ู…ู‚ุงุฑู†ุฉ ูˆุงุญุฏุฉ ุถุฏ ู…ู‚ุงุฑู†ุฉ ุงุซู†ุงู† ู‡ุฐุง ูŠุนู†ูŠ
248
+
249
+ 63
250
+ 00:05:32,460 --> 00:05:37,020
251
+ ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† ู…ุฌุชู…ุนูŠู† ู…ุณุชู‚ู„ูŠู† ู„ุฐู„ูƒ ู‡ู†ุงูƒ ุงุชุฌุงุฑุงุช ุงูˆ
252
+
253
+ 64
254
+ 00:05:37,020 --> 00:05:42,720
255
+ ู…ุฌุชู…ุนูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
256
+
257
+ 65
258
+ 00:05:42,720 --> 00:05:44,380
259
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
260
+
261
+ 66
262
+ 00:05:44,380 --> 00:05:44,740
263
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
264
+
265
+ 67
266
+ 00:05:44,740 --> 00:05:47,780
267
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
268
+
269
+ 68
270
+ 00:05:47,780 --> 00:05:51,600
271
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
272
+
273
+ 69
274
+ 00:05:51,600 --> 00:05:58,390
275
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ุนุงู„ means ุจุณ ุชุชูƒู„ู… ุนู† population
276
+
277
+ 70
278
+ 00:05:58,390 --> 00:06:02,890
279
+ means ูˆุงุฎุฏู†ุง ุฌุฒุก ุงู„ู„ูŠ ู‡ูˆ mean ุงู„ independent ุงุฐุง
280
+
281
+ 71
282
+ 00:06:02,890 --> 00:06:06,890
283
+ ุงู†ุง ุฏูŠ ุงูˆู„ ุดูŠุก
284
+
285
+ 72
286
+ 00:06:06,890 --> 00:06:13,010
287
+ ุงุฐุง
288
+
289
+ 73
290
+ 00:06:13,010 --> 00:06:17,250
291
+ ู…ุง ุงุชูƒู„ู… ุนู„ู‰ ุญูƒูŠู†ุง ุงู„ุดุจุท ุงู†ุง ุจุชุชูƒู„ู… ุนู„ู‰ ุฌุฒุฆูŠู†
292
+
293
+ 74
294
+ 00:06:17,250 --> 00:06:22,630
295
+ means ูˆ proportions ู‡ุจุฏุฃ ููŠ ุงู„ means ููŠ ุงู„ means ูˆ
296
+
297
+ 75
298
+ 00:06:22,630 --> 00:06:24,790
299
+ ููŠ ุงู„ means ููŠ ุฌุฒุฆูŠู† ุงูŠ population
300
+
301
+ 76
302
+ 00:06:29,310 --> 00:06:33,230
303
+ means ุฒูŠ ู…ุง ุงุญูƒูŠู„ู‡ุง ููŠ ุงู„ scheme ุงู„ู„ู‰ ูุงุชุช ูƒุงู† ููŠ
304
+
305
+ 77
306
+ 00:06:33,230 --> 00:06:36,730
307
+ ุนู†ุฏู‡ ุงุชู†ูŠู† population means ู‡ุงูŠ ูŠูˆู… ุงู„ุงุชู†ูŠู† ูˆุงุญุฏุฉ
308
+
309
+ 78
310
+ 00:06:36,730 --> 00:06:41,350
311
+ independent ูˆุงู„ุชุงู†ูŠุฉ related ู‡ุจุฏุฃ ุงู„ู„ู‰ ุงู†ุง ุนู„ู‰ ุทูˆู„
312
+
313
+ 79
314
+ 00:06:41,350 --> 00:06:45,230
315
+ ููŠ ู…ูŠู† ู‡ูŠ ุงู„ star ุงู„ star ุจุนุฏ ูƒุฏู‡ ุงู† ุงู†ุง ู…ูˆุฌูˆุฏ ููŠ
316
+
317
+ 80
318
+ 00:06:45,230 --> 00:06:48,770
319
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงุชูƒู„ู… ุนู† ุงู„ independent sentence ุงุฐุง
320
+
321
+ 81
322
+ 00:06:48,770 --> 00:06:53,710
323
+ case ูˆุงุญุฏ ู‡ูŠ case ูˆุงุญุฏ ููŠู‡ุง independent
324
+
325
+ 82
326
+ 00:07:02,760 --> 00:07:08,820
327
+ ุงู„ู‡ุฏู ููŠ ู‡ุฐุง ุงู„ุญุงู„ุฉ test hypothesis for confidence
328
+
329
+ 83
330
+ 00:07:08,820 --> 00:07:13,440
331
+ interval ุงุญู†ุง ุจุงู„ู†ุณุจุงู„ู†ุง ุจุฑุถู‡ ู‡ู†ุนู…ู„ skip ู„ู„
332
+
333
+ 84
334
+ 00:07:13,440 --> 00:07:16,440
335
+ confidence interval ู‡ุฐุง ู…ุด ุฑุงุญ ู†ุนุฑูู‡ ููŠ ุงู„ chapter
336
+
337
+ 85
338
+ 00:07:16,440 --> 00:07:21,380
339
+ ู‚ุจู„ู‡ุง ุงุฐุง ู‡ู†ุงุฎุฏ test hypothesis for the difference
340
+
341
+ 86
342
+ 00:07:21,380 --> 00:07:23,040
343
+ between two population means
344
+
345
+ 87
346
+ 00:07:25,770 --> 00:07:32,750
347
+ ุฅุฐุง ูƒู„ ุงู„ุดุบู„ ู‡ูŠูƒูˆู† ุงู„ู€ hypothesis for
348
+
349
+ 88
350
+ 00:07:32,750 --> 00:07:38,590
351
+ the difference between two vibrations ู…ูŠ ูˆุงู† minus
352
+
353
+ 89
354
+ 00:07:38,590 --> 00:07:44,290
355
+ ู…ูŠ ุชูˆู† ุงู„ point estimate of this difference
356
+
357
+ 90
358
+ 00:07:44,290 --> 00:07:49,410
359
+ ุงู„ุชู‚ุฏูŠุฑ ู„ู‡ ุนุจุงุฑุฉ ุนู† x one bar minus x one bar ุฅุฐุง
360
+
361
+ 91
362
+ 00:07:49,410 --> 00:07:51,670
363
+ ุฃูˆู„ ุดุนุฑ ุฃุฑูŠุฏ ุฃู† ุฃุนุฑูู‡ ุฃู† ู‡ูˆ point estimate
364
+
365
+ 92
366
+ 00:07:54,340 --> 00:07:57,320
367
+ ุฎู„ุงุต ู„ูƒ ุงู„ point estimate ู„ ุงู„ ู…ูŠูˆ ุฅูŠุด ูƒุงู†ุช ุจุชุณุงูˆูŠ
368
+
369
+ 93
370
+ 00:07:57,320 --> 00:08:03,400
371
+ ุงูƒุณุจุงุฑ ู…ุธุจูˆุท ู‡ุฐุง ู„ ุงู„ mean ู„ ุงู„ one population
372
+
373
+ 94
374
+ 00:08:03,400 --> 00:08:06,300
375
+ mean ุทุจ ู„ูˆ ุนู†ุฏูƒ two population means ูˆุนุงูŠุฒ ุงู„
376
+
377
+ 95
378
+ 00:08:06,300 --> 00:08:09,880
379
+ point estimate
380
+
381
+ 96
382
+ 00:08:09,880 --> 00:08:18,400
383
+ of ู…ูŠูˆ ูˆุงุญุฏ minus ู…ูŠูˆ ุงุชูˆุงู„ู„ู…ูŠูˆ ุจุณ X bar ู„ูˆ ูƒู†ุง
384
+
385
+ 97
386
+ 00:08:18,400 --> 00:08:21,580
387
+ ุนู†ุฏู†ุง ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠูˆ ุงุชูˆุง ุงูŠุด ู‡ุชูƒูˆู† X bar one
388
+
389
+ 98
390
+ 00:08:21,580 --> 00:08:25,740
391
+ minus X two bar ู‡ุชูƒูˆู† X one bar minus X two bar ุทุจ
392
+
393
+ 99
394
+ 00:08:25,740 --> 00:08:29,000
395
+ ู„ูˆ ุนุงูŠุฒ ุงู„ point estimate ู„ู…ูŠูˆ ุงุชูˆุง minus ู…ูŠูˆ ุงุชูˆุง
396
+
397
+ 100
398
+ 00:08:29,000 --> 00:08:34,240
399
+ X two
400
+
401
+ 101
402
+ 00:08:34,240 --> 00:08:37,700
403
+ bar minus X two bar ูˆุงุถุญุŸ ุงุฐุง ุงู„ point estimate ุงู„
404
+
405
+ 102
406
+ 00:08:37,700 --> 00:08:39,660
407
+ difference between the two population means ู…ูŠูˆ
408
+
409
+ 103
410
+ 00:08:39,660 --> 00:08:42,700
411
+ ุงุชูˆุง minus ู…ูŠูˆ ุงุชูˆุง equals X one bar minus X two
412
+
413
+ 104
414
+ 00:08:42,700 --> 00:08:51,430
415
+ bar ู„ูˆ ุนูƒุณุชู‡ู… ุจุณ ..ุจุตูŠุฑ ุงู„ุนูƒุณ X2-X1-X2-X2-X1-X2-X2
416
+
417
+ 105
418
+ 00:08:51,430 --> 00:08:53,950
419
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
420
+
421
+ 106
422
+ 00:08:53,950 --> 00:08:55,150
423
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
424
+
425
+ 107
426
+ 00:08:55,150 --> 00:08:59,210
427
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
428
+
429
+ 108
430
+ 00:08:59,210 --> 00:09:03,230
431
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
432
+
433
+ 109
434
+ 00:09:03,230 --> 00:09:13,410
435
+ -X2-X2
436
+
437
+ 110
438
+ 00:09:13,410 --> 00:09:17,610
439
+ -X2ุชูƒูˆู† ููŠ ุนู†ุฏูƒ two groups I mean two different
440
+
441
+ 111
442
+ 00:09:17,610 --> 00:09:22,350
443
+ groups these groups are unrelated ู„ุฅู† ุจุญูƒูŠ ู…ุซู„ุง
444
+
445
+ 112
446
+ 00:09:22,350 --> 00:09:29,730
447
+ ุจุฏุฑุณ females ูˆ males ู…ุด ู…ุญุชูŠู† ู…ุง ู„ู‡ู…ู…ุฎุชู„ูุชูŠู† ู‡ุฐูŠู†
448
+
449
+ 113
450
+ 00:09:29,730 --> 00:09:32,930
451
+ ุจูŠุณู…ูŠู‡ู… unrelated ุงูˆ independent ุทุงู„ู…ุง ุงู„
452
+
453
+ 114
454
+ 00:09:32,930 --> 00:09:35,730
455
+ individuals are not the same ู…ุนู†ุงู‡ ุงู†ู‡ู…
456
+
457
+ 115
458
+ 00:09:35,730 --> 00:09:38,350
459
+ independent ูŠุนู†ูŠ ุงู„ุฃุดุฎุงุต ู…ุด ุฒูŠ ุจุนุถ ุจูŠุณู…ูŠู‡ู…
460
+
461
+ 116
462
+ 00:09:38,350 --> 00:09:42,550
463
+ independent is an
464
+
465
+ 117
466
+ 00:09:42,550 --> 00:09:46,630
467
+ unrelated independentู…ุนู†ุงู‡ ุงู„ู€ sample selected
468
+
469
+ 118
470
+ 00:09:46,630 --> 00:09:50,650
471
+ from one population has no effect on the sample
472
+
473
+ 119
474
+ 00:09:50,650 --> 00:09:53,210
475
+ selected from the other population ูŠุนู†ูŠ ุงู„ุนูŠู„ุฉ
476
+
477
+ 120
478
+ 00:09:53,210 --> 00:09:56,370
479
+ ุจุฎุชุงุฑ ู…ู† ุงู„ population ุฃูŠู‡ุŸ ุจุชุฃุซุฑุด ุนู„ู‰ ุงู„
480
+
481
+ 121
482
+ 00:09:56,370 --> 00:09:58,330
483
+ population ุงู„ู„ูŠ ุงู„ุนูŠู„ุฉ ุจุงุฎุฏู‡ ู…ู† ุงู„ population
484
+
485
+ 122
486
+ 00:09:58,330 --> 00:10:02,130
487
+ ุงู„ุชุงู†ูŠ ู„ู…ุง ุฃุฎุฏ ู…ุซู„ุง ุชู„ุงุชูŠู† ุทุงู„ุจุฉ ุงุฎุชูŠุงุฑ ุฃูŠู‡ ู„ู‡ู…ุŸ
488
+
489
+ 123
490
+ 00:10:02,130 --> 00:10:05,630
491
+ ุจูŠุฃุซุฑุด ุนู„ู‰ ุงุฎุชูŠุงุฑ ู…ุซู„ุง ู„ุชู„ุงุชูŠู† ุฃูˆ ู„ุนุดุฑูŠู† ุทุงู„ุจุฉ
492
+
493
+ 124
494
+ 00:10:05,630 --> 00:10:10,070
495
+ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุดุฎุต ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ ู…ุด ู†ูุณู‡ ูุจุณู…ูŠู‡ู…
496
+
497
+ 125
498
+ 00:10:10,070 --> 00:10:19,420
499
+ independentููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุงูˆ ุงูˆ ุงูˆ ุงูˆ
500
+
501
+ 126
502
+ 00:10:19,420 --> 00:10:25,380
503
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
504
+
505
+ 127
506
+ 00:10:25,380 --> 00:10:26,280
507
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
508
+
509
+ 128
510
+ 00:10:26,280 --> 00:10:26,960
511
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
512
+
513
+ 129
514
+ 00:10:26,960 --> 00:10:31,440
515
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
516
+
517
+ 130
518
+ 00:10:37,220 --> 00:10:39,240
519
+ ูˆุงุญุฏ ู…ู† ุงู„ุญุงู„ุงุช ูƒุงู†ุช ุณูŠุฌู…ุง ู…ุนุฑูˆูุฉ ูˆุงู„ุขุฎุฑ ู…ุนุฑูˆูุฉ
520
+
521
+ 131
522
+ 00:10:39,240 --> 00:10:43,420
523
+ ุณูŠุฌู…ุง ุบูŠุฑ ู…ุนุฑูˆูุฉ ููŠ ู‡ุฐุง ุงู„ุญู„ู‚ู‡ ุณู†ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ุณูŠุฌู…ุง
524
+
525
+ 132
526
+ 00:10:43,420 --> 00:10:46,920
527
+ ุบูŠุฑ ู…ุนุฑูˆููŠู† ุณูŠุฌู…ุง ูˆุงุญุฏ ูˆุณูŠุฌู…ุง ุงุซู†ุงู† ุบูŠุฑ ู…ุนุฑูˆููŠู†
528
+
529
+ 133
530
+ 00:10:46,920 --> 00:10:50,140
531
+ ูˆู„ูƒู† ุจุนุถ ุงู„ุฃุญูŠุงู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ูˆุงุญุฏ
532
+
533
+ 134
534
+ 00:10:50,140 --> 00:10:52,920
535
+ ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ุงุซู†ุงู† ูˆุงู„ุซุงู†ูˆูŠุฉ ุงู„ู…ุนุฑูˆูุฉ ุงู†ู‡ู…
536
+
537
+ 135
538
+ 00:10:52,920 --> 00:10:59,940
539
+ ู…ุชุณุงูˆูŠูŠู† ูˆู„ูƒู† ู„ูŠุณูˆุง ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง
540
+
541
+ 136
542
+ 00:10:59,940 --> 00:11:06,960
543
+ ูˆุงุญุฏ ู„ูŠุณ ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุงู‡ู†ุงุฎุฏ ุญุงู„ุชูŠู† ุฒูŠ ู…ุง ุฎุฏู†ุง ู„ูƒ
544
+
545
+ 137
546
+ 00:11:06,960 --> 00:11:10,200
547
+ ุญุงู„ุชูŠู† sigma known ูˆ unknown ู‡ู†ุง ู‡ู†ุงุฎุฏ ููŠ ุงู„ุญุงู„ุชูŠู†
548
+
549
+ 138
550
+ 00:11:10,200 --> 00:11:14,200
551
+ they are unknown ุจุณ ู…ุฑุฉ we assume they are equal ูˆ
552
+
553
+ 139
554
+ 00:11:14,200 --> 00:11:18,400
555
+ ู…ุฑุฉ ุชุงู†ูŠุฉ they are not equal ุงู„ู„ูŠ ู‡ุจุฏุฃ ููŠ ุงู„ูŠูˆู…
556
+
557
+ 140
558
+ 00:11:18,400 --> 00:11:22,160
559
+ equal ุงู„ู„ูŠ ู‡ูŠ ุงู„ equal ู„ุญุธุฉ ุฅู† ุงู„ู…ูˆุถูˆุน ุตุงุฑ ุนู†ุฏูŠ
560
+
561
+ 141
562
+ 00:11:22,160 --> 00:11:27,680
563
+ ู…ุชุดุงุนุฑ ุงู„ chapter ูƒู„ู‡ ู…ู† ู‚ุณู… ู‚ุณู…ูŠู† means ูˆ
564
+
565
+ 142
566
+ 00:11:27,680 --> 00:11:33,170
567
+ proportions ู…ุชูˆุณุท ูˆ ู†ุณุจู‡ุฐุง ููŠ ุงู„ู…ุชูˆุณุทุงุช population
568
+
569
+ 143
570
+ 00:11:33,170 --> 00:11:37,230
571
+ means ุงู„ population means ุจุฑุถู‡ ุฅูŠู‡ุŸ independent ูˆ
572
+
573
+ 144
574
+ 00:11:37,230 --> 00:11:41,030
575
+ related ุฅูŠู‡ ู„ูˆ .. ุงู‡ ุชู†ุชูŠู† independent ูˆ related
576
+
577
+ 145
578
+ 00:11:41,030 --> 00:11:46,010
579
+ ูƒูˆูŠุณ ุฃู†ุง ู‡ุงุฎุฏ ู…ูŠู† ุงู„ independent ุงู„ independent
580
+
581
+ 146
582
+ 00:11:46,010 --> 00:11:51,090
583
+ ู‡ุชุงู†ูŠ ู†ูˆุนูŠู† sigma equal ูˆ ู…ุด equal ุญุฏ ุชุนูŠุฏ ุงู„ูƒู„ุงู…
584
+
585
+ 147
586
+ 00:11:51,090 --> 00:11:55,370
587
+ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ ูˆุงุญุฏ ู‡ุช๏ฟฝ๏ฟฝูŠุฏู„ูŠู‡ ูŠุนู†ูŠ ุงู„ุดุงุจุท ุงู„ู„ูŠ
588
+
589
+ 148
590
+ 00:11:55,370 --> 00:12:00,900
591
+ ู‡ุชุงุฎุฏู„ูŠู‡ ููŠ ุงู„ูƒู„ู…ุชูŠู† ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ู…ู‡ูˆ ุงู„ู€
592
+
593
+ 149
594
+ 00:12:00,900 --> 00:12:03,340
595
+ proportion ูˆ ุงู„ู€ means ุงุญู†ุง ู‡ู†ุฑูƒุฒ ุนู„ู‰ ุงู„
596
+
597
+ 150
598
+ 00:12:03,340 --> 00:12:06,940
599
+ population means ู‡ู„ุฃ ููŠ ุงู„ population means ู‡ู†ููŠู‡
600
+
601
+ 151
602
+ 00:12:06,940 --> 00:12:09,880
603
+ ู‚ุณู…ูŠู† ู‡ูˆ independent samples ูˆ related samples
604
+
605
+ 152
606
+ 00:12:09,880 --> 00:12:14,480
607
+ ุญุงู„ูŠุงุช ุงุญู†ุง ู‡ู†ุจุฏุฃ ุจุงู„ independent samples ููŠู‡ุง
608
+
609
+ 153
610
+ 00:12:14,480 --> 00:12:17,900
611
+ ู‚ุณู…ูŠู† ุทุจุนุง ุจูŠูƒูˆู† ุฏุงูŠู…ุง sigma unknown ุจุณ ู…ู…ูƒู† ุชูƒูˆู†
612
+
613
+ 154
614
+ 00:12:17,900 --> 00:12:21,440
615
+ sigma one equal sigma two ุงูˆ not equal ู‡ู†ุจุฏุฃ ุจุงู„
616
+
617
+ 155
618
+ 00:12:21,440 --> 00:12:25,000
619
+ equal ู…ู…ุชุงุฒ ุงุฐุง ู‡ู†ู‚ู„ู‡ุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุงุฎุฑู‰ ุงู„ chapter
620
+
621
+ 156
622
+ 00:12:25,000 --> 00:12:28,000
623
+ has two partspopulation means population
624
+
625
+ 157
626
+ 00:12:28,000 --> 00:12:31,500
627
+ proportions ุญุจุฏุง ูู‰ ุงู„ population means ุงู„
628
+
629
+ 158
630
+ 00:12:31,500 --> 00:12:34,720
631
+ population means ุนู†ุฏู‡ ู†ูˆุนูŠู† ุงู…ุง independent
632
+
633
+ 159
634
+ 00:12:34,720 --> 00:12:38,780
635
+ samples ุงูˆ related ู‡ู„ุงุฎุฏ ุงู„ independent ุงู„
636
+
637
+ 160
638
+ 00:12:38,780 --> 00:12:42,460
639
+ independent ูู‰ two cases sigma is always assumed
640
+
641
+ 161
642
+ 00:12:42,460 --> 00:12:45,840
643
+ to be unknown but sometimes they are equal and
644
+
645
+ 162
646
+ 00:12:45,840 --> 00:12:50,750
647
+ other maybe they are not equalุฎู„ุงุต ู†ุจุฏุฃ ู„ุงู† ู„ุญุธุฉ
648
+
649
+ 163
650
+ 00:12:50,750 --> 00:12:54,150
651
+ ู„ุงู† ุงู„ุตุงุฑุด ุตุงุฑุช population means independent
652
+
653
+ 164
654
+ 00:12:54,150 --> 00:12:59,170
655
+ samples ู‡ุฐุง ู…ุง ุงุชูƒู„ู…ุด ุนู„ูŠู‡ ู„ุณู‡ ู…ุงุญูƒูŠู†ุงุด ุนู„ูŠู‡ ุฎู„ุตุช
656
+
657
+ 165
658
+ 00:12:59,170 --> 00:13:03,710
659
+ ู‡ูŠูƒ ู†ูƒู…ู„ ุงู„ุตุงุฑุฉ ุงู„ุตุงุฑุฉ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงู„ุตุงุฑุฉ ุนู†ุฏูŠ ูƒุงู†ุช
660
+
661
+ 166
662
+ 00:13:03,710 --> 00:13:08,210
663
+ ุชุงู„ูŠุฉ ุจุฏุฃุช ู…ู† population means independent samples
664
+
665
+ 167
666
+ 00:13:08,210 --> 00:13:12,750
667
+ ูˆุงุถุญ ู‡ูŠูƒ ู†ุชุทู„ุน
668
+
669
+ 168
670
+ 00:13:12,750 --> 00:13:17,530
671
+ ุนู„ู‰ ุงู„ ..H0 ูˆH1 ููŠ ุงู„ุฐุงูƒุฑุฉ ูƒู†ุง ู†ุญูƒูŠ ุนู† ุงู„ู€ two
672
+
673
+ 169
674
+ 00:13:17,530 --> 00:13:22,210
675
+ tail ูˆ ุงู„ one tail either upper tail or lower tail
676
+
677
+ 170
678
+ 00:13:22,210 --> 00:13:25,790
679
+ ู„ู†ุจุฏุฃ ููŠ ุงู„ two tail ู†ุจุฏุฃ ููŠ ุงู„ two tail
680
+
681
+ 171
682
+ 00:13:41,270 --> 00:13:46,650
683
+ ู‡ุจุฏุฃ ููŠ ุงู„ test two-tailed
684
+
685
+ 172
686
+ 00:13:46,650 --> 00:13:50,850
687
+ ุฑูƒุฒูŠ
688
+
689
+ 173
690
+ 00:13:50,850 --> 00:13:57,090
691
+ ู…ุนุงูŠุง ู„ุฅู† ููŠ ุงู„ test two-tailed ูŠุนู†ูŠ
692
+
693
+ 174
694
+ 00:13:57,090 --> 00:14:02,130
695
+ ู„ุง ูŠุณุงูˆูŠ ู…ุธุจูˆุทุŸ
696
+
697
+ 175
698
+ 00:14:02,130 --> 00:14:03,750
699
+ when mu1 equals mu2
700
+
701
+ 176
702
+ 00:14:11,870 --> 00:14:17,510
703
+ ู…ู…ูƒู† ุงุญูƒูŠ ู…ูŠูˆ ูˆุงู† ุงูŠู‚ูˆุฒ ู…ูŠูˆ ุชูˆ ูˆ ุจุชูƒู„ู… ุนู„ู‰ ุงู„
704
+
705
+ 177
706
+ 00:14:17,510 --> 00:14:20,910
707
+ difference between two populations ู„ู…ุง ุจุญูƒูŠ ู…ูŠูˆ
708
+
709
+ 178
710
+ 00:14:20,910 --> 00:14:23,810
711
+ ูˆุงู† ุงูŠู‚ูˆุฒ ู…ูŠูˆ ุชูˆ ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ุง ุงู„ูุฑู‚ ุงู„ู„ูŠ
712
+
713
+ 179
714
+ 00:14:23,810 --> 00:14:29,490
715
+ ุจูŠู†ู‡ู… ู…ุด ู…ุชุณุงูˆูŠ ุฒูŠุฑูˆ ู„ู…ุง
716
+
717
+ 180
718
+ 00:14:29,490 --> 00:14:33,290
719
+ ุจุญูƒูŠ ู…ูŠูˆ ูˆุงู† does not equal ู…ูŠูˆ ุชูˆ ู…ุนู†ุงู‡ุง ุงู„ูุฑู‚
720
+
721
+ 181
722
+ 00:14:33,290 --> 00:14:38,990
723
+ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู…ุงุจุณุงูˆูŠ ุตูุฑ ุฒุงุฏ ุฃูˆู„ ูˆุงุญุฏุฉุฅุฐุง ุจุญูƒูŠ mu1
724
+
725
+ 182
726
+ 00:14:38,990 --> 00:14:43,230
727
+ equals mu2 ููŠ ุงู„ู€ two-tailed ู…ุนู†ุงู‡ ู…ูŠ ูˆุงู† ู„ุง ูŠู‚ู„
728
+
729
+ 183
730
+ 00:14:43,230 --> 00:14:47,750
731
+ ู…ูŠ ูˆุงู† ุงูˆ ุจูƒุชุจู‡ุง ุนู„ู‰ ุดูƒู„ ู…ูŠ ูˆุงู† ู…ุงู†ุณ ู…ูŠ ูˆุงู† ุงู‚ู„
732
+
733
+ 184
734
+ 00:14:47,750 --> 00:14:52,370
735
+ ุฒูŠุฑูˆ against ู…ูŠ ูˆุงู† ู…ุงู†ุณ ู…ูŠ ูˆุงู† ู„ุง ูŠู‚ู„ ุฒูŠุฑูˆ ู‡ุฐุง
736
+
737
+ 185
738
+ 00:14:52,370 --> 00:14:59,310
739
+ ุจุงู„ู†ุณุจุฉ ู„ู…ูŠู† ุงู„ two-tailed ุงู„ one-tailed either
740
+
741
+ 186
742
+ 00:14:59,310 --> 00:15:02,950
743
+ upper tailed or lower tailed ุงู„ upper tail
744
+
745
+ 187
746
+ 00:15:08,190 --> 00:15:12,570
747
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ุจุงู„ H1 ู…ุนู†ุงู‡ upper ูŠุนู†ูŠ ู…ูŠ ูˆุงู† ู…ุง ู„ู‡
748
+
749
+ 188
750
+ 00:15:12,570 --> 00:15:20,590
751
+ greater than ุงูˆ more than ุทูŠุจ ุฅูŠุด ู‡ุชูƒูˆู† ุงู„ H0ุŸ ุงู„
752
+
753
+ 189
754
+ 00:15:20,590 --> 00:15:26,450
755
+ H0 always the complement ู„H1ุŒ ุงุชู†ูŠู† ูŠูƒู…ู„ูˆุง ุจุนุถุŒ ุงูˆ
756
+
757
+ 190
758
+ 00:15:26,450 --> 00:15:29,290
759
+ ุงู„ opposite ุฅุฐุง ู‡ุฐูŠ ู…ูŠ ูˆุงู† greater than ู…ูŠ ูˆุงู†
760
+
761
+ 191
762
+ 00:15:30,450 --> 00:15:34,070
763
+ ู‡ุชูƒูˆู† ู‡ุฐู‡ ู…ุงู„ู‡ุง less than or equal less than or
764
+
765
+ 192
766
+ 00:15:34,070 --> 00:15:37,050
767
+ equal ู„ 101 ุฅุฐุง ุงู„ูˆุงุญุฏุฉ 101 ุฃูƒุจุฑ ู…ู† 102 ูˆุงู„ุซุงู†ูŠ
768
+
769
+ 193
770
+ 00:15:37,050 --> 00:15:44,270
771
+ 101 ุฃู‚ู„ ู…ู† ุตูุฑ ู…ูŠุชูˆ ุฃูˆ ู…ู…ูƒู† ุชู†ูƒุชุจ ูƒูŠู ุงู„ูุฑู‚ ุงู„ู„ูŠ
772
+
773
+ 194
774
+ 00:15:44,270 --> 00:15:47,910
775
+ ุจูŠู†ู‡ู… ู…ุงู„ู‡ ู„ูˆ ูƒุงู†ุช 101 ุฃู‚ู„ ู…ู† ุตูุฑ ู…ูŠุชูˆ ูˆู…ุน ูƒุฏู‡
776
+
777
+ 195
778
+ 00:15:47,910 --> 00:15:52,010
779
+ ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู…ุงู„ู‡ less than or equal 0 less
780
+
781
+ 196
782
+ 00:15:52,010 --> 00:15:55,590
783
+ than or equal 0 ู…ุธุจูˆุท ุฅุฐุง 101 ุฃู‚ู„ ูˆ 912 ู…ุนู†ุงู‡
784
+
785
+ 197
786
+ 00:15:55,590 --> 00:15:59,080
787
+ ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ุฃู‚ู„ ู…ู† ุตูุฑุทุจ ู…ูŠ ูˆุงู† ุฃูƒุจุฑ ุฅูŠุด
788
+
789
+ 198
790
+ 00:15:59,080 --> 00:16:08,360
791
+ ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ุง ุฃูƒุจุฑ ู‡ุฐุง ุจู†ุณู…ูŠู‡ upper tail ุทุจ ุงู„ู„ูŠ
792
+
793
+ 199
794
+ 00:16:08,360 --> 00:16:14,540
795
+ ู‡ูˆ upper tail ุงู„ู„ูŠ
796
+
797
+ 200
798
+ 00:16:14,540 --> 00:16:17,020
799
+ ู‡ูˆ upper tailุŒ ุจุฏูŠ ูˆุงุญุฏุฉ ุชูƒุชุจ ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ upper
800
+
801
+ 201
802
+ 00:16:17,020 --> 00:16:22,260
803
+ tail ูƒุชุจุช
804
+
805
+ 202
806
+ 00:16:22,260 --> 00:16:26,600
807
+ ุงู„ upper tail ู…ูŠ ูˆุงู† ุฃูƒุจุฑ ู…ู† ุงุชู†ูŠู† ุจุฏุฃุช ุจุงู„ H1 ูˆู‡ูŠ
808
+
809
+ 203
810
+ 00:16:26,600 --> 00:16:27,040
811
+ ุงู„ H0
812
+
813
+ 204
814
+ 00:16:34,000 --> 00:16:42,000
815
+ ุงุจุฏู‰ ุฏุงูŠู…ุง ุจุงู„ู€H1 ููŠ ุงู„ุฃูˆู„ ูƒูˆูŠุณุฉุŒ
816
+
817
+ 205
818
+ 00:16:42,000 --> 00:16:46,420
819
+ ู…ู…ุชุงุฒุฉุŒ ุงุฐุง ุงู„ู€MU1 ุฃู‚ู„ ู„ุญุธุฉ ู…ู† ุบูŠุฑ ุงู„ู„ูŠ ุณุงูˆูŠ ุฏุงูŠู…ุง
820
+
821
+ 206
822
+ 00:16:46,420 --> 00:16:51,660
823
+ ุงู„ู€equal sign just appears on H0 ูุงู„ู€H1 ู…ุงููŠุด ุนู†ุฏูŠ
824
+
825
+ 207
826
+ 00:16:51,660 --> 00:16:57,800
827
+ equal sign ุงูƒุจุฑ
828
+
829
+ 208
830
+ 00:16:57,800 --> 00:16:58,200
831
+ ุงูˆ ุฃูƒุจุฑ
832
+
833
+ 209
834
+ 00:17:07,140 --> 00:17:11,760
835
+ ูˆุงุถุญ ู‡ูŠูƒ ุฅุฐุง ู‡ูŠ ุจุฏุฃุช ุงู„ H1 ุทุงู„ู…ุง ู„ูˆ ุฃุฑุฏุช ูŠุนู†ูŠ U1
836
+
837
+ 210
838
+ 00:17:11,760 --> 00:17:17,300
839
+ ุฃู‚ู„ ู…ู† U2 ู…ุน ุฃู† ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฃู‚ู„ ู…ู† ุตูุฑ ููŠ ุงู„ null
840
+
841
+ 211
842
+ 00:17:17,300 --> 00:17:20,940
843
+ ู‡ุชูƒูˆู† ุงู„ complement ุชุจุนุชู‡ุง ุจุฏู„ ู…ุง ูƒุงู†ุช ุฃู‚ู„ ุจูŠุตูŠุฑ
844
+
845
+ 212
846
+ 00:17:20,940 --> 00:17:24,140
847
+ ุฃูƒุจุฑ ุฃูˆ ุฃุณุงูˆูŠ ู…ุน ูƒุฏู‡ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฃูƒุจุฑ ูˆ ุฃุณุงูˆูŠ ุตูุฑ
848
+
849
+ 213
850
+ 00:17:24,140 --> 00:17:29,140
851
+ ู‡ุฐุง ูƒูŠู how can we stateุงู„ู€ null and alternative
852
+
853
+ 214
854
+ 00:17:29,140 --> 00:17:40,720
855
+ hypothesis ููŠ ุฃูŠ ุณุคุงู„ุŸ ูƒูŠู
856
+
857
+ 215
858
+ 00:17:40,720 --> 00:17:47,620
859
+ ู†ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
860
+
861
+ 216
862
+ 00:17:47,620 --> 00:17:50,400
863
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
864
+
865
+ 217
866
+ 00:17:50,400 --> 00:17:50,820
867
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
868
+
869
+ 218
870
+ 00:17:50,820 --> 00:17:50,880
871
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
872
+
873
+ 219
874
+ 00:17:50,880 --> 00:17:52,820
875
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฅุฐุง ูุฅู† ูƒู„ ูˆุงุญุฏ ู…ู†ูƒู… ูŠุชุฌุงูˆุฒ
876
+
877
+ 220
878
+ 00:17:52,820 --> 00:17:56,740
879
+ ุงู„ู€ NULL ุฅุฐุง ูุฅู† ุชุงุฑูŠุฎ T ูŠุชุฌุงูˆุฒ ููŠ ุงู„ู…ู†ุทู‚ุฉ
880
+
881
+ 221
882
+ 00:17:56,740 --> 00:18:05,200
883
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุขู† ู„ุชุฌุงุฑุจูŠู† ุฃูˆ ุชุงุฑูŠุฎูŠู† ูƒู…
884
+
885
+ 222
886
+ 00:18:05,200 --> 00:18:09,080
887
+ ู…ู† ุงู„ู…ู†ุทู‚ุงุช ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชูŠ ู„ุฏูŠู†ุงุŸ ู‡ู†ุงูƒ 2 ู…ู†ุทู‚ุงุช
888
+
889
+ 223
890
+ 00:18:09,080 --> 00:18:15,040
891
+ ุชุฌุงุฑูŠุฉุŒ ูˆุงุญุฏ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ูˆุงุญุฏ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฅุฐุง ูƒู†ุง
892
+
893
+ 224
894
+ 00:18:15,040 --> 00:18:19,300
895
+ ู†ุชูƒู„ู… ุนู† ู…ุณุชูˆู‰ Alpha ู…ุณุชูˆู‰ ุงู„ู…ุนุฑูˆู Alpha ู‡ุฐุง ูŠุนู†ูŠ
896
+
897
+ 225
898
+ 00:18:19,300 --> 00:18:20,020
899
+ ุฃู† ู‡ู†ุงูƒ
900
+
901
+ 226
902
+ 00:18:23,310 --> 00:18:31,830
903
+ ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ
904
+
905
+ 227
906
+ 00:18:31,830 --> 00:18:38,150
907
+ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู†
908
+
909
+ 228
910
+ 00:18:38,150 --> 00:18:44,310
911
+ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู†
912
+
913
+ 229
914
+ 00:18:44,310 --> 00:18:48,870
915
+ ู†ูุณ
916
+
917
+ 230
918
+ 00:18:48,870 --> 00:18:51,690
919
+ ุณูˆูŠู†
920
+
921
+ 231
922
+ 00:19:10,960 --> 00:19:14,960
923
+ ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ุงุชุตุงู„ูŠุฉ
924
+
925
+ 232
926
+ 00:19:17,590 --> 00:19:24,310
927
+ ุงู…ุง ุงูƒุจุฑ ู…ู† T alpha over 2 ุงูˆ ุงู‚ู„
928
+
929
+ 233
930
+ 00:19:24,310 --> 00:19:27,810
931
+ ู…ู† negative T alpha over 2 ูŠุนู†ูŠ ุงู…ุง T statistic
932
+
933
+ 234
934
+ 00:19:27,810 --> 00:19:31,550
935
+ ูˆุงู‚ุน ู‡ู†ุง ุงูƒุจุฑ ู…ู† T alpha ุนู„ู‰ 2 ุงูˆ ุงู‚ู„ ู…ู† ู†ุงู‚ุต T
936
+
937
+ 235
938
+ 00:19:31,550 --> 00:19:37,150
939
+ alpha ุนู„ู‰ 2 ู‡ู„ ุงุจู†ุณ ู„ู…ู†ุŸ ู„ู„ two-tailed test ุทุจ ู„ูˆ
940
+
941
+ 236
942
+ 00:19:37,150 --> 00:19:43,190
943
+ ูƒุงู†ุช upper tailุงู„ู€ upper tail ุจุชูƒูˆู† there is only
944
+
945
+ 237
946
+ 00:19:43,190 --> 00:19:45,990
947
+ one rejection region to the right or to the leftุŸ
948
+
949
+ 238
950
+ 00:19:45,990 --> 00:19:50,190
951
+ right ูˆู„ุง leftุŸ right ุฃูƒูŠุฏ right ู‡ุชูƒูˆู† ู‡ุฐู‡ ุนุจุงุฑุฉ
952
+
953
+ 239
954
+ 00:19:50,190 --> 00:19:53,630
955
+ ุนู† T ุฃู„ูุฉ ูˆู„ุง ุฃู„ู ุน ุงุชู†ูŠู†ุŸ ุฃู„ูุฉ ู„ุญุงู„ุฉ ุจุณ ุฃู„ูุฉ
956
+
957
+ 240
958
+ 00:19:53,630 --> 00:19:58,590
959
+ ู„ุญุงู„ุฉ ุงู„ุณุจุจ ุจุชุชูƒู„ู… ุนู„ู‰ one tail ุฅุฐุง ุจุณ ุจุชุจู‚ู‰ ุฃู„ูุฉ
960
+
961
+ 241
962
+ 00:19:58,590 --> 00:20:05,710
963
+ ุงู„ rejection region this green area ุฅุฐุง we reject
964
+
965
+ 242
966
+ 00:20:05,710 --> 00:20:08,270
967
+ it's zero if .. ุฅุฐุง reject
968
+
969
+ 243
970
+ 00:20:11,210 --> 00:20:16,450
971
+ H0 ุฅุฐุง ูƒุงู†ุช ุงู„ู€ Tุณุชุงุช ู…ุงู„ู‡ุง ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ู„ุญุธุฉุŒ
972
+
973
+ 244
974
+ 00:20:16,450 --> 00:20:22,770
975
+ ุฃูƒุจุฑุŒ ู‡ูŠ ุฃูƒุจุฑ ู…ู† T ฮฑู„ูุฉ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† T ุฃู„ูุฉุŒ
976
+
977
+ 245
978
+ 00:20:22,770 --> 00:20:30,130
979
+ ู‡ูˆ ูŠู€Reject ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ ูˆุงุญุฏุฉ ุชู…ู„ูŠู‡ุง ุงู„ุญุงู„ุฉ
980
+
981
+ 246
982
+ 00:20:30,130 --> 00:20:36,390
983
+ ุงู„ุชุงู„ุชุฉ ุฅุฐุง
984
+
985
+ 247
986
+ 00:20:36,390 --> 00:20:39,090
987
+ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ูŠุฉ ุงู„ู€ Upper tail ู‡ูˆ ูŠู€Reject ุฅุฐุง ูƒุงู†ุช
988
+
989
+ 248
990
+ 00:20:39,090 --> 00:20:44,950
991
+ ุงู„ู€ Tุณุชุงุช ุฃูƒุจุฑ ู…ู† T ุฃู„ูุฉุญู„ ุงู„ุฃ๏ฟฝ๏ฟฝูŠุฑุฉ ุงูŠู‡ ู‡ูˆ ุงู„ุชุงู†ูŠ
992
+
993
+ 249
994
+ 00:20:44,950 --> 00:20:47,350
995
+ hand lower ูˆ one hand
996
+
997
+ 250
998
+ 00:21:13,560 --> 00:21:22,080
999
+ ุจุณ ุจุงู„ุณู‡ู„ ุจู‚ู‰ ู†ูŠุฌุงุชูŠ ูƒูˆูŠุณ ุงุฐุง ุงู„ left tail ุงูˆ ุงู„
1000
+
1001
+ 251
1002
+ 00:21:22,080 --> 00:21:25,940
1003
+ lower tail to the left side this is negative T
1004
+
1005
+ 252
1006
+ 00:21:25,940 --> 00:21:30,740
1007
+ alpha and we reject if the T statistic
1008
+
1009
+ 253
1010
+ 00:21:33,350 --> 00:21:36,830
1011
+ ุชู‚ุน ููŠู‡ุง ูŠุนู†ูŠ if the value of the statistics fall
1012
+
1013
+ 254
1014
+ 00:21:36,830 --> 00:21:40,670
1015
+ in the rejection region it means if T sets less
1016
+
1017
+ 255
1018
+ 00:21:40,670 --> 00:21:44,790
1019
+ than negative T alpha in this area then we reject
1020
+
1021
+ 256
1022
+ 00:21:44,790 --> 00:21:47,490
1023
+ the null hypothesis ุฅุฐุง ููŠ ุนู†ุฏู†ุง three different
1024
+
1025
+ 257
1026
+ 00:21:47,490 --> 00:21:51,950
1027
+ scenarios for two-tiered test there are two
1028
+
1029
+ 258
1030
+ 00:21:51,950 --> 00:21:52,710
1031
+ rejection regions
1032
+
1033
+ 259
1034
+ 00:21:59,280 --> 00:22:03,440
1035
+ ูˆุฅุฐุง ูƒุงู†ุช ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1036
+
1037
+ 260
1038
+ 00:22:03,440 --> 00:22:04,000
1039
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1040
+
1041
+ 261
1042
+ 00:22:04,000 --> 00:22:04,660
1043
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1044
+
1045
+ 262
1046
+ 00:22:04,660 --> 00:22:04,720
1047
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1048
+
1049
+ 263
1050
+ 00:22:04,720 --> 00:22:05,680
1051
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1052
+
1053
+ 264
1054
+ 00:22:05,680 --> 00:22:06,200
1055
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1056
+
1057
+ 265
1058
+ 00:22:06,200 --> 00:22:07,580
1059
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1060
+
1061
+ 266
1062
+ 00:22:07,580 --> 00:22:12,590
1063
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูˆู†ู†ู‚ู„
1064
+
1065
+ 267
1066
+ 00:22:12,590 --> 00:22:16,050
1067
+ ุฏุงุฆู…ุง ุฅุฐุง ูƒุงู†ุช ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุชุชุฎู„ุต ููŠ ุฃุนู„ู‰ ุฃุณู„ุญุฉ
1068
+
1069
+ 268
1070
+ 00:22:16,050 --> 00:22:20,470
1071
+ ุฃุนู†ูŠ ุฃูƒุชุฑ ู…ู† T ุฃู„ูุฉ ุฃูˆ ุฅุฐุง ูƒุงู†ุช ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุชุชุฎู„ุต
1072
+
1073
+ 269
1074
+ 00:22:20,470 --> 00:22:24,270
1075
+ ููŠ ุฃุณู„ุญุฉ ุงู„ุฃุณูู„ ุฃุนู†ูŠ ุฅุฐุง ูƒุงู†ุช T ุฃุณู„ุญุฉ ุฃูƒุชุฑ ู…ู† ู†ู‚ู„
1076
+
1077
+ 270
1078
+ 00:22:24,270 --> 00:22:28,870
1079
+ T ุฃู„ูุฉ ูู‡ุฐู‡ ุงู„ุตูุญุฉ ู‡ูŠ ููŠ ุงู„ูˆุงู‚ุน ู†ูุณ ู…ุง ูุนู„ู†ุงู‡ ููŠ
1080
+
1081
+ 271
1082
+ 00:22:28,870 --> 00:22:35,930
1083
+ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ ู†ูุณ ุงู„ูƒู„ุจ ุฃุฎุฏู‡ุง ููŠ ุงู„ุฃูˆู„ ุฒูŠ
1084
+
1085
+ 272
1086
+ 00:22:35,930 --> 00:22:42,330
1087
+ ู…ุง ุญูƒูŠุช ุนู†ุฏูŠ population meansุณุฃุจุฏุฃ ุจุงู„ุงู†ุฏุจู†ุฏู†ุช ูˆููŠ
1088
+
1089
+ 273
1090
+ 00:22:42,330 --> 00:22:45,990
1091
+ ุงู„ุงู†ุฏุจู†ุฏู†ุช ุณู†ุฃุฎุฐ ู…ุงุฐุงุŸ ุณูŠุฌู…ุง ูˆุงู† ูˆุณูŠุฌู…ุง ุชูˆ ูˆุงู†ูˆู†
1092
+
1093
+ 274
1094
+ 00:22:45,990 --> 00:22:49,830
1095
+ ูˆู„ูƒู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู…ุชุณุงูˆู…ูŠู† ู‡ุฐู‡ ู‡ูŠ ุงู„ุงุณุทุงู„ ุงู„ู„ูŠ ุฃู†ุง
1096
+
1097
+ 275
1098
+ 00:22:49,830 --> 00:22:57,530
1099
+ ุดุบุงู„ ููŠู‡ุง ู‡ู†ุง ู‡ู†ุงูƒ ุซู„ุงุซุฉ ุฃุณุงู…ูŠุด ู†ู…ุจุฑ ูˆุงุญุฏ ุงู„ุณุงู…ุจู„ุฒ
1100
+
1101
+ 276
1102
+ 00:22:57,530 --> 00:23:01,690
1103
+ ู‡ู… ุฑุงู†ุฏูˆู…ูŠ ูˆุงู†ุฏุจู†ุฏู†ุชูŠ ุฏุฑูˆู† ุงู„ุนูŠู†ุงุช ุฅุฐุง ุฃุฎุฏู‡ู…
1104
+
1105
+ 277
1106
+ 00:23:01,690 --> 00:23:07,540
1107
+ ุงุชู†ุชูŠู† ุฑุงู†ุฏู…ูŠุนู†ูŠ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ูˆู…ุณุชู‚ู„ ูŠุนู†ูŠ ุชู… ุณุงุญุจ
1108
+
1109
+ 278
1110
+ 00:23:07,540 --> 00:23:11,880
1111
+ ุนุดูˆุงุฆูŠุง ูˆุจุงุณุชู‚ู„ุงู„ูŠุฉ ู…ุนู†ู‰ ุงุณุชู‚ู„ุงู„ูŠุฉ ูŠุนู†ูŠ ุงู„ sample
1112
+
1113
+ 279
1114
+ 00:23:11,880 --> 00:23:16,540
1115
+ from one population does not affect your choice
1116
+
1117
+ 280
1118
+ 00:23:16,540 --> 00:23:20,240
1119
+ from the second population so assumption number
1120
+
1121
+ 281
1122
+ 00:23:20,240 --> 00:23:24,600
1123
+ one samples are randomly and independently drawn
1124
+
1125
+ 282
1126
+ 00:23:24,600 --> 00:23:31,750
1127
+ ุชู… ุณุงุญุจ ุนุดูˆุงุฆูŠุง ูˆุจุทุฑูŠู‚ุฉ ู…ุณุชู‚ู„ุฉ ุฑู‚ู… ุงุชู†ูŠู†ุงู„ุชูˆุฒูŠูŠุน
1128
+
1129
+ 283
1130
+ 00:23:31,750 --> 00:23:38,950
1131
+ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ
1132
+
1133
+ 284
1134
+ 00:23:38,950 --> 00:23:45,520
1135
+ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠุฃูˆ ุงู„ู€
1136
+
1137
+ 285
1138
+ 00:23:45,520 --> 00:23:49,780
1139
+ Size ู„ู„ุฃูˆู„ ูˆ ุงู„ู€ Size ู„ู„ุชุงู†ูŠ ูƒู„ ูˆุงุญุฏุฉ at least
1140
+
1141
+ 286
1142
+ 00:23:49,780 --> 00:23:55,780
1143
+ ุชู„ุงุชูŠู† ูŠุนู†ูŠ ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ ุชู„ุงุชูŠู† ู‡ู„ ุงู„ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูˆู„ุง
1144
+
1145
+ 287
1146
+ 00:23:55,780 --> 00:23:59,480
1147
+ ุงู„ุงุชู†ูŠู†ุŸ ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูŠุนู†ูŠ ูƒู„ ูˆุงุญุฏุฉ ุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ
1148
+
1149
+ 288
1150
+ 00:23:59,480 --> 00:24:02,020
1151
+ ุณูˆู‰ ุชู„ุงุชูŠู† ูŠุนู†ูŠ ู„ุง ูˆุงุญุฏุฉ ุฎู…ุณุฉ ุฃูˆ ุชู„ุงุชูŠู†ุŒ ูˆุงุญุฏุฉ
1152
+
1153
+ 289
1154
+ 00:24:02,020 --> 00:24:06,320
1155
+ ุนุดุฑูŠู† ู…ู…ู†ูุนุด ู„ุงุฒู… ุงุชู†ูŠู† ู…ุงู„ู‡ู… ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ ุชู„ุงุชูŠู†
1156
+
1157
+ 290
1158
+ 00:24:06,320 --> 00:24:08,780
1159
+ ุฅุฐุง ุงู„ condition ุงู„ุชุงู†ูŠ ุงู„ populations are
1160
+
1161
+ 291
1162
+ 00:24:08,780 --> 00:24:12,500
1163
+ normally distributed or both sample sizes are at
1164
+
1165
+ 292
1166
+ 00:24:12,500 --> 00:24:18,000
1167
+ least thirdุฑู‚ู… ุชู„ุงุชุฉ ุงู„ู€ Vibration variances are
1168
+
1169
+ 293
1170
+ 00:24:18,000 --> 00:24:23,580
1171
+ ู…ุงู„ู‡ู…ุŸ unknownุŒ but we assume equal ู‡ุฐุง ุงู„
1172
+
1173
+ 294
1174
+ 00:24:23,580 --> 00:24:25,920
1175
+ condition ุงู„ู„ูŠ ุฃู†ุง ุดุบุงู„ ุนู„ูŠู‡ุŒ there are three
1176
+
1177
+ 295
1178
+ 00:24:25,920 --> 00:24:30,540
1179
+ assumptionsุŒ random ูˆ independent ุฑู‚ู… ูˆุงุญุฏุŒ ุงุชู†ูŠู†
1180
+
1181
+ 296
1182
+ 00:24:30,540 --> 00:24:33,360
1183
+ normal ุฃูˆ ุงู„ sizes are large enoughุŒ I mean large
1184
+
1185
+ 297
1186
+ 00:24:33,360 --> 00:24:36,580
1187
+ enough means 30 and aboveุŒ and the last one,
1188
+
1189
+ 298
1190
+ 00:24:36,820 --> 00:24:43,370
1191
+ sigma's are unknown but theyุฎู„ุงุต ู‡ุฐูˆู„ ุงู„ three
1192
+
1193
+ 299
1194
+ 00:24:43,370 --> 00:24:49,130
1195
+ assumptions any question ููŠ ุงูŠ ุณุคุงู„ุฃู‡ ุงู„ doctorate
1196
+
1197
+ 300
1198
+ 00:24:49,130 --> 00:24:53,250
1199
+ population ู…ุด .. ู†ุญูƒูŠ ู…ุน .. ู†ุชุนุงู…ู„ ู…ุน ุงู„ sigma ู…ุด
1200
+
1201
+ 301
1202
+ 00:24:53,250 --> 00:24:55,190
1203
+ ู…ุน ุงู„ variance ู…ุน ุงู„ standard deviation ุตุญูŠุญ
1204
+
1205
+ 302
1206
+ 00:24:55,190 --> 00:24:57,430
1207
+ population standard deviation ุตุญูŠุญ ุตุญูŠุญ ู…ุงู†ุจุญูƒูŠ
1208
+
1209
+ 303
1210
+ 00:24:57,430 --> 00:24:59,730
1211
+ population standard deviation ูˆ population
1212
+
1213
+ 304
1214
+ 00:24:59,730 --> 00:25:02,310
1215
+ variance ุฒูŠ ุจุนุถ ูˆุงุญุฏุฉ square ูˆ ุซุงู†ูŠุฉ ุงู‡ ู‡ูŠ second
1216
+
1217
+ 305
1218
+ 00:25:02,310 --> 00:25:05,570
1219
+ ู…ุด ู…ุดูƒู„ุฉ ู…ุงู†ุจุญูƒูŠ population variance ูˆ ู„ุง .. ู†ูุณ
1220
+
1221
+ 306
1222
+ 00:25:05,570 --> 00:25:08,790
1223
+ ุงู„ุดูŠุก ู†ูุณ ุงู„ .. ุจุณ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ุงู„ sigma ู„ุญุงู„ุฉ
1224
+
1225
+ 307
1226
+ 00:25:08,790 --> 00:25:13,950
1227
+ ุตุญูŠุญ ูุงู„ุดุบู„ ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ู…ุน ุจุนุถ ุงู„ุงู† ููŠ ุนู†ุฏูŠ
1228
+
1229
+ 308
1230
+ 00:25:13,950 --> 00:25:17,710
1231
+ ุชุนุฑูŠููŠู† ู…ู‡ู…ุงุช ุฌุฏุง ุงู†ุง ุนู†ุฏูŠ two samples ู…ุด ู‡ูŠูƒ
1232
+
1233
+ 309
1234
+ 00:25:18,650 --> 00:25:21,490
1235
+ ุงู„ุณุงู…ุจู„ ุงู„ุฃูˆู„ู‰ Lู‡ุง standard deviation ูˆุงู„ุซุงู†ูŠุฉ ู„ู‡ุง
1236
+
1237
+ 310
1238
+ 00:25:21,490 --> 00:25:25,950
1239
+ standard deviation ู…ุฎุชู„ูุฉ ู‡ุฌู…ุญู‡ู… ู…ุน ุจุนุถ ูˆุงุทู„ุน
1240
+
1241
+ 311
1242
+ 00:25:25,950 --> 00:25:30,470
1243
+ variance ู„ู„ุงุซู†ูŠู† ู…ุน ุจุนุถ ูŠุนู†ูŠ ู†ูุชุฑุถ ุชุจุงูŠู† ุงู„ู…ุฌู…ูˆุนุฉ
1244
+
1245
+ 312
1246
+ 00:25:30,470 --> 00:25:35,190
1247
+ ุชุจุน ุงู„ุทู„ุงุจ ุงู„ variance ุฎู…ุณ ุฎู…ุณุฉ ูˆ ุงู„ุทู„ุงุจ ุนุดุฑูŠู† ุฅูŠุด
1248
+
1249
+ 313
1250
+ 00:25:35,190 --> 00:25:40,130
1251
+ ุงู„ุชุจุงูŠู† ู„ู„ุงุซู†ูŠู† ู…ุน ุจุนุถ ู‡ุฐุง ุจู†ุณู…ูŠู‡ ุงู„ bold variance
1252
+
1253
+ 314
1254
+ 00:25:40,130 --> 00:25:48,720
1255
+ ู…ู†ูุนุด ุฒูŠ ู…ุง ุญูƒุช ุฒู…ูŠู„ุชูƒ ูŠูƒูˆู† ู…ุซู„ุงุนู†ุฏู‰ two groups
1256
+
1257
+ 315
1258
+ 00:25:48,720 --> 00:26:00,300
1259
+ ู…ุซู„ุง female ูˆ male ูˆ ู†ูุชุฑุถ ุงู„ุทู„ุจุงุช ุนุฏุฏู‡ู… ุนุดุฑูŠู† ูˆ
1260
+
1261
+ 316
1262
+ 00:26:00,300 --> 00:26:07,080
1263
+ ุงู„ุทู„ุงุจ ุนุฏุฏู‡ู… ุฎู…ุณุฉ ุนุดุฑ ู†ูุชุฑุถ ุงู„ variance ู„ู„ุทู„ุจุงุช
1264
+
1265
+ 317
1266
+ 00:26:07,080 --> 00:26:13,440
1267
+ ู†ูุชุฑุถ eight point five ูˆ ุงู„ variance ู„ู„ุทู„ุงุจ ู†ูุชุฑุถ
1268
+
1269
+ 318
1270
+ 00:26:13,440 --> 00:26:18,340
1271
+ six point fiveุจู†ุชุทู„ุน ุงู„ variants ู„ู„ุฅุชู†ูŠู† ู…ุน ุจุนุถ
1272
+
1273
+ 319
1274
+ 00:26:18,340 --> 00:26:24,300
1275
+ ุจู†ุณู…ูŠู‡ bold variants ุฅูŠุด ู…ุนู†ู‰ boldุŸ ุงู„ู…ุฌู…ุนุŒ
1276
+
1277
+ 320
1278
+ 00:26:24,300 --> 00:26:32,440
1279
+ ุงู„ุชุจุงูŠู† ุงู„ู…ุฌู…ุน ุงู„ bold variants ุญุงุทูŠู„ู‡
1280
+
1281
+ 321
1282
+ 00:26:32,440 --> 00:26:42,300
1283
+ ุฑุงู†ุฒ SยฒB ูˆ ุงู„ B ู„ูƒู„ู…ุฉ bold ู…ุงู†ูุนุด ุฃุทู„ุน ุงู„ bold
1284
+
1285
+ 322
1286
+ 00:26:42,300 --> 00:26:46,300
1287
+ variants ุฃุฌู…ุน ุงู„ุฅุชู†ูŠู† ู…ุน ุจุนุถู„ุฃู† ุงู„ุญุฌุงู… ุงู„ู„ูŠ ู‡ู… ุงู„ู€
1288
+
1289
+ 323
1290
+ 00:26:46,300 --> 00:26:57,320
1291
+ sizes ู…ุด ุฒูŠ ุจุนุถ ูุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ุง SยฒP ุจูŠุณุงูˆูŠ N1-1 S1ยฒ
1292
+
1293
+ 324
1294
+ 00:26:57,320 --> 00:27:02,680
1295
+ ู„ู„ุนูŠู† ุงู„ุฃูˆู„ู‰ N1 ุงู„ู„ูŠ ู‡ูŠ ุงู„ sample size ู„ู„ุฃูˆู„ู‰ ู†ู‚ุต
1296
+
1297
+ 325
1298
+ 00:27:02,680 --> 00:27:12,200
1299
+ ูˆุงุญุฏ ููŠ S1ยฒ ุฒุงุฏ ุงู„ุชุงู†ูŠุฉ N2 ู†ู‚ุต ูˆุงุญุฏ ููŠ S2 ุชุฑุจูŠุน
1300
+
1301
+ 326
1302
+ 00:27:12,200 --> 00:27:18,410
1303
+ ู…ู‚ุตูˆู… ุนู„ู‰ ู…ูŠู†ุŸุชุชุฐูƒุฑ ูƒุงู† ู‡ู†ุงูƒ ุนุจุงุฑุฉ ุนู† N ู†ู‚ุต ูˆุงุญุฏุŸ
1304
+
1305
+ 327
1306
+ 00:27:18,410 --> 00:27:22,550
1307
+ ูƒุงู† ุจุณ ุฃู† ุฃู†ุง ุนู†ุฏูŠ ุนูŠู†ุชูŠู† ุงู„ุฃูˆู„ุฉ ู‡ุชูƒูˆู† N ู†ู‚ุต ูˆุงุญุฏ
1308
+
1309
+ 328
1310
+ 00:27:22,550 --> 00:27:28,650
1311
+ N ูˆุงุญุฏ ูˆ ุงู„ุชุงู†ูŠุฉ N two minus ูˆุงุญุฏ ูŠุนู†ูŠ ู‡ุชูƒูˆู† N one
1312
+
1313
+ 329
1314
+ 00:27:28,650 --> 00:27:33,970
1315
+ minus one plus N two minus one ุฃูˆ ู…ู…ูƒู† ุงูƒุชุจ ู‡ุฐุง
1316
+
1317
+ 330
1318
+ 00:27:33,970 --> 00:27:40,870
1319
+ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู„ูˆ ุฌู…ุนุชู‡ู… ู…ุน ุจุนุถ ุฅูŠุด ุจุชุทู„ุนูˆุงุŸ ุฌู…ุนูŠู‡ู…
1320
+
1321
+ 331
1322
+ 00:27:40,870 --> 00:27:43,530
1323
+ N one minus one plus N two minus one ุฅูŠุด ุจุชุทู„ุนูˆุง
1324
+
1325
+ 332
1326
+ 00:27:43,530 --> 00:27:48,180
1327
+ ู…ุน ุจุนุถุŸN1 plus N2 minus 2 ู…ู…ุชุงุฒุฉ ูŠุง ุนุฒูŠุฒูŠ ุฃู†ุง
1328
+
1329
+ 333
1330
+ 00:27:48,180 --> 00:27:53,380
1331
+ ู‡ู…ุณุญู‡ ู…ุด ู‡ูƒุชุจ ุฒูŠ ู…ุง ู‡ูˆ ุงู„ูƒุงุชุจ ู‡ู†ุงูƒ ู‡ูƒุชุจ N1 plus N2
1332
+
1333
+ 334
1334
+ 00:27:53,380 --> 00:27:58,320
1335
+ minus 2 ุนุฑูุช ู…ู† ุฃูŠู† ุงุชุฌู‡ุช ุงู„ุฃูˆู„ุฉ N1 minus 1 ูˆ
1336
+
1337
+ 335
1338
+ 00:27:58,320 --> 00:28:02,500
1339
+ ุงู„ุชุงู†ูŠุฉ N2 minus 1 ุฅุฌู…ุนูŠู† ุจุทู„ุน N1 plus N2 minus 2
1340
+
1341
+ 336
1342
+ 00:28:02,500 --> 00:28:07,310
1343
+ ุฅุฐุง ู‡ูŠ ุงู„ุชุจุงูŠู† ุงู„ุฌุฏูŠุฏ ู‡ุฐุง ููŠ ุญุงู„ุฉ ู…ูŠู†ุŸุฅู† ุงู„ู€
1344
+
1345
+ 337
1346
+ 00:28:07,310 --> 00:28:13,210
1347
+ variances are unknown ุจุณ ู…ุง ู„ู‡ู… they are equal ุทูŠุจ
1348
+
1349
+ 338
1350
+ 00:28:13,210 --> 00:28:21,830
1351
+ ุฏูŠ ุงู„ statistic ุนุจุงุฑุฉ ุนู† ุงูŠู‡ุŸ
1352
+
1353
+ 339
1354
+ 00:28:21,830 --> 00:28:25,150
1355
+ ุชุฐูƒุฑูˆุง
1356
+
1357
+ 340
1358
+ 00:28:25,150 --> 00:28:29,290
1359
+ ุงู„ one sampleุŸ ุฅูŠุด ุงู„ู‚ุงู†ูˆู†ุŸ ุงู„ X bar minus X bar
1360
+
1361
+ 341
1362
+ 00:28:29,290 --> 00:28:34,610
1363
+ minus Mu minus Mu ุนู„ู‰ over standard over square
1364
+
1365
+ 342
1366
+ 00:28:34,610 --> 00:28:40,970
1367
+ root of oneุทุจุนุง ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ู…ู…ูƒู† ุงูƒุชุจ ุจุดูƒู„ ุชุงู†ูŠ x
1368
+
1369
+ 343
1370
+ 00:28:40,970 --> 00:28:45,690
1371
+ bar ู†ู‚ุต ู…ูŠูˆ ุงู„ู…ู‚ุงู… ู…ู…ูƒู† ุงุนู…ู„ู‡ ุฒูŠ ู‡ูŠูƒ ู…ุด ุจูŠู†ูุน
1372
+
1373
+ 344
1374
+ 00:28:45,690 --> 00:28:49,990
1375
+ ุทุงู„ู…ุง
1376
+
1377
+ 345
1378
+ 00:28:49,990 --> 00:28:52,310
1379
+ ุจูƒุชุจ s ุนู„ู‰ square root ู„ุฅู† ูƒู„ู‡ ุจุญูˆุท ุชุญุช square
1380
+
1381
+ 346
1382
+ 00:28:52,310 --> 00:28:58,270
1383
+ root ุงู„ุงุณุด ุจุชุฎุด ุฌูˆุง ุชุฑุจูŠู‡ ู…ุธุจูˆุท ูˆู‡ูŠ ุงู„ุฃู†ู…ูˆุฑ ู‡ูƒ ุตุญ
1384
+
1385
+ 347
1386
+ 00:28:58,270 --> 00:29:07,050
1387
+ ู‡ุฐุง ู„ูˆ ุงู†ุง ุฃุฎุฏู†ุง ู‡ุฐุง ูƒู„ู‡ ู‡ู†ุง for one sampleุจุงู„ุดุฑุทุฉ
1388
+
1389
+ 348
1390
+ 00:29:07,050 --> 00:29:11,470
1391
+ ุงู„ุชุณุนุฉ ุงู†ุง ุจุชูƒู„ู… ุนู„ู‰ two samples ูุชุณุฉ ุชุณูƒ ุงุด
1392
+
1393
+ 349
1394
+ 00:29:11,470 --> 00:29:15,470
1395
+ ู‡ุชุณุงูˆูŠ ูุงูƒุฒูŠ
1396
+
1397
+ 350
1398
+ 00:29:15,470 --> 00:29:19,990
1399
+ ู…ุนุงูŠุง ุจุฏู„ ุงู„ X bar ูˆุงุญุฏุฉ ุงูŠุด ุตุงุฑ ุนู†ุฏู‡ ุงู„
1400
+
1401
+ 351
1402
+ 00:29:19,990 --> 00:29:23,390
1403
+ difference between ู…ูŠูˆ ูˆุงู† minus ู…ูŠูˆ ุงุชูˆุง ุงู„
1404
+
1405
+ 352
1406
+ 00:29:23,390 --> 00:29:27,850
1407
+ estimate ู„ู‡ X one bar minus X one bar ูŠุนู†ูŠ ุจุฏู„ ุงู„
1408
+
1409
+ 353
1410
+ 00:29:27,850 --> 00:29:31,310
1411
+ X bar ู‡ูŠ ุฏู‡ ุงูŠุด ุตุงุฑุช X one bar minus X one bar
1412
+
1413
+ 354
1414
+ 00:29:31,310 --> 00:29:38,530
1415
+ minus ูˆุจุฏู„ ู…ูŠูˆู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ
1416
+
1417
+ 355
1418
+ 00:29:38,530 --> 00:29:40,590
1419
+ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†
1420
+
1421
+ 356
1422
+ 00:29:40,590 --> 00:29:43,890
1423
+ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ
1424
+
1425
+ 357
1426
+ 00:29:43,890 --> 00:29:46,570
1427
+ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ
1428
+
1429
+ 358
1430
+ 00:29:46,570 --> 00:29:48,890
1431
+ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ
1432
+
1433
+ 359
1434
+ 00:29:48,890 --> 00:29:48,930
1435
+ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ
1436
+
1437
+ 360
1438
+ 00:29:48,930 --> 00:29:49,450
1439
+ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ
1440
+
1441
+ 361
1442
+ 00:29:49,450 --> 00:29:52,130
1443
+ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ
1444
+
1445
+ 362
1446
+ 00:29:52,130 --> 00:30:00,230
1447
+ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุง
1448
+
1449
+ 363
1450
+ 00:30:02,670 --> 00:30:06,550
1451
+ ุชู„ุงุญุธ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุตุญ ุดูƒู„ู‡ ุฌุฏูŠุฏ ู„ุฅู† ุจู‚ุฏุฑ ุฃุนุฑูู‡ ู…ู†
1452
+
1453
+ 364
1454
+ 00:30:06,550 --> 00:30:11,590
1455
+ ุฃูŠู† ู…ู† ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ x bar minus mu ุนู„ู‰ s ุนู„ู‰
1456
+
1457
+ 365
1458
+ 00:30:11,590 --> 00:30:15,690
1459
+ square root of n ูƒุฏู‡ ูƒุฏู‡ ููŠ ุงู„ุชุญุงู…ู ุฃุนุทูŠูƒ ุงู„ู‚ุงู†ูˆู†
1460
+
1461
+ 366
1462
+ 00:30:15,690 --> 00:30:19,770
1463
+ ุจุชุงุน square b ูˆ ุจุชุงุน T statistic ุงู„ู„ูŠ ูŠุนู†ูŠ ุงู„ T
1464
+
1465
+ 367
1466
+ 00:30:19,770 --> 00:30:25,890
1467
+ statistic ู‡ุฐุง ู„ู‡ T distribution with degrees of
1468
+
1469
+ 368
1470
+ 00:30:25,890 --> 00:30:31,100
1471
+ freedomุชุชุฐูƒุฑ ุฅูŠู‡ ููŠ ู„ู…ุง ูƒุงู†ุช one sample ุงู„ู€DF ู…ุด
1472
+
1473
+ 369
1474
+ 00:30:31,100 --> 00:30:36,480
1475
+ ูƒุงู†ุช ุชุชุณุงูˆูŠ N-1 N-1 ู…ุธุจูˆุท ุทุจ ู„ู…ุง ุฃุตุจุญุช two samples
1476
+
1477
+ 370
1478
+ 00:30:36,480 --> 00:30:44,660
1479
+ ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ุงู„ุฃูˆู„ N1-1 ูˆ ุงู„ุชุงู†ูŠ N2-1 ู„ูˆ ุฌู…ุนุชู‡ู… N1
1480
+
1481
+ 371
1482
+ 00:30:44,660 --> 00:30:48,620
1483
+ plus N2 minus 2 ุฅุฐุง degrees of freedom equals N1
1484
+
1485
+ 372
1486
+ 00:30:48,620 --> 00:30:52,880
1487
+ plus N2 minus 2 ูŠุนู†ูŠ ูƒู„ ุงู„ุดูŠุก ุงู„ุฌุฏูŠุฏ ููŠ ุงู„ู…ูˆุถูˆุน
1488
+
1489
+ 373
1490
+ 00:30:52,880 --> 00:30:59,720
1491
+ ุงู„ู„ูŠ ุชุจู‚ู‰ ุงู„ูŠูˆู… ุฃุทู„ุน ุงู„ SยฒP ู‡ุฐู‡ ุงู„ู‚ุงู†ูˆู† ุงู„ุฌุฏูŠุฏูˆู‡ูŠ
1492
+
1493
+ 374
1494
+ 00:30:59,720 --> 00:31:02,580
1495
+ ุงู„ุชู„ุฉ ุงู„ุฌุฏูŠุฏุฉ ูˆุงุถุญุฉ ุงู†ู‡ุง extension ู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ
1496
+
1497
+ 375
1498
+ 00:31:02,580 --> 00:31:08,420
1499
+ ุงู„ุฃูˆู„ ูˆ ุงู„ DFD ู…ุง ูƒุงู†ุช N ุฃู‚ุตุฏู‡ุง ุญุตุงุฑุฉ N1 plus N2
1500
+
1501
+ 376
1502
+ 00:31:08,420 --> 00:31:14,500
1503
+ minus ุงู„ confidence interval ู‡ุฐู‡ ู†ุนู…ู„ู‡ุง skip ุฒูŠ ู…ุง
1504
+
1505
+ 377
1506
+ 00:31:14,500 --> 00:31:19,880
1507
+ ุญูƒูŠุช ุญุฏ
1508
+
1509
+ 378
1510
+ 00:31:19,880 --> 00:31:24,780
1511
+ ูŠู‚ุฑุฃ ุงู„ู„ูŠ ุงู†ุชู‡ู‰ you are of a neutral English for a
1512
+
1513
+ 379
1514
+ 00:31:24,780 --> 00:31:29,940
1515
+ brokerage firmIs there a difference in a divided
1516
+
1517
+ 380
1518
+ 00:31:29,940 --> 00:31:37,620
1519
+ yield between stocks listed on the NYSE
1520
+
1521
+ 381
1522
+ 00:31:37,620 --> 00:31:40,680
1523
+ and NASDAQ?
1524
+
1525
+ 382
1526
+ 00:31:42,790 --> 00:31:45,570
1527
+ ุงู„ู„ูŠ ุงู†ุง ุจุญูƒูŠู‡ ุงู† ุงูุชุฑุถ you are financial analyst
1528
+
1529
+ 383
1530
+ 00:31:45,570 --> 00:31:50,810
1531
+ ุงู†ุช ู…ุญู„ ุงู„ู…ุงู„ูŠ for brokerage firm brokerage firm
1532
+
1533
+ 384
1534
+ 00:31:50,810 --> 00:31:56,490
1535
+ ูŠุนู†ูŠ ุดุฑูƒุฉ ู„ู„ุณู…ุณุฑุฉ is there a difference in
1536
+
1537
+ 385
1538
+ 00:31:56,490 --> 00:32:01,130
1539
+ dividend yieldุŸ ุจุชุนุฑู ุงู„ุดุฑูƒุงุช ุงู„ semester ุจูŠูˆุฒุนูˆุง
1540
+
1541
+ 386
1542
+ 00:32:01,130 --> 00:32:05,290
1543
+ ุฃุฑุจุงุญู‡ุงุŒ ู…ุธุจูˆุท ู„ู„ุฃุณู‡ู… ูˆ ููŠ ุนู†ุฏู‡ ู†ูˆุนูŠู† ู…ู† ุงู„
1544
+
1545
+ 387
1546
+ 00:32:05,290 --> 00:32:10,770
1547
+ stocksุŒ ูˆุงุญุฏ ุงุฎุชุตุงุฑ ูˆ ู†ูŠุณ NYSE ูˆ ุงู„ุชุงู†ูŠ ุงู„ู†ุงุณ ุฏู‡
1548
+
1549
+ 388
1550
+ 00:32:11,490 --> 00:32:14,610
1551
+ ุจู†ูุชุฑุถ ุฃู†ูƒ ุชุฌู…ุน ุงู„ุจูŠุงู†ุงุช ุงู„ุชุงู„ูŠุฉ ุนู†ุฏูŠ ุดูˆูŠุฉ ุจูŠุฑุฉ
1552
+
1553
+ 389
1554
+ 00:32:14,610 --> 00:32:23,550
1555
+ number of stacks ู„ู†ูŠุณ 21 ุงู„ู€ average ุงู„ sample
1556
+
1557
+ 390
1558
+ 00:32:23,550 --> 00:32:29,230
1559
+ mean 3.27 ูˆ ุงู„ sample standard deviation 1.3 other
1560
+
1561
+ 391
1562
+ 00:32:29,230 --> 00:32:35,530
1563
+ stack there are 25 of them the average was I mean
1564
+
1565
+ 392
1566
+ 00:32:35,530 --> 00:32:39,570
1567
+ the sample mean was 2.53 and standard deviation 1
1568
+
1569
+ 393
1570
+ 00:32:39,570 --> 00:32:44,820
1571
+ .60ุฅุฐุง ูˆุงุถุญ ุฅู† ููŠ ุนู†ุฏูŠ two different groups ูˆุงุญุฏุฉ
1572
+
1573
+ 394
1574
+ 00:32:44,820 --> 00:32:49,620
1575
+ stack A ู†ูุชุฑุถ ูˆุงู„ุซุงู†ูŠุฉ stack B ู†ุดูˆู ุฅุฐุง ูƒุงู† ููŠ ูุฑู‚
1576
+
1577
+ 395
1578
+ 00:32:49,620 --> 00:32:54,160
1579
+ ุจูŠู†ู‡ู… ูˆู„ุง ู„ุงุŒ ูุจูŠุณุฃู„ assuming both populations are
1580
+
1581
+ 396
1582
+ 00:32:54,160 --> 00:32:58,900
1583
+ approximately normal ู‡ูŠ ุฃูˆู„ ุดุฑุทุŒ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ
1584
+
1585
+ 397
1586
+ 00:32:58,900 --> 00:33:03,060
1587
+ ุชู‚ุฑูŠุจุงุŒ with equal variances ู‡ูŠ ุชุงู†ูŠ ุดุฑุทุŒ ุงุญู†ุง
1588
+
1589
+ 398
1590
+ 00:33:03,060 --> 00:33:07,370
1591
+ ุญุงูƒูŠู†ุง ููŠ ุชู„ุงุช ุดุฑูˆุท ู…ุธุจูˆุทุŒ ุฅูŠุด ุงู„ุฃูˆู„ ูƒุงู†ุŸrandom
1592
+
1593
+ 399
1594
+ 00:33:07,370 --> 00:33:11,350
1595
+ ู‡ุฏูˆู„ุฉ random ูˆ independent ู„ุฃู† ุงู„ needs ุบูŠุฑ ู†ูุณูƒ
1596
+
1597
+ 400
1598
+ 00:33:11,350 --> 00:33:14,470
1599
+ ู‡ุฐุง ุงู„ุณู‡ู… ูˆ ู‡ุฐุง ุงู„ุณู‡ู… ู…ุฎุชู„ู ู…ุฌู…ูˆุนุชู‡ู… ู†ูุณู‡ู… ู…ุฎุชู„ูุฉ
1600
+
1601
+ 401
1602
+ 00:33:14,470 --> 00:33:18,910
1603
+ ูุจุณุฃู„ is there a difference in mean yield ู‡ู„ ููŠ
1604
+
1605
+ 402
1606
+ 00:33:18,910 --> 00:33:23,410
1607
+ ูุฑู‚ ููŠ ุงู„ุฃุฑุจุงุญ ุงู„ู…ูˆุฌูˆุฏุฉ ูŠุนู†ูŠ ุงู„ุฃูˆู„ ุจู‚ู‰ ููŠ ู…ู‚ุตุฏ 3
1608
+
1609
+ 403
1610
+ 00:33:23,410 --> 00:33:28,930
1611
+ .27 ูˆ ุงู„ุชุงู†ูŠ 2.53 ูˆ ุงู„ average ูˆุงุถุญ ุฃู†ู‡ ููŠู‡ ูุฑูˆู‚ุงุช
1612
+
1613
+ 404
1614
+ 00:33:28,930 --> 00:33:33,010
1615
+ ุจูŠู†ู‡ู… ูˆู„ุง ู„ุฃ ู…ุงู‚ุฏุฑุด ุฃุญุฏุฏ ุฅู„ุง ุฃุนู…ู„ testing ูˆุฎู„ู‘ูŠ
1616
+
1617
+ 405
1618
+ 00:33:33,010 --> 00:33:37,280
1619
+ Alpha ุงู„ุณุงูˆู‰ ููŠ five yearsุทูŠุจ ู‡ุฐุง ุงู„ example one
1620
+
1621
+ 406
1622
+ 00:33:37,280 --> 00:33:42,700
1623
+ -tailed or two-tailed? two-tailed ุณุจุจ is there a
1624
+
1625
+ 407
1626
+ 00:33:42,700 --> 00:33:46,460
1627
+ differenceุŸ ููŠู‡ ูุฑู‚ ุจูŠู†ู‡ู…ุŒ ู…ุงุญูƒูŠุด ุฃูƒุจุฑ ูˆ ู„ุง ุฃู‚ู„ุŒ
1628
+
1629
+ 408
1630
+ 00:33:46,460 --> 00:33:49,660
1631
+ ู…ุงุญูƒูŠุด ู…ุซู„ุง ุงู„ู†ุงุณ is greater thanุŒ ู…ุงุญูƒูŠุด ุงู„ู†ุงุณ
1632
+
1633
+ 409
1634
+ 00:33:49,660 --> 00:33:56,020
1635
+ smaller thanุŒ ู‡ู„ ููŠู‡ ูุฑู‚ ุจูŠู†ู‡ู… ูˆ ู„ุง ู„ุฃุŸ ููŠ ุงู„
1636
+
1637
+ 410
1638
+ 00:33:56,020 --> 00:33:59,840
1639
+ meansุŒ ุทูŠุจ mean ูˆ ู„ุง proportionุŸ meanุŒ ูŠุนู†ูŠ ู‡ูˆ
1640
+
1641
+ 411
1642
+ 00:33:59,840 --> 00:34:02,320
1643
+ ูˆุงุถุญุŒ it's a sample of meanุŒ ูู‚ู„ุช ู„ู‡ุง ู…ุณุฃู„ุฉ ูˆุงุถุญุฉ
1644
+
1645
+ 412
1646
+ 00:34:04,370 --> 00:34:11,750
1647
+ ุฅุฐุงู‹ ุฃูˆู„ step ุจู†ุนู…ู„ู‡ุง ูƒุงู„ุนุชูŠุง ุจู†ุนู…ู„ state null and
1648
+
1649
+ 413
1650
+ 00:34:11,750 --> 00:34:15,330
1651
+ alternate hypothesis ุจูƒุชุจ ุงู„ู€ null and alternate
1652
+
1653
+ 414
1654
+ 00:34:15,330 --> 00:34:19,470
1655
+ hypothesis ูŠุนู†ูŠ ุจูƒุชุจ ูุงุฏูŠุฉ ุตูุฑูŠุฉ ูˆุงู„ุจุฏูŠู„ุฉ ุฒูŠ ู…ุง
1656
+
1657
+ 415
1658
+ 00:34:19,470 --> 00:34:26,140
1659
+ ุญูƒูŠุช ู…ุงูƒุงู†ุด ูˆุงุถุญ ุฅู† ููŠ directionูุจุงู„ุชุงู„ูŠ ุจุงุฎุฏู‡ุง ู…ูŠ
1660
+
1661
+ 416
1662
+ 00:34:26,140 --> 00:34:34,400
1663
+ ูˆุงู† ู…ุงูŠู†ูˆุณ ู…ูŠ ุงุชูˆ ูู‡ูˆ ู„ูŠุณ ุงูŠู‚ุงู„ูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1664
+
1665
+ 417
1666
+ 00:34:34,400 --> 00:34:34,500
1667
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1668
+
1669
+ 418
1670
+ 00:34:34,500 --> 00:34:37,760
1671
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1672
+
1673
+ 419
1674
+ 00:34:37,760 --> 00:34:41,260
1675
+ ู†ูุณูŠ
1676
+
1677
+ 420
1678
+ 00:34:41,260 --> 00:34:43,320
1679
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1680
+
1681
+ 421
1682
+ 00:34:43,320 --> 00:34:43,480
1683
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1684
+
1685
+ 422
1686
+ 00:34:43,480 --> 00:34:43,840
1687
+ ู†ูุณูŠ ู†ูุณูŠ
1688
+
1689
+ 423
1690
+ 00:34:48,960 --> 00:34:52,580
1691
+ ุจุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู„ู†ู‚ูˆู… ุจุชุฎุตูŠุต
1692
+
1693
+ 424
1694
+ 00:34:52,580 --> 00:34:55,140
1695
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง ู„ู†ู‚ูˆู… ุจุชุญุณูŠู† ู‚ูŠู…ุฉ SยฒP ู„ุฃู† ููŠ
1696
+
1697
+ 425
1698
+ 00:34:55,140 --> 00:34:59,500
1699
+ ุงู„ุฃูˆู„ ูŠุฌุจ ุฃู† ุฃุญุณุจ SยฒP ุซู… ุฃุนูˆุฏ ููŠู‡ุง ููŠ ุงู„ู…ุนุงุฏู„ุฉ
1700
+
1701
+ 426
1702
+ 00:34:59,500 --> 00:35:07,200
1703
+ ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง ู„ุงู† ู†ุญุณุจ SยฒP ู„ูˆ
1704
+
1705
+ 427
1706
+ 00:35:07,200 --> 00:35:11,080
1707
+ ุฑุฌุนุช ุนู„ู‰ ุงู„ data ู‡ูŠ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุธุจูˆุท ุงู„ N1
1708
+
1709
+ 428
1710
+ 00:35:11,080 --> 00:35:15,120
1711
+ ุงูŠุด ู…ุชุณุงูˆูŠ 21
1712
+
1713
+ 429
1714
+ 00:35:15,120 --> 00:35:21,370
1715
+ minus 1S1ยฒ ุงู„ู„ูŠ ู„ุงุฒู… ุฃุฑุจุญ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ุฏูˆู„ .. ู‡ุฏูˆู„
1716
+
1717
+ 430
1718
+ 00:35:21,370 --> 00:35:24,370
1719
+ ุงู„ู€ sample standard deviation ู…ุธุจูˆุท ุงู„ู„ูŠ ู‡ุฏูˆู„ S
1720
+
1721
+ 431
1722
+ 00:35:24,370 --> 00:35:29,850
1723
+ plus
1724
+
1725
+ 432
1726
+ 00:35:29,850 --> 00:35:39,090
1727
+ N2 25 minus 1 divided
1728
+
1729
+ 433
1730
+ 00:35:39,090 --> 00:35:49,630
1731
+ by N1 plus N2 minus 2ุชุนูˆูŠุถ ู…ุจุงุดุฑ ูˆุงุถุญ ุงู„ุชุนูˆูŠุถ ู„ูˆ
1732
+
1733
+ 434
1734
+ 00:35:49,630 --> 00:35:58,090
1735
+ ุนู…ู„ุชูŠู‡ุง ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ 1.5021 ุฎู„ุงุตุŸ
1736
+
1737
+ 435
1738
+ 00:35:58,090 --> 00:36:04,750
1739
+ ุจุนุฏู‡ุง ุจุญุณุจ ุงู„ T ุงู„ T-stat ุงู„ T-stat ุงู„ู‚ุงู†ูˆู† ู‡ูŠ X1
1740
+
1741
+ 436
1742
+ 00:36:04,750 --> 00:36:13,150
1743
+ bar minus X2 bar X1 bar ูƒุฏู‡ุŸ ู„ูˆ ุฑุฌุนุช ุชุงู†ูŠ 3.27
1744
+
1745
+ 437
1746
+ 00:36:15,660 --> 00:36:26,600
1747
+ -X2 bar 2.53-MU1
1748
+
1749
+ 438
1750
+ 00:36:26,600 --> 00:36:33,440
1751
+ -MU2 ู…ุงุฐุง ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…ุŸ 0 ุฃุนู„ู‰ ู…ู† 0 ู‡ุฐุง ุงู„ูุฑู‚ ู‡ูˆ
1752
+
1753
+ 439
1754
+ 00:36:33,440 --> 00:36:41,140
1755
+ 0 ู…ู‚ูŠู… ู…ู† square root of .. ู„ุง ุชู†ุณู‰ ุฃู† ู‡ู†ุงูƒ S2B
1756
+
1757
+ 440
1758
+ 00:36:42,730 --> 00:36:52,070
1759
+ 1.5 ู‡ูŠ S2B 1 21 plus 1 over 25 ุงู„ู„ูŠ ู‡ูŠุทู„ุน ู…ุนุงูŠุง
1760
+
1761
+ 441
1762
+ 00:36:52,070 --> 00:36:58,090
1763
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ T statistic ุชุญุณุจูŠู‡ุง ุจุฑุงุญุชูƒ 2.05
1764
+
1765
+ 442
1766
+ 00:36:58,090 --> 00:37:06,410
1767
+ ู‡ุฐุง ุงู„ value ู„ T statistic ุฎู„ุงุตุŸ ู„ุฐุง step 1 ูƒุชุงุจุฉ
1768
+
1769
+ 443
1770
+ 00:37:06,410 --> 00:37:09,430
1771
+ ุงู„ null ูˆ ุงู„ alternative hypothesis step 2 ู†ุญู†
1772
+
1773
+ 444
1774
+ 00:37:09,430 --> 00:37:13,100
1775
+ ู†ูƒู…ู„ ู‡ุฐุง ุงู„ statistic in two stepsุจุงุฑูŠุงู†ุงุช ูƒุจูŠุฑุฉ
1776
+
1777
+ 445
1778
+ 00:37:13,100 --> 00:37:19,020
1779
+ ุซู… ู‚ูŠู…ุฉ T ุซุงู†ูˆูŠุฉ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1780
+
1781
+ 446
1782
+ 00:37:19,020 --> 00:37:23,780
1783
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1784
+
1785
+ 447
1786
+ 00:37:23,780 --> 00:37:24,880
1787
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1788
+
1789
+ 448
1790
+ 00:37:24,880 --> 00:37:25,440
1791
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1792
+
1793
+ 449
1794
+ 00:37:25,440 --> 00:37:31,520
1795
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1796
+
1797
+ 450
1798
+ 00:37:31,520 --> 00:37:40,100
1799
+ ุช
1800
+
1801
+ 451
1802
+ 00:37:41,350 --> 00:37:47,590
1803
+ 5% ููŠ ุงู„ู€ alpha over 2 0 to 5 ุนุดุงู† ุชุทู„ุน ุงู„
1804
+
1805
+ 452
1806
+ 00:37:47,590 --> 00:37:52,290
1807
+ critical ู‡ูŠ ุงู„ alpha ููŠ ุงู„ุฃูˆู„ ุงู„ DF ู…ุด ุจุชุณุงูˆูŠ in
1808
+
1809
+ 453
1810
+ 00:37:52,290 --> 00:37:58,450
1811
+ one plus in two minus two ู‡ูŠ in one ุจุชู„ุน
1812
+
1813
+ 454
1814
+ 00:37:58,450 --> 00:38:04,450
1815
+ ุฃุฑุจุน ูˆ ุฃุฑุจุนูŠู† ุฅุฐุง ุฃู†ุง ุจุฑูˆุญ ุนู„ู‰ ุงู„ table ุชุจุน ุงู„ T
1816
+
1817
+ 455
1818
+ 00:38:04,450 --> 00:38:13,250
1819
+ table ุงู‡ ุงู„ T test ู‡ุงูŠ ุงู„ T ุงู„ DF ู…ุน ุงู„ ..ู…ุด ุดูˆุŸ
1820
+
1821
+ 456
1822
+ 00:38:13,250 --> 00:38:18,390
1823
+ ุงู„ table ุงู„ู…ุนู†ู‰ ุจูŠุนุทูŠ ู„ูŠ ุฑู‚ู… ุฏุฑุงูŠุฉ ู…ุด ู‡ูŠูƒ ูˆ my
1824
+
1825
+ 457
1826
+ 00:38:18,390 --> 00:38:21,510
1827
+ left ู†ูุณ ุงู„ุดูŠ ุจุชูƒูˆู† ุจุณ ุจุงู„ negative ููŠ ุงู„ุฃูˆู„ we
1828
+
1829
+ 458
1830
+ 00:38:21,510 --> 00:38:25,790
1831
+ locate the degrees of freedom ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนูŠู† ู…ุด
1832
+
1833
+ 459
1834
+ 00:38:25,790 --> 00:38:28,950
1835
+ ู‡ูŠูƒ ุงู„ table ู…ุงุจูŠุนุทูŠู‡ุด ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนูŠู† ู…ุงุจูŠุนุทูŠู‡
1836
+
1837
+ 460
1838
+ 00:38:28,950 --> 00:38:34,010
1839
+ ุฃุฑุจุนูŠู† ูˆ ุฎู…ุณูŠู† ููŠ ุจุนุถ ุงู„ tables ุจุชุจุนุช ุฃุฑุจุนูŠู† ูˆ
1840
+
1841
+ 461
1842
+ 00:38:34,010 --> 00:38:37,200
1843
+ ูˆุงุญุฏ ูˆ ุฃุฑุจุนูŠู† ู„ุบุงูŠุฉ ุฒูŠ ู…ุง ุฃู†ุง ู…ุงุดูŠ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉุจุณ
1844
+
1845
+ 462
1846
+ 00:38:37,200 --> 00:38:41,520
1847
+ ุชุจู‚ู‰ ุนู†ุฏู‰ ู…ุนุทู‰ ุฃุฑุจุนูŠู† ูˆู…ุนุทู‰ ุฎู…ุณูŠู† ุฎุฏ ุฃู‚ุฑุจ ูˆุงุญุฏุฉ
1848
+
1849
+ 463
1850
+ 00:38:41,520 --> 00:38:45,020
1851
+ ุฅู„ูŠูƒ ุจู†ุงุฎุฏู‡ุง ู„ุฃุฑุจุนูŠู† ุงู„ุฌูˆุงุจ ู‡ูŠุทู„ุน ู…ุนุงูŠุง
1852
+
1853
+ 464
1854
+ 00:38:45,020 --> 00:38:48,380
1855
+ approximate result ู…ู…ูƒู† ุงู„ูƒุชุงุจ ูŠุนุทูŠ ุงู„ exact one
1856
+
1857
+ 465
1858
+ 00:38:48,380 --> 00:38:52,320
1859
+ ู…ุด ู…ุดูƒู„ุฉ ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุจูŠู†ู‡ู… ุฎุฏ ุฃุฑุจุนูŠู† ุฃูˆ ุฎู…ุณูŠู† ุฎุฏ
1860
+
1861
+ 466
1862
+ 00:38:52,320 --> 00:38:57,260
1863
+ ุฃุฑุจุนูŠู† ูˆAlpha over two ู…ุด ู…ุชุณุงูˆูŠ ุงู„ upper tail
1864
+
1865
+ 467
1866
+ 00:38:57,260 --> 00:39:03,820
1867
+ probability 0 to 5 ู…ุด ู‡ูŠูƒ ู…ุด ู‡ูŠ 5% ุนู„ู‰ ุงู„ 2 0 to 5
1868
+
1869
+ 468
1870
+ 00:39:03,820 --> 00:39:06,100
1871
+ ู„ูˆ ู…ุดูŠุช ู…ุนุงูŠุง ุงู„ุฃุฑุจุนูŠู†
1872
+
1873
+ 469
1874
+ 00:39:09,150 --> 00:39:13,410
1875
+ ู…ุธุจูˆุท ู‡ูŠูƒ ูŠุนู†ูŠ 2.021 ุฅุฐุง ุงู„ point ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ
1876
+
1877
+ 470
1878
+ 00:39:13,410 --> 00:39:19,350
1879
+ ุงูƒุฑุชูƒ ู‡ูŠ 2.021 ุทุจ ู‡ุฐุง approximately ุฅุฐุง
1880
+
1881
+ 471
1882
+ 00:39:19,350 --> 00:39:22,750
1883
+ ุทู„ุนุชู‡ุง ุงู„ approximate answer ุฎุฏ ุจุงู„ูƒ ุงุณุชุฎุฏุงู… ุงู„
1884
+
1885
+ 472
1886
+ 00:39:22,750 --> 00:39:25,810
1887
+ table ุงู„ูŠูˆู… ุฒูŠ ู…ุง ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ู‡ูŠูƒ ู†ูุณ ุงู„ุฌุซุฉ ุจุณ
1888
+
1889
+ 473
1890
+ 00:39:25,810 --> 00:39:30,750
1891
+ ุงุฎุชู„ู ุงู„ DF ุงู„ DF 40 ุฃูˆ 50 ู„ุญุธุฉ ู„ูˆ ุฃุฎุฏุช ุงู„ 50
1892
+
1893
+ 474
1894
+ 00:39:30,750 --> 00:39:38,250
1895
+ ุจูŠุทู„ุน 2.009 ูุงู‡ู…ุด ูƒุจูŠุฑ ู‡ูŠ ุนุงู„ุฌุงูŠุฉ ุจูŠู† ุงู„ุฅุชู†ูŠู†ุจูŠู†
1896
+
1897
+ 475
1898
+ 00:39:38,250 --> 00:39:45,450
1899
+ ุงู„ู€ 2.2009 ูˆ 2.021 ู…ุด ู‡ุชูุฑุฌ ูƒุชูŠุฑ ุจุงู„ุงุชู†ูŠู† ุงู„ุงู†
1900
+
1901
+ 476
1902
+ 00:39:45,450 --> 00:39:50,130
1903
+ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู† ุงู†ุง ุงุนู…ู„ุช ุงู„ location ู„ู„ critical
1904
+
1905
+ 477
1906
+ 00:39:50,130 --> 00:39:55,230
1907
+ values why it is statistic ุงู„ุงู† ู†ุณุฃู„ ู†ูุณูƒ is the
1908
+
1909
+ 478
1910
+ 00:39:55,230 --> 00:40:03,100
1911
+ valueู‡ูˆ ู‚ูŠู…ุฉ ุชู‚ุน
1912
+
1913
+ 479
1914
+ 00:40:03,100 --> 00:40:07,120
1915
+ ุฌูˆุงู‡ูŠู† ุงูˆ ุชู‚ุน ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ ุงุฐุง ูˆู‚ุนุช ูˆุงุญุฏุฉ ู…ู†ู‡ู…
1916
+
1917
+ 480
1918
+ 00:40:07,120 --> 00:40:11,300
1919
+ ุฎู„ุงุต ููŠู‡ reject rejection right ูˆ rejection left
1920
+
1921
+ 481
1922
+ 00:40:11,300 --> 00:40:19,730
1923
+ ูˆุงุถุญ 2.04 ุงูƒุจุฑ ูˆู„ุง ู…ุดูƒู„ุฉ ุงูƒุจุฑ 2.04ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† 2
1924
+
1925
+ 482
1926
+ 00:40:19,730 --> 00:40:25,550
1927
+ .01 ุฃู†ุง ุนู†ุฏ 2.02 ู‡ู†ุง ุชู‚ุฑูŠุจุง 2.015 ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู…ุด
1928
+
1929
+ 483
1930
+ 00:40:25,550 --> 00:40:32,950
1931
+ ูƒุจูŠุฑ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุฃู†ุง ุทู„ุนุช ู‡ูŠูƒ 2.01 ุงู„ูุฑู‚ ูˆุงุถุญ
1932
+
1933
+ 484
1934
+ 00:40:32,950 --> 00:40:37,210
1935
+ ู…ุนุงู‡ู… ู…ุด ูƒุจูŠุฑ ุงู„ุฃูˆู„ ุฃูˆ ุงู„ุชุงู†ูŠ ูˆุงุถุญ ุงู† this value
1936
+
1937
+ 485
1938
+ 00:40:37,210 --> 00:40:40,400
1939
+ ู…ูˆุฌูˆุฏุฉ ุจูŠู†ููŠ ุงู„ู€ rejection region ููŠ ุงู„ู€ rejection
1940
+
1941
+ 486
1942
+ 00:40:40,400 --> 00:40:44,480
1943
+ region ุฅุฐุง ุฅูŠุด ุงู„ decisionุŸ Reject ู„ุงู†ู‡ุง ู„ุง
1944
+
1945
+ 487
1946
+ 00:40:44,480 --> 00:40:49,600
1947
+ hypothesis ุฅุฐุง ู†ุญู† ู†ุฑูุน ุงู„ู€ zero at 5% level ุทูŠุจ
1948
+
1949
+ 488
1950
+ 00:40:49,600 --> 00:40:54,980
1951
+ ุฅูŠุด ุงู„ conclusionุŸ there is sufficient evidence of
1952
+
1953
+ 489
1954
+ 00:40:54,980 --> 00:40:59,500
1955
+ difference in means ููŠู‡ุง ุฏู„ุฉ ุฏุงุนู…ุฉ ุฃู†ู‡ ููŠ ูุฑู‚
1956
+
1957
+ 490
1958
+ 00:40:59,500 --> 00:41:06,160
1959
+ ู…ุชูˆุณุทุฉ ุทูŠุจ ุงู„ูุฑู‚ ุงู„ุตุงู„ุญ ู…ูŠู†ุŸ ู„ู„ู†ุงุณ ูˆู„ุง ู„ู„ู†ุงุณ ุฏุงูƒุŸ
1960
+
1961
+ 491
1962
+ 00:41:06,160 --> 00:41:10,960
1963
+ ุงุญู†ุง ุจุฏุฃู†ุง ุจู…ูŠู†ุŸููŠ ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุญู„ู†ุง ุจุฏูŠู†ุง ุจุงู„ุฃูˆู„ู‰
1964
+
1965
+ 492
1966
+ 00:41:10,960 --> 00:41:15,280
1967
+ ู†ู‡ุงูŠุฉ ู†ูŠุณุŒ ู…ุธุจูˆุทุŸ ุทุจ ุงู„ .. ุงู„ T positive ูˆู„ุง
1968
+
1969
+ 493
1970
+ 00:41:15,280 --> 00:41:23,180
1971
+ negativeุŸ positive ู…ุน ูƒุฏู‡ ูŠุงุดูŠ ุงู„ ู†ูŠุณ ุฃูƒุจุฑุŒ ู…ุน ูƒุฏู‡
1972
+
1973
+ 494
1974
+ 00:41:23,180 --> 00:41:27,720
1975
+ ุงู„ yield ุชุจุน ุงู„ stock ุชุจุน ุงู„ ู†ูŠุณ is greater ุฏู‡ ุนู†
1976
+
1977
+ 495
1978
+ 00:41:27,720 --> 00:41:30,920
1979
+ ุงู„ู†ุงุณ ุฏู‡ุŒ ู„ุฃู† ุงู„ T is positiveุŒ ู„ูˆ ูƒุงู†ุช negative
1980
+
1981
+ 496
1982
+ 00:41:30,920 --> 00:41:36,260
1983
+ ูŠูƒูˆู† ุงู„ุนูƒุณููŠ ู‡ุฐู‡ ุงู„ู…ุซู„ุฉุŒ ุงู„ู†ุชูŠุฌุฉ ูƒุงู†ุช ุชุงู„ูŠุฉุŒ ุจู…ุง
1984
+
1985
+ 497
1986
+ 00:41:36,260 --> 00:41:39,080
1987
+ ุฃู† ู‚ูŠู…ุฉ ุงู„ุงู†ุชุฌุงุฑุงุช ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉุŒ
1988
+
1989
+ 498
1990
+ 00:41:39,080 --> 00:41:41,280
1991
+ ุซู… ู†ู†ูุฐ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
1992
+
1993
+ 499
1994
+ 00:41:41,280 --> 00:41:43,160
1995
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ูŠูˆุฌุฏ ูˆุซู‚ุงูุฉ
1996
+
1997
+ 500
1998
+ 00:41:43,160 --> 00:41:46,640
1999
+ ูƒุงููŠุฉ ููŠ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2000
+
2001
+ 501
2002
+ 00:41:46,640 --> 00:41:46,680
2003
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2004
+
2005
+ 502
2006
+ 00:41:46,680 --> 00:41:47,380
2007
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2008
+
2009
+ 503
2010
+ 00:41:47,380 --> 00:41:53,900
2011
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2012
+
2013
+ 504
2014
+ 00:41:53,900 --> 00:41:57,700
2015
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2016
+
2017
+ 505
2018
+ 00:41:57,700 --> 00:42:00,900
2019
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑ
2020
+
2021
+ 506
2022
+ 00:42:01,970 --> 00:42:06,750
2023
+ ูˆ ุจุนุฏู‡ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ decision ุงู† ู‡ูˆ reject ูˆ ุงู„
2024
+
2025
+ 507
2026
+ 00:42:06,750 --> 00:42:12,190
2027
+ conclusion ุงู†ู‡ ููŠู‡ ูุฑู‚ ุงูˆ ู…ุงููŠุดุŒ ููŠ ุงูŠ ุณุคุงู„ุŸ ู„ุฃ ู„ุฃ
2028
+
2029
+ 508
2030
+ 00:42:12,190 --> 00:42:14,970
2031
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2032
+
2033
+ 509
2034
+ 00:42:14,970 --> 00:42:15,070
2035
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2036
+
2037
+ 510
2038
+ 00:42:15,070 --> 00:42:16,190
2039
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2040
+
2041
+ 511
2042
+ 00:42:16,190 --> 00:42:17,250
2043
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2044
+
2045
+ 512
2046
+ 00:42:17,250 --> 00:42:25,050
2047
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2048
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/VL7Uof7K6oY.srt ADDED
@@ -0,0 +1,1561 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:25,290
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:25,290 --> 00:00:30,470
7
+ chapter seven before that I will just mention that
8
+
9
+ 3
10
+ 00:00:30,470 --> 00:00:34,710
11
+ on Saturday we will have the first quiz on chapter
12
+
13
+ 4
14
+ 00:00:34,710 --> 00:00:39,110
15
+ seven ุฅุฐู‹ุง ุงู„ูŠูˆู… ุงู„ุณุจุช ู‡ู†ุงุฎุฏ ุงู„ quiz ุฑู‚ู… ูˆุงุญุฏ ููŠ
16
+
17
+ 5
18
+ 00:00:39,110 --> 00:00:43,670
19
+ chapter ุณุจุนุฉ ุจุนุฏ ู‡ูŠูƒ ู‡ูŠูƒูˆู† ุนู†ุฏู†ุง quiz ูƒู„ ู†ู‡ุงูŠุฉ
20
+
21
+ 6
22
+ 00:00:43,670 --> 00:00:48,520
23
+ ุงู„ุฃุณุจูˆุน ูŠุนู†ูŠ ู…ุด ุงู„ุฃุฑุจุน ุงู„ู‚ุงุฏู… ุงู„ู„ูŠ ุจุนุฏู‡ ู‡ูŠูƒูˆู† ุนู†ุฏูƒ
24
+
25
+ 7
26
+ 00:00:48,520 --> 00:00:55,300
27
+ quiz ูƒู„ ุฃุณุจูˆุน ุฎู„ุงุต ูƒู„ .. ูƒู„ ุฃุณุจูˆุน ู…ุด ูƒู„ chapter
28
+
29
+ 8
30
+ 00:00:55,300 --> 00:00:59,620
31
+ ุงู„ู…ุฑุงุฏ ุฃู†ู‡ุง ุดู‡ุฑ ุชุงุณุนุฉ ู„ูƒู† ุงู„ู„ู‚ุงุกุงุช ุงู„ุฌุงูŠุฉ
32
+
33
+ 9
34
+ 00:00:59,620 --> 00:01:05,000
35
+ ู‡ูŠูƒูˆู† ูŠูˆู… ุงู„ุฃุฑุจุนุงุก ูƒู„ ุฃุณุจูˆุน ููŠ quizุŒ ุงู„ quiz ู‡ูŠูƒูˆู†
36
+
37
+ 10
38
+ 00:01:05,000 --> 00:01:09,220
39
+ ููŠ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุจูŠุบุทูŠู‡ุง ุจุนุฏ ุงู„ quiz ุงู„ุณุงุจู‚ุŒ ูŠุนู†ูŠ ุงู„
40
+
41
+ 11
42
+ 00:01:09,220 --> 00:01:12,240
43
+ quiz ูˆุงุญุฏ ู‡ูŠูƒูˆู† ููŠ chapter ุณุจุนุฉุŒ ุงู„ quiz ู„ู„ุฃุฑุจุนุงุก
44
+
45
+ 12
46
+ 00:01:12,240 --> 00:01:18,980
47
+ ุจุนุฏ ุงู„ู‚ุงุฏู… ู‡ูŠูƒูˆู† ู‡ูˆ ู†ุฎู„ุตู†ุง ููŠ ุชุณุนุฉุŒ ูˆุงุถุญุŸ ูˆุงู„ูƒู„ุงู…
48
+
49
+ 13
50
+ 00:01:18,980 --> 00:01:21,860
51
+ ุฏู‡ ู‡ูŠูƒูˆู† ูƒู„ ุฃุณุจูˆุนุŒ ู…ุนุงุฏ ุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู… ู…ุงูŠูƒูˆู†ุด ููŠู‡
52
+
53
+ 14
54
+ 00:01:21,860 --> 00:01:26,260
55
+ ุฃุฑุจุนุงุกุŒ ู‡ูŠูƒูˆู† ูŠูˆู… ุงู„ุณุจุช ู„ูƒู† ุชู…ุงู…ู‹ุง ุจุนุฏ ุงู„ุฃุณุจูˆุน ุงู„ู‚ุงุฏู…
56
+
57
+ 15
58
+ 00:01:26,260 --> 00:01:29,920
59
+ ู‡ูŠูƒูˆู† ูƒู„ ุฃุณุจูˆุน ููŠ a quizุŒ ู…ู† ุบูŠุฑ ู…ุญูƒู…ุฉ ูŠุนู†ูŠ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:29,920 --> 00:01:33,120
63
+ ูŠูƒูˆู† ุงู„ุณุจุช ูˆุงู„ุฃุฑุจุนุงุกุŸ ุฃูŠ ุฎู„ .. ู„ุฃ ู…ุด ุณุจุช ูˆุฃุฑุจุนุงุกุŒ
64
+
65
+ 17
66
+ 00:01:33,120 --> 00:01:36,340
67
+ ุงู„ุฃุณุจูˆุน ุงู„ู„ูŠ ุฌุงูŠ ุณุจุช ุจุณุŒ ุงู„ุฃุณุจูˆุน ุงู„ู„ูŠ ุฌุงูŠ ุจุณ ุงู„ุณุจุช
68
+
69
+ 18
70
+ 00:01:36,340 --> 00:01:39,100
71
+ ุงู„ุฃุณุจูˆุน ุงู„ู„ูŠ ูˆุฑุงู‡ ุงู„ุฃุฑุจุนุงุกุŒ ุงู„ุฃุณุจูˆุน ุงู„ู„ูŠ ูˆุฑุงู‡ ุงู„ุฃุฑุจุนุงุก
72
+
73
+ 19
74
+ 00:01:39,100 --> 00:01:43,140
75
+ ู…ููŠุดุŒ ุงู„ุฃุณุจูˆุน ุงู„ู„ูŠ ุฌุงูŠ .. ุงู„ู„ูŠ ูŠูˆู… ุงู„ุฃุฑุจุนุงุก ุงู„ู„ูŠ ุฌุงูŠ
76
+
77
+ 20
78
+ 00:01:43,140 --> 00:01:52,000
79
+ ู…ููŠุดุŒ ูˆุงู„ู„ูŠ ุจุนุฏู‡ ููŠู‡ ูˆู…ู† ุฎู„ุต ุจุนุฏ ุณุจุนุฉ ูŠุนู†ูŠ ูƒู„ ู…ุงุฏุฉ ุฌุฏูŠุฏุฉ
80
+
81
+ 21
82
+ 00:01:52,000 --> 00:02:00,580
83
+ ุจู†ุฎู„ุตู‡ุงุŒ ุงู„ูƒู„ุงู… ุงู„ุขู† ูˆุงุถุญุŸ ุทุจุนู‹ุง ุงู„ุบุงูŠุจ ุจุชุจู„ุบูˆู‡ุŒ ุดุจุชุฑ
84
+
85
+ 22
86
+ 00:02:00,580 --> 00:02:04,680
87
+ ุณุจุนุฉุŒ ุดุจุชุฑ ุณุจุนุฉุŒ ุฎู„ุงุต is a requisite subject ุฏุงุฎู„
88
+
89
+ 23
90
+ 00:02:04,680 --> 00:02:10,180
91
+ ููŠู‡ุŒ ุดุจุชุฑ ุณุจุนุฉ ุงู„ุฃุณุจูˆุน ุงู„ู‚ุงุฏู… ุงู„ quiz ูˆุงุญุฏ ุจุณ ูˆู…ู†
92
+
93
+ 24
94
+ 00:02:10,180 --> 00:02:13,300
95
+ ุงู„ู„ูŠ ุจุนุฏู‡ ูƒู„ ุฃุณุจูˆุน ููŠู‡ quiz ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ูŠูˆู…
96
+
97
+ 25
98
+ 00:02:13,300 --> 00:02:16,460
99
+ ุงู„ุฃุฑุจุนุงุก ุนู„ู‰ ุทูˆู„ ููŠ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุจู†ุบุทูŠู‡ุง ุจุนุฏ ุงู„ quiz
100
+
101
+ 26
102
+ 00:02:16,460 --> 00:02:21,380
103
+ ูˆุงุถุญ ู‡ูŠูƒุŸ ุทุจุนู‹ุง ุงู„ุณุจุจ ุงู„ู„ูŠ ุฃู†ุง ู„ุงุญุธุชู‡ ุงู„ู…ุณุชูˆู‰ ุถุนูŠู
104
+
105
+ 27
106
+ 00:02:21,380 --> 00:02:26,580
107
+ ูˆุฃู†ุง ุจุดุฑุญุŒ ูŠุนู†ูŠ ูˆุงุถุญ ุงู„ูˆุถุน ู…ุด ูƒุชูŠุฑ ุฌูŠุฏ ุณูˆุงุก ุนู†ุฏูƒู…
108
+
109
+ 28
110
+ 00:02:26,580 --> 00:02:29,880
111
+ ุฃูˆ ุนู†ุฏ ุงู„ุทู„ุงุจุŒ ูุจุงู„ุชุงู„ูŠ ุฃุญุณู† ุงู„ู…ุณุชูˆู‰ ู„ุงุฒู… ุงู„ุญู„
112
+
113
+ 29
114
+ 00:02:29,880 --> 00:02:34,320
115
+ ุงู„ูˆุญูŠุฏ ุฃุนุทูŠ quizzes ููŠ ูƒู„ ุฃุณุจูˆุน quiz ูˆููŠ ู†ู‡ุงูŠุฉ ูƒู„
116
+
117
+ 30
118
+ 00:02:34,320 --> 00:02:39,030
119
+ chapter ููŠ assignment ูˆุจุนุฏู‡ุง ุงู…ุชุญุงู†ูŠู†ุŒ ูŠุนู†ูŠ ู…ุด
120
+
121
+ 31
122
+ 00:02:39,030 --> 00:02:41,770
123
+ ุฑุงุญ ุชูƒูˆู† ุฅู† ุดุงุก ุงู„ู„ู‡ ุฃุญุณู†ุŒ ู„ูƒู† ุฃุณูŠุจูƒู… ุนู„ู‰ ุญุงู„ูƒู… ุฒูŠ
124
+
125
+ 32
126
+ 00:02:41,770 --> 00:02:46,570
127
+ ู‡ูŠูƒ ู„ุฃุŒ ุฃู†ุง ุจุฏุฃุช ุฃุฎูู ู…ู† ุนุฏุฏ ุงู„ุณุงุนุงุช ุงู„ู„ูŠ ุจุชู‚ุถูŠู‡ุง
128
+
129
+ 33
130
+ 00:02:46,570 --> 00:02:52,950
131
+ ุนู„ู‰ ุงู„ููŠุณุจูˆูƒ ุนู„ู‰ ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู†ุŒ ุทุจุนู‹ุง ุนู„ู‰
132
+
133
+ 34
134
+ 00:02:52,950 --> 00:02:56,830
135
+ ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู†ุŒ ุฎู„ุงุตุŸ
136
+
137
+ 35
138
+ 00:02:56,830 --> 00:03:03,230
139
+ ููŠ ุฃูŠ ุชุนู„ูŠู‚ุŸ ุฃูŠ ุญุฏ ุนู†ุฏู‡ ู…ู„ุงุญุธุฉ ุฃูˆ ุงุนุชุฑุงุถุŸ ูŠุนู†ูŠ
140
+
141
+ 36
142
+ 00:03:03,230 --> 00:03:04,170
143
+ ู…ุชูู‚ูŠู†ุŸ
144
+
145
+ 37
146
+ 00:03:07,180 --> 00:03:13,080
147
+ ู†ุนู…ุŒ ู‡ุฎู„ูŠ ุจุงู„ูƒ ุงู„ู„ูŠ ุงู„ quizzes ุนู„ูŠู‡ุง 10%ุŒ ู‡ุงุฎุฏ ุงู„ุนุดุฑุฉ
148
+
149
+ 38
150
+ 00:03:13,080 --> 00:03:15,940
151
+ ู…ู† ุงู„ู†ู‡ุงุฆูŠุŒ ู…ู† ุงู„ final examุŒ ูŠุนู†ูŠ ุงู„ final ู„ูˆ ุนู„ูŠู‡ุง
152
+
153
+ 39
154
+ 00:03:15,940 --> 00:03:23,320
155
+ ุฎู…ุณูŠู† ู‡ุฎู„ูŠ ุงู„ final ุนู„ูŠู‡ุง 40 ุจุณุŒ ูˆุงุถุญุŸ ุทุจุนู‹ุง
156
+
157
+ 40
158
+ 00:03:23,320 --> 00:03:26,860
159
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจุญูƒูŠู‡ ู…ุด ุงุฎุชูŠุงุฑูŠ ูŠุนู†ูŠ ุฅุฌุจุงุฑูŠุŒ ุทุจุนู‹ุง ุฃู†ุง
160
+
161
+ 41
162
+ 00:03:26,860 --> 00:03:34,020
163
+ ู…ุง ุจุงุฎุฏุด ุฑุฃูŠูƒ ููŠ ู…ูˆุถูˆุน ุงู„ quiz ูˆู„ุง ู„ุฃุŸ ู‡ู†ูƒู…ู„
164
+
165
+ 42
166
+ 00:03:34,020 --> 00:03:38,000
167
+ ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชูƒู„ู… ุนู„ู‰ ุงู„ู€ sampling
168
+
169
+ 43
170
+ 00:03:38,000 --> 00:03:44,560
171
+ distribution
172
+
173
+ 44
174
+ 00:03:44,560 --> 00:04:01,360
175
+ of the sampling of the sample proportion ุจูŠู‡
176
+
177
+ 45
178
+ 00:04:01,360 --> 00:04:06,940
179
+ ู‡ู†ุง ู†ุญู† ู„ุฏูŠู†ุง ู†ูุณ ู…ุง ูุนู„ู†ุงู‡ ุจุงู„ุถุจุท ู„ู€ุงู„ู€ sample ูŠุนู†ูŠ
180
+
181
+ 46
182
+ 00:04:06,940 --> 00:04:14,080
183
+ ุฃู†ู†ุง ุณู†ุญุตู„ ุนู„ู‰ ุฃุฏุงุก ุฌุฏูŠุฏ ูŠุณู…ู‰ ุจุงูŠ ูˆู‡ูˆ ุชุณู…ู‰ ุจุงูŠ
184
+
185
+ 47
186
+ 00:04:14,080 --> 00:04:18,640
187
+ ุชุนุฑู ุงู„ ุจุงูŠุŒ ุจุงูŠ ู‡ูˆ ู…ุฌุฑุฏ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
188
+
189
+ 48
190
+ 00:04:18,640 --> 00:04:20,280
191
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
192
+
193
+ 49
194
+ 00:04:20,280 --> 00:04:23,920
195
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
196
+
197
+ 50
198
+ 00:04:23,920 --> 00:04:24,040
199
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
200
+
201
+ 51
202
+ 00:04:24,040 --> 00:04:24,100
203
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
204
+
205
+ 52
206
+ 00:04:27,380 --> 00:04:32,900
207
+ ุจุนุฏ ุชู‚ุฑูŠุฑ ุงู„ู…ุฌุชู…ุน ู„ุฏูŠู‡ ุจุนุถ ุงู„ุชูุงุตูŠู„ ู…ุซู„ู‹ุง ูƒู…ุง ุฐูƒุฑู†ุง
208
+
209
+ 53
210
+ 00:04:32,900 --> 00:04:38,420
211
+ ููŠ ุงู„ุณุงุจู‚ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† number of students who pass
212
+
213
+ 54
214
+ 00:04:38,420 --> 00:04:43,560
215
+ the course or pass the statistics course ุฃูˆ number
216
+
217
+ 55
218
+ 00:04:43,560 --> 00:04:49,500
219
+ of sale persons in a company ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ุชู‚ุฑูŠุฑ
220
+
221
+ 56
222
+ 00:04:49,500 --> 00:04:57,070
223
+ ุนุงุฆู„ุฉ ูŠุนุทูŠ ุงุฎุชูŠุงุฑ ุจูŠ ููŠ ุงู„ูˆุงู‚ุน ููŠ ุงู„ุญู‚ูŠู‚ุฉ ู‡ุฐุง ุจูŠ
224
+
225
+ 57
226
+ 00:04:57,070 --> 00:05:01,930
227
+ ุบูŠุฑ ู…ุนุฑูˆู ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:05:01,930 --> 00:05:06,270
231
+ ููŠ ุญุงู„ุงุช ุญู‚ูŠู‚ูŠุฉ ููŠ ู…ุนู†ู‰ ูุนุงู„ ู‡ุฐุง ุจูŠ ุบูŠุฑ ู…ุนุฑูˆู ู„ูŠุณ
232
+
233
+ 59
234
+ 00:05:06,270 --> 00:05:11,850
235
+ ู…ู…ู†ูˆุญ ู„ู†ุง ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุฎุชู… ู‡ุฐุง ุจูŠุŒ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฎุชู…ู‡ ุจูŠ
236
+
237
+ 60
238
+ 00:05:11,850 --> 00:05:18,210
239
+ ุจุงุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ ุจูŠุŒ ุงู„ู…ุฌู…ูˆุนุฉ ุจูŠ ู‡ุฐุง ุจูŠ ูŠุณู…ู‰ ู…ุฌู…ูˆุนุฉ
240
+
241
+ 61
242
+ 00:05:18,210 --> 00:05:19,230
243
+ ุฃูˆ ู…ุฌู…ูˆุนุฉ
244
+
245
+ 62
246
+ 00:05:24,060 --> 00:05:29,480
247
+ ุงู„ู†ุณุจุฉ ู‡ูŠ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ
248
+
249
+ 63
250
+ 00:05:29,480 --> 00:05:29,540
251
+ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ
252
+
253
+ 64
254
+ 00:05:29,540 --> 00:05:31,240
255
+ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ
256
+
257
+ 65
258
+ 00:05:31,240 --> 00:05:33,220
259
+ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ
260
+
261
+ 66
262
+ 00:05:33,220 --> 00:05:35,320
263
+ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ
264
+
265
+ 67
266
+ 00:05:35,320 --> 00:05:35,520
267
+ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ
268
+
269
+ 68
270
+ 00:05:35,520 --> 00:05:37,460
271
+ ู„ู„ุนูŠู†ุงุช ุฃูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช
272
+
273
+ 69
274
+ 00:05:40,300 --> 00:05:44,480
275
+ ุงู„ู†ุณุจุฉ ู„ู„ุทู„ุงุจ ุงู„ู„ูŠ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ
276
+
277
+ 70
278
+ 00:05:44,480 --> 00:05:49,100
279
+ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† 30 ุทุงู„ุจู‹ุง
280
+
281
+ 71
282
+ 00:05:49,100 --> 00:05:53,640
283
+ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ
284
+
285
+ 72
286
+ 00:05:53,640 --> 00:05:57,860
287
+ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† 30 ุทุงู„ุจู‹ุง ู‚ู…ุช ุจู…ุฌุงุฑุฉ
288
+
289
+ 73
290
+ 00:05:57,860 --> 00:05:58,900
291
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† 30 ุทุงู„ุจู‹ุง ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ
292
+
293
+ 74
294
+ 00:05:58,900 --> 00:05:58,940
295
+ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„
296
+
297
+ 75
298
+ 00:05:58,940 --> 00:05:59,280
299
+ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† 30 ุทุงู„ุจู‹ุง ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ
300
+
301
+ 76
302
+ 00:05:59,280 --> 00:05:59,980
303
+ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู‚ุชุตุงุฏ
304
+
305
+ 77
306
+ 00:05:59,980 --> 00:06:03,490
307
+ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏุŒ ุนุงุฏุฉ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุฃูˆ
308
+
309
+ 78
310
+ 00:06:03,490 --> 00:06:08,770
311
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ 1ุŒ ุฏุนู†ุง ู†ุณู…ูŠู‡ุง ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
312
+
313
+ 79
314
+ 00:06:08,770 --> 00:06:13,030
315
+ ุนู„ู‰ ู†ุณุจุฉ ุฒูŠ ุงู„ุจุฑุณู†ุชุฌ ููŠ ุงู„ุณุชุงุชูŠุณุชูƒ ุจู†ุณู…ูŠู‡ุง ู…ู‚ุงุฑู†ุฉ
316
+
317
+ 80
318
+ 00:06:13,030 --> 00:06:20,970
319
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงุฏุฉ ุจูŠู† 0 ูˆ 1ุŒ ู„ุฐู„ูƒ ู‡ูŠ ู‚ูŠู…ุฉ ุบูŠุฑ ู†ุงุฌุญุฉ
320
+
321
+ 81
322
+ 00:06:20,970 --> 00:06:28,110
323
+ ุจูŠู† 0 ูˆ 1ุŒ ุงู„ุขู† ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ู‚ุงุฑู†ุฉ Z ู„ูƒู† ุนู„ูŠู†ุง
324
+
325
+ 82
326
+ 00:06:30,110 --> 00:06:33,850
327
+ ุงู„ุชุฃูƒุฏ ุฃู† ุจุนุถ ุงู„ูˆุงุถุญุงุช ู…ูู‡ูˆู…ุฉุŒ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฃู†ู†ุง
328
+
329
+ 83
330
+ 00:06:33,850 --> 00:06:35,990
331
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€ Central Limit Theorem ุฅุฐุง ูƒุงู†
332
+
333
+ 84
334
+ 00:06:35,990 --> 00:06:39,590
335
+ ุงู„ู€ N ูƒุจูŠุฑ ุจู…ุง ูŠูƒููŠุŒ ูˆู†ุญู† ู†ุชุฃูƒุฏ ู…ู† ูƒู… ูƒุจูŠุฑ ูƒูุงูŠุฉ
336
+
337
+ 85
338
+ 00:06:39,590 --> 00:06:42,670
339
+ ูƒูุงูŠุฉ ูƒูุงูŠุฉ ุฅุฐุง ูƒุงู† ุงู„ู€ N ุฃูƒุจุฑ ู…ู† 30 ูˆู‡ูˆ ู…ุง ูƒุงู†
340
+
341
+ 86
342
+ 00:06:42,670 --> 00:06:46,030
343
+ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Sample MeansุŒ ุงู„ุฎุฏุงุฉ ุงู„ุฃูˆู„ู‰ ุนู„ู‰ ุงู„ู€
344
+
345
+ 87
346
+ 00:06:46,030 --> 00:06:49,550
347
+ Sample Mean ูƒุงู†ุช N ูƒุจูŠุฑุฉ ุชูƒูˆู† N ุฃูƒุจุฑ ู…ู† 30 ู„ู€ for
348
+
349
+ 88
350
+ 00:06:49,550 --> 00:06:53,030
351
+ most distributions ูƒู…ุง ุฐูƒุฑู†ุง ุฃูŠุถู‹ุง ู„ู€ Fair
352
+
353
+ 89
354
+ 00:06:53,030 --> 00:06:57,640
355
+ Distribution ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 15ุŒ ุงู„ุขู† ู„ู„ู…ู‚ุงุฑู†ุฉ
356
+
357
+ 90
358
+ 00:06:57,640 --> 00:07:04,000
359
+ ู„ุฏูŠู†ุง ุญุงู„ุฉ ู…ุฎุชู„ูุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู… ุจุชู‚ุฑูŠุฑ ู‡ุฐู‡
360
+
361
+ 91
362
+ 00:07:04,000 --> 00:07:08,760
363
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุฅู„ู‰ ู…ู‚ุงุฑู†ุฉ ุนุงุฏูŠุฉ ุฅุฐุง ูƒุงู†ุช ู„ุฏูŠู†ุง ุงุซู†ูŠู†
364
+
365
+ 92
366
+ 00:07:08,760 --> 00:07:15,380
367
+ ุญุงู„ุงุชุŒ ุฑู‚ู… ูˆุงุญุฏ n ู…ุฑุฉ ุจูŠ ู‡ูˆ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณุฉุŒ n ู…ุฑุฉ ุจูŠ
368
+
369
+ 93
370
+ 00:07:15,380 --> 00:07:20,000
371
+ ู‡ูˆ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉุŒ ุจูŠ ู‡ูˆ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
372
+
373
+ 94
374
+ 00:07:26,860 --> 00:07:30,200
375
+ ุฅุฐุง ุฏูˆู„ ุงู„ conditions ุงู„ู„ูŠ ุนู†ุฏูƒ ุจุฏู„ ู…ุง ู†ุญูƒูŠ n ุฃูƒุจุฑ
376
+
377
+ 95
378
+ 00:07:30,200 --> 00:07:34,840
379
+ ู…ู† ุซู„ุงุซูŠู† ุฃูˆ ุฎู…ุณุฉ ุนุดุฑ ู†ุญูƒูŠ n times b ุชูƒูˆู† ุฃูƒุจุฑ ู…ู†
380
+
381
+ 96
382
+ 00:07:34,840 --> 00:07:38,760
383
+ ุณูˆู‰ ุฎู…ุณุฉ ุนุดุฑุŒ n times one minus pi is at least five
384
+
385
+ 97
386
+ 00:07:38,760 --> 00:07:47,100
387
+ in additionุŒ ุงู„ mean ู„ู„ b equal by the mean of the
388
+
389
+ 98
390
+ 00:07:47,100 --> 00:07:51,590
391
+ similar proportion equal by and sigma of b ู…ุฆุฉ
392
+
393
+ 99
394
+ 00:07:51,590 --> 00:07:54,630
395
+ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
396
+
397
+ 100
398
+ 00:07:54,630 --> 00:07:54,970
399
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
400
+
401
+ 101
402
+ 00:07:54,970 --> 00:07:58,490
403
+ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
404
+
405
+ 102
406
+ 00:07:58,490 --> 00:07:59,970
407
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
408
+
409
+ 103
410
+ 00:07:59,970 --> 00:08:01,770
411
+ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
412
+
413
+ 104
414
+ 00:08:01,770 --> 00:08:01,850
415
+ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
416
+
417
+ 105
418
+ 00:08:01,850 --> 00:08:02,290
419
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
420
+
421
+ 106
422
+ 00:08:02,290 --> 00:08:14,870
423
+ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏ ู…ู‚ุงุฑ
424
+
425
+ 107
426
+ 00:08:15,230 --> 00:08:19,350
427
+ Sigma over square root of NุŒ ูˆSigma of X bar is the
428
+
429
+ 108
430
+ 00:08:19,350 --> 00:08:30,130
431
+ standard error of the sample meanุŒ ู†ูุณ
432
+
433
+ 109
434
+ 00:08:30,130 --> 00:08:35,290
435
+ ุงู„ุดูŠุกุŒ Sigma of B is the standard error of mean of
436
+
437
+ 110
438
+ 00:08:35,290 --> 00:08:40,310
439
+ B of the sample proportionุŒ Now how can we
440
+
441
+ 111
442
+ 00:08:40,310 --> 00:08:45,280
443
+ transform to this scoreุŸ ุจุงู„ุนุงู…ุฉ ุงู„ู€ z-score ูƒู…ุง
444
+
445
+ 112
446
+ 00:08:45,280 --> 00:08:52,040
447
+ ุฐูƒุฑุช ููŠ ุงู„ุญู„ู‚ุฉ 3 ูˆ6 ูƒุงู†ุช z-score x minus its mean
448
+
449
+ 113
450
+ 00:08:52,040 --> 00:09:00,420
451
+ over its standard deviationุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู‚ูŠู…ุฉ x minus
452
+
453
+ 114
454
+ 00:09:00,420 --> 00:09:04,860
455
+ its mean divided by sigma of xุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ุฐุง ุงู„ z
456
+
457
+ 115
458
+ 00:09:04,860 --> 00:09:08,120
459
+ -score ุฃุฎุฏุชู‡ ููŠ ุงู„ุญู„ู‚ุฉ 3ุŒ ูŠู…ูƒู†ูƒ ุชุทุจูŠู‚ ู‡ุฐุง ุงู„ z
460
+
461
+ 116
462
+ 00:09:08,120 --> 00:09:16,950
463
+ -score ู„ู€ B ูู†ุญู† ูู‚ุท ู†ุชุบูŠู‘ุฑ ู‡ุฐุง ุฅู„ู‰ B ูู‚ุท ุชุบูŠู‘ุฑ X
464
+
465
+ 117
466
+ 00:09:16,950 --> 00:09:20,090
467
+ ุจูŠ
468
+
469
+ 118
470
+ 00:09:20,090 --> 00:09:25,830
471
+ ุจูŠ ูู‡ูˆ B minus mean ุจูŠ ุนู„ู‰ ุณูŠุฌู…ุง ุจูŠุŒ ู‡ุฐุง ู‡ูˆ ู†ุชูŠุฌุฉ
472
+
473
+ 119
474
+ 00:09:25,830 --> 00:09:30,910
475
+ ุงู„ู€ New ZุŒ ูู‡ูˆ ุจุงู„ุถุจุท ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู„ุฏูŠู†ุง ููŠ
476
+
477
+ 120
478
+ 00:09:30,910 --> 00:09:39,170
479
+ ุงู„ุญู„ู‚ุฉ 6 ุฃูˆ 3 ูู‚ุท ุชุบูŠู‘ุฑ ู‡ุฐุง X ุจูŠ ุจูŠ ูˆุงุถุญุŸ ุงู„ู…ูˆุถูˆุน
480
+
481
+ 121
482
+ 00:09:39,170 --> 00:09:44,210
483
+ ุงู„ูŠูˆู… ุจู†ุชูƒู„ู… ุนู† Distribution of B ูุจุงู„ุชุงู„ูŠ ูƒู„ู‡
484
+
485
+ 122
486
+ 00:09:44,210 --> 00:09:48,930
487
+ ู‡ุชุนู…ู„ ุฅูŠู‡ุŸ ู‡ุชุฎูŠู„ X ูˆ ุชุญุท ุจูŠู‡ ุตุงุฑุช ุงู„ B minus ุงู„
488
+
489
+ 123
490
+ 00:09:48,930 --> 00:09:54,150
491
+ mean ู„ู„ ุจูŠ ุนู„ู‰ sigma ู„ู„ ุจูŠุŒ ุงู„ mean ู„ู„ ุจูŠ ู‡ูŠ ุจูŠ ุฅุฐุง
492
+
493
+ 124
494
+ 00:09:54,150 --> 00:10:02,130
495
+ ุฃู†ุง ุฏู‡ ู‡ุชุณุงูˆูŠ ุจูŠ minus ุจูŠ over sigma ุจูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
496
+
497
+ 125
498
+ 00:10:02,130 --> 00:10:08,420
499
+ ุงู„ู„ูŠ ู‡ูŠ ุจูŠ one minus ุจูŠ over NุŒ ุฃู†ุง ุนุงุฏุฉ ููŠ ุงู„ุงู…ุชุญุงู†
500
+
501
+ 126
502
+ 00:10:08,420 --> 00:10:12,120
503
+ ุจุงุนุทูŠูƒ ุงู„ุงุชู†ูŠู† ู‡ุฐูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mean ู„ู„ ุจูŠู‡ ุจูŠุณุงูˆูŠ
504
+
505
+ 127
506
+ 00:10:12,120 --> 00:10:15,180
507
+ ุจุงูŠ ูˆ ุงู„ sigma ู„ู„ ุจูŠู‡ ุจูŠุณุงูˆูŠ square root of pi 1
508
+
509
+ 128
510
+ 00:10:15,180 --> 00:10:20,440
511
+ minus pi over nุŒ this will be given as in the
512
+
513
+ 129
514
+ 00:10:20,440 --> 00:10:24,080
515
+ formula sheet in the final examุŒ ุฎู„ุงุตุŸ ุฅุฐุง ุงู„ู‚ูˆุงู†ูŠู†
516
+
517
+ 130
518
+ 00:10:24,080 --> 00:10:28,740
519
+ ู‡ุฐู‡ ุจุงุนุทูŠูƒ ุฅูŠุงู‡ุง ู„ูƒู† ูƒูŠู ุชุญูˆู„ูŠ ู„ู„ z ุดุบู„ูƒ ุฃู†ุชุŸ
520
+
521
+ 131
522
+ 00:10:28,740 --> 00:10:33,540
523
+ ุฎู„ุงุตุŸ ู„ุฃู† ุงู„ z ู‡ูŠ ุงู„ standard formุŒ ู‡ูŠุฉ ุฃู†ุชู… ู…ุนุงูŠุง
524
+
525
+ 132
526
+ 00:10:33,540 --> 00:10:39,190
527
+ ูˆู„ุง ูƒุฐุงุŸ ุจุงู„ุนุฑุจูŠ ู…ุฑุฉ ุซุงู†ูŠุฉ ุงู„ z-score ู‡ูŠู‡ ุจุงุถุญุŸ
528
+
529
+ 133
530
+ 00:10:39,190 --> 00:10:43,450
531
+ ุจุชุญูˆู„ูŠ ุงู„ z-score ุญุณุจ ุงู„ู…ุณุฃู„ุฉุŒ ุฅุฐุง ุจุชูƒู„ู… ุนู„ู‰
532
+
533
+ 134
534
+ 00:10:43,450 --> 00:10:47,510
535
+ proportion ุฃู†ุง ุจุนุทูŠูƒ ุงู„ู‚ุงู†ูˆู†ูŠู† ุงู„ุงุซู†ูŠู† ู‡ุฏูˆู„ ุฅูŠุด
536
+
537
+ 135
538
+ 00:10:47,510 --> 00:10:53,250
539
+ ู‡ุชุนู…ู„ูŠ ุจุณู„ุงู…ุชูƒุŸ ู‡ุชุดูŠู„ูŠ x ูˆ ุชุญุท ุจูŠู‡ ูˆุจุณ ูˆู‡ูŠ
540
+
541
+ 136
542
+ 00:10:53,250 --> 00:10:55,450
543
+ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ูˆุฌูˆุฏุฉุŒ ุจุงุถุญุŸ
544
+
545
+ 137
546
+ 00:10:57,860 --> 00:11:00,980
547
+ ู†ุงุฎุฏ exampleุŒ ู„ุฐุง ู‡ูŠ ุงู„ู€ z equal b minus y ุนู„ู‰
548
+
549
+ 138
550
+ 00:11:00,980 --> 00:11:04,280
551
+ sigma ู„ู„ู€ b ูˆู‡ูŠ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ ู…ุน ุจุนุถุŒ ุฎู„ู‘ูŠ
552
+
553
+ 139
554
+ 00:11:04,280 --> 00:11:07,880
555
+ ุจุงู„ูƒ ููŠ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ู…ุงุจุนุทูŠูƒูŠุด ุงู„ z ู‡ุงุฏุฆ ุฃู†ุช
556
+
557
+ 140
558
+ 00:11:07,880 --> 00:11:11,600
559
+ ุจุชุทู„ุนูŠู‡ ู„ุญุงู„ูƒุŒ ู„ูƒู† ุจูŠุนุทูŠูƒ ุงู„ z ุงู„ุนุงุฏูŠุŒ ุงู„ x ู†ู‚ุต ุงู„
560
+
561
+ 141
562
+ 00:11:11,600 --> 00:11:16,600
563
+ main ุชุจุนู‡ุง ุนู„ู‰ ุงู„ sigmaุŒ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุงู„ู„ูŠ ุฃู†ุง
564
+
565
+ 142
566
+ 00:11:16,600 --> 00:11:23,440
567
+ ุดุงูŠูู‡ ุงู„ูˆุฌูˆู‡ ุบูŠุฑ ู…ุจุดุฑุฉุŒ ูˆุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠู‡ ูƒู„ู‡ ู…ูƒุฑุฑุŒ
568
+
569
+ 143
570
+ 00:11:23,440 --> 00:11:25,760
571
+ ุงู„ู„ูŠ ุญูƒูŠุชู‡ ููŠ ุซู„ุงุซุฉ ูƒุฑุฑู†ุงู‡ุง ููŠ ุณุชุฉ ูƒุฑุฑู†ุงู‡ุง ููŠ ุณุจุนุฉ
572
+
573
+ 144
574
+ 00:11:26,960 --> 00:11:32,200
575
+ ู‡ูˆ ู‚ุงู†ูˆู† ูˆุงุญุฏ ุจุณ ู‡ูŠ ุชุฐูƒุฑ ููŠ chapter 7 ุจุฑุถู‡ ุญูƒูŠู†ุง
576
+
577
+ 145
578
+ 00:11:32,200 --> 00:11:37,300
579
+ ุนู† ุงู„ X bar ู…ุง ูƒู†ุง ู†ุนู…ู„ู‡ ููŠ ุงู„ Z ุฏู‡ ููŠ chapter 7
580
+
581
+ 146
582
+ 00:11:37,300 --> 00:11:41,800
583
+ ุฌุฏูŠุฏ ุนู…ู„ู†ุงู‡ุง X bar minus ุงู„ mean ฮผ ุนู„ู‰ ุงู„ sigma
584
+
585
+ 147
586
+ 00:11:41,800 --> 00:11:45,600
587
+ ฮผ ู…ุด ู‡ูŠูƒ ูˆุญูƒูŠู†ุง X bar minus ุงู„ mean ฮผ ู…ูŠูˆ
588
+
589
+ 148
590
+ 00:11:45,600 --> 00:11:49,100
591
+ ูˆู‡ุงุฏู‰ ุงู„ sigma ุนู„ู‰ ุงู„ square ูˆุทุจุนู‹ุง ูˆุงุถุญ ุญุฏ ู…ุด ุฌุฏูŠุฏ
592
+
593
+ 149
594
+ 00:11:49,100 --> 00:11:52,520
595
+ ู„ุฅู† ุฃู†ุง ุจูƒูˆู† ุนุงุฑู ุฅู† ุงู„ mean ุนู„ู‰ ุงู„ X bar ุจุณู…ุฉ ฮผ
596
+
597
+ 150
598
+ 00:11:52,520 --> 00:11:55,380
599
+ ุฃูˆ ุฃู†ุง ุจุนุทูŠูƒ ุฅูŠุงู‡ุงุŒ ูˆ sigma X bar sigma over sigma
600
+
601
+ 151
602
+ 00:11:58,110 --> 00:12:02,890
603
+ ุฃูŠ ูˆุงุญุฏ ุงุซู†ูŠู† ู‡ุฏูˆู„ ุชุฐูƒุฑ ุงู„ sample meanุŸ ูƒู†ุง ุจู†ุญูƒูŠ
604
+
605
+ 152
606
+ 00:12:02,890 --> 00:12:04,850
607
+ we can apply the central limit theorem if n is
608
+
609
+ 153
610
+ 00:12:04,850 --> 00:12:08,910
611
+ above 30ุŒ ูƒุงู† ููŠ conditions ู‡ุฏูˆู„ ุงู„ conditions
612
+
613
+ 154
614
+ 00:12:08,910 --> 00:12:12,930
615
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุนุดุงู† ู†ู‚ุฏุฑ ู†ุณุชุฎุฏู… ุงู„ central limit
616
+
617
+ 155
618
+ 00:12:12,930 --> 00:12:17,320
619
+ theorem ุนุดุงู† ุฃู‚ุฏุฑ ุฃุณุชุฎุฏู… z table ู„ุงุฒู… ุฃุชุฃูƒุฏ ุงู„ุดุฑุทูŠู†
620
+
621
+ 156
622
+ 00:12:17,320 --> 00:12:21,360
623
+ ู‡ุฏูˆู„ ู…ุงู„ู‡ู… satisfied ู…ุชุญู‚ู‚ูŠู† ู…ุงูƒุงู†ูˆุด ู…ูŠู†ูุนุด
624
+
625
+ 157
626
+ 00:12:21,360 --> 00:12:24,000
627
+ ุฃุณุชุฎุฏู… ุงู„ู€ central in itุŒ ุฅุฐุง ููŠ ู…ุณุฃู„ุฉ ุงู„
628
+
629
+ 158
630
+ 00:12:24,000 --> 00:12:28,260
631
+ proportion ู„ุงุฒู… ู„ู…ุง ุชุญู„ูŠ ุงู„ู…ุณุฃู„ุฉ ู„ุงุฒู… ุชุชุฃูƒุฏูŠ ุฅู† ุงู„
632
+
633
+ 159
634
+ 00:12:28,260 --> 00:12:33,640
635
+ two conditions are satisfiedุŒ ุฎู„ุงุต ู†ุงุฎุฏ
636
+
637
+ 160
638
+ 00:12:33,640 --> 00:12:41,040
639
+ example ูˆู†ุดูˆู ูƒูŠู ู†ุญู„ ุนุดุงู†
640
+
641
+ 161
642
+ 00:12:41,040 --> 00:12:43,560
643
+ ูƒุฏู‡ ู„ุงุฒู… ุฃุนุทูŠ quiz ูˆู„ุง ู…ู† ุบูŠุฑ ุงู„ quizูŠุฉ ุชุญูƒู… ุงู„ูˆุถุน
644
+
645
+ 162
646
+ 00:12:46,260 --> 00:12:55,820
647
+ ุตุนุจ ู…ุซู„ู‹ุง ุงุซู†ูŠู†ุŒ if the true proportion in
648
+
649
+ 163
650
+ 00:12:55,820 --> 00:13:02,540
651
+ general in statistics if we
652
+
653
+ 164
654
+ 00:13:02,540 --> 00:13:06,980
655
+ are talking about true proportion it means
656
+
657
+ 165
658
+ 00:13:06,980 --> 00:13:08,160
659
+ population proportion
660
+
661
+ 166
662
+ 00:13:13,280 --> 00:13:16,400
663
+ ูŠุนู†ูŠ ู„ู…ุง ุจุญูƒูŠ ู„ูƒ true ู…ุนู†ุงู‡ ุงู„ proportion ุงู„ูุนู„ูŠ
664
+
665
+ 167
666
+ 00:13:16,400 --> 00:13:20,740
667
+ ุจุชูƒู„ู… ุนู„ู‰ ุงู„ entire population ูุงู„ true ููŠ ุงู„
668
+
669
+ 168
670
+ 00:13:20,740 --> 00:13:25,240
671
+ statistics ู…ุนู†ุงู‡ุง ุงู„ population ูˆุงู„ proportion if
672
+
673
+ 169
674
+ 00:13:25,240 --> 00:13:28,140
675
+ the true proportion ูˆุงุถุญ ู„ู…ุง ุจุญูƒูŠ true ู…ุนู†ุงู‡ ู„ู…ูŠู†
676
+
677
+ 170
678
+ 00:13:28,140 --> 00:13:31,580
679
+ ู„ู„ population ูƒูƒู„ ู„ู…ุง ููŠ ุนู†ุฏ population ูˆ sample
680
+
681
+ 171
682
+ 00:13:31,580 --> 00:13:34,300
683
+ and we have to distinguish between these sample
684
+
685
+ 172
686
+ 00:13:34,300 --> 00:13:37,060
687
+ and proportionุŒ how can you distinguish it's very
688
+
689
+ 173
690
+ 00:13:37,060 --> 00:13:41,080
691
+ easy if it says true it means we are talking about
692
+
693
+ 174
694
+ 00:13:41,080 --> 00:13:44,580
695
+ population ุฎู„ุงุต ู„ู…ุง ุชูƒูˆู† ุงู„ sample ุชูƒูˆู† ูˆุงุถุญุฉ ุจุญูƒูŠ
696
+
697
+ 175
698
+ 00:13:44,580 --> 00:13:49,960
699
+ ู„ูƒ ุนูŠู†ุฉ ูˆู‡ูƒุฐุงุŒ ุฅุฐุง if the true proportion of
700
+
701
+ 176
702
+ 00:13:49,960 --> 00:13:54,500
703
+ voters who support proposition a is point four
704
+
705
+ 177
706
+ 00:13:54,500 --> 00:13:59,100
707
+ this means by equals point fourุŒ even if the
708
+
709
+ 178
710
+ 00:13:59,100 --> 00:14:03,060
711
+ problem does not mention this by you have to know
712
+
713
+ 179
714
+ 00:14:03,060 --> 00:14:06,300
715
+ this is by not b ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุญุชู‰ ููŠ ุงู„ู…ุซุงู„
716
+
717
+ 180
718
+ 00:14:06,300 --> 00:14:11,840
719
+ ู…ุงุญูƒูŠุชุด by ูˆุญูƒูŠุช through ุงู„ true ุฏู‡ ู…ุนู†ุงู‡ุง ุฅูŠุดุŸ
720
+
721
+ 181
722
+ 00:14:13,600 --> 00:14:16,440
723
+ population ูˆุฒูŠ ู…ุง ุญูƒูŠุช population ูˆ proportion
724
+
725
+ 182
726
+ 00:14:16,440 --> 00:14:22
727
+
728
+ 216
729
+ 00:18:08,870 --> 00:18:10,350
730
+ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ
731
+
732
+ 217
733
+ 00:18:10,350 --> 00:18:13,870
734
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถ๏ฟฝ๏ฟฝุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
735
+
736
+ 218
737
+ 00:18:13,870 --> 00:18:17,890
738
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
739
+
740
+ 219
741
+ 00:18:17,890 --> 00:18:21,530
742
+ ุงู„ูˆุงุถุญุฉ
743
+
744
+ 220
745
+ 00:18:21,530 --> 00:18:25,390
746
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
747
+
748
+ 221
749
+ 00:18:25,390 --> 00:18:26,610
750
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
751
+
752
+ 222
753
+ 00:18:31,740 --> 00:18:33,900
754
+ ู„ุงุฒู… ุฃุชุนุฑู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ mean ู„ู„ู€ b ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ฯ€ุงูŠ
755
+
756
+ 223
757
+ 00:18:33,900 --> 00:18:37,020
758
+ ูˆ ุงู„ู€ sigma ู„ู„ู€ b ฯ€ุงูŠ one minus pi over n under
759
+
760
+ 224
761
+ 00:18:37,020 --> 00:18:40,460
762
+ the square root ุงู„ู„ูŠ ุฃู†ุง ุจุญุงูˆู„ ุฃูู…ุซู‘ู„ู‡ ู…ู† ุงู„
763
+
764
+ 225
765
+ 00:18:40,460 --> 00:18:46,900
766
+ proportion between point four and point four five
767
+
768
+ 226
769
+ 00:18:46,900 --> 00:18:54,660
770
+ ู„ุฒู score ุจุญุงูˆู„ ู‡ุฐู‡ ู„ุฒู score ุจุงู„ู‚ุงู†ูˆู†
771
+
772
+ 227
773
+ 00:18:54,660 --> 00:18:58,780
774
+ ุณู‡ู„ ุฃู†ุช ุญุงูุธู‡ ูˆูุงู‡ู…ู‡ ู‡ุฐู‡ ุงู„ b ุงู„ู„ูŠ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูŠ
775
+
776
+ 228
777
+ 00:18:58,780 --> 00:19:09,690
778
+ ู‡ุฐู‡ ู…ุธุจูˆุท ู‡ุฐู‡ ู‡ูŠูƒ- ู…ูŠู†ุŸ ู†ู‚ุต ุงู„ู€ Y ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ู„ู†ู‚ุต
779
+
780
+ 229
781
+ 00:19:09,690 --> 00:19:15,550
782
+ ุงู„ู‚ูŠู…ุฉ ู‡ูŠ ู‡ุฐู‡ ุนู„ู‰ ุงู„ู€ Sigma ุฅู„ู‰ ุงู„ู€ B ุงู„ู„ูŠ ู‡ูŠ ู…ุด
783
+
784
+ 230
785
+ 00:19:15,550 --> 00:19:25,250
786
+ ู…ุชุณุงูˆูŠุฉ ุฅู„ูŠู‡ุง ู‡ุฐุง ู…ุธุจูˆุท ูู‡ุฐุง ู‡ุชูŠุฌูŠ ู‡ู†ุง ุฅุฐุง
787
+
788
+ 231
789
+ 00:19:25,250 --> 00:19:28,970
790
+ ู‡ุฐู‡ B minus ุงู„ู€ Min ุฅู„ูŠู‡ุง ุนู„ู‰ ุงู„ู€ Sigma ุชุจุนุชู‡ุง ุฃู‚ู„
791
+
792
+ 232
793
+ 00:19:28,970 --> 00:19:34,970
794
+ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ู‡ุงูŠ ุงู„ู€ Z ุฃู‚ู„ ู…ู† ุฒูŠ ู…ุง ุนู…ู„ุช ู„ู„ุฃูˆู„ู‰ ุจุนู…ู„
795
+
796
+ 233
797
+ 00:19:34,970 --> 00:19:44,250
798
+ ู„ู„ุชุงู†ูŠุฉ ุฎู…ุณุฉ ูˆุฃุฑุจุนูŠู† ู†ู‚ุต ุงู„ู€ by ุงู„ู„ูŠ ุงู„ุฃุฑุจุนุฉ ุนุฒูŠุฒูŠ
799
+
800
+ 234
801
+ 00:19:44,250 --> 00:19:49,430
802
+ ุชู„ุงุชุฉ ุฃุฑุจุนุฉ ุณุชุฉ ุฃุฑุจุนุฉ ุฅุฐุง ุงู„ two steps step one we
803
+
804
+ 235
805
+ 00:19:49,430 --> 00:19:51,230
806
+ have to make sure that the two conditions are
807
+
808
+ 236
809
+ 00:19:51,230 --> 00:19:56,130
810
+ satisfied then compute the mean of b and sigma of
811
+
812
+ 237
813
+ 00:19:56,130 --> 00:20:02,800
814
+ b and just convert b to z score ุจุงุณุชุฎุฏุงู… B minus
815
+
816
+ 238
817
+ 00:20:02,800 --> 00:20:09,460
818
+ its mean over its standard error ู‡ุฐุง ู‡ุชุณุงูˆูŠ ู‡ุฐุง
819
+
820
+ 239
821
+ 00:20:09,460 --> 00:20:13,120
822
+ Zero ู„ูˆ
823
+
824
+ 240
825
+ 00:20:13,120 --> 00:20:17,820
826
+ ุญุณุจุชู‡ุง ู‡ุชุทู„ุน 1.44 ุฅุฐุงู‹
827
+
828
+ 241
829
+ 00:20:17,820 --> 00:20:23,260
830
+ ุญุณุงุจุงุช ุนุงุฏูŠุฉ ุดูˆููˆุง ู„ุบุงูŠุฉ ุงู„ู„ุญุธุฉ ู‡ู†ุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
831
+
832
+ 242
833
+ 00:20:23,260 --> 00:20:30,100
834
+ chapter 7 ุฃุฎุฐู†ุงู‡ ุงู„ูŠูˆู… ูˆุจุนุฏ ุฐู„ูƒ ุนุดุงู† ุชุทู„ุน probability of
835
+
836
+ 243
837
+ 00:20:30,100 --> 00:20:34,840
838
+ z between 0 and 1.44 ุงู„ steps ุงู„ู„ูŠ ุฌุงูŠู‡ ู„ู€ chapter
839
+
840
+ 244
841
+ 00:20:34,840 --> 00:20:39,260
842
+ 6 ู…ุน ูƒุฏู‡ to understand 7 you have to make sure
843
+
844
+ 245
845
+ 00:20:39,260 --> 00:20:45,580
846
+ that you understand carefully chapter 6 so make
847
+
848
+ 246
849
+ 00:20:45,580 --> 00:20:49,300
850
+ sure that concepts of chapter 6 are understood
851
+
852
+ 247
853
+ 00:20:49,300 --> 00:20:54,620
854
+ then you can proceed and continue to chapter 7 now
855
+
856
+ 248
857
+ 00:20:54,620 --> 00:21:00,070
858
+ to find this probability between 0 and 1.44 it's
859
+
860
+ 249
861
+ 00:21:00,070 --> 00:21:04,670
862
+ equal how can you find this probability between
863
+
864
+ 250
865
+ 00:21:04,670 --> 00:21:12,370
866
+ two values ูƒูŠู ู†ุญุณุจู‡ุง ุจูŠู† ู‚ูŠู…ุชูŠู† ุฃู‚ู„
867
+
868
+ 251
869
+ 00:21:12,370 --> 00:21:17,230
870
+ ู…ู† 1.44 ุงู„ุซุงู†ูŠุฉ
871
+
872
+ 252
873
+ 00:21:17,230 --> 00:21:22,050
874
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ zero ุงู„ุขู† ุจุชุทู„ุน ุนู„ู‰ ุงู„ table ุงู„ table
875
+
876
+ 253
877
+ 00:21:22,050 --> 00:21:22,870
878
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู…ุนุงูƒ
879
+
880
+ 254
881
+ 00:21:28,170 --> 00:21:36,910
882
+ ุจุชุทู„ุน ุนู„ู‰ 1.44 ู„ู€ positive z score ู‡ุชุทู„ุน
883
+
884
+ 255
885
+ 00:21:36,910 --> 00:21:42,130
886
+ ู‡ุงูŠ ุงู„ z ูˆ ู‡ุงูŠ ุงู„ positive we are looking for 1.4
887
+
888
+ 256
889
+ 00:21:42,130 --> 00:21:49,890
890
+ so this row under 4 so it's 9251
891
+
892
+ 257
893
+ 00:22:01,380 --> 00:22:05,340
894
+ ู„ูŠุด one minusุŸ ู‡ูŠ ู…ุง ุนุทูŠุชูƒ ุงู„ z ุนู‚ู„ ุนู„ู‰ ุทูˆู„ุŒ ู„ูŠุด one
895
+
896
+ 258
897
+ 00:22:05,340 --> 00:22:08,180
898
+ minusุŸ ุฃู†ุง ุจุณุชุฎุฏู… ุงู„ one minus ุฅุฐุง ูƒุงู†ุช greater
899
+
900
+ 259
901
+ 00:22:08,180 --> 00:22:15,060
902
+ than ู‡ุฐุง ุงู„ z ุนู‚ู„ุŒ ุดูˆู ุงู„ table ูˆุงุถุญ ุงู„ table
903
+
904
+ 260
905
+ 00:22:15,060 --> 00:22:19,180
906
+ ุจูŠุนุทูŠ ุงู„ area ู„ู„ูŠ ูˆูŠู†ุŸ to the leftุŒ ูู…ู† ุบูŠุฑ ูˆุงุญุฏ
907
+
908
+ 261
909
+ 00:22:19,180 --> 00:22:35,590
910
+ minus ุฃู†ุชูˆ ู…ุนูŠ ูˆู„ุง ูƒุฏู‡ุŸ ุทุจ ุฒูŠ ุฃู‚ู„ ู…ู† ุตูุฑ ู†ุต ุฃุทู„ุน
911
+
912
+ 262
913
+ 00:22:35,590 --> 00:22:40,130
914
+ ุฌุงุจ point four two five one ู‡ุฐุง ุงู„ example ุงู„ูˆุญูŠุฏ
915
+
916
+ 263
917
+ 00:22:40,130 --> 00:22:46,190
918
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู…ูˆุฌูˆุฏ ุฅุฐุง ุญูˆู„ุช ู…ู† ุงู„ู€ sampling
919
+
920
+ 264
921
+ 00:22:46,190 --> 00:22:49,890
922
+ distribution ู„ู„ู€ B ุญูˆู„ุชู‡ ู„ู€ standardized .. ู„ู€
923
+
924
+ 265
925
+ 00:22:49,890 --> 00:22:51,930
926
+ standardized normal distribution ูˆุทุงู‚ุฉ ุงู„ู€ area
927
+
928
+ 266
929
+ 00:22:51,930 --> 00:23:04,890
930
+ between 0 ูˆ 1.44 ู‡ูŠูƒู…ู„ 0.4251 ุณู‡ู„ ุฃู‡ ู„ุฃ
931
+
932
+ 267
933
+ 00:23:04,890 --> 00:23:09,250
934
+ for the same example suppose we are looking for
935
+
936
+ 268
937
+ 00:23:09,250 --> 00:23:12,990
938
+ probability
939
+
940
+ 269
941
+ 00:23:14,460 --> 00:23:23,280
942
+ of b greater than point six ูˆุนุงูŠุฒ
943
+
944
+ 270
945
+ 00:23:23,280 --> 00:23:27,960
946
+ ุญุฏ ูŠุญู„ู„ ุฅูŠู‡ ู‡ูŠ probability ุงู„ similar proportion
947
+
948
+ 271
949
+ 00:23:27,960 --> 00:23:33,760
950
+ greater than point six ุญุฏ ุทุจุนู‡ ูŠุญู„ู„
951
+
952
+ 272
953
+ 00:23:47,000 --> 00:23:56,420
954
+ ูˆุฃู†ุช ุจุชุญู„ ู‡ุชู„ุงู‚ูŠู‡ุง ู‡ู†ุงุŸ ู‡ู†ุง ุงู„ุฅุดุงุฑุฉ ู‡ูŠ ุนูƒุณ
955
+
956
+ 273
957
+ 00:23:56,420 --> 00:24:01,340
958
+ ู…ุง ุงุญู†ุง ุจู†ุงุฎุฏู‡ุง ุฏุงุฆู…ุงู‹ุŒ ูุจู†ุญูˆู„ู‡ุง ู„ุฅุดุงุฑุฉ ุฃู‚ู„
959
+
960
+ 274
961
+ 00:24:08,030 --> 00:24:11,570
962
+ ูƒูˆูŠุณุฉ ุฏู‡ ุฃูˆู„ ุฎุทูˆุฉ ุทุงู„ู…ุง ุฒูŠ ู…ุง ุญูƒุช ุฒู…ูŠู„ุชูƒ ููŠ ุงู„ุฃูˆู„
963
+
964
+ 275
965
+ 00:24:11,570 --> 00:24:15,510
966
+ ุจุณ ุญูƒุช ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุฏู‡ ู…ุด ุตุญ ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ุจุญูˆู„ ู„ู„
967
+
968
+ 276
969
+ 00:24:15,510 --> 00:24:19,430
970
+ one minus ุจูŠู‡ ุฃู‚ู„ ู…ู† ุงู„ point ุณุชุฉ ู…ู† ุงู„ุนุดุฑ one
971
+
972
+ 277
973
+ 00:24:19,430 --> 00:24:25,490
974
+ minus ูƒุงู…ู„ุฉ ุจุณ ุญุทูŠู‡ ุงู„ุณุงูˆูŠ ุฅู† ุฃู†ุง ุญุงูˆู„ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูŠ
975
+
976
+ 278
977
+ 00:24:25,490 --> 00:24:30,570
978
+ ู„ู€ z ูƒูˆูŠุณุฉ ุจุชุญูˆู„ ุจูŠู‡ ู„ู€ z ุฏู‡ ู„ู…ุง ุชุชุฃูƒุฏ ู†ูุณูƒ ู…ุด ู…ุทู„ูˆุจ
979
+
980
+ 279
981
+ 00:24:30,570 --> 00:24:35,230
982
+ ุฃู†ุง ู‡ุชุฃูƒุฏ ู†ูุณูŠ ู†ูุณูŠ ู…ุซู„ุงู‹ ู…ุด ูƒู„ ู…ุฑุฉ ุฃูุชุฃูƒุฏ ุฅู† ุฃู†ุง
983
+
984
+ 280
985
+ 00:24:35,230 --> 00:24:35,550
986
+ ุจุญู„
987
+
988
+ 281
989
+ 00:24:48,590 --> 00:24:54,490
990
+ ูƒูˆูŠุณ ุจุงูŠ ูˆุงู† ู…ุงูŠู†ูˆุณ ุจุงูŠูˆูุฑ ุฅู† minus ูˆุงุญุฏ minus
991
+
992
+ 282
993
+ 00:24:54,490 --> 00:24:58,650
994
+ ุจุงูŠ ู‡ูˆ ู…ูƒุชูˆุจ ู„ูŠุด ุชูƒุชุจู‡ ู…ุฑุชูŠู† ุจุชุณุงูˆูŠ ุจุชุณุงูˆูŠ ู…ุด
995
+
996
+ 283
997
+ 00:24:58,650 --> 00:25:07,010
998
+ ู…ุดูƒู„ุฉ ุจุชุณุงูˆูŠ ุงู„ ุจูŠ ู‡ูŠ ุณุชุฉ ู…ู† ุนุดุฑุฉ minus ุงู„ ุจุงูŠ
999
+
1000
+ 284
1001
+ 00:25:07,010 --> 00:25:07,450
1002
+ ุฃุฑุจุนุฉ
1003
+
1004
+ 285
1005
+ 00:25:11,670 --> 00:25:17,370
1006
+ ุงู„ู„ูŠ point zero ููŠ ..
1007
+
1008
+ 286
1009
+ 00:25:17,370 --> 00:25:23,930
1010
+ ูƒูˆูŠุณุฉ ู‡ุฐู‡ ู‡ุชุณุงูˆูŠ .. ุฅูŠู‡ ู„ุฃ ุจุณ ุชุญุณุจูŠู‡ุง ุฏูˆู„ ุจูŠุทู„ุน
1011
+
1012
+ 287
1013
+ 00:25:23,930 --> 00:25:28,450
1014
+ ุฎู…ุณุฉ point ุณุจุนุฉ ุณุจุนุฉ ุจูŠุญุทูˆุง
1015
+
1016
+ 288
1017
+ 00:25:28,450 --> 00:25:33,390
1018
+ ุงู„ู„ูŠ ูŠุณุงูˆูŠ ุฏุงุฆู…ุงู‹ ูŠุณุงูˆูŠ ู…ุนุงูƒ ุฅุฐุง .. ุงู…ุณุญ ุงู„ู„ูŠ ุนู†ุฏูƒ
1019
+
1020
+ 289
1021
+ 00:25:33,390 --> 00:25:39,670
1022
+ ุฅุฐุง ุงู„ู…ุซุงู„ ุงุชุญูˆู„ ุทู„ุนุช ุงู„ z score ู†ุนู…
1023
+
1024
+ 290
1025
+ 00:25:42,690 --> 00:25:51,030
1026
+ ู‡ุฐู‡ ุจุงูŠ ูˆุงุญุฏ minus ุจุงูŠ ู…ูƒุชูˆุจุฉ ุงุชู†ูŠู† ู…ุฑุฉ ุชุญุช ุฅุฐุง
1027
+
1028
+ 291
1029
+ 00:25:51,030 --> 00:25:58,190
1030
+ ุจุชุณุงูˆูŠ probability of z ุฃู‚ู„ ู…ู† five point seven
1031
+
1032
+ 292
1033
+ 00:25:58,190 --> 00:26:03,470
1034
+ seven ุงู„ุขู†
1035
+
1036
+ 293
1037
+ 00:26:03,470 --> 00:26:10,250
1038
+ z ุฃู‚ู„ ู…ู† five point seven seven ูŠุนู†ูŠ
1039
+
1040
+ 294
1041
+ 00:26:10,250 --> 00:26:26,960
1042
+ ุฅูŠุด ุจุชุณุงูˆูŠู‡ุฐู‡ ู„ุญุงู„ู‡ุง ูˆุงุญุฏุฉ ู…ู…ุชุงุฒ ุทู„ุน
1043
+
1044
+ 295
1045
+ 00:26:26,960 --> 00:26:32,060
1046
+ ู…ุนูŠ ู…ุฑุฉ ุซุงู†ูŠุฉ ูƒุงู† ู…ุทู„ูˆุจ probability of the sample
1047
+
1048
+ 296
1049
+ 00:26:32,060 --> 00:26:36,560
1050
+ proportion greater than 0.6 ุงู„ table ู…ุง ู‚ุงู„ุช to
1051
+
1052
+ 297
1053
+ 00:26:36,560 --> 00:26:39,660
1054
+ the left ุญูˆู„ุช one minus ุจ
1055
+
1056
+ 298
1057
+ 00:26:41,890 --> 00:26:48,510
1058
+ ู…ู‚ุงุฑู†ุฉ ุฃู‚ู„ ู…ู† 0.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1059
+
1060
+ 299
1061
+ 00:26:48,510 --> 00:26:49,170
1062
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1063
+
1064
+ 300
1065
+ 00:26:49,170 --> 00:26:50,330
1066
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1067
+
1068
+ 301
1069
+ 00:26:50,330 --> 00:26:50,830
1070
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1071
+
1072
+ 302
1073
+ 00:26:50,830 --> 00:26:52,510
1074
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1075
+
1076
+ 303
1077
+ 00:26:52,510 --> 00:26:55,750
1078
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1079
+
1080
+ 304
1081
+ 00:26:55,750 --> 00:27:00,230
1082
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1083
+
1084
+ 305
1085
+ 00:27:00,230 --> 00:27:06,790
1086
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B
1087
+
1088
+ 306
1089
+ 00:27:06,790 --> 00:27:17,110
1090
+ .6 ู„zู score positive 5.77 again this table gives
1091
+
1092
+ 307
1093
+ 00:27:17,110 --> 00:27:26,810
1094
+ up to 3.4 z score under 09 we have 9998 ุงูŠู‡ ูŠุนู†ูŠ
1095
+
1096
+ 308
1097
+ 00:27:26,810 --> 00:27:35,250
1098
+ ู„ุบุงูŠุฉ 3.49 this area equals 9998
1099
+
1100
+ 309
1101
+ 00:27:40,210 --> 00:27:45,550
1102
+ ุงู„ู„ูŠ ู‡ูŠ ุขุฎุฑ ู‚ูŠู…ุฉ ุจุงู„ุฌุฏูˆู„ 998
1103
+
1104
+ 310
1105
+ 00:27:45,550 --> 00:27:54,730
1106
+ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ู…ู†ู‡ุง ู„ุบุงูŠุฉ 5.77 ูุชู‚ุฑูŠุจุงู‹
1107
+
1108
+ 311
1109
+ 00:27:54,730 --> 00:27:57,790
1110
+ ูˆุงุญุฏ ู„ุฃู† ุงู„ู…ุณุงุญุฉ ุงู„ probability underneath the
1111
+
1112
+ 312
1113
+ 00:27:57,790 --> 00:28:02,030
1114
+ normal curve equals one ูƒู„ ุงู„ area ุจูˆุงุญุฏ ูุงู„ุชุงุฏ is
1115
+
1116
+ 313
1117
+ 00:28:02,030 --> 00:28:05,010
1118
+ approximately ูˆุงุญุฏ ุฅุฐุง one minus one equals zero
1119
+
1120
+ 314
1121
+ 00:28:05,010 --> 00:28:08,750
1122
+ ููŠ
1123
+
1124
+ 315
1125
+ 00:28:08,750 --> 00:28:09,410
1126
+ ุฃูŠ ุณุคุงู„ุŸ
1127
+
1128
+ 316
1129
+ 00:28:17,350 --> 00:28:27,230
1130
+ ููŠ ุฃูŠ ุณุคุงู„ ุฑู‚ู…
1131
+
1132
+ 317
1133
+ 00:28:27,230 --> 00:28:35,650
1134
+ ุชู„ุงุชุฉ find a or find x find
1135
+
1136
+ 318
1137
+ 00:28:35,650 --> 00:28:41,430
1138
+ a or x or whatever else find a such that this
1139
+
1140
+ 319
1141
+ 00:28:41,430 --> 00:28:45,670
1142
+ probability find a constant a
1143
+
1144
+ 320
1145
+ 00:28:54,650 --> 00:28:58,830
1146
+ ูˆุงู„ุชุฃูƒูŠุฏ ู‡ูˆ 9710
1147
+
1148
+ 321
1149
+ 00:28:58,830 --> 00:29:08,810
1150
+ ูƒูŠู
1151
+
1152
+ 322
1153
+ 00:29:08,810 --> 00:29:18,870
1154
+ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‡ุฐุง ุฃูˆ 9713ุŸ ู†ุฌุฏ A ุจู…ุนู†ู‰ ุฃู† ุงู„ุชุฃูƒูŠุฏ
1155
+
1156
+ 323
1157
+ 00:29:20,210 --> 00:29:26,290
1158
+ of b less than or equals a equals 0.973713 ูƒูŠู
1159
+
1160
+ 324
1161
+ 00:29:26,290 --> 00:29:33,250
1162
+ ุจุชุทู„ุน ุงู„ a ู…ู…ุชุงุฒ ุจุฌูŠุจ ุงู„ z ููŠ ุงู„ุฃูˆู„ ุจุชุทู„ุน ุงู„ z
1163
+
1164
+ 325
1165
+ 00:29:33,250 --> 00:29:39,890
1166
+ corresponding to this value 9713 ูŠุนู†ูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ
1167
+
1168
+ 326
1169
+ 00:29:39,890 --> 00:29:46,370
1170
+ ุชุณุนุฉ ุชุญุช ุงู„ zero ุฒูŠ ุฏู‡ ุฃูˆู„ step ู„ู…ุง ุจูŠุนุทูŠู‡ู… ุงู„
1171
+
1172
+ 327
1173
+ 00:29:46,370 --> 00:29:48,750
1174
+ probability ุจุชุทู„ุน ุงู„ z corresponding to this
1175
+
1176
+ 328
1177
+ 00:29:48,750 --> 00:29:53,000
1178
+ probability ุฃู†ุง ุฃุนุทูŠู†ูŠ probability of 9 7 1 3 which
1179
+
1180
+ 329
1181
+ 00:29:53,000 --> 00:30:03,700
1182
+ is 1.9 ุงู„ู€ z ู„ู„ a ู‡ูˆ a minus ุงู„ mean ู„ู„ b ุงู„ู„ูŠ ู‡ูˆ
1183
+
1184
+ 330
1185
+ 00:30:03,700 --> 00:30:09,860
1186
+ ุจุงูŠ minus ุณูŠุฌู…ุง ู„ู„ b ู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ ุจุชุณุงูˆูŠ 1.9 ุฅุฐุง ุงู„
1187
+
1188
+ 331
1189
+ 00:30:09,860 --> 00:30:19,240
1190
+ a minus 0.4 ุณูŠุฌู…ุง ุจูŠ ูƒุงู† ุงู„ุฌูˆุงุจ 03 464
1191
+
1192
+ 332
1193
+ 00:30:19,240 --> 00:30:25,630
1194
+ ู…ุธุจูˆุท ู‡ุฐุง ุจูŠุตูŠุฑ 1.90 ู†ุนู…ู„
1195
+
1196
+ 333
1197
+ 00:30:25,630 --> 00:30:34,370
1198
+ cross multiplication ู†ุญุตู„ ุนู„ู‰ a-0.4 equals 1.9
1199
+
1200
+ 334
1201
+ 00:30:34,370 --> 00:30:44,170
1202
+ times 0.03464 ุฅุฐุงู‹
1203
+
1204
+ 335
1205
+ 00:30:44,170 --> 00:30:49,120
1206
+ ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุช 1.9 ุนุจุงุฑุฉ ุนู† ุงู„ z-score ู…ุธุจูˆุทุŸ ุฒูŠ
1207
+
1208
+ 336
1209
+ 00:30:49,120 --> 00:30:54,300
1210
+ ุณูƒูˆุฑุฉ ุนุจุงุฑุฉ ุนู† a-ฯ€ ุนู„ู‰ ุณูŠุฌู…ุน ุงู„ู€b ุทู„ุน a-ฯ€ 0.4
1211
+
1212
+ 337
1213
+ 00:30:54,300 --> 00:31:00,140
1214
+ ุณูŠุฌู…ุน ุงู„ู€b 0.03464 equal 1.90 to get the value
1215
+
1216
+ 338
1217
+ 00:31:00,140 --> 00:31:03,940
1218
+ of a just cross multiplication you will get a
1219
+
1220
+ 339
1221
+ 00:31:03,940 --> 00:31:10,480
1222
+ equal 0.4 plus 1.9 times this value
1223
+
1224
+ 340
1225
+ 00:31:13,240 --> 00:31:22,180
1226
+ ุงู„ุขู† ุจุฅู…ูƒุงู†ูƒ ูู‚ุท ุชุฎุฒูŠู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 1
1227
+
1228
+ 341
1229
+ 00:31:22,180 --> 00:31:31,540
1230
+ .9 x 0.34 6
1231
+
1232
+ 342
1233
+ 00:31:31,540 --> 00:31:37,940
1234
+ .4 1.9 x 0.34
1235
+
1236
+ 343
1237
+ 00:31:41,270 --> 00:31:47,790
1238
+ plus point four point four six five eight point
1239
+
1240
+ 344
1241
+ 00:31:47,790 --> 00:31:50,810
1242
+ four six five eight point four six five eight
1243
+
1244
+ 345
1245
+ 00:31:50,810 --> 00:31:51,070
1246
+ point four six five eight point four six five
1247
+
1248
+ 346
1249
+ 00:31:51,070 --> 00:31:51,310
1250
+ eight point four six five eight point four six
1251
+
1252
+ 347
1253
+ 00:31:51,310 --> 00:31:51,330
1254
+ five eight point four six five eight point four
1255
+
1256
+ 348
1257
+ 00:31:51,330 --> 00:31:51,410
1258
+ four six five eight point four six five eight
1259
+
1260
+ 349
1261
+ 00:31:51,410 --> 00:31:51,830
1262
+ eight point four six five eight point four six
1263
+
1264
+ 350
1265
+ 00:31:51,830 --> 00:31:51,870
1266
+ five eight point four six five eight point four
1267
+
1268
+ 351
1269
+ 00:31:51,870 --> 00:31:52,850
1270
+ six five eight point four six five eight point
1271
+
1272
+ 352
1273
+ 00:31:52,850 --> 00:31:53,470
1274
+ four six five eight point four six five eight
1275
+
1276
+ 353
1277
+ 00:31:53,470 --> 00:31:55,810
1278
+ point four six five eight point four six five
1279
+
1280
+ 354
1281
+ 00:31:55,810 --> 00:32:02,550
1282
+ eight point four six five eight point four six
1283
+
1284
+ 355
1285
+ 00:32:02,550 --> 00:32:07,270
1286
+ five eight point four six five eight point
1287
+
1288
+ 356
1289
+ 00:32:10,360 --> 00:32:15,940
1290
+ ุงู„ู‚ุงู†ูˆู† ู„ู… ูŠุชุบูŠุฑ ุนู†ุฏู…ุง ูƒู†ุง ู†ุชุญุฏุซ ุนู† ุงู„ู€ X bar ูƒุงู†ุช
1291
+
1292
+ 357
1293
+ 00:32:15,940 --> 00:32:19,960
1294
+ ุนุจุงุฑุฉ ุนู† ุงู„ู€ mean ุฒูŠ ุงู„ู€ Z sigma X barุŒ ุฃู„ูŠุณ ูƒุฐู„ูƒุŸ
1295
+
1296
+ 358
1297
+ 00:32:19,960 --> 00:32:25,180
1298
+ ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุนู„ู‰ ุงู„ู€ BุŒ ู…ุงู‡ูŠ ุญุฏุซุŸ ู„ุงุญุธ ุงู„ู€ point
1299
+
1300
+ 359
1301
+ 00:32:25,180 --> 00:32:29,540
1302
+ four ุนุจุงุฑุฉ ุนู† ุฅูŠู‡ุŸ
1303
+
1304
+ 360
1305
+ 00:32:29,540 --> 00:32:35,480
1306
+ ุทู„ุน ู„ู„ู€ A ุงู„ู€ A ู‡ุชุณุงูˆูŠ ุงู„ู€ point four ุนุจุงุฑุฉ ุนู† Pi
1307
+
1308
+ 361
1309
+ 00:32:35,480 --> 00:32:45,150
1310
+ 1.9 Z ูˆ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงู„ู€ means ู„ุญุธุฉ ุงู„ู‚ุงู†ูˆู† ู…ุงู„ู‡ ู‡ูˆ
1311
+
1312
+ 362
1313
+ 00:32:45,150 --> 00:32:51,070
1314
+ ู†ูุณู‡ ูุงู„ู‚ูˆุงู†ูŠู† ุฏุงุฆู…ุงู‹ ุงู„ mean plus z sigma ู„ูˆ ูƒุงู†
1315
+
1316
+ 363
1317
+ 00:32:51,070 --> 00:32:55,890
1318
+ ุนู†ุฏูŠ x bar ุจูŠุตูŠุฑ ุงู„ mean ุฒูŠ ุงู„ sigma x bar ู„ูˆ ูƒุงู†
1319
+
1320
+ 364
1321
+ 00:32:55,890 --> 00:33:00,230
1322
+ ุนู†ุฏูŠ proportion ุจูŠุตูŠุฑ y ุฒูŠ ุงู„ sigma z sigma b ุฃูˆ
1323
+
1324
+ 365
1325
+ 00:33:00,230 --> 00:33:03,270
1326
+ ุญู„ู„ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ููŠ ุงู„ุญู„ู‚ุฉ ุชุตู„ ู„ู†ูุณ ุงู„ุญู„ ุฅุฐุง
1327
+
1328
+ 366
1329
+ 00:33:03,270 --> 00:33:07,190
1330
+ ู…ุฑุฉ ุซุงู†ูŠุฉ ู„ู…ุง ุงู„ probability is given step number
1331
+
1332
+ 367
1333
+ 00:33:07,190 --> 00:33:13,920
1334
+ one ู…ุนุฑูุฉ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
1335
+
1336
+ 368
1337
+ 00:33:13,920 --> 00:33:17,760
1338
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
1339
+
1340
+ 369
1341
+ 00:33:17,760 --> 00:33:34,160
1342
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ
1343
+
1344
+ 370
1345
+ 00:33:42,070 --> 00:33:47,470
1346
+ 0.008 ุงุญุตู„
1347
+
1348
+ 371
1349
+ 00:33:47,470 --> 00:33:51,870
1350
+ ุนู„ู‰ ู‚ูŠู…ุฉ C. C ู‡ูŠ ู…ุตุฏุฑ ู…ุจุงุฏุฑุฉ. ุจู…ุนู†ู‰ ุฃู† ู‡ุฐุง ุงู„ู€
1351
+
1352
+ 372
1353
+ 00:33:51,870 --> 00:33:54,590
1354
+ Probability ู‡ูˆ 0.0092.
1355
+
1356
+ 373
1357
+ 00:34:09,800 --> 00:34:13,160
1358
+ ุจ ุฃูˆ b greater than c equals point zero zero eight
1359
+
1360
+ 374
1361
+ 00:34:13,160 --> 00:34:36,740
1362
+ ูˆุงุญุฏุฉ ุชุนู…ู„ูŠู‡ุง ุดูˆู
1363
+
1364
+ 375
1365
+ 00:34:36,740 --> 00:34:42,150
1366
+ ุฃูˆู„ ุฎุทูˆุฉ ุญูˆู„ุช one minus ู„ุฃู†ู‡ we have greater than
1367
+
1368
+ 376
1369
+ 00:34:42,150 --> 00:34:55,030
1370
+ or equal to C ุงู„ุทุฑูŠู‚ุฉ one minus ุงู„ู…ุชูƒู…ู„ุฉ
1371
+
1372
+ 377
1373
+ 00:34:55,030 --> 00:35:00,590
1374
+ ุงู„ู‡ุง nine ุฎู„ุงุต
1375
+
1376
+ 378
1377
+ 00:35:00,590 --> 00:35:03,770
1378
+ ู‡ูŠ ุจู…ูƒุงู†ู‡ุง ูƒุงู†ุช ู…ู† ุงู„ุฃูˆู„ ู†ู†ุชู‚ู„ ู…ู† ู‡ู†ุง ุฅู„ู‰ ู‡ู†ุง ุนู„ู‰
1379
+
1380
+ 379
1381
+ 00:35:03,770 --> 00:35:07,410
1382
+ ุทูˆู„ ู‡ุฐู‡ greater than or equal ุงู„ุฃู‚ู„ ู…ู†ู‡ุง ุนู„ู‰ ุทูˆู„
1383
+
1384
+ 380
1385
+ 00:35:07,410 --> 00:35:12,030
1386
+ one minus ูŠุนู†ูŠ ุงู„ุฎุทูˆุฉ ู‡ุฐู‡ ู„ู„ุชูˆุถูŠุญ ูƒูˆูŠุณุฉ ุฅุฐุง ุจุชุณุงูˆูŠ
1387
+
1388
+ 381
1389
+ 00:35:12,030 --> 00:35:20,090
1390
+ point nine nine one eight nine nine ุชุจู‚ู‰
1391
+
1392
+ 382
1393
+ 00:35:20,090 --> 00:35:26,390
1394
+ ุชุณุนุฉ ุตุญ ูˆูˆุงุญุฏ
1395
+
1396
+ 383
1397
+ 00:35:26,390 --> 00:35:27,610
1398
+ ุซู…ุงู†ูŠุฉ ูƒุงู… ู†ู‡ุงุฑ ูˆูˆุงุญุฏ ุซู…ุงู†ูŠุฉ
1399
+
1400
+ 384
1401
+ 00:35:32,790 --> 00:35:38,830
1402
+ ูƒูˆูŠุณุฉ ุฅุฐุง ุญุทุงู„ุฉ ุงู„ู€ z ุงู„ู…ู‚ุงุจู„ุฉ ุฅู„ูŠู‡ุง 9918 ู‡ูŠ 99
1403
+
1404
+ 385
1405
+ 00:35:38,830 --> 00:35:45,130
1406
+ ุฃูˆูŠ ูˆู„ุญุธุฉ ุจุงู„ุธุจุท ู‡ูŠ 9918 ูุชู‚ุน ุนุจุงุฑุฉ ุนู† 2.4 ุฅุฐุง ุงู„
1407
+
1408
+ 386
1409
+ 00:35:45,130 --> 00:35:51,790
1410
+ z score 2.4 ุชู…ุงู…
1411
+
1412
+ 387
1413
+ 00:35:51,790 --> 00:35:58,090
1414
+ ุฅุฐุง ุงู„ c minus ุญูˆู„ ุงู„ c ู„ู€ ุงู„ z score ุญูˆู„ ู‡ูŠ ู…ุด ู‡ูŠ
1415
+
1416
+ 388
1417
+ 00:35:58,090 --> 00:36:02,490
1418
+ ุงู„ c ุนู†ุฏู†ุง ู‡ุฐู‡ ุงู„ู€ C ุญูˆู„ู‡ุง ุฅู„ู‰ ุงู„ู€ z-score ุจูŠุตูŠุฑ ุงู„ู€
1419
+
1420
+ 389
1421
+ 00:36:02,490 --> 00:36:06,690
1422
+ C minus ุงู„ู€ mean ุชุจุนู‡ุงุŒ ุฎู„ูŠู‡ุงุŒ ู†ุงู‚ุต ุงู„ู€ mean ุงู„ู„ูŠ
1423
+
1424
+ 390
1425
+ 00:36:06,690 --> 00:36:12,030
1426
+ ู‡ูˆ ุฃุฑุจุนุฉ ู…ู† ุนุดุฑุฉุŒ ุจุงู„ุธุจุท ุชู‚ุณูŠู… sigma ู„ู„ู€ B ุณูˆู‰
1427
+
1428
+ 391
1429
+ 00:36:12,030 --> 00:36:15,150
1430
+ ุงุชู†ูŠู† ูˆุฃุฑุจุนุฉุŒ ู…ู…ุชุงุฒุฉุŒ ู„ุญุธุฉุŒ ู…ุง ุงุชุด ุนู…ู„ุชุŒ ุจุณ ุงูƒุชุจ
1431
+
1432
+ 392
1433
+ 00:36:15,150 --> 00:36:20,630
1434
+ ุงู„ Z ู‡ู†ุง ุนู…ู„ุช ู„ุฃุชู†ูŠู†ุŒ ุจุชุญูˆู„ ุงู„ C ุงู„ู„ูŠ ู‡ู†ุง ู„ู„ Z
1435
+
1436
+ 393
1437
+ 00:36:20,630 --> 00:36:25,750
1438
+ -score ูุงู„ู€ C minus ุงู„ Y over sigma ู„ู„ BุŒ ุจุชุณุงูˆูŠ
1439
+
1440
+ 394
1441
+ 00:36:30,660 --> 00:36:36,580
1442
+ ุฃูŠูˆุฉ ูˆุชุญุช point zero three four six four four
1443
+
1444
+ 395
1445
+ 00:36:36,580 --> 00:36:45,200
1446
+ four six ุงูŠุด four zero six four ู‡ุฐุง ูƒู„ู‡ ุจูŠุณุงูˆูŠ
1447
+
1448
+ 396
1449
+ 0
1450
+
1451
+ 431
1452
+ 00:40:22,940 --> 00:40:27,960
1453
+ ู‡ุฐุง ู„ู„ุฅุซู†ูŠู† ู…ุน ุจุนุถุŒ ู„ู„ุฅุซู†ูŠู†ุŒ ูˆู‡ุฏูˆู„ ุงู„ุฅุซู†ูŠู† ุฒูŠ
1454
+
1455
+ 432
1456
+ 00:40:27,960 --> 00:40:31,440
1457
+ ุจุนุถุŒ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุฏูŠ symmetric ุนู†ุฏ C ูˆ -CุŒ
1458
+
1459
+ 433
1460
+ 00:40:31,440 --> 00:40:36,340
1461
+ ุฅุฐุง ู…ุง ุนู†ุง ูƒุฏู‡ุŒ ุญุฌุณ ู…ุน ุงุซู†ูŠู† ุฎูŠุงุฑูŠ
1462
+
1463
+ 434
1464
+ 00:40:36,340 --> 00:40:42,850
1465
+ ุฃุฎุฏู‡ุง ุจุงู„ุชู‚ุฑูŠุจุŒ .002 ุชู‚ุฑูŠุจุงุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ
1466
+
1467
+ 435
1468
+ 00:40:42,850 --> 00:40:51,110
1469
+ ู…ุด ู‡ุชูุฑู‚ ูƒุชูŠุฑ ุฅุฐุง ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู‡ูŠูƒ ุชู‚ุฑูŠุจุง ู‡ูˆ
1470
+
1471
+ 436
1472
+ 00:40:51,110 --> 00:40:57,190
1473
+ ุจุงู„ุธุจุท .225 ู…ุด ู‡ูŠูƒ ุงู„ู€ probability to the left of C
1474
+
1475
+ 437
1476
+ 00:40:57,190 --> 00:41:01,050
1477
+ ุงู„ุขู† ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ู‡ุชุณุงูˆูŠ ุงู„ู‚ู…ุชูŠู† ู‡ุฏูˆู„ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ
1478
+
1479
+ 438
1480
+ 00:41:01,050 --> 00:41:11,450
1481
+ ู‡ูŠ .9955 ูˆู‚ุฏุงุดุฑ ูˆ .0022 ู…ุด ู‡ูŠูƒุŸ ุงุฌู…ุนูŠู‡ู… ุฅู† ุดุงุก
1482
+
1483
+ 439
1484
+ 00:41:11,450 --> 00:41:18,850
1485
+ ุงู„ู„ู‡ ุณุงู…ุญูƒุŒ ูˆุงุญุฏ ูƒู„ู‡ุง ู†ุงู‚ุต ู‡ุฐู‡ ุฃู‚ู„ ู…ู† C ุจุชู…ุงู…
1486
+
1487
+ 440
1488
+ 00:41:18,850 --> 00:41:23,570
1489
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃูˆ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ..
1490
+
1491
+ 441
1492
+ 00:41:23,570 --> 00:41:26,690
1493
+ ุงู„ุญูƒุงูŠุฉ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ู…ู…ูƒู† ู„ู„ู…ูˆุฌุจุŒ ุฎู„ูŠู†ูŠ ุนู„ู‰ ุงู„ู…ูˆุฌุจ
1494
+
1495
+ 442
1496
+ 00:41:26,690 --> 00:41:31,330
1497
+ the probability of B less than or equal to C .9977
1498
+
1499
+ 443
1500
+ 00:41:31,330 --> 00:41:34,190
1501
+ ุฅูŠุด ุจุชุทู„ุน ุฅู„ู‰ ู…ุซู„ุฉ ุชุชุญูˆู„ ุฅุฒุงูŠ ู„ู…ุซู„ุฉ ุญู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ุŸ
1502
+
1503
+ 444
1504
+ 00:41:34,190 --> 00:41:40,430
1505
+ ู†ูุณ ุงู„ุณุคุงู„ุŒ ุฅูŠุด Z score ู…ู‚ุงุจู„ .9977ุŸ ู†ุดูˆู ุฃู‚ุฑุจ ุญุงุฌุฉ
1506
+
1507
+ 445
1508
+ 00:41:40,430 --> 00:41:45,650
1509
+ ู…ูˆุฌูˆุฏุฉ ุชู„ุนุจ ุงู„ุฌุฏูˆู„ .9977
1510
+
1511
+ 446
1512
+ 00:41:45,650 --> 00:41:50,090
1513
+ 2.8 ุชุญุช
1514
+
1515
+ 447
1516
+ 00:41:50,090 --> 00:41:58,770
1517
+ ุงู„ุชู„ุงุชุฉ ุฅุฐู† ุงู„ู€ z ุจุชุณุงูˆูŠ 2. ุชุจู‚ู‰ ู„ู‡ุง ุชู„ุงุชุฉุŒ ู…ุธุจูˆุทุŸ
1518
+
1519
+ 448
1520
+ 00:41:58,770 --> 00:42:01,610
1521
+ ุฅุฐุง ู…ุน ูƒุฏู‡ ุงู„ู€ c ู†ุงู‚ุต ุงู„ู€ ฯ€
1522
+
1523
+ 449
1524
+ 00:42:04,580 --> 00:42:12,200
1525
+ ุนู„ู‰ ุงู„ู€ Sigma ุงู„ู„ูŠ ู‡ูŠ .3464 equals 2.83 ุฅุฐุง ุจุทู„ุน ุงู„ู€
1526
+
1527
+ 450
1528
+ 00:42:12,200 --> 00:42:16,920
1529
+ C ุฒูŠ ู…ุง ุนู…ู„ู†ุง ููŠ ุงู„ุฃูˆู„ ุจุทู„ุน C equal .4 plus ู‡ุงูŠ
1530
+
1531
+ 451
1532
+ 00:42:16,920 --> 00:42:24,260
1533
+ ุงู„ู€ Z times Sigma of B ุจุทู„ุน ุงู„ุฌูˆุงุจ ุทุจุนุง ู‡ุทู„ุน ู…ุนุงูŠุง
1534
+
1535
+ 452
1536
+ 00:42:24,260 --> 00:42:28,340
1537
+ ุงู„ู€ positive C ุงู„ู„ูŠ ู‡ูŠ .3
1538
+
1539
+ 453
1540
+ 00:42:33,830 --> 00:42:39,790
1541
+ ุฒูŠ .498
1542
+
1543
+ 454
1544
+ 00:42:39,790 --> 00:42:49,070
1545
+ ุฅุฐุง
1546
+
1547
+ 455
1548
+ 00:42:49,070 --> 00:42:52,050
1549
+ ุงู„ุฃููƒุงุฑ ูˆุงุญุฏุฉ
1550
+
1551
+ 456
1552
+ 00:43:01,520 --> 00:43:04,620
1553
+ ุจุฑุถู‡ ู„ูˆ ุงุณุชุฎุฏู…ุช ุงู„ู€ area to the left of negative C
1554
+
1555
+ 457
1556
+ 00:43:04,620 --> 00:43:10,160
1557
+ ู‡ูŠุทู„ุน ู…ุนุงูƒ ู†ูุณ ุงู„ุฅุฌุงุจุฉ any question? next time you
1558
+
1559
+ 458
1560
+ 00:43:10,160 --> 00:43:13,000
1561
+ should start chapter 9
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/VL7Uof7K6oY_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/VL7Uof7K6oY_raw.srt ADDED
@@ -0,0 +1,1904 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:25,290
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:25,290 --> 00:00:30,470
7
+ chapter seven before that I will just mention that
8
+
9
+ 3
10
+ 00:00:30,470 --> 00:00:34,710
11
+ on Saturday we will have the first quiz on chapter
12
+
13
+ 4
14
+ 00:00:34,710 --> 00:00:39,110
15
+ seven ุงุฐุง ุงู„ูŠูˆู… ุงู„ุณุจุช ู‡ู†ุงุฎุฏ ุงู„ quiz ุฑู‚ู… ูˆุงุญุฏ ููŠ
16
+
17
+ 5
18
+ 00:00:39,110 --> 00:00:43,670
19
+ chapter ุณุจุนุฉ ุจุนุฏ ู‡ูŠูƒ ู‡ูƒูˆู† ุนู†ุฏู†ุง quiz ูƒู„ ู†ู‡ุงูŠุฉ
20
+
21
+ 6
22
+ 00:00:43,670 --> 00:00:48,520
23
+ ุงู„ุณุจูˆุนูŠุนู†ูŠ ู…ุด ุงู„ุฃุฑุจุน ุงู„ู‚ุงุฏู… ุงู„ู„ูŠ ุจุนุฏู‡ ู‡ูƒูˆู† ุนู†ุฏูƒ
24
+
25
+ 7
26
+ 00:00:48,520 --> 00:00:55,300
27
+ quiz ูƒู„ ุฃุณุจูˆุน ุฎู„ุงุต ูƒู„ .. ูƒู„ ุฃุณุจูˆุน ู…ุด ูƒู„ chapter
28
+
29
+ 8
30
+ 00:00:55,300 --> 00:00:59,620
31
+ ุงู„ู…ุฑุงุฏุฉ ุฃู†ู‡ุง ุดู‡ุฑ ุชู„ ุณุงุจุนุฉ ู„ูƒู† ุงู„ู„ู‚ุงุกุงุช ุงู„ุฌุงูŠุฉ
32
+
33
+ 9
34
+ 00:00:59,620 --> 00:01:05,000
35
+ ู‡ูŠูƒูˆู† ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ูƒู„ ุฃุณุจูˆุน ููŠ quiz ุงู„ quiz ู‡ูŠูƒูˆู†
36
+
37
+ 10
38
+ 00:01:05,000 --> 00:01:09,220
39
+ ููŠ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุจูŠุบุทูŠู‡ุง ุจุนุฏ ุงู„ quiz ุงู„ุณุงุจู‚ ูŠุนู†ูŠ ุงู„
40
+
41
+ 11
42
+ 00:01:09,220 --> 00:01:12,240
43
+ quiz ูˆุงุญุฏ ู‡ูŠูƒูˆู† ููŠ chapter ุณุจุนุฉ ุงู„ quiz ู„ู„ุฃุฑุจุนุฉ
44
+
45
+ 12
46
+ 00:01:12,240 --> 00:01:18,980
47
+ ุจุนุฏ ุงู„ู‚ุงุฏู… ู‡ูŠูƒูˆู†ูˆ ู‡ูŠ ู†ุฎู„ุตู†ุง ููŠ ุชุณุนุฉ ูˆุงุถุญุŸ ูˆ ุงู„ูƒู„ุงู…
48
+
49
+ 13
50
+ 00:01:18,980 --> 00:01:21,860
51
+ ุฏู‡ ู‡ูŠูƒูˆู† ูƒู„ ุฃุณุจูˆุน ู…ุนุงุฏู„ ุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู… ู…ุงูŠูƒูˆู†ุด ููŠู‡
52
+
53
+ 14
54
+ 00:01:21,860 --> 00:01:26,260
55
+ ุฃุฑุจุนุฉุŒ ู‡ูŠูƒูˆู†ู‡ู… ุงู„ุณุจุช ู„ูƒู† ุชุฏุงู…ู† ุจุนุฏ ุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู…
56
+
57
+ 15
58
+ 00:01:26,260 --> 00:01:29,920
59
+ ู‡ูŠูƒูˆู† ูƒู„ ุฃุณุจูˆุน ููŠ Andy QuizุŒ ู…ู† ุบูŠุฑ ู…ุญูƒู…ุฉ ูŠุนู†ูŠ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:29,920 --> 00:01:33,120
63
+ ูŠูƒูˆู† ุงู„ุณุจุช ูˆ ุฃุฑุจุนุฉุŸ ุฃูŠ ุฎู„ .. ู„ุฃ ู…ุด ุณุจุช ูˆ ุฃุฑุจุนุฉุŒ
64
+
65
+ 17
66
+ 00:01:33,120 --> 00:01:36,340
67
+ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงู‰ ุณุจุช ุจุณุŒ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงู‰ ุจุณ ุงู„ุณุจุช
68
+
69
+ 18
70
+ 00:01:36,340 --> 00:01:39,100
71
+ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ูˆุฑุง ุงู„ุฃุฑุจุนุฉ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ูˆุฑุง ุงู„ุฃุฑุจุนุฉ
72
+
73
+ 19
74
+ 00:01:39,100 --> 00:01:43,140
75
+ ู…ููŠุด ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงู‰ .. ุงู„ู„ูŠ ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ุงู„ู„ูŠ ุฌุงู‰
76
+
77
+ 20
78
+ 00:01:43,140 --> 00:01:52,000
79
+ ู…ููŠุดุงู„ุจุนุฏุฉ ููŠู‡ ูˆู…ู† ุฎู„ุต ุจุนุฏ ุณุจุนุฉ ูŠุนู†ูŠ ูƒู„ ู…ุงุฏุฉ ุฌุฏูŠุฏุฉ
80
+
81
+ 21
82
+ 00:01:52,000 --> 00:02:00,580
83
+ ุจู†ุฎู„ุตู‡ุง ุงู„ูƒู„ุงู… ุงู„ุฃู† ูˆุงุถุญ ุทุจุนุง ุงู„ุบุงูŠุจ ุจุชุจู„ุบูˆู‡ ุดุจุชุฑ
84
+
85
+ 22
86
+ 00:02:00,580 --> 00:02:04,680
87
+ ุณุจุนุฉ ุดุจุชุฑ ุณุจุนุฉ ุฎู„ุงุต is an requisite subject ุฏุงุฎู„
88
+
89
+ 23
90
+ 00:02:04,680 --> 00:02:10,180
91
+ ููŠู‡ ุดุจุชุฑ ุณุจุนุฉุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู… ุงู„ quiz ูˆุงุญุฏ ุจุณ ูˆ ู…ู†
92
+
93
+ 24
94
+ 00:02:10,180 --> 00:02:13,300
95
+ ุงู„ู„ูŠ ุจุนุฏู‡ ูƒู„ ุณุจูˆุน ููŠู‡ quiz ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ูŠูˆู…
96
+
97
+ 25
98
+ 00:02:13,300 --> 00:02:16,460
99
+ ุงู„ุฃุฑุจุนุฉ ุนู„ู‰ ุทูˆู„ ููŠ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุจู†ุบุทูŠู‡ุง ุจุนุฏ ุงู„ quiz
100
+
101
+ 26
102
+ 00:02:16,460 --> 00:02:21,380
103
+ ูˆุงุถุญ ู‡ูŠูƒุŸ ุทุจุนุง ุงู„ุณุจุจ ุงู„ู„ูŠ ุฃู†ุง ู„ุงุญุธุชู‡ ุงู„ู…ุณุชูˆู‰ ุถุนูŠู
104
+
105
+ 27
106
+ 00:02:21,380 --> 00:02:26,580
107
+ ูˆ ุฃู†ุง ุจุดุฑุญ ูŠุนู†ูŠ ูˆุงุถุญ ุงู„ูˆุถุน ู…ุด ูƒุชูŠุฑ ุฌูŠุฏ ุณูˆุงุก ุนู†ุฏูƒู…
108
+
109
+ 28
110
+ 00:02:26,580 --> 00:02:29,880
111
+ ุฃูˆ ุนู†ุฏ ุงู„ุทู„ุงุจ ูุจุงู„ุชุงู„ูŠ ุฃุญุณู† ุงู„ู…ุณุชูˆู‰ ู„ุงุฒู… ุงู„ุญู„
112
+
113
+ 29
114
+ 00:02:29,880 --> 00:02:34,320
115
+ ุงู„ูˆุญูŠุฏ ุฃุนุทูŠ quizzes ููŠ ูƒู„ ุณุจูˆุน quiz ูˆ ููŠ ู†ู‡ุงูŠุฉ ูƒู„
116
+
117
+ 30
118
+ 00:02:34,320 --> 00:02:39,030
119
+ chapter ููŠ assignmentูˆ ุจุนุฏ ุฃู†ู†ุง ุงู…ุชุญุงู†ูŠู† ูŠุนู†ูŠ ู…ูˆ
120
+
121
+ 31
122
+ 00:02:39,030 --> 00:02:41,770
123
+ ุฑุงุญ ุชูƒูˆู† ุงู† ุดุงุก ุงู„ู„ู‡ ุฃุญุณู† ู„ูƒู† ุฃุณูŠุจูƒู… ุนู„ู‰ ุญุงู„ูƒู… ุฒูŠ
124
+
125
+ 32
126
+ 00:02:41,770 --> 00:02:46,570
127
+ ู‡ูŠูƒ ู„ุฃ ุฃู†ุง ุจุฏุฃ ุฃุฎูู ู…ู† ุนุฏุฏ ุงู„ุณุงุนุงุช ุงู„ู„ูŠ ุจุชู‚ุถูŠู‡ุง
128
+
129
+ 33
130
+ 00:02:46,570 --> 00:02:52,950
131
+ ุนู„ู‰ ุงู„ููŠุณุจูˆูƒ ุนู„ู‰ ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู† ุทุจุนุง ุนู„ู‰
132
+
133
+ 34
134
+ 00:02:52,950 --> 00:02:56,830
135
+ ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู† ุฎู„ุงุตุŸ
136
+
137
+ 35
138
+ 00:02:56,830 --> 00:03:03,230
139
+ ููŠ ุฃูŠ ุชุนู„ูŠู‚ุŸ ุฃูŠ ุญุฏ ุนู†ุฏู‡ ู…ู„ุงุญุธุฉ ุฃูˆ ุงุนุชุฑุงุถุŸ ูŠุนู†ูŠ
140
+
141
+ 36
142
+ 00:03:03,230 --> 00:03:04,170
143
+ ู…ุชูู‚ูŠู†ุŸ
144
+
145
+ 37
146
+ 00:03:07,180 --> 00:03:13,080
147
+ ู†ุนู… ู‡ุฎู„ูŠ ุจุงู„ูƒ ุงู„ู„ูŠ ุงู„ quizุงุช ุนู„ูŠู‡ุง 10% ู‡ุงุฎุฏ ุงู„ุนุดุฑุฉ
148
+
149
+ 38
150
+ 00:03:13,080 --> 00:03:15,940
151
+ ู…ู† ุงู„ู†ู‡ุงุฆูŠ ู…ู† ุงู„ final exam ูŠุนู†ูŠ ุงู„ final ู„ูˆ ุนู„ูŠู‡ุง
152
+
153
+ 39
154
+ 00:03:15,940 --> 00:03:23,320
155
+ ุฎู…ุณูŠู† ู‡ุฎู„ูŠ ุงู„ final ุนู„ูŠู‡ุง ุฑุจุนูŠู† ุจุณ ูˆุงุถุญุŸ ุทุจุนุง
156
+
157
+ 40
158
+ 00:03:23,320 --> 00:03:26,860
159
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจุญูƒูŠู‡ ู…ุด ุงุฎุชูŠุงุฑูŠ ูŠุนู†ูŠ ุฅุฌุจุงุฑูŠ ุทุจุนุง ุฃู†ุง
160
+
161
+ 41
162
+ 00:03:26,860 --> 00:03:34,020
163
+ ุจุงุฎุฏุด ุฑุฃูŠูƒ ููŠ ู…ูˆุถูˆุน ุงู„ quiz ูˆู„ุง ู„ุฃุŸ ู‡ู†ูƒู…ู„
164
+
165
+ 42
166
+ 00:03:34,020 --> 00:03:38,000
167
+ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ู‡ุชูƒู„ู… ุนู„ู‰ ุงู„ู€ sampling
168
+
169
+ 43
170
+ 00:03:38,000 --> 00:03:44,560
171
+ distribution
172
+
173
+ 44
174
+ 00:03:44,560 --> 00:04:01,360
175
+ of the sampling of the sample proportion ุจูŠู‡
176
+
177
+ 45
178
+ 00:04:01,360 --> 00:04:06,940
179
+ ู‡ู†ุง ู†ุญู† ู„ุฏูŠู†ุง ู†ูุณ ู…ุง ูุนู„ู†ุงู‡ ุจุงู„ุถุจุท ู„๏ฟฝ๏ฟฝุงู„ุณุงู…ุจู„ ูŠุนู†ูŠ
180
+
181
+ 46
182
+ 00:04:06,940 --> 00:04:14,080
183
+ ุฃู†ู†ุง ุณู†ุญุตู„ ุนู„ู‰ ุฃุฏุงุก ุฌุฏูŠุฏ ูŠุณู…ู‰ ุจุงูŠ ูˆู‡ูˆ ุชุณู…ู‰ ุจุงูŠ
184
+
185
+ 47
186
+ 00:04:14,080 --> 00:04:18,640
187
+ ุชุนุฑู ุงู„ ุจุงูŠ ุจุงูŠ ู‡ูˆ ู…ุฌุฑุฏ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
188
+
189
+ 48
190
+ 00:04:18,640 --> 00:04:20,280
191
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
192
+
193
+ 49
194
+ 00:04:20,280 --> 00:04:20,280
195
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
196
+
197
+ 50
198
+ 00:04:20,280 --> 00:04:23,920
199
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
200
+
201
+ 51
202
+ 00:04:23,920 --> 00:04:24,040
203
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
204
+
205
+ 52
206
+ 00:04:24,040 --> 00:04:24,040
207
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
208
+
209
+ 53
210
+ 00:04:24,040 --> 00:04:24,100
211
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
212
+
213
+ 54
214
+ 00:04:27,380 --> 00:04:32,900
215
+ ุจุนุฏ ุชู‚ุฑูŠุฑ ุงู„ู…ุฌุชู…ุน ู„ุฏูŠู‡ ุจุนุถ ุงู„ุชูุงุตูŠู„ ู…ุซู„ุง ูƒู…ุง ุฐูƒุฑู†ุง
216
+
217
+ 55
218
+ 00:04:32,900 --> 00:04:38,420
219
+ ููŠ ุงู„ุณุงุจู‚ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† number of students who pass
220
+
221
+ 56
222
+ 00:04:38,420 --> 00:04:43,560
223
+ the course or pass the statistics course ุฃูˆ number
224
+
225
+ 57
226
+ 00:04:43,560 --> 00:04:49,500
227
+ of sale persons in a company ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุชู‚ุฑูŠุฑ
228
+
229
+ 58
230
+ 00:04:49,500 --> 00:04:57,070
231
+ ุนุงุฆู„ุฉูŠุนุทูŠ ุงุฎุชูŠุงุฑ ุจูŠ ููŠ ุงู„ูˆุงู‚ุน ููŠ ุงู„ุญู‚ูŠู‚ุฉ ู‡ุฐุง ุจูŠ
232
+
233
+ 59
234
+ 00:04:57,070 --> 00:05:01,930
235
+ ุบูŠุฑ ู…ุนุฑูˆู ูŠุนู†ูŠ
236
+
237
+ 60
238
+ 00:05:01,930 --> 00:05:06,270
239
+ ููŠ ุญุงู„ุงุช ุญู‚ูŠู‚ูŠุฉ ููŠ ู…ุนู†ู‰ ูุนุงู„ ู‡ุฐุง ุจูŠ ุบูŠุฑ ู…ุนุฑูˆู ู„ูŠุณ
240
+
241
+ 61
242
+ 00:05:06,270 --> 00:05:11,850
243
+ ู…ู…ู†ุญ ู„ู†ุง ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุฎุชู… ู‡ุฐุง ุจูŠ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฎุชู…ู‡ ุจูŠ
244
+
245
+ 62
246
+ 00:05:11,850 --> 00:05:18,210
247
+ ุจุงุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ ุจูŠ ุงู„ู…ุฌู…ูˆุนุฉ ุจูŠ ู‡ุฐุง ุจูŠ ูŠุณู…ู‰ ู…ุฌู…ูˆุนุฉ
248
+
249
+ 63
250
+ 00:05:18,210 --> 00:05:19,230
251
+ ุฃูˆ ู…ุฌู…ูˆุนุฉ
252
+
253
+ 64
254
+ 00:05:24,060 --> 00:05:29,480
255
+ ุงู„ู†ุณุจุฉ ู‡ูŠ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
256
+
257
+ 65
258
+ 00:05:29,480 --> 00:05:29,540
259
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
260
+
261
+ 66
262
+ 00:05:29,540 --> 00:05:31,240
263
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
264
+
265
+ 67
266
+ 00:05:31,240 --> 00:05:33,220
267
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
268
+
269
+ 68
270
+ 00:05:33,220 --> 00:05:35,320
271
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
272
+
273
+ 69
274
+ 00:05:35,320 --> 00:05:35,320
275
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
276
+
277
+ 70
278
+ 00:05:35,320 --> 00:05:35,520
279
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
280
+
281
+ 71
282
+ 00:05:35,520 --> 00:05:37,460
283
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุง
284
+
285
+ 72
286
+ 00:05:40,300 --> 00:05:44,480
287
+ ุงู„ู†ุณุจุฉ ู„ู„ุทู„ุงุจ ุงู„ู„ูŠ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ
288
+
289
+ 73
290
+ 00:05:44,480 --> 00:05:49,100
291
+ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ
292
+
293
+ 74
294
+ 00:05:49,100 --> 00:05:53,640
295
+ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ
296
+
297
+ 75
298
+ 00:05:53,640 --> 00:05:57,860
299
+ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ ู‚ู…ุช ุจู…ุฌุงุฑุฉ
300
+
301
+ 76
302
+ 00:05:57,860 --> 00:05:57,860
303
+ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰
304
+
305
+ 77
306
+ 00:05:57,860 --> 00:05:58,900
307
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ
308
+
309
+ 78
310
+ 00:05:58,900 --> 00:05:58,940
311
+ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„
312
+
313
+ 79
314
+ 00:05:58,940 --> 00:05:59,280
315
+ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ
316
+
317
+ 80
318
+ 00:05:59,280 --> 00:05:59,980
319
+ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู‚ุชุตุงุฏ
320
+
321
+ 81
322
+ 00:05:59,980 --> 00:06:03,490
323
+ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุจุงู„ุนุงุฏุฉ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุงูˆ
324
+
325
+ 82
326
+ 00:06:03,490 --> 00:06:08,770
327
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ 1 ุฏุนู†ุง ู†ุณู…ูŠู‡ุง ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
328
+
329
+ 83
330
+ 00:06:08,770 --> 00:06:13,030
331
+ ุนู„ู‰ ู†ุณุจุฉ ุฒูŠ ุงู„ุจุฑุณู†ุชุฌ ููŠ ุงู„ุณุชุงุชูŠุณุชูƒ ุจู†ุณู…ูŠู‡ุง ู…ู‚ุงุฑู†ุฉ
332
+
333
+ 84
334
+ 00:06:13,030 --> 00:06:20,970
335
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงุฏุฉ ุจูŠู† 0 ูˆ 1 ู„ุฐู„ูƒ ู‡ูŠ ู‚ูŠู…ุฉ ุบูŠุฑ ู†ุงุฌุญุฉ
336
+
337
+ 85
338
+ 00:06:20,970 --> 00:06:28,110
339
+ ุจูŠู† 0 ูˆ 1 ุงู„ุขู† ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ู‚ุงุฑู†ุฉ Z ู„ูƒู† ุนู„ูŠู†ุง
340
+
341
+ 86
342
+ 00:06:30,110 --> 00:06:33,850
343
+ ุชุฃูƒุฏ ุฃู† ุจุนุถ ุงู„ูˆุงุถุญุงุช ู…ูู‡ูˆู…ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฃู†ู†ุง
344
+
345
+ 87
346
+ 00:06:33,850 --> 00:06:35,990
347
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€ Central Limit Theorem ุฅุฐุง ูƒุงู†
348
+
349
+ 88
350
+ 00:06:35,990 --> 00:06:39,590
351
+ ุงู„ู€ N ูƒุจูŠุฑ ุจู…ุง ูŠูƒููŠ ูˆู†ุญู† ู†ุชุฃูƒุฏ ู…ู† ูƒู… ูƒุจูŠุฑ ูƒูุงูŠุฉ
352
+
353
+ 89
354
+ 00:06:39,590 --> 00:06:42,670
355
+ ูƒูุงูŠุฉ ูƒูุงูŠุฉ ุฅุฐุง ูƒุงู† ุงู„ู€ N ุฃูƒุจุฑ ู…ู† 30 ูˆู‡ูˆ ู…ุง ูƒุงู†
356
+
357
+ 90
358
+ 00:06:42,670 --> 00:06:46,030
359
+ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Sample Means ุงู„ุฎุฏุงุฉ ุงู„ุฃูˆู„ุฉ ุนู„ู‰ ุงู„ู€
360
+
361
+ 91
362
+ 00:06:46,030 --> 00:06:49,550
363
+ Sample Mean ูƒุงู†ุช N ูƒุจูŠุฑุฉ ุชูƒูˆู† N ุฃูƒุจุฑ ู…ู† 30 ู„ู€ for
364
+
365
+ 92
366
+ 00:06:49,550 --> 00:06:53,030
367
+ most distributions ูƒู…ุง ุฐูƒุฑู†ุง ุฃูŠุถู‹ุง ู„ู€ Fair
368
+
369
+ 93
370
+ 00:06:53,030 --> 00:06:57,640
371
+ Distribution ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 15ุงู„ุงู† ู„ู„ู…ู‚ุงุฑู†ุฉ
372
+
373
+ 94
374
+ 00:06:57,640 --> 00:07:04,000
375
+ ู„ุฏูŠู†ุง ุญุงู„ุฉ ู…ุฎุชู„ูุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู… ุจุชู‚ุฑูŠุฑ ู‡ุฐู‡
376
+
377
+ 95
378
+ 00:07:04,000 --> 00:07:08,760
379
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุฅู„ู‰ ู…ู‚ุงุฑู†ุฉ ุนุงุฏูŠุฉ ุฅุฐุง ูƒุงู†ุช ู„ุฏูŠู†ุง ุงุซู†ูŠู†
380
+
381
+ 96
382
+ 00:07:08,760 --> 00:07:15,380
383
+ ุญุงู„ุงุช ุฑู‚ู… ูˆุงุญุฏ ู† ู…ุฑุฉ ุจูŠ ู‡ูˆ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณ ู† ู…ุฑุฉ ุจูŠ
384
+
385
+ 97
386
+ 00:07:15,380 --> 00:07:20,000
387
+ ู‡ูˆ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจูŠ ู‡ูˆ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
388
+
389
+ 98
390
+ 00:07:26,860 --> 00:07:30,200
391
+ ุฅุฐุง ุฏูˆู„ ุงู„ conditions ุงู„ู„ูŠ ุนู†ุฏูƒ ุจุฏู„ ู…ุง ู†ุญูƒูŠ n ุฃูƒุจุฑ
392
+
393
+ 99
394
+ 00:07:30,200 --> 00:07:34,840
395
+ ู…ู† ุชู„ุงุชูŠู† ุฃูˆ ุฎู…ุณุชุงุด ู†ุญูƒูŠ n times b ุชูƒูˆู† ุฃูƒุจุฑ ู…ู†
396
+
397
+ 100
398
+ 00:07:34,840 --> 00:07:38,760
399
+ ุณูˆู‰ ุฎู…ุณุชุงุด n times one minus pi is at least five
400
+
401
+ 101
402
+ 00:07:38,760 --> 00:07:47,100
403
+ in addition ุงู„ mean ู„ู„ b equal by the mean of the
404
+
405
+ 102
406
+ 00:07:47,100 --> 00:07:51,590
407
+ similar proportion equal by and sigma of bู…ุฆุฉ
408
+
409
+ 103
410
+ 00:07:51,590 --> 00:07:54,630
411
+ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
412
+
413
+ 104
414
+ 00:07:54,630 --> 00:07:54,970
415
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
416
+
417
+ 105
418
+ 00:07:54,970 --> 00:07:58,490
419
+ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
420
+
421
+ 106
422
+ 00:07:58,490 --> 00:07:59,970
423
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
424
+
425
+ 107
426
+ 00:07:59,970 --> 00:08:01,770
427
+ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
428
+
429
+ 108
430
+ 00:08:01,770 --> 00:08:01,850
431
+ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
432
+
433
+ 109
434
+ 00:08:01,850 --> 00:08:02,290
435
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
436
+
437
+ 110
438
+ 00:08:02,290 --> 00:08:14,870
439
+ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏ ู…ู‚ุงุฑ
440
+
441
+ 111
442
+ 00:08:15,230 --> 00:08:19,350
443
+ Sigma over square root of N ูˆSigma of X bar is the
444
+
445
+ 112
446
+ 00:08:19,350 --> 00:08:30,130
447
+ standard error of the sample mean ู†ูุณ
448
+
449
+ 113
450
+ 00:08:30,130 --> 00:08:35,290
451
+ ุงู„ุฌุซุฉ Sigma of B is the standard error of mean of
452
+
453
+ 114
454
+ 00:08:35,290 --> 00:08:40,310
455
+ B of the sample proportion Now how can we
456
+
457
+ 115
458
+ 00:08:40,310 --> 00:08:45,280
459
+ transform to this scoreุจุงู„ุนุงู…ุฉ ุงู„ู€ z-score ูƒู…ุง
460
+
461
+ 116
462
+ 00:08:45,280 --> 00:08:52,040
463
+ ุฐูƒุฑุช ููŠ ุงู„ุญู„ู‚ุฉ 3 ูˆ6 ูƒุงู†ุช z-score x minus its mean
464
+
465
+ 117
466
+ 00:08:52,040 --> 00:09:00,420
467
+ over its standard deviation ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู‚ูŠู…ุฉ x minus
468
+
469
+ 118
470
+ 00:09:00,420 --> 00:09:04,860
471
+ its meanivided by sigma of xุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ุฐุง ุงู„ z
472
+
473
+ 119
474
+ 00:09:04,860 --> 00:09:08,120
475
+ -score ุฃุฎุฏุชู‡ ููŠ ุงู„ุญู„ู‚ุฉ 3 ูŠู…ูƒู†ูƒ ุชุทุจูŠู‚ ู‡ุฐุง ุงู„ z
476
+
477
+ 120
478
+ 00:09:08,120 --> 00:09:16,950
479
+ -scoreู„ู€ B ูู†ุญู† ูู‚ุท ู†ุชุบูŠู‘ุฑ ู‡ุฐุง ุฅู„ู‰ B ูู‚ุท ุชุบูŠู‘ุฑ X
480
+
481
+ 121
482
+ 00:09:16,950 --> 00:09:20,090
483
+ ุจูŠ
484
+
485
+ 122
486
+ 00:09:20,090 --> 00:09:25,830
487
+ ุจูŠ ูู‡ูˆ B ู…ุงู†ูˆุณ ู…ูŠู† ุจูŠ ุนุดุงู† ุณูŠุฌู…ู‡ ุจูŠ ู‡ุฐุง ู‡ูˆ ู†ุชูŠุฌุฉ
488
+
489
+ 123
490
+ 00:09:25,830 --> 00:09:30,910
491
+ ุงู„ู€ New Z ูู‡ูˆ ุจุงู„ุถุจุท ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู„ุฏูŠู†ุง ููŠ
492
+
493
+ 124
494
+ 00:09:30,910 --> 00:09:39,170
495
+ ุงู„ุญู„ู‚ุฉ 6 ุฃูˆ 3 ูู‚ุท ุชุบูŠู‘ุฑ ู‡ุฐุง X ุจูŠ ุจูŠ ูˆุงุถุญุŸุงู„ู…ูˆุถูˆุน
496
+
497
+ 125
498
+ 00:09:39,170 --> 00:09:44,210
499
+ ุงู„ูŠูˆู… ุจุชุชูƒู„ู… ุนู† Distribution of B ูุจุงู„ุชุงู„ูŠ ูƒู„ู‡
500
+
501
+ 126
502
+ 00:09:44,210 --> 00:09:48,930
503
+ ู‡ุชุนู…ู„ ุงูŠู‡ุŸ ู‡ุชุฎูŠู„ X ูˆ ุชุญุท ุจูŠู‡ ุตุงุฑุช ุงู„ B minus ุงู„
504
+
505
+ 127
506
+ 00:09:48,930 --> 00:09:54,150
507
+ mean ู„ู„ ุจูŠ ุนู„ู‰ sigma ู„ู„ ุจูŠ ุงู„ mean ู„ู„ ุจูŠ ู‡ูŠ ุจูŠ ุฅุฐุง
508
+
509
+ 128
510
+ 00:09:54,150 --> 00:10:02,130
511
+ ุฃู†ุง ุฏู‡ ู‡ุชุณุงูˆูŠ ุจูŠ minus ุจูŠ over sigma ุจูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
512
+
513
+ 129
514
+ 00:10:02,130 --> 00:10:08,420
515
+ ุงู„ู„ูŠ ู‡ูŠ ุจูŠ one minus ุจูŠ over Nุฃู†ุง ุนุงุฏุฉ ููŠ ุงู„ุงู…ุชุญุงู†
516
+
517
+ 130
518
+ 00:10:08,420 --> 00:10:12,120
519
+ ุจุงุนุทูŠูƒ ุงู„ุงุชู†ูŠู† ู‡ุฐูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mean ู„ู„ ุจูŠู‡ ุจูŠุณุงูˆูŠ
520
+
521
+ 131
522
+ 00:10:12,120 --> 00:10:15,180
523
+ ุจุงูŠ ูˆ ุงู„ sigma ู„ู„ ุจูŠู‡ ุจูŠุณุงูˆูŠ square root of pi 1
524
+
525
+ 132
526
+ 00:10:15,180 --> 00:10:20,440
527
+ minus pi over n this will be given as in the
528
+
529
+ 133
530
+ 00:10:20,440 --> 00:10:24,080
531
+ formula sheet in the final exam ุฎู„ุงุตุŸ ุฅุฐุง ุงู„ู‚ูˆุงู†ูŠู†
532
+
533
+ 134
534
+ 00:10:24,080 --> 00:10:28,740
535
+ ู‡ุฐู‡ ุจุงุนุทูŠูƒ ุฅูŠุงู‡ุง ู„ูƒู† ูƒูŠู ุชุญูˆู„ูŠ ู„ู„ z ุดุบู„ูƒ ุงู†ุชุŸ
536
+
537
+ 135
538
+ 00:10:28,740 --> 00:10:33,540
539
+ ุฎู„ุงุตุŸ ู„ุฃู† ุงู„ z ู‡ูŠ ุงู„ standard form ู‡ูŠุง ุฃู†ุชู… ู…ุนุงูŠุง
540
+
541
+ 136
542
+ 00:10:33,540 --> 00:10:39,190
543
+ ูˆู„ุง ูƒุฐุงุŸุจุงู„ุนุฑุจูŠ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ z-score ู‡ูŠู‡ ุจุงุถุญุŸ
544
+
545
+ 137
546
+ 00:10:39,190 --> 00:10:43,450
547
+ ุจุชุญูˆู„ูŠ ุงู„ z-score ุญุณุจ ุงู„ู…ุณุฃู„ุฉ ุฅุฐุง ุจุชูƒู„ู… ุนู„ู‰
548
+
549
+ 138
550
+ 00:10:43,450 --> 00:10:47,510
551
+ proportion ุฃู†ุง ุจุนุทูŠูƒ ุงู„ู‚ุงู†ูˆู†ูŠู† ุงู„ุฃุซู†ูŠู† ู‡ุฏูˆู„ ุฅูŠุด
552
+
553
+ 139
554
+ 00:10:47,510 --> 00:10:53,250
555
+ ู‡ุชุนู…ู„ูŠ ุจุณู„ุงู…ุชูƒุŸ ู‡ุชุดูŠู„ูŠ x ูˆ ุชุญุท ุจูŠู‡ ูˆ ุจุณ ูˆู‡ูŠ
556
+
557
+ 140
558
+ 00:10:53,250 --> 00:10:55,450
559
+ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ูˆุฌูˆุฏุฉ ุจุงุถุญุŸ
560
+
561
+ 141
562
+ 00:10:57,860 --> 00:11:00,980
563
+ ู†ุงุฎุฏ exampleุŒ ู„ุฐุง ู‡ูŠ ุงู„ู€ z equal b minus y ุนู„ู‰
564
+
565
+ 142
566
+ 00:11:00,980 --> 00:11:04,280
567
+ sigma ู„ู„ู€ b ูˆู‡ูŠ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ ู…ุน ุจุนุถ ุฎู„ู‘ูŠ
568
+
569
+ 143
570
+ 00:11:04,280 --> 00:11:07,880
571
+ ุจุงู„ูƒ ููŠ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ู…ุงุจุนุทูŠูƒูŠุด ุงู„ z ู‡ุงุฏุฆ ุฃู†ุช
572
+
573
+ 144
574
+ 00:11:07,880 --> 00:11:11,600
575
+ ุจุชุทู„ุนูŠู‡ ู„ุญุงู„ูƒุŒ ู„ูƒู† ุจูŠุนุทูŠูƒ ุงู„ z ุงู„ุนุงุฏู‰ุŒ ุงู„ x ู†ู‚ุต ุงู„
576
+
577
+ 145
578
+ 00:11:11,600 --> 00:11:16,600
579
+ main ุชุจุนู‡ุง ุนู„ู‰ ุงู„ sigmaุŒ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุงู„ู„ูŠ ุฃู†ุง
580
+
581
+ 146
582
+ 00:11:16,600 --> 00:11:23,440
583
+ ุดุงูŠูู‡ ุงู„ูˆุฌูˆู‡ ุบูŠุฑ ู…ุจุดุฑุฉุŒ ูˆุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠู‡ ูƒู„ู‡ ู…ูƒุฑุฑุŒ
584
+
585
+ 147
586
+ 00:11:23,440 --> 00:11:25,760
587
+ ุงู„ู„ูŠ ุญูƒูŠุชู‡ ููŠ ุชู„ุงุชุฉ ูƒุฑุฑู†ุงู‡ุง ููŠ ุณุชุฉ ูƒุฑุฑู†ุงู‡ุง ููŠ ุณุจุนุฉ
588
+
589
+ 148
590
+ 00:11:26,960 --> 00:11:32,200
591
+ ู‡ูˆ ู‚ุงู†ูˆู† ูˆุงุญุฏ ุจุณ ู‡ู‰ ุชุฐูƒุฑ ููŠ chapter 7 ุจุฑุถู‡ ุญูƒูŠู†ุง
592
+
593
+ 149
594
+ 00:11:32,200 --> 00:11:37,300
595
+ ุนู† ุงู„ X bar ู…ุง ูƒู†ุง ู†ุนู…ู„ู‡ ููŠ ุงู„ Z ุฏู‡ ููŠ chapter 7
596
+
597
+ 150
598
+ 00:11:37,300 --> 00:11:41,800
599
+ ุฌุฏูŠุฏ ุนู…ู„ู†ุงู‡ุง X bar minus ุงู„ mean ุงู„ูˆ ุนู„ู‰ ุงู„ sigma
600
+
601
+ 151
602
+ 00:11:41,800 --> 00:11:45,600
603
+ ุงู„ูˆ ู…ุด ู‡ูŠูƒ ูˆุญูƒูŠู†ุง X bar minus ุงู„ mean ุงู„ูˆ ู…ูŠูˆ
604
+
605
+ 152
606
+ 00:11:45,600 --> 00:11:49,100
607
+ ูˆู‡ุงุฏูŠ ุงู„ sigma ุนู„ู‰ ุงู„ square ูˆุทุจุนุง ูˆุงุถุญ ุญุฏ ู…ุด ุฌุฏูŠุฏ
608
+
609
+ 153
610
+ 00:11:49,100 --> 00:11:52,520
611
+ ู„ุฅู† ุงู†ุง ุจูƒูˆู† ุนุงุฑู ุงู† ุงู„ mean ุนู„ู‰ ุงู„ X bar ุจุณู…ุฉ ู…ูŠูˆ
612
+
613
+ 154
614
+ 00:11:52,520 --> 00:11:55,380
615
+ ุงูˆ ุงู†ุง ุจุนุทูŠูƒ ุงูŠุงู‡ุง ูˆ sigma X bar sigma over sigma
616
+
617
+ 155
618
+ 00:11:58,110 --> 00:12:02,890
619
+ ุงูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ู‡ุฏูˆู„ุฉ ุชุฐูƒุฑ ุงู„ sample meanุŸ ูƒู†ุง ุจูŠุญูƒูŠ
620
+
621
+ 156
622
+ 00:12:02,890 --> 00:12:04,850
623
+ we can apply the central limit theorem if n is
624
+
625
+ 157
626
+ 00:12:04,850 --> 00:12:08,910
627
+ above 30 ูƒุงู† ููŠ conditions ู‡ุฏูˆู„ุฉ ุงู„ conditions
628
+
629
+ 158
630
+ 00:12:08,910 --> 00:12:12,930
631
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุนุดุงู† ู†ู‚ุฏุฑ ู†ุณุชุฎุฏู… ุงู„ central limit
632
+
633
+ 159
634
+ 00:12:12,930 --> 00:12:17,320
635
+ theorem ุนุดุงู† ุงู‚ุฏุฑ ุงุณุชุฎุฏู… z tableู„ุงุฒู… ุฃุชุฃูƒุฏ ุงู„ุดุฑุทูŠู†
636
+
637
+ 160
638
+ 00:12:17,320 --> 00:12:21,360
639
+ ู‡ุฏูˆู„ุฉ ู…ุงู„ู‡ู… satisfied ู…ุชุญู‚ู‚ูŠู† ู…ุงูƒุงู†ูˆุด ู…ูŠู†ูุนุด
640
+
641
+ 161
642
+ 00:12:21,360 --> 00:12:24,000
643
+ ุฃุณุชุฎุฏู… ุงู„ู€ central in it ุฅุฐุง ููŠ ู…ุณุฃู„ุฉ ุงู„
644
+
645
+ 162
646
+ 00:12:24,000 --> 00:12:28,260
647
+ proportion ุฌุงู„ู…ุง ุชุญู„ูŠ ุงู„ู…ุณุฃู„ุฉ ู„ุงุฒู… ุชุชุฃูƒุฏูŠ ุฃู† ุงู„
648
+
649
+ 163
650
+ 00:12:28,260 --> 00:12:33,640
651
+ two conditions are satisfied ุฎู„ุงุต ู†ุงุฎุฏ
652
+
653
+ 164
654
+ 00:12:33,640 --> 00:12:41,040
655
+ example ูˆ ู†ุดูˆู ูƒูŠู ู†ุญู„ ุนุดุงู†
656
+
657
+ 165
658
+ 00:12:41,040 --> 00:12:43,560
659
+ ูƒุฏู‡ ู„ุงุฒู… ุฃุนุทูŠ quiz ูˆู„ุง ู…ู† ุบูŠุฑ ุงู„ quizูŠุฉ ุชุญูƒู… ุงู„ูˆุถุน
660
+
661
+ 166
662
+ 00:12:46,260 --> 00:12:55,820
663
+ ุตุนุจ ู…ุซู„ู‹ุง ุงุชู†ูŠู† if the true proportion in
664
+
665
+ 167
666
+ 00:12:55,820 --> 00:13:02,540
667
+ general in statistics if we
668
+
669
+ 168
670
+ 00:13:02,540 --> 00:13:06,980
671
+ are talking about true proportion it means
672
+
673
+ 169
674
+ 00:13:06,980 --> 00:13:08,160
675
+ population proportion
676
+
677
+ 170
678
+ 00:13:13,280 --> 00:13:16,400
679
+ ูŠุนู†ูŠ ู„ู…ุง ุจุญูƒูŠ ู„ูƒ true ู…ุนู†ุงู‡ ุงู„ proportion ุงู„ูุนู„ูŠ
680
+
681
+ 171
682
+ 00:13:16,400 --> 00:13:20,740
683
+ ุจุชูƒู„ู… ุนู„ู‰ ุงู„ entire population ูุงู„ true ููŠ ุงู„
684
+
685
+ 172
686
+ 00:13:20,740 --> 00:13:25,240
687
+ statistics ู…ุนู†ุงู‡ุง ุงู„ population ูˆ ุงู„ proportion if
688
+
689
+ 173
690
+ 00:13:25,240 --> 00:13:28,140
691
+ the true proportion ูˆุงุถุญ ู„ู…ุง ุจุญูƒูŠ true ู…ุนู†ุงู‡ ู„ู…ูŠู†
692
+
693
+ 174
694
+ 00:13:28,140 --> 00:13:31,580
695
+ ู„ู„ population ูƒูƒู„ ู„ู…ุง ููŠ ุนู†ุฏ population ูˆ sample
696
+
697
+ 175
698
+ 00:13:31,580 --> 00:13:34,300
699
+ and we have to distinguish between these sample
700
+
701
+ 176
702
+ 00:13:34,300 --> 00:13:37,060
703
+ and proportion how can you distinguish it's very
704
+
705
+ 177
706
+ 00:13:37,060 --> 00:13:41,080
707
+ easy if it says true it means we are talking about
708
+
709
+ 178
710
+ 00:13:41,080 --> 00:13:44,580
711
+ populationุฎู„ุงุต ู„ู…ุง ุชูƒูˆู† ุงู„ sample ุชูƒูˆู† ูˆุงุถุญุฉ ุจุญูƒูŠ
712
+
713
+ 179
714
+ 00:13:44,580 --> 00:13:49,960
715
+ ู„ูƒ ุนูŠู†ุฉ ูˆ ู‡ูƒุฐุง ุฅุฐุง if the true proportion of
716
+
717
+ 180
718
+ 00:13:49,960 --> 00:13:54,500
719
+ voters who support proposition a is point four
720
+
721
+ 181
722
+ 00:13:54,500 --> 00:13:59,100
723
+ this means by equals point four even if the
724
+
725
+ 182
726
+ 00:13:59,100 --> 00:14:03,060
727
+ problem does not mention this by you have to know
728
+
729
+ 183
730
+ 00:14:03,060 --> 00:14:06,300
731
+ this is by not by ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุญุชู‰ ููŠ ุงู„ู…ุซู„
732
+
733
+ 184
734
+ 00:14:06,300 --> 00:14:11,840
735
+ ู…ุงุญูƒูŠุชุด by ูˆุญูƒูŠุช through ุงู„ true ุฏู‡ ู…ุนู†ุงู‡ุง ุฅูŠุดุŸ
736
+
737
+ 185
738
+ 00:14:13,600 --> 00:14:16,440
739
+ population ูˆุฒูŠ ู…ุง ุญูƒูŠุช population ูˆ proportion
740
+
741
+ 186
742
+ 00:14:16,440 --> 00:14:22,220
743
+ ู‡ุนุทูŠู‡ ุฑู…ุฒ ุจุงูŠ ูˆ ุงู„ sample ุจูŠุนุทูŠู‡ุง ุฑู…ุฒ ุจูŠู‡ ุฅุฐุง ุงู„
744
+
745
+ 187
746
+ 00:14:22,220 --> 00:14:26,520
747
+ by equal 0.4 ุงู„ุณุคุงู„ what's the probability that ..
748
+
749
+ 188
750
+ 00:14:26,520 --> 00:14:33,940
751
+ ุฅูŠุด ุงุญุชู…ุงู„ that a sample of size 200 yields
752
+
753
+ 189
754
+ 00:14:33,940 --> 00:14:37,920
755
+ a sample of proportion between 0.4 and 0.45 ุฅูŠุด ุงู„
756
+
757
+ 190
758
+ 00:14:37,920 --> 00:14:41,300
759
+ probability ุงู„ sample .. ู„ุญุธุฉ ุจูŠุญูƒูŠ sample of
760
+
761
+ 191
762
+ 00:14:41,300 --> 00:14:47,320
763
+ proportionุจูŠู† 0.4 ูˆ
764
+
765
+ 192
766
+ 00:14:47,320 --> 00:14:55,760
767
+ 0.45 ู†ุจุญุซ ุนู† ู‡ุฐุง ุงู„ูˆุงู‚ุน ุงู„ุฃูˆู„
768
+
769
+ 193
770
+ 00:14:55,760 --> 00:15:01,120
771
+ ูŠุฌุจ ุฃู† ู†ุชุฃูƒุฏ ุฃู† ุงู„ุงู†ุชุฌุงุฑูŠู† ุงู„ู…ุชูˆุงูู‚ูŠู† ููŠ ุงู„ุฃูˆู„
772
+
773
+ 194
774
+ 00:15:01,120 --> 00:15:07,600
775
+ ุจุฃุชุฃูƒุฏ ุฃู† ุงู„ุดุฑุทูŠู† ู…ุงู„ู‡ู… ู…ุชุญู‚ูŠู‚ูŠู† ุฅุฐุง ุฌุนู„ู†ุง ุฃุดุชุบู„
776
+
777
+ 195
778
+ 00:15:07,600 --> 00:15:19,740
779
+ ุงู„ู…ุซู„ุฉ ุงู„ุดุฑุท ุงู„ุฃูˆู„ N X YN equals 200 X Y Y ู‡ูˆ 0.4
780
+
781
+ 196
782
+ 00:15:19,740 --> 00:15:31,240
783
+ 200 X 0.4 ู‡ูˆ 80 ู‡ุฐุง ุงู„ุดุฑุท ุงู„ู„ูŠ ู„ุฏูŠ ุฃู†ู‡ ุฃูƒุจุฑ ู…ู†
784
+
785
+ 197
786
+ 00:15:31,240 --> 00:15:36,240
787
+ ุฎู…ุณุฉ ุฃูˆ ูŠุตุจุญ ุฎู…ุณุฉ ูˆุงุถุญ ู‡ุฐู‡ ู…ุงู„ู‡ุง ุฅุฐุง ุงู„ุดุฑุท ุงู„ุฃูˆู„
788
+
789
+ 198
790
+ 00:15:36,240 --> 00:15:50,410
791
+ ู…ูู‡ูˆู… ุงู„ุดุฑุท ุงู„ุชุงู†ูŠN X 1-Pi 920
792
+
793
+ 199
794
+ 00:15:50,410 --> 00:15:58,310
795
+ ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ุญุงู„ุฉ ูˆุงุถุญ ุงู„ุฃูˆู„ 80 ุงู„ุชุงู†ูŠ 120
796
+
797
+ 200
798
+ 00:15:58,310 --> 00:16:07,110
799
+ ุงู„ุชุงู†ูŠ ู…ุณุชู…ุชุน ุชุฃูƒุฏ ุฃู† ูƒู„ุง ุงู„ุงุซู†ูŠู† ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง
800
+
801
+ 201
802
+ 00:16:07,110 --> 00:16:11,930
803
+ ู…ุณุชู…ุชุนูŠู†ูŠุนู†ูŠ if one is satisfied and the other one
804
+
805
+ 202
806
+ 00:16:11,930 --> 00:16:14,550
807
+ is not so we cannot apply the central limit
808
+
809
+ 203
810
+ 00:16:14,550 --> 00:16:18,690
811
+ theorem ูŠุนู†ูŠ ู„ุงุฒู… ุงู„ุดุฑุทูŠู† ูŠุชุญู‚ู‚ูˆุง ูˆุงุถุญ ุฃู† ุงู„ุดุฑุท
812
+
813
+ 204
814
+ 00:16:18,690 --> 00:16:22,550
815
+ ุงู„ุฃูˆู„ is okay ูˆ ุงู„ุชุงู†ูŠ is okay ู„ุญุธุฉ ู„ูˆ ุทู„ุน ุงู„ุฃูˆู„
816
+
817
+ 205
818
+ 00:16:22,550 --> 00:16:35,470
819
+ 80 ุงู„ุชุงู†ูŠ ู…ู† ุบูŠุฑ ู…ุญุณุจู‡ ู‡ูŠุชู„ุน ู…ู„ุงูˆุŸ ู‡ูŠุชู„ุน ุงู„ .. ู„ูˆ
820
+
821
+ 206
822
+ 00:16:35,470 --> 00:16:37,830
823
+ ุงู„ุฃูˆู„ 80 ู…ู† ุบูŠุฑ ู…ุญุณุจ ุงู„ุชุงู†ูŠ ู…ุด ู‡ูŠุณุงูˆูŠ
824
+
825
+ 207
826
+ 00:16:52,490 --> 00:17:04,550
827
+ ุฅุฐุง ุงู†ุง ูƒุฐุง
828
+
829
+ 208
830
+ 00:17:04,550 --> 00:17:09,470
831
+ ุญุณุจุช ุงู„ N ุจูŠ ูˆ N times 1 minus ุจูŠูˆุฅุฐุง ูƒุงู†ุช ูƒู„ุง
832
+
833
+ 209
834
+ 00:17:09,470 --> 00:17:12,770
835
+ ุงู„ุญุงู„ุงุช ู…ูู‡ูˆู…ุฉ ูุจุนุฏ ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุณุชุทูŠุน ุฃู†
836
+
837
+ 210
838
+ 00:17:12,770 --> 00:17:18,890
839
+ ู†ุณุชู…ุฑ ูˆู†ุฌุฏ ู‡ุฐู‡ ุงู„ู…ูู‡ูˆู…ุฉ ูู‡ุฐู‡ ุฃูˆู„ ุญุงุฌุฉ ุจู‚ู‰ ู…ู„ู‡ุง
840
+
841
+ 211
842
+ 00:17:18,890 --> 00:17:23,410
843
+ ูƒุชุจูŠู‡ุง ุนู†ุฏูƒ ู„ุฃู† ู‡ู†ุง ููŠ ุงู„ slide ู„ูŠุณุช ู…ูƒุชูˆุจุฉ ู„ุงุฒู…
844
+
845
+ 212
846
+ 00:17:23,410 --> 00:17:31,650
847
+ ุงุชุฃูƒุฏ ุงู† ุงุชูˆ ุญุงู„ุงุช ู…ูู‡ูˆู…ุฉ Nร—Pi ุฃู‚ู„ ู…ู† 5 ูˆNร—1-Pi
848
+
849
+ 213
850
+ 00:17:31,650 --> 00:17:36,310
851
+ ุฃูŠุถุง ุฃู‚ู„ ู…ู† 5ู„ูˆ ูƒุงู†ูˆุง ู…ุด ู…ุชุญู‚ู‚ูŠู† ุงุญูƒูŠ ุงู†ู‡ ุบูŠุฑ
852
+
853
+ 214
854
+ 00:17:36,310 --> 00:17:40,370
855
+ ู…ุชุญู‚ู‚ูŠู† and we cannot continue ุจุบูŠุฑ ุนุดุงู† ุงูƒู…ู„ ู„ุง
856
+
857
+ 215
858
+ 00:17:40,370 --> 00:17:45,890
859
+ ุจุชูƒู…ู„ุด ุงู„ู…ุซู„ุฉ ุงู„ุงู† ุงู„ุฎุทุจุฉ ุงู„ู…ุงู‚ุนุฉ ู‡ุชุทู„ุน ุงู„ู…ูŠู† ู„ู„
860
+
861
+ 216
862
+ 00:17:45,890 --> 00:17:54,170
863
+ ุจูŠ ุจุชุณูˆุก ุจุงูŠ ุงู„ by equals point four ูˆ
864
+
865
+ 217
866
+ 00:17:54,170 --> 00:18:00,010
867
+ ุงู„ sigma ู„ู„ ุจูŠ square root of by times one minus
868
+
869
+ 218
870
+ 00:18:00,010 --> 00:18:01,370
871
+ by divided by n
872
+
873
+ 219
874
+ 00:18:04,770 --> 00:18:08,870
875
+ ู‡ุฐุง ู‡ูˆ ุฅุฎุทุงุฑ ุนุงุฏู„ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ
876
+
877
+ 220
878
+ 00:18:08,870 --> 00:18:10,350
879
+ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ูˆุงุถุญุฉ
880
+
881
+ 221
882
+ 00:18:10,350 --> 00:18:13,870
883
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
884
+
885
+ 222
886
+ 00:18:13,870 --> 00:18:17,890
887
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
888
+
889
+ 223
890
+ 00:18:17,890 --> 00:18:21,530
891
+ ุงู„ูˆุงุถุญุฉ
892
+
893
+ 224
894
+ 00:18:21,530 --> 00:18:25,390
895
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
896
+
897
+ 225
898
+ 00:18:25,390 --> 00:18:25,390
899
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
900
+
901
+ 226
902
+ 00:18:25,390 --> 00:18:25,390
903
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
904
+
905
+ 227
906
+ 00:18:25,390 --> 00:18:26,610
907
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
908
+
909
+ 228
910
+ 00:18:31,740 --> 00:18:33,900
911
+ ู„ุงุฒู… ุงุชุนุฑู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ mean ู„ู„ู€ b ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ฯ€ุงูŠ
912
+
913
+ 229
914
+ 00:18:33,900 --> 00:18:37,020
915
+ ูˆ ุงู„ู€ sigma ู„ู„ู€ b ุจุงูŠ one minus pi over n under
916
+
917
+ 230
918
+ 00:18:37,020 --> 00:18:40,460
919
+ the square root ุงู„ู„ูŠ ุฃู†ุง ุจุญุงูˆู„ ุงู„ู…ุซู„ุฉ ู…ู† ุงู„
920
+
921
+ 231
922
+ 00:18:40,460 --> 00:18:46,900
923
+ proportion between point four and point four five
924
+
925
+ 232
926
+ 00:18:46,900 --> 00:18:54,660
927
+ ู„ุฒูŠ score ุจุญุงูˆู„ ู‡ุฐู‡ ู„ุฒูŠ score ุงู„ู‚ุงู†ูˆู†
928
+
929
+ 233
930
+ 00:18:54,660 --> 00:18:58,780
931
+ ุณู‡ู„ ุงู†ุช ุญุงูุธุงู‡ ูˆ ูุงู‡ู…ุงู‡ ู‡ุฐู‡ ุงู„ b ุงู„ู„ูŠ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูŠ
932
+
933
+ 234
934
+ 00:18:58,780 --> 00:19:09,690
935
+ ู‡ุฐู‡ ู…ุธุจูˆุท ู‡ุฐู‡ ู‡ูŠูƒ- ู…ูŠู†ุŸ ู†ู‚ุต ุงู„ู€ Y ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ู„ู†ู‚ุต
936
+
937
+ 235
938
+ 00:19:09,690 --> 00:19:15,550
939
+ ุงู„ู‚ูŠู…ุฉ ู‡ูŠ ู‡ุฐู‡ ุนู„ู‰ ุงู„ู€ Sigma ุฅู„ู‰ ุงู„ู€ B ุงู„ู„ูŠ ู‡ูŠ ู…ุด
940
+
941
+ 236
942
+ 00:19:15,550 --> 00:19:25,250
943
+ ู…ุชุณุงูˆูŠ ุฅู„ูŠู‡ุง ู‡ุฐุง ู…ุธุจูˆุท ูู‡ุฐุง ู‡ุชูŠุฌูŠ ู‡ู†ุง ุฅุฐุง
944
+
945
+ 237
946
+ 00:19:25,250 --> 00:19:28,970
947
+ ู‡ุฐูŠ B minus ุงู„ู€ Min ุฅู„ูŠู‡ุง ุนู„ู‰ ุงู„ู€ Sigma ุชุจุนุชู‡ุง ุฃู‚ู„
948
+
949
+ 238
950
+ 00:19:28,970 --> 00:19:34,970
951
+ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ู‡ุงูŠ ุงู„ู€ Z ุฃู‚ู„ ู…ู†ุฒูŠ ู…ุง ุนู…ู„ุช ู„ุฃูˆู„ู‰ ุจุนู…ู„
952
+
953
+ 239
954
+ 00:19:34,970 --> 00:19:44,250
955
+ ู„ุชุงู†ูŠุฉ ุฎู…ุณุฉ ูˆุงุฑุจุนูŠู† ู†ู‚ุต ุงู„ by ุงู„ู„ูŠ ุงู„ุงุฑุจุนุฉ ุนุฒูŠุฒูŠ
956
+
957
+ 240
958
+ 00:19:44,250 --> 00:19:49,430
959
+ ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุณุชุฉ ุงุฑุจุนุฉ ุงุฐุง ุงู„ two steps step one we
960
+
961
+ 241
962
+ 00:19:49,430 --> 00:19:51,230
963
+ have to make sure that the two conditions are
964
+
965
+ 242
966
+ 00:19:51,230 --> 00:19:56,130
967
+ satisfied then compute the mean of b and sigma of
968
+
969
+ 243
970
+ 00:19:56,130 --> 00:20:02,800
971
+ b and just convert b to z scoreุจุงุณุชุฎุฏุงู… B minus
972
+
973
+ 244
974
+ 00:20:02,800 --> 00:20:09,460
975
+ its mean over its standard error ู‡ุฐุง ุณุชุณุงูˆูŠ ู‡ุฐุง
976
+
977
+ 245
978
+ 00:20:09,460 --> 00:20:13,120
979
+ Zero ู„ูˆ
980
+
981
+ 246
982
+ 00:20:13,120 --> 00:20:17,820
983
+ ุญุณุจุชู‡ุง ุชู‚ุฑุฑ 1.44 ุฅุฐุงู‹
984
+
985
+ 247
986
+ 00:20:17,820 --> 00:20:23,260
987
+ ุญุณุงุจุงุช ุนุงุฏูŠุฉ ุดูˆููˆุง ู„ุบุงูŠุฉ ุงู„ู„ุญุธุฉ ู‡ู†ุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
988
+
989
+ 248
990
+ 00:20:23,260 --> 00:20:30,100
991
+ chapter 7 ุฃุฎุฏู†ุง ุงู„ูŠูˆู… ูˆุจุนุฏ ุฐู„ูƒู„ุชุทู„ุน probability of
992
+
993
+ 249
994
+ 00:20:30,100 --> 00:20:34,840
995
+ z between 0 and 1.44 ุงู„ steps ุงู„ู„ูŠ ุฌุงูŠุฉ ู„ chapter
996
+
997
+ 250
998
+ 00:20:34,840 --> 00:20:39,260
999
+ 6 ู…ุน ูƒุฏู‡ to understand 7 you have to make sure
1000
+
1001
+ 251
1002
+ 00:20:39,260 --> 00:20:45,580
1003
+ that you understand carefully chapter 6 so make
1004
+
1005
+ 252
1006
+ 00:20:45,580 --> 00:20:49,300
1007
+ sure that concepts of chapter 6 are understood
1008
+
1009
+ 253
1010
+ 00:20:49,300 --> 00:20:54,620
1011
+ then you can proceed and continue to chapter 7 now
1012
+
1013
+ 254
1014
+ 00:20:54,620 --> 00:21:00,070
1015
+ to find this probability between 0 and 1.44it's
1016
+
1017
+ 255
1018
+ 00:21:00,070 --> 00:21:04,670
1019
+ equal how can you find this probability between
1020
+
1021
+ 256
1022
+ 00:21:04,670 --> 00:21:12,370
1023
+ two values ูƒูŠู ู†ุญุณุจู‡ุง ุจูŠู† ู‚ูŠู…ุชูŠู† ุฃู‚ู„
1024
+
1025
+ 257
1026
+ 00:21:12,370 --> 00:21:17,230
1027
+ ู…ู† 1.44 ุงู„ุชุงู†ู‰
1028
+
1029
+ 258
1030
+ 00:21:17,230 --> 00:21:22,050
1031
+ ุงู„ู„ู‰ ู‡ู‰ ุงู„ zero ุงู„ุงู† ุจุชุทู„ุน ุนู„ู‰ ุงู„ table ุงู„ table
1032
+
1033
+ 259
1034
+ 00:21:22,050 --> 00:21:22,870
1035
+ ุงู„ู„ู‰ ู…ูˆุฌูˆุฏ ู…ุนุงูƒ
1036
+
1037
+ 260
1038
+ 00:21:28,170 --> 00:21:36,910
1039
+ ุจุชุทู„ุน ุนู„ู‰ 1.44 ู„ู€ positive z score ุทู„ุน
1040
+
1041
+ 261
1042
+ 00:21:36,910 --> 00:21:42,130
1043
+ ู‡ุงูŠ ุงู„ z ูˆ ู‡ุงูŠ ุงู„ positive we are looking for 1.4
1044
+
1045
+ 262
1046
+ 00:21:42,130 --> 00:21:49,890
1047
+ so this row under 4 so it's 9251
1048
+
1049
+ 263
1050
+ 00:22:01,380 --> 00:22:05,340
1051
+ ู„ูŠุด one minusุŸ ู‡ูŠ ู…ุงุนุทูŠูƒ ุงู„ z ุนู‚ู„ ุนู„ู‰ ุทูˆู„ุŒ ู„ูŠุด one
1052
+
1053
+ 264
1054
+ 00:22:05,340 --> 00:22:08,180
1055
+ minusุŸ ุฃู†ุง ุจุณุชุฎุฏู… ุงู„ one minus ุฅุฐุง ูƒุงู†ุช greater
1056
+
1057
+ 265
1058
+ 00:22:08,180 --> 00:22:15,060
1059
+ than ู‡ุฐุง ุงู„ z ุนู‚ู„ุŒ ุดูˆู ุงู„ table ูˆุงุถุญ ุงู„ table
1060
+
1061
+ 266
1062
+ 00:22:15,060 --> 00:22:19,180
1063
+ ุจูŠุนุทูŠ ุงู„ area ู„ู„ูŠ ูˆูŠู†ุŸ to the leftุŒ ูู…ู† ุบูŠุฑ ูˆุงุญุฏ
1064
+
1065
+ 267
1066
+ 00:22:19,180 --> 00:22:35,590
1067
+ minus ุฃู†ุชูˆุง ู…ุนูŠ ูˆู„ุง ูƒุฏู‡ุŸุทุจ ุฒูŠ ุฃู‚ู„ ู…ู† ุตูุฑ ู†ุต ุฃุทู„ุน
1068
+
1069
+ 268
1070
+ 00:22:35,590 --> 00:22:40,130
1071
+ ุฌุงุจ point four two five one ู‡ุฐุง ุงู„ example ุงู„ูˆุญูŠุฏ
1072
+
1073
+ 269
1074
+ 00:22:40,130 --> 00:22:46,190
1075
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู…ูˆุฌูˆุฏ ุฅุฐุง ุญูˆู„ุชู…ู† ุงู„ู€ sampling
1076
+
1077
+ 270
1078
+ 00:22:46,190 --> 00:22:49,890
1079
+ distribution ู„ู„ู€ B ุญูˆู„ุชู‡ ู„ู€ standardized .. ู„ู€
1080
+
1081
+ 271
1082
+ 00:22:49,890 --> 00:22:51,930
1083
+ standardized normal distribution ูˆุทุงู‚ุฉ ุงู„ู€ area
1084
+
1085
+ 272
1086
+ 00:22:51,930 --> 00:23:04,890
1087
+ between 0 ูˆ 1.44ูŠูƒู…ู„ 0.4251 ุณู‡ู„ ุฃู‡ ู„ุฃ
1088
+
1089
+ 273
1090
+ 00:23:04,890 --> 00:23:09,250
1091
+ for the same example suppose we are looking for
1092
+
1093
+ 274
1094
+ 00:23:09,250 --> 00:23:12,990
1095
+ probability
1096
+
1097
+ 275
1098
+ 00:23:14,460 --> 00:23:23,280
1099
+ of b greater than point six ูˆุนุงูŠุฒ
1100
+
1101
+ 276
1102
+ 00:23:23,280 --> 00:23:27,960
1103
+ ุญุฏ ูŠุญู„ู„ ุฅูŠู‡ุง probability ุงู„ similar proportion
1104
+
1105
+ 277
1106
+ 00:23:27,960 --> 00:23:33,760
1107
+ greater than point six ุญุฏ ุทุจุนู‡ ูŠุญู„ู„
1108
+
1109
+ 278
1110
+ 00:23:47,000 --> 00:23:56,420
1111
+ ูˆุงู†ุช ุจุชุญู„ ุงุชูƒู„ู…ู‡ ู‡ู„ู‚ูŠุชู‡ุง ู‡ุงู†ุŸ ู‡ุงู† ุงู„ุฅุดุงุฑุฉ ู‡ูŠ ุนูƒุณ
1112
+
1113
+ 279
1114
+ 00:23:56,420 --> 00:24:01,340
1115
+ ู…ุง ุงุญู†ุง ุจู†ุงุฎุฏู‡ุง ุฏุงูŠู…ุงุŒ ูุจู†ุญูˆู„ู‡ุง ู„ุฅูŠู‚ุงุธ ุฃู‚ู„
1116
+
1117
+ 280
1118
+ 00:24:08,030 --> 00:24:11,570
1119
+ ูƒูˆูŠุณุฉ ุฏู‡ ุฃูˆู„ ุฎุทูˆุฉ ุทุงู„ู…ุง ุฒูŠ ู…ุง ุญูƒุช ุฒู…ูŠู„ุชูƒ ููŠ ุงู„ุฃูˆู„
1120
+
1121
+ 281
1122
+ 00:24:11,570 --> 00:24:15,510
1123
+ ุจุณ ุญูƒุช ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆ ุฏู‡ ู…ุด ุตุญ ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ุจุญูˆู„ ู„ู„
1124
+
1125
+ 282
1126
+ 00:24:15,510 --> 00:24:19,430
1127
+ one minus ุจูŠู‡ ุฃู‚ู„ ู…ู† ุงู„ point ุณุชุฉ ู…ู† ุงู„ุนุดุฑ one
1128
+
1129
+ 283
1130
+ 00:24:19,430 --> 00:24:25,490
1131
+ minus ูƒุงู…ู†ุฉ ุจุณ ุญุทูŠู‡ ุงู„ุณุงูˆูŠ ุงู† ุงู†ุง ุญุงูˆู„ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูŠ
1132
+
1133
+ 284
1134
+ 00:24:25,490 --> 00:24:30,570
1135
+ ู„ z ูƒูˆูŠุณุฉ ุจุชุญูˆู„ ุจูŠู‡ ู„ z ุฏู‡ ู„ู…ุง ุชุชุฃูƒุฏ ู†ูุณูƒ ู…ุด ู…ุทู„ูˆุจ
1136
+
1137
+ 285
1138
+ 00:24:30,570 --> 00:24:35,230
1139
+ ุงู†ุง ู‡ุชุฃูƒุฏ ู†ูุณูŠ ู†ูุณูŠ ู…ุซู„ุง ู…ุด ูƒู„ ู…ุฑุฉ ุงุชุฃูƒุฏ ุงู† ุงู†ุง
1140
+
1141
+ 286
1142
+ 00:24:35,230 --> 00:24:35,550
1143
+ ุจุญู„
1144
+
1145
+ 287
1146
+ 00:24:48,590 --> 00:24:54,490
1147
+ ูƒูˆูŠุณ ุจุงูŠ ูˆุงู† ู…ุงูŠู†ูˆุณ ุจุงูŠ ูˆูุฑ ุงู† minus ูˆุงุญุฏ minus
1148
+
1149
+ 288
1150
+ 00:24:54,490 --> 00:24:58,650
1151
+ ุจุงูŠ ู‡ูˆ ู…ูƒุชูˆุจ ู„ูŠุด ุชูƒุชุจู‡ ู…ุฑุชูŠู† ุจุชุณุงูˆูŠ ุจุชุณุงูˆูŠ ู…ุด
1152
+
1153
+ 289
1154
+ 00:24:58,650 --> 00:25:07,010
1155
+ ู…ุดูƒู„ุฉ ุจุชุณุงูˆูŠ ุงู„ ุจูŠ ู‡ูŠ ุณุชุฉ ู…ู† ุนุดุฑุฉ minus ุงู„ ุจุงูŠ
1156
+
1157
+ 290
1158
+ 00:25:07,010 --> 00:25:07,450
1159
+ ุฃุฑุจุนุฉ
1160
+
1161
+ 291
1162
+ 00:25:11,670 --> 00:25:17,370
1163
+ ุงู„ู„ูŠ point zero ููŠ ..
1164
+
1165
+ 292
1166
+ 00:25:17,370 --> 00:25:23,930
1167
+ ูƒูˆูŠุณุฉ ู‡ุฐู‡ ู‡ุชุณุงูˆูŠ .. ุฅูŠู‡ ู„ุฃ ุจุณ ุชุญุณุจูŠู‡ุง ุฏูˆู„ ุจูŠุทู„ุน
1168
+
1169
+ 293
1170
+ 00:25:23,930 --> 00:25:28,450
1171
+ ุฎู…ุณุฉ point ุณุจุนุฉ ุณุจุนุฉ ุจูŠุญุทูˆุง
1172
+
1173
+ 294
1174
+ 00:25:28,450 --> 00:25:33,390
1175
+ ุงู„ู„ูŠ ูŠุณุงูˆูŠ ุฏุงูŠู…ุง ูŠุณุงูˆูŠ ู…ุนุงูƒ ุฅุฐุง .. ุงู…ุณุญ ุงู„ู„ูŠ ุนู†ุฏูƒ
1176
+
1177
+ 295
1178
+ 00:25:33,390 --> 00:25:39,670
1179
+ ุฅุฐุง ุงู„ู…ุซู„ุฉ ุงุชุญูˆู„ุช ุทู„ุนุช ุงู„ z score ู†ุนู…
1180
+
1181
+ 296
1182
+ 00:25:42,690 --> 00:25:51,030
1183
+ ู‡ุฐู‡ ุจุงู‰ ูˆุงุญุฏ minus ูˆุงู‰ ู…ูƒุชุจุชู‡ุง ุงุชูŠู† ู…ุฑุฉ ุชุญุช ุงุฐุง
1184
+
1185
+ 297
1186
+ 00:25:51,030 --> 00:25:58,190
1187
+ ุจุชุณุงูˆูŠ probability of z ุงู‚ู„ ู…ู† five point seven
1188
+
1189
+ 298
1190
+ 00:25:58,190 --> 00:26:03,470
1191
+ seven ุงู„ุงู†
1192
+
1193
+ 299
1194
+ 00:26:03,470 --> 00:26:10,250
1195
+ z ุงู‚ู„ ู…ู† five point seven seven ูŠุนู†ูŠ
1196
+
1197
+ 300
1198
+ 00:26:10,250 --> 00:26:26,960
1199
+ ุงูŠุด ุจุชุณุงูˆูŠู‡ุฐู‡ ู„ุญุงู„ู‡ุง ูˆุงุญุฏุฉ ู…ู…ุชุงุฒ ุทู„ุน
1200
+
1201
+ 301
1202
+ 00:26:26,960 --> 00:26:32,060
1203
+ ู…ุนูŠ ู…ุฑุฉ ุชุงู†ูŠุฉ ูƒุงู† ู…ุทู„ูˆุจ probability of the sample
1204
+
1205
+ 302
1206
+ 00:26:32,060 --> 00:26:36,560
1207
+ proportion greater than 0.6 ุงู„ table ู…ุง ู‚ูŠู„ุช to
1208
+
1209
+ 303
1210
+ 00:26:36,560 --> 00:26:39,660
1211
+ the left ุญูˆู„ุช one minus ุจ
1212
+
1213
+ 304
1214
+ 00:26:41,890 --> 00:26:48,510
1215
+ ู…ู‚ุงุฑู†ุฉ ุฃู‚ู„ ู…ู† 0.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1216
+
1217
+ 305
1218
+ 00:26:48,510 --> 00:26:49,170
1219
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1220
+
1221
+ 306
1222
+ 00:26:49,170 --> 00:26:50,330
1223
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1224
+
1225
+ 307
1226
+ 00:26:50,330 --> 00:26:50,830
1227
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1228
+
1229
+ 308
1230
+ 00:26:50,830 --> 00:26:52,510
1231
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1232
+
1233
+ 309
1234
+ 00:26:52,510 --> 00:26:55,750
1235
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1236
+
1237
+ 310
1238
+ 00:26:55,750 --> 00:27:00,230
1239
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1240
+
1241
+ 311
1242
+ 00:27:00,230 --> 00:27:06,790
1243
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B
1244
+
1245
+ 312
1246
+ 00:27:06,790 --> 00:27:17,110
1247
+ .6 ู…ู‚ุฒูŠ score positive 5.77 again this table gives
1248
+
1249
+ 313
1250
+ 00:27:17,110 --> 00:27:26,810
1251
+ up to 3.4 z score under 09 we have 9998 ุงูŠู‡ ูŠุนู†ูŠ
1252
+
1253
+ 314
1254
+ 00:27:26,810 --> 00:27:35,250
1255
+ ู„ุบุงูŠุฉ 3.49 this area equals 9998
1256
+
1257
+ 315
1258
+ 00:27:40,210 --> 00:27:45,550
1259
+ ุงู„ู„ูŠ ู‡ูŠ ุฃุฎุฑ ู‚ูŠู…ุฉ ุจุงู„ุฌุฏูˆู„ 998
1260
+
1261
+ 316
1262
+ 00:27:45,550 --> 00:27:54,730
1263
+ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ู…ู†ู‡ุง ู„ุบุงูŠุฉ 5.77 ูุชู‚ุฑูŠุจุงู‹
1264
+
1265
+ 317
1266
+ 00:27:54,730 --> 00:27:57,790
1267
+ ูˆุงุญุฏ ู„ุฃู† ุงู„ู…ุณุงุญุฉ ุงู„ probability underneath the
1268
+
1269
+ 318
1270
+ 00:27:57,790 --> 00:28:02,030
1271
+ normal curve equals one ูƒู„ ุงู„ area ุจูˆุงุญุฏ ูุงู„ุชุงุฏ is
1272
+
1273
+ 319
1274
+ 00:28:02,030 --> 00:28:05,010
1275
+ approximately ูˆุงุญุฏ ุฅุฐุง one minus one equals zero
1276
+
1277
+ 320
1278
+ 00:28:05,010 --> 00:28:08,750
1279
+ ููŠ
1280
+
1281
+ 321
1282
+ 00:28:08,750 --> 00:28:09,410
1283
+ ุฃูŠ ุณุคุงู„ุŸ
1284
+
1285
+ 322
1286
+ 00:28:17,350 --> 00:28:27,230
1287
+ ููŠ ุงูŠ ุณุคุงู„ ุฑู‚ู…
1288
+
1289
+ 323
1290
+ 00:28:27,230 --> 00:28:35,650
1291
+ ุชู„ุงุชุฉ find a or find x find
1292
+
1293
+ 324
1294
+ 00:28:35,650 --> 00:28:41,430
1295
+ a or x or whatever else find a such that this
1296
+
1297
+ 325
1298
+ 00:28:41,430 --> 00:28:45,670
1299
+ probability find a constant a
1300
+
1301
+ 326
1302
+ 00:28:54,650 --> 00:28:58,830
1303
+ ูˆุงู„ุชุฃูƒูŠุฏ ู‡ูˆ 9710
1304
+
1305
+ 327
1306
+ 00:28:58,830 --> 00:29:08,810
1307
+ ูƒูŠู
1308
+
1309
+ 328
1310
+ 00:29:08,810 --> 00:29:18,870
1311
+ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‡ุฐุง ุฃูˆ 9713ุŸ ู†ุฌุฏ A ุจู…ุนู†ู‰ ุฃู† ุงู„ุชุฃูƒูŠุฏ
1312
+
1313
+ 329
1314
+ 00:29:20,210 --> 00:29:26,290
1315
+ of b less than or equals a equals 0.973713 ูƒูŠู
1316
+
1317
+ 330
1318
+ 00:29:26,290 --> 00:29:33,250
1319
+ ุจุชุทู„ุน ุงู„ a ู…ู…ุชุงุฒ ุจุฌูŠุจ ุงู„ z ููŠ ุงู„ุฃูˆู„ ุจุชุทู„ุน ุงู„ z
1320
+
1321
+ 331
1322
+ 00:29:33,250 --> 00:29:39,890
1323
+ corresponding to this value 9713 ูŠุนู†ูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ
1324
+
1325
+ 332
1326
+ 00:29:39,890 --> 00:29:46,370
1327
+ ุชุณุนุฉ ุชุญุช ุงู„ zero ุฒูŠ ุฏู‡ ุฃูˆู„ step ู„ู…ุง ุจูŠุนุทูŠู‡ู… ุงู„
1328
+
1329
+ 333
1330
+ 00:29:46,370 --> 00:29:48,750
1331
+ probability ุจุชุทู„ุน ุงู„ z corresponding to this
1332
+
1333
+ 334
1334
+ 00:29:48,750 --> 00:29:53,000
1335
+ probabilityุฃู†ุง ุงุนุทูŠู†ูŠ probability of 9 7 1 3 which
1336
+
1337
+ 335
1338
+ 00:29:53,000 --> 00:30:03,700
1339
+ is 1.9 ุงู„ู€ z ู„ู„ a ู‡ูˆ a minus ุงู„ mean ู„ู„ b ุงู„ู„ูŠ ู‡ูˆ
1340
+
1341
+ 336
1342
+ 00:30:03,700 --> 00:30:09,860
1343
+ ุจุงูŠ minus ุณูŠุฌู…ุง ู„ู„ b ู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ ุจุชุณุงูˆูŠ 1.9 ุฅุฐุง ุงู„
1344
+
1345
+ 337
1346
+ 00:30:09,860 --> 00:30:19,240
1347
+ a minus 0.4 ุณูŠุฌู…ุง ุจูŠ ูƒุงู† ุงู„ุฌูˆุงุจ 03 464
1348
+
1349
+ 338
1350
+ 00:30:19,240 --> 00:30:25,630
1351
+ ู…ุธุจูˆุทู‡ุฐุง ุจูŠุตูŠุญูŠ 1.90 ู†ุนู…ู„
1352
+
1353
+ 339
1354
+ 00:30:25,630 --> 00:30:34,370
1355
+ cross multiplication ู†ุญุตู„ ุนู„ู‰ a-0.4 equals 1.9
1356
+
1357
+ 340
1358
+ 00:30:34,370 --> 00:30:44,170
1359
+ times 0.03464 ุฅุฐุง
1360
+
1361
+ 341
1362
+ 00:30:44,170 --> 00:30:49,120
1363
+ ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุช 1.9 ุนุจุงุฑุฉ ุนู† ุงู„ z-score ู…ุธุจูˆุทุŸุฒูŠ
1364
+
1365
+ 342
1366
+ 00:30:49,120 --> 00:30:54,300
1367
+ ุณูƒูˆุฑุฉ ุนุจุงุฑุฉ ุนู† a-ฯ€ ุนู„ู‰ ุณูŠุฌู…ุน ุงู„ู€b ุทู„ุน a-ฯ€ 0.4
1368
+
1369
+ 343
1370
+ 00:30:54,300 --> 00:31:00,140
1371
+ ุณูŠุฌู…ุน ุงู„ู€b 104 03464 equal 1.90 to get the value
1372
+
1373
+ 344
1374
+ 00:31:00,140 --> 00:31:03,940
1375
+ of a just cross multiplication you will get a
1376
+
1377
+ 345
1378
+ 00:31:03,940 --> 00:31:10,480
1379
+ equal 0.4 plus 19 times this value
1380
+
1381
+ 346
1382
+ 00:31:13,240 --> 00:31:22,180
1383
+ ุงู„ุงู† ุจุฅู…ูƒุงู†ูƒ ูู‚ุท ุชุฎุฒูŠู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 1
1384
+
1385
+ 347
1386
+ 00:31:22,180 --> 00:31:31,540
1387
+ .9 x 0.34 5
1388
+
1389
+ 348
1390
+ 00:31:31,540 --> 00:31:37,940
1391
+ .2 1.9 x 0.34
1392
+
1393
+ 349
1394
+ 00:31:41,270 --> 00:31:47,790
1395
+ plus point four point four six five eight point
1396
+
1397
+ 350
1398
+ 00:31:47,790 --> 00:31:50,810
1399
+ four six five eight point four six five eight
1400
+
1401
+ 351
1402
+ 00:31:50,810 --> 00:31:51,070
1403
+ point four six five eight point four six five
1404
+
1405
+ 352
1406
+ 00:31:51,070 --> 00:31:51,310
1407
+ eight point four six five eight point four six
1408
+
1409
+ 353
1410
+ 00:31:51,310 --> 00:31:51,330
1411
+ five eight point four six five eight point four
1412
+
1413
+ 354
1414
+ 00:31:51,330 --> 00:31:51,330
1415
+ six five eight point four six five eight point
1416
+
1417
+ 355
1418
+ 00:31:51,330 --> 00:31:51,330
1419
+ four six five eight point four six five eight
1420
+
1421
+ 356
1422
+ 00:31:51,330 --> 00:31:51,330
1423
+ point four six five eight point four six five
1424
+
1425
+ 357
1426
+ 00:31:51,330 --> 00:31:51,330
1427
+ eight point four six five eight point four six
1428
+
1429
+ 358
1430
+ 00:31:51,330 --> 00:31:51,330
1431
+ five eight point four six five eight point four
1432
+
1433
+ 359
1434
+ 00:31:51,330 --> 00:31:51,330
1435
+ six five eight point four six five eight point
1436
+
1437
+ 360
1438
+ 00:31:51,330 --> 00:31:51,330
1439
+ four six five eight point four six five eight
1440
+
1441
+ 361
1442
+ 00:31:51,330 --> 00:31:51,330
1443
+ point four six five eight point four six five
1444
+
1445
+ 362
1446
+ 00:31:51,330 --> 00:31:51,330
1447
+ eight point four six five eight point four six
1448
+
1449
+ 363
1450
+ 00:31:51,330 --> 00:31:51,330
1451
+ five eight point four six five eight point four
1452
+
1453
+ 364
1454
+ 00:31:51,330 --> 00:31:51,330
1455
+ six five eight point four six five eight point
1456
+
1457
+ 365
1458
+ 00:31:51,330 --> 00:31:51,410
1459
+ four six five eight point four six five eight
1460
+
1461
+ 366
1462
+ 00:31:51,410 --> 00:31:51,410
1463
+ point four six five eight point four six five
1464
+
1465
+ 367
1466
+ 00:31:51,410 --> 00:31:51,830
1467
+ eight point four six five eight point four six
1468
+
1469
+ 368
1470
+ 00:31:51,830 --> 00:31:51,870
1471
+ five eight point four six five eight point four
1472
+
1473
+ 369
1474
+ 00:31:51,870 --> 00:31:52,850
1475
+ six five eight point four six five eight point
1476
+
1477
+ 370
1478
+ 00:31:52,850 --> 00:31:53,470
1479
+ four six five eight point four six five eight
1480
+
1481
+ 371
1482
+ 00:31:53,470 --> 00:31:55,810
1483
+ point four six five eight point four six five
1484
+
1485
+ 372
1486
+ 00:31:55,810 --> 00:32:02,550
1487
+ eight point four six five eight point four six
1488
+
1489
+ 373
1490
+ 00:32:02,550 --> 00:32:07,270
1491
+ five eight point four six five eight point
1492
+
1493
+ 374
1494
+ 00:32:10,360 --> 00:32:15,940
1495
+ ุงู„ู‚ุงู†ูˆู† ู„ู… ูŠุชุบูŠุฑ ุนู†ุฏู…ุง ูƒู†ุง ู†ุชุญุฏุซ ุนู† ุงู„ู€ X bar ูƒุงู†ุช
1496
+
1497
+ 375
1498
+ 00:32:15,940 --> 00:32:19,960
1499
+ ุนุจุงุฑุฉ ุนู† ุงู„ู€ mean ุฒูŠ ุงู„ู€ Z sigma X barุŒ ุฃู„ูŠุณ ูƒุฐู„ูƒุŸ
1500
+
1501
+ 376
1502
+ 00:32:19,960 --> 00:32:25,180
1503
+ ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุนู„ู‰ ุงู„ู€ BุŒ ู…ุงู‡ูŠ ุญุฏุซุŸ ู„ุงุญุธ ุงู„ู€ point
1504
+
1505
+ 377
1506
+ 00:32:25,180 --> 00:32:29,540
1507
+ four ุนุจุงุฑุฉ ุนู† ุฅูŠู‡ุŸ
1508
+
1509
+ 378
1510
+ 00:32:29,540 --> 00:32:35,480
1511
+ ุทู„ุน ู„ู„ู€ A ุงู„ู€ A ู‡ุชุณุงูˆูŠ ุงู„ู€ point four ุนุจุงุฑุฉ ุนู† Pi
1512
+
1513
+ 379
1514
+ 00:32:35,480 --> 00:32:45,150
1515
+ 1.9 Z4ูˆู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงู„ู€ means ู„ุญุธุฉ ุงู„ู‚ุงู†ูˆู† ู…ุงู„ู‡ ู‡ูˆ
1516
+
1517
+ 380
1518
+ 00:32:45,150 --> 00:32:51,070
1519
+ ู†ูุณู‡ ูุงู„ู‚ูˆุงู† ุฏุงูŠู…ุง ุงู„ mean plus z sigma ู„ูˆ ูƒุงู†
1520
+
1521
+ 381
1522
+ 00:32:51,070 --> 00:32:55,890
1523
+ ุนู†ุฏู‰ x bar ุจูŠุตูŠุฑ ุงู„ mean ุฒูŠ ุงู„ sigma x bar ู„ูˆ ูƒุงู†
1524
+
1525
+ 382
1526
+ 00:32:55,890 --> 00:33:00,230
1527
+ ุนู†ุฏู‰ proportion ุจูŠุตูŠุฑ y ุฒูŠ ุงู„ sigma z sigma b ุฃูˆ
1528
+
1529
+ 383
1530
+ 00:33:00,230 --> 00:33:03,270
1531
+ ุญู„ู„ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ููŠ ุงู„ุญู„ู‚ุฉ ุชุตู„ ู„ู†ูุณ ุงู„ุญู„ ุฅุฐุง
1532
+
1533
+ 384
1534
+ 00:33:03,270 --> 00:33:07,190
1535
+ ู…ุฑุฉ ุชุงู†ูŠุฉ ู„ู…ุง ุงู„ probability is given step number
1536
+
1537
+ 385
1538
+ 00:33:07,190 --> 00:33:13,920
1539
+ oneู…ุนุฑูุฉ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
1540
+
1541
+ 386
1542
+ 00:33:13,920 --> 00:33:17,760
1543
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
1544
+
1545
+ 387
1546
+ 00:33:17,760 --> 00:33:34,160
1547
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ
1548
+
1549
+ 388
1550
+ 00:33:42,070 --> 00:33:47,470
1551
+ 0.008 ุงุญุตู„
1552
+
1553
+ 389
1554
+ 00:33:47,470 --> 00:33:51,870
1555
+ ุนู„ู‰ ู‚ูŠู…ุฉ C. C ู‡ูŠ ู…ุตุงุฏุฑ ู…ุจุงุฏุฑุฉ. ุจู…ุนู†ู‰ ุฃู† ู‡ุฐุง ุงู„ู€
1556
+
1557
+ 390
1558
+ 00:33:51,870 --> 00:33:54,590
1559
+ Probability ู‡ูˆ 0.0092.
1560
+
1561
+ 391
1562
+ 00:34:09,800 --> 00:34:13,160
1563
+ ุจ ุฃูˆ b greater than c equals point zero zero eight
1564
+
1565
+ 392
1566
+ 00:34:13,160 --> 00:34:36,740
1567
+ two ูˆุงุญุฏุฉ ุชุนู…ู„ูŠู‡ุง ุดูˆู
1568
+
1569
+ 393
1570
+ 00:34:36,740 --> 00:34:42,150
1571
+ ุฃูˆู„ ุฎุทูˆุฉ ุญูˆู„ุช one minusู„ุฃู†ู‡ we have greater than
1572
+
1573
+ 394
1574
+ 00:34:42,150 --> 00:34:55,030
1575
+ or equal to C ุง๏ฟฝ๏ฟฝุทุฑูŠู‚ุฉ ูˆุงุญุฏ minus ุงู„ู…ุชูƒู…ู„ุฉ
1576
+
1577
+ 395
1578
+ 00:34:55,030 --> 00:35:00,590
1579
+ ุงู„ู‡ุง nine ุฎู„ุงุต
1580
+
1581
+ 396
1582
+ 00:35:00,590 --> 00:35:03,770
1583
+ ู‡ูŠ ุจู…ูƒุงู†ู‡ุง ูƒุงู†ุช ู…ู† ุงู„ุฃูˆู„ ู†ู†ุชู‚ู„ ู…ู† ู‡ู†ุง ุฅู„ู‰ ู‡ู†ุง ุนู„ู‰
1584
+
1585
+ 397
1586
+ 00:35:03,770 --> 00:35:07,410
1587
+ ุทูˆู„ู‡ุฐู‡ greater than or equal ุงู„ุฃู‚ู„ ู…ู†ู‡ุง ุนู„ู‰ ุทูˆู„
1588
+
1589
+ 398
1590
+ 00:35:07,410 --> 00:35:12,030
1591
+ one minus ูŠุนู†ูŠ ุงู„ุฎุทูˆุฉ ู‡ุฐู‡ ู„ู„ุชูˆุถูŠุญ ูƒูˆูŠุณุฉ ุฅุฐุง ุจุชุณูˆู‰
1592
+
1593
+ 399
1594
+ 00:35:12,030 --> 00:35:20,090
1595
+ point nine nine one eight nine nine ุชุจู‚ู‰
1596
+
1597
+ 400
1598
+ 00:35:20,090 --> 00:35:26,390
1599
+ ุชุณุนุฉ ุตุญ ูˆูˆุงุญุฏ
1600
+
1601
+ 401
1602
+ 00:35:26,390 --> 00:35:27,610
1603
+ ุชู…ุงู†ูŠุฉ ูƒุงู… ู†ู‡ุงุฑ ูˆูˆุงุญุฏ ุชู…ุงู†ูŠุฉ
1604
+
1605
+ 402
1606
+ 00:35:32,790 --> 00:35:38,830
1607
+ ูƒูˆูŠุณุฉ ุฅุฐุง ุญุทุงู„ุฉ ุงู„ู€ z ุงู„ู…ู‚ุงุจู„ุฉ ุฅู„ูŠู‡ุง 9918 ู‡ูŠ 99
1608
+
1609
+ 403
1610
+ 00:35:38,830 --> 00:35:45,130
1611
+ ุฃูˆูŠ ูˆ ู„ุญุธุฉ ุจุงู„ุธุจุท ู‡ูŠ 9918 ูุชู‚ุน ุนุจุงุฑุฉ ุนู† 2.4 ุฅุฐุง ุงู„
1612
+
1613
+ 404
1614
+ 00:35:45,130 --> 00:35:51,790
1615
+ z score 2.4 ุชู…ุงู…
1616
+
1617
+ 405
1618
+ 00:35:51,790 --> 00:35:58,090
1619
+ ุฅุฐุง ุงู„ c minus ุญูˆู„ ุงู„ c ู„ ุงู„ z score ุญูˆู„ ู‡ูŠ ู…ุด ู‡ูŠ
1620
+
1621
+ 406
1622
+ 00:35:58,090 --> 00:36:02,490
1623
+ ุงู„ c ุนู†ุฏู†ุงู‡ุฐู‡ ุงู„ู€ C ุญูˆู„ู‡ุง ุฅู„ู‰ ุงู„ู€ z-score ุจุตูŠุฑ ุงู„ู€
1624
+
1625
+ 407
1626
+ 00:36:02,490 --> 00:36:06,690
1627
+ C minus ุงู„ู€ mean ุชุจุนู‡ุงุŒ ุฎู„ู‘ูŠู‡ุงุŒ ู†ุงู‚ุต ุงู„ู€ mean ุงู„ู„ูŠ
1628
+
1629
+ 408
1630
+ 00:36:06,690 --> 00:36:12,030
1631
+ ู‡ูˆ ุฃุฑุจุนุฉ ู…ู† ุนุดุฑุฉุŒ ุจุงู„ุธุจุท ุชู‚ุณูŠู… sigma ู„ู„ู€ B ุณูˆู‰
1632
+
1633
+ 409
1634
+ 00:36:12,030 --> 00:36:15,150
1635
+ ุงุชู†ูŠู† ูˆ ุฃุฑุจุนุฉุŒ ู…ู…ุชุงุฒุฉุŒ ู„ุญุธุฉุŒ ู…ุงุชุชุด ุนู…ู„ุชุŒ ุจุณ ุฃูƒุชุจ
1636
+
1637
+ 410
1638
+ 00:36:15,150 --> 00:36:20,630
1639
+ ุงู„ Z ู‡ู†ุง ุนู…ู„ุช ู„ุฃุชูŠู†ุŒ ุจุชุญูˆู„ ุงู„ C ุงู„ู„ูŠ ู‡ู†ุง ู„ู„ Z
1640
+
1641
+ 411
1642
+ 00:36:20,630 --> 00:36:25,750
1643
+ -score ูุงู„ู€ C minus ุงู„ Y over sigma ู„ู„ BุŒ ุจุชุณุงูˆูŠ
1644
+
1645
+ 412
1646
+ 00:36:30,660 --> 00:36:36,580
1647
+ ุฃูŠูˆุฉ ูˆ ุชุญุช point zero three four six four four
1648
+
1649
+ 413
1650
+ 00:36:36,580 --> 00:36:45,200
1651
+ four six ุงูŠุด four zero six four ู‡ุฐุง ูƒู„ู‡ ุจูŠุณุงูˆูŠ
1652
+
1653
+ 414
1654
+ 00:36:45,200 --> 00:36:51,040
1655
+ ุงุชู†ูŠู† point ุงุฑุจุนุฉ ูƒูˆูŠุณุฉ
1656
+
1657
+ 415
1658
+ 00:37:05,670 --> 00:37:12,690
1659
+ ุจุทู„ุน point zero eight three point zero zero zero
1660
+
1661
+ 416
1662
+ 00:37:12,690 --> 00:37:28,250
1663
+ eight three ุฎู„ุงุต ุฅุฐุง ู†ุณูŠุจ ุงู„ุณุงูˆูŠุฉ ุฃู…ุชุงุฒ
1664
+
1665
+ 417
1666
+ 00:37:28,250 --> 00:37:30,750
1667
+ ุฃู…ุชุงุฒ ู‡ูŠูƒ ุตุญ
1668
+
1669
+ 418
1670
+ 00:37:35,870 --> 00:37:40,130
1671
+ ุฅุฐุง ู…ู† ุงู„ุฃูˆู„ ุฅุฐุง ูƒุงู†ุช probability of b greater
1672
+
1673
+ 419
1674
+ 00:37:40,130 --> 00:37:43,790
1675
+ than or equal to c equal to 0.0082 ุจุชุทู„ุน ุงู„
1676
+
1677
+ 420
1678
+ 00:37:43,790 --> 00:37:48,670
1679
+ complement ู„ู‡ุง ุชุทู„ุน ุจูŠ of probability of b less
1680
+
1681
+ 421
1682
+ 00:37:48,670 --> 00:37:52,150
1683
+ than or equal to c equal to 0.1-0.0082 which is
1684
+
1685
+ 422
1686
+ 00:37:52,150 --> 00:37:57,870
1687
+ 9918 ู‡ุฐุง ุงู„ step ุฑู‚ู… ูˆุงุญุฏ step ุงู„ุจุนุฏ ุฏู‡ ุจุชุทู„ุน ุงู„ z
1688
+
1689
+ 423
1690
+ 00:37:57,870 --> 00:38:02,690
1691
+ score corresponding to this value 9918 which is 2
1692
+
1693
+ 424
1694
+ 00:38:02,690 --> 00:38:08,610
1695
+ .4ูุทู„ุน ุงู„ Z-score 2.4 ู…ู† 10 ุฅู„ู‰ ุฃู† ุจุฑุฌุน ู„ู„ C
1696
+
1697
+ 425
1698
+ 00:38:08,610 --> 00:38:12,830
1699
+ ุชุจุนุชูŠู† ุจุญูˆู„ู‡ุง ู„ู„ Z-score ุงู„ู„ูŠ ู‡ูŠ ุงู„ C minus ุงู„ ุจูŠ
1700
+
1701
+ 426
1702
+ 00:38:12,830 --> 00:38:16,830
1703
+ ุนู„ู‰ ุงู„ sigma ู„ู„ ุจูŠ ู‡ุฐุง ูƒู„ู‡ ุจุงู„ุณูˆูŠุฉ 2.4 ุฅุฐุง ุงู„ C
1704
+
1705
+ 427
1706
+ 00:38:16,830 --> 00:38:19,890
1707
+ minus ุงู„ ุจูŠ ู‡ูˆ ุงู„ sigma ุงู„ู„ูŠ ุจูŠ ุทู„ุนู†ุงู‡ุง ู…ู† ุงู„ุฃูˆู„
1708
+
1709
+ 428
1710
+ 00:38:19,890 --> 00:38:27,010
1711
+ ุจุนุฏู‡ุง cross multiplication ููŠ ุฃูŠ ุณุคุงู„ุŸ
1712
+
1713
+ 429
1714
+ 00:38:27,010 --> 00:38:31,310
1715
+ ุฃู†ุช ุจูˆุงุญุฏุฉ ุชุนุทูŠู†ูŠ ุณุคุงู„ ู…ุญู„ุฉ
1716
+
1717
+ 430
1718
+ 00:38:34,290 --> 00:38:39,150
1719
+ ูŠุนุทูŠู†ูŠ ุณุคุงู„ ู„ุชุฏุฑูŠุจ ุฃุฎุฑ
1720
+
1721
+ 431
1722
+ 00:38:39,150 --> 00:38:43,910
1723
+ ูˆุงุญุฏุฉ ุชู…ุงู†ุน ุจุฏุฃ ุฃุณุฃู„ ุฅุฐุง ู…ุงุนู†ุฏูƒูŠุด ุฃู†ุง ุจุนุทูŠูƒูŠ ุณุคุงู„
1724
+
1725
+ 432
1726
+ 00:38:43,910 --> 00:38:53,730
1727
+ find
1728
+
1729
+ 433
1730
+ 00:38:53,730 --> 00:38:56,910
1731
+ constant
1732
+
1733
+ 434
1734
+ 00:38:56,910 --> 00:38:59,070
1735
+ C
1736
+
1737
+ 435
1738
+ 00:39:26,290 --> 00:39:33,330
1739
+ ุฎู„ู‘ูŠ ุจุงู„ูƒ ู…ุนุงูŠุง ู‡ุงูŠ minus C ูˆู‡ูŠ plus C 9955
1740
+
1741
+ 436
1742
+ 00:39:33,330 --> 00:39:38,390
1743
+ Now this area is 9955 Now the table gives the area
1744
+
1745
+ 437
1746
+ 00:39:38,390 --> 00:39:43,350
1747
+ to the left ุงู„ู…ุณุงุญู„ ุนู„ู‰ ุงู„ุดู…ุงู„ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุงู… ู‡ุฐูŠ
1748
+
1749
+ 438
1750
+ 00:39:44,450 --> 00:39:47,250
1751
+ ุฃูˆ ุงู„ุชุงู†ูŠุฉุŒ ูŠุนู†ูŠ ุฅู…ุง ุนู„ู‰ ูŠุณุงุฑ ุงู„ู€C ุฃูˆ ุงู„ู€ negative
1752
+
1753
+ 439
1754
+ 00:39:47,250 --> 00:39:51,710
1755
+ CุŒ ุงู„ุฅุชู†ูŠู† ุตุญ ุฎุฏ ุงู„ู„ูŠ ุฃู†ุช ุนุงูŠุฒู‡ุง ู„ูˆ ุจุฏุฃ ุฃุฎุฏ ุนู„ู‰
1756
+
1757
+ 440
1758
+ 00:39:51,710 --> 00:39:56,450
1759
+ ูŠุณุงุฑ plus CุŒ ุฅุดุชุจ probability ุนู„ู‰ to the left of C
1760
+
1761
+ 441
1762
+ 00:39:56,450 --> 00:40:02,430
1763
+ ุฅุดุชุจ ุงู„ุณุงุนุฉ ุนู„ู‰ ูŠุณุงุฑ ุงู„ู€C ุฅู„ุงู† ุงู„ู„ูŠ ู‡ู†ุง ุจูŠู†ู‡ู…
1764
+
1765
+ 442
1766
+ 00:40:02,430 --> 00:40:05,810
1767
+ nine, nine, five, fiveุŒ ุฅูŠุด ุจุชุทู‚ุน ุงู†ุฏูŠุŸ ูˆุงุญุฏ ู†ุงู‚ุต
1768
+
1769
+ 443
1770
+ 00:40:05,810 --> 00:40:08,030
1771
+ ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„
1772
+
1773
+ 444
1774
+ 00:40:08,030 --> 00:40:08,170
1775
+ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ ..
1776
+
1777
+ 445
1778
+ 00:40:08,170 --> 00:40:08,350
1779
+ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ๏ฟฝ๏ฟฝู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ ..
1780
+
1781
+ 446
1782
+ 00:40:08,350 --> 00:40:08,870
1783
+ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ ..
1784
+
1785
+ 447
1786
+ 00:40:08,870 --> 00:40:13,080
1787
+ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุฅุฐุง 9 9 5 5 ู‡ุฐุง
1788
+
1789
+ 448
1790
+ 00:40:13,080 --> 00:40:22,940
1791
+ ู…ุชุจู‚ู‰ ุนู†ุฏูŠุŒ ู…ุด ู‡ูŠูƒุŸ ุฅูŠุด ุจุชุทู„ุนุŸ 0045ุŒ ู…ุธุจูˆุทุŸ
1792
+
1793
+ 449
1794
+ 00:40:22,940 --> 00:40:27,960
1795
+ ู‡ุฐุง ู„ู„ุฅุซู†ูŠู† ู…ุน ุจุนุถุŒ ู„ู„ุฅุซู†ูŠู†ุŒ ูˆ ู‡ุฏูˆู„ ุงู„ุฅุซู†ูŠู† ุฒูŠ
1796
+
1797
+ 450
1798
+ 00:40:27,960 --> 00:40:31,440
1799
+ ุจุนุถุŒ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุฏูŠ symmetric ุนู†ุฏ C ูˆ minus CุŒ
1800
+
1801
+ 451
1802
+ 00:40:31,440 --> 00:40:36,340
1803
+ ุฅุฐุง ู…ุงุนู†ุง ูƒุฏู‡ุŒ ุญุฌุณ ู…ุน ุงุชู†ูŠู† ุฎูŠุงุฑูŠ
1804
+
1805
+ 452
1806
+ 00:40:36,340 --> 00:40:42,850
1807
+ ุฃุฎุฏู‡ุง ุจุงู„ุชู‚ุฑูŠุจุŒ 002 ุชู‚ุฑูŠุจุงุŒ ู…ุด ู‡ูŠูƒุŸู…ุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ
1808
+
1809
+ 453
1810
+ 00:40:42,850 --> 00:40:51,110
1811
+ ู…ุด ู‡ุชูุฑู‚ ูƒุชูŠุฑ ุฅุฐุง ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู‡ูŠูƒ ุชู‚ุฑูŠุจุง ู‡ูˆ
1812
+
1813
+ 454
1814
+ 00:40:51,110 --> 00:40:57,190
1815
+ ุจุงู„ุธุจุท 225 ู…ุด ู‡ูŠูƒ ุงู„ probability to the left of C
1816
+
1817
+ 455
1818
+ 00:40:57,190 --> 00:41:01,050
1819
+ ุงู„ุขู† ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ู‡ุชุณุงูˆูŠ ุงู„ู‚ู…ุชูŠู† ู‡ุฏูˆู„ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ
1820
+
1821
+ 456
1822
+ 00:41:01,050 --> 00:41:11,450
1823
+ ู‡ูŠ point 9955 ูˆู‚ุฏุงุดุฑ ูˆ 0022 ู…ุด ู‡ูŠูƒ ุงุฌู…ุนูŠู‡ู…ุฅู† ุดุงุก
1824
+
1825
+ 457
1826
+ 00:41:11,450 --> 00:41:18,850
1827
+ ุงู„ู„ู‡ ุณุงู…ุญูƒ ูˆุงุญุฏ ูƒู„ู‡ุง ู†ุงู‚ุต ู‡ุฐู‡ ุฃู‚ู„ ู…ู† C ุจุชู…ุงู…
1828
+
1829
+ 458
1830
+ 00:41:18,850 --> 00:41:23,570
1831
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃูˆ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ..
1832
+
1833
+ 459
1834
+ 00:41:23,570 --> 00:41:26,690
1835
+ ุงู„ุญูƒุงูŠุฉ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ู…ู…ูƒู† ู„ู„ู…ูˆุฌุจ ุฎู„ูŠู†ูŠ ุนู„ู‰ ุงู„ู…ูˆุฌุจ
1836
+
1837
+ 460
1838
+ 00:41:26,690 --> 00:41:31,330
1839
+ ุงู„ probability of B less than or equal to C 9977
1840
+
1841
+ 461
1842
+ 00:41:31,330 --> 00:41:34,190
1843
+ ุฅูŠุด ุจุชุทู„ุน ุฅู„ู‰ ู…ุซู„ุฉ ุชุชุญูˆู„ ุฅุฒุงูŠ ู„ู…ุซู„ุฉ ุญู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„
1844
+
1845
+ 462
1846
+ 00:41:34,190 --> 00:41:40,430
1847
+ ู†ูุณ ุงู„ุณุคุงู„ ุฅูŠุด Z score ู…ู‚ุงุจู„ 9977ู†ุดูˆู ุฃู‚ุฑุจ ุญุงุฌุฉ
1848
+
1849
+ 463
1850
+ 00:41:40,430 --> 00:41:45,650
1851
+ ู…ูˆุฌูˆุฏุฉ ุชู„ุนุจ ุงู„ุฌุฏูˆู„ 9977
1852
+
1853
+ 464
1854
+ 00:41:45,650 --> 00:41:50,090
1855
+ 2.8 ุชุญุช
1856
+
1857
+ 465
1858
+ 00:41:50,090 --> 00:41:58,770
1859
+ ุงู„ุชู„ุงุชุฉ ุฅุฐู† ุงู„ู€ z ุจุชุณุงูˆูŠ 2 ุชุจู‚ู‰ ู„ู‡ุง ุชู„ุงุชุฉุŒ ู…ุธุจูˆุทุŸ
1860
+
1861
+ 466
1862
+ 00:41:58,770 --> 00:42:01,610
1863
+ ุฅุฐุง ู…ุน ูƒุฏู‡ ุงู„ู€ c minus ุงู„ู€ pi
1864
+
1865
+ 467
1866
+ 00:42:04,580 --> 00:42:12,200
1867
+ ุนุงู„ู€ Sigma ุงู„ู„ูŠ ู‡ูŠ 0.3464 equals 2.83 ุฅุฐุง ุจุทู„ุน ุงู„
1868
+
1869
+ 468
1870
+ 00:42:12,200 --> 00:42:16,920
1871
+ C ุฒูŠ ู…ุง ุนู…ู„ู†ุง ููŠ ุงู„ุฃูˆู„ ุจุทู„ุน C equal 0.4 plus ู‡ุงูŠ
1872
+
1873
+ 469
1874
+ 00:42:16,920 --> 00:42:24,260
1875
+ ุงู„ Z times Sigma of B ุจุทู„ุน ุงู„ุฌูˆุงุจ ุทุจุนุง ู‡ุทู„ุน ู…ุนุงูŠุง
1876
+
1877
+ 470
1878
+ 00:42:24,260 --> 00:42:28,340
1879
+ ุงู„ positive C ุงู„ู„ูŠ ู‡ูŠ T.3
1880
+
1881
+ 471
1882
+ 00:42:33,830 --> 00:42:39,790
1883
+ ุฒูŠ 0.498
1884
+
1885
+ 472
1886
+ 00:42:39,790 --> 00:42:49,070
1887
+ ุฅุฐุง
1888
+
1889
+ 473
1890
+ 00:42:49,070 --> 00:42:52,050
1891
+ ุงู„ุฃููƒุงุฑ ูˆุงุญุฏุฉ
1892
+
1893
+ 474
1894
+ 00:43:01,520 --> 00:43:04,620
1895
+ ุจุฑุถู‡ ู„ูˆ ุงุณุชุฎุฏู…ุช ุงู„ู€ area to the left of negative C
1896
+
1897
+ 475
1898
+ 00:43:04,620 --> 00:43:10,160
1899
+ ู‡ูŠุทู„ุน ู…ุนุงูƒ ู†ูุณ ุงู„ุฅุฌุงุจุฉ any question? next time you
1900
+
1901
+ 476
1902
+ 00:43:10,160 --> 00:43:13,000
1903
+ should start chapter 9
1904
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/Wo7DhCHH8uM.srt ADDED
@@ -0,0 +1,1047 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:22,890
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… we will
4
+
5
+ 2
6
+ 00:00:22,890 --> 00:00:28,870
7
+ finish this course I will give some practice
8
+
9
+ 3
10
+ 00:00:28,870 --> 00:00:34,050
11
+ problems for chapter 11 let's start with the one
12
+
13
+ 4
14
+ 00:00:34,050 --> 00:00:38,270
15
+ you didn't do in the session ุฅูŠุด ู…ุงุฎุฏุชูˆุด ููŠ ุงู„
16
+
17
+ 5
18
+ 00:00:38,270 --> 00:00:42,490
19
+ session ู†ุญู„ ู…ุน ุจุนุถ ู†ุญู„ูŠ 11
20
+
21
+ 6
22
+ 00:00:51,060 --> 00:00:55,780
23
+ ุงู„ุณุคุงู„ ู‡ูŠ ุฏู‡ ู…ุด ู‡ูŠ ุทุจ
24
+
25
+ 7
26
+ 00:00:55,780 --> 00:00:59,660
27
+ 1111 ุณุคุงู„ ูŠุนู†ูŠ ุจูŠุงุฎุฏ ุชู‚ุฑูŠุจุง ู…ุนุธู… ุงู„ุฌุฒูŠุงุช ุงู„ู„ูŠ ุงุญู†ุง
28
+
29
+ 8
30
+ 00:00:59,660 --> 00:01:05,860
31
+ ุนุงูŠุฒูŠู†ู‡ุง ุจูŠุญูƒูŠ the director of admissions at state
32
+
33
+ 9
34
+ 00:01:05,860 --> 00:01:09,360
35
+ college is interested in seeing if admissions
36
+
37
+ 10
38
+ 00:01:09,360 --> 00:01:15,300
39
+ status the admission status ู‡ุชูƒู„ู… ุนู† admission
40
+
41
+ 11
42
+ 00:01:23,650 --> 00:01:27,910
43
+ admission status has
44
+
45
+ 12
46
+ 00:01:27,910 --> 00:01:31,970
47
+ three types ุงู…ุง admitted ุชุนุฑู ุงุญู†ุง ู…ู‚ุฏู… ู„ู„ุฌุงู…ุนุฉ
48
+
49
+ 13
50
+ 00:01:31,970 --> 00:01:39,570
51
+ ุงู…ุง ูŠู‚ุจู„ ูŠุนู†ูŠ admitted ุฃูˆ
52
+
53
+ 14
54
+ 00:01:39,570 --> 00:01:47,830
55
+ ูŠูƒูˆู† ููŠ ุงู„ waiting list ุฃูˆ
56
+
57
+ 15
58
+ 00:01:47,830 --> 00:01:50,990
59
+ ูŠูƒูˆู† denied admission
60
+
61
+ 16
62
+ 00:01:54,630 --> 00:01:57,810
63
+ ู‡ุฏูˆู„ ุงู„ .. ู‡ุฏูˆู„ ุงู„ status ู„ุฃูŠ ูˆุงุญุฏ ุจูŠู‚ุฏู… ู„ู„ุฌุงู…ุนุฉ
64
+
65
+ 17
66
+ 00:01:57,810 --> 00:02:01,590
67
+ ุฅู…ุง ูŠู‚ุจู„ ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุงู„ waiting list ูŠุนู†ูŠ ู…ู…ูƒู†
68
+
69
+ 18
70
+ 00:02:01,590 --> 00:02:05,590
71
+ ูŠุชุตู„ูˆุง ููŠู‡ ุจุนุฏูŠู† ุฃูˆ ูŠุชู… denied ู„ู„ .. ุงู„ admission
72
+
73
+ 19
74
+ 00:02:05,590 --> 00:02:10,250
75
+ ุทุจุนุง ูŠุนู†ูŠ ุชู… ุฑูุถ ุงู„ admission ุทุจุนุง at his college
76
+
77
+ 20
78
+ 00:02:10,250 --> 00:02:13,270
79
+ is independent ุงู„ director ุจูŠุญูƒูŠ ุฃู† ุงู„ admission
80
+
81
+ 21
82
+ 00:02:13,270 --> 00:02:21,680
83
+ status ู‡ุฐุง ุฃูˆู„ variable is independent of the type
84
+
85
+ 22
86
+ 00:02:21,680 --> 00:02:25,820
87
+ of community in which the applicant resides he
88
+
89
+ 23
90
+ 00:02:25,820 --> 00:02:30,040
91
+ takes a sample of recent admissions decisions and
92
+
93
+ 24
94
+ 00:02:30,040 --> 00:02:34,180
95
+ forms the following table ุงู„ุขู† ูˆูŠู† ู‡ูˆ ู…ูˆุฌูˆุฏ ูˆูŠู†
96
+
97
+ 25
98
+ 00:02:34,180 --> 00:02:42,980
99
+ ุจูŠุณูƒู† ู‡ุฐู‡ ุงู„ three types ุงู…ุง urban ูŠุนู†ูŠ
100
+
101
+ 26
102
+ 00:02:42,980 --> 00:02:51,560
103
+ ุณุงูƒู† ููŠ ุงู„ู…ุฏูŠู†ุฉ ู†ูุชุฑุถ ุฃูˆ rural ุฃูˆ sub urban ูŠุนู†ูŠ ููŠ
104
+
105
+ 27
106
+ 00:02:51,560 --> 00:02:58,780
107
+ ุงู„ุถูˆุงุญูŠ ุงู„ุจู„ุฏ ุงู„ุขู†
108
+
109
+ 28
110
+ 00:02:58,780 --> 00:03:04,200
111
+ ู‡ูˆ ุณูŠุณุชุฎุฏู… ู‡ุฐุง ุงู„ุทุงุจู‚ ู„ุชุฌุงุฑุจ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช ุฃูƒูŠุฏ
112
+
113
+ 29
114
+ 00:03:04,200 --> 00:03:08,460
115
+ ุงุญู†ุง ุณู†ุณุชุฎุฏู… ูƒุงูŠ ุณูƒูˆุงุฑ ูƒุงูŠ ุณูƒูˆุงุฑ ู„ุฏูŠู†ุง ุงุซู†ูŠู† ู†ูˆุน
116
+
117
+ 30
118
+ 00:03:08,460 --> 00:03:11,400
119
+ ู…ู† ูƒุงูŠ ุณูƒูˆุงุฑ ูˆุงุญุฏ ูƒุงูŠ ุณูƒูˆุงุฑ ู„ู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงุซู†ูŠู†
120
+
121
+ 31
122
+ 00:03:11,400 --> 00:03:16,280
123
+ ู…ู‚ุงุฑู†ุฉ ู…ุธุจูˆุท ูˆุขุฎุฑ ูˆุงุญุฏ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช ู…ุณุชู‚ู„ ุนู†ุฏู…ุง
124
+
125
+ 32
126
+ 00:03:16,280 --> 00:03:19,320
127
+ ูŠูƒูˆู† ู„ุฏูŠู†ุง ุฃูƒุซุฑ ู…ู† ุงุซู†ูŠู† ุงู„ู€ categories when we
128
+
129
+ 33
130
+ 00:03:19,320 --> 00:03:22,220
131
+ have three by three ุจู†ุณุชุฎุฏู… ุงู„ู€ chi-square of
132
+
133
+ 34
134
+ 00:03:22,220 --> 00:03:25,900
135
+ independence ู…ุด ู‡ูŠูƒ ุฃู†ุง ุดุฑุญุช ุงู„ู„ู‚ุงุก ูƒุงู…ู„ ุนู„ู‰ chi
136
+
137
+ 35
138
+ 00:03:25,900 --> 00:03:29,220
139
+ -square ู„ difference between two proportions ุจุนุฏู‡ุง
140
+
141
+ 36
142
+ 00:03:29,220 --> 00:03:32,380
143
+ ุนู…ู„ู†ุง extension ู„ู„ result ูˆุงุฎุฏู†ุงู‡ุง if we have more
144
+
145
+ 37
146
+ 00:03:32,380 --> 00:03:35,680
147
+ than two groups ุงู„ more than two groups ุณู…ูŠู‡ุง chi
148
+
149
+ 38
150
+ 00:03:35,680 --> 00:03:38,880
151
+ -square test of independence chi-square ู„ุงุณุชู‚ู„ุงู„
152
+
153
+ 39
154
+ 00:03:38,880 --> 00:03:41,760
155
+ ูˆุงุถุญ ุงู„ุฃูˆู„ูŠุงู† ุงู„ chi-square ู„ู„ูุฑู‚ ุจูŠู† two
156
+
157
+ 40
158
+ 00:03:41,760 --> 00:03:44,760
159
+ proportions ุงู„ู„ูŠ ุจู†ุญู„ู‡ ู…ู…ูƒู† ุนู„ู‰ chapter ุนุดุฑ ุงู„ู„ูŠ
160
+
161
+ 41
162
+ 00:03:44,760 --> 00:03:48,390
163
+ ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ูƒุฏู‡ ูู‡ูˆ ุงู„ุขู† ุฃูƒูŠุฏ ู‡ูŠุณุชุฎุฏู… k-squared test
164
+
165
+ 42
166
+ 00:03:48,390 --> 00:03:53,210
167
+ of independence with alpha level of significance
168
+
169
+ 43
170
+ 00:03:53,210 --> 00:03:58,330
171
+ to be one percent ุฎู„ุงุต
172
+
173
+ 44
174
+ 00:03:58,330 --> 00:04:05,450
175
+ ุฅุฐุง ู‡ูˆ ุงู„ุขู† either ุงู„ sites ู‡ู†ุง ูˆูŠู† ู…ูˆุฌูˆุฏ ูˆุญูƒุง
176
+
177
+ 45
178
+ 00:04:05,450 --> 00:04:07,570
179
+ ู…ูˆุฌูˆุฏ ููŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู‡ุฐูˆู„ ุงู„ุขู† ุงู„ุณุคุงู„ ุงู„ุฃูˆู„
180
+
181
+ 46
182
+ 00:04:07,570 --> 00:04:14,950
183
+ the null ุฃูุดูˆ ุจู‚ุฏุฑุด ุฃุญู„ ุณุคุงู„ 19 ุงู„ู„ูŠ ู‡ูƒูˆู† ุญู„ ุงู„ุญุงุฌุฉ
184
+
185
+ 47
186
+ 00:04:14,950 --> 00:04:16,950
187
+ ู‚ุจู„ ูƒุฏู‡ ู„ุฃู† ุจูŠุญูƒูŠ that none of the hypothesis will
188
+
189
+ 48
190
+ 00:04:16,950 --> 00:04:23,510
191
+ be rejected ุฃูŠ ู†ู„ู‚ู‰ ู„ุฃ ู…ุงููŠ ู„ุฃ ู„ุงุฒู… ูˆู„ุง .. ูƒุฏู‡
192
+
193
+ 49
194
+ 00:04:23,510 --> 00:04:29,310
195
+ ุญู„ู‡ ุจู†ูุน ุฃุญู„ู‡ ู„ุงุฒู…
196
+
197
+ 50
198
+ 00:04:29,310 --> 00:04:32,610
199
+ .. ู„ุงุฒู… ุฃู…ุดูŠ ุนู„ู‰ ู‡ุฐุง ููŠ ุงู„ุฃูˆู„ ู„ุงุฒู… ู‡ุฐุง ุงู„ุณุคุงู„ ุงู„ู„ูŠ
200
+
201
+ 51
202
+ 00:04:32,610 --> 00:04:38,830
203
+ ุจูŠุชุจุนู‡ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ูุงุช ูู„ุงู† ุงู„ุณุคุงู„ ู‡ุฐุง ู‡ูŠู‡ ุนุดุงู†
204
+
205
+ 52
206
+ 00:04:38,830 --> 00:04:42,430
207
+ ุฃุนู…ู„ reject ูˆู„ุง not reject ู„ุงุฒู… ุฃุนุฑู ู‚ูŠู…ุฉ ุงู„ chi
208
+
209
+ 53
210
+ 00:04:42,430 --> 00:04:47,260
211
+ -square ุงู„ุฅุญุตุงุก ู…ุด ู‡ูŠูƒ ุงู„ table ุฒูŠ ู‡ูŠูƒ ุจุชุทู„ุนู„ู‡
212
+
213
+ 54
214
+ 00:04:47,260 --> 00:04:54,040
215
+ ู…ูŠู† ุงู„ Kยฒ ุงู„ุฅุญุตุงุก ู…ุธุจูˆุท ุญุณุจุชูˆู‡ุง ู‚ุจู„ ูƒุฏู‡ ุงู„ุณุคุงู„ 6
216
+
217
+ 55
218
+ 00:04:54,040 --> 00:04:59,960
219
+ ุญู„ุชู‡ ุฅูŠุด ุงู„ุฌูˆุงุจ ุชุจุนู‡ 66
220
+
221
+ 56
222
+ 00:04:59,960 --> 00:05:04,980
223
+ ู‡ุฐุง Kยฒ ุงู„ุฅุญุตุงุก ู‡ุฐุง ู„ุงุฒู… ุฃุทู„ุนู‡ ุทุจ ูƒูŠู ุฃุทู„ุนู‡
224
+
225
+ 57
226
+ 00:05:04,980 --> 00:05:08,880
227
+ ุจุงู„ู‚ุงู†ูˆู† ุงู„ุนุงุฏูŠ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุฎู„ุงุต
228
+
229
+ 58
230
+ 00:05:08,880 --> 00:05:13,600
231
+ ุฅุฐุง ู‡ุฐู‡ ู„ุงุฒู… ุฃุทู„ุนู‡ ูˆุจุฑุถู‡ ุนู†ุฏูŠ ุงู„ุขู† ุงู…ุง ุจุชุทู„ุน ู„ู€
232
+
233
+ 59
234
+ 00:05:13,600 --> 00:05:24,280
235
+ critical point ูƒุงูŠ ุณูƒูˆูŠุฑ Alpha ุนู†ุฏูŠ F ุงู„ู€ Alpha
236
+
237
+ 60
238
+ 00:05:24,280 --> 00:05:27,260
239
+ one percent is okay ุทุจ ุงู„ degrees of freedom ูƒุฏู‡ุŸ
240
+
241
+ 61
242
+ 00:05:27,260 --> 00:05:34,520
243
+ ู„ูŠู‡ R minus one C-1 ูˆุงุถุญ ุนู†ุฏูŠ ุงู„ table ู†ุณู…ูŠู‡ three
244
+
245
+ 62
246
+ 00:05:34,520 --> 00:05:38,620
247
+ by three ู…ุธุจูˆุท ู„ู…ุง ููŠู‡ ุนู†ุฏูŠ three rows ูˆ three
248
+
249
+ 63
250
+ 00:05:38,620 --> 00:05:42,000
251
+ columns ุฅุฐุง three by three table ู„ู…ุง ูŠูƒูˆู† three by
252
+
253
+ 64
254
+ 00:05:42,000 --> 00:05:47,440
255
+ three ุงู„ degrees of them ู…ุด ู…ุชุณุงูˆูŠ four ุงู‡ ุชุตุญู‰
256
+
257
+ 65
258
+ 00:05:47,440 --> 00:05:58,880
259
+ ุงู„ู„ูŠ ุฌู†ุจูƒ ุตุญูŠุฉ ุฅุฐุง ุฃุฑุจุนุฉ ูุทู„ุน ูƒุฃุณ ูƒูˆูŠุฑ ูˆุงุญุฏ
260
+
261
+ 66
262
+ 00:05:58,880 --> 00:06:05,530
263
+ ู…ู† ู…ูŠุง ุนู†ุฏ ุงู„ุฃุฑุจุนุฉ ู…ุงุฐุง ุชุธู‡ุฑ ู…ู† ุงู„ู€ tableุŸ ู‡ุฐู‡ ุงู„ู€
264
+
265
+ 67
266
+ 00:06:05,530 --> 00:06:14,970
267
+ table ุงู„ู„ูŠ ู…ุนุงูƒ ุทูŠุจ
268
+
269
+ 68
270
+ 00:06:14,970 --> 00:06:18,710
271
+ 13.18 ุฅุฐุง ู‡ุงูŠ four degrees of freedom ุจู…ุดูŠ ู„ุบุงูŠุฉ
272
+
273
+ 69
274
+ 00:06:18,710 --> 00:06:26,770
275
+ ุงู„ one percent 13.18 ู…ุนู†ุงูƒ
276
+
277
+ 70
278
+ 00:06:26,770 --> 00:06:35,530
279
+ ุฏู‡ ู‡ุงูŠ square table ุฃุนุทุงู†ูŠ 13.18 ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉ
280
+
281
+ 71
282
+ 00:06:35,530 --> 00:06:44,810
283
+ ู…ู† 13.18 ุฅู„ู‰ ุงู„ุงู†ูุนุงุฑ ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‚ูŠู…ุฉ
284
+
285
+ 72
286
+ 00:06:44,810 --> 00:06:53,470
287
+ ูƒุงูŠูุณูƒูˆูŠุฑ 12.66 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุชุชู„ู‚ู‰ ููŠ ุงู„ู…ู†ุทู‚ุฉ
288
+
289
+ 73
290
+ 00:06:53,470 --> 00:06:57,860
291
+ ุงู„ุชุฎู„ุตุฉ ุฃูˆ ู„ุง ุชุชู„ู‚ู‰ ูˆุงุถุญุฉ ููŠ ุงู„ู€ non-rejection
292
+
293
+ 74
294
+ 00:06:57,860 --> 00:07:02,700
295
+ region ุฅุฐุง ุงู„ู‚ุฑุงุฑ ูŠุนูŠุด we don't reject ุฅุฐุง ุงู„ู€
296
+
297
+ 75
298
+ 00:07:02,700 --> 00:07:10,040
299
+ null hypothesis ุฅู† ุงู„ู€ two variables are
300
+
301
+ 76
302
+ 00:07:10,040 --> 00:07:17,600
303
+ independent ุฅุฐุง
304
+
305
+ 77
306
+ 00:07:17,600 --> 00:07:18,980
307
+ ุงู„ู€ sensor K square value
308
+
309
+ 78
310
+ 00:07:21,650 --> 00:07:27,550
311
+ ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ุฅุญุตุงุก 12.66 ุฃู‚ู„ ู…ู† ุงู„ู†ู‚ุทุฉ ุงู„ุฑุฆูŠุณูŠุฉ
312
+
313
+ 79
314
+ 00:07:27,550 --> 00:07:38,030
315
+ 13.28 ู„ุฐุง ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชู†ุฌุญ ุฃูˆ ุชู†ุฌุญ ููŠ ุชู†ุฌุญ H0
316
+
317
+ 80
318
+ 00:07:38,030 --> 00:07:50,030
319
+ ู†ุนูˆุฏ
320
+
321
+ 81
322
+ 00:07:50,030 --> 00:07:50,990
323
+ ุซุงู†ูŠ ู„ุณุคุงู„ู†ุง
324
+
325
+ 82
326
+ 00:07:56,010 --> 00:07:58,430
327
+ ุฅุฐุง ุงู†ุชุธุฑู†ุง ู„ู€ hypothesis will be rejected ุฅุฌุงุจุฉ
328
+
329
+ 83
330
+ 00:07:58,430 --> 00:08:06,610
331
+ ุฅูŠุดุŸ false ุงู„ู€ 20 ุงู„ู€ B value of this test is
332
+
333
+ 84
334
+ 00:08:06,610 --> 00:08:11,710
335
+ greater than one percent ุจูŠุญูƒูŠ ุงู„ู€ B value ุฃูƒุซุฑ ู…ู†
336
+
337
+ 85
338
+ 00:08:11,710 --> 00:08:18,170
339
+ ูˆุงุญุฏ ุชู„ู…ูŠู‡ ุจุชุณุฃู„ูƒ ู„ู…ุง ุฃู†ุง ุญู„ูŠุช 19 ุทู„ุน ุงู„ู‚ุฑุงุฑ
340
+
341
+ 86
342
+ 00:08:18,170 --> 00:08:22,830
343
+ don't reject zero ุงู„ู„ูŠ ุฃู†ุง ุจุณุฃู„ู†ูŠ ุงู„ B value ุงู„ู„ูŠ
344
+
345
+ 87
346
+ 00:08:22,830 --> 00:08:26,270
347
+ ู„ุฏู‰ ู„ุงุฎุชุจุงุฑ is greater than one percent ู…ุนู†ุงู‡ ู„ุงุฒู…
348
+
349
+ 88
350
+ 00:08:26,270 --> 00:08:31,430
351
+ ุฃุญุณุจ ุงู„ B value ูˆู„ุง ู…ุด ุจุงู„ุถุฑูˆุฑุฉุŸ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุทุงู„ู…ุง
352
+
353
+ 89
354
+ 00:08:31,430 --> 00:08:35,170
355
+ we don't reject ุงู„ zero it means my B value is
356
+
357
+ 90
358
+ 00:08:35,170 --> 00:08:39,810
359
+ greater than alpha ู…ู† ุบูŠุฑ ู…ุง ุฃุญุณุจู‡ ุฅุฐุง since we don't
360
+
361
+ 91
362
+ 00:08:39,810 --> 00:08:43,890
363
+ reject ุงู„ zero this means my B value should be
364
+
365
+ 92
366
+ 00:08:43,890 --> 00:08:47,690
367
+ greater than the level of significance ู…ุด ุฏูŠ ู‚ุถุงูŠุง
368
+
369
+ 93
370
+ 00:08:47,690 --> 00:08:52,050
371
+ ูˆู‚ุช ุจุญุณุจู‡ ู„ูˆ ุญูƒุงู„ูŠ ูŠุญุณุจ ุงู„ู€ P value ุจุญุณุจู‡ุง ุชูƒูˆู†
372
+
373
+ 94
374
+ 00:08:52,050 --> 00:08:55,650
375
+ ู…ุฌุฑุฏ true or false ุจุงู„ุชุงู„ูŠ P value of this is
376
+
377
+ 95
378
+ 00:08:55,650 --> 00:09:01,330
379
+ greater than one percent ู†ุนู… true ุฎู„ุงุต ู„ูƒู† ุฃู†ุง
380
+
381
+ 96
382
+ 00:09:01,330 --> 00:09:06,430
383
+ ู…ู…ูƒู† ุฃุญุณุจู‡ุง ู…ู…ูƒู† ุฃุญุณุจู‡ุง ุจุฑุถู‡ ุฃุญุณุจู„ูƒูŠุง ุนู„ู‰ ุณู„ุณุฉ
384
+
385
+ 97
386
+ 00:09:06,430 --> 00:09:09,530
387
+ ุชุนูˆุจุฉ ุฏู‡ ุฃุญุณุจู„ูƒูŠุง ู‡ู†ุง ุจุดุบู„ ุตุบูŠุฑ ุงู„ P value ู…ุด
388
+
389
+ 98
390
+ 00:09:09,530 --> 00:09:18,740
391
+ ู…ุชุณุงูˆูŠ ู„ probability ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุŸ ุฃูƒุจุฑ ุงู„ู€ 12.66 ูˆู„ุง
392
+
393
+ 99
394
+ 00:09:18,740 --> 00:09:23,880
395
+ ุงู„ู€ 13 ุฏุงุฆู…ุง ู…ุง ุจุทู„ุน ุงู„ B value ู„ู„ุงุฎุชุจุงุฑ ุงู„ู€ K
396
+
397
+ 100
398
+ 00:09:23,880 --> 00:09:29,660
399
+ square ุงู„ุฅุญุตุงุก 12.66 ุทุจุนุง
400
+
401
+ 101
402
+ 00:09:29,660 --> 00:09:33,900
403
+ ุงู„ table ู…ุด ู‡ูŠุนุทูŠู†ูŠ ุงู„ exact answer ู„ุง ููŠ ุงู„ T ูˆู„ุง
404
+
405
+ 102
406
+ 00:09:33,900 --> 00:09:41,000
407
+ ููŠ ุงู„ K square ูุจุทู„ุน ุงู„ approximate answer ุทู„ุน
408
+
409
+ 103
410
+ 00:09:41,000 --> 00:09:46,420
411
+ ู‡ุงูŠ ุงู„ table ุจุชุทู„ุน ุฃู†ุช 4 degrees of freedom ุนู„ู‰ ุงู„
412
+
413
+ 104
414
+ 00:09:46,420 --> 00:09:56,780
415
+ value of 12.66 ูˆุงุถุญ ุฃู† ุงู„ answer ู„ูŠุณ ู…ูˆุฌูˆุฏ ู„ูƒู†
416
+
417
+ 105
418
+ 00:09:56,780 --> 00:10:04,760
419
+ ู…ูˆุฌูˆุฏ ุจูŠู† 11.57 ู…ุธุจูˆุท ูˆู„ุณู‡ ุฃู†ุง ุนุงูŠุฒ ุงู„ 12 ู…ููŠุด 12
420
+
421
+ 106
422
+ 00:10:04,760 --> 00:10:09,770
423
+ ููŠ 13.28 ูุงู„ 12 ู…ูˆุฌูˆุฏ ุจูŠู† ุงู„ ุงุชู†ูŠู† ุฏูˆู„ ู…ุนู†ุงู‡ ูƒุฏู‡
424
+
425
+ 107
426
+ 00:10:09,770 --> 00:10:14,250
427
+ ุงู„ู€ P value ุจุชุงุนุชูŠ ุจูŠู† 1% ูˆ 2% ุฎู„ุงุต ุฅุฐุง ุงู„ P
428
+
429
+ 108
430
+ 00:10:14,250 --> 00:10:20,890
431
+ value ุฃู†ุช ุจุชุฎุชู„ุนู‡ุง between
432
+
433
+ 109
434
+ 00:10:20,890 --> 00:10:25,870
435
+ one and two percent ุฅุฐุง
436
+
437
+ 110
438
+ 00:10:25,870 --> 00:10:28,230
439
+ ู‡ูŠ ู…ุญุตูˆุฑุฉ ุจูŠู† ูˆุงุญุฏ ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ู„ูƒู†
440
+
441
+ 111
442
+ 00:10:28,230 --> 00:10:31,250
443
+ exact answer ุจูŠู‚ุฏุฑุด ุชุทู„ุนู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุชุงุจุน ูŠุนู†ูŠ ู„ูˆ
444
+
445
+ 112
446
+ 00:10:31,250 --> 00:10:34,290
447
+ ุฃุชุทู„ุจ ู…ู†ูŠ ุฃุญุณุจ ุงู„ P value ูƒู„ ู…ุง ุจูƒุชุจู‡ ุฃู† ุงู„ P
448
+
449
+ 113
450
+ 00:10:34,290 --> 00:10:40,410
451
+ value between one percent and two percent ุงู„ู„ูŠ ุจุนุฏู‡
452
+
453
+ 114
454
+ 00:10:40,410 --> 00:10:47,730
455
+ ุงู„ู€ 21 ุงู„ุขู†
456
+
457
+ 115
458
+ 00:10:47,730 --> 00:10:51,670
459
+ ุนู„ู‰ ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ู‚ุฑุงุฑ ุทู„ุน don't reject the zero
460
+
461
+ 116
462
+ 00:10:51,670 --> 00:10:58,630
463
+ ูุจูŠุณุฃู„ the decision made suggest that admission
464
+
465
+ 117
466
+ 00:10:58,630 --> 00:11:02,410
467
+ status at college is independent of the type of
468
+
469
+ 118
470
+ 00:11:02,410 --> 00:11:06,710
471
+ community in which an applicant resides ุงุซู†ูŠู†
472
+
473
+ 119
474
+ 00:11:06,710 --> 00:11:11,430
475
+ ู…ุณุชู‚ู„ูŠู† ุนู† ุจุนุถ ุตุญ ูˆู„ุง ู…ุด ุตุญ ุงุญู†ุง we don't reject
476
+
477
+ 120
478
+ 00:11:11,430 --> 00:11:17,650
479
+ ุงู„ zero ู…ุนู†ุงู‡ don't reject ูŠุนู†ูŠ ุงู„ zero is okay H0
480
+
481
+ 121
482
+ 00:11:17,650 --> 00:11:20,250
483
+ states the two variables of interest are
484
+
485
+ 122
486
+ 00:11:20,250 --> 00:11:24,630
487
+ independent ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู‚ุฑุงุฑ ู…ุงู„ู‡ ุงู„ suggestion
488
+
489
+ 123
490
+ 00:11:24,630 --> 00:11:29,580
491
+ ู‡ู†ุง ุฃู† ุงุซู†ูŠู† independent ุงู„ูƒู„ุงู… ู‡ุฐุง ู…ุงู„ู‡ true ู‡ุฐุง
492
+
493
+ 124
494
+ 00:11:29,580 --> 00:11:33,300
495
+ ุตุญูŠุญ ูˆุงุถุญ ู„ุฃู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠุญูƒูŠ they are
496
+
497
+ 125
498
+ 00:11:33,300 --> 00:11:38,840
499
+ independent isn't it trueุŸ
500
+
501
+ 126
502
+ 00:11:38,840 --> 00:11:47,840
503
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃูŠ ุณุคุงู„ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงู„ู€ 22 ุงู„ุงุฎุชุตุงุฑ
504
+
505
+ 127
506
+ 00:11:47,840 --> 00:11:52,980
507
+ ุงู„ู„ูŠ ู†ูุณู‡ ุณูŠูƒูˆู† ู…ุฌุฑุฏ ู‡ุฐุง ุงู„ุงุฎุชุตุงุฑ ุฅุฐุง ูƒุงู† ู…ุณุชูˆู‰
508
+
509
+ 128
510
+ 00:11:52,980 --> 00:12:01,840
511
+ ุงู„ู…ุนู†ู‰ 5 ุฃู„ู ู„ูˆ ุฎุฏุช ุงู„ู€ Alpha 005
512
+
513
+ 129
514
+ 00:12:01,840 --> 00:12:10,040
515
+ ู†ุญู† ู„ุณู†ุง ู†ุฑูุถ ุนู„ู‰ ู…ุณุชูˆู‰ ู…ูŠุฒุงู†ูŠุฉ 1% ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ
516
+
517
+ 130
518
+ 00:12:10,040 --> 00:12:15,940
519
+ ู‡ู„ ู„ุง ุชุฑูุถ ุนู„ู‰ ุฃูŠ ู…ุณุชูˆู‰ ุฃู‚ู„ ู…ู† AlphaุŸ ุฅุฐุง ุฃู†ุง
520
+
521
+ 131
522
+ 00:12:15,940 --> 00:12:22,760
523
+ ู…ุฑูุถุด 1% ูŠุนู†ูŠ ุงู„ value ุชุจุนุชูŠ ุฃูƒุจุฑ ู…ู† 1% ู‡ู„ ู‡ุฐู‡ ู†ูุณ
524
+
525
+ 132
526
+ 00:12:22,760 --> 00:12:28,160
527
+ ุงู„ู‚ุฑุงุฑ ุฅุฐุง Alpha ู‡ูˆ 005ุŸ ุฅุฐุง ุงู„ู‚ูŠู…ุฉ ุชุจุนุช ุงู„ู€ P
528
+
529
+ 133
530
+ 00:12:28,160 --> 00:12:33,100
531
+ value ุฃูƒุจุฑ ู…ู† 1 ู…ู† 100 ู‡ู„ ู‡ูŠ ู…ุง ุฒุงู„ุช ุฃูƒุจุฑ ู…ู† 5 ู…ู†
532
+
533
+ 134
534
+ 00:12:33,100 --> 00:12:39,840
535
+ 1000ุŸ ู…ุง ุฑุฃูŠูƒุŸ ุทูŠุจ ุจู„ุงุด ุงู„ P value ุฃูƒุจุฑ ู…ู† .. ุงู„
536
+
537
+ 135
538
+ 00:12:39,840 --> 00:12:43,900
539
+ 1 ู…ู† 100 ูŠุนู†ูŠ 10 ู…ู† 1000 ู…ุธุจูˆุทุŸ ุงู„ 1 ู…ู† 100 ุณูˆุงุก
540
+
541
+ 136
542
+ 00:12:43,900 --> 00:12:48,260
543
+ 10 ู…ู† 1000ุŸ
544
+
545
+ 137
546
+ 00:12:48,260 --> 00:12:54,620
547
+ ู†ูุณ ุงู„ุดูŠุก ุฅุฐุง ุงู„ P value ุฃูƒุซุฑ ู…ู† 10 ู…ู† 1000 ุงู„ู„ูŠ
548
+
549
+ 138
550
+ 00:12:54,620 --> 00:12:56,940
551
+ ุฃูƒุซุฑ ู…ู† ุฃุดู‡ุฑ ู…ู† ุฃู„ู ุฃูƒูŠุฏ ุฃูƒุซุฑ ู…ู† ุฎู…ุณุฉ ู…ู† ุฃู„ู
552
+
553
+ 139
554
+ 00:12:56,940 --> 00:13:06,500
555
+ ู…ุธุจูˆุทุŸ ุฃู‡ ุฃู‡ ุทูŠุจ ู…ุด ู…ุดูƒู„ุฉ ุฅุฐุง ูˆุงุถุญ ุฃู† answer is
556
+
557
+ 140
558
+ 00:13:06,500 --> 00:13:11,000
559
+ okay ุทุจูŠุนูŠ ู„ูˆ ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ุชุจุนุชูŠ ุฃูƒุจุฑ ู…ู† ุนุดุฑุฉ ุฃูƒูŠุฏ
560
+
561
+ 141
562
+ 00:13:11,000 --> 00:13:14,340
563
+ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุชุญุตูŠู„ ุญุงุตู„ ู…ุณุชุญูŠู„ ุชูƒูˆู† ู†ุธุฑ ู…ู†ู‡ุง
564
+
565
+ 142
566
+ 00:13:14,340 --> 00:13:17,220
567
+ ูˆู„ุง ู„ุฃุŸ if and still we have the same decision we
568
+
569
+ 143
570
+ 00:13:17,220 --> 00:13:21,820
571
+ don't reject another hypothesis okay next one the
572
+
573
+ 144
574
+ 00:13:21,820 --> 00:13:25,460
575
+ same decision would be made with the test if the
576
+
577
+ 145
578
+ 00:13:25,460 --> 00:13:31,760
579
+ level is five percent ุฅูŠุด ุฑุฃูŠูƒูˆุงุŸ ู„ุฃู† ูƒุจุฑ Alpha
580
+
581
+ 146
582
+ 00:13:31,760 --> 00:13:34,940
583
+ ูƒุงู†ุช ูˆุงุญุฏ ู…ู† ู…ูŠุฉ ุตุบุฑู‡ุง ุดูˆูŠุฉ ุงู„ุขู† ุจูŠุญูƒูŠ ู„ู‡ุง ูˆูƒุจุฑุชู‡ุง
584
+
585
+ 147
586
+ 00:13:34,940 --> 00:13:39,740
587
+ ุฎู„ุช ุฎู…ุณุฉ ุงู„ุขู† ู„ูˆ ูƒุงู†ุช ุจูŠุจู‚ู‰ ู„ู‡ุง ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
588
+
589
+ 148
590
+ 00:13:39,740 --> 00:13:45,860
591
+ ู‡ู„ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉุŸ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุจุงู„ุชุงู„ูŠ ู„ุง ุฅุฐุง ุงู„
592
+
593
+ 149
594
+ 00:13:45,860 --> 00:13:48,600
595
+ decision ุฎุทุฃ is a default
596
+
597
+ 150
598
+ 00:13:51,350 --> 00:13:56,290
599
+ ุงู„ู€ 24 ุงู„ู€ null hypothesis ุงู„ู€ claims ุฏู‡ ุงู„ null
600
+
601
+ 151
602
+ 00:13:56,290 --> 00:13:59,850
603
+ ุจูŠุญูƒูŠ ุงู„ู‚ุงุนุฏุฉ there is no association between
604
+
605
+ 152
606
+ 00:13:59,850 --> 00:14:03,790
607
+ admission status and the college at the college
608
+
609
+ 153
610
+ 00:14:03,790 --> 00:14:06,010
611
+ and the type of community in which an applicant
612
+
613
+ 154
614
+ 00:14:06,010 --> 00:14:10,430
615
+ resides ุงู„ null hypothesis ุจูŠุญูƒูŠ two variables are
616
+
617
+ 155
618
+ 00:14:10,430 --> 00:14:14,810
619
+ independent ู…ุด ู‡ูŠูƒ ุฅูŠุด ู…ุนู†ู‰ independent ู…ุนู†ุงู‡ no
620
+
621
+ 156
622
+ 00:14:14,810 --> 00:14:19,150
623
+ relationship between the two variables ุฃูˆ no
624
+
625
+ 157
626
+ 00:14:19,150 --> 00:14:22,010
627
+ association ุฅุฐุง ุจูŠุญูƒูŠ ุฅู…ุง there is no relationship
628
+
629
+ 158
630
+ 00:14:22,010 --> 00:14:25,430
631
+ ุฃูˆ
632
+
633
+ 159
634
+ 00:14:25,430 --> 00:14:30,650
635
+ ุจูŠุญูƒูŠ no association ู†ูุณ ุงู„ุดูŠุก ุฅุฐุง ุฅู…ุง ุจูŠุญูƒูŠ no
636
+
637
+ 160
638
+ 00:14:30,650 --> 00:14:35,650
639
+ relationship ุฃูˆ ุฃูˆ no relationship ุฃูˆ are
640
+
641
+ 161
642
+ 00:14:35,650 --> 00:14:39,510
643
+ independent ุฃูˆ not related ูƒู„ู‡ุง ู†ูุณ ุงู„ู…ุนู†ู‰ ูู‡ูˆ
644
+
645
+ 162
646
+ 00:14:39,510 --> 00:14:44,570
647
+ ุจูŠุณุฃู„ ุฅู† ู‡ู… ุฃู…ู„ู‡ู… there is no ูƒู„ุงู… ุตุญูŠุญ ุฅุฐุง true
648
+
649
+ 163
650
+ 00:14:44,570 --> 00:14:46,530
651
+ ุฅุฐุง ู‡ุฐู‡ true
652
+
653
+ 164
654
+ 00:14:52,030 --> 00:15:03,930
655
+ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€
656
+
657
+ 165
658
+ 00:15:03,930 --> 00:15:07,170
659
+ H0
660
+
661
+ 166
662
+ 00:15:07,170 --> 00:15:14,870
663
+ ู‡ูˆ ุงู„ู€ H0
664
+
665
+ 167
666
+ 00:15:14,870 --> 00:15:18,130
667
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
668
+
669
+ 168
670
+ 00:15:18,130 --> 00:15:18,150
671
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
672
+
673
+ 169
674
+ 00:15:18,150 --> 00:15:18,450
675
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
676
+
677
+ 170
678
+ 00:15:18,450 --> 00:15:18,470
679
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
680
+
681
+ 171
682
+ 00:15:18,470 --> 00:15:18,570
683
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1
684
+
685
+ 172
686
+ 00:15:18,570 --> 00:15:20,850
687
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ุฅุฐุง ุฏูŠ ู…ุนู†ุงู‡ุง ุฃูˆ they are
688
+
689
+ 173
690
+ 00:15:20,850 --> 00:15:29,630
691
+ related ู†ูุณ ุงู„ู…ุนู†ู‰ ูŠุนู†ูŠ not independent so
692
+
693
+ 174
694
+ 00:15:29,630 --> 00:15:32,610
695
+ all of these have the same meaning either
696
+
697
+ 175
698
+ 00:15:32,610 --> 00:15:36,970
699
+ dependent related not independent ูƒู„ู‘ู‡ ู†ูุณ ุงู„ู…ุนู†ู‰
700
+
701
+ 176
702
+ 00:15:36,970 --> 00:15:41,270
703
+ ู‡ูˆ ุจูŠุญูƒูŠ there is some connection ููŠ ุจุนุถ ุงู„ุงุฑุชุจุงุท
704
+
705
+ 177
706
+ 00:15:41,270 --> 00:15:43,150
707
+ ุฅุฐุง ุงู„ูƒู„ุงู… ูŠุนูŠุด
708
+
709
+ 178
710
+ 00:15:49,400 --> 00:15:57,540
711
+ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู€ 26 The
712
+
713
+ 179
714
+ 00:15:57,540 --> 00:16:01,400
715
+ chi-square test of independence requires that the
716
+
717
+ 180
718
+ 00:16:01,400 --> 00:16:04,640
719
+ expected frequency in each cell is to be at least
720
+
721
+ 181
722
+ 00:16:04,640 --> 00:16:09,420
723
+ 5 ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ู„ูƒ ู‡ู†ุง two types of chi-square ูƒู…ุง
724
+
725
+ 182
726
+ 00:16:09,420 --> 00:16:13,240
727
+ ุฐูƒุฑุช ู…ู† ู‚ุจู„ test for the difference between two
728
+
729
+ 183
730
+ 00:16:13,240 --> 00:16:15,360
731
+ proportions and the assumption was if you remember
732
+
733
+ 184
734
+ 00:16:15,360 --> 00:16:20,080
735
+ the expected frequency should be at least five for
736
+
737
+ 185
738
+ 00:16:20,080 --> 00:16:23,740
739
+ chi-square
740
+
741
+ 216
742
+ 00:19:12,550 --> 00:19:16,290
743
+ ู…ุธุจูˆุท
744
+
745
+ 217
746
+ 00:19:16,290 --> 00:19:20,630
747
+ ุทุจุนุง
748
+
749
+ 218
750
+ 00:19:20,630 --> 00:19:30,510
751
+ ู‡ุฐู‡ ุงุฎุชุตุงุฑ ุฃุฑุจุน ูƒู„ู…ุงุช ุจุชุดู…ู„ ูƒู„ ุญุตุฉ ุฅูŠุด
752
+
753
+ 219
754
+ 00:19:30,510 --> 00:19:31,070
755
+ ุฑุฃูŠูƒู…ุŸ
756
+
757
+ 220
758
+ 00:19:41,060 --> 00:19:46,660
759
+ ุฃุฑุจุน ุฎู…ุณ ูƒู„ู…ุงุช ูƒู„ ูƒู„ู…ุฉ ุนู„ูŠู‡ุง ู†ุต ุฏุฑุฌุฉุŒ ู‡ุงูŠ ู†ุต ู†ุต
760
+
761
+ 221
762
+ 00:19:46,660 --> 00:19:56,580
763
+ ุงู„ุฃูˆู„ู‰ distribution ุฎุทุฃุŒ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ define
764
+
765
+ 222
766
+ 00:19:56,580 --> 00:20:02,300
767
+ ู‡ุงูŠ ูˆุงุญุฏุฉ ุตุญุŒ ู‡ูŠูƒ ู„ุญุธุฉ ุฎู„ูŠู‡ุงุŒ ุจุชูƒู„ู… ุญุตุฉ ุฃูŠ ู…ุซู„ุฉ ููŠ
768
+
769
+ 223
770
+ 00:20:02,300 --> 00:20:07,720
771
+ ุงู„ู„ุญุธุฉ ุนู…ุงู„ ุฃ define ููŠู‡ุง ูˆ ุจูŠุนุฑูู‡ุงุŒ define ุจุณ ุฃุฐูƒุฑ
772
+
773
+ 224
774
+ 00:20:07,720 --> 00:20:11,500
775
+ ุงุณู…ู‡ุง ุนุดุงู† ู„ู…ุง ุฃุญุท ุงู„ุฏุฑุฌุงุช ุฃุนุทูŠูƒ ู†ุตุŒ ู…ุง ุฃู†ุง ู…ุด ..
776
+
777
+ 225
778
+ 00:20:11,500 --> 00:20:20,100
779
+ ุจุณ ุฃุญูƒูŠ ุงู„ู€ C ู‡ุงูŠ ุฏูŠ ุงู„ู€ IุŒ ุงู„ู€ ุณู†ุฉ ูƒู„ู‡ุง ูƒุงู†ุช ู…ุชุฎู„ุตุฉ
780
+
781
+ 226
782
+ 00:20:20,100 --> 00:20:26,140
783
+ collect ุจุงู„ู„ู‡
784
+
785
+ 227
786
+ 00:20:26,140 --> 00:20:29,690
787
+ ูˆู„ุง ูˆุงุญุฏุฉ ุจุชูุชุญ ุงู„ุฌูˆุงู„ุŒ ูŠุนู†ูŠ ุจุญุงุฌุฉ ุชุณุชุฎุฏู… ุงู„ุฌูˆุง ู„ุฃูŠ
788
+
789
+ 228
790
+ 00:20:29,690 --> 00:20:36,470
791
+ ุญุงุฌุฉุŒ ุงู„ู€ O organized variants .. variants ..
792
+
793
+ 229
794
+ 00:20:36,470 --> 00:20:37,770
795
+ variants .. variants .. variants .. variants ..
796
+
797
+ 230
798
+ 00:20:37,770 --> 00:20:39,850
799
+ variants .. variants .. variants .. variants ..
800
+
801
+ 231
802
+ 00:20:39,850 --> 00:20:40,550
803
+ variants .. variants .. variants .. variants ..
804
+
805
+ 232
806
+ 00:20:40,550 --> 00:20:41,870
807
+ variants .. variants .. variants .. variants ..
808
+
809
+ 233
810
+ 00:20:41,870 --> 00:20:42,670
811
+ variants .. variants .. variants .. variants ..
812
+
813
+ 234
814
+ 00:20:42,670 --> 00:20:42,750
815
+ variants .. variants .. variants .. variants ..
816
+
817
+ 235
818
+ 00:20:42,750 --> 00:20:42,790
819
+ variants .. variants .. variants .. variants ..
820
+
821
+ 236
822
+ 00:20:42,790 --> 00:20:42,850
823
+ variants .. variants .. variants .. variants ..
824
+
825
+ 237
826
+ 00:20:42,850 --> 00:20:43,250
827
+ variants .. variants .. variants .. variants ..
828
+
829
+ 238
830
+ 00:20:43,250 --> 00:20:49,890
831
+ variants ..
832
+
833
+ 239
834
+ 00:20:49,890 --> 00:20:52,950
835
+ variants ..
836
+
837
+ 240
838
+ 00:21:00,670 --> 00:21:07,990
839
+ analyzing ู„ุญุธุฉ ุฏูŠ ุงู„ู„ูŠ ุญุตู„ุŒ ุฎู…ุณ ูƒู„ู…ุงุช defineุŒ ุนุฑูุŒ
840
+
841
+ 241
842
+ 00:21:07,990 --> 00:21:09,950
843
+ collectุŒ ุฃุฌู…ุน ุจูŠุงู†ุงุชุŒ organizeุŒ ุฃู‚ูˆู„ ุฅูŠุด ู…ุนู†ุงู‡
844
+
845
+ 242
846
+ 00:21:09,950 --> 00:21:13,730
847
+ organizeุŒ ุชู†ุธูŠู…ุฉุŒ ุญุทู‡ุง ููŠ tablesุŒ ุจุนุฏูŠู† visualizeุŒ
848
+
849
+ 243
850
+ 00:21:13,730 --> 00:21:21,570
851
+ ุจุจุฏุฃ ููŠ ุนู…ู„ูŠุฉ ุฅูŠุด ู…ุนู†ุงู‡ visualize ุฒูŠ
852
+
853
+ 244
854
+ 00:21:21,570 --> 00:21:27,280
855
+ ุฑุคูŠุฉ ู„ู„ู…ุซู„ุฉุŒ analyze ุงู„ุชุญู„ูŠู„ ู‡ูŠ ุชู‚ุฑูŠุจุง ุงู„ุฃุญุณู†ุŒ ู…ุดุงูƒู„
856
+
857
+ 245
858
+ 00:21:27,280 --> 00:21:33,680
859
+ ุงู„ุนุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงุฎุชุตุงุฑู‡ุง DCOV8ุŒ ู‡ุฐู‡ ูˆุงุญุฏุฉ ุนุงู„ู…ุงุดูŠ
860
+
861
+ 246
862
+ 00:21:33,680 --> 00:21:38,920
863
+ ู„ุฃู† ุงู„ู€ course ู…ุงุฆุฉ ุฏุฑุฌุฉ ู…ุด ู‡ูŠูƒ ููŠู‡ุง attendance
864
+
865
+ 247
866
+ 00:21:38,920 --> 00:21:46,960
867
+ plus homework ู‡ุฐูˆ ุนุงู„ู… ุนุดุฑุฉุŒ ู‡ุฐูˆ ุงู„ุนุดุฑุฉ ู‡ุงุฎุฏู‡ู… ู…ู†
868
+
869
+ 248
870
+ 00:21:46,960 --> 00:21:56,900
871
+ ู…ูŠู†ุŸ ู…ู† ุนู„ุงู…ุฉ ุงู„ุนุดุฑุฉ ู‡ุฐูˆู„ ู„ุฃู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุงู„ุชุบูŠุจ
872
+
873
+ 249
874
+ 00:21:56,900 --> 00:22:03,160
875
+ ู‡ุฐุง ู‡ุชูƒูˆู† ุฎู…ุณุฉ ูˆุฎู…ุณุฉุŒ ุฎู…ุณุฉ ุญุถูˆุฑ ูˆุฎู…ุณุฉ ูˆุงุฌุจุงุชุŒ ุงู„ุทุงู„ุจ
876
+
877
+ 250
878
+ 00:22:03,160 --> 00:22:07,380
879
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ู„ุนุฐุฑ ุจุณุจุจ ูŠุนู†ูŠ ุนู†ุฏู‡ ู…ุญุงุถุฑุฉ ููŠ ู†ูุณ ุงู„ูˆู‚ุช
880
+
881
+ 251
882
+ 00:22:07,380 --> 00:22:13,420
883
+ ุจู„ ุฃู†ุง ู‡ุญูƒูŠ ู„ุงุณู…ู‡ ุงู„ู„ูŠ ุงุชุบูŠุจ ู‡ุนุทูŠู‡ ุงู„ุนุดุฑุฉ ุนู„ู‰
884
+
885
+ 252
886
+ 00:22:13,420 --> 00:22:19,820
887
+ ุงู„ูˆุงุฌุจุงุชุŒ ุจุณ ู‡ุชูƒูˆู† ุจุฑุง ุงู„ุญุถูˆุฑุŒ ุงู„ู€ midterm ุฃุฎุฏู†ุง
888
+
889
+ 253
890
+ 00:22:19,820 --> 00:22:25,150
891
+ ุงุชู†ูŠู† ู…ุดูŠุงูƒุŒ ู‡ุฏูˆู„ ุงุชู†ูŠู† ุนู„ูŠู‡ู… ุฃุฑุจุนูŠู†ุŒ ุงู„ู„ูŠ ูƒุงู† ุงู„ุทุงู„ุจ
892
+
893
+ 254
894
+ 00:22:25,150 --> 00:22:29,290
895
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ุนู† ุงู„ู€ .. ุงู„ู„ูŠ ุงุชุบูŠุจ ุนู† ุงู„ุฃูˆู„ ุฏู‡ ุญุณุจู„ู‡
896
+
897
+ 255
898
+ 00:22:29,290 --> 00:22:34,830
899
+ ุงู„ุชุงู†ูŠ ููŠ ุจู‚ู‰ ุฑุจุนูŠู†ุŒ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุงุชุบูŠุจ
900
+
901
+ 256
902
+ 00:22:34,830 --> 00:22:39,730
903
+ ุงู„ุฃูˆู„ ุงู„ุชุงู†ูŠ ููŠ ุงุชู†ูŠู†ุŒ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
904
+
905
+ 257
906
+ 00:22:39,730 --> 00:22:46,690
907
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ
908
+
909
+ 258
910
+ 00:22:46,690 --> 00:22:47,950
911
+ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
912
+
913
+ 259
914
+ 00:22:47,950 --> 00:22:48,910
915
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
916
+
917
+ 260
918
+ 00:22:48,910 --> 00:22:49,750
919
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ
920
+
921
+ 261
922
+ 00:22:49,750 --> 00:22:50,870
923
+ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ
924
+
925
+ 262
926
+ 00:22:50,870 --> 00:22:54,020
927
+ ุงู„ู„ูŠ ุงุชุบูŠุŒ ุฅุฐุง ุงู„ู„ูŠ ู…ุงู‚ุฏู…ุด ุงู„ุฃูˆู„ ุฃุญุณุจู„ู‡ ุงู„ุชุงู†ูŠ ู…ู†
928
+
929
+ 263
930
+ 00:22:54,020 --> 00:22:57,260
931
+ ุงู„ุฃุฑุจุนูŠู†ุŒ ุงู„ู„ูŠ ู…ุงู‚ุฏู…ุด ุงู„ุชุงู†ูŠ ุฃุญุทูˆู„ู‡ ุงู„ุนุดุฑูŠู† ุนู„ู‰ ุงู„ู€
932
+
933
+ 264
934
+ 00:22:57,260 --> 00:23:03,240
935
+ finalุŒ ููŠ ูˆุงุญุฏุฉ ู…ุงู‚ุฏู…ุชุด ุญูƒุช ู…ุนุงู‡ุŒ ู…ุง ุนุฑู
936
+
937
+ 265
938
+ 00:23:03,240 --> 00:23:07,540
939
+ ุงู„ุดูŠูƒุงุช ู…ุง ุฑูู‚ ู…ุฑู‡ุŒ ุฏู‡ ุงู„ุนู…ูˆู… ู‡ู†ู‚ุด ุจุงู„ุชุงู†ูŠุŒ ุงู„ู€
940
+
941
+ 266
942
+ 00:23:07,540 --> 00:23:16,820
943
+ quizzes ุนู„ูŠู‡ู… ุนุดุฑุฉุŒ ู‡ุฏูˆู„ ุงู„ุฃุชู†ูŠู† ู‡ุนู…ู„ ุถุฑุจ for the
944
+
945
+ 267
946
+ 00:23:16,820 --> 00:23:20,560
947
+ lowest quizุŒ ู‡ู†ุฒู„ ุฃู‚ู„ ุฏุฑุฌุฉ ููŠ ุงู„ู€ quiz ูˆ ุฃุญุณุจ ุนู„ู‰
948
+
949
+ 268
950
+ 00:23:20,560 --> 00:23:24,920
951
+ ุงู„ุจุงู‚ูŠุŒ ุงู„ุทุงู„ุจ ุชุบูŠุจ ุนู† ุงู„ู€ quiz ู‡ุดูŠู„ู‡ ูˆ ุฃุญุณู†ู‡ ุงู„ุจุงู‚ูŠ
952
+
953
+ 269
954
+ 00:23:24,920 --> 00:23:27,780
955
+ ุฃูˆ ููŠ ุฏุฑุฌุฉ ู…ุชุฏุงู†ูŠุฉ ู‡ุดูŠู„ู‡ ูƒุฐู„ูƒ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ homework
956
+
957
+ 270
958
+ 00:23:27,780 --> 00:23:36,440
959
+ ุฅุฐุง ูƒู… ูˆุงุฌุจ ุฃุฎุฏู†ุงุŸ ุฎู…ุณุฉุŸ ุดูˆ
960
+
961
+ 271
962
+ 00:23:36,440 --> 00:23:42,800
963
+ ุงู„ุงุชู†ูŠู†ุŸ ุงู„ูˆุงุฌุจุงุชุŸ ู…ุง ุจุญูƒูŠ ุนู† ุงู„ูˆุงุฌุจุงุชุŒ ุงู„ูˆุงุฌุจุงุช
964
+
965
+ 272
966
+ 00:23:42,800 --> 00:23:46,380
967
+ ุฎู…ุณุฉ ุฃุญุณุจู„ูƒ ุฃุญุณู† ุฃุฑุจุนุฉุŒ ุงู„ู€ quizzes ุชู„ุงุชุฉ ุฃุญุณุจู„ูƒ
968
+
969
+ 273
970
+ 00:23:46,380 --> 00:23:49,200
971
+ ุฃุญุณู† ุงุชู†ูŠู† ุจุณ
972
+
973
+ 274
974
+ 00:23:54,290 --> 00:23:59,510
975
+ ูˆุงู„ู€ Final ุฃุฑุจุนูŠู† ู„ุฃู† ุงู„ู€ Final ุทุจุนุง comprehensive
976
+
977
+ 275
978
+ 00:23:59,510 --> 00:24:07,430
979
+ exam ุงู†ุชุญุงุฑ
980
+
981
+ 276
982
+ 00:24:07,430 --> 00:24:13,870
983
+ ุดุงู…ู„ุŒ ู„ูƒู† ู…ุน ุงู„ุชุฑูƒูŠุฒ ุนู„ู‰ last three chapters ูŠุนู†ูŠ
984
+
985
+ 277
986
+ 00:24:13,870 --> 00:24:18,330
987
+ ุฃูƒุชุฑ ุดูŠุก ู‡ูŠูƒูˆู† ุชุณุนุฉ ุฃูˆ ุนุดุฑ ุฃูˆ ุฃุญุฏ ุนุดุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
988
+
989
+ 278
990
+ 00:24:18,330 --> 00:24:22,010
991
+ hypothesis testing ุฎู„ุงุต
992
+
993
+ 279
994
+ 00:24:22,990 --> 00:24:30,370
995
+ ูˆุทุจุนุง ุฃุญูŠุงู†ุง ุนู„ู‰ ุงู„ุฃู‚ู„ 70% ูˆุงู„ู€
996
+
997
+ 280
998
+ 00:24:30,370 --> 00:24:39,990
999
+ 30% ุจูŠูƒูˆู† ุนู„ู‰ 3 ูˆ6 ูˆ7 ุฎู„ุงุต
1000
+
1001
+ 281
1002
+ 00:24:39,990 --> 00:24:52,130
1003
+ ู…ู† ู†ู…ุท ุงู„ุงู…ุชุญุงู† ุชู„ุช ุดุบู„ุงุชุŒ ุงู„ู€ True FalseุŒ HMCQ
1004
+
1005
+ 282
1006
+ 00:24:53,760 --> 00:25:02,060
1007
+ ู‡ุฐู‡ ู…ุงู„ู‡ุงุด ุฏุฑุฌุงุชุŒ ู…ุงู„ู‡ุงุด ุฏุฑุฌุงุช ู‡ุฐู‡ุŒ ูˆ ุงู„ุณุคุงู„ ุงู„ุชุงู„ุช
1008
+
1009
+ 283
1010
+ 00:25:02,060 --> 00:25:07,980
1011
+ ุงุญู†ุง ุจู†ุณู…ูŠู‡ free responseุŒ free
1012
+
1013
+ 284
1014
+ 00:25:07,980 --> 00:25:12,260
1015
+ response ูŠุนู†ูŠ ุงู„ุณุคุงู„ ุจุชุญู„ูŠู‡ ุฅุฌุงุจุงุชูŠ ู…ูุชูˆุญุฉ ูŠุนู†ูŠ
1016
+
1017
+ 285
1018
+ 00:25:12,260 --> 00:25:17,760
1019
+ ุงู„ุณุคุงู„ ุฒูŠ ุงุญุณุจูƒ I squared ุงุญุณุจูƒ ุจ value ูˆ ู‡ูŠูƒ ุฎู„ุงุต
1020
+
1021
+ 286
1022
+ 00:25:17,760 --> 00:25:20,360
1023
+ ูˆ ุงู„ูุงูŠู„ุฉ ุฃู†ุง ู‡ุตุญู‡ ุฅู† ุดุงุก ุงู„ู„ู‡
1024
+
1025
+ 287
1026
+ 00:25:26,080 --> 00:25:38,340
1027
+ ู†ุนู…ุŒ ุงู„ู„ูŠ ุฃู†ุง ุตูุงูŠู‡ ูˆ ุฃุฑุจุนูŠู† ูˆ ูˆุงุญุฏุฉ ุดู‡ูŠุฉุŒ ุญู…ุงู„ูƒ
1028
+
1029
+ 288
1030
+ 00:25:38,340 --> 00:25:43,100
1031
+ ุดูˆููŠู‡ุŒ ู‡ุฐุง ุญุชู‰ ู…ุง ุญูƒูŠุชู‡ุงุด ุนู†ุฏ ุงู„ุทู„ุงุจุŒ ุญู…ุงู„ุฉ ูƒุงู„ุงุชูŠ
1032
+
1033
+ 289
1034
+ 00:25:43,100 --> 00:25:47,420
1035
+ ุนุดุงู† ุฎุงุทุฑูƒ ุจุณ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† ุฎู…ุณุชุงุดุฑ ูˆ ุงู„ู„ูŠ ุฃุนู„ู‰ ู…ู†
1036
+
1037
+ 290
1038
+ 00:25:47,420 --> 00:25:47,920
1039
+ ุงู„ุฎู…ุณ ุนุดุฑ
1040
+
1041
+ 291
1042
+ 00:25:50,910 --> 00:25:54,350
1043
+ ูŠุนู†ูŠ ุจุชุงุฎุฏ ุฏุฑุฌุชูŠู† ู…ุด ู…ู† ุนุดุฑูŠู† ุนุดุฑูŠู†ุŒ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†
1044
+
1045
+ 292
1046
+ 00:25:54,350 --> 00:25:57,270
1047
+ ุฎู…ุณุชุงุดุฑ ูˆ ุงู„ู„ูŠ ุฃุนู„ู‰ ู…ู† ุนุดุฑูŠู†ุŒ ู…ู† ุฎู…ุณุฉ ูˆุนุดุฑูŠู†
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/Wo7DhCHH8uM_postprocess.srt ADDED
@@ -0,0 +1,1168 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:22,890
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… we will
4
+
5
+ 2
6
+ 00:00:22,890 --> 00:00:28,870
7
+ finish this course I will give some practice
8
+
9
+ 3
10
+ 00:00:28,870 --> 00:00:34,050
11
+ problems for chapter 11 let's start with the one
12
+
13
+ 4
14
+ 00:00:34,050 --> 00:00:38,270
15
+ you didn't do in the session ุงูŠุด ู…ุงุฎุฏุชูˆุด ููŠ ุงู„
16
+
17
+ 5
18
+ 00:00:38,270 --> 00:00:42,490
19
+ session ู†ุญู„ ู…ุน ุจุนุถ ู†ุญู„ูŠ 11
20
+
21
+ 6
22
+ 00:00:51,060 --> 00:00:55,780
23
+ ุงู„ุณุคุงู„ ู‡ูŠ ุฏู‡ ู…ุด ู‡ูŠ ุทุจ
24
+
25
+ 7
26
+ 00:00:55,780 --> 00:00:59,660
27
+ 1111 ุณุคุงู„ ูŠุนู†ูŠ ุจูŠุงุฎุฏ ุชู‚ุฑูŠุจุง ู…ุนุธู… ุงู„ุฌุฒูŠุงุช ุงู„ู„ูŠ ุงุญู†ุง
28
+
29
+ 8
30
+ 00:00:59,660 --> 00:01:05,860
31
+ ุนุงูŠุฒูŠู†ู‡ุง ุจูŠุญูƒูŠ the director of admissions at state
32
+
33
+ 9
34
+ 00:01:05,860 --> 00:01:09,360
35
+ college is interested in seeing if admissions
36
+
37
+ 10
38
+ 00:01:09,360 --> 00:01:15,300
39
+ status ุงู„ admission status ู‡ุชูƒู„ู… ุนู† admission
40
+
41
+ 11
42
+ 00:01:23,650 --> 00:01:27,910
43
+ admission status has
44
+
45
+ 12
46
+ 00:01:27,910 --> 00:01:31,970
47
+ three types ุงู…ุง admitted ุชุนุฑู ุงุญู†ุง ู…ู‚ุฏู… ู„ู„ุฌุงู…ุนุฉ
48
+
49
+ 13
50
+ 00:01:31,970 --> 00:01:39,570
51
+ ุงู…ุง ูŠู‚ุจู„ ูŠุนู†ูŠ admitted ุงูˆ
52
+
53
+ 14
54
+ 00:01:39,570 --> 00:01:47,830
55
+ ูŠูƒูˆู† ููŠ ุงู„ waiting list ุงูˆ
56
+
57
+ 15
58
+ 00:01:47,830 --> 00:01:50,990
59
+ ูŠูƒูˆู† denied admission
60
+
61
+ 16
62
+ 00:01:54,630 --> 00:01:57,810
63
+ ู‡ุฏูˆู„ ุงู„ .. ู‡ุฏูˆู„ ุงู„ status ู„ุฃูŠ ูˆุงุญุฏ ุจูŠู‚ุฏู… ู„ู„ุฌุงู…ุนุฉ
64
+
65
+ 17
66
+ 00:01:57,810 --> 00:02:01,590
67
+ ุฅู…ุง ูŠู‚ุจู„ ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุงู„ waiting list ูŠุนู†ูŠ ู…ู…ูƒู†
68
+
69
+ 18
70
+ 00:02:01,590 --> 00:02:05,590
71
+ ูŠุชุตู„ูˆุง ููŠู‡ ุจุนุฏูŠู† ุฃูˆ ูŠุชู… denied ู„ู„ .. ุงู„ admission
72
+
73
+ 19
74
+ 00:02:05,590 --> 00:02:10,250
75
+ ุทุจุนุง ูŠุนู†ูŠ ุชู… ุฑูุถ ุงู„ admission ุทุจุนุง at his college
76
+
77
+ 20
78
+ 00:02:10,250 --> 00:02:13,270
79
+ is independent ุงู„ director ุจูŠุญูƒูŠ ุฃู† ุงู„ admission
80
+
81
+ 21
82
+ 00:02:13,270 --> 00:02:21,680
83
+ status ู‡ุฐุง ุฃูˆู„ variable is independentof the type
84
+
85
+ 22
86
+ 00:02:21,680 --> 00:02:25,820
87
+ of community in which the applicant resides he
88
+
89
+ 23
90
+ 00:02:25,820 --> 00:02:30,040
91
+ takes a sample of recent admissions decisions and
92
+
93
+ 24
94
+ 00:02:30,040 --> 00:02:34,180
95
+ forms the following table ุงู„ุงู† ูˆูŠู† ู‡ูˆ ู…ูˆุฌูˆุฏ ูˆูŠู†
96
+
97
+ 25
98
+ 00:02:34,180 --> 00:02:42,980
99
+ ุจูŠุณูƒู† ู‡ุฐู‡ ุงู„ three types ุงู…ุง urban ูŠุนู†ูŠ
100
+
101
+ 26
102
+ 00:02:42,980 --> 00:02:51,560
103
+ ุณุงูƒู† ููŠ ุงู„ู…ุฏูŠู†ุฉ ู†ูุชุฑุถ ุงูˆ rural ุงูˆ sub urbanูŠุนู†ูŠ ููŠ
104
+
105
+ 27
106
+ 00:02:51,560 --> 00:02:58,780
107
+ ุงู„ุถูˆุงุญูŠ ุงู„ุจู„ุฏ ุงู„ุงู†
108
+
109
+ 28
110
+ 00:02:58,780 --> 00:03:04,200
111
+ ู‡ูˆ ุณูŠุณุชุฎุฏู… ู‡ุฐุง ุงู„ุทุงุจู‚ ู„ุชุฌุงุฑุจ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช ุงูƒูŠุฏ
112
+
113
+ 29
114
+ 00:03:04,200 --> 00:03:08,460
115
+ ุงุญู†ุง ุณู†ุณุชุฎุฏู… ูƒุงูŠ ุณูƒูˆุงุฑ ูƒุงูŠ ุณูƒูˆุงุฑ ู„ุฏูŠู†ุง ุงุซู†ูŠู† ู†ูˆุน
116
+
117
+ 30
118
+ 00:03:08,460 --> 00:03:11,400
119
+ ู…ู† ูƒุงูŠ ุณูƒูˆุงุฑ ูˆุงุญุฏ ูƒุงูŠ ุณูƒูˆุงุฑ ู„ู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงุซู†ูŠู†
120
+
121
+ 31
122
+ 00:03:11,400 --> 00:03:16,280
123
+ ู…ู‚ุงุฑู†ุฉ ู…ุธุจูˆุท ูˆุงุฎุฑ ูˆุงุญุฏ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช ู…ุณุชู‚ู„ ุนู†ุฏู…ุง
124
+
125
+ 32
126
+ 00:03:16,280 --> 00:03:19,320
127
+ ูŠูƒูˆู† ู„ุฏูŠู†ุง ุงูƒุชุฑ ู…ู† ุงุซู†ูŠู†ุงู„ู€ categories when we
128
+
129
+ 33
130
+ 00:03:19,320 --> 00:03:22,220
131
+ have three by three ุจู†ุณุชุฎุฏู… ุงู„ู€ chi-square of
132
+
133
+ 34
134
+ 00:03:22,220 --> 00:03:25,900
135
+ independence ู…ุด ู‡ูŠูƒ ุฃู†ุง ุดุฑุญุช ุงู„ู„ู‚ุงุก ูƒุงู…ู„ ุนู„ู‰ chi
136
+
137
+ 35
138
+ 00:03:25,900 --> 00:03:29,220
139
+ -square ู„ difference between two proportions ุจุนุฏู‡ุง
140
+
141
+ 36
142
+ 00:03:29,220 --> 00:03:32,380
143
+ ุนู…ู„ู†ุง extension ู„ู„ result ูˆุงุฎุฏู†ุงู‡ุง if we have more
144
+
145
+ 37
146
+ 00:03:32,380 --> 00:03:35,680
147
+ than two groups ุงู„ more than two groups ุณู…ูŠู‡ุง chi
148
+
149
+ 38
150
+ 00:03:35,680 --> 00:03:38,880
151
+ -square test of independence chi-square ู„ุงุณุชู‚ู„ุงู„
152
+
153
+ 39
154
+ 00:03:38,880 --> 00:03:41,760
155
+ ูˆุงุถุญ ุงู„ุฃูˆู„ูŠุงู† ุงู„ chi-square ู„ู„ูุฑู‚ ุจูŠู† two
156
+
157
+ 40
158
+ 00:03:41,760 --> 00:03:44,760
159
+ proportions ุงู„ู„ูŠ ุจู†ุญู„ู‡ ู…ู…ูƒู† ุนู„ู‰ chapter ุนุดุฑ ุงู„ู„ูŠ
160
+
161
+ 41
162
+ 00:03:44,760 --> 00:03:48,390
163
+ ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ู‡ูŠูƒูู‡ูˆ ุงู„ุฃู† ุฃูƒูŠุฏ ู‡ูŠุณุชุฎุฏู… k-squared test
164
+
165
+ 42
166
+ 00:03:48,390 --> 00:03:53,210
167
+ of independence with alpha level of significance
168
+
169
+ 43
170
+ 00:03:53,210 --> 00:03:58,330
171
+ to be one percent ุฎู„ุงุต
172
+
173
+ 44
174
+ 00:03:58,330 --> 00:04:05,450
175
+ ุฅุฐุง ู‡ูˆ ุงู„ุขู† either ุงู„ sites ู‡ู†ุง ูˆูŠู† ู…ูˆุฌูˆุฏ ูˆุญูƒุง
176
+
177
+ 45
178
+ 00:04:05,450 --> 00:04:07,570
179
+ ู…ูˆุฌูˆุฏ ููŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู‡ุฐูˆู„ ุงู„ุขู† ุงู„ุณุคุงู„ ุงู„ุฃูˆู„
180
+
181
+ 46
182
+ 00:04:07,570 --> 00:04:14,950
183
+ the null ุฃูุดูˆ ุจู‚ุฏุฑุด ุฃุญู„ ุณุคุงู„ 19ุงู„ู„ูŠ ู‡ูƒูˆู† ุญู„ ุงู„ุญุงุฌุฉ
184
+
185
+ 47
186
+ 00:04:14,950 --> 00:04:16,950
187
+ ู‚ุจู„ ู‡ูŠูƒ ู„ุฃู† ุจูŠุญูƒูŠ that none of the hypothesis will
188
+
189
+ 48
190
+ 00:04:16,950 --> 00:04:23,510
191
+ be rejected ุงูŠ ู†ู„ู‚ู‰ ู„ุฃ ู…ุงููŠ ู„ุฃ ู„ุงุฒู… ูˆ ู„ุง .. ูƒุฏู‡
192
+
193
+ 49
194
+ 00:04:23,510 --> 00:04:29,310
195
+ ุญู„ู‡ ุจู†ูุน ุฃุญู„ู‡ ู„ุงุฒู…
196
+
197
+ 50
198
+ 00:04:29,310 --> 00:04:32,610
199
+ .. ู„ุงุฒู… ุฃู…ุดูŠ ุนู„ู‰ ู‡ุฐุง ููŠ ุงู„ุฃูˆู„ ู„ุงุฒู… ู‡ุฐุง ุงู„ุณุคุงู„ ุงู„ู„ูŠ
200
+
201
+ 51
202
+ 00:04:32,610 --> 00:04:38,830
203
+ ุจูŠุชุจุนู‡ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ูุงุช ูู„ุงู† ุงู„ุณุคุงู„ ู‡ุฐุง ู‡ูŠู‡ ุนุดุงู†
204
+
205
+ 52
206
+ 00:04:38,830 --> 00:04:42,430
207
+ ุฃุนู…ู„ reject ูˆู„ุง not reject ู„ุงุฒู… ุฃุนุฑู ู‚ูŠู…ุฉ ุงู„ chi
208
+
209
+ 53
210
+ 00:04:42,430 --> 00:04:47,260
211
+ -squareุงู„ุณุชุงุชูŠุณุชูƒ ู…ุด ู‡ูŠูƒ ุงู„ table ุฒูŠ ู‡ูŠูƒ ุจุชุทู„ุนู„ู‡
212
+
213
+ 54
214
+ 00:04:47,260 --> 00:04:54,040
215
+ ู…ูŠู† ุงู„ Kยฒ ุงู„ุณุชุงุช ู…ุธุจูˆุท ุญุณุจุชูˆู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุงู„ุณุคุงู„ 6
216
+
217
+ 55
218
+ 00:04:54,040 --> 00:04:59,960
219
+ ุญู„ุชู‡ ุงูŠุด ุงู„ุฌูˆุงุจ ุชุจุนู‡ 66
220
+
221
+ 56
222
+ 00:04:59,960 --> 00:05:04,980
223
+ ู‡ุฐุง Kยฒ ุงู„ุณุชุงุชูŠุณุชูƒ ู‡ุฐุง ู„ุงุฒู… ุฃุทู„ุนู‡ุง ุทุจ ูƒูŠู ุฃุทู„ุนู‡ุง
224
+
225
+ 57
226
+ 00:05:04,980 --> 00:05:08,880
227
+ ุจุงู„ู‚ุงู†ูˆู† ุงู„ุนุงุฏู‰ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุฎู„ุงุต
228
+
229
+ 58
230
+ 00:05:08,880 --> 00:05:13,600
231
+ ุฅุฐุง ู‡ุฐู‡ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆุจุฑุถู‡ุนู†ุฏูŠ ุงู„ุงู† ุงู…ุง ุจุชุทู„ุน ู„ู€
232
+
233
+ 59
234
+ 00:05:13,600 --> 00:05:24,280
235
+ critical point ูƒุงูŠ ุณูƒูˆูŠุฑ Alpha ุนู†ุฏูŠ F ุงู„ู€ Alpha
236
+
237
+ 60
238
+ 00:05:24,280 --> 00:05:27,260
239
+ one percent is okay ุทุจ ุงู„ degrees of freedom ูƒุฏู‡ุŸ
240
+
241
+ 61
242
+ 00:05:27,260 --> 00:05:34,520
243
+ ู„ูŠู‡ R minus oneC-1 ูˆุงุถุญ ุนู†ุฏู‰ ุงู„ table ู†ุณู…ูŠู‡ three
244
+
245
+ 62
246
+ 00:05:34,520 --> 00:05:38,620
247
+ by three ู…ุธุจูˆุท ู„ู…ุง ููŠู‡ ุนู†ุฏู‰ three rows ูˆthree
248
+
249
+ 63
250
+ 00:05:38,620 --> 00:05:42,000
251
+ columns ุงุฐุง three by three table ู„ู…ุง ูŠูƒูˆู† three by
252
+
253
+ 64
254
+ 00:05:42,000 --> 00:05:47,440
255
+ three ุงู„ degrees of them ู…ุด ู…ุชุณุงูˆูŠ four ุงู‡ ุชุตุญู‰
256
+
257
+ 65
258
+ 00:05:47,440 --> 00:05:58,880
259
+ ุงู„ู„ู‰ ุฌู†ุจูƒ ุตุญูŠู‡ ุงุฐุง ุงุฑุจุนุฉ ูุทู„ุน ูƒุฃุณ ูƒูˆูŠุฑ ูˆุงุญุฏ
260
+
261
+ 66
262
+ 00:05:58,880 --> 00:06:05,530
263
+ ู…ู† ู…ูŠุง ุนู†ุฏ ุงู„ุฃุฑุจุนุฉู…ุงุฐุง ุชุธู‡ุฑ ู…ู† ุงู„ู€ tableุŸ ู‡ุฐู‡ ุงู„ู€
264
+
265
+ 67
266
+ 00:06:05,530 --> 00:06:14,970
267
+ table ุงู„ู„ูŠ ู…ุนุงูƒ ุทูŠุจ
268
+
269
+ 68
270
+ 00:06:14,970 --> 00:06:18,710
271
+ 13.18 ุฅุฐุง ู‡ุงูŠ four degrees of freedom ุจู…ุดูŠ ู„ุบุงูŠุฉ
272
+
273
+ 69
274
+ 00:06:18,710 --> 00:06:26,770
275
+ ุงู„ one percent 13.18 ู…ุนู†ุงูƒ
276
+
277
+ 70
278
+ 00:06:26,770 --> 00:06:35,530
279
+ ุฏู‡ ู‡ุงูŠ square tableุฃุนุทุงู†ูŠ 13.18 ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉ
280
+
281
+ 71
282
+ 00:06:35,530 --> 00:06:44,810
283
+ ู…ู† 13.18 ุฅู„ู‰ ุงู„ุงู†ูุนุงุฑ ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‚ูŠู…ุฉ
284
+
285
+ 72
286
+ 00:06:44,810 --> 00:06:53,470
287
+ ูƒุงูŠูุณูƒูˆูŠุฑ 12.66 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุชุชู„ู‚ู‰ ููŠ ุงู„ู…ู†ุทู‚ุฉ
288
+
289
+ 73
290
+ 00:06:53,470 --> 00:06:57,860
291
+ ุงู„ุชุฎู„ุตุฉ ุฃูˆ ู„ุง ุชุชู„ู‚ู‰ูˆุงุถุญูŠุฉ ููŠ ุงู„ู€ non-rejection
292
+
293
+ 74
294
+ 00:06:57,860 --> 00:07:02,700
295
+ region ุฅุฐุง ุงู„ู‚ุฑุงุฑ ูŠุนูŠุดุŒ we don't reject ุฅุฐุง ุงู„ู€
296
+
297
+ 75
298
+ 00:07:02,700 --> 00:07:10,040
299
+ null hypothesis ุฅู† ุงู„ู€ two variables are
300
+
301
+ 76
302
+ 00:07:10,040 --> 00:07:17,600
303
+ independent ุฅุฐุง
304
+
305
+ 77
306
+ 00:07:17,600 --> 00:07:18,980
307
+ ุงู„ู€ sensor K square value
308
+
309
+ 78
310
+ 00:07:21,650 --> 00:07:27,550
311
+ ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ุณุชูŠุณุชูŠูƒ 12.66 ุฃู‚ู„ ู…ู† ุงู„ู†ู‚ุทุฉ ุงู„ุฑุฆูŠุณูŠุฉ
312
+
313
+ 79
314
+ 00:07:27,550 --> 00:07:38,030
315
+ 13.28 ู„ุฐุง ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชู†ุฌุญ ุฃูˆ ุชู†ุฌุญ ููŠ ุชู†ุฌุญ H0
316
+
317
+ 80
318
+ 00:07:38,030 --> 00:07:50,030
319
+ ู†ุนูˆุฏ
320
+
321
+ 81
322
+ 00:07:50,030 --> 00:07:50,990
323
+ ุชุงู†ูŠ ู„ุณุคุงู„ู†ุง
324
+
325
+ 82
326
+ 00:07:56,010 --> 00:07:58,430
327
+ ุฅุฐุง ุงู†ุชุธุฑู†ุง ู„ู€ hypothesis will be rejectedุŒ ุฅุฌุงุจุฉ
328
+
329
+ 83
330
+ 00:07:58,430 --> 00:08:06,610
331
+ ุงูŠุดุŸ false ุงู„ู€ 20ุŒ ุงู„ู€ B value of this test is
332
+
333
+ 84
334
+ 00:08:06,610 --> 00:08:11,710
335
+ greater than one percent ุจูŠุญูƒูŠ ุงู„ู€ B value ุฃูƒุชุฑ ู…ู†
336
+
337
+ 85
338
+ 00:08:11,710 --> 00:08:18,170
339
+ ูˆุงุญุฏ ุชู„ู…ูŠู‡ุŒ ุจุชุณุฃู„ูƒ ู„ู…ุง ุฃู†ุง ุญู„ูŠุช 19ุŒ ุทู„ุน ุงู„ู‚ุฑุงุฑ
340
+
341
+ 86
342
+ 00:08:18,170 --> 00:08:22,830
343
+ don't reject zeroุงู„ู„ูŠ ุฃู†ุง ุจุณุฃู„ู†ู‰ ุงู„ B value ุงู„ู„ูŠ
344
+
345
+ 87
346
+ 00:08:22,830 --> 00:08:26,270
347
+ ู„ุฏู‰ ู„ุงุฎุชุจุงุฑ is greater than one percent ู…ุนู†ุงู‡ ู„ุงุฒู…
348
+
349
+ 88
350
+ 00:08:26,270 --> 00:08:31,430
351
+ ุฃุญุณุจ ุงู„ B value ูˆู„ุง ู…ุด ุจุงู„ุถุฑูˆุฑุฉุŸ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุทุงู„ู…ุง
352
+
353
+ 89
354
+ 00:08:31,430 --> 00:08:35,170
355
+ we don't reject ุงู„ zero it means my B value is
356
+
357
+ 90
358
+ 00:08:35,170 --> 00:08:39,810
359
+ greater than alpha ู…ู† ุบูŠุฑ ู…ุญุณุจ ุงุฐุง since we don't
360
+
361
+ 91
362
+ 00:08:39,810 --> 00:08:43,890
363
+ reject ุงู„ zero this means my B value should be
364
+
365
+ 92
366
+ 00:08:43,890 --> 00:08:47,690
367
+ greater than the level of significanceู…ุด ุฏูŠ ู‚ุถุงูŠุง
368
+
369
+ 93
370
+ 00:08:47,690 --> 00:08:52,050
371
+ ูˆู‚ุช ุจุญุณุจู‡ ู„ูˆ ุญูƒุงู„ุฉ ูŠุญุณุจ ุงู„ู€ P value ุจุญุณุจู‡ุง ุชูƒูˆู†
372
+
373
+ 94
374
+ 00:08:52,050 --> 00:08:55,650
375
+ ู…ุฌุฑุฏ true or false ุจุงู„ุชุงู„ูŠ P value of this is
376
+
377
+ 95
378
+ 00:08:55,650 --> 00:09:01,330
379
+ greater than one percent ู†ุนู… true ุฎู„ุงุต ู„ูƒู† ุฃู†ุง
380
+
381
+ 96
382
+ 00:09:01,330 --> 00:09:06,430
383
+ ู…ู…ูƒู† ุฃุญุณุจู‡ุง ู…ู…ูƒู† ุฃุญุณุจู‡ุง ุจุฑุถู‡ ุฃุญุณุจู„ูƒูŠุง ุนู„ู‰ ุณู„ุณุฉ
384
+
385
+ 97
386
+ 00:09:06,430 --> 00:09:09,530
387
+ ุชุนูˆุจุฉ ุฏู‡ ุฃุญุณุจู„ูƒูŠุง ู‡ู†ุง ุจุดุบู„ ุตุบูŠุฑ ุงู„ P value ู…ุด
388
+
389
+ 98
390
+ 00:09:09,530 --> 00:09:18,740
391
+ ู…ุชุณุงูˆูŠ ู„ probability ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุฃูƒุจุฑ ุงู„ู€ 12.66 ูˆู„ุง
392
+
393
+ 99
394
+ 00:09:18,740 --> 00:09:23,880
395
+ ุงู„ู€ 13 ุฏุงุฆู…ุง ู…ุง ุจุทู„ุน ุงู„ B value ู„ู„ุงุฎุชุจุงุฑ ุงู„ู€ K
396
+
397
+ 100
398
+ 00:09:23,880 --> 00:09:29,660
399
+ square ุงู„ statistic 12.66 ุทุจุนุง
400
+
401
+ 101
402
+ 00:09:29,660 --> 00:09:33,900
403
+ ุงู„ table ู…ุด ู‡ูŠุนุทูŠู†ูŠ ุงู„ exact answer ู„ุง ููŠ ุงู„ T ูˆู„ุง
404
+
405
+ 102
406
+ 00:09:33,900 --> 00:09:41,000
407
+ ููŠ ุงู„ K square ูุจุทู„ุน ุงู„ approximate answer ุทู„ุน
408
+
409
+ 103
410
+ 00:09:41,000 --> 00:09:46,420
411
+ ู‡ุงูŠ ุงู„ tableุจุชุทู„ุน ุงู†ุช 4 degrees of freedom ุนู„ู‰ ุงู„
412
+
413
+ 104
414
+ 00:09:46,420 --> 00:09:56,780
415
+ value of 12.66 ูˆุงุถุญ ุงู† ุงู„ answer ู„ูŠุณ ู…ูˆุฌูˆุฏ ู„ูƒู†
416
+
417
+ 105
418
+ 00:09:56,780 --> 00:10:04,760
419
+ ู…ูˆุฌูˆุฏ ุจูŠู† 11.57 ู…ุธุจูˆุท ูˆ ู„ุณู‡ ุงู†ุง ุนุงูŠุฒ ุงู„ 12 ู…ููŠุด 12
420
+
421
+ 106
422
+ 00:10:04,760 --> 00:10:09,770
423
+ ููŠ 13.28 ูุงู„ 12 ู…ูˆุฌูˆุฏ ุจูŠู† ุงู„ ุงุชู†ูŠู† ู‡ุฏูˆู„ู…ุนู†ุงู‡ ูƒุฏู‡
424
+
425
+ 107
426
+ 00:10:09,770 --> 00:10:14,250
427
+ ุงู„ู€ P value ุจุชุงุนุชูŠ ุจูŠู† 1% ูˆ 2% ุฎู„ุงุตุŒ ุฅุฐุง ุงู„ P
428
+
429
+ 108
430
+ 00:10:14,250 --> 00:10:20,890
431
+ value ุฃู†ุช ุจุชุฎุชู„ุนู‡ุง between
432
+
433
+ 109
434
+ 00:10:20,890 --> 00:10:25,870
435
+ one and two percent ุฅุฐุง
436
+
437
+ 110
438
+ 00:10:25,870 --> 00:10:28,230
439
+ ู‡ูŠ ู…ุญุตูˆุฑุฉ ุจูŠู† ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ู„ูƒู†
440
+
441
+ 111
442
+ 00:10:28,230 --> 00:10:31,250
443
+ exact answer ุจูŠู‚ุฏุฑุด ุชุทู„ุนู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุชุงุจุน ูŠุนู†ูŠ ู„ูˆ
444
+
445
+ 112
446
+ 00:10:31,250 --> 00:10:34,290
447
+ ุฃุชุทู„ุจ ู…ู†ูŠ ุฃุญุณุจ ุงู„ P value ูƒู„ ู…ุง ุจูƒุชุจู‡ ุฃู† ุงู„ P
448
+
449
+ 113
450
+ 00:10:34,290 --> 00:10:40,410
451
+ value between one percent and two percentุงู„ู„ูŠ ุจุนุฏู‡
452
+
453
+ 114
454
+ 00:10:40,410 --> 00:10:47,730
455
+ ุงู„ู€ 21 ุงู„ุงู†
456
+
457
+ 115
458
+ 00:10:47,730 --> 00:10:51,670
459
+ ุนู„ู‰ ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ู‚ุฑุงุฑ ุทู„ุน don't reject the zero
460
+
461
+ 116
462
+ 00:10:51,670 --> 00:10:58,630
463
+ ูุจูŠุณุฃู„ the decision made suggest thatadmission
464
+
465
+ 117
466
+ 00:10:58,630 --> 00:11:02,410
467
+ status at college is independent of the type of
468
+
469
+ 118
470
+ 00:11:02,410 --> 00:11:06,710
471
+ community in which an applicant resides ุงุชู†ูŠู†
472
+
473
+ 119
474
+ 00:11:06,710 --> 00:11:11,430
475
+ ู…ุณุชู‚ู„ูŠู† ุนู† ุจุนุถ ุตุญ ูˆู„ุง ู…ุด ุตุญ ุงุญู†ุง we don't reject
476
+
477
+ 120
478
+ 00:11:11,430 --> 00:11:17,650
479
+ ุงู„ zero ู…ุนู†ุงู‡ don't reject ูŠุนู†ูŠ ุงู„ zero is okay H0
480
+
481
+ 121
482
+ 00:11:17,650 --> 00:11:20,250
483
+ states the two variables of interest are
484
+
485
+ 122
486
+ 00:11:20,250 --> 00:11:24,630
487
+ independent ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู‚ุฑุงุฑ ู…ุงู„ู‡ ุงู„ suggestion
488
+
489
+ 123
490
+ 00:11:24,630 --> 00:11:29,580
491
+ ู‡ู†ุง ุงู† ุงุชู†ูŠู† independent ุงู„ูƒู„ุงู… ู‡ุฐุง ู…ุงู„ู‡true ู‡ุฐุง
492
+
493
+ 124
494
+ 00:11:29,580 --> 00:11:33,300
495
+ ุตุญูŠุญ ูˆุงุถุญ ู„ุฃู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠุญูƒูŠ they are
496
+
497
+ 125
498
+ 00:11:33,300 --> 00:11:38,840
499
+ independentุŒ isn't it trueุŸ
500
+
501
+ 126
502
+ 00:11:38,840 --> 00:11:47,840
503
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃูŠ ุณุคุงู„ุŒ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงู„ู€ 22 ุงู„ุงุฎุชุตุงุฑ
504
+
505
+ 127
506
+ 00:11:47,840 --> 00:11:52,980
507
+ ุงู„ู„ูŠ ู†ูุณู‡ ุณูŠูƒูˆู† ู…ุฌุฑุฏ ู‡ุฐุง ุงู„ุงุฎุชุตุงุฑ ุฅุฐุง ูƒุงู† ู…ุณุชูˆู‰
508
+
509
+ 128
510
+ 00:11:52,980 --> 00:12:01,840
511
+ ุงู„ู…ุนู†ู‰ 5 ุฃู„ูู„ูˆ ุฎุฏุช ุงู„ู€ Alpha 005
512
+
513
+ 129
514
+ 00:12:01,840 --> 00:12:10,040
515
+ ู†ุญู† ู„ุณู†ุง ู†ุฑูุถ ุนู„ู‰ ู…ุณุชูˆู‰ ู…ูŠุฒุงู†ูŠุฉ 1% ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ
516
+
517
+ 130
518
+ 00:12:10,040 --> 00:12:15,940
519
+ ู‡ู„ ู„ุง ุชุฑูุถ ุนู„ู‰ ุฃูŠ ู…ุณุชูˆู‰ ุฃู‚ู„ ู…ู† AlphaุŸ ุฅุฐุง ุฃู†ุง
520
+
521
+ 131
522
+ 00:12:15,940 --> 00:12:22,760
523
+ ู…ุฑูุถุด 1% ูŠุนู†ูŠ ุงู„ value ุชุจุนุชูŠ ุฃูƒุจุฑ ู…ู† 1% ู‡ู„ ู‡ุฐู‡ ู†ูุณ
524
+
525
+ 132
526
+ 00:12:22,760 --> 00:12:28,160
527
+ ุงู„ู‚ุฑุงุฑุฉ ุฅุฐุง Alpha ู‡ูˆ 005ุŸุฅุฐุง ุงู„ู‚ูŠู…ุฉ ุชุจุนุช ุงู„ู€ P
528
+
529
+ 133
530
+ 00:12:28,160 --> 00:12:33,100
531
+ value ุฃูƒุจุฑ ู…ู† 1 ู…ู† 100 ู‡ู„ ู‡ูŠ ู…ุง ุฒุงู„ุช ุฃูƒุจุฑ ู…ู† 5 ู…ู†
532
+
533
+ 134
534
+ 00:12:33,100 --> 00:12:39,840
535
+ 1000ุŸ ู…ุง ุฑุฃูŠูƒุŸ ุทูŠุจุŒ ุจู„ุงุด ุงู„ P value ุฃูƒุจุฑ ู…ู† .. ุงู„
536
+
537
+ 135
538
+ 00:12:39,840 --> 00:12:43,900
539
+ 1 ู…ู† 100 ูŠุนู†ูŠ 10 ู…ู† 1000ุŒ ู…ุธุจูˆุทุŸ ุงู„ 1 ู…ู† 100 ุณูˆุงุก
540
+
541
+ 136
542
+ 00:12:43,900 --> 00:12:48,260
543
+ 10 ู…ู† 1000ุŸ
544
+
545
+ 137
546
+ 00:12:48,260 --> 00:12:54,620
547
+ ู†ูุณ ุงู„ุดูŠุก ุฅุฐุง ุงู„ P value ุฃูƒุชุฑ ู…ู† 10 ู…ู† 1000ุงู„ู„ูŠ
548
+
549
+ 138
550
+ 00:12:54,620 --> 00:12:56,940
551
+ ุฃูƒุชุฑ ู…ู† ุฃุดู‡ุฑ ู…ู† ุฃู„ู ุฃูƒูŠุฏ ุฃูƒุชุฑ ู…ู† ุฎู…ุณุฉ ู…ู† ุฃู„ูุŒ
552
+
553
+ 139
554
+ 00:12:56,940 --> 00:13:06,500
555
+ ู…ุธุจูˆุทุŸ ุฃู‡ ุฃู‡ ุทูŠุจ ู…ุด ู…ุดูƒู„ุฉุŒ ุฅุฐุง ูˆุงุถุญ ุฃู† answer is
556
+
557
+ 140
558
+ 00:13:06,500 --> 00:13:11,000
559
+ okay ุทุจูŠุนูŠ ู„ูˆ ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ุชุงุจุนุชูŠ ุฃูƒุจุฑ ู…ู† ุนุดุฑุฉ ุฃูƒูŠุฏ
560
+
561
+ 141
562
+ 00:13:11,000 --> 00:13:14,340
563
+ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุชุญุตูŠู„ ุญุตู„ุŒ ู…ุณุชุญูŠู„ ุชูƒูˆู† ู†ุธุฑ ู…ู†ู‡ุง
564
+
565
+ 142
566
+ 00:13:14,340 --> 00:13:17,220
567
+ ูˆู„ุง ู„ุฃุŸ if and still we have the same decision, we
568
+
569
+ 143
570
+ 00:13:17,220 --> 00:13:21,820
571
+ don't reject another hypothesis okay next onethe
572
+
573
+ 144
574
+ 00:13:21,820 --> 00:13:25,460
575
+ same decision would be made with the test if the
576
+
577
+ 145
578
+ 00:13:25,460 --> 00:13:31,760
579
+ level is five percent ุงูŠุด ุฑุงูŠูƒูˆุงุŸ ู„ุฃู† ูƒุจุฑ Alpha
580
+
581
+ 146
582
+ 00:13:31,760 --> 00:13:34,940
583
+ ูƒุงู†ุช ูˆุงุญุฏ ู…ู† ู…ูŠุงู‡ ุฒุบุฑู‡ุง ุดูˆูŠุฉ ุงู„ุงู† ุจูŠุญูƒูŠ ู„ู‡ุง ูˆ
584
+
585
+ 147
586
+ 00:13:34,940 --> 00:13:39,740
587
+ ูƒุจุฑุชู‡ุง ุฎู„ุช ุฎู…ุณุฉ ุงู„ุงู† ู„ูˆ ูƒุงู†ุช ุจูŠุจู‚ู‰ ู„ู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
588
+
589
+ 148
590
+ 00:13:39,740 --> 00:13:45,860
591
+ ู‡ู„ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉุŸ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุจุงู„ุชุงู„ูŠ ู„ุฃ ุงุฐุง ุงู„
592
+
593
+ 149
594
+ 00:13:45,860 --> 00:13:48,600
595
+ decision ุฎุทุฃ is a default
596
+
597
+ 150
598
+ 00:13:51,350 --> 00:13:56,290
599
+ ุงู„ู€ 24 ุงู„ู€ null hypothesis ุงู„ู€ claims ุฏู‡ ุงู„ null
600
+
601
+ 151
602
+ 00:13:56,290 --> 00:13:59,850
603
+ ุจูŠุญูƒูŠ ุงู„ู‚ุงุนุฏุฉ there is no association between
604
+
605
+ 152
606
+ 00:13:59,850 --> 00:14:03,790
607
+ admission status and the college at the college
608
+
609
+ 153
610
+ 00:14:03,790 --> 00:14:06,010
611
+ and the type of community in which an applicant
612
+
613
+ 154
614
+ 00:14:06,010 --> 00:14:10,430
615
+ resides ุงู„ null hypothesis ุจูŠุญูƒูŠ two variables are
616
+
617
+ 155
618
+ 00:14:10,430 --> 00:14:14,810
619
+ independent ู…ุด ู‡ูŠูƒ ุงูŠุด ู…ุนู†ู‰ independent ู…ุนู†ุงู‡ no
620
+
621
+ 156
622
+ 00:14:14,810 --> 00:14:19,150
623
+ relationship between the two variablesุฃูˆ no
624
+
625
+ 157
626
+ 00:14:19,150 --> 00:14:22,010
627
+ association ุฅุฐุง ุจุญูƒูŠ ุฅู…ุง there is no relationship
628
+
629
+ 158
630
+ 00:14:22,010 --> 00:14:25,430
631
+ ุฃูˆ
632
+
633
+ 159
634
+ 00:14:25,430 --> 00:14:30,650
635
+ ุจุญูƒูŠ no association ู†ูุณ ุงู„ุดูŠุก ุฅุฐุง ุฅู…ุง ุจุญูƒูŠ no
636
+
637
+ 160
638
+ 00:14:30,650 --> 00:14:35,650
639
+ relationship ุฃูˆ ุฃูˆ no relationship ุฃูˆ are
640
+
641
+ 161
642
+ 00:14:35,650 --> 00:14:39,510
643
+ independent ุฃูˆ not related ูƒู„ู‡ุง ู†ูุณ ุงู„ู…ุนู†ู‰ ูู‡ูˆ
644
+
645
+ 162
646
+ 00:14:39,510 --> 00:14:44,570
647
+ ุจูŠุณุฃู„ ุฅู† ู‡ู… ุฃู…ู„ู‡ู… there is no ูƒู„ุงู… ุตุญูŠุญ ุฅุฐุง true
648
+
649
+ 163
650
+ 00:14:44,570 --> 00:14:46,530
651
+ ุฅุฐุง ู‡ุฐู‡ true
652
+
653
+ 164
654
+ 00:14:52,030 --> 00:15:03,930
655
+ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€
656
+
657
+ 165
658
+ 00:15:03,930 --> 00:15:07,170
659
+ H0
660
+
661
+ 166
662
+ 00:15:07,170 --> 00:15:14,870
663
+ ู‡ูˆ ุงู„ู€ H0
664
+
665
+ 167
666
+ 00:15:14,870 --> 00:15:18,130
667
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
668
+
669
+ 168
670
+ 00:15:18,130 --> 00:15:18,150
671
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
672
+
673
+ 169
674
+ 00:15:18,150 --> 00:15:18,450
675
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
676
+
677
+ 170
678
+ 00:15:18,450 --> 00:15:18,470
679
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
680
+
681
+ 171
682
+ 00:15:18,470 --> 00:15:18,570
683
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1
684
+
685
+ 172
686
+ 00:15:18,570 --> 00:15:20,850
687
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1ุฅุฐุง ุฏูŠ ู…ุนู†ุงู‡ุง ุฃูˆ they are
688
+
689
+ 173
690
+ 00:15:20,850 --> 00:15:29,630
691
+ related ู†ูุณ ุงู„ู…ุนู†ู‰ ูŠุนู†ูŠ not independent so
692
+
693
+ 174
694
+ 00:15:29,630 --> 00:15:32,610
695
+ all of these have the same meaning either
696
+
697
+ 175
698
+ 00:15:32,610 --> 00:15:36,970
699
+ dependent related not independent ูƒู„ู‡ ู†ูุณ ุงู„ู…ุนู†ู‰
700
+
701
+ 176
702
+ 00:15:36,970 --> 00:15:41,270
703
+ ู‡ูˆ ุจูŠุญูƒูŠ there is some connection ููŠ ุจุนุถ ุงู„ุงุฑุชุจุงุท
704
+
705
+ 177
706
+ 00:15:41,270 --> 00:15:43,150
707
+ ุฅุฐุง ุงู„ูƒู„ุงู… ูŠุนุด
708
+
709
+ 178
710
+ 00:15:49,400 --> 00:15:57,540
711
+ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู€ 26 The
712
+
713
+ 179
714
+ 00:15:57,540 --> 00:16:01,400
715
+ chi-square test of independence requires that the
716
+
717
+ 180
718
+ 00:16:01,400 --> 00:16:04,640
719
+ expected frequency in each cell is to be at least
720
+
721
+ 181
722
+ 00:16:04,640 --> 00:16:09,420
723
+ 5ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ู„ูƒุŒ ู‡ู†ุง two types of chi-square ูƒู…ุง
724
+
725
+ 182
726
+ 00:16:09,420 --> 00:16:13,240
727
+ ุฐูƒุฑุช ู…ู† ู‚ุจู„ test for the difference between two
728
+
729
+ 183
730
+ 00:16:13,240 --> 00:16:15,360
731
+ proportions and the assumption was if you remember
732
+
733
+ 184
734
+ 00:16:15,360 --> 00:16:20,080
735
+ the expected frequency should be at least five for
736
+
737
+ 185
738
+ 00:16:20,080 --> 00:16:23,740
739
+ chi-square tests for the difference between two
740
+
741
+ 186
742
+ 00:16:23,740 --> 00:16:27,260
743
+ proportions but when we are talking about chi
744
+
745
+ 187
746
+ 00:16:27,260 --> 00:16:29,940
747
+ -square tests of independence I mean we are
748
+
749
+ 188
750
+ 00:16:29,940 --> 00:16:33,920
751
+ testing more than two groups in this case the
752
+
753
+ 189
754
+ 00:16:33,920 --> 00:16:37,850
755
+ expected frequency should be at least oneู‡ูˆ ูŠุณุฃู„
756
+
757
+ 190
758
+ 00:16:37,850 --> 00:16:42,210
759
+ ุนู† ูƒุงูŠ ุฃุณูƒูˆุงุฑ ุงู„ุงู†ุฏุจู†ุฏู†ุฒุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5ุŒ
760
+
761
+ 191
762
+ 00:16:42,210 --> 00:16:47,190
763
+ ูู‡ุฐุง ู„ูŠุณ ุตุญูŠุญุŒ ุฅู†ู‡ ุฎุงุทุฆุŒ ุฎู„ุงุตุŒ ู…ูŠุฒุฑ ุงู„ุฃุชู†ูŠู†ุŒ ุงู„ุฌุฒุฑ
764
+
765
+ 192
766
+ 00:16:47,190 --> 00:16:49,910
767
+ ุงู„ุฃูˆู„ ุชุจุน ุงู„ู€ proportionsุŒ ุนู„ู‰ ุงู„ุฃู‚ู„ 5ุŒ ุงู„ุฌุฏูŠุฏุŒ
768
+
769
+ 193
770
+ 00:16:49,910 --> 00:16:59,610
771
+ ุนู„ู‰ ุงู„ุฃู‚ู„ 1ุŒ 27ุŒ ูƒุงูŠ ุฃุณูƒูˆุงุฑ ุงู„ุงู†ุฏุจู†ุฏู†ุฒ ูŠุชุทู„ุจ ุนู‚ู„
772
+
773
+ 194
774
+ 00:16:59,610 --> 00:17:02,890
775
+ ุงู„ุฅุชุตุงู„ ููŠ ูƒู„ ู…ูƒุงู† ุนู„ู‰ ุงู„ุฃู‚ู„ 1ุŒ ุงู„ู„ู‡ ุณุจุญุงู†ู‡ุŒ ู‡ุฐุง
776
+
777
+ 195
778
+ 00:17:02,890 --> 00:17:10,300
779
+ ุนูƒุณ ุงู„ูุชุฑุฉุฎู„ุงุตุŸ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุชู‚ุฑูŠุจุง ุณุคุงู„ ุงู„ุดุงู…ู„ุŒ
780
+
781
+ 196
782
+ 00:17:10,300 --> 00:17:14,240
783
+ ูƒู„ู‡ ุฃุฎุฏู†ุงู‡ุง ุจุณ ุจุชุงุน ู…ุง ุฃุญุณุจ ุงู„ู€chi-square
784
+
785
+ 197
786
+ 00:17:14,240 --> 00:17:17,320
787
+ ุงู„ุณุชุงุชูŠุณุชูŠูƒ ุฃู†ุง ู…ุงุญุณุจุชู‡ุงุด ู…ุงุฑูุนุช ุฃุฎุฏูƒ ุฃูƒูŠุฏ ู†ุญุณุจ
788
+
789
+ 198
790
+ 00:17:17,320 --> 00:17:26,260
791
+ ุงู„ู€chi-square ุงู„ุณุชุงุชูŠุณุชูŠูƒ ุฎู„ุงุตุŸ ุฃูŠ ุณุคุงู„ุŸ
792
+
793
+ 199
794
+ 00:17:26,260 --> 00:17:29,060
795
+ ุฅุฐุง .. ุฅูŠุด .. ููŠ ุนู†ุฏูƒุŸ
796
+
797
+ 200
798
+ 00:17:33,480 --> 00:17:39,720
799
+ ู†ุนู… ููŠ ุงู„ discussion ุฎุฏุชูˆุง ู„ุฃุณุฑู‡ุง ุฏูˆู„ุŸ ู‡ุฐุง ู„ุฃุŒ ููŠ
800
+
801
+ 201
802
+ 00:17:39,720 --> 00:17:45,140
803
+ ุบูŠุฑู‡ ู„ุฃุŒ ูŠุนู†ูŠ ุญุงู„ุฉ ูƒู„ ุงู„ู…ุณุงุฆู„ ุทูŠุจ ุงู„ุขู† ุจุฏูŠ ุฃุญูƒูŠ ูˆ
804
+
805
+ 202
806
+ 00:17:45,140 --> 00:17:50,080
807
+ ุฃุฎู„ูŠ ูƒู„ุงู… ู…ุณุฌู„ ูŠุนู†ูŠ ุฃุฎู„ูŠู‡ ู…ุตูˆุฑ ุจุงู„ู†ุณุจุฉ ู„ู„ ..
808
+
809
+ 203
810
+ 00:17:50,080 --> 00:17:58,960
811
+ ู„ุชูˆุฒูŠุน ุงู„ุฏุฑุฌุงุช ุงู„ุชูˆุฒูŠุน
812
+
813
+ 204
814
+ 00:17:58,960 --> 00:18:02,720
815
+ ุญุงุนู…ู„ู‡ ูƒุงู„ุชุงู„ูŠุŒ ุนู„ู‰ ุฃุณุงุณ ุฃู†ุง ู„ูˆ ู†ุณูŠุช ุฃู†ุช ุงู„ุฐุงูƒุฑูŠู†ูŠ
816
+
817
+ 205
818
+ 00:18:14,940 --> 00:18:19,560
819
+ ุฃู†ุง ููŠ ุงู„ุฃูˆู„ ุฌุงู„ ู…ูˆุฒุน ุงู„ุฏุฑุฌุงุช ุฏู‡ ุณูˆุงุก ูˆุงุญุฏ ุณุคุงู„
820
+
821
+ 206
822
+ 00:18:19,560 --> 00:18:23,660
823
+ ูˆุญูŠุฏ ูˆ ุฃุฎู„ุต ุงู„ semester ูƒู„ู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ุขู† ูˆ
824
+
825
+ 207
826
+ 00:18:23,660 --> 00:18:28,820
827
+ ุงู„ุณุคุงู„ ุฏู‡ ุนู„ูŠุง ุฏุฑุฌุชูŠู† ุงู„ู„ูŠ ุงู„ู„ูŠ ู‡ุชุฌุงูˆุจ ุฎู„ุงุต ุงุญู†ุง
828
+
829
+ 208
830
+ 00:18:28,820 --> 00:18:33,400
831
+ ุจุฏู†ุง ุงู„ุดุงุจุทุฉ ุชู„ุงุชุฉ ู…ุธุจูˆุท ุงู„ุณุคุงู„ ู‡ูŠูƒูˆู† ุบุฑูŠุจ ุดูˆูŠุฉ
832
+
833
+ 209
834
+ 00:18:36,380 --> 00:18:40,560
835
+ ู‡ูˆ ุจุณูŠุท ููŠ
836
+
837
+ 210
838
+ 00:18:40,560 --> 00:18:45,280
839
+ ูƒู„ ุดุจุทุฉ ู…ู† ุงู„ุดุจุงุช ุงู„ู„ูŠ ุงุญู†ุง ุดุฑุญู†ุงู‡ู… ูƒุงู† ุฏุงูŠู…ุง ููŠ
840
+
841
+ 211
842
+ 00:18:45,280 --> 00:18:52,380
843
+ ุดุบู„ุฉ ู…ูƒุชูˆุจุฉ ููŠ ุงู„ slides ุงุณู ุชุญูˆุฑูƒ ุงูŠุงู‡ุง ู‡ุฏ ุนู„ูŠู‡ุง
844
+
845
+ 212
846
+ 00:18:52,380 --> 00:18:54,420
847
+ ุฏุฑุฌุชูŠู† ุงูˆ ุญุทูŠูƒู‡ู… ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุงู‡ ูƒุงู…ู„ุงุช ูŠุนู†ูŠ ู„ุง
848
+
849
+ 213
850
+ 00:18:54,420 --> 00:18:59,180
851
+ ู…ุฌุณู…ุงุช ูˆู„ุง ุดูŠุก
852
+
853
+ 214
854
+ 00:18:59,180 --> 00:19:04,020
855
+ ุจุนุฏ ู…ุง ุฎู„ุตู†ุง .. ุฃู†ุง ุจุณุฃู„ ุงู„ุณุคุงู„ ู‡ุฐุง ุนุงุฏุฉ ู…ู…ูƒู†
856
+
857
+ 215
858
+ 00:19:04,020 --> 00:19:12,550
859
+ ุงุณุฃู„ู‡ุฏุงุฆู…ุง ููŠ ูƒู„ ุตูุญุฉ ููŠ ุงู„ slide ู…ูƒุชูˆุจ DCOVA ุจุณ
860
+
861
+ 216
862
+ 00:19:12,550 --> 00:19:16,290
863
+ ู…ุธุจูˆุท
864
+
865
+ 217
866
+ 00:19:16,290 --> 00:19:20,630
867
+ ุทุจุนุง
868
+
869
+ 218
870
+ 00:19:20,630 --> 00:19:30,510
871
+ ู‡ุฐู‡ ุงุฎุชุตุงุฑ ุฃุฑุจุน ูƒู„ู…ุงุช ุจุชุดู…ู„ ูƒู„ ุญุตุฉ ุฅูŠุด
872
+
873
+ 219
874
+ 00:19:30,510 --> 00:19:31,070
875
+ ุฑุฃูŠูƒูˆุงุŸ
876
+
877
+ 220
878
+ 00:19:41,060 --> 00:19:46,660
879
+ ุฃุฑุจุน ุฎู…ุณ ูƒู„ู…ุงุช ูƒู„ ูƒู„ู…ุฉ ุนู„ูŠู‡ุง ู†ุต ุฏุฑุฌุฉ ู‡ุงูŠ ู†ุต ู†ุต
880
+
881
+ 221
882
+ 00:19:46,660 --> 00:19:56,580
883
+ ุงู„ุฃูˆู„ู‰ distribution ุฎุทุฃ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ define
884
+
885
+ 222
886
+ 00:19:56,580 --> 00:20:02,300
887
+ ู‡ุงูŠ ูˆุงุญุฏุฉ ุตุญู‡ูŠูƒ ู„ุญุธุฉ ุฎู„ูŠู‡ุง ุจุชูƒู„ู… ุญุตุฉ ุงูŠ ู…ุซู„ุฉ ููŠ
888
+
889
+ 223
890
+ 00:20:02,300 --> 00:20:07,720
891
+ ุงู„ู„ุญุธุฉ ุนู…ุงู„ ุง define ููŠู‡ุง ูˆ ุจูŠุนุฑูู‡ุง define ุจุณ ุงุฐูƒุฑ
892
+
893
+ 224
894
+ 00:20:07,720 --> 00:20:11,500
895
+ ุงุณู…ู‡ุง ุนุดุงู† ู„ู…ุง ุงุญุท ุงู„ุฏุฑุฌุงุช ุงุนุทูŠูƒ ู†ุต ู…ุง ุงู†ุง ู…ุด ..
896
+
897
+ 225
898
+ 00:20:11,500 --> 00:20:20,100
899
+ ุจุณ ุงุญูƒูŠ ุงู„ C ู‡ุงูŠ ุฏูŠ ุงู„ I ุงู„ ุณู†ุฉ ูƒู„ู‡ุง ูƒุงู†ุช ู…ุชุฎู„ุตุฉ
900
+
901
+ 226
902
+ 00:20:20,100 --> 00:20:26,140
903
+ collect ุจุงู„ู„ู‡
904
+
905
+ 227
906
+ 00:20:26,140 --> 00:20:29,690
907
+ ูˆู„ุง ูˆุงุญุฏุฉ ุจุชูุชุญ ุงู„ุฌูˆุงู„ูŠุนู†ูŠ ุจุญุงุฌุฉ ุชุณุชุฎุฏู… ุงู„ุฌูˆุง ู„ุฃูŠ
908
+
909
+ 228
910
+ 00:20:29,690 --> 00:20:36,470
911
+ ุญุงุฌุฉ ุงู„ O organized variants .. variants ..
912
+
913
+ 229
914
+ 00:20:36,470 --> 00:20:37,770
915
+ variants .. variants .. variants .. variants ..
916
+
917
+ 230
918
+ 00:20:37,770 --> 00:20:39,850
919
+ variants .. variants .. variants .. variants ..
920
+
921
+ 231
922
+ 00:20:39,850 --> 00:20:40,550
923
+ variants .. variants .. variants .. variants ..
924
+
925
+ 232
926
+ 00:20:40,550 --> 00:20:41,870
927
+ variants .. variants .. variants .. variants ..
928
+
929
+ 233
930
+ 00:20:41,870 --> 00:20:42,670
931
+ variants .. variants .. variants .. variants ..
932
+
933
+ 234
934
+ 00:20:42,670 --> 00:20:42,750
935
+ variants .. variants .. variants .. variants ..
936
+
937
+ 235
938
+ 00:20:42,750 --> 00:20:42,790
939
+ variants .. variants .. variants .. variants ..
940
+
941
+ 236
942
+ 00:20:42,790 --> 00:20:42,850
943
+ variants .. variants .. variants .. variants ..
944
+
945
+ 237
946
+ 00:20:42,850 --> 00:20:43,250
947
+ variants .. variants .. variants .. variants ..
948
+
949
+ 238
950
+ 00:20:43,250 --> 00:20:49,890
951
+ variants ..
952
+
953
+ 239
954
+ 00:20:49,890 --> 00:20:52,950
955
+ variants ..
956
+
957
+ 240
958
+ 00:21:00,670 --> 00:21:07,990
959
+ analyzing ู„ุญุธุฉ ุฏูŠ ุงู„ู„ูŠ ุญุตู„ ุฎู…ุณ ูƒู„ู…ุงุช defineุŒ ุนุฑูุŒ
960
+
961
+ 241
962
+ 00:21:07,990 --> 00:21:09,950
963
+ collectุŒ ุฃุฌู…ุน ุจูŠุงู†ุงุชุŒ organizeุŒ ุฃู‚ูˆู„ ุฅูŠุด ู…ุนู†ุงู‡
964
+
965
+ 242
966
+ 00:21:09,950 --> 00:21:13,730
967
+ organizeุŒ ุชู†ุธูŠู…ุฉ ุญุทู‡ุง ููŠ tablesุŒ ุจุนุฏูŠู† visualizeุŒ
968
+
969
+ 243
970
+ 00:21:13,730 --> 00:21:21,570
971
+ ุจุจุฏุฃ ููŠ ุนู…ู„ูŠุฉ ุฅูŠุด ู…ุนู†ุงู‡ visualize ุฒูŠ
972
+
973
+ 244
974
+ 00:21:21,570 --> 00:21:27,280
975
+ ุฑุคูŠุฉ ู„ู„ู…ุซู„ุฉ analyzeุงู„ุชุญู„ูŠู„ ู‡ูŠ ุชู‚ุฑูŠุจุง ุงู„ุฃุญุณู† ู…ุดุงูƒู„
976
+
977
+ 245
978
+ 00:21:27,280 --> 00:21:33,680
979
+ ุงู„ุนุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงุฎุชุตุงุฑู‡ุง DCOV8 ู‡ุฐู‡ ูˆุงุญุฏุฉ ุนุงู„ู…ุงุดูŠ
980
+
981
+ 246
982
+ 00:21:33,680 --> 00:21:38,920
983
+ ู„ุฃู† ุงู„ course ู…ุงุฆุฉ ุฏุฑุฌุฉ ู…ุด ู‡ูŠูƒ ููŠู‡ุง attendance
984
+
985
+ 247
986
+ 00:21:38,920 --> 00:21:46,960
987
+ plus homework ู‡ุฐูˆ ุนุงู„ู… ุนุดุฑุฉ ู‡ุฐูˆ ุงู„ุนุดุฑุฉ ู‡ุงุฎุฏู‡ู… ู…ู†
988
+
989
+ 248
990
+ 00:21:46,960 --> 00:21:56,900
991
+ ู…ูŠู†ุŸ ู…ู† ุนู„ุงู…ุฉ ุงู„ุนุดุฑุฉ ู‡ุฐูˆู„ ู„ุฃู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠุงู„ุชุบูŠุจ
992
+
993
+ 249
994
+ 00:21:56,900 --> 00:22:03,160
995
+ ู‡ุฐุง ู‡ุชูƒูˆู† ุฎู…ุณุฉ ูˆุฎู…ุณุฉ ุฎู…ุณุฉ ุญุถูˆุฑ ูˆุฎู…ุณุฉ ูˆุงุฌุจุงุช ุงู„ุทุงู„ุจ
996
+
997
+ 250
998
+ 00:22:03,160 --> 00:22:07,380
999
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ู„ุนุฐุฑ ุจุณุจุจ ูŠุนู†ูŠ ุนู†ุฏู‡ ู…ุญุงุถุฑุฉ ููŠ ู†ูุณ ุงู„ูˆู‚ุช
1000
+
1001
+ 251
1002
+ 00:22:07,380 --> 00:22:13,420
1003
+ ุจู„ ุงู†ุง ู‡ุญูƒูŠ ู„ุงุณู…ู‡ ุงู„ู„ูŠ ุงุชุบูŠุจ ู‡ุนุทูŠู‡ ุงู„ุนุดุฑุฉ ุนู„ู‰
1004
+
1005
+ 252
1006
+ 00:22:13,420 --> 00:22:19,820
1007
+ ุงู„ูˆุงุฌุจุงุช ุจุณ ู‡ุชูƒูˆู† ุจุฑุง ุงู„ุญุถูˆุฑ ุงู„ midterm ุฃุฎุฏู†ุง
1008
+
1009
+ 253
1010
+ 00:22:19,820 --> 00:22:25,150
1011
+ ุงุชู†ูŠู† ู…ุดูŠุง๏ฟฝ๏ฟฝ ู‡ุฏูˆู„ ุงุชู†ูŠู† ุนู„ูŠู‡ู… ุงุฑุจุนูŠู†ุงู„ู„ูŠ ูƒุงู† ุงู„ุทุงู„ุจ
1012
+
1013
+ 254
1014
+ 00:22:25,150 --> 00:22:29,290
1015
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ุนู† ุงู„ .. ุงู„ู„ูŠ ุงุชุบูŠุจ ุนู† ุงู„ุฃูˆู„ ุฏู‡ ุญุณุจู„ู‡
1016
+
1017
+ 255
1018
+ 00:22:29,290 --> 00:22:34,830
1019
+ ุงู„ุชุงู†ูŠ ููŠ ุจู‚ู‰ ุฑุจุนูŠู† ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุงุชุบูŠุจ
1020
+
1021
+ 256
1022
+ 00:22:34,830 --> 00:22:39,730
1023
+ ุงู„ุฃูˆู„ ุงู„ุชุงู†ูŠ ููŠ ุงุชู†ูŠู† ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
1024
+
1025
+ 257
1026
+ 00:22:39,730 --> 00:22:46,690
1027
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ
1028
+
1029
+ 258
1030
+ 00:22:46,690 --> 00:22:47,950
1031
+ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ
1032
+
1033
+ 259
1034
+ 00:22:47,950 --> 00:22:48,910
1035
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
1036
+
1037
+ 260
1038
+ 00:22:48,910 --> 00:22:49,750
1039
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ
1040
+
1041
+ 261
1042
+ 00:22:49,750 --> 00:22:50,870
1043
+ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ
1044
+
1045
+ 262
1046
+ 00:22:50,870 --> 00:22:54,020
1047
+ ุงู„ู„ูŠ ุงุชุบูŠุฅุฐุง ุงู„ู„ูŠ ู…ุงู‚ุฏู…ุด ุงู„ุฃูˆู„ ุฃุญุณุจู„ู‡ ุงู„ุชุงู†ูŠ ู…ู†
1048
+
1049
+ 263
1050
+ 00:22:54,020 --> 00:22:57,260
1051
+ ุงู„ุงุฑุจุนูŠู† ุงู„ู„ูŠ ู…ุงู‚ุฏู…ุด ุงู„ุชุงู†ูŠ ุฃุญุทูˆู„ู‡ ุงู„ุฃุนุดุฑูŠู† ุนู„ู‰ ุงู„
1052
+
1053
+ 264
1054
+ 00:22:57,260 --> 00:23:03,240
1055
+ final ููŠ ูˆุงุญุฏุฉ ู…ุงู‚ุฏู…ุชุด ุญูƒุช ู…ุนุงู‡ ู…ุงุนุฑู
1056
+
1057
+ 265
1058
+ 00:23:03,240 --> 00:23:07,540
1059
+ ุงู„ุดูŠูƒุงุช ู…ุงุฑููƒ ู…ุฑู‡ ุฏู‡ ุงู„ุนู…ูˆู… ู‡ู†ู‚ุด ุจุงู„ุชุงู†ูŠ ุงู„
1060
+
1061
+ 266
1062
+ 00:23:07,540 --> 00:23:16,820
1063
+ quizzes ุนู„ูŠู‡ู… ุนุดุฑุฉ ู‡ุฏูˆู„ ุงู„ุฃุชู†ูŠู† ู‡ุนู…ู„ ุถุฑุจ for the
1064
+
1065
+ 267
1066
+ 00:23:16,820 --> 00:23:20,560
1067
+ lowest quiz ู‡ู†ุฒู„ ุฃู‚ู„ ุฏุฑุฌุฉ ููŠ ุงู„ quiz ูˆ ุฃุญุณุจ ุนู„ู‰
1068
+
1069
+ 268
1070
+ 00:23:20,560 --> 00:23:24,920
1071
+ ุงู„ุจุงู‚ูŠูุงู„ุทุงู„ุจ ุชุบูŠุจ ุนู† ุงู„ quiz ู‡ุดูŠู„ู‡ ูˆ ุฃุญุณู†ู‡ ุงู„ุจู‚ุฑุฉ
1072
+
1073
+ 269
1074
+ 00:23:24,920 --> 00:23:27,780
1075
+ ุฃูˆ ููŠ ุฏุฑุฌุฉ ู…ุชุฏุงู†ูŠุฉ ู‡ุดูŠู„ู‡ ูƒุฐู„ูƒ ุจุงู„ู†ุณุจุฉ ู„ู„ homework
1076
+
1077
+ 270
1078
+ 00:23:27,780 --> 00:23:36,440
1079
+ ุฅุฐุง ูƒู… ูˆุงุฌุจ ุฃุฎุฏู†ุงุŸ ุฎู…ุณุฉุŸ ุดูˆ
1080
+
1081
+ 271
1082
+ 00:23:36,440 --> 00:23:42,800
1083
+ ุงู„ุงุชู†ูŠู†ุŸ ุงู„ูˆุงุฌุจุงุชุŸ ู…ุง ุจุญูƒูŠ ุนู† ุงู„ูˆุงุฌุจุงุช ุงู„ูˆุงุฌุจุงุช
1084
+
1085
+ 272
1086
+ 00:23:42,800 --> 00:23:46,380
1087
+ ุฎู…ุณุฉ ุฃุญุณุจู„ูƒ ุฃุญุณู† ุฃุฑุจุนุฉ ุงู„ quizzes ุชู„ุงุชุฉ ุฃุญุณุจู„ูƒ
1088
+
1089
+ 273
1090
+ 00:23:46,380 --> 00:23:49,200
1091
+ ุฃุญุณู† ุงุชู†ูŠู† ุจุณ
1092
+
1093
+ 274
1094
+ 00:23:54,290 --> 00:23:59,510
1095
+ ูˆุงู„ู€ Final ุฃุฑุจุนูŠู† ู„ุฃู† ุงู„ู€ Final ุทุจุนุง comprehensive
1096
+
1097
+ 275
1098
+ 00:23:59,510 --> 00:24:07,430
1099
+ exam ุงู†ุชุญุงุฑ
1100
+
1101
+ 276
1102
+ 00:24:07,430 --> 00:24:13,870
1103
+ ุดุงู…ู„ ู„ูƒู† ู…ุน ุงู„ุชุฑูƒูŠุฒ ุนู„ู‰ last three chapters ูŠุนู†ูŠ
1104
+
1105
+ 277
1106
+ 00:24:13,870 --> 00:24:18,330
1107
+ ุฃูƒุชุฑ ุดูŠุก ู‡ูŠูƒูˆู† ุชุณุนุฉ ุฃูˆ ุนุดุฑ ุฃูˆ ุฃุญุฏ ุนุดุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1108
+
1109
+ 278
1110
+ 00:24:18,330 --> 00:24:22,010
1111
+ hypothesis testing ุฎู„ุงุต
1112
+
1113
+ 279
1114
+ 00:24:22,990 --> 00:24:30,370
1115
+ ูˆุทุจุนุง ุฃุญูŠุงู†ุง ุนู„ู‰ ุงู„ุฃู‚ู„ 70% ูˆุงู„ู€
1116
+
1117
+ 280
1118
+ 00:24:30,370 --> 00:24:39,990
1119
+ 30% ุจูŠูƒูˆู† ุนู„ู‰ 3 ูˆ6 ูˆ7 ุฎู„ุงุต
1120
+
1121
+ 281
1122
+ 00:24:39,990 --> 00:24:52,130
1123
+ ู…ู† ู†ู…ุท ุงู„ุงู…ุชุญุงู† ุชู„ุช ุดุบู„ุงุช ุงู„ู€ True False HMCQ
1124
+
1125
+ 282
1126
+ 00:24:53,760 --> 00:25:02,060
1127
+ ู‡ุฐู‡ ู…ุงู„ู‡ุงุด ุฏุฑุฌุงุช ู…ุงู„ู‡ุงุด ุฏุฑุฌุงุช ู‡ุฐู‡ ูˆ ุงู„ุณุคุงู„ ุงู„ุชุงู„ุช
1128
+
1129
+ 283
1130
+ 00:25:02,060 --> 00:25:07,980
1131
+ ุงุญู†ุง ุจู†ุณู…ูŠู‡ free response free
1132
+
1133
+ 284
1134
+ 00:25:07,980 --> 00:25:12,260
1135
+ response ูŠุนู†ูŠ ุงู„ุณุคุงู„ ุจุชุญู„ูŠู‡ ุฅุฌุงุจุงุชูŠ ู…ูุชูˆุญุฉ ูŠุนู†ูŠ
1136
+
1137
+ 285
1138
+ 00:25:12,260 --> 00:25:17,760
1139
+ ุงู„ุณุคุงู„ ุฒูŠ ุงุญุณุจูƒ I squared ุงุญุณุจูƒ ุจ value ูˆ ู‡ูŠูƒ ุฎู„ุงุต
1140
+
1141
+ 286
1142
+ 00:25:17,760 --> 00:25:20,360
1143
+ ูˆ ุงู„ูุงูŠู„ุฉ ุงู†ุง ู‡ุตุญู‡ ุงู† ุดุงุก ุงู„ู„ู‡
1144
+
1145
+ 287
1146
+ 00:25:26,080 --> 00:25:38,340
1147
+ ู†ุนู… ุงู„ู„ูŠ ุงู†ุง ุตูุงูŠู‡ ูˆุงุฑุจุนูŠู† ูˆ ูˆุงุญุฏุฉ ุดู‡ูŠุฉ ุญู…ุงู„ูƒ
1148
+
1149
+ 288
1150
+ 00:25:38,340 --> 00:25:43,100
1151
+ ุดูˆููŠู‡ ู‡ุฐุง ุญุชู‰ ู…ุง ุญูƒูŠุชู‡ุงุด ุนู†ุฏ ุงู„ุทู„ุงุจ ุญู…ุงู„ุฉ ูƒุงู„ุงุชูŠ
1152
+
1153
+ 289
1154
+ 00:25:43,100 --> 00:25:47,420
1155
+ ุนุดุงู† ุฎุงุทุฑูƒ ุจุณ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† ุฎู…ุณุชุงุด ูˆ ุงู„ู„ูŠ ุฃุนู„ู‰ ู…ู†
1156
+
1157
+ 290
1158
+ 00:25:47,420 --> 00:25:47,920
1159
+ ุงู„ุฎู…ุณ ุนุดุฑ
1160
+
1161
+ 291
1162
+ 00:25:50,910 --> 00:25:54,350
1163
+ ูŠุนู†ูŠ ุจุชุงุฎุฏ ุฏุฑุฌุชูŠู† ู…ุด ู…ู† ุนุดุฑูŠู† ุนุดุฑูŠู†ุŒ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†
1164
+
1165
+ 292
1166
+ 00:25:54,350 --> 00:25:57,270
1167
+ ุฎู…ุณุชุงุดุฑ ูˆ ุงู„ู„ูŠ ุฃุนู„ู‰ ู…ู† ุนุดุฑูŠู†ุŒ ู…ู† ุฎู…ุณุฉ ุนุดุฑูŠู†
1168
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/ZJBR7D3m4ek_postprocess.srt ADDED
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1
+ 1
2
+ 00:00:20,650 --> 00:00:27,090
3
+ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุงู„ test for two means last
4
+
5
+ 2
6
+ 00:00:27,090 --> 00:00:33,250
7
+ time we talked about one case when sigma one and
8
+
9
+ 3
10
+ 00:00:33,250 --> 00:00:36,470
11
+ sigma two are unknown but we assumed they are
12
+
13
+ 4
14
+ 00:00:36,470 --> 00:00:41,690
15
+ equal and if you remember we did one example for
16
+
17
+ 5
18
+ 00:00:41,690 --> 00:00:49,610
19
+ this case and we have this t statistic and we have
20
+
21
+ 6
22
+ 00:00:49,610 --> 00:00:53,680
23
+ a newุงู„ุฎุทูˆุงุช ุงู„ู„ูŠ ุชุณู…ูŠู‡ุง ุงู„ูˆุฒุฑุงุก ุงู„ูˆุฒุฑุงุก ุงูƒุชุฑ ุงูƒุชุฑ
24
+
25
+ 7
26
+ 00:00:53,680 --> 00:00:58,040
27
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
28
+
29
+ 8
30
+ 00:00:58,040 --> 00:00:58,060
31
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
32
+
33
+ 9
34
+ 00:00:58,060 --> 00:01:01,420
35
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
36
+
37
+ 10
38
+ 00:01:01,420 --> 00:01:01,540
39
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
40
+
41
+ 11
42
+ 00:01:01,540 --> 00:01:09,080
43
+ ุงูƒุชุฑ ุงูƒุชุฑ
44
+
45
+ 12
46
+ 00:01:19,720 --> 00:01:26,580
47
+ ุงู„ุตูŠุบู…ุงุช ู…ุฑุชุจุทุฉ ุงู„ุตูŠุบู…ุงุช
48
+
49
+ 13
50
+ 00:01:26,580 --> 00:01:32,420
51
+ ุบูŠุฑ ู…ุนุฑูˆูุฉ ู„ุงุฒู…
52
+
53
+ 14
54
+ 00:01:32,420 --> 00:01:37,520
55
+ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ู„ูŠ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
56
+
57
+ 15
58
+ 00:01:37,520 --> 00:01:37,860
59
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
60
+
61
+ 16
62
+ 00:01:37,860 --> 00:01:39,380
63
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
64
+
65
+ 17
66
+ 00:01:39,380 --> 00:01:49,300
67
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
68
+
69
+ 18
70
+ 00:01:49,300 --> 00:01:53,230
71
+ ู†ุงู„ุซุงู†ูŠ ู‡ูˆ ุงู„ุชุบูŠูŠุฑ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
72
+
73
+ 19
74
+ 00:01:53,230 --> 00:01:53,250
75
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
76
+
77
+ 20
78
+ 00:01:53,250 --> 00:01:55,090
79
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
80
+
81
+ 21
82
+ 00:01:55,090 --> 00:02:00,330
83
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
84
+
85
+ 22
86
+ 00:02:00,330 --> 00:02:00,370
87
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
88
+
89
+ 23
90
+ 00:02:00,370 --> 00:02:01,110
91
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
92
+
93
+ 24
94
+ 00:02:01,110 --> 00:02:03,210
95
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
96
+
97
+ 25
98
+ 00:02:03,210 --> 00:02:07,290
99
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ
100
+
101
+ 26
102
+ 00:02:07,290 --> 00:02:18,090
103
+ ุงู†
104
+
105
+ 27
106
+ 00:02:18,910 --> 00:02:23,370
107
+ ู‡ูˆ ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู‚ู…ู†ุงู‡ ู‚ุจู„ู‡ุง ู„ุฐู„ูƒ ู„ู‡ุฐุง ูู‚ุท ุฏูŠ ุงู
108
+
109
+ 28
110
+ 00:02:23,370 --> 00:02:31,130
111
+ ุงู‚ุตู‰ N1 ุจู„ุณ N2-2 ุงู„ุงู† ุชูŠุณุชุงุชูŠุณุชูŠูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
112
+
113
+ 29
114
+ 00:02:31,130 --> 00:02:35,510
115
+ ู…ุฎุชู„ูุฉ ู‚ู„ูŠู„ุง ู…ู† ุงู„ุณุงุจู‚ุฉ ุดูˆูŠุฉ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง
116
+
117
+ 30
118
+ 00:02:35,510 --> 00:02:40,770
119
+ ููŠ ุงู„ุฃูˆู„ ุฅุฐุง ุชุฐูƒุฑูŠ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ ู…ู† ุดูˆูŠุฉ ุงูŠู‡
120
+
121
+ 31
122
+ 00:02:40,770 --> 00:02:43,770
123
+ ุชูŠุณุชุงุชูŠุณุชูŠูƒ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุชุจู‚ู‰ ุงู„ูŠูˆู… ุฅุฐุง
124
+
125
+ 32
126
+ 00:02:43,770 --> 00:02:48,150
127
+ ูƒุงู† ุงู„ sigma's unknownูˆู„ูƒู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู„ูŠุณูˆุง
128
+
129
+ 33
130
+ 00:02:48,150 --> 00:02:53,310
131
+ ู…ุฑุชุจุทูŠู†ุŒ ูุณู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ูˆุตูุฉ
132
+
133
+ 34
134
+ 00:02:53,310 --> 00:03:03,490
135
+ ุงู„ุงุฎุชู„ุงู
136
+
137
+ 35
138
+ 00:03:03,490 --> 00:03:08,700
139
+ ุจุณ ุจุฏู„ ู…ู† ุฃุฎุฐ square root of square B1 over n1
140
+
141
+ 36
142
+ 00:03:08,700 --> 00:03:13,060
143
+ plus 1 over n2 ู†ุงุฎุฏ ูู‚ุท square root of s1 squared
144
+
145
+ 37
146
+ 00:03:13,060 --> 00:03:18,160
147
+ over n1 plus s2 squared over n2 ูˆ ุงู„ degrees of
148
+
149
+ 38
150
+ 00:03:18,160 --> 00:03:20,960
151
+ freedom ู†ุงุฎุฏู‡ุง approximately equal to n1 plus n2
152
+
153
+ 39
154
+ 00:03:20,960 --> 00:03:27,660
155
+ minus 2 and we have the same one tail and two tail
156
+
157
+ 40
158
+ 00:03:27,660 --> 00:03:33,020
159
+ test and let's do this the same example we did
160
+
161
+ 41
162
+ 00:03:33,020 --> 00:03:42,880
163
+ last timeุงู„ุฎุงุต ุจูƒ ุฃู†ูƒ ุงุฎุชู„ุงู
164
+
165
+ 42
166
+ 00:03:42,880 --> 00:03:45,440
167
+ ุจูŠู†ู‡ู… ูƒุงู„ุชุงู„ูŠ ุจูŠุญูƒูŠ ุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ุจูŠู† ุงู„ู‡ุฌูˆู…
168
+
169
+ 43
170
+ 00:03:45,440 --> 00:03:49,580
171
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ุจูŠู† ุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
172
+
173
+ 44
174
+ 00:03:49,580 --> 00:03:51,420
175
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
176
+
177
+ 45
178
+ 00:03:51,420 --> 00:03:51,680
179
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
180
+
181
+ 46
182
+ 00:03:51,680 --> 00:03:52,640
183
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
184
+
185
+ 47
186
+ 00:03:52,640 --> 00:03:54,960
187
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
188
+
189
+ 48
190
+ 00:03:54,960 --> 00:04:01,980
191
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
192
+
193
+ 49
194
+ 00:04:01,980 --> 00:04:05,510
195
+ ุงู„ุงู†example ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑ ุชุจุน ุงู„ูŠูˆู… ู‡ูŠ ู†ูุณ ุงู„
196
+
197
+ 50
198
+ 00:04:05,510 --> 00:04:09,850
199
+ example ุจุณ ู…ุฑุฉ ู‡ู†ุญู„ูˆู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑ ุญู„ู„ู†ุงู‡ุง ููŠ ุญุงู„ุฉ
200
+
201
+ 51
202
+ 00:04:09,850 --> 00:04:17,950
203
+ equal ู„ุญุธุฉ ู†ูุณู‡ ููŠ ุญุงู„ุฉ ุงู„ equal ู†ูุณ ุงู„ slide ู…ู‡ูŠ
204
+
205
+ 52
206
+ 00:04:17,950 --> 00:04:24,150
207
+ ู†ูุณ ุงู„ slide ุงู„ู…ุฑุฉ ู‡ุฐู‡ ููŠ ุญุงู„ุฉ ุงู„ unequal ู†ูุณ ุงู„
208
+
209
+ 53
210
+ 00:04:24,150 --> 00:04:27,350
211
+ example ู‡ู†ุญู„ูˆู‡ ู…ุฑุฉ ููŠ ุงู„ equal ุญู„ู„ู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑ
212
+
213
+ 54
214
+ 00:04:28,130 --> 00:04:31,750
215
+ ู‡ุชู„ุงุญุธู‰ ุงู„ conclusion ุงู„ู„ู‰ ู…ุฑุฉ ูุงุชุช ูƒุงู† ุนุจุงุฑุฉ ุนูŠุด
216
+
217
+ 55
218
+ 00:04:31,750 --> 00:04:35,830
219
+ reject ุงู„ zero ูˆุญูƒูŠู†ุง there is sufficient evidence
220
+
221
+ 56
222
+ 00:04:35,830 --> 00:04:39,330
223
+ of a difference in means ุงู„ู„ูŠ ู„ู…ุง ู†ุบูŠุฑ ูˆูŠุตูŠุฑ
224
+
225
+ 57
226
+ 00:04:39,330 --> 00:04:43,710
227
+ unequal variances ู…ู…ูƒู† ุงู„ูˆุถุน ูŠุฎุชู„ู ุชู…ุงู…ุง ุจุงุถุญ ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:04:43,710 --> 00:04:50,450
231
+ ู…ุด ุดุฑุท ูŠูƒูˆู† ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุฎู„ู‘ูŠู†ุง ู†ุดูˆู ู…ุน ุจุนุถ ูƒู„ ุญุงุฌุฉ
232
+
233
+ 59
234
+ 00:04:50,450 --> 00:04:54,450
235
+ ู…ู† ุงู„ู‚ุงุชู„ ุทุจุนุง ู‡ูˆ ู…ุด ู‡ูŠุนุทูŠูƒ ุงู„ุฅุฌุงุจุฉ ู‡ูŠุญู„ ุนู„ู‰ ุงู„
236
+
237
+ 60
238
+ 00:04:54,450 --> 00:05:03,350
239
+ Excel ู„ุญุธุฉ ููŠุด ู‡ู†ุง ุญู„ ูˆุงุถุญู†ุญู„ ุงุญู†ุง ู…ุน ุจุนุถ ุงุฐุง
240
+
241
+ 61
242
+ 00:05:03,350 --> 00:05:08,730
243
+ ู‡ุงูŠ T-stat equals
244
+
245
+ 62
246
+ 00:05:08,730 --> 00:05:19,450
247
+ ุจุงุฎุฏ ุงู„ data ุงู„ู„ูŠ ุดูู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑู‡ X1 bar 3
248
+
249
+ 63
250
+ 00:05:19,450 --> 00:05:23,710
251
+ .17 minus
252
+
253
+ 64
254
+ 00:05:23,710 --> 00:05:26,510
255
+ X2 bar 2.53
256
+
257
+ 65
258
+ 00:05:29,630 --> 00:05:33,430
259
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
260
+
261
+ 66
262
+ 00:05:33,430 --> 00:05:35,050
263
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
264
+
265
+ 67
266
+ 00:05:35,050 --> 00:05:35,590
267
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
268
+
269
+ 68
270
+ 00:05:35,590 --> 00:05:36,110
271
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
272
+
273
+ 69
274
+ 00:05:36,110 --> 00:05:40,630
275
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
276
+
277
+ 70
278
+ 00:05:40,630 --> 00:05:42,330
279
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
280
+
281
+ 71
282
+ 00:05:42,330 --> 00:05:47,150
283
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
284
+
285
+ 72
286
+ 00:05:47,150 --> 00:05:47,210
287
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
288
+
289
+ 73
290
+ 00:05:47,210 --> 00:05:58,390
291
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
292
+
293
+ 74
294
+ 00:05:59,450 --> 00:06:07,350
295
+ plus 1.16 squared divided by n2 ุงู„ุงู† ู„ูˆ ุญู„ูŠุชูŠ ู‡ุฐุง
296
+
297
+ 75
298
+ 00:06:07,350 --> 00:06:16,750
299
+ ู‡ูŠูƒ ุงูƒูŠุฏ ุงู„ุฌูˆุงุจ ู‡ูŠุทู„ุน ู…ุนุงูƒ 2.019 ุงุฐุง ู‡ูŠ ุงู„ุฌูˆุงุจ 2
300
+
301
+ 76
302
+ 00:06:16,750 --> 00:06:25,250
303
+ .019 ุฎู„ุงุต ุงุฐุง ุงู†ุง ุจุดุชุฑูŠ ุนู„ู‰ T statistic ู„ุฌุฏูŠุฏ
304
+
305
+ 77
306
+ 00:06:26,790 --> 00:06:32,990
307
+ ุชุณุงุช ุชุณุงูˆูŠ 2.019 ุช
308
+
309
+ 78
310
+ 00:06:32,990 --> 00:06:40,510
311
+ ุงู„ู ุงูˆูุฑ ุงุชูˆ ู†ูุณ ุงู„ู‚ุตุฉ ู„ุงุฒู… ุงุทู„ุนู‡ุง ุงู„ุงู„ูุฉ
312
+
313
+ 79
314
+ 00:06:40,510 --> 00:06:45,030
315
+ ูƒุงู†ุช 5% ูุงู„ู
316
+
317
+ 80
318
+ 00:06:45,030 --> 00:06:51,550
319
+ ุงูˆูุฑ ุงุชูˆ ู‡ูˆ 0.25 ู„ุงุฒู… ุงุทู„ุนู‡ุง ู…ู† ุงู„ table ูˆู†ุนุชุจุฑ ุงู„
320
+
321
+ 81
322
+ 00:06:51,550 --> 00:06:55,070
323
+ degree of freedom is approximately N1
324
+
325
+ 82
326
+ 00:06:56,760 --> 00:07:04,180
327
+ plus n 2 minus 2 44 ุชุฐูƒุฑ ุฃู†ู†ุง ุญู„ู†ุง ุนู„ู‰ 44 ุนู„ู‰
328
+
329
+ 83
330
+ 00:07:04,180 --> 00:07:09,100
331
+ ุงู„ุชุงุจุน ู„ู… ูŠูƒู† 44 ู…ูˆุฌูˆุฏ ุฃุฎุฏู†ุง approximate one the
332
+
333
+ 84
334
+ 00:07:09,100 --> 00:07:16,180
335
+ closest one was 40 ูุทู„ู†ุงู‡ุง ุนู†ุฏ ุงู„ุฃุฑุจุนูŠู† ูˆู‡ูŠ ุฌุฏูˆู„
336
+
337
+ 85
338
+ 00:07:16,180 --> 00:07:23,160
339
+ ุงู„ T-test ุฃู†ุง ุจุชุฏูˆุฑ ุนู„ู‰ ุงู„ุฃุฑุจุนูŠู† ู…ุงุก zero to five
340
+
341
+ 86
342
+ 00:07:26,420 --> 00:07:32,240
343
+ 2.0212.0212
344
+
345
+ 87
346
+ 00:07:32,240 --> 00:07:38,540
347
+ .0212
348
+
349
+ 88
350
+ 00:07:38,540 --> 00:07:48,720
351
+ .0212.0212.0212.0212.0212.0202.0202.0202.0202.0202
352
+
353
+ 89
354
+ 00:07:48,720 --> 00:07:51,340
355
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
356
+
357
+ 90
358
+ 00:07:51,340 --> 00:07:52,280
359
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
360
+
361
+ 91
362
+ 00:07:52,280 --> 00:07:52,300
363
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
364
+
365
+ 92
366
+ 00:07:52,300 --> 00:07:56,180
367
+ .0202.0202.020
368
+
369
+ 93
370
+ 00:08:01,890 --> 00:08:07,930
371
+ ุงู„ุชุงู†ูŠุฉ ู†ูŠุฌุงุชูŠุจ ุงู„ุชุณุชุงุชูŠุด
372
+
373
+ 94
374
+ 00:08:07,930 --> 00:08:12,350
375
+ 2.019
376
+
377
+ 95
378
+ 00:08:12,350 --> 00:08:16,410
379
+ ู…ุงุฐุง
380
+
381
+ 96
382
+ 00:08:16,410 --> 00:08:18,870
383
+ ูŠุนู†ูŠ 2.019
384
+
385
+ 97
386
+ 00:08:24,650 --> 00:08:27,390
387
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
388
+
389
+ 98
390
+ 00:08:27,390 --> 00:08:37,910
391
+ ุชุณู…ู‰ ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ู„ุญุธุฉ
392
+
393
+ 99
394
+ 00:08:37,910 --> 00:08:44,650
395
+ 2.019 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุฅุฐุงู‹
396
+
397
+ 100
398
+ 00:08:44,650 --> 00:08:47,910
399
+ ู†ุญู† ู„ุง ู†ุชูุฑุฌ ู…ู† ุงู„hypothesis .. ุฃุนู†ูŠ ู†ุญู† ู†ูุฑุฌ ู…ู†
400
+
401
+ 101
402
+ 00:08:47,910 --> 00:08:54,190
403
+ ุงู„hypothesis ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ ุฃุฏู„ุฉ
404
+
405
+ 102
406
+ 00:08:54,190 --> 00:09:02,950
407
+ ูƒุงููŠุฉ ุชุฏุนูŠ ุฃู† ู‡ู†ุงูƒ ูุฑู‚ ููŠ ุงู„ู…ุชูˆุงุตู„ ุฅุฐุงู‹
408
+
409
+ 103
410
+ 00:09:02,950 --> 00:09:04,770
411
+ ุงู„ conclusion is that we failed to reject the zero
412
+
413
+ 104
414
+ 00:09:04,770 --> 00:09:07,670
415
+ ู…ุน ูƒุฏู‡ ู‡ู†ุงูƒ ุฃุฏู„ุฉ ูƒุงููŠุฉ ุชุฏุนูŠ ุฃู† ู‡ู†ุงูƒ ูุฑู‚ ููŠ
416
+
417
+ 105
418
+ 00:09:07,670 --> 00:09:08,050
419
+ ุงู„ู…ุชูˆุงุตู„
420
+
421
+ 106
422
+ 00:09:11,970 --> 00:09:17,810
423
+ ู…ุน ู‚ุฑุงุฑุงุช ู…ุฎุชู„ูุฉ ู„ูƒู„ุง ุงู„ุญุงู„ุงุช ุงู„ู…ุงุถูŠุฉ ุนู†ุฏู…ุง ู‚ุฑุฑ
424
+
425
+ 107
426
+ 00:09:17,810 --> 00:09:20,890
427
+ ุดุฎุตูŠุฉ ุณูŠุฌู…ุง 1 ูŠู‚ู„ ู„ุณูŠุฌู…ุง 2 ูƒุงู†ุช ู‚ุฑุงุฑุฉ ุงู„ุงู†ุชู‚ุงู„
428
+
429
+ 108
430
+ 00:09:20,890 --> 00:09:28,650
431
+ ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช
432
+
433
+ 109
434
+ 00:09:28,650 --> 00:09:38,510
435
+ ู†ู‚ู„ุช
436
+
437
+ 110
438
+ 00:09:39,540 --> 00:09:47,200
439
+ ุญุณุจ T ุงู„ statistic ู…ุน ุงู„ critical value ุฎู„ุงุตุŸ
440
+
441
+ 111
442
+ 00:09:47,200 --> 00:09:52,240
443
+ ููŠ ุงูŠ ุณุคุงู„ุŸ ู†ูุณ ุงู„ exam ุจุชุงุนูŠ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช
444
+
445
+ 112
446
+ 00:09:52,240 --> 00:09:57,060
447
+ ุงู„ุงุฎุชู„ุงู ูู‚ุท ู„ู…ุง ุญุณุจู†ุง T ุงู„ statistic ูˆ ุฏู‡ ุงู„ุณุคุงู„
448
+
449
+ 113
450
+ 00:09:57,060 --> 00:10:03,160
451
+ ุงู„ู„ูŠ ุงู†ุช ูˆู‚ุนุช ู…ุนุงู‡ ู…ุธู‡ุฑุŸ ููŠ ุงูŠ ุณุคุงู„ุŸ ุงู†ุช ุจุชุญูƒูˆุง ู…ุน
452
+
453
+ 114
454
+ 00:10:03,160 --> 00:10:08,520
455
+ ุจุนุถ ุงุญูƒูˆุง ู…ุนุงูŠุง ุงูุถู„ ู„ูƒ ููŠ ุงูŠ ุณุคุงู„ุŸ ู…ุงุดูŠ ุงู„ู†ู‚ุทุฉ
456
+
457
+ 115
458
+ 00:10:08,520 --> 00:10:12,990
459
+ ุงู„ุจุนุฏุฉุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ุญุชู‰ ุงู„ุขู†ุŒ ุชุชุฐูƒุฑ ู…ุฑุฉ ูุงุช ุญูƒูŠู†ุง ููŠ
460
+
461
+ 116
462
+ 00:10:12,990 --> 00:10:18,130
463
+ ุนู†ุฏูŠ chapter 10ุŸ ููŠู‡ test ู„ู„ means ูˆ test ู„ู„
464
+
465
+ 117
466
+ 00:10:18,130 --> 00:10:21,390
467
+ proportionsุŒ ุจุฏุฃู†ุง ุจุงู„ means ูˆู‚ู„ู†ุง ุงู„ means ููŠ
468
+
469
+ 118
470
+ 00:10:21,390 --> 00:10:26,330
471
+ ุญุงู„ุชูŠู†ุŒ independent ูˆ related ููŠ ุงู„ independent
472
+
473
+ 119
474
+ 00:10:26,330 --> 00:10:30,130
475
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ููŠู‡ ุญุงู„ุชูŠู† ุงู„ variances are equal ูˆ not
476
+
477
+ 120
478
+ 00:10:30,130 --> 00:10:34,830
479
+ equal ูˆ ุฏู‡ ุฎู„ุตู†ุงู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุจุงุนุฏุฉ ุงู„ related
480
+
481
+ 121
482
+ 00:10:34,830 --> 00:10:39,340
483
+ populations ุงู„ู„ูŠ ู‡ูŠ ุงู„ pair difference testุจูŠุนุทูŠูƒ
484
+
485
+ 122
486
+ 00:10:39,340 --> 00:10:41,480
487
+ ู…ู‚ุฏู…ุฉ ุจุงู„ุนุฑุจูŠุฉ ุนู„ูŠู‡ุง ุนุดุงู† ุชุณุชูˆุนุจ ุงูŠุด ุงู„ู„ูŠ ุงุญู†ุง
488
+
489
+ 123
490
+ 00:10:41,480 --> 00:10:49,440
491
+ ุนุงูŠุฒูŠู†ู‡ ุงู„ู„ูŠ ู‡ูˆู† ู†ูุชุฑุถ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ููŠู‡ ุนู†ุฏู‡ุง ุนุฏุฏ ู…ู†
492
+
493
+ 124
494
+ 00:10:49,440 --> 00:10:54,220
495
+ ุงู„ู…ูˆุธููŠู† ูˆุงู„ู…ูˆุธููŠู† ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ complaints ุดูƒุงูˆูŠ ู…ู†
496
+
497
+ 125
498
+ 00:10:54,220 --> 00:10:59,120
499
+ ุงู„ุฒุจุงู‚ ูˆู†ูุชุฑุถ
500
+
501
+ 126
502
+ 00:10:59,120 --> 00:11:03,220
503
+ ูˆุฑุฏ ู„ู„ุดุฑูƒุฉ ุนุฏุฉ ุดูƒุงูˆูŠ ู…ู† ุฒุจูˆู† ู…ุญู…ุฏ ู†ูุชุฑุถ ู„ู„ุงุณู
504
+
505
+ 127
506
+ 00:11:03,220 --> 00:11:07,880
507
+ ุงู„ู…ูˆุธู ู…ุญู…ุฏ ู†ูุชุฑุถ ุนู„ูŠู‡ ุนุดุฑูŠู† ุดูƒูˆุงู…ุญู…ูˆุฏ ุนู„ูŠ
508
+
509
+ 128
510
+ 00:11:07,880 --> 00:11:11,760
511
+ ุฎู…ุณุชุงุดุฑุŒ ุฃุญู…ุฏ ุนู„ูŠ ุชู„ุงุชุชุงุดุฑ ูˆ ู‡ูƒุฐุง ูˆ ู†ูุณู‡ุง ุงู„ู…ุฏูŠุฑ
512
+
513
+ 129
514
+ 00:11:11,760 --> 00:11:17,100
515
+ ุงู„ุดุฑูƒุฉ ุนุงูŠุฒ ูŠุญุณู† ู…ู† ู…ุณุชูˆู‰ ุนู„ุงู‚ุฉ ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡
516
+
517
+ 130
518
+ 00:11:17,100 --> 00:11:20,960
519
+ ู…ุน ุงู„ุฒุจุงูŠู† ูุนุทูˆู‡ู… ุฏูˆุฑุฉ ุชุฏุฑูŠุจูŠุฉ ูƒูŠู ุชุชุนุงู…ู„ ู…ุน
520
+
521
+ 131
522
+ 00:11:20,960 --> 00:11:28,100
523
+ ุงู„ุฒุจุงูŠู† ูˆ ุจุนุฏ ู…ุง ุฎู„ุตุช ุงู„ุฏูˆุฑุฉุงู„ุชู„ู‚ู‰ ุงู„ุดูƒุงูˆูŠ ูˆุนุงูŠุฒ
524
+
525
+ 132
526
+ 00:11:28,100 --> 00:11:31,940
527
+ ูŠุดูˆู ู‡ู„ ุงู„ุฏูˆุฑุฉ ุงู„ู„ู‰ ุฃุฎุฏูˆู‡ุง ุงู„ู…ูˆุธููŠู† ุงู„ู„ู‰ ุนู†ุฏู‡ ูƒุงู†ุช
528
+
529
+ 133
530
+ 00:11:31,940 --> 00:11:38,000
531
+ ู…ุงู„ู‡ุง ู…ููŠุฏุฉุŒ ูƒุงู†ุช ูุนุงู„ุฉุŒ ู…ุนู†ู‰ ูุนุงู„ุฉ ูŠุนู†ูŠ ุนุฏุฏ ุงู„ ..
532
+
533
+ 134
534
+ 00:11:38,000 --> 00:11:43,500
535
+ ุงู„ compliance ู…ุงู„ู‡ ุจุฏูŠ ู‚ู„ุŒ ู…ุด ู‡ูŠูƒุŸ ู„ุญุธุฉ ุงุญู†ุง
536
+
537
+ 135
538
+ 00:11:43,500 --> 00:11:47,040
539
+ ุจู†ุชูƒู„ู… ุนู† ู†ูุณ ุงู„ู…ุฌู…ูˆุนุฉุŒ ู†ูุณ ุงู„ู…ูˆุธููŠู† ุฃุฎุฏู†ุง
540
+
541
+ 136
542
+ 00:11:47,040 --> 00:11:51,680
543
+ compliance ุนู„ูŠู‡ู… ู‚ุจู„ ุงู„ุฏูˆุฑุฉ ูˆ ุจุนุฏ ุงู„ุฏูˆุฑุฉ ู‡ุฐุง ู…ุง
544
+
545
+ 137
546
+ 00:11:51,680 --> 00:11:54,700
547
+ ูŠู‚ูˆู„ูˆุง ุงู„ู„ู‰ ุจู†ุณู…ูŠู‡ู… related populationsุฅุฐุง ุจูƒูˆู†
548
+
549
+ 138
550
+ 00:11:54,700 --> 00:11:58,900
551
+ ุนู†ุฏู‰ one group ุจุนุฏ ูƒุฏู‡ ุจุชุชูƒู„ู… ุนู† ุงู„ related
552
+
553
+ 139
554
+ 00:11:58,900 --> 00:12:04,440
555
+ populations ูŠุนู†ูŠ ุจุนู…ู„ intervention ุชุฏุฎู„ ู…ุนูŠู† ูุจูƒูˆู†
556
+
557
+ 140
558
+ 00:12:04,440 --> 00:12:08,800
559
+ ุนู†ุฏู‰ measurements before ุงู„ treatment ุฃูˆ ุงู„
560
+
561
+ 141
562
+ 00:12:08,800 --> 00:12:12,620
563
+ intervention ูˆููŠ measurements after ุงู„ treatment
564
+
565
+ 142
566
+ 00:12:12,620 --> 00:12:18,480
567
+ ู‡ุงูŠ ุจูŠุณู…ูŠู‡ุง before and after ู‚ุจู„ ูˆ ุจุนุฏ ุฃูˆ ู…ุซุงู„
568
+
569
+ 143
570
+ 00:12:18,480 --> 00:12:24,820
571
+ ุชุงู†ูŠ ุฃูŠู‡ ู„ูŠุด ุจุชุถุญูƒุŸ ุฃูŠุด ุงู„ู„ูŠ ุจุฏุญูƒุŸู…ู…ูƒู† ู†ุถุญูƒ ู…ุน ุจุนุถ
572
+
573
+ 144
574
+ 00:12:24,820 --> 00:12:30,640
575
+ ูˆ ู†ุทู†ุด ุงู„ู…ุญุงุถุฑุฉ ุฎุงู„ุต ุฅุฐุง ููŠ ุฅุดูŠ ุจุถุญูƒ ุฃู†ุง ู…ู…ูƒู†
576
+
577
+ 145
578
+ 00:12:30,640 --> 00:12:36,560
579
+ ุฃุชูˆู‚ู ูˆ ู†ุถุญูƒ ูˆ ู†ุญูƒูŠ ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ ูˆ ุจุนุฏูŠู† ู†ูƒู…ู„ ุทูŠุจ
580
+
581
+ 146
582
+ 00:12:36,560 --> 00:12:42,520
583
+ ุฃุนุทูŠู†ูŠ example ุชุงู†ูŠ ู„ู„ .. ู„ู„ related populations
584
+
585
+ 147
586
+ 00:12:44,170 --> 00:12:47,330
587
+ ุฃุชูƒู„ู… ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุนู† ุงู„ุฃู„ุงุช ู…ุซู„ุง ู„ู…ุง ุจุฏุฃุช ุชุดูˆูู‡ุง
588
+
589
+ 148
590
+ 00:12:47,330 --> 00:12:52,230
591
+ ุงู„ุฅู†ุชุงุฌูŠุฉ ู‚ุจู„ ู…ุง ุฃุนู…ู„ ุชู‚ู†ูŠุงุช ุฌุฏูŠุฏุฉ ุจุงู„ุขู„ุฉ ูˆ ุจุนุฏุŸ
592
+
593
+ 149
594
+ 00:12:52,230 --> 00:12:54,410
595
+ ู…ู…ุชุงุฒุฉ ูŠุนู†ูŠ ู†ูุทุฑุฉ ุนู†ุฏู‡ุง ุขู„ุงุช ู‚ุฏูŠู…ุฉ ุจุชู†ุชุฌ ู…ุซู„ุง
596
+
597
+ 150
598
+ 00:12:54,410 --> 00:13:00,330
599
+ ู…ุญุตูˆู„ ู…ุนูŠู† ู…ุซู„ุง ุนุตุฑ ุงู„ุฒูŠุชูˆู† ูˆ ุงุณุชุฎุฏู…ุช ู…ูƒูŠู†ุงุช ู‚ุฏูŠู…ุฉ
600
+
601
+ 151
602
+ 00:13:00,330 --> 00:13:03,390
603
+ ุฅุฐุง ู†ูุทุฑุฉ ุฏู„ ุงู„ู…ุตู†ุน ุฌุงุจ ู…ูƒูŠู†ุงุช ุฌุฏูŠุฏุฉ ูˆ ุนุงูŠุฒ ุชุดูˆู
604
+
605
+ 152
606
+ 00:13:03,390 --> 00:13:06,850
607
+ ู‡ู„ ุงู„ู…ูƒูŠู†ุงุช ุงู„ุฌุฏูŠุฏุฉ ุฃุนุทุช ู…ุชูˆุณุท ุฅู†ุชุงุฌ ุฃูุถู„ ูˆู„ุง ู„ุง
608
+
609
+ 153
610
+ 00:13:06,850 --> 00:13:12,320
611
+ ุฃูˆ ุนู„ู‰ ุงู„ scores ู†ูุทุฑุฉ ุงู„ุทุงู„ุจ ุฃุฎุฏ ุงู…ุชุญุงู† ู…ุนูŠู†ูˆ
612
+
613
+ 154
614
+ 00:13:12,320 --> 00:13:15,840
615
+ ุฃุฎุฏุช ุฏุฑุฌุฉ ู…ุนูŠู†ุฉุŒ ู†ูุทุช ู„ 40 ุทุงู„ุจุŒ ุจุนุฏูŠู† ุบูŠุฑู†ุง
616
+
617
+ 155
618
+ 00:13:15,840 --> 00:13:18,040
619
+ ุงู„ุงุณู„ูˆุจุŒ ุตุงุฑ ุงู„ุทุงู„ุจ ุจูŠุงุฎุฏ ุงู„ quizzes, homework,
620
+
621
+ 156
622
+ 00:13:18,360 --> 00:13:22,060
623
+ assignments ูˆ ูƒุฐุง ูˆ ุนุงุฏูŠ ุฃุดูˆู ุงู„ุงุณู„ูˆุจ ุงู„ุฌุฏูŠุฏุŒ ุงู„
624
+
625
+ 157
626
+ 00:13:22,060 --> 00:13:24,980
627
+ new technique ุฃูˆ new teaching method ุฅูŠู‡ ุงู„ู„ูŠ ูƒุงู†
628
+
629
+ 158
630
+ 00:13:24,980 --> 00:13:31,220
631
+ improvement ุนู„ู‰ ุงู„ scores ูˆู„ุง ู„ุฃุŒ ุจุชุงู… ุณู†ุฉ before
632
+
633
+ 159
634
+ 00:13:31,220 --> 00:13:35,860
635
+ and afterูˆุงุถุญ ู‡ุฐุง ุงู„ู…ูู‡ูˆู… ุงู„ related ุงู„
636
+
637
+ 160
638
+ 00:13:35,860 --> 00:13:38,540
639
+ independent ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ูƒุงู† ุนุจุงุฑุฉ ุนู† two
640
+
641
+ 161
642
+ 00:13:38,540 --> 00:13:41,880
643
+ groups before .. ู…ุงูƒุงู†ุด before ูˆ after ูƒุงู†
644
+
645
+ 162
646
+ 00:13:41,880 --> 00:13:45,400
647
+ ู…ุฌู…ูˆุนุชูŠู‡ุง ู…ุซู„ุง ู…ุฌู…ูˆุนุฉ ุงู„ stacks ุชุจุน ู†ูŠุณ ูˆ ุงู„ stack
648
+
649
+ 163
650
+ 00:13:45,400 --> 00:13:49,040
651
+ ุจุชุงุนุฉ ู†ุงุณุชุงูƒุŒ ุงุชู†ูŠู† ู…ุฎุชู„ูุงุช ุฃูˆ ุจุฏู‡ ุงู‚ุงุฑู† ุจุฑู†ุงู…ุฌุงุช
652
+
653
+ 164
654
+ 00:13:49,040 --> 00:13:52,440
655
+ ุทู„ุงุจ ูˆ ุทุงู„ุจุงุช males and femalesุŒ ูˆุงุถุญุŸ ูููŠ ุนู†ุฏูŠ
656
+
657
+ 165
658
+ 00:13:52,440 --> 00:13:55,360
659
+ ู…ุฌู…ูˆุนุชูŠู†ุŒ ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู…ุฌู…ูˆุนุชูŠู† ู…ุน ูƒุฏู‡ ู…ุฌู…ูˆุนุฉ
660
+
661
+ 166
662
+ 00:13:55,360 --> 00:13:58,060
663
+ ุงู„ุฃูˆู„ู‰ ู…ุงุจุชุฃุซุฑุด ุนู„ู‰ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุชุงู†ูŠุฉุŒ ู„ูƒู† ู‡ู†ุงูƒ
664
+
665
+ 167
666
+ 00:13:58,060 --> 00:14:02,980
667
+ ู…ุงูŠูƒูˆู†ุด ูู‚ุท ู…ุฌู…ูˆุนุฉ ูˆุงุญุฏุฉุŒ ุฎู„ุงุตุŸ ูˆุงุถุญุŒ ู†ุญูƒูŠ ุนู„ูŠู‡ุงุŸ
668
+
669
+ 168
670
+ 00:14:22,130 --> 00:14:34,650
671
+ ุฅุฐุง related populations ุจู†ุณู…ูŠู‡ุง
672
+
673
+ 169
674
+ 00:14:34,650 --> 00:14:44,110
675
+ ุงู„ beard difference test ุงู„ beard difference
676
+
677
+ 170
678
+ 00:14:44,110 --> 00:14:47,590
679
+ test
680
+
681
+ 171
682
+ 00:14:50,900 --> 00:14:54,820
683
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ูˆุถุน ู†ุญู† ู†ุฌุฑุจ ู…ุตุงุฏุฑ ุงุฒูˆุงุฌ ู…ุชู‚ุงุจู„ุฉ ู…ู†
684
+
685
+ 172
686
+ 00:14:54,820 --> 00:15:02,620
687
+ ุงุซู†ูŠู† ุจูŠุฑุฏ ุงุฒูˆุงุฌ ุงูˆ ุงุฒูˆุงุฌ ู…ุชู‚ุงุจู„ุฉ ุงู…ุง ุนู„ู‰ ุดูƒู„
688
+
689
+ 173
690
+ 00:15:02,620 --> 00:15:06,540
691
+ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
692
+
693
+ 174
694
+ 00:15:06,540 --> 00:15:09,560
695
+ ุงู…ุง
696
+
697
+ 175
698
+ 00:15:09,560 --> 00:15:12,320
699
+ ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„
700
+
701
+ 176
702
+ 00:15:12,320 --> 00:15:13,760
703
+ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
704
+
705
+ 177
706
+ 00:15:13,760 --> 00:15:13,880
707
+ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰
708
+
709
+ 178
710
+ 00:15:13,880 --> 00:15:14,100
711
+ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
712
+
713
+ 179
714
+ 00:15:14,100 --> 00:15:17,320
715
+ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง
716
+
717
+ 180
718
+ 00:15:19,750 --> 00:15:24,970
719
+ use difference between paired values ูุจุงุฎุฏ this
720
+
721
+ 181
722
+ 00:15:24,970 --> 00:15:28,850
723
+ symbol ุฏูŠ ุฏูŠ
724
+
725
+ 182
726
+ 00:15:28,850 --> 00:15:33,330
727
+ ุนุจุงุฑุฉ ุนู† ุงู„ first measure
728
+
729
+ 183
730
+ 00:15:33,330 --> 00:15:40,610
731
+ minus second one four and after either after minus
732
+
733
+ 184
734
+ 00:15:40,610 --> 00:15:45,730
735
+ four ูŠุนู†ูŠ ุจุงุฎุฏ ู‚ุจู„ ู†ู‚ุต ุจุนุฏ ุฃูˆ ุจุนุฏ ู†ู‚ุต ู‚ุจู„ ู…ุด ู…ุดูƒู„ุฉ
736
+
737
+ 185
738
+ 00:15:45,730 --> 00:15:49,150
739
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุจุณ ุจุฏูŠ positive ุชุตูŠุฑ negative sign
740
+
741
+ 186
742
+ 00:15:52,790 --> 00:16:00,270
743
+ ู„ู…ุง ุจุงุฎุฏ pair differences ู‡ุฐุง ุจูŠู‚ู„ู„ ุฃูˆ
744
+
745
+ 187
746
+ 00:16:00,270 --> 00:16:06,870
747
+ ุญุชู‰ ุจุญุฏุซ ุงู„ุงุฎุชู„ุงู ุจูŠู† ุงู„ุฃุดุฎุงุต ุงู„ assumptions ุงู„
748
+
749
+ 188
750
+ 00:16:06,870 --> 00:16:10,590
751
+ differences ุฏูˆู„ are normally distributed ุชูˆุฒูŠุญู‡ู…
752
+
753
+ 189
754
+ 00:16:10,590 --> 00:16:15,300
755
+ ุทุจูŠุนูŠุฃูˆ if not normal use large samples ุฒูŠ ู…ุง
756
+
757
+ 190
758
+ 00:16:15,300 --> 00:16:18,380
759
+ ุญูƒูŠู†ุง ููŠ ุงู„ุฃูˆู„ ูˆุงุญุฏุฉ ู…ู† ุงู„ assumptions ูƒุงู†ุช normal
760
+
761
+ 191
762
+ 00:16:18,380 --> 00:16:22,900
763
+ distribution or the sample size is at least 30 ู†ูุณ
764
+
765
+ 192
766
+ 00:16:22,900 --> 00:16:31,880
767
+ ุงู„ุฌุซุฉ ู‡ู†ุง ุทุจ ู…ุด ู‡ู†ุนู…ู„ ูƒู„ู‡ ู‡ู†ุนู…ู„ ุงู„ุชุงู„ูŠ ุฃุดุชุฑ ุนู„ู‰ ุงู„
768
+
769
+ 193
770
+ 00:16:31,880 --> 00:16:39,600
771
+ differences ุฃุทู„ุน ุงู„ mean ู„ู‡ู… ูˆุจุนุฏูŠู†
772
+
773
+ 194
774
+ 00:16:39,600 --> 00:16:46,960
775
+ ุฃุทู„ุน ุงู„ standard deviation ู„ู‡ู…ู‡ุชุทู„ู‚ ุงู„ู…ูŠู†ุŸ ูˆ ุงู„
776
+
777
+ 195
778
+ 00:16:46,960 --> 00:16:51,120
779
+ standard deviation
780
+
781
+ 196
782
+ 00:16:51,120 --> 00:16:58,660
783
+ of the differences ู‡ุชุงุฎุฏ ุงู„ exam ุงู„ู„ูŠ ุจู‚ู‰ ุดูˆูŠุฉ
784
+
785
+ 197
786
+ 00:16:58,660 --> 00:17:03,360
787
+ ุนู„ูŠู‡ ุทุจ ุจู‚ู‰ ู‡ุชุทู„ู‚ ุงู„ู…ูŠู†ุŸ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ู…ุฌู…ูˆุนุฉ ู‡ู…
788
+
789
+ 198
790
+ 00:17:03,360 --> 00:17:08,670
791
+ ุนู„ู‰ ุนุฏุฏู‡ู…ูˆ ุงู„ S ุจุชุฐูƒุฑ ู‚ู†ูˆุฉ ุงู„ S ุฃูˆ ุงู„ุญุฑุงู ุงู„ู…ุนูŠุงุฑุฉ
792
+
793
+ 199
794
+ 00:17:08,670 --> 00:17:14,050
795
+ ูƒุงููŠุฉ ู„ูˆ ุจู‚ู‰ ู„ุงุฎุฏู‡ุง sum X minus X bar over N minus
796
+
797
+ 200
798
+ 00:17:14,050 --> 00:17:20,310
799
+ one ู…ุด ู‡ูŠูƒ ูˆ ู†ูุณู‡ ุงู„ูŠูˆู… ุจุณ ุจุฏู„ X ู‡ุงุฎุฏู‡ุงุด D ุงู„ู„ูŠ ู‡ูˆ
800
+
801
+ 201
802
+ 00:17:20,310 --> 00:17:28,950
803
+ differences ูู‡ุฐุง ุจุฏู„ู‡ ู‡ูƒูˆู† ู‡ูŠูƒ summation D minus
804
+
805
+ 202
806
+ 00:17:28,950 --> 00:17:35,990
807
+ D bar squared over N minus oneูƒู„ ู…ุง ุณู†ูุนู„ู‡ ู‡ูˆ ู†ุฎุฑุฌ
808
+
809
+ 203
810
+ 00:17:35,990 --> 00:17:40,330
811
+ ุงู„ุงุฎุชู„ุงูุงุช ุงู„ู„ูŠ ู‡ูˆ before ู†ุฎุต after for example
812
+
813
+ 204
814
+ 00:17:40,330 --> 00:17:53,110
815
+ ู†ูุชุฑุถ ุฃุฎุฏ ุดุนุฑ ุณุฑูŠุน ู‡ูƒุฐุง IX1 before Y after ู†ูุชุฑุถ
816
+
817
+ 205
818
+ 00:17:53,110 --> 00:17:57,190
819
+ ุงู„ุดุฎุต ุงู„ุฃูˆู„ ูƒุงู†
820
+
821
+ 206
822
+ 00:17:57,190 --> 00:18:02,090
823
+ ุนุดุฑุฉ ุนู„ูŠูƒู… complaints ู†ูุชุฑุถ ุตุงุฑูˆุง ุชู…ุงู†ูŠุฉ ุงู„ุชุงู†ูŠุฉ
824
+
825
+ 207
826
+ 00:18:02,090 --> 00:18:07,790
827
+ ูƒุงู†ุช ุชุณุนุฉ ุตุงุฑุช ุชุณุนุฉุงู„ุชุงู„ุช ู†ูุชุฑุถ 12 ุตุงุฑูˆุง 8 ูˆ ู‡ูƒุฐุง
828
+
829
+ 208
830
+ 00:18:07,790 --> 00:18:16,670
831
+ ู†ูุชุฑุถ ุนู†ุฏู‡ 10 ุดุฎุต 14 ุตุงุฑูˆุง 13 ูˆ ู†ูุชุฑุถ ุงู„ุดุฎุต ุงู„ุฑุงุจุน
832
+
833
+ 209
834
+ 00:18:16,670 --> 00:18:24,790
835
+ ูƒุงู† ุนู„ูŠู‡ุง 20 ูˆ after ู†ูุชุฑุถ ุงู†ุณุญุจ ูŠุนู†ูŠ ู…ุงู„ูˆุด ุดุบู„
836
+
837
+ 210
838
+ 00:18:24,790 --> 00:18:32,690
839
+ ุจุทู„ ุงุดุชุบู„ ูŠุนู†ูŠ ููŠ ุงู„ุฃูˆู„ ุจุฏุฃุช ุจ 10 ู…ูˆุธููŠู† ูˆ ุงู†ุชู‡ูŠุช
840
+
841
+ 211
842
+ 00:18:32,690 --> 00:18:40,960
843
+ ุจ 9ู‡ุชุนู…ู„ ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ุชุณุนุฉ ุจุณ ูŠุนู†ูŠ ุฃูŠ ุดุฎุต ุงู†ุณุญุจ
844
+
845
+ 212
846
+ 00:18:40,960 --> 00:18:45,680
847
+ ุจูŠุทู„ุน ุจุฑุง ุนู…ู„ูŠุฉ ุงู„ุญุณุงุจุงุช ูุจุทู„ุน ุงู„ difference ูƒูŠู
848
+
849
+ 213
850
+ 00:18:45,680 --> 00:18:51,420
851
+ ุจุทู„ุนู‡ู…ุŸ ุงู…ุง x2-x1 ุงูˆ x1-x2 ุชุงุฎุฏ ุงู†ุง ุงูŠูƒ x2-x1
852
+
853
+ 214
854
+ 00:18:51,420 --> 00:18:57,300
855
+ ุชู…ุงู†ูŠุฉ ุงู„ุณู„ุจ negative two ู…ุด ู‡ูŠูƒ zero negative
856
+
857
+ 215
858
+ 00:18:57,300 --> 00:19:04,220
859
+ four ู‡ุฐุง ูุงุถูŠ ุจูŠุตูŠุฑู†ูุชุฑุถ ุงู„ุดุฎุต ุงู„ุฎุงู…ุณ ูƒุงู† ุนู„ูŠู‡ 23
860
+
861
+ 216
862
+ 00:19:04,220 --> 00:19:12,520
863
+ ูƒู…ุจู„ูŠู† ูˆุตุงุฑ 26 ุงูุชุฑุถ ุฒุงุฏ plus three and so on ู‡ุฏูˆู„
864
+
865
+ 217
866
+ 00:19:12,520 --> 00:19:17,600
867
+ ุจู†ุณู…ูŠู‡ู… ุงู„ differences ุงู„ูุฑู‚ุงุช
868
+
869
+ 218
870
+ 00:19:17,600 --> 00:19:24,840
871
+ ู‡ู„ ู‡ูŠ x1 minus x2 ุงูˆ x2 minus x1 ูƒู„ ุญุงู…ู„ ู‡ูˆ just
872
+
873
+ 219
874
+ 00:19:24,840 --> 00:19:29,920
875
+ apply apply one symbol
876
+
877
+ 220
878
+ 00:19:32,540 --> 00:19:36,580
879
+ T-test for
880
+
881
+ 221
882
+ 00:19:36,580 --> 00:19:40,320
883
+ the
884
+
885
+ 222
886
+ 00:19:40,320 --> 00:19:46,420
887
+ differences ูƒู„ู†ุง
888
+
889
+ 223
890
+ 00:19:46,420 --> 00:19:52,140
891
+ ุณู†ูุนู„ู‡ุง ุณู†ุทุจู‚ ุงุฎุชุจุงุฑ T ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ Chapter 9 ุจุณ
892
+
893
+ 224
894
+ 00:19:52,140 --> 00:19:57,060
895
+ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ differences ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡
896
+
897
+ 225
898
+ 00:19:57,060 --> 00:20:01,480
899
+ ููŠ Chapter 9I just apply one sample test ู„ุฏู‰
900
+
901
+ 226
902
+ 00:20:01,480 --> 00:20:07,480
903
+ differences ุชุชุฐูƒุฑ ุช ูƒุงู†ุช ุนู…ุฑุง ุฅูŠุด ูƒุงู†ุช X bar ู†ุงู‚ุต
904
+
905
+ 227
906
+ 00:20:07,480 --> 00:20:12,360
907
+ ู„ู…ูŠูˆ ุนู„ู‰ S ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู†ู…ุดูŠูƒ ู‡ุฐุง ุงู„ test that ูƒุงู†
908
+
909
+ 228
910
+ 00:20:12,360 --> 00:20:17,320
911
+ ุดุทุฑ ุชุณุนุฉ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ ุงุนู…ู„ applying ุงู„ one
912
+
913
+ 229
914
+ 00:20:17,320 --> 00:20:21,440
915
+ sample test ู„ู…ูŠู† ู„ุฏู‰ differences ูŠุนู†ูŠ ุจุฏู„ ู…ุง ูƒุงู†ุช
916
+
917
+ 230
918
+ 00:20:21,440 --> 00:20:30,160
919
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ุณุชุจุฏู„ ุงู„ X bar ู…ู† D bar ุจุณู†ู‚ุต ู…ูŠูˆ ูˆ
920
+
921
+ 231
922
+ 00:20:30,160 --> 00:20:33,580
923
+ ู…ูŠูˆ ูŠุญูƒูˆ ุงู„ difference ูˆ ุจุนุฏ ุงู„ุงุณ ูŠุญูƒูˆ SD ุนู„ู‰ ุฌุฒุฑ
924
+
925
+ 232
926
+ 00:20:33,580 --> 00:20:37,380
927
+ ุงู„ู„ู‡ ุฅุฐุง
928
+
929
+ 233
930
+ 00:20:37,380 --> 00:20:41,000
931
+ ู…ุงููŠุด ุงุฎุชู„ุงู ุจูŠู† ุงู„ุงุชู†ูŠู† ูƒู„ ุจูŠุนู…ู„ ูˆ ุจุทู„ุน ุงู„
932
+
933
+ 234
934
+ 00:20:41,000 --> 00:20:44,940
935
+ differences and just apply the t test for these
936
+
937
+ 235
938
+ 00:20:44,940 --> 00:20:49,560
939
+ differences ุจุทุจู‚ ุงู„ test ุนู„ูŠู‡ู… ูˆ ุงู„ test statistic
940
+
941
+ 236
942
+ 00:20:49,560 --> 00:20:53,340
943
+ ู‡ูŠ D bar minus ู…ูŠูˆ D ุนู„ู‰ SD ุนู„ู‰ ุฌุฒุฑ ุงู„ู„ู‡ ุทุจุนุง ุงู„
944
+
945
+ 237
946
+ 00:20:53,340 --> 00:20:55,560
947
+ test ุชู‡ุช ู†ูุณูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ degrees of freedom
948
+
949
+ 238
950
+ 00:20:55,560 --> 00:20:57,120
951
+ ุจุชุณุงูˆูŠ ุงู„ู†ุงู‚ุต ูˆุงุญุฏุฉ
952
+
953
+ 239
954
+ 00:21:00,710 --> 00:21:03,750
955
+ ู„ู…ุง ุงู†ุง ูƒุฏู‡ ู„ูˆ ุงุชูƒู„ู… ุนู† ุงู„ pair difference test ูƒู„
956
+
957
+ 240
958
+ 00:21:03,750 --> 00:21:07,870
959
+ ู…ุง ุจู†ุดุชุฑูŠ ุนู„ูŠู‡ ู†ูุณ ุงู„ T ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ chapter 9
960
+
961
+ 241
962
+ 00:21:07,870 --> 00:21:12,490
963
+ ุงู„ุงุฎุชู„ุงู ุงู„ูˆุญูŠุฏ ุจู†ุทู„ุน ุงู„ differences ูˆ ุจู†ุดุชุฑูŠ
964
+
965
+ 242
966
+ 00:21:12,490 --> 00:21:16,770
967
+ ุนู„ูŠู‡ู… ูˆ ุงู„ differences ุฅู…ุง after ู†ู‚ุต before ุฃูˆ
968
+
969
+ 243
970
+ 00:21:16,770 --> 00:21:20,890
971
+ before ู†ู‚ุต after ุงู„ูุฑู‚ ุจุณ ููŠ ุฅุฐุง ูƒุงู†ุช positive
972
+
973
+ 244
974
+ 00:21:20,890 --> 00:21:26,190
975
+ ุจูŠุตูŠุฑ negative ุฃูˆ ุงู„ุนูƒุณ ุฎู„ุงุต ู†ุทู„ุน ุงู„ example ุทุจุนุง
976
+
977
+ 245
978
+ 00:21:26,190 --> 00:21:30,600
979
+ ุงู„ู„ูŠุงู„hypotheses ู†ูุณ ุงู„ุฌุซุฉ two-tailed upper-tailed
980
+
981
+ 246
982
+ 00:21:30,600 --> 00:21:34,480
983
+ lower-tailed ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุญู„ุฉ ุงู„ุณุงุจู‚ุฉ ุฒูŠ
984
+
985
+ 247
986
+ 00:21:34,480 --> 00:21:37,140
987
+ ู…ุง ุญูƒูŠุช ุงู„ูƒู„ุงู… ู…ุชูƒุฑุฑ ุงู„ู„ูŠ ุฃุฎุฏู‡ุง ููŠ ุชุณุนุฉ ุงู„ู„ูŠ ุฃู†ุง
988
+
989
+ 248
990
+ 00:21:37,140 --> 00:21:42,640
991
+ ุจุชุทุจู‚ู‡ ุจุณ ุจุชุทุจู‚ู‡ ุนู„ู‰ ุงู„ difference ุงู„ confidence
992
+
993
+ 249
994
+ 00:21:42,640 --> 00:21:51,920
995
+ intervals ุฏูŠ ุงุญู†ุง ุนู…ู„ู†ุง ู„ู‡ุง skip ู…ู† ุงู„ุฃูˆู„ ุงู„
996
+
997
+ 250
998
+ 00:21:51,920 --> 00:21:58,210
999
+ exam ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุงู„ู‚ุงุชู„ assume you sendyour sales
1000
+
1001
+ 251
1002
+ 00:21:58,210 --> 00:22:01,830
1003
+ people to a customer service training workshop
1004
+
1005
+ 252
1006
+ 00:22:01,830 --> 00:22:07,570
1007
+ ู…ูุชุฑุถ ุฃู†ุช ุจุชุดุชุบู„ ููŠ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ูˆู…ุณุคูˆู„ุฉ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ
1008
+
1009
+ 253
1010
+ 00:22:07,570 --> 00:22:15,270
1011
+ ู…ูˆุธููŠู† ุจูŠุดุชุบู„ูˆุง as sales people ูˆู‡ุฏูˆู„ ู…ูุชุฑุถ ุจุนุชู‡ู…
1012
+
1013
+ 254
1014
+ 00:22:15,270 --> 00:22:21,890
1015
+ ุนู„ู‰ training workshopุงู„ู‡ุง ุนู„ุงู‚ุฉ ุจูŠุดุจู‡ customer
1016
+
1017
+ 255
1018
+ 00:22:21,890 --> 00:22:26,950
1019
+ service ูƒูŠู ุชุฎุฏู… ุงู„ุฒุจุงุฆู† ุฏูˆุฑุฉ ููŠ ุงู„ skills ู„ุฎุฏู…ุฉ
1020
+
1021
+ 256
1022
+ 00:22:26,950 --> 00:22:31,230
1023
+ ุงู„ุฒุจุงุฆู† ูุจูŠุณุฃู„ has the training made a difference
1024
+
1025
+ 257
1026
+ 00:22:31,230 --> 00:22:34,390
1027
+ in the number of complaintsุŸ ู‡ู„ ู„ู…ุง ุงู„ุดุฎุต ุญุถุฑ
1028
+
1029
+ 258
1030
+ 00:22:34,390 --> 00:22:38,210
1031
+ ุงู„ุฏูˆุฑุฉ ู‡ุฐุง ุฃูˆ ุงู„ workshop ุนู…ู„ ุงุฎุชู„ุงู ููŠ ุนุฏุฏ
1032
+
1033
+ 259
1034
+ 00:22:38,210 --> 00:22:43,510
1035
+ ุงู„ุดูƒุงูˆูŠ ุงู„ู„ูŠ ุฌุช ุนู„ูŠู‡ ู‡ูˆ ู…ุด ุนุงูŠุฒ ุณูˆุงุก ูƒุงู†ุช ุฒุงุฏุช ุงูˆ
1036
+
1037
+ 260
1038
+ 00:22:43,510 --> 00:22:46,710
1039
+ ู†ู‚ุตุช ูˆุนุงูŠุฒ ูŠูƒูˆู† ููŠู‡ ูุฑู‚ ูˆู„ุง ู„ุง ุงู†ุง ุจุชูƒู„ู… ุนู„ู‰ two
1040
+
1041
+ 261
1042
+ 00:22:46,710 --> 00:22:52,550
1043
+ -thirdsูˆ ู†ูุชุฑุถ ุฃู†ูƒ ุชุฎู„ู‚ ุงู„ data ุงู„ู…ุชุจู‚ูŠุฉ ุงุนุทุงู†ูŠ ..
1044
+
1045
+ 262
1046
+ 00:22:52,550 --> 00:22:56,670
1047
+ ุทุจุนุง ุงู„ sample size ุตุบูŠุฑ ุนุณุงุณ .. ุฃุนุฑู ุฃุญุณุจ ู„ุฅู† ู‡ูŠ
1048
+
1049
+ 263
1050
+ 00:22:56,670 --> 00:23:01,970
1051
+ ุจุฏู‡ุง ุญุณุงุจุงุช ูุฃุนุทุงู†ูŠ ุงู„ sales person five people ุงูˆ
1052
+
1053
+ 264
1054
+ 00:23:01,970 --> 00:23:05,210
1055
+ five sales people ูˆ ุงุนุทุงู†ูŠ number of complaints
1056
+
1057
+ 265
1058
+ 00:23:05,210 --> 00:23:10,370
1059
+ ุงู„ุดุฎุต ุงู„ุฃูˆู„ ูƒุงู† ุนู„ูŠู‡ ุณุชุฉ ุจุนุฏ ุงู„ training workshop
1060
+
1061
+ 266
1062
+ 00:23:10,370 --> 00:23:15,230
1063
+ ุตุงุฑ ุฃุฑุจุนุฉ ูŠุนู†ูŠ ูˆุถุน ุงุชุญุณู† ู…ุด ู‡ูŠ ุงู„ ten ูƒุงู† ุนู„ูŠู‡
1064
+
1065
+ 267
1066
+ 00:23:15,230 --> 00:23:22,880
1067
+ ุนุดุฑูŠู† ุตุงุฑ ุณุชุฉุดูˆู ุฏุงูŠู…ุง ุงู„ุชุญุณู† ุจูŠุตูŠุฑ ู„ู„ู†ุงุณ ุงู„ู„ูŠ
1068
+
1069
+ 268
1070
+ 00:23:22,880 --> 00:23:25,100
1071
+ ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ ูƒุชูŠุฑ ุฃูƒุชุฑ ู…ู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ
1072
+
1073
+ 269
1074
+ 00:23:25,100 --> 00:23:28,900
1075
+ ุฃู‚ู„ุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ู„ูŠ ุนู„ูŠู‡ ุดูƒุงูˆูŠ ู‚ู„ูŠู„ ู‡ูˆ already
1076
+
1077
+ 270
1078
+ 00:23:28,900 --> 00:23:33,660
1079
+ ูƒูˆูŠุณ ู„ูƒู† ู„ู…ุง ูŠุงุฎุฏ ุงู„ุฏูˆุฑุฉ ุจูŠุชุญุณู† ุจุณ ุจุฑุถู‡ ูŠุนู†ูŠ ู…ุด
1080
+
1081
+ 271
1082
+ 00:23:33,660 --> 00:23:36,520
1083
+ ู‡ูŠูƒูˆู† ุงู„ูุฑู‚ ุฒูŠ ุงู„ูุฑู‚ ุงู„ุฃูˆู„ ุฒูŠ ุจุงู„ุธุจุท ุทุงู„ุจ ุจูŠูƒูˆู†
1084
+
1085
+ 272
1086
+ 00:23:36,520 --> 00:23:42,360
1087
+ ุฌุงูŠ ุจุณุชูŠู† ูˆุงุฎุฏ ุฏูˆุฑุฉ ุงูุชุฑุถ ุฃุฎุฏ ู…ุฌู…ูˆุนุฉ ุดุบู„ุงุช ุชุญุณู†
1088
+
1089
+ 273
1090
+ 00:23:42,360 --> 00:23:45,800
1091
+ ู…ุณุชูˆู‰ ู…ู…ูƒู† ูŠุตู„ ุชู…ุงู†ูŠู† ุงูˆ ู…ู…ูƒู† ุงู†ุง ุฃุฑุชูุน ู…ู† ุณุชูŠู†
1092
+
1093
+ 274
1094
+ 00:23:45,800 --> 00:23:50,900
1095
+ ู„ุชู…ุงู†ูŠู†ู„ูƒู† ู„ูˆ ูˆุงุญุฏ ุฌุงุจ ุชู…ุงู†ูŠู† ุตุนุจ ุตูŠุฑ ู…ูŠุฉ ู…ู…ูƒู†
1096
+
1097
+ 275
1098
+ 00:23:50,900 --> 00:23:54,580
1099
+ ูŠุฌูŠุจ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู†ุŒ ุชุณุนูŠู†ุŒ ุฃุฒู‡ุงุฑ ูุชู„ุงุญุธ ู…ุซู„ุง ุงู„ุดุฎุต
1100
+
1101
+ 276
1102
+ 00:23:54,580 --> 00:23:57,680
1103
+ ุงู„ู„ูŠ ูƒุงู† ูŠุนู†ูŠ ุนุดุฑูŠู† complaint ุตุงุฑ ุณุชุฉ it makes
1104
+
1105
+ 277
1106
+ 00:23:57,680 --> 00:24:01,820
1107
+ sense ู„ุฃู† ู‡ูˆ ุนู„ูŠู‡ ู…ุดุงูƒู„ ูƒุชูŠุฑ ูุงู„ุฏูˆุฑุฉ ู‡ุฏุจุช ูˆุญุณู†ุช ู…ู†
1108
+
1109
+ 278
1110
+ 00:24:01,820 --> 00:24:06,320
1111
+ ุชุนุงู…ู„ ุทุจุนุง ุงู„ู„ูŠ ูƒุงู† ุชู„ุงุชุฉ ุตุงุฑุช ุงุชู†ูŠู† ุงู„ู„ูŠ ู…ุงุนู„ู‡ูˆุด
1112
+
1113
+ 279
1114
+ 00:24:06,320 --> 00:24:13,540
1115
+ ู…ู…ูƒู† ูŠุฒูŠุฏ ูˆ ุงู„ู„ูŠ ูƒุงู† ุนู„ูŠู‡ ุฃุฑุจุนุฉ ุตุงุฑ ุนู„ูŠู‡ ุณูุฑ ู‡ุฐุง
1116
+
1117
+ 280
1118
+ 00:24:13,540 --> 00:24:18,070
1119
+ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ fourtraining
1120
+
1121
+ 281
1122
+ 00:24:18,070 --> 00:24:23,230
1123
+ workshop ูˆ after ุงู„ training ุฅูŠุด ูƒู„ู‡ ู‡ู†ุนู…ู„ู‡ as
1124
+
1125
+ 282
1126
+ 00:24:23,230 --> 00:24:30,650
1127
+ first step ุฃูˆู„ ุฎุทูˆุฉ ุจุทู„ุน ุงู„ differences ูˆ ุฒูŠ ู…ุง
1128
+
1129
+ 283
1130
+ 00:24:30,650 --> 00:24:35,810
1131
+ ุญูƒูŠุช ุงู„ difference ุฅู…ุง ุจุทู„ุนู‡ุง after ู†ู‚ุต before ุฃูˆ
1132
+
1133
+ 284
1134
+ 00:24:35,810 --> 00:24:39,850
1135
+ before ู†ู‚ุต after ุฅุฐุง
1136
+
1137
+ 285
1138
+ 00:24:39,850 --> 00:24:43,570
1139
+ ู‡ูŠ before ูˆ ู‡ูŠ after
1140
+
1141
+ 286
1142
+ 00:24:47,880 --> 00:24:51,060
1143
+ ุงู„ู€ 6 ูˆ 4 ู‡ูŠ ุงู„ู€ difference ุงู„ู„ูŠ ู‡ูŠ after ู‡ูŠุงุฎุฏู‡ุง
1144
+
1145
+ 287
1146
+ 00:24:51,060 --> 00:24:56,580
1147
+ ู†ู‚ุต before minus
1148
+
1149
+ 288
1150
+ 00:24:56,580 --> 00:25:03,580
1151
+ 10 ู…ุด ู‡ูŠูƒ 4 ู†ู‚ุต 6 ุงู„ุด๏ฟฝ๏ฟฝุต ุงู„ุชุงู†ูŠ 20 ูˆุตุงุฑ 6 negative
1152
+
1153
+ 289
1154
+ 00:25:03,580 --> 00:25:15,460
1155
+ 14 3 2 minus 1 0 0 ุฃูƒูŠุฏ 0 ุฃุฎุฑ ูˆุงุญุฏ 4 0 negative
1156
+
1157
+ 290
1158
+ 00:25:19,580 --> 00:25:26,860
1159
+ ู‡ุฏูˆู„ ุงู„ differences ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ู… ุจุนู…ู„ู‡ู… one
1160
+
1161
+ 291
1162
+ 00:25:26,860 --> 00:25:30,560
1163
+ sample t-test ูƒู„ ุญุงุฌุฉ ุนุงู…ู„ุฉ ู‡ุชุทู„ุน ุฏูŠ barุŒ ุจู†ุงุฑููŠ
1164
+
1165
+ 292
1166
+ 00:25:30,560 --> 00:25:34,080
1167
+ ุฃุทู„ุน ุฏูŠ bar ู…ุด ุดูŠุก ุฃู†ุง ุฃุนู…ู„ ูƒุฏู‡ ุนู„ู‰ ุงู„ Excel ุนุดุงู†
1168
+
1169
+ 293
1170
+ 00:25:34,080 --> 00:25:36,000
1171
+ ู†ุชุฃูƒุฏ ุจุณ ู…ู† ุงู„ุฅุฌุงุจุงุช ุงู„ู…ูˆุฌูˆุฏุฉ
1172
+
1173
+ 294
1174
+ 00:25:50,860 --> 00:26:02,220
1175
+ ู„ุญุธุฉ ุงู†ุง ูƒู„ ุญุงุฌุฉ ุงุนู…ู„ู‡ ู‡ุงุฎุฏ ุงู„ differences ุงู„ู„ูŠ
1176
+
1177
+ 295
1178
+ 00:26:02,220 --> 00:26:10,680
1179
+ ู‡ู… ุงู„ negative two ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒุฏู‡ุด ู†ู‚ุต 14 ุจุนุฏูŠู†
1180
+
1181
+ 296
1182
+ 00:26:10,680 --> 00:26:18,720
1183
+ ุณู„ุจ 1 ุณู„ุจ 4 ู‡ุทู„ุน
1184
+
1185
+ 297
1186
+ 00:26:18,720 --> 00:26:19,400
1187
+ ุงู„ู…ูŠู† ุงู„ู„ูŠ ู‡ู…
1188
+
1189
+ 298
1190
+ 00:26:33,240 --> 00:26:40,920
1191
+ -4.2 ุงู„ู…ูŠู† ุงู„ู„ูŠ ุจุฌู…ุน ู‡ุฏูˆู„ ุจุฌุณู… ุงู„ุนุฏุฏ ูˆ negative
1192
+
1193
+ 299
1194
+ 00:26:40,920 --> 00:26:45,520
1195
+ two ูˆ negative fourteen ูˆ negative one ูˆ zero ูˆ
1196
+
1197
+ 300
1198
+ 00:26:45,520 --> 00:26:47,560
1199
+ negative four ุนู„ู‰ five
1200
+
1201
+ 301
1202
+ 00:26:52,960 --> 00:26:56,220
1203
+ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ุจู‚ู‰ ุจุชุทู„ุน ุงู„ standard deviation ุญุณุจ
1204
+
1205
+ 302
1206
+ 00:26:56,220 --> 00:27:03,880
1207
+ ุงู„ู‚ุงู†ูˆู† summation ุงู„ D ุนู„ู‰ ุงู„ ู†ู‚ุต ูˆุงุญุฏ under
1208
+
1209
+ 303
1210
+ 00:27:03,880 --> 00:27:08,700
1211
+ square root ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ D ู…ูˆุฌูˆุฏุฉ ุนู†ุฏ ู…ุดุงูƒ ุจุนู…ู„ ุฃูˆู„
1212
+
1213
+ 304
1214
+ 00:27:08,700 --> 00:27:16,680
1215
+ ุจุทู„ุน ุงู„ D ู†ู‚ุต D bar ุชุฑุจูŠุน ุจุงุฎุฏ ู‡ุฐู‡ ุงู„ุณู„ุจ 2 ู†ู‚ุต 4.2
1216
+
1217
+ 305
1218
+ 00:27:16,680 --> 00:27:24,220
1219
+ ูˆ ุจุฑุจุญู‡ุงุŒ ู…ุธุจูˆุทุŸ ุจุนุฏูŠู† ู†ู‚ุต 14 ุณู„ุจ 4.2 ูˆ ุจุฑุจุญู‡ุงุฃู‡
1220
+
1221
+ 306
1222
+ 00:27:24,220 --> 00:27:29,460
1223
+ ุจูŠุตูŠุฑ ุฒุงุฆุฏ ุจุนุฏูŠู† ู‡ูŠ ุงู„ุตูุฑ ุงู„ุณุงู„ุจ ุจูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุฒุงุฆุฏ
1224
+
1225
+ 307
1226
+ 00:27:29,460 --> 00:27:32,640
1227
+ ุจุนุฏูŠู†
1228
+
1229
+ 308
1230
+ 00:27:32,640 --> 00:27:37,620
1231
+ ุงู„ุณุงู„ุจ ุฃุฑุจุนุฉ ุฒุงุฆุฏ ูุจู‚ู‰ ุณุงู„ุจ ุณุงู„ุจ ู…ูˆุฌุจ ุงู„ D ู†ู‚ุต D
1232
+
1233
+ 309
1234
+ 00:27:37,620 --> 00:27:43,280
1235
+ bar ุงู„ D bar ุณุงู„ุจ ู„ูˆ ุนู…ู„ุช ู‡ูŠูƒ ููŠ ุงู„ุขุฎุฑ ุงู„ุฌูˆุงุจ
1236
+
1237
+ 310
1238
+ 00:27:43,280 --> 00:27:52,680
1239
+ ู‡ูŠุทู„ุน ู…ุนูŠ ุงู„ standard deviation ุงู„ู‚ูŠุงู…
1240
+
1241
+ 311
1242
+ 00:27:55,180 --> 00:28:00,080
1243
+ 5.67 ุณู‡ู„
1244
+
1245
+ 312
1246
+ 00:28:00,080 --> 00:28:05,500
1247
+ ุชุญุณุจูŠู‡ู…ุŒ ู…ุด ู‡ูŠูƒ ู„ุญุธุฉ ุงู„ values ู„ู„ difference are
1248
+
1249
+ 313
1250
+ 00:28:05,500 --> 00:28:08,980
1251
+ negative ู„ูƒู† ุงู„ standard deviation ู…ุงู„ู‡ positive
1252
+
1253
+ 314
1254
+ 00:28:08,980 --> 00:28:13,060
1255
+ ุฏุงุฆู…ุง ุงู„ standard deviation is non negative ุฏุงุฆู…ุง
1256
+
1257
+ 315
1258
+ 00:28:13,060 --> 00:28:18,020
1259
+ ุงู„ S ุฃูƒุจุฑ ู…ู† ุณูˆู‰ ุตูุฑ ุฃูƒูŠุฏ ููŠ ุนูŠูˆู† ุงู„ุชุฑุจูŠุฉ ู…ูˆุฌูˆุฏุฉ
1260
+
1261
+ 316
1262
+ 00:28:18,020 --> 00:28:23,850
1263
+ ู…ุธุจูˆุท ูู‚ู„ุช ู„ู‡ุง ุฃูƒูŠุฏ ู‡ูŠุทู„ุน ู…ูˆุฌุฉ ุทูŠุจ ุงู„ุขู† ุญุณุจุชุงู„ู€ D
1264
+
1265
+ 317
1266
+ 00:28:23,850 --> 00:28:28,090
1267
+ bar negative 4.2 ูˆ ุงู„ู€ SD 5.67 ู…ุงู‡ูŠ ุงู„ุณุจุจ ุงู„ู„ูŠ
1268
+
1269
+ 318
1270
+ 00:28:28,090 --> 00:28:38,050
1271
+ ุจุนุฏู‡ุง ุจุชุทู„ุน T test T statistic ุนุดุงู† ุงุทู„ุน ู‡ูŠ ุนุจุงุฑุฉ
1272
+
1273
+ 319
1274
+ 00:28:38,050 --> 00:28:44,390
1275
+ ุนู† D bar minus Mu D ุนู„ู‰ S ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ู‡ูˆ ููŠ ุงู„ู…ุซู„
1276
+
1277
+ 320
1278
+ 00:28:44,390 --> 00:28:49,150
1279
+ ุงู„ู„ูŠ ุญูƒู‰ has the training made a difference in the
1280
+
1281
+ 321
1282
+ 00:28:49,150 --> 00:28:55,370
1283
+ number of complaintsู…ุน ูƒุฏู‡ ุงู„ู…ูŠูˆ ุฏูŠ ุจูŠุตูˆู… ุตูุฑ ู„ุฅู†
1284
+
1285
+ 322
1286
+ 00:28:55,370 --> 00:29:02,250
1287
+ ู…ุงููŠุด ูุฑู‚ against there is a difference ุทุจุนุง ุงุญู†ุง
1288
+
1289
+ 323
1290
+ 00:29:02,250 --> 00:29:07,290
1291
+ ุฃุฎุฏู†ุง ุงู„ D ุฃูุถู„ ู†ู‚ุต ู…ู† ููˆู‚ ู„ุฅู† ุงู„ D statistic
1292
+
1293
+ 324
1294
+ 00:29:07,290 --> 00:29:17,270
1295
+ ู‡ุชุณุงูˆูŠ ุงู„ D bar negative 4.2 ุงู„ S D 5.67 ูˆ ุงู„ N
1296
+
1297
+ 325
1298
+ 00:29:17,270 --> 00:29:18,750
1299
+ ูƒู„ู‡ู… ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ ู‡ู… ุงู„ุฎู…ุณุฉ
1300
+
1301
+ 326
1302
+ 00:29:22,910 --> 00:29:31,150
1303
+ ุจุทูุน ุงู„ุฌูˆุงุจ negative 1.66 ุฅุฐุง step one ุจุนู…ู„
1304
+
1305
+ 327
1306
+ 00:29:31,150 --> 00:29:35,250
1307
+ computations ู„ู„ differences ูˆ ุจุทู„ุน ุงู„ D bar ูˆ ุงู„
1308
+
1309
+ 328
1310
+ 00:29:35,250 --> 00:29:39,570
1311
+ SD second step compute the value of the statistic
1312
+
1313
+ 329
1314
+ 00:29:39,570 --> 00:29:45,950
1315
+ ุงู„ู„ูŠ ุจุนุฏ ุฏู‡ ุจุทู„ุน ุงู„ critical values ุทุจ ูˆุงุถุญ ุฃู†ูŠ
1316
+
1317
+ 330
1318
+ 00:29:45,950 --> 00:29:49,990
1319
+ ุนู†ุฏูŠ two tailed test ู…ุด ู‡ูŠูƒDegrees of freedom N-1
1320
+
1321
+ 331
1322
+ 00:29:49,990 --> 00:30:01,030
1323
+ ุงู„ู€ N5-1 ุฃูƒูŠุฏ ูˆ 4 ู…ู† ุงู„ table ุจุชุทู„ุน 4.604 ูˆ minus
1324
+
1325
+ 332
1326
+ 00:30:01,030 --> 00:30:04,930
1327
+ T alpha over 2 ู†ูุณ ุงู„ู‚ูŠู…ุฉ ุจุณ ุจุงู„ negative ูุงู„
1328
+
1329
+ 333
1330
+ 00:30:04,930 --> 00:30:09,750
1331
+ critical values are 4.64 ูˆ negative 4 ู‡ุฐูŠ ุจุชุทู„ุน ู…ู†
1332
+
1333
+ 334
1334
+ 00:30:09,750 --> 00:30:17,090
1335
+ ูˆูŠู†ุŸ ุงูˆ ุฑูŠูƒูŠ ุงู„ุฌุฏูˆู„ู„ุญุธุฉ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ 4 ุฃู„ูุฉ ููŠ ู‡ุฐู‡
1336
+
1337
+ 335
1338
+ 00:30:17,090 --> 00:30:22,390
1339
+ ุงู„ุญุงู„ุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1340
+
1341
+ 336
1342
+ 00:30:22,390 --> 00:30:23,450
1343
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1344
+
1345
+ 337
1346
+ 00:30:23,450 --> 00:30:24,450
1347
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1348
+
1349
+ 338
1350
+ 00:30:24,450 --> 00:30:25,270
1351
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1352
+
1353
+ 339
1354
+ 00:30:25,270 --> 00:30:27,190
1355
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1356
+
1357
+ 340
1358
+ 00:30:27,190 --> 00:30:28,830
1359
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1360
+
1361
+ 341
1362
+ 00:30:28,830 --> 00:30:43,750
1363
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ
1364
+
1365
+ 342
1366
+ 00:30:44,770 --> 00:30:52,690
1367
+ ุฃูŠุด ุงู„ุฌูˆุงุจุŸ 4.604
1368
+
1369
+ 343
1370
+ 00:30:52,690 --> 00:30:59,610
1371
+ ููŠ ุงู„ุฃูˆู„ ู†ุฌุฏ ุงู„ degrees of freedom ุงู„ู„ูŠ ู‡ูˆ 4 ุจุนู…ู„
1372
+
1373
+ 344
1374
+ 00:30:59,610 --> 00:31:04,410
1375
+ intersection ู…ุน alpha over 2 which is 0.005 which
1376
+
1377
+ 345
1378
+ 00:31:04,410 --> 00:31:11,320
1379
+ is 4.604ูˆุงุถุญ ูƒูŠูุŸ ุฅุฐุง ู‡ุฐูˆู„ ุงู„ู€ critical values
1380
+
1381
+ 346
1382
+ 00:31:11,320 --> 00:31:15,820
1383
+ ู†ุชูุฑุฌ ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ุงุณุชุงุชูŠูƒุฒ ุชุชูุฑุฌ ููŠ ุงู„ู…ู†ุทู‚ุฉ
1384
+
1385
+ 347
1386
+ 00:31:15,820 --> 00:31:23,480
1387
+ ุงู„ุชูุฑุฌูŠุฉ ูˆุงุถุญ ุฃู† ุงู„ู€ negative 1.66 ู„ูŠุณ ุฃูƒุจุฑ ู…ู† 4
1388
+
1389
+ 348
1390
+ 00:31:23,480 --> 00:31:27,820
1391
+ ูˆู„ุง ุฃุตุฏุฑ ู…ู† negative 4.6 ูŠุนู†ูŠ ุงู„ู€ negative 1.6
1392
+
1393
+ 349
1394
+ 00:31:27,820 --> 00:31:33,800
1395
+ ุชุชูุฑุฌ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชูุฑุฌูŠุฉ ููŠ ู…ู†ุทู‚ุฉ ุนุฏู… ุงุฑูุน ูˆุงุถุญุŸ
1396
+
1397
+ 350
1398
+ 00:31:35,280 --> 00:31:39,540
1399
+ ู…ุนู†ู‰ ูƒุฏู‡ ุฅูŠุดุŸ bolt rejected zero ุฅุฐุง ุฅูŠุด
1400
+
1401
+ 351
1402
+ 00:31:39,540 --> 00:31:43,280
1403
+ conclusionุŸ there is insufficient evidence of a
1404
+
1405
+ 352
1406
+ 00:31:43,280 --> 00:31:45,980
1407
+ change in the number of complaints ู…ุงููŠุด ุฃุฏู„ุฉ ุชุฏุนู‰
1408
+
1409
+ 353
1410
+ 00:31:45,980 --> 00:31:50,320
1411
+ ุนู† ุฃู† ููŠู‡ ูุฑู‚ ููŠ ุงู„ุดูƒุงูˆูŠุฉ ุทุจ ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ training
1412
+
1413
+ 354
1414
+ 00:31:50,320 --> 00:31:54,700
1415
+ workshop ูƒุงู†ุช effective ูˆู„ุง not effectiveุŸ ู…ุคุซุฑุฉ
1416
+
1417
+ 355
1418
+ 00:31:54,700 --> 00:32:00,040
1419
+ ูˆู„ุง ุบูŠุฑ ู…ุคุซุฑุฉุŸ ู‡ูˆ ุงู„ number of complaints ู…ุงุชุบูŠุฑุดุŒ
1420
+
1421
+ 356
1422
+ 00:32:00,040 --> 00:32:02,880
1423
+ ู…ุน ูƒุฏู‡ ุบูŠุฑ ู…ุคุซุฑุฉุŒ ู…ุน ูƒุฏู‡ ุงู„ training workshop was
1424
+
1425
+ 357
1426
+ 00:32:02,880 --> 00:32:08,920
1427
+ ineffectiveู‡ู…ู„ุงุด ุชุฃุซูŠุฑ ุจุงู„ุฑุบู… ุงู† ุชู„ุงุญุธูŠ ุนู„ู‰ ุงู„
1428
+
1429
+ 358
1430
+ 00:32:08,920 --> 00:32:15,120
1431
+ data ู…ูˆุฌูˆุฏุฉ ููŠ ู†ุงุณ ู†ู‚ุตุฏ ุจุณ ูŠุนู†ูŠ ููŠ ุชุญุณู† ุจุณ ุงู„ุชุญุณู†
1432
+
1433
+ 359
1434
+ 00:32:15,120 --> 00:32:19,580
1435
+ ู…ุด ูƒุจูŠุฑ ุจุฑุถู‡ ุงู„ data ุตุบูŠุฑุฉ ู…ู‚ุฏุฑุด ุงุญูƒู… ู„ูƒู† ู‡ูŠ ูƒุงู†ุช
1436
+
1437
+ 360
1438
+ 00:32:19,580 --> 00:32:22,560
1439
+ ู…ุฌุฑุฏ example we don't reject another hypothesis
1440
+
1441
+ 361
1442
+ 00:32:22,560 --> 00:32:28,700
1443
+ means the training workshop was ineffective ูƒุงู†ุช
1444
+
1445
+ 362
1446
+ 00:32:28,700 --> 00:32:34,770
1447
+ ู…ุด ูุนุงู„ุฉุทูŠุจ ู„ูˆ ูˆุงุญุฏ ุนูƒุณ ุฅูŠุด ุนูƒุณุŸ ูŠุนู†ูŠ ุจุฏู„ ู…ุง ุฃุฎุฏ
1448
+
1449
+ 363
1450
+ 00:32:34,770 --> 00:32:42,030
1451
+ after ู†ู‚ุต before ุฃุฎุฏ before ู†ู‚ุต after ูƒู„ู‡ ู‡ูŠุฎุชู„ู
1452
+
1453
+ 364
1454
+ 00:32:42,030 --> 00:32:49,050
1455
+ ู…ุนุงู‡ ุฃู‡ ุจุณ ุงู„ุณุงู„ุจ ู‡ุฐุง ู‡ุตูŠุฑ plus ูˆุงู„ุฃุณ ุฏูŠ ุจุชุจู‚ู‰ ูƒู…ุง
1456
+
1457
+ 365
1458
+ 00:32:49,050 --> 00:32:54,050
1459
+ ู‡ูŠ ูˆ ุงู„ critical .. ูˆ ุงู„ T ู‡ุฐูŠ ุจุชุชุบูŠุฑ ู‡ุชุตูŠุฑ plusุŒ
1460
+
1461
+ 366
1462
+ 00:32:54,050 --> 00:33:00,190
1463
+ ู…ุตุจูˆุทุŸ ู‡ุฐูŠ plus ูˆ ุงู„ T alpha over two ุงู„ุชุงู…ุฉ ูƒู…ุง
1464
+
1465
+ 367
1466
+ 00:33:00,190 --> 00:33:12,310
1467
+ ู‡ูŠูˆู„ุง ู„ูˆ ุทู„ุนุช ู‡ู„ ุงู„ 1.66 ุฃู‚ู„ ู…ู† ุงู„ 4 ู„ุฃ
1468
+
1469
+ 368
1470
+ 00:33:12,310 --> 00:33:17,450
1471
+ ู…ุด ู‡ุงูƒุจุฑ ูˆู‚ุน ุจุฑุถู‡ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุฅุฐุง ู†ูุณ ุงู„ู‚ุฑุงุฑ ุฅุฐุง
1472
+
1473
+ 369
1474
+ 00:33:17,450 --> 00:33:21,230
1475
+ ุณูˆุงุก ุฎุฏุชู‡ุง before ู†ู‚ุต after ุฃูˆ after ู†ู‚ุต 4 we end
1476
+
1477
+ 370
1478
+ 00:33:21,230 --> 00:33:26,930
1479
+ with the same result ู†ู†ุชูŠุฌุฉ ุจู†ูุณ ุงู„ู†ุชุฌุฉ ุฒูŠ ู…ุนู†ุงู‡
1480
+
1481
+ 371
1482
+ 00:33:26,930 --> 00:33:31,450
1483
+ ูƒุฏู‡ ููŠ ุญุงู„ุฉ ุงู„ birth difference school ุจู†ุนู…ู„ู‡ุจุทู„ุน
1484
+
1485
+ 372
1486
+ 00:33:31,450 --> 00:33:37,310
1487
+ ุงู„ differences ูˆ ุจุดุชุฑูŠ ุนู„ูŠู‡ู… chapter 9 ู„ูŠู‡ one
1488
+
1489
+ 373
1490
+ 00:33:37,310 --> 00:33:44,090
1491
+ sample t test ูู‚ุท ูู„ุณ ู„ุบุงูŠุฉ ู‡ู†ุง ุงู† ุดุงุก ุงู„ู„ู‡ ุทุจุนุง
1492
+
1493
+ 374
1494
+ 00:33:44,090 --> 00:33:48,110
1495
+ ุงู„ slide ุงู„ุจุนุฏ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ู„ุบุงูŠุฉ ู‡ู†ุง ุจูƒูˆู† ุฎู„ุตุช ุงู„
1496
+
1497
+ 375
1498
+ 00:33:48,110 --> 00:33:53,410
1499
+ population means ุงูŠุด ุจุชุงุจ ุนู„ูŠู†ุง ุงู„ proportions ู‡ุงุฏ
1500
+
1501
+ 376
1502
+ 00:33:53,410 --> 00:33:57,950
1503
+ ุงู„ู„ูŠ ู„ู‚ุงุก ูŠูˆู… ุงู„ุณุจุช ู„ูƒู† ุงู„ quiz ุฑู‚ู… 3 ู‡ูƒูˆู† ููŠ ุงู„
1504
+
1505
+ 377
1506
+ 00:33:57,950 --> 00:34:02,500
1507
+ means ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ู„ุบุงูŠุฉ ุงู„ูŠูˆู…ูŠุนู†ูŠ ู„ู‚ุงุก ุงู„ูŠูˆู… ุฏุงุฎู„
1508
+
1509
+ 378
1510
+ 00:34:02,500 --> 00:34:05,560
1511
+ ุฎู„ุงุต ููŠ ุงูŠ ุณุคุงู„
1512
+
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1
+ 1
2
+ 00:00:20,650 --> 00:00:27,090
3
+ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุงู„ test for two means last
4
+
5
+ 2
6
+ 00:00:27,090 --> 00:00:33,250
7
+ time we talked about one case when sigma one and
8
+
9
+ 3
10
+ 00:00:33,250 --> 00:00:36,470
11
+ sigma two are unknown but we assumed they are
12
+
13
+ 4
14
+ 00:00:36,470 --> 00:00:41,690
15
+ equal and if you remember we did one example for
16
+
17
+ 5
18
+ 00:00:41,690 --> 00:00:49,610
19
+ this case and we have this t statistic and we have
20
+
21
+ 6
22
+ 00:00:49,610 --> 00:00:53,680
23
+ a newุงู„ุฎุทูˆุงุช ุงู„ู„ูŠ ุชุณู…ูŠู‡ุง ุงู„ูˆุฒุฑุงุก ุงู„ูˆุฒุฑุงุก ุงูƒุชุฑ ุงูƒุชุฑ
24
+
25
+ 7
26
+ 00:00:53,680 --> 00:00:58,040
27
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
28
+
29
+ 8
30
+ 00:00:58,040 --> 00:00:58,060
31
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
32
+
33
+ 9
34
+ 00:00:58,060 --> 00:01:01,420
35
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
36
+
37
+ 10
38
+ 00:01:01,420 --> 00:01:01,540
39
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
40
+
41
+ 11
42
+ 00:01:01,540 --> 00:01:09,080
43
+ ุงูƒุชุฑ ุงูƒุชุฑ
44
+
45
+ 12
46
+ 00:01:19,720 --> 00:01:26,580
47
+ ุงู„ุตูŠุบู…ุงุช ู…ุฑุชุจุทุฉ ุงู„ุตูŠุบู…ุงุช
48
+
49
+ 13
50
+ 00:01:26,580 --> 00:01:32,420
51
+ ุบูŠุฑ ู…ุนุฑูˆูุฉ ู„ุงุฒู…
52
+
53
+ 14
54
+ 00:01:32,420 --> 00:01:37,520
55
+ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ู„ูŠ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
56
+
57
+ 15
58
+ 00:01:37,520 --> 00:01:37,860
59
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
60
+
61
+ 16
62
+ 00:01:37,860 --> 00:01:39,380
63
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
64
+
65
+ 17
66
+ 00:01:39,380 --> 00:01:39,380
67
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
68
+
69
+ 18
70
+ 00:01:39,380 --> 00:01:39,380
71
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
72
+
73
+ 19
74
+ 00:01:39,380 --> 00:01:49,300
75
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
76
+
77
+ 20
78
+ 00:01:49,300 --> 00:01:53,230
79
+ ู†ุงู„ุซุงู†ูŠ ู‡ูˆ ุงู„ุชุบูŠูŠุฑ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
80
+
81
+ 21
82
+ 00:01:53,230 --> 00:01:53,250
83
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
84
+
85
+ 22
86
+ 00:01:53,250 --> 00:01:55,090
87
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
88
+
89
+ 23
90
+ 00:01:55,090 --> 00:02:00,330
91
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
92
+
93
+ 24
94
+ 00:02:00,330 --> 00:02:00,370
95
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
96
+
97
+ 25
98
+ 00:02:00,370 --> 00:02:00,370
99
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
100
+
101
+ 26
102
+ 00:02:00,370 --> 00:02:01,110
103
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
104
+
105
+ 27
106
+ 00:02:01,110 --> 00:02:03,210
107
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู†
108
+
109
+ 28
110
+ 00:02:03,210 --> 00:02:07,290
111
+ ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ ุงู† ุงู„ูˆุงุถุญ
112
+
113
+ 29
114
+ 00:02:07,290 --> 00:02:18,090
115
+ ุงู†
116
+
117
+ 30
118
+ 00:02:18,910 --> 00:02:23,370
119
+ ู‡ูˆ ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู‚ู…ู†ุงู‡ ู‚ุจู„ู‡ุง ู„ุฐู„ูƒ ู„ู‡ุฐุง ูู‚ุท ุฏูŠ ุงู
120
+
121
+ 31
122
+ 00:02:23,370 --> 00:02:31,130
123
+ ุงู‚ุตู‰ N1 ุจู„ุณ N2-2 ุงู„ุงู† ุชูŠุณุชุงุชูŠุณุชูŠูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
124
+
125
+ 32
126
+ 00:02:31,130 --> 00:02:35,510
127
+ ู…ุฎุชู„ูุฉ ู‚ู„ูŠู„ุง ู…ู† ุงู„ุณุงุจู‚ุฉ ุดูˆูŠุฉ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง
128
+
129
+ 33
130
+ 00:02:35,510 --> 00:02:40,770
131
+ ููŠ ุงู„ุฃูˆู„ ุฅุฐุง ุชุฐูƒุฑูŠ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ ู…ู† ุดูˆูŠุฉ ุงูŠู‡
132
+
133
+ 34
134
+ 00:02:40,770 --> 00:02:43,770
135
+ ุชูŠุณุชุงุชูŠุณุชูŠูƒ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุชุจู‚ู‰ ุงู„ูŠูˆู… ุฅุฐุง
136
+
137
+ 35
138
+ 00:02:43,770 --> 00:02:48,150
139
+ ูƒุงู† ุงู„ sigma's unknownูˆู„ูƒู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู„ูŠุณูˆุง
140
+
141
+ 36
142
+ 00:02:48,150 --> 00:02:53,310
143
+ ู…ุฑุชุจุทูŠู†ุŒ ูุณู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ูˆุตูุฉ
144
+
145
+ 37
146
+ 00:02:53,310 --> 00:03:03,490
147
+ ุงู„ุงุฎุชู„ุงู
148
+
149
+ 38
150
+ 00:03:03,490 --> 00:03:08,700
151
+ ุจุณ ุจุฏู„ ู…ู† ุฃุฎุฐ square root of square B1 over n1
152
+
153
+ 39
154
+ 00:03:08,700 --> 00:03:13,060
155
+ plus 1 over n2 ู†ุงุฎุฏ ูู‚ุท square root of s1 squared
156
+
157
+ 40
158
+ 00:03:13,060 --> 00:03:18,160
159
+ over n1 plus s2 squared over n2 ูˆ ุงู„ degrees of
160
+
161
+ 41
162
+ 00:03:18,160 --> 00:03:20,960
163
+ freedom ู†ุงุฎุฏู‡ุง approximately equal to n1 plus n2
164
+
165
+ 42
166
+ 00:03:20,960 --> 00:03:27,660
167
+ minus 2 and we have the same one tail and two tail
168
+
169
+ 43
170
+ 00:03:27,660 --> 00:03:33,020
171
+ test and let's do this the same example we did
172
+
173
+ 44
174
+ 00:03:33,020 --> 00:03:42,880
175
+ last timeุงู„ุฎุงุต ุจูƒ ุฃู†ูƒ ุงุฎุชู„ุงู
176
+
177
+ 45
178
+ 00:03:42,880 --> 00:03:45,440
179
+ ุจูŠู†ู‡ู… ูƒุงู„ุชุงู„ูŠ ุจูŠุญูƒูŠ ุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ุจูŠู† ุงู„ู‡ุฌูˆู…
180
+
181
+ 46
182
+ 00:03:45,440 --> 00:03:49,580
183
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ุจูŠู† ุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
184
+
185
+ 47
186
+ 00:03:49,580 --> 00:03:51,420
187
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
188
+
189
+ 48
190
+ 00:03:51,420 --> 00:03:51,680
191
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
192
+
193
+ 49
194
+ 00:03:51,680 --> 00:03:52,640
195
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
196
+
197
+ 50
198
+ 00:03:52,640 --> 00:03:52,640
199
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
200
+
201
+ 51
202
+ 00:03:52,640 --> 00:03:54,960
203
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
204
+
205
+ 52
206
+ 00:03:54,960 --> 00:04:01,980
207
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
208
+
209
+ 53
210
+ 00:04:01,980 --> 00:04:05,510
211
+ ุงู„ุงู†example ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑ ุชุจุน ุงู„ูŠูˆู… ู‡ูŠ ู†ูุณ ุงู„
212
+
213
+ 54
214
+ 00:04:05,510 --> 00:04:09,850
215
+ example ุจุณ ู…ุฑุฉ ู‡ู†ุญู„ูˆู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑ ุญู„ู„ู†ุงู‡ุง ููŠ ุญุงู„ุฉ
216
+
217
+ 55
218
+ 00:04:09,850 --> 00:04:17,950
219
+ equal ู„ุญุธุฉ ู†ูุณู‡ ููŠ ุญุงู„ุฉ ุงู„ equal ู†ูุณ ุงู„ slide ู…ู‡ูŠ
220
+
221
+ 56
222
+ 00:04:17,950 --> 00:04:24,150
223
+ ู†ูุณ ุงู„ slide ุงู„ู…ุฑุฉ ู‡ุฐู‡ ููŠ ุญุงู„ุฉ ุงู„ unequal ู†ูุณ ุงู„
224
+
225
+ 57
226
+ 00:04:24,150 --> 00:04:27,350
227
+ example ู‡ู†ุญู„ูˆู‡ ู…ุฑุฉ ููŠ ุงู„ equal ุญู„ู„ู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑ
228
+
229
+ 58
230
+ 00:04:28,130 --> 00:04:31,750
231
+ ู‡ุชู„ุงุญุธู‰ ุงู„ conclusion ุงู„ู„ู‰ ู…ุฑุฉ ูุงุชุช ูƒุงู† ุนุจุงุฑุฉ ุนูŠุด
232
+
233
+ 59
234
+ 00:04:31,750 --> 00:04:35,830
235
+ reject ุงู„ zero ูˆุญูƒูŠู†ุง there is sufficient evidence
236
+
237
+ 60
238
+ 00:04:35,830 --> 00:04:39,330
239
+ of a difference in means ุงู„ู„ูŠ ู„ู…ุง ู†ุบูŠุฑ ูˆูŠุตูŠุฑ
240
+
241
+ 61
242
+ 00:04:39,330 --> 00:04:43,710
243
+ unequal variances ู…ู…ูƒู† ุงู„ูˆุถุน ูŠุฎุชู„ู ุชู…ุงู…ุง ุจุงุถุญ ูŠุนู†ูŠ
244
+
245
+ 62
246
+ 00:04:43,710 --> 00:04:50,450
247
+ ู…ุด ุดุฑุท ูŠูƒูˆู† ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุฎู„ู‘ูŠู†ุง ู†ุดูˆู ู…ุน ุจุนุถ ูƒู„ ุญุงุฌุฉ
248
+
249
+ 63
250
+ 00:04:50,450 --> 00:04:54,450
251
+ ู…ู† ุงู„ู‚ุงุชู„ ุทุจุนุง ู‡ูˆ ู…ุด ู‡ูŠุนุทูŠูƒ ุงู„ุฅุฌุงุจุฉ ู‡ูŠุญู„ ุนู„ู‰ ุงู„
252
+
253
+ 64
254
+ 00:04:54,450 --> 00:05:03,350
255
+ Excel ู„ุญุธุฉ ููŠุด ู‡ู†ุง ุญู„ ูˆุงุถุญู†ุญู„ ุงุญู†ุง ู…ุน ุจุนุถ ุงุฐุง
256
+
257
+ 65
258
+ 00:05:03,350 --> 00:05:08,730
259
+ ู‡ุงูŠ T-stat equals
260
+
261
+ 66
262
+ 00:05:08,730 --> 00:05:19,450
263
+ ุจุงุฎุฏ ุงู„ data ุงู„ู„ูŠ ุดูู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑู‡ X1 bar 3
264
+
265
+ 67
266
+ 00:05:19,450 --> 00:05:23,710
267
+ .17 minus
268
+
269
+ 68
270
+ 00:05:23,710 --> 00:05:26,510
271
+ X2 bar 2.53
272
+
273
+ 69
274
+ 00:05:29,630 --> 00:05:33,430
275
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
276
+
277
+ 70
278
+ 00:05:33,430 --> 00:05:35,050
279
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
280
+
281
+ 71
282
+ 00:05:35,050 --> 00:05:35,590
283
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
284
+
285
+ 72
286
+ 00:05:35,590 --> 00:05:36,110
287
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
288
+
289
+ 73
290
+ 00:05:36,110 --> 00:05:40,630
291
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
292
+
293
+ 74
294
+ 00:05:40,630 --> 00:05:42,330
295
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
296
+
297
+ 75
298
+ 00:05:42,330 --> 00:05:47,150
299
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
300
+
301
+ 76
302
+ 00:05:47,150 --> 00:05:47,210
303
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
304
+
305
+ 77
306
+ 00:05:47,210 --> 00:05:58,390
307
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
308
+
309
+ 78
310
+ 00:05:59,450 --> 00:06:07,350
311
+ plus 1.16 squared divided by n2 ุงู„ุงู† ู„ูˆ ุญู„ูŠุชูŠ ู‡ุฐุง
312
+
313
+ 79
314
+ 00:06:07,350 --> 00:06:16,750
315
+ ู‡ูŠูƒ ุงูƒูŠุฏ ุงู„ุฌูˆุงุจ ู‡ูŠุทู„ุน ู…ุนุงูƒ 2.019 ุงุฐุง ู‡ูŠ ุงู„ุฌูˆุงุจ 2
316
+
317
+ 80
318
+ 00:06:16,750 --> 00:06:25,250
319
+ .019 ุฎู„ุงุต ุงุฐุง ุงู†ุง ุจุดุชุฑูŠ ุนู„ู‰ T statistic ู„ุฌุฏูŠุฏ
320
+
321
+ 81
322
+ 00:06:26,790 --> 00:06:32,990
323
+ ุชุณุงุช ุชุณุงูˆูŠ 2.019 ุช
324
+
325
+ 82
326
+ 00:06:32,990 --> 00:06:40,510
327
+ ุงู„ู ุงูˆูุฑ ุงุชูˆ ู†ูุณ ุงู„ู‚ุตุฉ ู„ุงุฒู… ุงุทู„ุนู‡ุง ุงู„ุงู„ูุฉ
328
+
329
+ 83
330
+ 00:06:40,510 --> 00:06:45,030
331
+ ูƒุงู†ุช 5% ูุงู„ู
332
+
333
+ 84
334
+ 00:06:45,030 --> 00:06:51,550
335
+ ุงูˆูุฑ ุงุชูˆ ู‡ูˆ 0.25 ู„ุงุฒู… ุงุทู„ุนู‡ุง ู…ู† ุงู„ table ูˆู†ุนุชุจุฑ ุงู„
336
+
337
+ 85
338
+ 00:06:51,550 --> 00:06:55,070
339
+ degree of freedom is approximately N1
340
+
341
+ 86
342
+ 00:06:56,760 --> 00:07:04,180
343
+ plus n 2 minus 2 44 ุชุฐูƒุฑ ุฃู†ู†ุง ุญู„ู†ุง ุนู„ู‰ 44 ุนู„ู‰
344
+
345
+ 87
346
+ 00:07:04,180 --> 00:07:09,100
347
+ ุงู„ุชุงุจุน ู„ู… ูŠูƒู† 44 ู…ูˆุฌูˆุฏ ุฃุฎุฏู†ุง approximate one the
348
+
349
+ 88
350
+ 00:07:09,100 --> 00:07:16,180
351
+ closest one was 40 ูุทู„ู†ุงู‡ุง ุนู†ุฏ ุงู„ุฃุฑุจุนูŠู† ูˆู‡ูŠ ุฌุฏูˆู„
352
+
353
+ 89
354
+ 00:07:16,180 --> 00:07:23,160
355
+ ุงู„ T-test ุฃู†ุง ุจุชุฏูˆุฑ ุนู„ู‰ ุงู„ุฃุฑุจุนูŠู† ู…ุงุก zero to five
356
+
357
+ 90
358
+ 00:07:26,420 --> 00:07:32,240
359
+ 2.0212.0212
360
+
361
+ 91
362
+ 00:07:32,240 --> 00:07:38,540
363
+ .0212
364
+
365
+ 92
366
+ 00:07:38,540 --> 00:07:48,720
367
+ .0212.0212.0212.0212.0212.0202.0202.0202.0202.0202
368
+
369
+ 93
370
+ 00:07:48,720 --> 00:07:51,340
371
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
372
+
373
+ 94
374
+ 00:07:51,340 --> 00:07:52,280
375
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
376
+
377
+ 95
378
+ 00:07:52,280 --> 00:07:52,280
379
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
380
+
381
+ 96
382
+ 00:07:52,280 --> 00:07:52,300
383
+ .0202.0202.0202.0202.0202.0202.0202.0202.0202.0202
384
+
385
+ 97
386
+ 00:07:52,300 --> 00:07:56,180
387
+ .0202.0202.020
388
+
389
+ 98
390
+ 00:08:01,890 --> 00:08:07,930
391
+ ุงู„ุชุงู†ูŠุฉ ู†ูŠุฌุงุชูŠุจ ุงู„ุชุณุชุงุชูŠุด
392
+
393
+ 99
394
+ 00:08:07,930 --> 00:08:12,350
395
+ 2.019
396
+
397
+ 100
398
+ 00:08:12,350 --> 00:08:16,410
399
+ ู…ุงุฐุง
400
+
401
+ 101
402
+ 00:08:16,410 --> 00:08:18,870
403
+ ูŠุนู†ูŠ 2.019
404
+
405
+ 102
406
+ 00:08:24,650 --> 00:08:27,390
407
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
408
+
409
+ 103
410
+ 00:08:27,390 --> 00:08:37,910
411
+ ุชุณู…ู‰ ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ู„ุญุธุฉ
412
+
413
+ 104
414
+ 00:08:37,910 --> 00:08:44,650
415
+ 2.019 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุฅุฐุงู‹
416
+
417
+ 105
418
+ 00:08:44,650 --> 00:08:47,910
419
+ ู†ุญู† ู„ุง ู†ุชูุฑุฌ ู…ู† ุงู„hypothesis .. ุฃุนู†ูŠ ู†ุญู† ู†ูุฑุฌ ู…ู†
420
+
421
+ 106
422
+ 00:08:47,910 --> 00:08:54,190
423
+ ุงู„hypothesis ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ ุฃุฏู„ุฉ
424
+
425
+ 107
426
+ 00:08:54,190 --> 00:09:02,950
427
+ ูƒุงููŠุฉ ุชุฏุนูŠ ุฃู† ู‡ู†ุงูƒ ูุฑู‚ ููŠ ุงู„ู…ุชูˆุงุตู„ ุฅุฐุงู‹
428
+
429
+ 108
430
+ 00:09:02,950 --> 00:09:04,770
431
+ ุงู„ conclusion is that we failed to reject the zero
432
+
433
+ 109
434
+ 00:09:04,770 --> 00:09:07,670
435
+ ู…ุน ูƒุฏู‡ ู‡ู†ุงูƒ ุฃุฏู„ุฉ ูƒุงููŠุฉ ุชุฏุนูŠ ุฃู† ู‡ู†ุงูƒ ูุฑู‚ ููŠ
436
+
437
+ 110
438
+ 00:09:07,670 --> 00:09:08,050
439
+ ุงู„ู…ุชูˆุงุตู„
440
+
441
+ 111
442
+ 00:09:11,970 --> 00:09:17,810
443
+ ู…ุน ู‚ุฑุงุฑุงุช ู…ุฎุชู„ูุฉ ู„ูƒู„ุง ุงู„ุญุงู„ุงุช ุงู„ู…ุงุถูŠุฉ ุนู†ุฏู…ุง ู‚ุฑุฑ
444
+
445
+ 112
446
+ 00:09:17,810 --> 00:09:20,890
447
+ ุดุฎุตูŠุฉ ุณูŠุฌู…ุง 1 ูŠู‚ู„ ู„ุณูŠุฌู…ุง 2 ูƒุงู†ุช ู‚ุฑุงุฑุฉ ุงู„ุงู†ุชู‚ุงู„
448
+
449
+ 113
450
+ 00:09:20,890 --> 00:09:28,650
451
+ ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช
452
+
453
+ 114
454
+ 00:09:28,650 --> 00:09:38,510
455
+ ู†ู‚ู„ุช
456
+
457
+ 115
458
+ 00:09:39,540 --> 00:09:47,200
459
+ ุญุณุจ T ุงู„ statistic ู…ุน ุงู„ critical value ุฎู„ุงุตุŸ
460
+
461
+ 116
462
+ 00:09:47,200 --> 00:09:52,240
463
+ ููŠ ุงูŠ ุณุคุงู„ุŸ ู†ูุณ ุงู„ exam ุจุชุงุนูŠ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช
464
+
465
+ 117
466
+ 00:09:52,240 --> 00:09:57,060
467
+ ุงู„ุงุฎุชู„ุงู ูู‚ุท ู„ู…ุง ุญุณุจู†ุง T ุงู„ statistic ูˆ ุฏู‡ ุงู„ุณุคุงู„
468
+
469
+ 118
470
+ 00:09:57,060 --> 00:10:03,160
471
+ ุงู„ู„ูŠ ุงู†ุช ูˆู‚ุนุช ู…ุนุงู‡ ู…ุธู‡ุฑุŸ ููŠ ุงูŠ ุณุคุงู„ุŸ ุงู†ุช ุจุชุญูƒูˆุง ู…ุน
472
+
473
+ 119
474
+ 00:10:03,160 --> 00:10:08,520
475
+ ุจุนุถ ุงุญูƒูˆุง ู…ุนุงูŠุง ุงูุถู„ ู„ูƒ ููŠ ุงูŠ ุณุคุงู„ุŸ ู…ุงุดูŠ ุงู„ู†ู‚ุทุฉ
476
+
477
+ 120
478
+ 00:10:08,520 --> 00:10:12,990
479
+ ุงู„ุจุนุฏุฉุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ุญุชู‰ ุงู„ุขู†ุŒ ุชุชุฐูƒุฑ ู…ุฑุฉ ูุงุช ุญูƒูŠู†ุง ููŠ
480
+
481
+ 121
482
+ 00:10:12,990 --> 00:10:18,130
483
+ ุนู†ุฏูŠ chapter 10ุŸ ููŠู‡ test ู„ู„ means ูˆ test ู„ู„
484
+
485
+ 122
486
+ 00:10:18,130 --> 00:10:21,390
487
+ proportionsุŒ ุจุฏุฃู†ุง ุจุงู„ means ูˆู‚ู„ู†ุง ุงู„ means ููŠ
488
+
489
+ 123
490
+ 00:10:21,390 --> 00:10:26,330
491
+ ุญุงู„ุชูŠู†ุŒ independent ูˆ related ููŠ ุงู„ independent
492
+
493
+ 124
494
+ 00:10:26,330 --> 00:10:30,130
495
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ููŠู‡ ุญุงู„ุชูŠู† ุงู„ variances are equal ูˆ not
496
+
497
+ 125
498
+ 00:10:30,130 --> 00:10:34,830
499
+ equal ูˆ ุฏู‡ ุฎู„ุตู†ุงู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุจุงุนุฏุฉ ุงู„ related
500
+
501
+ 126
502
+ 00:10:34,830 --> 00:10:39,340
503
+ populations ุงู„ู„ูŠ ู‡ูŠ ุงู„ pair difference testุจูŠุนุทูŠูƒ
504
+
505
+ 127
506
+ 00:10:39,340 --> 00:10:41,480
507
+ ู…ู‚ุฏู…ุฉ ุจุงู„ุนุฑุจูŠุฉ ุนู„ูŠู‡ุง ุนุดุงู† ุชุณุชูˆุนุจ ุงูŠุด ุงู„ู„ูŠ ุงุญู†ุง
508
+
509
+ 128
510
+ 00:10:41,480 --> 00:10:49,440
511
+ ุนุงูŠุฒูŠู†ู‡ ุงู„ู„ูŠ ู‡ูˆู† ู†ูุชุฑุถ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ููŠู‡ ุนู†ุฏู‡ุง ุนุฏุฏ ู…ู†
512
+
513
+ 129
514
+ 00:10:49,440 --> 00:10:54,220
515
+ ุงู„ู…ูˆุธููŠู† ูˆุงู„ู…ูˆุธููŠู† ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ complaints ุดูƒุงูˆูŠ ู…ู†
516
+
517
+ 130
518
+ 00:10:54,220 --> 00:10:59,120
519
+ ุงู„ุฒุจุงู‚ ูˆู†ูุชุฑุถ
520
+
521
+ 131
522
+ 00:10:59,120 --> 00:11:03,220
523
+ ูˆุฑุฏ ู„ู„ุดุฑูƒุฉ ุนุฏุฉ ุดูƒุงูˆูŠ ู…ู† ุฒุจูˆู† ู…ุญู…ุฏ ู†ูุชุฑุถ ู„ู„ุงุณู
524
+
525
+ 132
526
+ 00:11:03,220 --> 00:11:07,880
527
+ ุงู„ู…ูˆุธู ู…ุญู…ุฏ ู†ูุชุฑุถ ุนู„ูŠู‡ ุนุดุฑูŠู† ุดูƒูˆุงู…ุญู…ูˆุฏ ุนู„ูŠ
528
+
529
+ 133
530
+ 00:11:07,880 --> 00:11:11,760
531
+ ุฎู…ุณุชุงุดุฑุŒ ุฃุญู…ุฏ ุนู„ูŠ ุชู„ุงุชุชุงุดุฑ ูˆ ู‡ูƒุฐุง ูˆ ู†ูุณู‡ุง ุงู„ู…ุฏูŠุฑ
532
+
533
+ 134
534
+ 00:11:11,760 --> 00:11:17,100
535
+ ุงู„ุดุฑูƒุฉ ุนุงูŠุฒ ูŠุญุณู† ู…ู† ู…ุณุชูˆู‰ ุนู„ุงู‚ุฉ ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡
536
+
537
+ 135
538
+ 00:11:17,100 --> 00:11:20,960
539
+ ู…ุน ุงู„ุฒุจุงูŠู† ูุนุทูˆู‡ู… ุฏูˆุฑุฉ ุชุฏุฑูŠุจูŠุฉ ูƒูŠู ุชุชุนุงู…ู„ ู…ุน
540
+
541
+ 136
542
+ 00:11:20,960 --> 00:11:28,100
543
+ ุงู„ุฒุจุงูŠู† ูˆ ุจุนุฏ ู…ุง ุฎู„ุตุช ุงู„ุฏูˆุฑุฉุงู„ุชู„ู‚ู‰ ุงู„ุดูƒุงูˆูŠ ูˆุนุงูŠุฒ
544
+
545
+ 137
546
+ 00:11:28,100 --> 00:11:31,940
547
+ ูŠุดูˆู ู‡ู„ ุงู„ุฏูˆุฑุฉ ุงู„ู„ู‰ ุฃุฎุฏูˆู‡ุง ุงู„ู…ูˆุธููŠู† ุงู„ู„ู‰ ุนู†ุฏู‡ ูƒุงู†ุช
548
+
549
+ 138
550
+ 00:11:31,940 --> 00:11:38,000
551
+ ู…ุงู„ู‡ุง ู…ููŠุฏุฉุŒ ูƒุงู†ุช ูุนุงู„ุฉุŒ ู…ุนู†ู‰ ูุนุงู„ุฉ ูŠุนู†ูŠ ุนุฏุฏ ุงู„ ..
552
+
553
+ 139
554
+ 00:11:38,000 --> 00:11:43,500
555
+ ุงู„ compliance ู…ุงู„ู‡ ุจุฏูŠ ู‚ู„ุŒ ู…ุด ู‡ูŠูƒุŸ ู„ุญุธุฉ ุงุญู†ุง
556
+
557
+ 140
558
+ 00:11:43,500 --> 00:11:47,040
559
+ ุจู†ุชูƒู„ู… ุนู† ู†ูุณ ุงู„ู…ุฌู…ูˆุนุฉุŒ ู†ูุณ ุงู„ู…ูˆุธููŠู† ุฃุฎุฏู†ุง
560
+
561
+ 141
562
+ 00:11:47,040 --> 00:11:51,680
563
+ compliance ุนู„ูŠู‡ู… ู‚ุจู„ ุงู„ุฏูˆุฑุฉ ูˆ ุจุนุฏ ุงู„ุฏูˆุฑุฉ ู‡ุฐุง ู…ุง
564
+
565
+ 142
566
+ 00:11:51,680 --> 00:11:54,700
567
+ ูŠู‚ูˆู„ูˆุง ุงู„ู„ู‰ ุจู†ุณู…ูŠู‡ู… related populationsุฅุฐุง ุจูƒูˆู†
568
+
569
+ 143
570
+ 00:11:54,700 --> 00:11:58,900
571
+ ุนู†ุฏู‰ one group ุจุนุฏ ูƒุฏู‡ ุจุชุชูƒู„ู… ุนู† ุงู„ related
572
+
573
+ 144
574
+ 00:11:58,900 --> 00:12:04,440
575
+ populations ูŠุนู†ูŠ ุจุนู…ู„ intervention ุชุฏุฎู„ ู…ุนูŠู† ูุจูƒูˆู†
576
+
577
+ 145
578
+ 00:12:04,440 --> 00:12:08,800
579
+ ุนู†ุฏู‰ measurements before ุงู„ treatment ุฃูˆ ุงู„
580
+
581
+ 146
582
+ 00:12:08,800 --> 00:12:12,620
583
+ intervention ูˆููŠ measurements after ุงู„ treatment
584
+
585
+ 147
586
+ 00:12:12,620 --> 00:12:18,480
587
+ ู‡ุงูŠ ุจูŠุณู…ูŠู‡ุง before and after ู‚ุจู„ ูˆ ุจุนุฏ ุฃูˆ ู…ุซุงู„
588
+
589
+ 148
590
+ 00:12:18,480 --> 00:12:24,820
591
+ ุชุงู†ูŠ ุฃูŠู‡ ู„ูŠุด ุจุชุถุญูƒุŸ ุฃูŠุด ุงู„ู„ูŠ ุจุฏุญูƒุŸู…ู…ูƒู† ู†ุถุญูƒ ู…ุน ุจุนุถ
592
+
593
+ 149
594
+ 00:12:24,820 --> 00:12:30,640
595
+ ูˆ ู†ุทู†ุด ุงู„ู…ุญุงุถุฑุฉ ุฎุงู„ุต ุฅุฐุง ููŠ ุฅุดูŠ ุจุถุญูƒ ุฃู†ุง ู…ู…ูƒู†
596
+
597
+ 150
598
+ 00:12:30,640 --> 00:12:36,560
599
+ ุฃุชูˆู‚ู ูˆ ู†ุถุญูƒ ูˆ ู†ุญูƒูŠ ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ ูˆ ุจุนุฏูŠู† ู†ูƒู…ู„ ุทูŠุจ
600
+
601
+ 151
602
+ 00:12:36,560 --> 00:12:42,520
603
+ ุฃุนุทูŠู†ูŠ example ุชุงู†ูŠ ู„ู„ .. ู„ู„ related populations
604
+
605
+ 152
606
+ 00:12:44,170 --> 00:12:47,330
607
+ ุฃุชูƒู„ู… ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุนู† ุงู„ุฃู„ุงุช ู…ุซู„ุง ู„ู…ุง ุจุฏุฃุช ุชุดูˆูู‡ุง
608
+
609
+ 153
610
+ 00:12:47,330 --> 00:12:52,230
611
+ ุงู„ุฅู†ุชุงุฌูŠุฉ ู‚ุจู„ ู…ุง ุฃุนู…ู„ ุชู‚ู†ูŠุงุช ุฌุฏูŠุฏุฉ ุจุงู„ุขู„ุฉ ูˆ ุจุนุฏุŸ
612
+
613
+ 154
614
+ 00:12:52,230 --> 00:12:54,410
615
+ ู…ู…ุชุงุฒุฉ ูŠุนู†ูŠ ู†ูุทุฑุฉ ุนู†ุฏู‡ุง ุขู„ุงุช ู‚ุฏูŠู…ุฉ ุจุชู†ุชุฌ ู…ุซู„ุง
616
+
617
+ 155
618
+ 00:12:54,410 --> 00:13:00,330
619
+ ู…ุญุตูˆู„ ู…ุนูŠู† ู…ุซู„ุง ุนุตุฑ ุงู„ุฒูŠุชูˆู† ูˆ ุงุณุชุฎุฏู…ุช ู…ูƒูŠู†ุงุช ู‚ุฏูŠู…ุฉ
620
+
621
+ 156
622
+ 00:13:00,330 --> 00:13:03,390
623
+ ุฅุฐุง ู†ูุทุฑุฉ ุฏู„ ุงู„ู…ุตู†ุน ุฌุงุจ ู…ูƒูŠู†ุงุช ุฌุฏูŠุฏุฉ ูˆ ุนุงูŠุฒ ุชุดูˆู
624
+
625
+ 157
626
+ 00:13:03,390 --> 00:13:06,850
627
+ ู‡ู„ ุงู„ู…ูƒูŠู†ุงุช ุงู„ุฌุฏูŠุฏุฉ ุฃุนุทุช ู…ุชูˆุณุท ุฅู†ุชุงุฌ ุฃูุถู„ ูˆู„ุง ู„ุง
628
+
629
+ 158
630
+ 00:13:06,850 --> 00:13:12,320
631
+ ุฃูˆ ุนู„ู‰ ุงู„ scores ู†ูุทุฑุฉ ุงู„ุทุงู„ุจ ุฃุฎุฏ ุงู…ุชุญุงู† ู…ุนูŠู†ูˆ
632
+
633
+ 159
634
+ 00:13:12,320 --> 00:13:15,840
635
+ ุฃุฎุฏุช ุฏุฑุฌุฉ ู…ุนูŠู†ุฉุŒ ู†ูุทุช ู„ 40 ุทุงู„ุจุŒ ุจุนุฏูŠู† ุบูŠุฑู†ุง
636
+
637
+ 160
638
+ 00:13:15,840 --> 00:13:18,040
639
+ ุงู„ุงุณู„ูˆุจุŒ ุตุงุฑ ุงู„ุทุงู„ุจ ุจูŠุงุฎุฏ ุงู„ quizzes, homework,
640
+
641
+ 161
642
+ 00:13:18,360 --> 00:13:22,060
643
+ assignments ูˆ ูƒุฐุง ูˆ ุนุงุฏูŠ ุฃุดูˆู ุงู„ุงุณู„ูˆุจ ุงู„ุฌุฏูŠุฏุŒ ุงู„
644
+
645
+ 162
646
+ 00:13:22,060 --> 00:13:24,980
647
+ new technique ุฃูˆ new teaching method ุฅูŠู‡ ุงู„ู„ูŠ ูƒุงู†
648
+
649
+ 163
650
+ 00:13:24,980 --> 00:13:31,220
651
+ improvement ุนู„ู‰ ุงู„ scores ูˆู„ุง ู„ุฃุŒ ุจุชุงู… ุณู†ุฉ before
652
+
653
+ 164
654
+ 00:13:31,220 --> 00:13:35,860
655
+ and afterูˆุงุถุญ ู‡ุฐุง ุงู„ู…ูู‡ูˆู… ุงู„ related ุงู„
656
+
657
+ 165
658
+ 00:13:35,860 --> 00:13:38,540
659
+ independent ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ูƒุงู† ุนุจุงุฑุฉ ุนู† two
660
+
661
+ 166
662
+ 00:13:38,540 --> 00:13:41,880
663
+ groups before .. ู…ุงูƒุงู†ุด before ูˆ after ูƒุงู†
664
+
665
+ 167
666
+ 00:13:41,880 --> 00:13:45,400
667
+ ู…ุฌู…ูˆุนุชูŠู‡ุง ู…ุซู„ุง ู…ุฌู…ูˆุนุฉ ุงู„ stacks ุชุจุน ู†ูŠุณ ูˆ ุงู„ stack
668
+
669
+ 168
670
+ 00:13:45,400 --> 00:13:49,040
671
+ ุจุชุงุนุฉ ู†ุงุณุชุงูƒุŒ ุงุชู†ูŠู† ู…ุฎุชู„ูุงุช ุฃูˆ ุจุฏู‡ ุงู‚ุงุฑู† ุจุฑู†ุงู…ุฌุงุช
672
+
673
+ 169
674
+ 00:13:49,040 --> 00:13:52,440
675
+ ุทู„ุงุจ ูˆ ุทุงู„ุจุงุช males and femalesุŒ ูˆุงุถุญุŸ ูููŠ ุนู†ุฏูŠ
676
+
677
+ 170
678
+ 00:13:52,440 --> 00:13:55,360
679
+ ู…ุฌู…ูˆุนุชูŠู†ุŒ ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู…ุฌู…ูˆุนุชูŠู† ู…ุน ูƒุฏู‡ ู…ุฌู…ูˆุนุฉ
680
+
681
+ 171
682
+ 00:13:55,360 --> 00:13:58,060
683
+ ุงู„ุฃูˆู„ู‰ ู…ุงุจุชุฃุซุฑุด ุนู„ู‰ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุชุงู†ูŠุฉุŒ ู„ูƒู† ู‡ู†ุงูƒ
684
+
685
+ 172
686
+ 00:13:58,060 --> 00:14:02,980
687
+ ู…ุงูŠูƒูˆู†ุด ูู‚ุท ู…ุฌู…ูˆุนุฉ ูˆุงุญุฏุฉุŒ ุฎู„ุงุตุŸ ูˆุงุถุญุŒ ู†ุญูƒูŠ ุนู„ูŠู‡ุงุŸ
688
+
689
+ 173
690
+ 00:14:22,130 --> 00:14:34,650
691
+ ุฅุฐุง related populations ุจู†ุณู…ูŠู‡ุง
692
+
693
+ 174
694
+ 00:14:34,650 --> 00:14:44,110
695
+ ุงู„ beard difference test ุงู„ beard difference
696
+
697
+ 175
698
+ 00:14:44,110 --> 00:14:47,590
699
+ test
700
+
701
+ 176
702
+ 00:14:50,900 --> 00:14:54,820
703
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ูˆุถุน ู†ุญู† ู†ุฌุฑุจ ู…ุตุงุฏุฑ ุงุฒูˆุงุฌ ู…ุชู‚ุงุจู„ุฉ ู…ู†
704
+
705
+ 177
706
+ 00:14:54,820 --> 00:15:02,620
707
+ ุงุซู†ูŠู† ุจูŠุฑุฏ ุงุฒูˆุงุฌ ุงูˆ ุงุฒูˆุงุฌ ู…ุชู‚ุงุจู„ุฉ ุงู…ุง ุนู„ู‰ ุดูƒู„
708
+
709
+ 178
710
+ 00:15:02,620 --> 00:15:06,540
711
+ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
712
+
713
+ 179
714
+ 00:15:06,540 --> 00:15:09,560
715
+ ุงู…ุง
716
+
717
+ 180
718
+ 00:15:09,560 --> 00:15:12,320
719
+ ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„
720
+
721
+ 181
722
+ 00:15:12,320 --> 00:15:13,760
723
+ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
724
+
725
+ 182
726
+ 00:15:13,760 --> 00:15:13,880
727
+ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰
728
+
729
+ 183
730
+ 00:15:13,880 --> 00:15:13,880
731
+ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„
732
+
733
+ 184
734
+ 00:15:13,880 --> 00:15:14,100
735
+ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
736
+
737
+ 185
738
+ 00:15:14,100 --> 00:15:14,100
739
+ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰
740
+
741
+ 186
742
+ 00:15:14,100 --> 00:15:17,320
743
+ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุงู…ุง
744
+
745
+ 187
746
+ 00:15:19,750 --> 00:15:24,970
747
+ use difference between paired values ูุจุงุฎุฏ this
748
+
749
+ 188
750
+ 00:15:24,970 --> 00:15:28,850
751
+ symbol ุฏูŠ ุฏูŠ
752
+
753
+ 189
754
+ 00:15:28,850 --> 00:15:33,330
755
+ ุนุจุงุฑุฉ ุนู† ุงู„ first measure
756
+
757
+ 190
758
+ 00:15:33,330 --> 00:15:40,610
759
+ minus second one four and after either after minus
760
+
761
+ 191
762
+ 00:15:40,610 --> 00:15:45,730
763
+ four ูŠุนู†ูŠ ุจุงุฎุฏ ู‚ุจู„ ู†ู‚ุต ุจุนุฏ ุฃูˆ ุจุนุฏ ู†ู‚ุต ู‚ุจู„ ู…ุด ู…ุดูƒู„ุฉ
764
+
765
+ 192
766
+ 00:15:45,730 --> 00:15:49,150
767
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุจุณ ุจุฏูŠ positive ุชุตูŠุฑ negative sign
768
+
769
+ 193
770
+ 00:15:52,790 --> 00:16:00,270
771
+ ู„ู…ุง ุจุงุฎุฏ pair differences ู‡ุฐุง ุจูŠู‚ู„ู„ ุฃูˆ
772
+
773
+ 194
774
+ 00:16:00,270 --> 00:16:06,870
775
+ ุญุชู‰ ุจุญุฏุซ ุงู„ุงุฎุชู„ุงู ุจูŠู† ุงู„ุฃุดุฎุงุต ุงู„ assumptions ุงู„
776
+
777
+ 195
778
+ 00:16:06,870 --> 00:16:10,590
779
+ differences ุฏูˆู„ are normally distributed ุชูˆุฒูŠุญู‡ู…
780
+
781
+ 196
782
+ 00:16:10,590 --> 00:16:15,300
783
+ ุทุจูŠุนูŠุฃูˆ if not normal use large samples ุฒูŠ ู…ุง
784
+
785
+ 197
786
+ 00:16:15,300 --> 00:16:18,380
787
+ ุญูƒูŠู†ุง ููŠ ุงู„ุฃูˆู„ ูˆุงุญุฏุฉ ู…ู† ุงู„ assumptions ูƒุงู†ุช normal
788
+
789
+ 198
790
+ 00:16:18,380 --> 00:16:22,900
791
+ distribution or the sample size is at least 30 ู†ูุณ
792
+
793
+ 199
794
+ 00:16:22,900 --> 00:16:31,880
795
+ ุงู„ุฌุซุฉ ู‡ู†ุง ุทุจ ู…ุด ู‡ู†ุนู…ู„ ูƒู„ู‡ ู‡ู†ุนู…ู„ ุงู„ุชุงู„ูŠ ุฃุดุชุฑ ุนู„ู‰ ุงู„
796
+
797
+ 200
798
+ 00:16:31,880 --> 00:16:39,600
799
+ differences ุฃุทู„ุน ุงู„ mean ู„ู‡ู… ูˆุจุนุฏูŠู†
800
+
801
+ 201
802
+ 00:16:39,600 --> 00:16:46,960
803
+ ุฃุทู„ุน ุงู„ standard deviation ู„ู‡ู…ู‡ุชุทู„ู‚ ุงู„ู…ูŠู†ุŸ ูˆ ุงู„
804
+
805
+ 202
806
+ 00:16:46,960 --> 00:16:51,120
807
+ standard deviation
808
+
809
+ 203
810
+ 00:16:51,120 --> 00:16:58,660
811
+ of the differences ู‡ุชุงุฎุฏ ุงู„ exam ุงู„ู„ูŠ ุจู‚ู‰ ุดูˆูŠุฉ
812
+
813
+ 204
814
+ 00:16:58,660 --> 00:17:03,360
815
+ ุนู„ูŠู‡ ุทุจ ุจู‚ู‰ ู‡ุชุทู„ู‚ ุงู„ู…ูŠู†ุŸ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ู…ุฌู…ูˆุนุฉ ู‡ู…
816
+
817
+ 205
818
+ 00:17:03,360 --> 00:17:08,670
819
+ ุนู„ู‰ ุนุฏุฏู‡ู…ูˆ ุงู„ S ุจุชุฐูƒุฑ ู‚ู†ูˆุฉ ุงู„ S ุฃูˆ ุงู„ุญุฑุงู ุงู„ู…ุนูŠุงุฑุฉ
820
+
821
+ 206
822
+ 00:17:08,670 --> 00:17:14,050
823
+ ูƒุงููŠุฉ ู„ูˆ ุจู‚ู‰ ู„ุงุฎุฏู‡ุง sum X minus X bar over N minus
824
+
825
+ 207
826
+ 00:17:14,050 --> 00:17:20,310
827
+ one ู…ุด ู‡ูŠูƒ ูˆ ู†ูุณู‡ ุงู„ูŠูˆู… ุจุณ ุจุฏู„ X ู‡ุงุฎุฏู‡ุงุด D ุงู„ู„ูŠ ู‡ูˆ
828
+
829
+ 208
830
+ 00:17:20,310 --> 00:17:28,950
831
+ differences ูู‡ุฐุง ุจุฏู„ู‡ ู‡ูƒูˆู† ู‡ูŠูƒ summation D minus
832
+
833
+ 209
834
+ 00:17:28,950 --> 00:17:35,990
835
+ D bar squared over N minus oneูƒู„ ู…ุง ุณู†ูุนู„ู‡ ู‡ูˆ ู†ุฎุฑุฌ
836
+
837
+ 210
838
+ 00:17:35,990 --> 00:17:40,330
839
+ ุงู„ุงุฎุชู„ุงูุงุช ุงู„ู„ูŠ ู‡ูˆ before ู†ุฎุต after for example
840
+
841
+ 211
842
+ 00:17:40,330 --> 00:17:53,110
843
+ ู†ูุชุฑุถ ุฃุฎุฏ ุดุนุฑ ุณุฑูŠุน ู‡ูƒุฐุง IX1 before Y after ู†ูุชุฑุถ
844
+
845
+ 212
846
+ 00:17:53,110 --> 00:17:57,190
847
+ ุงู„ุดุฎุต ุงู„ุฃูˆู„ ูƒุงู†
848
+
849
+ 213
850
+ 00:17:57,190 --> 00:18:02,090
851
+ ุนุดุฑุฉ ุนู„ูŠูƒู… complaints ู†ูุชุฑุถ ุตุงุฑูˆุง ุชู…ุงู†ูŠุฉ ุงู„ุชุงู†ูŠุฉ
852
+
853
+ 214
854
+ 00:18:02,090 --> 00:18:07,790
855
+ ูƒุงู†ุช ุชุณุนุฉ ุตุงุฑุช ุชุณุนุฉุงู„ุชุงู„ุช ู†ูุชุฑุถ 12 ุตุงุฑูˆุง 8 ูˆ ู‡ูƒุฐุง
856
+
857
+ 215
858
+ 00:18:07,790 --> 00:18:16,670
859
+ ู†ูุชุฑุถ ุนู†ุฏู‡ 10 ุดุฎุต 14 ุตุงุฑูˆุง 13 ูˆ ู†ูุชุฑุถ ุงู„ุดุฎุต ุงู„ุฑุงุจุน
860
+
861
+ 216
862
+ 00:18:16,670 --> 00:18:24,790
863
+ ูƒุงู† ุนู„ูŠู‡ุง 20 ูˆ after ู†ูุชุฑุถ ุงู†ุณุญุจ ูŠุนู†ูŠ ู…ุงู„ูˆุด ุดุบู„
864
+
865
+ 217
866
+ 00:18:24,790 --> 00:18:32,690
867
+ ุจุทู„ ุงุดุชุบู„ ูŠุนู†ูŠ ููŠ ุงู„ุฃูˆู„ ุจุฏุฃุช ุจ 10 ู…ูˆุธููŠู† ูˆ ุงู†ุชู‡ูŠุช
868
+
869
+ 218
870
+ 00:18:32,690 --> 00:18:40,960
871
+ ุจ 9ู‡ุชุนู…ู„ ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ุชุณุนุฉ ุจุณ ูŠุนู†ูŠ ุฃูŠ ุดุฎุต ุงู†ุณุญุจ
872
+
873
+ 219
874
+ 00:18:40,960 --> 00:18:45,680
875
+ ุจูŠุทู„ุน ุจุฑุง ุนู…ู„ูŠุฉ ุงู„ุญุณุงุจุงุช ูุจุทู„ุน ุงู„ difference ูƒูŠู
876
+
877
+ 220
878
+ 00:18:45,680 --> 00:18:51,420
879
+ ุจุทู„ุนู‡ู…ุŸ ุงู…ุง x2-x1 ุงูˆ x1-x2 ุชุงุฎุฏ ุงู†ุง ุงูŠูƒ x2-x1
880
+
881
+ 221
882
+ 00:18:51,420 --> 00:18:57,300
883
+ ุชู…ุงู†ูŠุฉ ุงู„ุณู„ุจ negative two ู…ุด ู‡ูŠูƒ zero negative
884
+
885
+ 222
886
+ 00:18:57,300 --> 00:19:04,220
887
+ four ู‡ุฐุง ูุงุถูŠ ุจูŠุตูŠุฑู†ูุชุฑุถ ุงู„ุดุฎุต ุงู„ุฎุงู…ุณ ูƒุงู† ุนู„ูŠู‡ 23
888
+
889
+ 223
890
+ 00:19:04,220 --> 00:19:12,520
891
+ ูƒู…ุจู„ูŠู† ูˆุตุงุฑ 26 ุงูุชุฑุถ ุฒุงุฏ plus three and so on ู‡ุฏูˆู„
892
+
893
+ 224
894
+ 00:19:12,520 --> 00:19:17,600
895
+ ุจู†ุณู…ูŠู‡ู… ุงู„ differences ุงู„ูุฑู‚ุงุช
896
+
897
+ 225
898
+ 00:19:17,600 --> 00:19:24,840
899
+ ู‡ู„ ู‡ูŠ x1 minus x2 ุงูˆ x2 minus x1 ูƒู„ ุญุงู…ู„ ู‡ูˆ just
900
+
901
+ 226
902
+ 00:19:24,840 --> 00:19:29,920
903
+ apply apply one symbol
904
+
905
+ 227
906
+ 00:19:32,540 --> 00:19:36,580
907
+ T-test for
908
+
909
+ 228
910
+ 00:19:36,580 --> 00:19:40,320
911
+ the
912
+
913
+ 229
914
+ 00:19:40,320 --> 00:19:46,420
915
+ differences ูƒู„ู†ุง
916
+
917
+ 230
918
+ 00:19:46,420 --> 00:19:52,140
919
+ ุณู†ูุนู„ู‡ุง ุณู†ุทุจู‚ ุงุฎุชุจุงุฑ T ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ Chapter 9 ุจุณ
920
+
921
+ 231
922
+ 00:19:52,140 --> 00:19:57,060
923
+ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ differences ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡
924
+
925
+ 232
926
+ 00:19:57,060 --> 00:20:01,480
927
+ ููŠ Chapter 9I just apply one sample test ู„ุฏู‰
928
+
929
+ 233
930
+ 00:20:01,480 --> 00:20:07,480
931
+ differences ุชุชุฐูƒุฑ ุช ูƒุงู†ุช ุนู…ุฑุง ุฅูŠุด ูƒุงู†ุช X bar ู†ุงู‚ุต
932
+
933
+ 234
934
+ 00:20:07,480 --> 00:20:12,360
935
+ ู„ู…ูŠูˆ ุนู„ู‰ S ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู†ู…ุดูŠูƒ ู‡ุฐุง ุงู„ test that ูƒุงู†
936
+
937
+ 235
938
+ 00:20:12,360 --> 00:20:17,320
939
+ ุดุทุฑ ุชุณุนุฉ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ ุงุนู…ู„ applying ุงู„ one
940
+
941
+ 236
942
+ 00:20:17,320 --> 00:20:21,440
943
+ sample test ู„ู…ูŠู† ู„ุฏู‰ differences ูŠุนู†ูŠ ุจุฏู„ ู…ุง ูƒุงู†ุช
944
+
945
+ 237
946
+ 00:20:21,440 --> 00:20:30,160
947
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ุณุชุจุฏู„ ุงู„ X bar ู…ู† D bar ุจุณู†ู‚ุต ู…ูŠูˆ ูˆ
948
+
949
+ 238
950
+ 00:20:30,160 --> 00:20:33,580
951
+ ู…ูŠูˆ ูŠุญูƒูˆ ุงู„ difference ูˆ ุจุนุฏ ุงู„ุงุณ ูŠุญูƒูˆ SD ุนู„ู‰ ุฌุฒุฑ
952
+
953
+ 239
954
+ 00:20:33,580 --> 00:20:37,380
955
+ ุงู„ู„ู‡ ุฅุฐุง
956
+
957
+ 240
958
+ 00:20:37,380 --> 00:20:41,000
959
+ ู…ุงููŠุด ุงุฎุชู„ุงู ุจูŠู† ุงู„ุงุชู†ูŠู† ูƒู„ ุจูŠุนู…ู„ ูˆ ุจุทู„ุน ุงู„
960
+
961
+ 241
962
+ 00:20:41,000 --> 00:20:44,940
963
+ differences and just apply the t test for these
964
+
965
+ 242
966
+ 00:20:44,940 --> 00:20:49,560
967
+ differences ุจุทุจู‚ ุงู„ test ุนู„ูŠู‡ู… ูˆ ุงู„ test statistic
968
+
969
+ 243
970
+ 00:20:49,560 --> 00:20:53,340
971
+ ู‡ูŠ D bar minus ู…ูŠูˆ D ุนู„ู‰ SD ุนู„ู‰ ุฌุฒุฑ ุงู„ู„ู‡ ุทุจุนุง ุงู„
972
+
973
+ 244
974
+ 00:20:53,340 --> 00:20:55,560
975
+ test ุชู‡ุช ู†ูุณูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ degrees of freedom
976
+
977
+ 245
978
+ 00:20:55,560 --> 00:20:57,120
979
+ ุจุชุณุงูˆูŠ ุงู„ู†ุงู‚ุต ูˆุงุญุฏุฉ
980
+
981
+ 246
982
+ 00:21:00,710 --> 00:21:03,750
983
+ ู„ู…ุง ุงู†ุง ูƒุฏู‡ ู„ูˆ ุงุชูƒู„ู… ุนู† ุงู„ pair difference test ูƒู„
984
+
985
+ 247
986
+ 00:21:03,750 --> 00:21:07,870
987
+ ู…ุง ุจู†ุดุชุฑูŠ ุนู„ูŠู‡ ู†ูุณ ุงู„ T ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ chapter 9
988
+
989
+ 248
990
+ 00:21:07,870 --> 00:21:12,490
991
+ ุงู„ุงุฎุชู„ุงู ุงู„ูˆุญูŠุฏ ุจู†ุทู„ุน ุงู„ differences ูˆ ุจู†ุดุชุฑูŠ
992
+
993
+ 249
994
+ 00:21:12,490 --> 00:21:16,770
995
+ ุนู„ูŠู‡ู… ูˆ ุงู„ differences ุฅู…ุง after ู†ู‚ุต before ุฃูˆ
996
+
997
+ 250
998
+ 00:21:16,770 --> 00:21:20,890
999
+ before ู†ู‚ุต after ุงู„ูุฑู‚ ุจุณ ููŠ ุฅุฐุง ูƒุงู†ุช positive
1000
+
1001
+ 251
1002
+ 00:21:20,890 --> 00:21:26,190
1003
+ ุจูŠุตูŠุฑ negative ุฃูˆ ุงู„ุนูƒุณ ุฎู„ุงุต ู†ุทู„ุน ุงู„ example ุทุจุนุง
1004
+
1005
+ 252
1006
+ 00:21:26,190 --> 00:21:30,600
1007
+ ุงู„ู„ูŠุงู„hypotheses ู†ูุณ ุงู„ุฌุซุฉ two-tailed upper-tailed
1008
+
1009
+ 253
1010
+ 00:21:30,600 --> 00:21:34,480
1011
+ lower-tailed ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุญู„ุฉ ุงู„ุณุงุจู‚ุฉ ุฒูŠ
1012
+
1013
+ 254
1014
+ 00:21:34,480 --> 00:21:37,140
1015
+ ู…ุง ุญูƒูŠุช ุงู„ูƒู„ุงู… ู…ุชูƒุฑุฑ ุงู„ู„ูŠ ุฃุฎุฏู‡ุง ููŠ ุชุณุนุฉ ุงู„ู„ูŠ ุฃู†ุง
1016
+
1017
+ 255
1018
+ 00:21:37,140 --> 00:21:42,640
1019
+ ุจุชุทุจู‚ู‡ ุจุณ ุจุชุทุจู‚ู‡ ุนู„ู‰ ุงู„ difference ุงู„ confidence
1020
+
1021
+ 256
1022
+ 00:21:42,640 --> 00:21:51,920
1023
+ intervals ุฏูŠ ุงุญู†ุง ุนู…ู„ู†ุง ู„ู‡ุง skip ู…ู† ุงู„ุฃูˆู„ ุงู„
1024
+
1025
+ 257
1026
+ 00:21:51,920 --> 00:21:58,210
1027
+ exam ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุงู„ู‚ุงุชู„ assume you sendyour sales
1028
+
1029
+ 258
1030
+ 00:21:58,210 --> 00:22:01,830
1031
+ people to a customer service training workshop
1032
+
1033
+ 259
1034
+ 00:22:01,830 --> 00:22:07,570
1035
+ ู…ูุชุฑุถ ุฃู†ุช ุจุชุดุชุบู„ ููŠ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ูˆู…ุณุคูˆู„ุฉ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ
1036
+
1037
+ 260
1038
+ 00:22:07,570 --> 00:22:15,270
1039
+ ู…ูˆุธููŠู† ุจูŠุดุชุบู„ูˆุง as sales people ูˆู‡ุฏูˆู„ ู…ูุชุฑุถ ุจุนุชู‡ู…
1040
+
1041
+ 261
1042
+ 00:22:15,270 --> 00:22:21,890
1043
+ ุนู„ู‰ training workshopุงู„ู‡ุง ุนู„ุงู‚ุฉ ุจูŠุดุจู‡ customer
1044
+
1045
+ 262
1046
+ 00:22:21,890 --> 00:22:26,950
1047
+ service ูƒูŠู ุชุฎุฏู… ุงู„ุฒุจุงุฆู† ุฏูˆุฑุฉ ููŠ ุงู„ skills ู„ุฎุฏู…ุฉ
1048
+
1049
+ 263
1050
+ 00:22:26,950 --> 00:22:31,230
1051
+ ุงู„ุฒุจุงุฆู† ูุจูŠุณุฃู„ has the training made a difference
1052
+
1053
+ 264
1054
+ 00:22:31,230 --> 00:22:34,390
1055
+ in the number of complaintsุŸ ู‡ู„ ู„ู…ุง ุงู„ุดุฎุต ุญุถุฑ
1056
+
1057
+ 265
1058
+ 00:22:34,390 --> 00:22:38,210
1059
+ ุงู„ุฏูˆุฑุฉ ู‡ุฐุง ุฃูˆ ุงู„ workshop ุนู…ู„ ุงุฎุชู„ุงู ููŠ ุนุฏุฏ
1060
+
1061
+ 266
1062
+ 00:22:38,210 --> 00:22:43,510
1063
+ ุงู„ุดูƒุงูˆูŠ ุงู„ู„ูŠ ุฌุช ุนู„ูŠู‡ ู‡ูˆ ู…ุด ุนุงูŠุฒ ุณูˆุงุก ูƒุงู†ุช ุฒุงุฏุช ุงูˆ
1064
+
1065
+ 267
1066
+ 00:22:43,510 --> 00:22:46,710
1067
+ ู†ู‚ุตุช ูˆุนุงูŠุฒ ูŠูƒูˆู† ููŠู‡ ูุฑู‚ ูˆู„ุง ู„ุง ุงู†ุง ุจุชูƒู„ู… ุนู„ู‰ two
1068
+
1069
+ 268
1070
+ 00:22:46,710 --> 00:22:52,550
1071
+ -thirdsูˆ ู†ูุชุฑุถ ุฃู†ูƒ ุชุฎู„ู‚ ุงู„ data ุงู„ู…ุชุจู‚ูŠุฉ ุงุนุทุงู†ูŠ ..
1072
+
1073
+ 269
1074
+ 00:22:52,550 --> 00:22:56,670
1075
+ ุทุจุนุง ุงู„ sample size ุตุบูŠุฑ ุนุณุงุณ .. ุฃุนุฑู ุฃุญุณุจ ู„ุฅู† ู‡ูŠ
1076
+
1077
+ 270
1078
+ 00:22:56,670 --> 00:23:01,970
1079
+ ุจุฏู‡ุง ุญุณุงุจุงุช ูุฃุนุทุงู†ูŠ ุงู„ sales person five people ุงูˆ
1080
+
1081
+ 271
1082
+ 00:23:01,970 --> 00:23:05,210
1083
+ five sales people ูˆ ุงุนุทุงู†ูŠ number of complaints
1084
+
1085
+ 272
1086
+ 00:23:05,210 --> 00:23:10,370
1087
+ ุงู„ุดุฎุต ุงู„ุฃูˆู„ ูƒุงู† ุนู„ูŠู‡ ุณุชุฉ ุจุนุฏ ุงู„ training workshop
1088
+
1089
+ 273
1090
+ 00:23:10,370 --> 00:23:15,230
1091
+ ุตุงุฑ ุฃุฑุจุนุฉ ูŠุนู†ูŠ ูˆุถุน ุงุชุญุณู† ู…ุด ู‡ูŠ ุงู„ ten ูƒุงู† ุนู„ูŠู‡
1092
+
1093
+ 274
1094
+ 00:23:15,230 --> 00:23:22,880
1095
+ ุนุดุฑูŠู† ุตุงุฑ ุณุชุฉุดูˆู ุฏุงูŠู…ุง ุงู„ุชุญุณู† ุจูŠุตูŠุฑ ู„ู„ู†ุงุณ ุงู„ู„ูŠ
1096
+
1097
+ 275
1098
+ 00:23:22,880 --> 00:23:25,100
1099
+ ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ ูƒุชูŠุฑ ุฃูƒุชุฑ ู…ู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ
1100
+
1101
+ 276
1102
+ 00:23:25,100 --> 00:23:28,900
1103
+ ุฃู‚ู„ุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ู„ูŠ ุนู„ูŠู‡ ุดูƒุงูˆูŠ ู‚ู„ูŠู„ ู‡ูˆ already
1104
+
1105
+ 277
1106
+ 00:23:28,900 --> 00:23:33,660
1107
+ ูƒูˆูŠุณ ู„ูƒู† ู„ู…ุง ูŠุงุฎุฏ ุงู„ุฏูˆุฑุฉ ุจูŠุชุญุณู† ุจุณ ุจุฑุถู‡ ูŠุนู†ูŠ ู…ุด
1108
+
1109
+ 278
1110
+ 00:23:33,660 --> 00:23:36,520
1111
+ ู‡ูŠูƒูˆู† ุงู„ูุฑู‚ ุฒูŠ ุงู„ูุฑู‚ ุงู„ุฃูˆู„ ุฒูŠ ุจุงู„ุธุจุท ุทุงู„ุจ ุจูŠูƒูˆู†
1112
+
1113
+ 279
1114
+ 00:23:36,520 --> 00:23:42,360
1115
+ ุฌุงูŠ ุจุณุชูŠู† ูˆุงุฎุฏ ุฏูˆุฑุฉ ุงูุชุฑุถ ุฃุฎุฏ ู…ุฌู…ูˆุนุฉ ุดุบู„ุงุช ุชุญุณู†
1116
+
1117
+ 280
1118
+ 00:23:42,360 --> 00:23:45,800
1119
+ ู…ุณุชูˆู‰ ู…ู…ูƒู† ูŠุตู„ ุชู…ุงู†ูŠู† ุงูˆ ู…ู…ูƒู† ุงู†ุง ุฃุฑุชูุน ู…ู† ุณุชูŠู†
1120
+
1121
+ 281
1122
+ 00:23:45,800 --> 00:23:50,900
1123
+ ู„ุชู…ุงู†ูŠู†ู„ูƒู† ู„ูˆ ูˆุงุญุฏ ุฌุงุจ ุชู…ุงู†ูŠู† ุตุนุจ ุตูŠุฑ ู…ูŠุฉ ู…ู…ูƒู†
1124
+
1125
+ 282
1126
+ 00:23:50,900 --> 00:23:54,580
1127
+ ูŠุฌูŠุจ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู†ุŒ ุชุณุนูŠู†ุŒ ุฃุฒู‡ุงุฑ ูุชู„ุงุญุธ ู…ุซู„ุง ุงู„ุดุฎุต
1128
+
1129
+ 283
1130
+ 00:23:54,580 --> 00:23:57,680
1131
+ ุงู„ู„ูŠ ูƒุงู† ูŠุนู†ูŠ ุนุดุฑูŠู† complaint ุตุงุฑ ุณุชุฉ it makes
1132
+
1133
+ 284
1134
+ 00:23:57,680 --> 00:24:01,820
1135
+ sense ู„ุฃู† ู‡ูˆ ุนู„ูŠู‡ ู…ุดุงูƒู„ ูƒุชูŠุฑ ูุงู„ุฏูˆุฑุฉ ู‡ุฏุจุช ูˆุญุณู†ุช ู…ู†
1136
+
1137
+ 285
1138
+ 00:24:01,820 --> 00:24:06,320
1139
+ ุชุนุงู…ู„ ุทุจุนุง ุงู„ู„ูŠ ูƒุงู† ุชู„ุงุชุฉ ุตุงุฑุช ุงุชู†ูŠู† ุงู„ู„ูŠ ู…ุงุนู„ู‡ูˆุด
1140
+
1141
+ 286
1142
+ 00:24:06,320 --> 00:24:13,540
1143
+ ู…ู…ูƒู† ูŠุฒูŠุฏ ูˆ ุงู„ู„ูŠ ูƒุงู† ุนู„๏ฟฝ๏ฟฝู‡ ุฃุฑุจุนุฉ ุตุงุฑ ุนู„ูŠู‡ ุณูุฑ ู‡ุฐุง
1144
+
1145
+ 287
1146
+ 00:24:13,540 --> 00:24:18,070
1147
+ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ fourtraining
1148
+
1149
+ 288
1150
+ 00:24:18,070 --> 00:24:23,230
1151
+ workshop ูˆ after ุงู„ training ุฅูŠุด ูƒู„ู‡ ู‡ู†ุนู…ู„ู‡ as
1152
+
1153
+ 289
1154
+ 00:24:23,230 --> 00:24:30,650
1155
+ first step ุฃูˆู„ ุฎุทูˆุฉ ุจุทู„ุน ุงู„ differences ูˆ ุฒูŠ ู…ุง
1156
+
1157
+ 290
1158
+ 00:24:30,650 --> 00:24:35,810
1159
+ ุญูƒูŠุช ุงู„ difference ุฅู…ุง ุจุทู„ุนู‡ุง after ู†ู‚ุต before ุฃูˆ
1160
+
1161
+ 291
1162
+ 00:24:35,810 --> 00:24:39,850
1163
+ before ู†ู‚ุต after ุฅุฐุง
1164
+
1165
+ 292
1166
+ 00:24:39,850 --> 00:24:43,570
1167
+ ู‡ูŠ before ูˆ ู‡ูŠ after
1168
+
1169
+ 293
1170
+ 00:24:47,880 --> 00:24:51,060
1171
+ ุงู„ู€ 6 ูˆ 4 ู‡ูŠ ุงู„ู€ difference ุงู„ู„ูŠ ู‡ูŠ after ู‡ูŠุงุฎุฏู‡ุง
1172
+
1173
+ 294
1174
+ 00:24:51,060 --> 00:24:56,580
1175
+ ู†ู‚ุต before minus
1176
+
1177
+ 295
1178
+ 00:24:56,580 --> 00:25:03,580
1179
+ 10 ู…ุด ู‡ูŠูƒ 4 ู†ู‚ุต 6 ุงู„ุดุฎุต ุงู„ุชุงู†ูŠ 20 ูˆุตุงุฑ 6 negative
1180
+
1181
+ 296
1182
+ 00:25:03,580 --> 00:25:15,460
1183
+ 14 3 2 minus 1 0 0 ุฃูƒูŠุฏ 0 ุฃุฎุฑ ูˆุงุญุฏ 4 0 negative
1184
+
1185
+ 297
1186
+ 00:25:19,580 --> 00:25:26,860
1187
+ ู‡ุฏูˆู„ ุงู„ differences ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ู… ุจุนู…ู„ู‡ู… one
1188
+
1189
+ 298
1190
+ 00:25:26,860 --> 00:25:30,560
1191
+ sample t-test ูƒู„ ุญุงุฌุฉ ุนุงู…ู„ุฉ ู‡ุชุทู„ุน ุฏูŠ barุŒ ุจู†ุงุฑููŠ
1192
+
1193
+ 299
1194
+ 00:25:30,560 --> 00:25:34,080
1195
+ ุฃุทู„ุน ุฏูŠ bar ู…ุด ุดูŠุก ุฃู†ุง ุฃุนู…ู„ ูƒุฏู‡ ุนู„ู‰ ุงู„ Excel ุนุดุงู†
1196
+
1197
+ 300
1198
+ 00:25:34,080 --> 00:25:36,000
1199
+ ู†ุชุฃูƒุฏ ุจุณ ู…ู† ุงู„ุฅุฌุงุจุงุช ุงู„ู…ูˆุฌูˆุฏุฉ
1200
+
1201
+ 301
1202
+ 00:25:50,860 --> 00:26:02,220
1203
+ ู„ุญุธุฉ ุงู†ุง ูƒู„ ุญุงุฌุฉ ุงุนู…ู„ู‡ ู‡ุงุฎุฏ ุงู„ differences ุงู„ู„ูŠ
1204
+
1205
+ 302
1206
+ 00:26:02,220 --> 00:26:10,680
1207
+ ู‡ู… ุงู„ negative two ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒุฏู‡ุด ู†ู‚ุต 14 ุจุนุฏูŠู†
1208
+
1209
+ 303
1210
+ 00:26:10,680 --> 00:26:18,720
1211
+ ุณู„ุจ 1 ุณู„ุจ 4 ู‡ุทู„ุน
1212
+
1213
+ 304
1214
+ 00:26:18,720 --> 00:26:19,400
1215
+ ุงู„ู…ูŠู† ุงู„ู„ูŠ ู‡ู…
1216
+
1217
+ 305
1218
+ 00:26:33,240 --> 00:26:40,920
1219
+ -4.2 ุงู„ู…ูŠู† ุงู„ู„ูŠ ุจุฌู…ุน ู‡ุฏูˆู„ ุจุฌุณู… ุงู„ุนุฏุฏ ูˆ negative
1220
+
1221
+ 306
1222
+ 00:26:40,920 --> 00:26:45,520
1223
+ two ูˆ negative fourteen ูˆ negative one ูˆ zero ูˆ
1224
+
1225
+ 307
1226
+ 00:26:45,520 --> 00:26:47,560
1227
+ negative four ุนู„ู‰ five
1228
+
1229
+ 308
1230
+ 00:26:52,960 --> 00:26:56,220
1231
+ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ุจู‚ู‰ ุจุชุทู„ุน ุงู„ standard deviation ุญุณุจ
1232
+
1233
+ 309
1234
+ 00:26:56,220 --> 00:27:03,880
1235
+ ุงู„ู‚ุงู†ูˆู† summation ุงู„ D ุนู„ู‰ ุงู„ ู†ู‚ุต ูˆุงุญุฏ under
1236
+
1237
+ 310
1238
+ 00:27:03,880 --> 00:27:08,700
1239
+ square root ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ D ู…ูˆุฌูˆุฏุฉ ุนู†ุฏ ู…ุดุงูƒ ุจุนู…ู„ ุฃูˆู„
1240
+
1241
+ 311
1242
+ 00:27:08,700 --> 00:27:16,680
1243
+ ุจุทู„ุน ุงู„ D ู†ู‚ุต D bar ุชุฑุจูŠุน ุจุงุฎุฏ ู‡ุฐู‡ ุงู„ุณู„ุจ 2 ู†ู‚ุต 4.2
1244
+
1245
+ 312
1246
+ 00:27:16,680 --> 00:27:24,220
1247
+ ูˆ ุจุฑุจุญู‡ุงุŒ ู…ุธุจูˆุทุŸ ุจุนุฏูŠู† ู†ู‚ุต 14 ุณู„ุจ 4.2 ูˆ ุจุฑุจุญู‡ุงุฃู‡
1248
+
1249
+ 313
1250
+ 00:27:24,220 --> 00:27:29,460
1251
+ ุจูŠุตูŠุฑ ุฒุงุฆุฏ ุจุนุฏูŠู† ู‡ูŠ ุงู„ุตูุฑ ุงู„ุณุงู„ุจ ุจูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุฒุงุฆุฏ
1252
+
1253
+ 314
1254
+ 00:27:29,460 --> 00:27:32,640
1255
+ ุจุนุฏูŠู†
1256
+
1257
+ 315
1258
+ 00:27:32,640 --> 00:27:37,620
1259
+ ุงู„ุณุงู„ุจ ุฃุฑุจุนุฉ ุฒุงุฆุฏ ูุจู‚ู‰ ุณุงู„ุจ ุณุงู„ุจ ู…ูˆุฌุจ ุงู„ D ู†ู‚ุต D
1260
+
1261
+ 316
1262
+ 00:27:37,620 --> 00:27:43,280
1263
+ bar ุงู„ D bar ุณุงู„ุจ ู„ูˆ ุนู…ู„ุช ู‡ูŠูƒ ููŠ ุงู„ุขุฎุฑ ุงู„ุฌูˆุงุจ
1264
+
1265
+ 317
1266
+ 00:27:43,280 --> 00:27:52,680
1267
+ ู‡ูŠุทู„ุน ู…ุนูŠ ุงู„ standard deviation ุงู„ู‚ูŠุงู…
1268
+
1269
+ 318
1270
+ 00:27:55,180 --> 00:28:00,080
1271
+ 5.67 ุณู‡ู„
1272
+
1273
+ 319
1274
+ 00:28:00,080 --> 00:28:05,500
1275
+ ุชุญุณุจูŠู‡ู…ุŒ ู…ุด ู‡ูŠูƒ ู„ุญุธุฉ ุงู„ values ู„ู„ difference are
1276
+
1277
+ 320
1278
+ 00:28:05,500 --> 00:28:08,980
1279
+ negative ู„ูƒู† ุงู„ standard deviation ู…ุงู„ู‡ positive
1280
+
1281
+ 321
1282
+ 00:28:08,980 --> 00:28:13,060
1283
+ ุฏุงุฆู…ุง ุงู„ standard deviation is non negative ุฏุงุฆู…ุง
1284
+
1285
+ 322
1286
+ 00:28:13,060 --> 00:28:18,020
1287
+ ุงู„ S ุฃูƒุจุฑ ู…ู† ุณูˆู‰ ุตูุฑ ุฃูƒูŠุฏ ููŠ ุนูŠูˆู† ุงู„ุชุฑุจูŠุฉ ู…ูˆุฌูˆุฏุฉ
1288
+
1289
+ 323
1290
+ 00:28:18,020 --> 00:28:23,850
1291
+ ู…ุธุจูˆุท ูู‚ู„ุช ู„ู‡ุง ุฃูƒูŠุฏ ู‡ูŠุทู„ุน ู…ูˆุฌุฉ ุทูŠุจ ุงู„ุขู† ุญุณุจุชุงู„ู€ D
1292
+
1293
+ 324
1294
+ 00:28:23,850 --> 00:28:28,090
1295
+ bar negative 4.2 ูˆ ุงู„ู€ SD 5.67 ู…ุงู‡ูŠ ุงู„ุณุจุจ ุงู„ู„ูŠ
1296
+
1297
+ 325
1298
+ 00:28:28,090 --> 00:28:38,050
1299
+ ุจุนุฏู‡ุง ุจุชุทู„ุน T test T statistic ุนุดุงู† ุงุทู„ุน ู‡ูŠ ุนุจุงุฑุฉ
1300
+
1301
+ 326
1302
+ 00:28:38,050 --> 00:28:44,390
1303
+ ุนู† D bar minus Mu D ุนู„ู‰ S ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ู‡ูˆ ููŠ ุงู„ู…ุซู„
1304
+
1305
+ 327
1306
+ 00:28:44,390 --> 00:28:49,150
1307
+ ุงู„ู„ูŠ ุญูƒู‰ has the training made a difference in the
1308
+
1309
+ 328
1310
+ 00:28:49,150 --> 00:28:55,370
1311
+ number of complaintsู…ุน ูƒุฏู‡ ุงู„ู…ูŠูˆ ุฏูŠ ุจูŠุตูˆู… ุตูุฑ ู„ุฅู†
1312
+
1313
+ 329
1314
+ 00:28:55,370 --> 00:29:02,250
1315
+ ู…ุงููŠุด ูุฑู‚ against there is a difference ุทุจุนุง ุงุญู†ุง
1316
+
1317
+ 330
1318
+ 00:29:02,250 --> 00:29:07,290
1319
+ ุฃุฎุฏู†ุง ุงู„ D ุฃูุถู„ ู†ู‚ุต ู…ู† ููˆู‚ ู„ุฅู† ุงู„ D statistic
1320
+
1321
+ 331
1322
+ 00:29:07,290 --> 00:29:17,270
1323
+ ู‡ุชุณุงูˆูŠ ุงู„ D bar negative 4.2 ุงู„ S D 5.67 ูˆ ุงู„ N
1324
+
1325
+ 332
1326
+ 00:29:17,270 --> 00:29:18,750
1327
+ ูƒู„ู‡ู… ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ ู‡ู… ุงู„ุฎู…ุณุฉ
1328
+
1329
+ 333
1330
+ 00:29:22,910 --> 00:29:31,150
1331
+ ุจุทูุน ุงู„ุฌูˆุงุจ negative 1.66 ุฅุฐุง step one ุจุนู…ู„
1332
+
1333
+ 334
1334
+ 00:29:31,150 --> 00:29:35,250
1335
+ computations ู„ู„ differences ูˆ ุจุทู„ุน ุงู„ D bar ูˆ ุงู„
1336
+
1337
+ 335
1338
+ 00:29:35,250 --> 00:29:39,570
1339
+ SD second step compute the value of the statistic
1340
+
1341
+ 336
1342
+ 00:29:39,570 --> 00:29:45,950
1343
+ ุงู„ู„ูŠ ุจุนุฏ ุฏู‡ ุจุทู„ุน ุงู„ critical values ุทุจ ูˆุงุถุญ ุฃู†ูŠ
1344
+
1345
+ 337
1346
+ 00:29:45,950 --> 00:29:49,990
1347
+ ุนู†ุฏูŠ two tailed test ู…ุด ู‡ูŠูƒDegrees of freedom N-1
1348
+
1349
+ 338
1350
+ 00:29:49,990 --> 00:30:01,030
1351
+ ุงู„ู€ N5-1 ุฃูƒูŠุฏ ูˆ 4 ู…ู† ุงู„ table ุจุชุทู„ุน 4.604 ูˆ minus
1352
+
1353
+ 339
1354
+ 00:30:01,030 --> 00:30:04,930
1355
+ T alpha over 2 ู†ูุณ ุงู„ู‚ูŠู…ุฉ ุจุณ ุจุงู„ negative ูุงู„
1356
+
1357
+ 340
1358
+ 00:30:04,930 --> 00:30:09,750
1359
+ critical values are 4.64 ูˆ negative 4 ู‡ุฐูŠ ุจุชุทู„ุน ู…ู†
1360
+
1361
+ 341
1362
+ 00:30:09,750 --> 00:30:17,090
1363
+ ูˆูŠู†ุŸ ุงูˆ ุฑูŠูƒูŠ ุงู„ุฌุฏูˆู„ู„ุญุธุฉ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ 4 ุฃู„ูุฉ ููŠ ู‡ุฐู‡
1364
+
1365
+ 342
1366
+ 00:30:17,090 --> 00:30:22,390
1367
+ ุงู„ุญุงู„ุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1368
+
1369
+ 343
1370
+ 00:30:22,390 --> 00:30:23,450
1371
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1372
+
1373
+ 344
1374
+ 00:30:23,450 --> 00:30:24,450
1375
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1376
+
1377
+ 345
1378
+ 00:30:24,450 --> 00:30:25,270
1379
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1380
+
1381
+ 346
1382
+ 00:30:25,270 --> 00:30:27,190
1383
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1384
+
1385
+ 347
1386
+ 00:30:27,190 --> 00:30:28,830
1387
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1388
+
1389
+ 348
1390
+ 00:30:28,830 --> 00:30:43,750
1391
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ
1392
+
1393
+ 349
1394
+ 00:30:44,770 --> 00:30:52,690
1395
+ ุฃูŠุด ุงู„ุฌูˆุงุจุŸ 4.604
1396
+
1397
+ 350
1398
+ 00:30:52,690 --> 00:30:59,610
1399
+ ููŠ ุงู„ุฃูˆู„ ู†ุฌุฏ ุงู„ degrees of freedom ุงู„ู„ูŠ ู‡ูˆ 4 ุจุนู…ู„
1400
+
1401
+ 351
1402
+ 00:30:59,610 --> 00:31:04,410
1403
+ intersection ู…ุน alpha over 2 which is 0.005 which
1404
+
1405
+ 352
1406
+ 00:31:04,410 --> 00:31:11,320
1407
+ is 4.604ูˆุงุถุญ ูƒูŠูุŸ ุฅุฐุง ู‡ุฐูˆู„ ุงู„ู€ critical values
1408
+
1409
+ 353
1410
+ 00:31:11,320 --> 00:31:15,820
1411
+ ู†ุชูุฑุฌ ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ุงุณุชุงุชูŠูƒุฒ ุชุชูุฑุฌ ููŠ ุงู„ู…ู†ุทู‚ุฉ
1412
+
1413
+ 354
1414
+ 00:31:15,820 --> 00:31:23,480
1415
+ ุงู„ุชูุฑุฌูŠุฉ ูˆุงุถุญ ุฃู† ุงู„ู€ negative 1.66 ู„ูŠุณ ุฃูƒุจุฑ ู…ู† 4
1416
+
1417
+ 355
1418
+ 00:31:23,480 --> 00:31:27,820
1419
+ ูˆู„ุง ุฃุตุฏุฑ ู…ู† negative 4.6 ูŠุนู†ูŠ ุงู„ู€ negative 1.6
1420
+
1421
+ 356
1422
+ 00:31:27,820 --> 00:31:33,800
1423
+ ุชุชูุฑุฌ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชูุฑุฌูŠุฉ ููŠ ู…ู†ุทู‚ุฉ ุนุฏู… ุงุฑูุน ูˆุงุถุญุŸ
1424
+
1425
+ 357
1426
+ 00:31:35,280 --> 00:31:39,540
1427
+ ู…ุนู†ู‰ ูƒุฏู‡ ุฅูŠุดุŸ bolt rejected zero ุฅุฐุง ุฅูŠุด
1428
+
1429
+ 358
1430
+ 00:31:39,540 --> 00:31:43,280
1431
+ conclusionุŸ there is insufficient evidence of a
1432
+
1433
+ 359
1434
+ 00:31:43,280 --> 00:31:45,980
1435
+ change in the number of complaints ู…ุงููŠุด ุฃุฏู„ุฉ ุชุฏุนู‰
1436
+
1437
+ 360
1438
+ 00:31:45,980 --> 00:31:50,320
1439
+ ุนู† ุฃู† ููŠู‡ ูุฑู‚ ููŠ ุงู„ุดูƒุงูˆูŠุฉ ุทุจ ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ training
1440
+
1441
+ 361
1442
+ 00:31:50,320 --> 00:31:54,700
1443
+ workshop ูƒุงู†ุช effective ูˆู„ุง not effectiveุŸ ู…ุคุซุฑุฉ
1444
+
1445
+ 362
1446
+ 00:31:54,700 --> 00:32:00,040
1447
+ ูˆู„ุง ุบูŠุฑ ู…ุคุซุฑุฉุŸ ู‡ูˆ ุงู„ number of complaints ู…ุงุชุบูŠุฑุดุŒ
1448
+
1449
+ 363
1450
+ 00:32:00,040 --> 00:32:02,880
1451
+ ู…ุน ูƒุฏู‡ ุบูŠุฑ ู…ุคุซุฑุฉุŒ ู…ุน ูƒุฏู‡ ุงู„ training workshop was
1452
+
1453
+ 364
1454
+ 00:32:02,880 --> 00:32:08,920
1455
+ ineffectiveู‡ู…ู„ุงุด ุชุฃุซูŠุฑ ุจุงู„ุฑุบู… ุงู† ุชู„ุงุญุธูŠ ุนู„ู‰ ุงู„
1456
+
1457
+ 365
1458
+ 00:32:08,920 --> 00:32:15,120
1459
+ data ู…ูˆุฌูˆุฏุฉ ููŠ ู†ุงุณ ู†ู‚ุตุฏ ุจุณ ูŠุนู†ูŠ ููŠ ุชุญุณู† ุจุณ ุงู„ุชุญุณู†
1460
+
1461
+ 366
1462
+ 00:32:15,120 --> 00:32:19,580
1463
+ ู…ุด ูƒุจูŠุฑ ุจุฑุถู‡ ุงู„ data ุตุบูŠุฑุฉ ู…ู‚ุฏุฑุด ุงุญูƒู… ู„ูƒู† ู‡ูŠ ูƒุงู†ุช
1464
+
1465
+ 367
1466
+ 00:32:19,580 --> 00:32:22,560
1467
+ ู…ุฌุฑุฏ example we don't reject another hypothesis
1468
+
1469
+ 368
1470
+ 00:32:22,560 --> 00:32:28,700
1471
+ means the training workshop was ineffective ูƒุงู†ุช
1472
+
1473
+ 369
1474
+ 00:32:28,700 --> 00:32:34,770
1475
+ ู…ุด ูุนุงู„ุฉุทูŠุจ ู„ูˆ ูˆุงุญุฏ ุนูƒุณ ุฅูŠุด ุนูƒุณุŸ ูŠุนู†ูŠ ุจุฏู„ ู…ุง ุฃุฎุฏ
1476
+
1477
+ 370
1478
+ 00:32:34,770 --> 00:32:42,030
1479
+ after ู†ู‚ุต before ุฃุฎุฏ before ู†ู‚ุต after ูƒู„ู‡ ู‡ูŠุฎุชู„ู
1480
+
1481
+ 371
1482
+ 00:32:42,030 --> 00:32:49,050
1483
+ ู…ุนุงู‡ ุฃู‡ ุจุณ ุงู„ุณุงู„ุจ ู‡ุฐุง ู‡ุตูŠุฑ plus ูˆุงู„ุฃุณ ุฏูŠ ุจุชุจู‚ู‰ ูƒู…ุง
1484
+
1485
+ 372
1486
+ 00:32:49,050 --> 00:32:54,050
1487
+ ู‡ูŠ ูˆ ุงู„ critical .. ูˆ ุงู„ T ู‡ุฐูŠ ุจุชุชุบูŠุฑ ู‡ุชุตูŠุฑ plusุŒ
1488
+
1489
+ 373
1490
+ 00:32:54,050 --> 00:33:00,190
1491
+ ู…ุตุจูˆุทุŸ ู‡ุฐูŠ plus ูˆ ุงู„ T alpha over two ุงู„ุชุงู…ุฉ ูƒู…ุง
1492
+
1493
+ 374
1494
+ 00:33:00,190 --> 00:33:12,310
1495
+ ู‡ูŠูˆู„ุง ู„ูˆ ุทู„ุนุช ู‡ู„ ุงู„ 1.66 ุฃู‚ู„ ู…ู† ุงู„ 4 ู„ุฃ
1496
+
1497
+ 375
1498
+ 00:33:12,310 --> 00:33:17,450
1499
+ ู…ุด ู‡ุงูƒุจุฑ ูˆู‚ุน ุจุฑุถู‡ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุฅุฐุง ู†ูุณ ุงู„ู‚ุฑุงุฑ ุฅุฐุง
1500
+
1501
+ 376
1502
+ 00:33:17,450 --> 00:33:21,230
1503
+ ุณูˆุงุก ุฎุฏุชู‡ุง before ู†ู‚ุต after ุฃูˆ after ู†ู‚ุต 4 we end
1504
+
1505
+ 377
1506
+ 00:33:21,230 --> 00:33:26,930
1507
+ with the same result ู†ู†ุชูŠุฌุฉ ุจู†ูุณ ุงู„ู†ุชุฌุฉ ุฒูŠ ู…ุนู†ุงู‡
1508
+
1509
+ 378
1510
+ 00:33:26,930 --> 00:33:31,450
1511
+ ูƒุฏู‡ ููŠ ุญุงู„ุฉ ุงู„ birth difference school ุจู†ุนู…ู„ู‡ุจุทู„ุน
1512
+
1513
+ 379
1514
+ 00:33:31,450 --> 00:33:37,310
1515
+ ุงู„ differences ูˆ ุจุดุชุฑูŠ ุนู„ูŠู‡ู… chapter 9 ู„ูŠู‡ one
1516
+
1517
+ 380
1518
+ 00:33:37,310 --> 00:33:44,090
1519
+ sample t test ูู‚ุท ูู„ุณ ู„ุบุงูŠุฉ ู‡ู†ุง ุงู† ุดุงุก ุงู„ู„ู‡ ุทุจุนุง
1520
+
1521
+ 381
1522
+ 00:33:44,090 --> 00:33:48,110
1523
+ ุงู„ slide ุงู„ุจุนุฏ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ู„ุบุงูŠุฉ ู‡ู†ุง ุจูƒูˆู† ุฎู„ุตุช ุงู„
1524
+
1525
+ 382
1526
+ 00:33:48,110 --> 00:33:53,410
1527
+ population means ุงูŠุด ุจุชุงุจ ุนู„ูŠู†ุง ุงู„ proportions ู‡ุงุฏ
1528
+
1529
+ 383
1530
+ 00:33:53,410 --> 00:33:57,950
1531
+ ุงู„ู„ูŠ ู„ู‚ุงุก ูŠูˆู… ุงู„ุณุจุช ู„ูƒู† ุงู„ quiz ุฑู‚ู… 3 ู‡ูƒูˆู† ููŠ ุงู„
1532
+
1533
+ 384
1534
+ 00:33:57,950 --> 00:34:02,500
1535
+ means ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ู„ุบุงูŠุฉ ุงู„ูŠูˆู…ูŠุนู†ูŠ ู„ู‚ุงุก ุงู„ูŠูˆู… ุฏุงุฎู„
1536
+
1537
+ 385
1538
+ 00:34:02,500 --> 00:34:05,560
1539
+ ุฎู„ุงุต ููŠ ุงูŠ ุณุคุงู„
1540
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/hJb_DQoXRBs.srt ADDED
@@ -0,0 +1,1298 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:26,610
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุจุฏุฃ ุฃูˆู„
4
+
5
+ 2
6
+ 00:00:26,610 --> 00:00:32,390
7
+ ู„ู‚ุงุก ุจุนุฏ ุฑู…ุถุงู† ูุฏุงุฆู…ุง ุฃูˆู„ ู„ู‚ุงุก ุจูŠูƒูˆู† ุฎููŠู ูู‡ู†ุงุฎุฏ
8
+
9
+ 3
10
+ 00:00:32,390 --> 00:00:36,310
11
+ ููŠ ู…ูˆุถูˆุน ุณู‡ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ two population proportions
12
+
13
+ 4
14
+ 00:00:36,310 --> 00:00:43,670
15
+ ุจุชุนุฑููˆุง ุดุจุทุฑ 9 ูˆุดุจุทุฑ 10 ุญูƒูŠู†ุง ุนู† ุดุบู„ุชูŠู† ู…ู‡ู…ุฉ ุงู„ู„ูŠ ู‡ูŠ
16
+
17
+ 5
18
+ 00:00:43,670 --> 00:00:47,590
19
+ ุงู„ู€ testing about population parameters ุฃุฎุฏู†ุง ุงู„ู€
20
+
21
+ 6
22
+ 00:00:47,590 --> 00:00:51,410
23
+ population mean one population mean ูˆุฃุฎุฏู†ุง one
24
+
25
+ 7
26
+ 00:00:51,410 --> 00:00:54,910
27
+ population proportion ุฃุฎุฏู†ุง ููŠ ุดุทุฑ ุชุณุนุฉ ุงู„ู„ูŠ
28
+
29
+ 8
30
+ 00:00:54,910 --> 00:00:58,850
31
+ ุนู…ู„ู†ุงู‡ุง ููŠ ุนุดุฑุฉ ุนู…ู„ู†ุง extension ู„ุดุทุฑ ุชุณุนุฉ ูุฃุฎุฏู†ุง
32
+
33
+ 9
34
+ 00:00:58,850 --> 00:01:02,450
35
+ two population means ูˆุฃุฎุฏู†ุงู‡ู… ุญุงู„ุชูŠู† ุชุฐูƒุฑูˆุง ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:01:02,450 --> 00:01:07,190
39
+ ู‡ูˆ ุงู„ู€ independent ูˆ ุงู„ู€ related ูˆ ู‡ุฏูˆู„ ุงุชู†ูŠู† ููŠ
40
+
41
+ 11
42
+ 00:01:07,190 --> 00:01:11,610
43
+ population means ุจูŠู„ุฒู… ูŠูƒูˆู† ุนู†ุฏูŠ ู†ูˆุน ุงู„ุจูŠุงู†ุงุช
44
+
45
+ 12
46
+ 00:01:11,610 --> 00:01:16,890
47
+ quantitative data ุจูŠุงู†ุงุช ูƒู…ูŠุฉ ู„ูˆ ูƒุงู†ุช qualitative
48
+
49
+ 13
50
+ 00:01:16,890 --> 00:01:21,720
51
+ ูŠุนู†ูŠ ุฃุณุฆู„ุฉ ุฒูŠ yes ูˆ no ุจู†ุณุชุฎุฏู… ุงู„ู€ proportions ุณูˆุงุก
52
+
53
+ 14
54
+ 00:01:21,720 --> 00:01:23,800
55
+ ูƒุงู†ุช one population of proportions ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง
56
+
57
+ 15
58
+ 00:01:23,800 --> 00:01:26,660
59
+ ููŠ ุดุทุฑ ุชุณุนุฉ ุฃูˆ two population of proportions ุงุญู†ุง
60
+
61
+ 16
62
+ 00:01:26,660 --> 00:01:31,420
63
+ ู‡ู†ุงุฎุฏู‡ ุงู„ุขู† ูุงู„ุฌูˆู„
64
+
65
+ 17
66
+ 00:01:31,420 --> 00:01:35,980
67
+ test a hypothesis or form confidence interval
68
+
69
+ 18
70
+ 00:01:35,980 --> 00:01:39,280
71
+ usually will skip confidence interval as we
72
+
73
+ 19
74
+ 00:01:39,280 --> 00:01:41,820
75
+ mentioned before so we are going just to test a
76
+
77
+ 20
78
+ 00:01:41,820 --> 00:01:47,160
79
+ hypothesis for the difference between two
80
+
81
+ 21
82
+ 00:01:47,160 --> 00:01:49,360
83
+ population proportions ุฒูŠ ู…ุง ุญูƒูŠู†ุง for the
84
+
85
+ 22
86
+ 00:01:49,360 --> 00:01:52,060
87
+ difference between two population means ู‡ู†ุง ุงุญู†ุง
88
+
89
+ 23
90
+ 00:01:52,060 --> 00:01:57,700
91
+ ุจู†ุญูƒูŠ ุนู„ู‰ ู†ูุณ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ two population
92
+
93
+ 24
94
+ 00:01:57,700 --> 00:02:04,380
95
+ proportions ูˆุงุถุญ
96
+
97
+ 25
98
+ 00:02:04,380 --> 00:02:07,500
99
+ ูุงู„ู€ two population proportions ุญูƒูŠู†ุง ุงู„ู€ pi1
100
+
101
+ 26
102
+ 00:02:07,500 --> 00:02:13,120
103
+ represents the population proportion for
104
+
105
+ 27
106
+ 00:02:13,120 --> 00:02:20,110
107
+ population number one ุงู„ุซุงู†ูŠุฉ ุงู„ู€ pi2 ู…ู…ูŠุฒุฉ ุจุงู„ู†ุณุจุฉ
108
+
109
+ 28
110
+ 00:02:20,110 --> 00:02:26,350
111
+ ู„ู„ุฌู…ู‡ูˆุฑ ุงู„ุซุงู†ูŠ ู„ู„ุฌู…ู‡ูˆุฑ ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจุชุฌุงุฑุจ ุงู„ูุฑู‚
112
+
113
+ 29
114
+ 00:02:26,350 --> 00:02:31,350
115
+ ุจูŠู† ู‡ุฐูŠู† ุงู„ุงุซู†ูŠู† ุงู„ุฌู…ู‡ูˆุฑ ุงู„ุงูุชุฑุงุถูŠุฉ ู‡ูŠ ู†ูุณู‡ุง ุงู„ุชูŠ ู‚ุฏ
116
+
117
+ 30
118
+ 00:02:31,350 --> 00:02:36,990
119
+ ุชุญุฏุซู†ุง ุนู†ู‡ุง ู‚ุจู„ู‡ุง ุงู„ุงูุชุฑุงุถูŠุฉ ู‡ูŠ N ร— pi is at
120
+
121
+ 31
122
+ 00:02:36,990 --> 00:02:44,150
123
+ least 5ูˆN ร— (1-pi) ู‡ูˆ ุฃู‚ู„ ู…ู† 5 ูˆู‡ุฐุง ู„ู„ู…ุฌุชู…ุน ุงู„ุฃูˆู„ุŒ
124
+
125
+ 32
126
+ 00:02:44,150 --> 00:02:49,570
127
+ ูˆู…ุซู„ุงู‹ ู„ู„ู…ุฌุชู…ุน ุงู„ุซุงู†ูŠุŒ ูุงู„ูˆุงุถุญ ุฃู† N ร— pi1 ู‡ูˆ ุฃู‚ู„ ู…ู†
128
+
129
+ 33
130
+ 00:02:49,570 --> 00:03:00,190
131
+ 5 ูˆN ร— (1-pi1) ู‡ูˆ ุฃูŠุถู‹ุง ุฃู‚ู„ ู…ู† 5ุŒ ู‡ุฐุง ู„ู„ุดุฎุต ู†ูุณู‡ ุงู„ุฐูŠ
132
+
133
+ 34
134
+ 00:03:00,190 --> 00:03:04,250
135
+ ูุนู„ู†ุงู‡ ููŠ ุงู„ุญู„ู‚ุฉ 9ูˆู„ูƒู† ู‡ู†ุง ู„ุฏูŠู†ุง ุนุงุฑุถุชูŠู† ุฃุนู†ูŠ ู„ุฏูŠู†ุง
136
+
137
+ 35
138
+ 00:03:04,250 --> 00:03:07,530
139
+ ุนุงุฑุถุชูŠู† ู…ุฌู…ูˆุนุงุช ู„ุฐุง ู†ุฎุชุงุฑ ุนุงุฑุถุชูŠู† ู…ุฌู…ูˆุนุงุช ุนุดูˆุงุฆูŠุฉ
140
+
141
+ 36
142
+ 00:03:07,530 --> 00:03:12,950
143
+ ู„ุฐุง ู„ุฏูŠู†ุง ุนุงุฑุถุชูŠู† ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ููŠ ูˆุงุญุฏุฉ ูˆุงู†ุชูˆุง
144
+
145
+ 37
146
+ 00:03:12,950 --> 00:03:15,930
147
+ ุฅุฐุง ุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ุจูŠ1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5
148
+
149
+ 38
150
+ 00:03:15,930 --> 00:03:18,970
151
+ ุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ูˆุงุญุฏุฉ ุฃู‚ู„ ุจูŠ1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰
152
+
153
+ 39
154
+ 00:03:18,970 --> 00:03:22,370
155
+ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ุจูŠ1 ูŠุฌุจ ุฃู†
156
+
157
+ 40
158
+ 00:03:22,370 --> 00:03:24,070
159
+ ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช
160
+
161
+ 41
162
+ 00:03:24,070 --> 00:03:26,790
163
+ ุจูŠ1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช
164
+
165
+ 42
166
+ 00:03:26,790 --> 00:03:31,620
167
+ ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ุจูŠ1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ ุฃูŠุถู‹ุง
168
+
169
+ 43
170
+ 00:03:31,620 --> 00:03:36,280
171
+ ู…ุซู„ุงู‹ ูƒู…ุง ุฐูƒุฑู†ุงู‡ ู‚ุจู„ ุฐู„ูƒ ู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
172
+
173
+ 44
174
+ 00:03:36,280 --> 00:03:39,920
175
+ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู…ู‚ุงุฑู†ุฉ ู…ุฌุชู…ุน ูˆุงุญุฏุฉ ูู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ
176
+
177
+ 45
178
+ 00:03:39,920 --> 00:03:46,060
179
+ ู…ุฌุฑุฏ p ุฅุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ู…ู‚ุงุฑู†ุฉ ู…ุฌุชู…ุนูŠู†
180
+
181
+ 46
182
+ 00:03:46,060 --> 00:03:54,180
183
+ ุซู… ู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ pi1-pi2 ูpi1-pi2 ู‡ูŠ ู…ู‚ุงุฑู†ุฉ
184
+
185
+ 47
186
+ 00:03:54,180 --> 00:03:58,300
187
+ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
188
+
189
+ 48
190
+ 00:03:58,300 --> 00:04:09,160
191
+ p1-p2ูˆุฅุฐุง ูƒู†ุง ู†ุชูƒู„ู… ุนู† p2-p1 ู…ุงู‡ูˆ ุงู„ูˆุถุน ู„ู€ p2-p1
192
+
193
+ 49
194
+ 00:04:09,160 --> 00:04:19,480
195
+ p2-p1ุŒ ูp2 ูู‚ุท ุนูƒุณ p2-p1 ูp2-p1 ู‡ูˆ ุงู„ูˆุถุน ู„ู„ู…ุฎุชู„ู
196
+
197
+ 50
198
+ 00:04:19,480 --> 00:04:21,600
199
+ p2-p1
200
+
201
+ 51
202
+ 00:04:26,990 --> 00:04:31,850
203
+ ููŠ ุงู„ุงูุชุฑุงุถูŠุฉุŒ ูƒู…ุง ุฐูƒุฑู†ุงุŒ ู„ู„ู…ุฎุชู„ู ุจูŠู†
204
+
205
+ 52
206
+ 00:04:31,850 --> 00:04:36,270
207
+ ุชุฌุงุฑุชูŠู† ูŠุนู†ูŠ ุฃู† ููŠ ุงู„ุงูุชุฑุงุถูŠุฉุŒ ู„ุง ูŠูˆุฌุฏ
208
+
209
+ 53
210
+ 00:04:36,270 --> 00:04:41,790
211
+ ุงุฎุชู„ุงู ุจูŠู† ุฃุณุงุณูŠุงุช ุงู„ู‡ุฏุงูŠุง. ุงู„ุขู†ุŒ ู†ุญู† ู…ู‡ุชู…ูˆู†
212
+
213
+ 54
214
+ 00:04:41,790 --> 00:04:47,850
215
+ ุจุงู„ุงุฎุชู„ุงู ุจูŠู† ุชุฌุงุฑุชูŠู† ูˆู…ุฌู…ูˆุนุงุช. ู„ุฐู„ูƒ, pi1-pi2 ู‡ูˆ 0.
216
+
217
+ 55
218
+ 00:04:48,250 --> 00:04:52,270
219
+ ุฃุนู†ูŠ, ุงู„ุงุฎุชู„ุงู ุจูŠู† ู‡ุฐูŠู† ู‡ูˆ 0. ุฃูˆ ู…ุซู„ุงู‹, ู‡ุฐุง ูŠู…ูƒู†
220
+
221
+ 56
222
+ 00:04:52,270 --> 00:04:58,360
223
+ ุฃู† ูŠูƒูˆู† ูƒุชุงุจ ูƒู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู„ูŠุณ ู‡ู†ุงูƒ ุงุฎุชู„ุงู ู…ู‡ู… ุจูŠู†
224
+
225
+ 57
226
+ 00:04:58,360 --> 00:05:05,260
227
+ ู…ุฌู…ูˆุนุงุช ุงู„ู†ุงุณ ู…ู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ูˆู†ุณุจุฉ ุงุซู†ู‰. ุงู„ุขู†ุŒ
228
+
229
+ 58
230
+ 00:05:05,260 --> 00:05:08,540
231
+ ู„ู„ูุฑุถูŠุฉ ุงู„ุฅู†ุชุฑู†ุช ุฃูˆ ุงู„ูุฑุถูŠุฉ ุงู„ุฅู†ุชุฑู†ุช ูƒู…ุง
232
+
233
+ 59
234
+ 00:05:08,540 --> 00:05:14,700
235
+ ุฐูƒุฑุช ู‚ุจู„ู‡ุงุŒ ู‡ู†ุงูƒ ุซู„ุงุซุฉ ู…ุฌู…ูˆุนุงุชุŒ ุฅู…ุง ู…ุฎุชุงุฑูŠู† ุฃูˆ
236
+
237
+ 60
238
+ 00:05:14,700 --> 00:05:19,340
239
+ ู…ุฎุชุงุฑูŠู†ุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ุฃู‚ู„ ู…ู† ู†ุณุจุฉ ุงุซู†ู‰
240
+
241
+ 61
242
+ 00:05:19,340 --> 00:05:23,260
243
+ ู„ูŠุณุช ุฃุฒุฑุนุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู†ุณุจุฉ ุงุซู†ู‰.
244
+
245
+ 62
246
+ 00:05:24,840 --> 00:05:29,820
247
+ ู‡ุฐุง ูŠุณู…ู‰ ุงุฎุชุจุงุฑ ู…ู† ุงู„ุทุฑููŠู† two-sided ุฃูˆ two-tailed
248
+
249
+ 63
250
+ 00:05:29,820 --> 00:05:36,920
251
+ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุขุฎุฑุŒ ู‡ู†ุงูƒ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุฃุฎุฑู‰ ูŠุณู…ู‰
252
+
253
+ 64
254
+ 00:05:36,920 --> 00:05:42,000
255
+ upper tail ูˆlower tail ุงู„ู€ upper tail ู‡ูˆ pi1
256
+
257
+ 65
258
+ 00:05:42,000 --> 00:05:47,880
259
+ ุฃู‚ู„ ู…ู† pi2 pi2 pi2 pi2 pi2 pi2
260
+
261
+ 66
262
+ 00:05:47,880 --> 00:05:52,340
263
+ pi2 pi2 pi2 pi2
264
+
265
+ 67
266
+ 00:05:52,340 --> 00:05:53,080
267
+ pi2 pi2 pi2 pi2 pi2 pi2 pi2
268
+
269
+ 68
270
+ 00:05:53,080 --> 00:05:55,060
271
+ pi2 pi2 pi2 pi2 pi2 ู‡ุฐุง ูŠุณู…ู‰ ุชุฌุงุฑุจ
272
+
273
+ 69
274
+ 00:05:55,060 --> 00:05:59,600
275
+ ุงู„ุฃุนู„ู‰ุŒ ูˆุงุถุญ ุชุฌุงุฑุจ ุงู„ุฃุนู„ู‰ ู„ุฐู„ูƒ miu1 manus miu
276
+
277
+ 70
278
+ 00:05:59,600 --> 00:06:06,920
279
+ 2 ู…ูุชูˆุญุŒ ูˆู…ุซู„ุงู‹ ู„ูƒู„ ุชุฌุงุฑุจ ุฃุณูู„ ูŠุนู†ูŠ pi1
280
+
281
+ 71
282
+ 00:06:06,920 --> 00:06:10,760
283
+ manus pi2 ู…ูุชูˆุญุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ pi1 ุฃุตุบุฑ ู…ู† pi
284
+
285
+ 72
286
+ 00:06:10,760 --> 00:06:16,260
287
+ 2ุŒ ุงู„ุขู† ุชุญุช ุงู„ู€ hypothesis ูุฅุฐุง ูƒุงู†ุช ุงู„ู€ hypothesis
288
+
289
+ 73
290
+ 00:06:16,260 --> 00:06:21,340
291
+ ุตุญูŠุญุฉุŒ ููŠ ู†ุธุฑุฉ ุงู„ู€ NULL ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ุงู„ู€ NULL ุตุญูŠุญ
292
+
293
+ 74
294
+ 00:06:21,340 --> 00:06:22,960
295
+ ู„ุฐู„ูƒ ู†ุนุชู…ุฏ ุฃู† ู†ุญู† ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
296
+
297
+ 75
298
+ 00:06:22,960 --> 00:06:25,640
299
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
300
+
301
+ 76
302
+ 00:06:25,640 --> 00:06:28,480
303
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
304
+
305
+ 77
306
+ 00:06:28,480 --> 00:06:28,720
307
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
308
+
309
+ 78
310
+ 00:06:28,720 --> 00:06:45,680
311
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
312
+
313
+ 79
314
+ 00:06:45,680 --> 00:06:51,750
315
+ ุงู„ู†ุณุจุฉ ุงู„ู…ุฌู…ุนุฉ ู„ู„ู…ุฌุชู…ุน ูƒูƒู„ ู†ุณู…ูŠู‡ุง ุจูˆู„ุช ุงุณุชู…ุชุน
316
+
317
+ 80
318
+ 00:06:51,750 --> 00:06:59,270
319
+ for the overall proportion ุงู„ู‚ุงู†ูˆู†
320
+
321
+ 81
322
+ 00:06:59,270 --> 00:07:06,090
323
+ pi dash pi dash equals x1 plus x2 over n1 plus n2
324
+
325
+ 82
326
+ 00:07:06,090 --> 00:07:11,430
327
+ for example suppose I am teaching two classes of
328
+
329
+ 83
330
+ 00:07:11,430 --> 00:07:15,330
331
+ statistics males and females
332
+
333
+ 84
334
+ 00:07:18,360 --> 00:07:22,100
335
+ and suppose the number of males is seventy number
336
+
337
+ 85
338
+ 00:07:22,100 --> 00:07:28,220
339
+ of females is hundred and my question is for each
340
+
341
+ 86
342
+ 00:07:28,220 --> 00:07:32,640
343
+ class do you prefer this courseุŸ ุจุชูุถู„ูˆุง ุงู„ู€ course
344
+
345
+ 87
346
+ 00:07:32,640 --> 00:07:37,500
347
+ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุงุฎุฏู‡ุŒ ู†ูุชุฑุถ for males twenty just prefer
348
+
349
+ 88
350
+ 00:07:37,500 --> 00:07:42,520
351
+ ุงู„ุทุจูŠุนูŠ ู…ุด ูƒุฏู‡ุŒ ุงู„ู„ูŠ ุจูุถู„ ู†ูุชุฑุถ ุงู„ู„ูŠ ุญุตู„ุช ุนุดุฑูŠู†
352
+
353
+ 89
354
+ 00:07:42,520 --> 00:07:48,370
355
+ ูˆุงุญุฏ ูˆุงู„ุทุงู„ุจุงุช ู†ูุชุฑุถ ุงู„ู„ูŠ ุจูุถู„ ุฃุฑุจุนูŠู† ูˆุงุญุฏุฉ ู†ูุชุฑุถ
356
+
357
+ 90
358
+ 00:07:48,370 --> 00:07:53,050
359
+ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ ุงู„ู„ูŠ ู„ูˆ ุนุงูŠุฒ ุฃุทู„ุน ุงู„ู€ average ู„ู„
360
+
361
+ 91
362
+ 00:07:53,050 --> 00:07:57,390
363
+ proportion ู„ู€ two classes ู…ุน ุจุนุถ together ุจูŠู†ูุนุด
364
+
365
+ 92
366
+ 00:07:57,390 --> 00:08:01,250
367
+ ุฃุญูƒูŠ ุงู„ู€ average ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุน ุฏูˆู„ ุนู„ู‰ ุงุชู†ูŠู†
368
+
369
+ 93
370
+ 00:08:01,250 --> 00:08:04,570
371
+ ุจูŠู†ูุนุด ุฃุญูƒูŠ ุฃุฑุจุนูŠู† ุฒุงุฆุฏ ุงุชู†ูŠู† ุนู„ู‰ ุงุชู†ูŠู† ุชุทู„ุน ุชู„ุงุชูŠู† ููŠ
372
+
373
+ 94
374
+ 00:08:04,570 --> 00:08:10,370
375
+ ุงู„ู…ูŠุงู„ุฉุŒ ู…ุธุจูˆุทุŸ ู„ุฃู†ู‡ ู…ุด ุฒูŠ ุจุนุถุŒ ุงู„ู€ samples ู…ุด ุฒูŠ
376
+
377
+ 95
378
+ 00:08:10,370 --> 00:08:16,300
379
+ ุจุนุถุŒ ูŠุนู†ูŠ ุจูŠู†ูุนุด ุฃุทู„ุน ุฎู„ูŠู†ูŠ ๏ฟฝ๏ฟฝุญูƒูŠ ู‡ุฐุง 35 ุจุณ ุฃุบูŠุฑู‡
380
+
381
+ 96
382
+ 00:08:16,300 --> 00:08:25,520
383
+ ุนุดุงู† ู†ุนุฑู ู†ุญุณุจ ุฎู„ูŠู‡ุง 35 ูƒูˆูŠุณ ู…ุง ูŠู†ูุนุด ุฃุญูƒูŠ ุทุงู„ุน ุงู„ู€
384
+
385
+ 97
386
+ 00:08:25,520 --> 00:08:32,900
387
+ pi1 ุทูŠุจ pi1 ุดูˆ ูŠุณุงูˆูŠุŸ x1 over n1 ู…ุด ู‡ูŠุŸ ุงู„ู„ูŠ 50% ูˆ pi2
388
+
389
+ 98
390
+ 00:08:32,900 --> 00:08:42,580
391
+ ุงู„ู„ูŠ 4 ุนู„ู‰ 100 ูŠุนู†ูŠ 0.4 ู…ุง ูŠู†ูุนุด ุฃุญุณุจ ุฅู† pi1 ู„ู„ูƒู„ ุงู„ู€
392
+
393
+ 99
394
+ 00:08:42,580 --> 00:08:47,880
395
+ pi' ู„ู„ูƒู„ ู…ุฌู…ูˆุน ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุนู„ู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ ู…ุง ูŠู†ูุนุด
396
+
397
+ 100
398
+ 00:08:47,880 --> 00:08:51,200
399
+ ุฃุญูƒูŠ ุฅู† ุงู„ู€ pi' ู†ุณุจุฉ ุงู„ุทู„ุจุฉ ุงู„ู„ูŠ ุจูŠูุถู„ ุงู„ู€
400
+
401
+ 101
402
+ 00:08:51,200 --> 00:08:56,860
403
+ statistics course ุจุชุณุงูˆูŠ ุฃุฑุจุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุฒุงุฆุฏ ุงู„ู€
404
+
405
+ 102
406
+ 00:08:56,860 --> 00:09:00,800
407
+ fifty ุนู„ู‰ ุงุชู†ูŠู† ุนู„ู‰ point four five ู‡ุฐุง ุงู„ูƒู„ุงู… ู‡ูŠูƒ
408
+
409
+ 103
410
+ 00:09:00,800 --> 00:09:06,720
411
+ ู…ุด ุตุญูŠุญ ู‡ู†ุนุฑู ููŠ ุญุงู„ุฉ ู…ุนูŠู†ุฉ ู…ู…ูƒู† ูŠูƒูˆู† ุตุญูŠุญ ุทุจ ุงูŠุด
412
+
413
+ 104
414
+ 00:09:06,720 --> 00:09:10,250
415
+ ุงู„ู€ pooled estimate ุงู„ู„ูŠ ู‡ุชู…ู„ู„ ุงู„ู€ overall proportion
416
+
417
+ 105
418
+ 00:09:10,250 --> 00:09:15,910
419
+ ุชุนุทุงู†ูŠ ูŠุนู†ูŠ ุงู„ู€ pi' ุนุจุงุฑุฉ ุนู† ุงูŠุด number of students
420
+
421
+ 106
422
+ 00:09:15,910 --> 00:09:20,890
423
+ who prefer this course either males and females
424
+
425
+ 107
426
+ 00:09:20,890 --> 00:09:24,650
427
+ divided by number of males plus number of females
428
+
429
+ 108
430
+ 00:09:24,650 --> 00:09:32,550
431
+ so for this specific example there are 35 males
432
+
433
+ 109
434
+ 00:09:32,550 --> 00:09:39,930
435
+ and 40 females like this course So 35 plus 40
436
+
437
+ 110
438
+ 00:09:39,930 --> 00:09:45,150
439
+ divided by n1 plus n2 n1 is seventy plus a hundred
440
+
441
+ 111
442
+ 00:09:45,150 --> 00:09:51,650
443
+ ุจูŠุทู„ุน ุฎู…ุณุฉ ูˆุณุจุนูŠู† ุนู„ู‰ ู…ูŠุฉ ูˆุนุดุฑุฉ ู‡ุฐุง
444
+
445
+ 112
446
+ 00:09:51,650 --> 00:09:54,050
447
+ ุงู„ู€ exact proportion ุฎู…ุณุฉ ูˆุณุจุนูŠู† ุนู„ู‰ ู…ูŠุฉ ูˆุนุดุฑุฉ
448
+
449
+ 113
450
+ 00:09:54,050 --> 00:10:02,430
451
+ ุนู„ู‰ ู…ูŠุฉ ูˆุณุจุนูŠู† ุชุทู„ุน ุฃุฑุจุนุฉ ู…ู† ุนุดุฑุฉ ุชุทู„ุน ุฃุฑุจุนุฉ ู…ู†
452
+
453
+ 114
454
+ 00:10:02,430 --> 00:10:07,070
455
+ ุนุดุฑุฉ ุจุงู„ุถุจุท ูˆู„ุง ุจุฏู‡ุง ุดูˆูŠุฉ ุทูŠุจ ูˆุงู„ู€ ุฃุฑุจุนุฉ ู…ู†ุฒู„ ุฃุฑุจุนุฉ
456
+
457
+ 115
458
+ 00:10:07,070 --> 00:10:13,420
459
+ ู…ู† ุนุดุฑุฉ ุจูŠุทู„ุน 44 ู„ุญุธุฉ
460
+
461
+ 116
462
+ 00:10:13,420 --> 00:10:16,440
463
+ ุงู„ู„ูŠ ู‚ูˆู„ู‡ุง ุงูŠุด ุทู„ุนุช 45 ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
464
+
465
+ 117
466
+ 00:10:16,440 --> 00:10:17,060
467
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
468
+
469
+ 118
470
+ 00:10:17,060 --> 00:10:17,340
471
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
472
+
473
+ 119
474
+ 00:10:17,340 --> 00:10:17,980
475
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
476
+
477
+ 120
478
+ 00:10:17,980 --> 00:10:19,560
479
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
480
+
481
+ 121
482
+ 00:10:19,560 --> 00:10:19,960
483
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
484
+
485
+ 122
486
+ 00:10:19,960 --> 00:10:29,960
487
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
488
+
489
+ 123
490
+ 00:10:29,960 --> 00:10:32,460
491
+ ุงุชู†ูŠู†
492
+
493
+ 124
494
+ 00:10:35,930 --> 00:10:39,870
495
+ ุงู„ู€ 70 ู…ู„ูŠูˆู† ูˆุงู„ู€ 70 ู…ู„ูŠูˆู† ู‡ู†ุง ูˆุฌู…ุงุนุชู‡ู… ุจูŠู†ูุน ุฎู„ุงุต
496
+
497
+ 125
498
+ 00:10:39,870 --> 00:10:42,830
499
+ ู‡ุชุจู‚ูˆุง ู†ูุณ ุงู„ุจุนุถ ู„ูƒู† ู„ูˆ ุนู† ุงู„ู€ different sample
500
+
501
+ 126
502
+ 00:10:42,830 --> 00:10:46,850
503
+ sizes the pooled estimate for the overall proportion
504
+
505
+ 127
506
+ 00:10:46,850 --> 00:10:50,430
507
+ is given by this equation just some of the
508
+
509
+ 128
510
+ 00:10:50,430 --> 00:10:54,950
511
+ outcomes of interest ุฃู†ุง ู…ู‡ุชู… ุจุงู„ุทู„ุจ ุงู„ู„ูŠ ุจูŠ ..
512
+
513
+ 129
514
+ 00:10:54,950 --> 00:10:58,210
515
+ ุงู„ู„ูŠ ุจูŠุญุจ ุงู„ู€ class ุงู„ู€ statistics ุนู„ู‰ ุงู„ู€ total sample
516
+
517
+ 130
518
+ 00:10:58,210 --> 00:11:01,690
519
+ size ุฎู„ุงุต ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุงู„ุฌูŠุฏ ุจุงู„ู†ุณุจุฉ ู„ู†ุง ู†ุณู…ูŠู‡ ุงู„ู€
520
+
521
+ 131
522
+ 00:11:01,690 --> 00:11:05,960
523
+ ุงู„ู€ pooled estimate ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู…ู† ู‚ุจู„ ู‡ูŠูƒ ุงู„ู€
524
+
525
+ 132
526
+ 00:11:05,960 --> 00:11:08,800
527
+ pooled variance ุชุฐูƒุฑ ู…ุง ูƒุงู†ุช ุงู„ู€ two samplesุŸ ุทู„ุนู†ุง
528
+
529
+ 133
530
+ 00:11:08,800 --> 00:11:14,420
531
+ ุงู„ู€ pooled variance ุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ุŸ ู‡ุฐุง ู†ูุณ ุงู„ุดูŠุก ุงู„ุขู†
532
+
533
+ 134
534
+ 00:11:14,420 --> 00:11:23,520
535
+ ุงู„ู€ Z statistic ุงู„ู„ูŠ ุนู†ุฏู†ุง ุงู„ู€ Z star ุดูƒู„ู‡ ู…ุด ุญู„ูˆ
536
+
537
+ 135
538
+ 00:11:23,520 --> 00:11:30,120
539
+ ุงู„ุดูŠุก ุดูƒู„ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุจูŠุดุจู‡ ุจุงู„ุถุจุท ุงู„ู€ Z
540
+
541
+ 136
542
+ 00:11:30,120 --> 00:11:35,740
543
+ score ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ุดุจุฑ 3 ุงู„ุขู† ุฏุฑุฌุฉ ุนู„ู‰ ุดุทุฑ 3 ุฎุงู„ุต ุงู„ู€
544
+
545
+ 137
546
+ 00:11:35,740 --> 00:11:40,220
547
+ Z ูƒุงู† ุนุจุงุฑุฉ ุนู† ุงูŠุด ุงู„ู€ X ู†ุงู‚ุต ุงู„ู€ mean ุชุจุนู‡ ู…ุด ุงู„ู€
548
+
549
+ 138
550
+ 00:11:40,220 --> 00:11:43,460
551
+ mean ุชุจุนู‡ ุนู„ู‰ ุงู„ู€ standard deviation ุงู„ู„ูŠ ู‡ูˆ ู…ุธู‡ุฑ
552
+
553
+ 139
554
+ 00:11:43,460 --> 00:11:49,000
555
+ ู‡ุฐุง ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ X ู†ุงู‚ุต X ุจุงุฑ ุนู„ู‰ S ู…ุด ู‡ูŠูƒ
556
+
557
+ 140
558
+ 00:11:49,000 --> 00:11:54,660
559
+ ุฃุฎุฏู†ุง ุดุทุฑ 3 ุงู„ู„ูŠ ุจุญูƒูŠ ุนู†ู‡ ุงู„ูŠูˆู… ู‡ูˆ ู†ูุณู‡ ุจุณ ู…ุนุงู‡
560
+
561
+ 141
562
+ 00:11:54,660 --> 00:11:58,140
563
+ ุงุฎุชู„ุงู ุงูŠุด ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ ุฃู†ุง ุนุงูŠุฒ ุงู„ู€ Z stat ู„ู…ูŠู†
564
+
565
+ 142
566
+ 00:12:00,760 --> 00:12:06,100
567
+ ุงู„ู€ difference ุงู„ู„ูŠ ู‡ูˆ p1-p2ุŒ ู‡ุฐุง ุงู„ู€ X ุชุจุนุชูŠ
568
+
569
+ 143
570
+ 00:12:06,100 --> 00:12:10,580
571
+ ูˆุญุงูˆู„ูˆุง ุฃู† ุชูƒูˆู†ูˆุง ุชุจุนุฏูˆุง X ู†ุงู‚ุต 100 ุนู„ู‰ ุงู„ู€ SigmaุŒ ู…ุด
572
+
573
+ 144
574
+ 00:12:10,580 --> 00:12:16,720
575
+ ู‡ูŠุŸ ู†ุงู‚ุตุŒ ุทูŠุจุŒ ุงูŠุด ุงู„ู€ mean ู„ู‡ ุฏูˆู„ ู…ู† ุงู„ุฃุตู„ p1-p2ุŒ
576
+
577
+ 145
578
+ 00:12:16,720 --> 00:12:21,740
579
+ ู‡ุฐุง ุงู„ุฃุตู„ ุชุจุนู†ุง ุงู„ู„ูŠ
580
+
581
+ 146
582
+ 00:12:21,740 --> 00:12:25,840
583
+ ุชุญุช ุงู„ู€ standard deviation ุงู„ู€ standard deviation
584
+
585
+ 147
586
+ 00:12:25,840 --> 00:12:37,340
587
+ ู‡ูŠ ุงู„ู‚ูˆู† ุชุจุนู‡ p-1-p-h ุฃูŠ pi dash pi dash pi
588
+
589
+ 148
590
+ 00:12:37,340 --> 00:12:41,640
591
+ dash
592
+
593
+ 149
594
+ 00:12:41,640 --> 00:12:43,140
595
+ pi dash pi dash pi dash pi dash pi dash pi dash pi dash
596
+
597
+ 150
598
+ 00:12:43,140 --> 00:12:43,180
599
+ pi dash pi dash pi dash pi dash pi dash pi dash pi dash
600
+
601
+ 151
602
+ 00:12:43,180 --> 00:12:43,260
603
+ pi dash pi dash pi dash pi dash pi dash pi dash pi dash
604
+
605
+ 152
606
+ 00:12:43,260 --> 00:12:43,300
607
+ pi dash pi dash pi dash pi dash pi dash pi dash pi dash
608
+
609
+ 153
610
+ 00:12:43,300 --> 00:12:43,720
611
+ pi dash pi dash pi dash pi dash pi dash pi dash pi dash
612
+
613
+ 154
614
+ 00:12:43,720 --> 00:12:59,620
615
+ pi dash pi dash pi dash pi
616
+
617
+ 155
618
+ 00:13:00,030 --> 00:13:04,530
619
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ chapter 9 .. ุขู‡ chapter 10 ูƒุงู†ุช x1
620
+
621
+ 156
622
+ 00:13:04,530 --> 00:13:08,590
623
+ bar ู†ุงู‚ุต x2 bar ู…ุด ู‡ูŠูƒ ุงู„ู€ difference between two
624
+
625
+ 157
626
+ 00:13:08,590 --> 00:13:14,970
627
+ population proportions ู†ุงู‚ุต ู…ูŠู† ุงู„ุฃุตู„ ุชุจุนู‡ู… ู…ุธุจูˆุท
628
+
629
+ 158
630
+ 00:13:14,970 --> 00:13:20,170
631
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ู‡ู†ุงูƒ ุญุงู„ุชูŠู† ู„ู…ุง ู†ูƒูˆู† ุงู„ู€ variances are
632
+
633
+ 159
634
+ 00:13:20,170 --> 00:13:23,490
635
+ unknown but we assume they are equal ุฃุฎุฏู†ุง ุงู„ู€ pooled
636
+
637
+ 160
638
+ 00:13:23,490 --> 00:13:26,970
639
+ ุชุจุนู‡ู… ู…ุด ู‡ูŠูƒ ู‡ุฐุง ุงู„ู€ pooled ู‡ูˆ ู‡ุฐุง ุงู„ู€ pooled ุงู„ู„ูŠ ู‡ู†ุง
640
+
641
+ 161
642
+ 00:13:26,970 --> 00:13:29,410
643
+ ู…ุธุจูˆุท
644
+
645
+ 162
646
+ 00:13:30,020 --> 00:13:39,040
647
+ ุงู„ู„ูŠ ู‡ูˆ pooled variance ูƒุงู† sยฒp ุจุนุฏูŠู† ู†ูุณ ุงู„ู€ .. ู„ุฃ
648
+
649
+ 163
650
+ 00:13:39,040 --> 00:13:42,920
651
+ ู…ุง ููŠุด ุทุฑู‚ ุจุงู„ุงุชู†ูŠู† ุงุฎุชู„ู ุจุณ ุฃู†ุง ุจุชูƒู„ู… ู‡ู†ุงูƒ ุนู„ู‰
652
+
653
+ 164
654
+ 00:13:42,920 --> 00:13:48,360
655
+ means ู‡ู†ุง proportions ูุงู„ู…ู‚ุงู… ู‡ูŠุฎุชู„ู ู‡ูŠูƒูˆู† ุงู„ู€ pooled
656
+
657
+ 165
658
+ 00:13:48,360 --> 00:13:52,260
659
+ variance ู‡ูŠ ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ุงู„ู€ pooled s proportion ุจู€ pi'
660
+
661
+ 166
662
+ 00:13:52,620 --> 00:13:58,720
663
+ ร— (1-pi') ุฎู„ุงุต ุทุจุนู‹ุง ุงู„ู€ pi' ู‡ูŠ ู‚ุงู†ูˆู†ู‡ ูˆู‡ูŠ pi1 ูˆู‡ูŠ
664
+
665
+ 167
666
+ 00:13:58,720 --> 00:14:04,380
667
+ pi2 ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู†ุงุช ุจุนุทูŠูƒ ุงู„ุตูุญุฉ ู‡ุฐู‡ ุจุงู„ูƒุงู…ู„
668
+
669
+ 168
670
+ 00:14:04,380 --> 00:14:09,920
671
+ ู‚ุงู†ูˆู† ู‡ุฐุง ูˆ pi' ูˆ pi1 ูˆ pi2 ุฎู„ุงุต ูŠุนู†ูŠ ููŠ ุงู„ุงู…ุชุญุงู†ุงุช
672
+
673
+ 169
674
+ 00:14:09,920 --> 00:14:13,600
675
+ ุชุจุนู‡ู… ุงู„ุชู„ุงุชุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุจุนุทูŠูƒ formula sheet ุฅู„ู‰
676
+
677
+ 170
678
+ 00:14:13,600 --> 00:14:14,780
679
+ chapter 9 ูˆ chapter 10
680
+
681
+ 171
682
+ 00:14:21,690 --> 00:14:25,130
683
+ ู‡ุฏูˆู„ ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ู… ุงู„ู€ lower tail ูˆ upper tail ูˆ
684
+
685
+ 172
686
+ 00:14:25,130 --> 00:14:30,650
687
+ two-tailed test ุฎู„ุงุต ุดูˆู ุงู„ุจุงู‚ูŠ ุงู„ุขู† ุงู„ู…ู†ุทู‚ุฉ
688
+
689
+ 173
690
+ 00:14:30,650 --> 00:14:35,510
691
+ ุงู„ู„ูŠ ู‡ู†ุง ุจุชุญุฏุฏ ุงู„ู€ rejection regions ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ
692
+
693
+ 174
694
+ 00:14:35,510 --> 00:14:38,350
695
+ two-tailed test ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ two rejection regions
696
+
697
+ 175
698
+ 00:14:38,350 --> 00:14:42,270
699
+ ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ level of significance alpha alpha
700
+
701
+ 176
702
+ 00:14:42,270 --> 00:14:45,490
703
+ ุจุชุชุฌุณู… alpha over two to the right alpha over two
704
+
705
+ 177
706
+ 00:14:45,490 --> 00:14:49,890
707
+ to the left ู‡ูŠูƒ ู…ุฌู…ูˆุน ู…ู† alpha ูˆู†ู†ู‚ู„ ุฅุฐุง ู‚ูŠู…ุฉ
708
+
709
+ 178
710
+ 00:14:49,890 --> 00:14:53,430
711
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุชุชุฎู„ุต ู…ู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ Rejection Region ู…ุน
712
+
713
+ 179
714
+ 00:14:53,430 --> 00:14:59,250
715
+ ูƒุฏู‡ ุงู„ู€ Z ู‡ู†ุง ูŠุนู†ูŠ Z ุฃูƒุซุฑ ู…ู† Z alpha ุฃูƒุซุฑ ู…ู† 2 ุฃูˆ ููŠ
716
+
717
+ 180
718
+ 00:14:59,250 -->
719
+
720
+ 216
721
+ 00:18:05,150 --> 00:18:11,730
722
+ ุนู„ู‰ ุจุนุถุŒ ูˆุฃู†ุช ู„ุญุงู„ูƒ ุชุฎุชุงุฑุŒ ูŠู…ูƒู† ูŠูƒูˆู† ููŠู‡ู… ุฒูŠุงุฏุฉ ุจุณ
723
+
724
+ 217
725
+ 00:18:11,730 --> 00:18:14,670
726
+ ู…ุงููŠุด ู†ู‚ุต ููŠู‡ู…ุŒ ู‡ู… ูƒู„ู‡ู… ู…ูˆุฌูˆุฏุฉุŒ ุจุงู„ุชุงู„ูŠ ุงู„ู€ keywords
727
+
728
+ 218
729
+ 00:18:14,670 --> 00:18:20,790
730
+ ุจุชุงุนุชูƒ ู…ู† ุงู„ู…ุซุงู„ ู†ูุณู‡ุŒ ูˆุนู„ู‰ ุฅูŠุด ุจูŠุญูƒูŠุŸ ุจูŠุญูƒูŠ ุนู„ู‰
731
+
732
+ 219
733
+ 00:18:20,790 --> 00:18:24,450
734
+ differenceุŒ ุฃูˆู„ ู…ุง ุจูŠุญูƒูŠ ุนู„ู‰ difference ู…ุน ูƒุฏู‡ ู…ุด
735
+
736
+ 220
737
+ 00:18:24,450 --> 00:18:29,430
738
+ one sampleุŒ ุฃูƒูŠุฏ two samplesุŒ ู„ูƒู† ู‡ู„ ู‡ู…ุง means ูˆู„ุง
739
+
740
+ 221
741
+ 00:18:29,430 --> 00:18:33,850
742
+ proportionsุŸ ู‡ุญูƒูŠู„ูƒ ุจุชูˆุถูŠุญุŒ ูŠุนู†ูŠ specific words
743
+
744
+ 222
745
+ 00:18:33,850 --> 00:18:37,090
746
+ between the proportionุŒ ุจุชูƒู„ู…ู‡ุง ุนู„ู‰ proportion
747
+
748
+ 223
749
+ 00:18:37,090 --> 00:18:39,990
750
+ ุงู†ุชู‡ุช ุงู„ู‚ุตุฉุŒ ู…ุง ุฃู†ุง ูƒุฏู‡ ุฃู†ุง ุจุนุทูŠูƒ ุงู„ู€ formula sheet ูˆ
751
+
752
+ 224
753
+ 00:18:39,990 --> 00:18:46,750
754
+ ุณู„ุงู…ุชูŠุŒ ู‡ุชุทู„ุนูŠ ุนู„ู‰ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุงู„ู€ proportionsุŒ ูˆุงุถุญุŸ
755
+
756
+ 225
757
+ 00:18:46,750 --> 00:18:50,930
758
+ ุฅุฐุง ุตุงุฑ ู„ุฅู† ู†ุต ุงู„ุณ๏ฟฝ๏ฟฝุงู„ ุงู†ุญู„ ุทุงู„ู…ุง ุนุฑูู†ุง ุงู„ู‚ุงู†ูˆู†
759
+
760
+ 226
761
+ 00:18:50,930 --> 00:18:56,930
762
+ ุงู„ุตุญูŠ ุทุจุนู‹ุง of men and proportion of women ู‡ูˆ ุงู„
763
+
764
+ 227
765
+ 00:18:56,930 --> 00:19:01,400
766
+ vote yesุŒ ู‡ูˆ ุดุฎุต ุฅู…ุง ุจูŠุญูƒูŠ ู†ุนู… ุฃูˆ ุจูŠุญูƒูŠ ู„ุงุŒ ุทุงู„ู…ุง
767
+
768
+ 228
769
+ 00:19:01,400 --> 00:19:04,060
770
+ ุฃุชูƒู„ู… ู†ุนู…ู„ู‡ุŒ ูŠุนู†ูŠ qualitative dataุŒ ู…ุน ูƒุฏู‡ ุนู†ุฏูŠ
771
+
772
+ 229
773
+ 00:19:04,060 --> 00:19:08,640
774
+ proportionsุŒ ุจูƒู„ ุชุฃูƒูŠุฏ on a proposition A ููŠ
775
+
776
+ 230
777
+ 00:19:08,640 --> 00:19:12,660
778
+ ุงู†ุชุฎุงุจุงุชุŒ ุจุฏูŠ ุฃูŠุฏ party one ูˆ party twoุŒ ู…ูุชุฑุถ ุงู„
779
+
780
+ 231
781
+ 00:19:12,660 --> 00:19:16,480
782
+ two parties ูˆุงุญุฏุฉ ูˆุงู„ุชุงู†ูŠุฉุŒ ู…ู…ูƒู† ุฃูŠุฏ ูุตูŠู„ A ูˆ
783
+
784
+ 232
785
+ 00:19:16,480 --> 00:19:20,900
786
+ ุงู„ุชุงู†ูŠุฉ ุฃูŠุฏ ูุตูŠู„ BุŒ ูˆู‡ูƒุฐุงุŒ in a random sample ุฃุฎุฏ
787
+
788
+ 233
789
+ 00:19:20,900 --> 00:19:27,670
790
+ ุนูŠู†ุฉ ุนุดูˆุงุฆูŠุฉุŒ 36 of 70 menุŒ ู„ุญุธุฉุŒ ุฅูŠุด ุจูŠุญูƒูŠ.. ุณุชุฉ ูˆ
791
+
792
+ 234
793
+ 00:19:27,670 --> 00:19:30,550
794
+ ุซู„ุงุซูŠู† ู…ู† ุงุซู†ูŠู† ูˆุณุจุนุฉ ุฑุงุฌู„ุŒ and thirty-five of
795
+
796
+ 235
797
+ 00:19:30,550 --> 00:19:35,250
798
+ fifty women indicated they would vote yesุŒ ูŠุนู†ูŠ
799
+
800
+ 236
801
+ 00:19:35,250 --> 00:19:44,190
802
+ ุงู„ู„ูŠ ุจุฏู‡ ูŠุญูƒูŠ ู†ุนู… ููŠู‡ ู†ูˆุนูŠู†ุŒ men ูˆ womenุŒ ุงู„ู€
803
+
804
+ 237
805
+ 00:19:44,190 --> 00:19:52,250
806
+ ูƒุงู†ุช ุฅูŠุด ุนุฏุฏู‡ู…ุŸ seventy-twoุŒ ููƒุงู† ูˆุงุญุฏ ุญูƒู‰ yesุŒ ุฃู†ุง
807
+
808
+ 238
809
+ 00:19:52,250 --> 00:19:56,490
810
+ ู…ู‡ุชู… ุจุงู„ู€ 36 ู‡ุฏูˆู„ุŒ ุงู„ู€ 36 of men voted yes ู„ุฃูŠ
811
+
812
+ 239
813
+ 00:19:56,490 --> 00:20:02,390
814
+ proposition ูŠุนู†ูŠุŒ ูˆุงู„ู€ women ูƒุงู†ูˆุง ูˆุงุญุฏุฉ ุฎู…ุณูŠู†
815
+
816
+ 240
817
+ 00:20:02,390 --> 00:20:08,070
818
+ ูˆู„ู„ุญุธุฉ ู†ุนู…ุŒ 35ุŒ ุฅุฐุง ุฃู†ุง ุฃุฎุฏุช ุงู„ู€ data ู…ู† ู‡ู†ุงุŒ ูˆูˆุงุถุญ
819
+
820
+ 241
821
+ 00:20:08,070 --> 00:20:16,410
822
+ ูƒูŠู ู‚ุฑุฃุชู‡ุงุŒ ูุจุญูƒูŠ test at a five percent level of
823
+
824
+ 242
825
+ 00:20:16,410 --> 00:20:19,930
826
+ significance if there isุŒ ู‡ูˆ ุจูŠุณุฃู„ ุงู„ุณุคุงู„ ุงู„ูุฌูˆุฉ is
827
+
828
+ 243
829
+ 00:20:19,930 --> 00:20:23,290
830
+ there a significant differenceุŒ ูŠุนู†ูŠ ู…ุง ุฃูƒูŠุฏ ู„ูˆ
831
+
832
+ 244
833
+ 00:20:23,290 --> 00:20:25,790
834
+ ูƒุฏุจู†ุง ุจุฅู† ุงู„ู„ู‡ hypothesisุŒ ุฃูƒูŠุฏ ฯ€1 equal ฯ€2
835
+
836
+ 245
837
+ 00:20:25,790 --> 00:20:30,750
838
+ ุฃูˆ ุฅุฐุง ู…ุง ุญูƒูŠุช ฯ€1 minus ฯ€2 is dot
839
+
840
+ 246
841
+ 00:20:30,750 --> 00:20:36,010
842
+ zeroุŒ sorry equals zero equals
843
+
844
+ 247
845
+ 00:20:36,010 --> 00:20:39,370
846
+ zeroุŒ ุทุจ ุงู„ู€ alternate ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ู‡ู†ุง ููŠ ุงู„ู…ุซุงู„
847
+
848
+ 248
849
+ 00:20:39,370 --> 00:20:43,670
850
+ ู…ุง ุญูƒุงุด ุฃู†ู‡ ุงู„ุฃูˆู„ ุฃุนู„ู‰ ุฃูˆ ุงู„ุฃูˆู„ ุฃู‚ู„ุŒ ุจูŠุญูƒูŠ ู‡ู„ ููŠ ูุฑู‚
851
+
852
+ 249
853
+ 00:20:43,670 --> 00:20:50,370
854
+ ูˆู„ุง ู„ุฃุŸ ู…ุง ุฃูƒูŠุฏ ู‡ุงุช two sided ูˆู„ุง one sidedุŸ ุทุจุนู‹ุง
855
+
856
+ 250
857
+ 00:20:50,370 --> 00:20:53,870
858
+ ุงู„ุงุชุฌุงู‡ ู…ุด ูˆุงุถุญุŒ ู…ุง ุญูƒุงุด increases ุฃูˆ decreases ุฃูˆ
859
+
860
+ 251
861
+ 00:20:53,870 --> 00:20:56,530
862
+ smaller ุฃูˆ greaterุŒ ุฅู† ุฃู†ุง ุจุญูƒูŠ there is a
863
+
864
+ 252
865
+ 00:20:56,530 --> 00:20:59,510
866
+ difference ุจุณ ู…ุน ูƒุฏู‡ุŒ ฯ€1 does not equal ฯ€2
867
+
868
+ 253
869
+ 00:20:59,510 --> 00:21:06,370
870
+ ุฅุฐุง ู…ุนู†ุงู‡ ุฅู† ฯ€1 minus ฯ€2 is not zeroุŒ ุฃู†ุง
871
+
872
+ 254
873
+ 00:21:06,370 --> 00:21:12,570
874
+ ุฃุฎุฏุช ุงู„ู…ุนู„ูˆู…ุฉ ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ุณุคุงู„ ู†ูุณูŠุŒ ูุจุญูƒูŠ
875
+
876
+ 255
877
+ 00:21:12,570 --> 00:21:15,170
878
+ is there a difference ุฃูˆ significant difference
879
+
880
+ 256
881
+ 00:21:15,170 --> 00:21:16,230
882
+ between the proportion
883
+
884
+ 257
885
+ 00:21:19,070 --> 00:21:23,470
886
+ ุฅุฐุง ู‡ุฐู‡ ุงู„ุฃูˆู„ู‰ ู…ุนู†ุงู‡ุง ฯ€1 minus ฯ€2 equals
887
+
888
+ 258
889
+ 00:21:23,470 --> 00:21:29,270
890
+ zeroุŒ ุงู„ู…ุนู†ู‰ ุฏู‡ two proportions are equalุŒ we are
891
+
892
+ 259
893
+ 00:21:29,270 --> 00:21:32,150
894
+ testing this null hypothesis against alternate
895
+
896
+ 260
897
+ 00:21:32,150 --> 00:21:35,910
898
+ hypothesis ฯ€1 minus ฯ€2 is not zeroุŒ this
899
+
900
+ 261
901
+ 00:21:35,910 --> 00:21:39,350
902
+ means there is significant difference between the
903
+
904
+ 262
905
+ 00:21:39,350 --> 00:21:45,050
906
+ proportionsุŒ ุจุนุฏ ู…ุง ุฃุนู…ู„ ุญุณุงุจุงุชูŠุŒ ุงู„ุญุณุงุจุงุช ุงู„ุนุงุฏูŠุฉ
907
+
908
+ 263
909
+ 00:21:45,050 --> 00:21:49,720
910
+ ุจุชุทู„ุน ุงู„ู€ proportion ู„ู€ ุงู„ู€ min ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู…ุŒ ุงู„ู„ูŠ ู‡ูŠ
911
+
912
+ 264
913
+ 00:21:49,720 --> 00:22:00,000
914
+ x1 over n1ุŒ ุงู„ู„ูŠ ู‡ูŠ 36 over 72ุŒ ู‡ุฐู‡ 50%ุŒ ุงู„ู€
915
+
916
+ 265
917
+ 00:22:00,000 --> 00:22:07,440
918
+ proportion ู„ู„ู€ women who voted yes is x2 over n2ุŒ 35
919
+
920
+ 266
921
+ 00:22:07,440 --> 00:22:14,960
922
+ ุนู„ู‰ 50ุŒ 70%ุŒ ุดูˆููˆุง ุฒูŠ ู…ุง ุญูƒูŠุช ู…ู† ุงู„ุฃูˆู„ุŒ ู…ุง ูŠู†ูุนุด ุฃุทู„ุน ุงู„ู€
923
+
924
+ 267
925
+ 00:22:14,960 --> 00:22:17,360
926
+ p' ุฃุฌู…ุนู‡ู…
927
+
928
+ 268
929
+ 00:22:18,980 --> 00:22:23,600
930
+ ูˆุฃุฌู…ุนู‡ู… ุงุซู†ูŠู† ูŠุนู†ูŠ 6 ู…ู† 10ุŒ ู‡ูŠ ุฏูŠ ู…ุด ุตุญุŒ ุญุชู‰ ูˆุฅู†
931
+
932
+ 269
933
+ 00:22:23,600 --> 00:22:26,660
934
+ ูƒุงู†ุช ู‚ุฑูŠุจุฉ ู„ู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุงุŒ ู„ูŠุดุŸ ู„ุฃู† ุงู„ู€
935
+
936
+ 270
937
+ 00:22:26,660 --> 00:22:31,180
938
+ sample sizes ู…ุงู„ู‡ู… ุฒูŠ ุจุนุถุŒ ู„ูˆ ุฒูŠ ุจุนุถ ุฃู†ุง ู…ุงููŠุด
939
+
940
+ 271
941
+ 00:22:31,180 --> 00:22:35,860
942
+ ู…ุดูƒู„ุฉุŒ ูุจุทู„ุน ุงู„ู€ pooled estimate for the overall
943
+
944
+ 272
945
+ 00:22:35,860 --> 00:22:42,660
946
+ proportion ู‡ูŠ p' ู„ูŠู‡ุŒ X1 plus X2 over N1 plus N2
947
+
948
+ 273
949
+ 00:22:45,810 --> 00:22:55,350
950
+ ู„ูŠ ู‡ูŠ 35 ูˆ70ุŒ sorry 71ุŒ the total over N1 plus
951
+
952
+ 274
953
+ 00:22:55,350 --> 00:23:05,270
954
+ N2 is 72 plus 50 is 122ุŒ ู…ุฌู…ุนู‡ู… ุนู„ู‰ ุจุนุถุŒ 122 ููŠู‡ุง 958
955
+
956
+ 275
957
+ 00:23:05,270 --> 00:23:08,590
958
+ ู‡ุฐู‡
959
+
960
+ 276
961
+ 00:23:08,590 --> 00:23:12,750
962
+ ุงู„ู€ exact proportion ู‡ุฐู‡ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง
963
+
964
+ 277
965
+ 00:23:16,610 --> 00:23:20,370
966
+ ุฃู†ุง ุจุนู…ู„ computations, calculations ุนุดุงู† ุฃุณุชุทูŠุน ุงู„ู€
967
+
968
+ 278
969
+ 00:23:20,370 --> 00:23:26,970
970
+ Z statistic ุงู„ู„ูŠ ู‡ู†ุง just plug these values into
971
+
972
+ 279
973
+ 00:23:26,970 --> 00:23:33,290
974
+ this formula to get the value of Z statisticุŒ ูู€ Z
975
+
976
+ 280
977
+ 00:23:33,290 --> 00:23:38,530
978
+ ู‡ุชุณุงูˆูŠ ฯ€1 dash
979
+
980
+ 281
981
+ 00:23:38,530 --> 00:23:41,150
982
+ ู†ุงู‚ุต ฯ€2 dashุŒ ฯ€1 ุฃูˆ ฯ€1 just ฯ€1
983
+
984
+ 282
985
+ 00:23:45,420 --> 00:23:54,280
986
+ ุจู€ 1.5-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0
987
+
988
+ 283
989
+ 00:23:54,280 --> 00:23:57,860
990
+ .7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7
991
+
992
+ 284
993
+ 00:23:57,860 --> 00:23:58,000
994
+ -0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0
995
+
996
+ 285
997
+ 00:23:58,000 --> 00:24:00,980
998
+ .7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7
999
+
1000
+ 286
1001
+ 00:24:00,980 --> 00:24:02,360
1002
+ -0.7-0.7-0.7-0.7-0.7-0.7
1003
+
1004
+ 287
1005
+ 00:24:15,590 --> 00:24:24,650
1006
+ ุซู… ุชุฒูŠุฏ ู…ู† 1 ุนู„ู‰ N1 ูˆู‡ูˆ 72ุŒ plus 1 over 50 ุงู„ู„ูŠ
1007
+
1008
+ 288
1009
+ 00:24:24,650 --> 00:24:30,050
1010
+ ู„ู…ุง ุชูŠุฌูŠ ุชุญุณุจ ุงู„ุญุณุงุจุงุชุŒ ุจุฏุฃ ุดูˆูŠุฉ ุงู„ุตุจุฑุŒ ุชุญุณุจ ููŠ
1011
+
1012
+ 289
1013
+ 00:24:30,050 --> 00:24:35,650
1014
+ ุงู„ุฃูˆู„ ุงู„ู…ู‚ุงู…ุŒ ุชุงุฎุฏ ุงู„ู€ square rootุŒ ุชู†ุณูŠุด ุงู„ู€ square
1015
+
1016
+ 290
1017
+ 00:24:35,650 --> 00:24:39,590
1018
+ rootุŒ ุจุนุฏูŠู† ุชุฌู…ุน ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ู†ุง ุนู„ู‰ ุงู„ู€ square root
1019
+
1020
+ 291
1021
+ 00:24:39,590 --> 00:24:47,250
1022
+ ู„ูˆ ุงุดุชุบู„ุช ุตุญุŒ ุงู„ู€ job negative 2.1ุŒ ุฏุงูŠู…ุง ูŠูƒูˆู† ู‡ู†ุง
1023
+
1024
+ 292
1025
+ 00:24:47,250 --> 00:24:51,590
1026
+ index sense ู„ู„ุฅุฌุงุจุฉ ุงู„ู„ูŠ ุจุชุทู„ุนุŒ ูŠุนู†ูŠ ุงู„ู€ proportion
1027
+
1028
+ 293
1029
+ 00:24:51,590 --> 00:24:55,890
1030
+ ุงู„ุฃูˆู„ู‰ 50 ูˆุงู„ุซุงู†ูŠ ุงู„ู€ 70ุŒ ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู‡ูŠุชุทู„ุน ุจุงู„ู€
1031
+
1032
+ 294
1033
+ 00:24:55,890 --> 00:25:02,030
1034
+ negativeุŒ ู…ุธุจูˆุทุŸ ู„ุฅู† ุทุงู„ู…ุง ุฃุญุฏ ุงู„ู€ 50% ูˆุฃุญุฏ ุงู„ู€ 70
1035
+
1036
+ 295
1037
+ 00:25:02,030 --> 00:25:05,670
1038
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฅู† ุฃู†ุง ูˆุฃู†ุง ู…ูˆุฌูˆุฏุŒ ู„ุฃู† ุงู„ู€ p1 ุฃู‚ู„ ู…ู† ุงู„ู€
1039
+
1040
+ 296
1041
+ 00:25:05,670 --> 00:25:09,180
1042
+ p2ุŒ ู…ุน ูƒุฏู‡ ุงู„ุฌูˆุงุจ ู„ุงุฒู… ูŠุทู„ุน ู…ุนุงู‡ ุจุงู„ู€ negativeุŒ ุฃู†ุง
1043
+
1044
+ 297
1045
+ 00:25:09,180 --> 00:25:12,640
1046
+ ุฎุจุฑุชูƒ ุงู„ุฅุดุงุฑุฉ ู…ู…ูƒู† ุชุฎุฑุจ ู…ุด ุจุงู‚ูŠ ุงู„ู…ุซุงู„ุŒ ูˆุงุถุญุŸ
1047
+
1048
+ 298
1049
+ 00:25:12,640 --> 00:25:16,080
1050
+ ุจุงู„ุฐุงุช ู„ูˆ ูƒุงู† multiple choiceุŒ ู‡ุญูƒูŠู„ูƒ ุจุงู„ู†ุณุจุฉ
1051
+
1052
+ 299
1053
+ 00:25:16,080 --> 00:25:19,800
1054
+ ู„ุฅุฌุงุจุชูƒ ููŠ ุจูŠู‡ุŒ ููŠ ุงูŠู‡ุŒ ููŠ ูˆุงุญุฏุŒ ุฅูŠุด ุฅุฌุงุจุชูƒ ููŠ
1055
+
1056
+ 300
1057
+ 00:25:19,800 --> 00:25:23,080
1058
+ ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ูˆุงุถุญ ุจุงุฎุชู„ูุŒ ุจุงู„ุชุงู„ูŠ ู„ูˆ ุฃู†ุง ุบู„ุทุช ุฑุจู…ุง
1059
+
1060
+ 301
1061
+ 00:25:23,080 --> 00:25:26,320
1062
+ ููŠ ุงู„ุฅุดุงุฑุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ุทูŠุฑ ุงู„ู…ุซุงู„ุŒ ูˆุงุถุญุŸ
1063
+
1064
+ 302
1065
+ 00:25:30,580 --> 00:25:34,540
1066
+ ุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ูŠุฉ ู…ู‡ู…ุฉ ุฌุฏุงู‹ุŒ ุชุทู„ุน ู„ู€ Critical values
1067
+
1068
+ 303
1069
+ 00:25:34,540 --> 00:25:38,000
1070
+ ู‡ู†ุง ู†ุชุญุฏุซ ุนู† ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1071
+
1072
+ 304
1073
+ 00:25:38,000 --> 00:25:38,080
1074
+ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1075
+
1076
+ 305
1077
+ 00:25:38,080 --> 00:25:38,700
1078
+ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1079
+
1080
+ 306
1081
+ 00:25:38,700 --> 00:25:41,080
1082
+ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1083
+
1084
+ 307
1085
+ 00:25:41,080 --> 00:25:41,360
1086
+ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1087
+
1088
+ 308
1089
+ 00:25:41,360 --> 00:25:42,980
1090
+ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1091
+
1092
+ 309
1093
+ 00:25:42,980 --> 00:25:48,160
1094
+ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ ุงุชุตุงู„ูŠู† ุฃูˆ
1095
+
1096
+ 310
1097
+ 00:25:48,160 --> 00:25:56,360
1098
+ ุงุชุตุงู„ูŠู† ุฃูˆ
1099
+
1100
+ 311
1101
+ 00:25:56,360 --> 00:26:01,600
1102
+ ู‡ุคู„ุงุก ู‡ู… ุงู„ู‚ูŠู… ุงู„ุฑุฆูŠุณูŠุฉุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ู‚ูŠู…
1103
+
1104
+ 312
1105
+ 00:26:01,600 --> 00:26:08,140
1106
+ ุงู„ุงู†ุชุงุฌ ุชุณู‚ุท ููŠ ุฃุนู„ู‰ ุญุงุฌุฉ ุงู„ุทุฑู ุงู„ุฃูŠู…ู†ุŒ ูŠุนู†ูŠ ุฅุฐุง
1107
+
1108
+ 313
1109
+ 00:26:08,140 --> 00:26:13,060
1110
+ ูƒุงู† ุงู„ู‚ูŠู… ุฃูƒุจุฑ ู…ู† 1.96 ุฃูˆ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุฃุณูู„ ุฃู‚ู„ ู…ู†
1111
+
1112
+ 314
1113
+ 00:26:13,060 --> 00:26:20,480
1114
+ ู†ุงู‚ุต 1.96ุŒ ุซู… ู†ู†ูุฐ ุงู„ู€ hypothesisุŒ ุงู„ุขู† ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ุชุณู‚ุท
1115
+
1116
+ 315
1117
+ 00:26:20,480 --> 00:26:25,160
1118
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑุฆูŠุณูŠุฉุŸ ูˆุงุถุญ ู…ูˆุฌูˆุฏ ู‡ู†ุงุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุน ูƒุฏู‡
1119
+
1120
+ 316
1121
+ 00:26:25,160 --> 00:26:29,920
1122
+ ููŠ ุงู„ู€ rejectionุŒ ุฅุฐุง ุงู„ู€ decision reject the null
1123
+
1124
+ 317
1125
+ 00:26:29,920 --> 00:26:36,300
1126
+ hypothesisุŒ ุฅุฐุง ุงู„ู€ decision reject ุงู„ู€ zeroุŒ this
1127
+
1128
+ 318
1129
+ 00:26:36,300 --> 00:26:39,360
1130
+ means there is evidence of a significant
1131
+
1132
+ 319
1133
+ 00:26:39,360 --> 00:26:42,480
1134
+ difference in the proportion of men and women ููŠ
1135
+
1136
+ 320
1137
+ 00:26:42,480 --> 00:26:46,940
1138
+ ูุฑู‚ ุจูŠู† ุงู„ุงุซู†ูŠู†ุŒ ูŠุนู†ูŠ ู‡ุฐุง ู…ุนู†ุงู‡ ุงู„ู€ conclusion ุชุจุนูŠ
1139
+
1140
+ 321
1141
+ 00:26:46,940 --> 00:26:51,820
1142
+ ุฅู† ฯ€1 does not equal ฯ€2ุŒ ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฑุฌุงู„
1143
+
1144
+ 322
1145
+ 00:26:51,820 --> 00:26:59,100
1146
+ ุญูƒูˆุง ู†ุนู… ุชุฎุชู„ูุŒ ุทุจ ู„ูˆ ุนุงูŠุฒ ุฃุนู…ู„ testing ูˆุฃุนุฑู ู…ุง
1147
+
1148
+ 323
1149
+ 00:26:59,100 --> 00:27:04,080
1150
+ ุฅุฐุง ูƒุงู† ุงู„
1151
+
1152
+ 324
1153
+ 00:27:04,080 --> 00:27:10,420
1154
+ p1 smaller than p2 ูˆู„ุง p1 greater than p2ุŒ ุงู„ุขู† ู…ุด
1155
+
1156
+ 325
1157
+ 00:27:10,420 --> 00:27:15,580
1158
+ ู‡ูŠุฎุชู„ู ููŠ ูƒู„ ุงู„ุญู„ุŒ ุฅูŠุด ุจุชุฎุชู„ูุŸ ุฃุณู…ุน ู…ู† ูˆุงุญุฏุฉ ุจุณ ุจุณ
1159
+
1160
+ 326
1161
+ 00:27:15,580 --> 00:27:21,440
1162
+ ุงู„ู€ critical valueุŒ ุจุฏู„ two-sidedุŒ ู†ุฑุฌุน ุซุงู†ูŠุฉุŒ ู‡ูƒูˆู†
1163
+
1164
+ 327
1165
+ 00:27:21,440 --> 00:27:25,170
1166
+ ุนู†ุฏูŠ lower tail testุŒ ู‡ูƒูˆู† ูˆุงุญุฏุฉ ุจุณ ุนู„ู‰ ุงู„ุดู…ุงู„ุŒ ูููŠ
1167
+
1168
+ 328
1169
+ 00:27:25,170 --> 00:27:31,170
1170
+ ุงู„ู…ุซุงู„ ู‡ูŠ ุฏูŠ ุจุณ ุงู„ุงุฎุชู„ุงู ููŠ ูƒู„ ุงู„ุญู„ุŒ ู‡ูƒูˆู† ุนู†ุฏู‡ุง
1171
+
1172
+ 329
1173
+ 00:27:31,170 --> 00:27:39,610
1174
+ ู…ูˆุฌุฉ ูˆู„ุง ุณุงู„ุจุŸ ุณุงู„ุจ negativeุŒ ูƒุฏู‡ ุฅูŠุดุŸ 6 over 5
1175
+
1176
+ 330
1177
+ 00:27:39,610 --> 00:27:45,290
1178
+ ู…ุด ู‡ูŠูƒุŸ and five percentุŒ ู…ุฌู…ุนุด ุนู„ู‰ ุงุซู†ูŠู† ู…ุธุจูˆุทุŸ
1179
+
1180
+ 331
1181
+ 00:27:45,290 --> 00:27:49,930
1182
+ ูŠุนู†ูŠ ุฃู†ุง ุญูƒูŠุช ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ุงู„ุณุคุงู„ ููŠ ุฃุตู„ู‡ ู…ุด
1183
+
1184
+ 332
1185
+ 00:27:49,930 --> 00:27:54,120
1186
+ ูƒุงู† ฯ€1 does not equal ฯ€2ุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ูŠูƒ ุงู„ุญุงู„ุฉ
1187
+
1188
+ 333
1189
+ 00:27:54,120 --> 00:27:58,780
1190
+ ุงู„ุตุญุŒ ู‡ู†ุฎู„ุตู‡ุง ู„ูˆ ุงูุชุฑุถู†ุง ุบูŠุฑู†ุง ุงู„ู…ุซุงู„ ุจุฏู„ ฯ€1 does
1191
+
1192
+ 334
1193
+ 00:27:58,780 --> 00:28:02,300
1194
+ not equal ฯ€2 ุตุงุฑุช ฯ€1 ุฃู‚ู„ ู…ู† ฯ€2ุŒ ุญุฏุฏุชู‡ุง
1195
+
1196
+ 335
1197
+ 00:28:02,300 --> 00:28:05,200
1198
+ ุนู„ู‰ ุงู„ุดู…ุงู„ุŒ ุทุจ ู…ุด ุตุญูŠุญ ุฃุญุฏุฏู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ุจูƒูˆู† ุบุจูŠ
1199
+
1200
+ 336
1201
+ 00:28:05,200 --> 00:28:09,620
1202
+ ู„ูˆ ุญุฏุฏุชู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ู…ุธู‡ุฑุŸ ู„ูŠุดุŸ ุงู„ู„ูŠ ุจุชุถุญูƒ ุฅูŠู‡
1203
+
1204
+ 337
1205
+ 00:28:09,620 --> 00:28:16,300
1206
+ ุฃู†ุชุŸ ู„ูŠุด ุบู„ุท ุงู„ุณุคุงู„ุŸ ู„ูŠุด ู„ูˆ ุญูƒูŠุช ฯ€1ุŸ ู„ุฃู†ู‡
1207
+
1208
+ 338
1209
+ 00:28:16,300 --> 00:28:22,980
1210
+ ู…ุง ูŠู†ูุนุด ูŠูƒูˆู†.. ู…ุง ูŠู†ูุนุด ูˆุงุญุฏ ูŠ.. ูŠุณูˆูŠ.. ูŠ.. ูŠ.. ูŠ..
1211
+
1212
+ 339
1213
+ 00:28:22,980 --> 00:28:23,060
1214
+ .. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ
1215
+
1216
+ 340
1217
+ 00:28:23,060 --> 00:28:24,450
1218
+ .. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ูŠ.. ู…ุด ุจุฏู‡
1219
+
1220
+ 341
1221
+ 00:28:24,450 --> 00:28:29,830
1222
+ ุงุญูƒูƒ ุทุงู„ุน ู…ู†ูˆุด ู…ุนู†ู‰ุŒ ู…ุง ู‡ูŠ ุงู„ู…ุดูƒู„ุฉุŒ ุฃู†ุง ุงู„ู…ูุฑูˆุถ ุฃู†ุง
1223
+
1224
+ 342
1225
+ 00:28:29,830 --> 00:28:35,330
1226
+ ุงุญุงูƒูƒ ู„ู‡ุง ุนู„ู‰ ูู‡ู… ุฃู†ุง
1227
+
1228
+ 343
1229
+ 00:28:35,330 --> 00:28:39,650
1230
+ ุณุคุงู„ูƒ ู‡ุงู„ุชุงู„ุฉ ู…ุฑุฉ ุชุงู†ูŠุฉุŒ ู„ูŠุด ู…ู† ุงู„ุบุจุงุก ุจุฃูƒุฏ ุนู„ูŠู‡ุง
1231
+
1232
+ 344
1233
+ 00:28:39,650 --> 00:28:45,950
1234
+ ู…ู† ุงู„ุบุจุงุก ุฅู†ูƒ ุชุญูƒูŠ ฯ€1 ุฃูƒุจุฑ ู…ู† ฯ€2ุŒ ุงู„ุณุจุจ
1235
+
1236
+ 345
1237
+ 00:28:48,450 --> 00:28:52,730
1238
+ ู„ุฃู† ุงู„ู€ p1 ุฃู‚ู„ ู…ู† ุงู„ู€ p2ุŒ ู‡ุฐู‡ ุงู„ู€ 51 ูˆุงู„ู€ 70
1239
+
1240
+ 346
1241
+ 00:28:52,730 --> 00:28:56,450
1242
+ ูุจุงู„ุชุงู„ูŠ ู…ุด ู…ู†ุทู‚ูŠุŒ ูŠุนู†ูŠ it doesn't make any sense
1243
+
1244
+ 347
1245
+ 00:28:56,450 --> 00:29:00,190
1246
+ if you state the alternative p1 greater than p2
1247
+
1248
+ 348
1249
+ 00:29:00,190 --> 00:29:05,630
1250
+ ู‡ุชูƒูˆู† ุฃู‚ู„ ู…ู† p2ุŒ ูˆุงุถุญุŸ ุทุจุนู‹ุง ู„ูŠุด ุงู„ุญุงุฌุฉ ูŠุฎุชู„ู ุจุณ ุงู„
1251
+
1252
+ 349
1253
+ 00:29:05,630 --> 00:29:10,850
1254
+ critical value ู‡ุชูƒูˆู† ุจุณ ุนู†ุฏ Z ฮฑุŒ negative Z ฮฑุŒ ูˆู„ูˆ
1255
+
1256
+ 350
1257
+ 00:29:10,850 --> 00:29:14,530
1258
+ ุชูƒูˆู† Alpha 5%ุŒ ุจุชุทู„ุนู‡ุง ุจุงู„ุฌูˆุงุจ ู…ู† ุงู„ู€ tables
1259
+
1260
+ 351
1261
+ 00:29:14,530 --> 00:29:19,710
1262
+ negative 1.645ุŒ Now is this value again for the
1263
+
1264
+ 352
1265
+ 00:29:19,710 --> 00:29:24,370
1266
+ rejection regionุŸ ูˆุงุถุญุŒ ู…ูˆุฌูˆุฏุŒ ูŠุนู†ูŠ ู…ุธุจูˆุทุŸ ุฅุฐุง
1267
+
1268
+ 353
1269
+ 00:29:24,370 --> 00:29:27,290
1270
+ ุจุฑุถู‡ we rejected on hypothesisุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ p1
1271
+
1272
+ 354
1273
+ 00:29:27,290 --> 00:29:31,290
1274
+ ู…ุงู„ู‡ ุฃู‚ู„ ู…ู† p2ุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ proportion ู„ู„ู€ men
1275
+
1276
+ 355
1277
+ 00:29:31,290 --> 00:29:35,730
1278
+ ุงู„ู„ูŠ ุญูƒูˆุง yes ู†ุณุจุชู‡ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ู€ proportion
1279
+
1280
+ 356
1281
+ 00:29:35,730 --> 00:29:39,730
1282
+ ุงู„ู„ูŠ ุญูƒูˆุง ู„ู„ู€ women ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู…ุŒ ูŠุนู†ูŠ ุงู„ุฑุฌุงู„ ุญูƒูˆุง
1283
+
1284
+ 357
1285
+ 00:29:39,730 --> 00:29:45,930
1286
+ ู†ุนู… ุฃู‚ู„ ู…ู† ู†ุณุจุฉ ุงู„ู†ุณุงุก ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู…ุŒ ูˆุงุถุญุŸ ููŠ ุฃูŠ
1287
+
1288
+ 358
1289
+ 00:29:45,930 --> 00:29:52,400
1290
+ ุณุคุงู„ุŸ ุฅู„ุง ุจุนุฏ ู‡ูŠ ู…ุงููŠุด ุฎู„ุตุฉ ุงู„ุดุจุทุฉุŒ ุงู„ุดุจุทุฉ ุนุดุงู† ูƒุฏู‡
1291
+
1292
+ 359
1293
+ 00:29:52,400 --> 00:29:59,920
1294
+ ุฎู„ุตุŒ ุจุณ ู„ุบุงูŠุฉ ู‡ู†ุง ุงู„ุดุจุทุฉ ุนุดุงู† ุฎู„ุตุŒ ุฃูŠ ุณุคุงู„ุŒ ุงู„ู„ู‡ู…
1295
+
1296
+ 360
1297
+ 00:29:59,920 --> 00:30:00,520
1298
+ ุชูƒุจุฑ ุนุงููŠุฉ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/hJb_DQoXRBs_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/hJb_DQoXRBs_raw.srt ADDED
@@ -0,0 +1,1464 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:26,610
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุจุฏุฃ ุฃูˆู„
4
+
5
+ 2
6
+ 00:00:26,610 --> 00:00:32,390
7
+ ู„ู‚ุงู‡ ุจุนุฏ ุฑู…ุถุงู† ูุฏุงุฆู…ุง ุฃูˆู„ ู„ู‚ุงู‡ ุจูŠูƒูˆู† ุฎููŠู ูู‡ู†ุงุฎุฏ
8
+
9
+ 3
10
+ 00:00:32,390 --> 00:00:36,310
11
+ ููŠ ู…ูˆุถูˆุน ุณู‡ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ two population proportions
12
+
13
+ 4
14
+ 00:00:36,310 --> 00:00:43,670
15
+ ุจุชุนุฑู ุดุจุทุฑ 9 ูˆุดุจุทุฑ 10 ุญูƒูŠู†ุง ุนู† ุดุบู„ุชูŠู† ู…ู‡ู…ุฉ ุงู„ู„ูŠ ู‡ูŠ
16
+
17
+ 5
18
+ 00:00:43,670 --> 00:00:47,590
19
+ ุงู„ testing about population parameters ุฃุฎุฏู†ุง ุงู„
20
+
21
+ 6
22
+ 00:00:47,590 --> 00:00:51,410
23
+ population mean one population meanูˆุฃุฎุฏู†ุง one
24
+
25
+ 7
26
+ 00:00:51,410 --> 00:00:54,910
27
+ population proportion ุฃุฎุฏู†ุง ููŠ ุดุฑุทุฑ ุชุณุนุฉ ุงู„ู„ูŠ
28
+
29
+ 8
30
+ 00:00:54,910 --> 00:00:58,850
31
+ ุนู…ู„ู†ุงู‡ุง ููŠ ุนุดุฑุฉ ุนู…ู„ู†ุง extension ู„ุดุฑุทุฑ ุชุณุนุฉ ูุฃุฎุฏู†ุง
32
+
33
+ 9
34
+ 00:00:58,850 --> 00:01:02,450
35
+ two population means ูˆุฃุฎุฏู†ุงู‡ู… ุญุงู„ุชูŠู† ุชุฐูƒุฑูˆุง ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:01:02,450 --> 00:01:07,190
39
+ ู‡ูˆ ุงู„ independent ูˆ ุงู„ related ูˆ ู‡ุฏูˆู„ ุงุชู†ูŠู† ููŠ
40
+
41
+ 11
42
+ 00:01:07,190 --> 00:01:11,610
43
+ population means ุจูŠู„ุฒู… ูŠูƒูˆู† ุนู†ุฏู‰ ู†ูˆุน ุงู„ุจูŠุงู†ุงุช
44
+
45
+ 12
46
+ 00:01:11,610 --> 00:01:16,890
47
+ quantitative data ุจูŠุงู†ุงุช ูƒู…ูŠุฉ ู„ูˆ ูƒุงู†ุช qualitative
48
+
49
+ 13
50
+ 00:01:16,890 --> 00:01:21,720
51
+ ูŠุนู†ูŠ ุฃุณุฑุฉ ุฒูŠ yes ูˆ no ุจุณุชุฎุฏู…ุงู„ู€ proportions ุณูˆุงุก
52
+
53
+ 14
54
+ 00:01:21,720 --> 00:01:23,800
55
+ ูƒุงู†ุช one population of proportions ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง
56
+
57
+ 15
58
+ 00:01:23,800 --> 00:01:26,660
59
+ ููŠ ุดุฑุทุฉ ุชุณุนุฉ ุฃูˆ two population of proportions ุงุญู†ุง
60
+
61
+ 16
62
+ 00:01:26,660 --> 00:01:31,420
63
+ ู‡ู†ุงุฎุฏู‡ ุงู„ุขู† ูุงู„ุฌูˆู„
64
+
65
+ 17
66
+ 00:01:31,420 --> 00:01:35,980
67
+ test a hypothesis or form confidence interval
68
+
69
+ 18
70
+ 00:01:35,980 --> 00:01:39,280
71
+ usually will skip confidence interval as we
72
+
73
+ 19
74
+ 00:01:39,280 --> 00:01:41,820
75
+ mentioned before so we are going just to test a
76
+
77
+ 20
78
+ 00:01:41,820 --> 00:01:47,160
79
+ hypothesis for the difference betweentwo
80
+
81
+ 21
82
+ 00:01:47,160 --> 00:01:49,360
83
+ population proportions ุฒูŠ ู…ุง ุญูƒูŠู†ุง for the
84
+
85
+ 22
86
+ 00:01:49,360 --> 00:01:52,060
87
+ difference between two population means ู‡ู†ุง ุงุญู†ุง
88
+
89
+ 23
90
+ 00:01:52,060 --> 00:01:57,700
91
+ ู†ุญูƒูŠ ุนู„ู‰ ู†ูุณ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ two population
92
+
93
+ 24
94
+ 00:01:57,700 --> 00:02:04,380
95
+ proportions ูˆุงุถุญ
96
+
97
+ 25
98
+ 00:02:04,380 --> 00:02:07,500
99
+ ูุงู„ two population proportions ุญูƒูŠู†ุง ุงู„ by one
100
+
101
+ 26
102
+ 00:02:07,500 --> 00:02:13,120
103
+ represents the population proportion for
104
+
105
+ 27
106
+ 00:02:13,120 --> 00:02:20,110
107
+ population number oneุงู„ุชุงู†ูŠุฉ ุงู„ู€ bi2 ู…ู…ูŠุฒุฉ ุจุงู„ู†ุณุจุฉ
108
+
109
+ 28
110
+ 00:02:20,110 --> 00:02:26,350
111
+ ู„ู„ุฌู…ู‡ูˆุฑ ุงู„ุซุงู†ูŠ ู„ู„ุฌู…ู‡ูˆุฑ ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจุชุฌุงุฑุจ ุงู„ูุฑู‚
112
+
113
+ 29
114
+ 00:02:26,350 --> 00:02:31,350
115
+ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ุฌู…ู‡ูˆุฑ ุงู„ุฃุณุงู…ูŠู‡ ู‡ูŠ ู†ูุณู‡ุง ุงู„ุชูŠ ู‚ุฏ
116
+
117
+ 30
118
+ 00:02:31,350 --> 00:02:36,990
119
+ ุชุญุฏุซู†ุง ุนู†ู‡ุง ู‚ุจู„ู‡ุง ุงู„ุฃุณุงู…ูŠู‡ ู‡ูŠ N times Y is at
120
+
121
+ 31
122
+ 00:02:36,990 --> 00:02:44,150
123
+ least 5ูˆNร—1-Pi ู‡ูˆ ุฃู‚ู„ ู…ู† 5 ูˆู‡ุฐุง ู„ู„ู…ุฌุชู…ุน ุงู„ุฃูˆู„ุŒ
124
+
125
+ 32
126
+ 00:02:44,150 --> 00:02:49,570
127
+ ูˆู…ุซู„ู‹ุง ู„ู„ู…ุฌุชู…ุน ุงู„ุซุงู†ูŠุŒ ูุงู„ูˆุงุถุญ ุฃู† Nร—Pi1 ู‡ูˆ ุฃู‚ู„ ู…ู†
128
+
129
+ 33
130
+ 00:02:49,570 --> 00:03:00,190
131
+ 5 ูˆNร—1-Pi1 ู‡ูˆ ุฃูŠุถู‹ุง ุฃู‚ู„ ู…ู† 5ุŒ ู‡ุฐุง ู„ุดุฎุต ู†ูุณู‡ ุงู„ุฐูŠ
132
+
133
+ 34
134
+ 00:03:00,190 --> 00:03:04,250
135
+ ูุนู„ู†ุงู‡ ููŠ ุงู„ุญู„ู‚ุฉ 9ูˆู„ูƒู† ู‡ู†ุง ู„ุฏูŠู†ุง ุงุซุงุฑูŠู† ุงุนู†ูŠ ู„ุฏูŠู†ุง
136
+
137
+ 35
138
+ 00:03:04,250 --> 00:03:07,530
139
+ ุงุซุงุฑูŠู† ู…ุฌู…ูˆุนุงุช ู„ุฐุง ู†ุฎุชุงุฑ ุงุซุงุฑูŠู† ู…ุฌู…ูˆุนุงุช ุนุดูˆุงุฆูŠุฉ
140
+
141
+ 36
142
+ 00:03:07,530 --> 00:03:12,950
143
+ ู„ุฐุง ู„ุฏูŠู†ุง ุงุซุงุฑูŠู† ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ููŠ ูˆุงุญุฏุฉ ูˆุงู†ุชูˆุง
144
+
145
+ 37
146
+ 00:03:12,950 --> 00:03:15,930
147
+ ุงุฐุง ุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ุจูŠ ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5
148
+
149
+ 38
150
+ 00:03:15,930 --> 00:03:18,970
151
+ ุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ูˆุงุญุฏุฉ ุงู‚ู„ ุจูŠ ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰
152
+
153
+ 39
154
+ 00:03:18,970 --> 00:03:22,370
155
+ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ุงุชูˆุง ูŠุฌุจ ุฃู†
156
+
157
+ 40
158
+ 00:03:22,370 --> 00:03:24,070
159
+ ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช
160
+
161
+ 41
162
+ 00:03:24,070 --> 00:03:26,790
163
+ ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช
164
+
165
+ 42
166
+ 00:03:26,790 --> 00:03:31,620
167
+ ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ุฃูŠุถู‹ุง
168
+
169
+ 43
170
+ 00:03:31,620 --> 00:03:36,280
171
+ ู…ุซู„ู‹ุง ูƒู…ุง ุฐูƒุฑู†ุงู‡ ู‚ุจู„ ุฐู„ูƒ ู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
172
+
173
+ 44
174
+ 00:03:36,280 --> 00:03:39,920
175
+ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู…ู‚ุงุฑู†ุฉ ู…ุฌุชู…ุน ูˆุงุญุฏุฉ ูู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ
176
+
177
+ 45
178
+ 00:03:39,920 --> 00:03:46,060
179
+ ู…ุฌุฑุฏ P ุฅุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ู…ู‚ุงุฑู†ุฉ ู…ุฌุชู…ุนูŠู†
180
+
181
+ 46
182
+ 00:03:46,060 --> 00:03:54,180
183
+ ุซู… ู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ B1-B2 ูB1-B2 ู‡ูŠ ู…ู‚ุงุฑู†ุฉ
184
+
185
+ 47
186
+ 00:03:54,180 --> 00:03:58,300
187
+ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
188
+
189
+ 48
190
+ 00:03:58,300 --> 00:04:09,160
191
+ P1-P2ูˆุฅุฐุง ูƒู†ุง ู†ุชูƒู„ู… ุนู† P2-P1 ู…ุงู‡ูˆ ุงู„ูˆุถุน ู„ู€ P2-P1
192
+
193
+ 49
194
+ 00:04:09,160 --> 00:04:19,480
195
+ P2-P1ุŒ ูP2 ูู‚ุท ุนูƒุณ P2-P1 ูP2-P1 ู‡ูˆ ุงู„ูˆุถุน ู„ู„ู…ุฎุชู„ู
196
+
197
+ 50
198
+ 00:04:19,480 --> 00:04:21,600
199
+ P2-P1
200
+
201
+ 51
202
+ 00:04:26,990 --> 00:04:31,850
203
+ ููŠ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุงู†ูุนุงู„ูŠุฉุŒ ูƒู…ุง ุฐูƒุฑู†ุงุŒ ู„ู„ู…ุฎุชู„ู ุจูŠู†
204
+
205
+ 52
206
+ 00:04:31,850 --> 00:04:36,270
207
+ ุงุชุฌุงุฑุชูŠู† ูŠุนู†ูŠ ุฃู† ููŠ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุงู†ูุนุงู„ูŠุฉุŒ ู„ุง ูŠูˆุฌุฏ
208
+
209
+ 53
210
+ 00:04:36,270 --> 00:04:41,790
211
+ ุงุฎุชู„ุงู ุจูŠู† ุฃุณุงุณูŠุงุช ุงู„ู‡ุฏุงูŠุง. ุงู„ุขู†ุŒ ู†ุญู† ู…ู‡ุชู…ูˆู†
212
+
213
+ 54
214
+ 00:04:41,790 --> 00:04:47,850
215
+ ุจุงู„ุงุฎุชู„ุงู ุจูŠู† ุงุชุฌุงุฑุชูŠู† ูˆู…ุฌู…ูˆุนุงุช. ู„ุฐู„ูƒ, y1-y2 ู‡ูˆ 0.
216
+
217
+ 55
218
+ 00:04:48,250 --> 00:04:52,270
219
+ ุฃุนู†ูŠ, ุงู„ุงุฎุชู„ุงู ุจูŠู† ู‡ุฐูŠู† ู‡ูˆ 0. ุฃูˆ ู…ุซู„ู‹ุง, ู‡ุฐุง ูŠู…ูƒู†
220
+
221
+ 56
222
+ 00:04:52,270 --> 00:04:58,360
223
+ ุฃู† ูŠูƒูˆู† ูƒุชุงุจ ูƒู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู„ูŠุณ ู‡ู†ุงูƒ ุงุฎุชู„ุงู ู…ู‡ู… ุจูŠู†
224
+
225
+ 57
226
+ 00:04:58,360 --> 00:05:05,260
227
+ ู…ุฌู…ูˆุนุงุช ุงู„ู†ุงุณ ู…ู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ูˆู†ุณุจุฉ ุงุซู†ู‰. ุงู„ุขู†ุŒ
228
+
229
+ 58
230
+ 00:05:05,260 --> 00:05:08,540
231
+ ู„ู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ุฅู†ุชุฑู†ุช ุฃูˆ ุงู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ุฅู†ุชุฑู†ุช ูƒู…ุง
232
+
233
+ 59
234
+ 00:05:08,540 --> 00:05:14,700
235
+ ุฐูƒุฑุช ู‚ุจู„ู‡ุงุŒ ู‡ู†ุงูƒ ุซู„ุงุซุฉ ู…ุฌู…ูˆุนุงุชุŒ ุฅู…ุง ู…ุฎุชุงุฑูŠู† ุฃูˆ
236
+
237
+ 60
238
+ 00:05:14,700 --> 00:05:19,340
239
+ ู…ุฎุชุงุฑูŠู†ุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ุฃู‚ู„ ู…ู† ู†ุณุจุฉ ุงุซู†ู‰
240
+
241
+ 61
242
+ 00:05:19,340 --> 00:05:23,260
243
+ ู„ูŠุณุช ุฃุฒุฑุนุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู†ุณุจุฉ ุงุซู†ู‰.
244
+
245
+ 62
246
+ 00:05:24,840 --> 00:05:29,820
247
+ ู‡ุฐุง ูŠุณู…ู‰ ุงุฎุชุจุงุฑ ู…ู† ุงู„ุทุฑููŠู† two-sided ุงูˆ two-tailed
248
+
249
+ 63
250
+ 00:05:29,820 --> 00:05:36,920
251
+ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุขุฎุฑุŒ ู‡ู†ุงูƒ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุฎุฑู‰ ูŠุณู…ู‰
252
+
253
+ 64
254
+ 00:05:36,920 --> 00:05:42,000
255
+ upper tail ูˆlower tail ุงู„ู€ upper tail ู‡ูˆ ุจูŠ ูˆุงู†
256
+
257
+ 65
258
+ 00:05:42,000 --> 00:05:47,880
259
+ ุงู‚ู„ ู…ู† ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ
260
+
261
+ 66
262
+ 00:05:47,880 --> 00:05:52,340
263
+ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚
264
+
265
+ 67
266
+ 00:05:52,340 --> 00:05:53,080
267
+ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ
268
+
269
+ 68
270
+ 00:05:53,080 --> 00:05:53,080
271
+ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚
272
+
273
+ 69
274
+ 00:05:53,080 --> 00:05:55,060
275
+ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชู‡ุฐุง ูŠุณู…ู‰ ุชุฌุงุฑุจ
276
+
277
+ 70
278
+ 00:05:55,060 --> 00:05:59,600
279
+ ุงู„ุฃุนู„ู‰ุŒ ูˆุงุถุญ ุชุฌุงุฑุจ ุงู„ุฃุนู„ู‰ ู„ุฐู„ูƒ ู…ูŠูˆ ูˆุงู† ู…ุงู†ูˆุณ ู…ูŠูˆ
280
+
281
+ 71
282
+ 00:05:59,600 --> 00:06:06,920
283
+ ุงุชูˆ ู…ูุชูˆุญุŒ ูˆู…ุซู„ู‹ุง ู„ูƒู„ ุชุฌุงุฑุจ ุฃุณูู„ ูŠุนู†ูŠ ุจุงูŠ ูˆุงู†
284
+
285
+ 72
286
+ 00:06:06,920 --> 00:06:10,760
287
+ ู…ุงู†ูˆุณ ุจุงูŠ ุงุชูˆ ู…ูุชูˆุญุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุจุงูŠ ูˆุงู† ุฃุตุบุฑ ู…ู† ุจุงูŠ
288
+
289
+ 73
290
+ 00:06:10,760 --> 00:06:16,260
291
+ ุงุชูˆุŒ ุงู„ุขู† ุชุญุช ุงู„hypothesis ูุฅุฐุง ูƒุงู†ุช ุงู„hypothesis
292
+
293
+ 74
294
+ 00:06:16,260 --> 00:06:21,340
295
+ ุตุญูŠุญุฉุŒููŠ ู†ุธุฑุฉ ุงู„ู€ NULL ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ุงู„ู€ NULL ุตุญูŠุญ
296
+
297
+ 75
298
+ 00:06:21,340 --> 00:06:22,960
299
+ ู„ุฐู„ูƒ ู†ุนุชู…ุฏ ุฃู† ู†ุญู† ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
300
+
301
+ 76
302
+ 00:06:22,960 --> 00:06:25,640
303
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
304
+
305
+ 77
306
+ 00:06:25,640 --> 00:06:28,480
307
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
308
+
309
+ 78
310
+ 00:06:28,480 --> 00:06:28,720
311
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
312
+
313
+ 79
314
+ 00:06:28,720 --> 00:06:28,720
315
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
316
+
317
+ 80
318
+ 00:06:28,720 --> 00:06:45,680
319
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
320
+
321
+ 81
322
+ 00:06:45,680 --> 00:06:51,750
323
+ ู†ุงู„ู†ุณุจุฉ ุงู„ู…ุฌุงู…ุนุฉ ู„ู„ู…ุฌุชู…ุน ูƒูƒู„ ู†ุณู…ูŠู‡ุง ุจูˆู„ุช ุฃุณุชู…ุชุน
324
+
325
+ 82
326
+ 00:06:51,750 --> 00:06:59,270
327
+ for the overall proportion ุงู„ู‚ุงู†ูˆู†
328
+
329
+ 83
330
+ 00:06:59,270 --> 00:07:06,090
331
+ ุจูŠ ุฏุงุดุช ุจูŠ ุฏุงุดุช equals x1 plus x2 over n1 plus n2
332
+
333
+ 84
334
+ 00:07:06,090 --> 00:07:11,430
335
+ for example suppose I am teaching two classes of
336
+
337
+ 85
338
+ 00:07:11,430 --> 00:07:15,330
339
+ statistics males and females
340
+
341
+ 86
342
+ 00:07:18,360 --> 00:07:22,100
343
+ and suppose the number of males is seventy number
344
+
345
+ 87
346
+ 00:07:22,100 --> 00:07:28,220
347
+ of females is hundred and my question is for each
348
+
349
+ 88
350
+ 00:07:28,220 --> 00:07:32,640
351
+ class do you prefer this courseุŸ ุจุชูุถู„ูˆุง ุงู„ course
352
+
353
+ 89
354
+ 00:07:32,640 --> 00:07:37,500
355
+ ุงู„ู„ูŠ ุญู†ุง ู†ุงุฎุฏู‡ุŒ ู†ูุชุฑุถ for males twenty just prefer
356
+
357
+ 90
358
+ 00:07:37,500 --> 00:07:42,520
359
+ .. ุงู„ุทุจูŠุนูŠ ู…ุด ูƒุฏู‡ุŒ ุงู„ู„ูŠ ุจูุถู„ ู†ูุชุฑุถ ุงู„ู„ูŠ ุญุตู„ุช ุนุดุฑูŠู†
360
+
361
+ 91
362
+ 00:07:42,520 --> 00:07:48,370
363
+ ูˆุงุญุฏ ูˆ ุงู„ุทุงู„ุจุงุช ู†ูุชุฑุถ ุงู„ู„ูŠ ุจูุถู„ ุงุฑุจุนูŠู† ูˆุงุญุฏู†ูุชุฑุถ
364
+
365
+ 92
366
+ 00:07:48,370 --> 00:07:53,050
367
+ ุญุงุฌุฉ ุฒู‰ ูƒุฏู‡ ุงู„ู„ู‰ ู„ูˆ ุนุงูŠุฒ ุงุทู„ุน ุงู„ average ู„ู„
368
+
369
+ 93
370
+ 00:07:53,050 --> 00:07:57,390
371
+ proportion ู„ two classes ู…ุน ุจุนุถ together ุจูŠู†ูุนุด
372
+
373
+ 94
374
+ 00:07:57,390 --> 00:08:01,250
375
+ ุงุญูƒูŠ ุงู„ average ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุนุฉ ุฏูˆู„ ุนู„ู‰ ุงุชู†ูŠู†
376
+
377
+ 95
378
+ 00:08:01,250 --> 00:08:04,570
379
+ ุจูŠู†ูุนุด ุงุญูƒูŠ ุงุฑุจุนูŠู† ุฒูŠ ุงุชูŠู† ุนู„ู‰ ุงุชูŠู† ุชุทู„ุน ุชู„ุงุชูŠู† ููŠ
380
+
381
+ 96
382
+ 00:08:04,570 --> 00:08:10,370
383
+ ุงู„ู…ูŠู„ูŠุงุŒ ู…ุธุจูˆุทุŸ ู„ุฃู†ู‡ ู…ุด ุฒูŠ ุจุนุถุŒ ุงู„ samples ู…ุด ุฒูŠ
384
+
385
+ 97
386
+ 00:08:10,370 --> 00:08:16,300
387
+ ุจุนุถุŒ ูŠุนู†ูŠ ุจูŠู†ูุนุด ุงุทู„ุน ุฎู„ูŠู†ูŠ ุงุญูƒูŠู‡ุฐุง 35 ุจุณ ุงุบูŠุฑู‡
388
+
389
+ 98
390
+ 00:08:16,300 --> 00:08:25,520
391
+ ุนุดุงู† ู†ุนุฑู ู†ุญุณุจ ุฎู„ู‘ูŠู‡ุง 35 ูƒูˆูŠุณ ู…ุงู†ูุนุด ุงุญูƒูŠ ุทุงู„ุน ุงู„
392
+
393
+ 99
394
+ 00:08:25,520 --> 00:08:32,900
395
+ B1 ุทูŠุจ B1 ุดูˆ ุณุงูˆูŠุŸ X1 over N1 ู…ุด ู‡ูŠุŸ ุงู„ู„ูŠ 50% ูˆ B2
396
+
397
+ 100
398
+ 00:08:32,900 --> 00:08:42,580
399
+ ุงู„ู„ูŠ 4 ุนู„ู‰ 100 ูŠุนู†ูŠ 0.4 ู…ุงู†ูุนุด ุงุญุณุจ ุงู† B1 ู„ู„ูƒู„ุงู„ู€
400
+
401
+ 101
402
+ 00:08:42,580 --> 00:08:47,880
403
+ B' ู„ู„ูƒู„ ู…ุฌู…ูˆุน ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุนู„ู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ ู…ุงู†ูุนุด
404
+
405
+ 102
406
+ 00:08:47,880 --> 00:08:51,200
407
+ ุงุญูƒูŠ ุงู† ุงู„ู€ B' ู†ุณุจุฉ ุงู„ุทู„ุจุฉ ุงู„ู„ูŠ ุจูŠูุถู„ ุงู„
408
+
409
+ 103
410
+ 00:08:51,200 --> 00:08:56,860
411
+ statistics course ุจุชุณุงูˆูŠ ุงุฑุจุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุฒุงุฆุฏ ุงู„
412
+
413
+ 104
414
+ 00:08:56,860 --> 00:09:00,800
415
+ fifty ุนู„ู‰ ุงุชู†ูŠู† ุนู„ู‰ point four five ู‡ุฐุง ุงู„ูƒู„ุงู… ู‡ูŠูƒ
416
+
417
+ 105
418
+ 00:09:00,800 --> 00:09:06,720
419
+ ู…ุด ุตุญูŠุญ ู‡ู†ุนุฑู ููŠ ุญุงู„ุฉ ู…ุนูŠู†ุฉ ู…ู…ูƒู† ูŠูƒูˆู† ุตุญูŠุญ ุทุจ ุงูŠุด
420
+
421
+ 106
422
+ 00:09:06,720 --> 00:09:10,250
423
+ ุงู„ bold estimate ุงู„ู„ูŠ ู‡ู…ู„ู„ู€ overall proportion
424
+
425
+ 107
426
+ 00:09:10,250 --> 00:09:15,910
427
+ ูŠุนุทุงู†ู‰ ูŠุนู†ู‰ ุงู„ู€ B' ุนุจุงุฑุฉ ุนู† ุงูŠุด number of students
428
+
429
+ 108
430
+ 00:09:15,910 --> 00:09:20,890
431
+ who prefer this course either males and females
432
+
433
+ 109
434
+ 00:09:20,890 --> 00:09:24,650
435
+ divided by number of males plus number of females
436
+
437
+ 110
438
+ 00:09:24,650 --> 00:09:32,550
439
+ so for this specific example there are 35 males
440
+
441
+ 111
442
+ 00:09:32,550 --> 00:09:39,930
443
+ and 40 females like this courseSo 35 plus 40
444
+
445
+ 112
446
+ 00:09:39,930 --> 00:09:45,150
447
+ divided by N1 plus N2 N1 is seventy plus a hundred
448
+
449
+ 113
450
+ 00:09:45,150 --> 00:09:51,650
451
+ ุจุทู„ุน ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ุนู„ู‰ ู…ูŠุฉ ูˆ ุนุดุฑุฉ ู‡ุฐุง
452
+
453
+ 114
454
+ 00:09:51,650 --> 00:09:54,050
455
+ ุงู„ exact proportion ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ุนู„ู‰ ู…ูŠุฉ ูˆ ุนุดุฑุฉ
456
+
457
+ 115
458
+ 00:09:54,050 --> 00:10:02,430
459
+ ุนู„ู‰ ู…ูŠุฉ ูˆ ุณุจุนูŠู† ุชุทู„ุน ุงุฑุจุน ู…ู† ุนุดุฑุฉ ุชุทู„ุน ุงุฑุจุน ู…ู†
460
+
461
+ 116
462
+ 00:10:02,430 --> 00:10:07,070
463
+ ุนุดุฑุฉ ุจุงู„ุธุจุท ูˆู„ุง ุจุฏู‡ุง ุดู…ูŠุฉ ุทูŠุจ ูˆ ุงู„ุงุฑุจุน ู…ู†ุฒู„ ุงุฑุจุน
464
+
465
+ 117
466
+ 00:10:07,070 --> 00:10:13,420
467
+ ู…ู† ุนุดุฑุฉุจุทู„ุน 44 ู„ุญุธุฉ
468
+
469
+ 118
470
+ 00:10:13,420 --> 00:10:16,440
471
+ ุงู„ู„ูŠ ู‚ูˆู„ู‡ุง ุงุด ุทู„ุนุช 45 ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
472
+
473
+ 119
474
+ 00:10:16,440 --> 00:10:17,060
475
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
476
+
477
+ 120
478
+ 00:10:17,060 --> 00:10:17,340
479
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
480
+
481
+ 121
482
+ 00:10:17,340 --> 00:10:17,980
483
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
484
+
485
+ 122
486
+ 00:10:17,980 --> 00:10:19,560
487
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
488
+
489
+ 123
490
+ 00:10:19,560 --> 00:10:19,960
491
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
492
+
493
+ 124
494
+ 00:10:19,960 --> 00:10:29,960
495
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
496
+
497
+ 125
498
+ 00:10:29,960 --> 00:10:32,460
499
+ ุงุชู†ูŠู†
500
+
501
+ 126
502
+ 00:10:35,930 --> 00:10:39,870
503
+ ุงู„ู€ 70 ู…ู„ูŠูˆู† ูˆุงู„ู€ 70 ู…ู„ูŠูˆู† ู‡ู†ุง ูˆุฌู…ุงุนุชู‡ู… ุจูŠู†ูุน ุฎู„ุงุต
504
+
505
+ 127
506
+ 00:10:39,870 --> 00:10:42,830
507
+ ู‡ุชุจู‚ูˆุง ู†ูุณ ุงู„ุจุนุถ ู„ูƒู† ู„ูˆ ุนู† ุงู„ different sample
508
+
509
+ 128
510
+ 00:10:42,830 --> 00:10:46,850
511
+ sizes the bold estimate for the overall proportion
512
+
513
+ 129
514
+ 00:10:46,850 --> 00:10:50,430
515
+ is given by this equation just some of the
516
+
517
+ 130
518
+ 00:10:50,430 --> 00:10:54,950
519
+ outcomes of interest ุฃู†ุง ู…ู‡ุชู… ุจุงู„ุทู„ุจ ุงู„ู„ูŠ ุจูŠ ..
520
+
521
+ 131
522
+ 00:10:54,950 --> 00:10:58,210
523
+ ุงู„ู„ูŠ ุจูŠุญุจ class ุงู„ statistics ุนู„ู‰ ุงู„ total sample
524
+
525
+ 132
526
+ 00:10:58,210 --> 00:11:01,690
527
+ size ุฎู„ุงุต ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุงู„ุฌูŠุฏ ุจุงู„ู†ุณุจุงู„ูŠ ู„ู†ุง ู†ุณู…ูŠู‡ ุงู„
528
+
529
+ 133
530
+ 00:11:01,690 --> 00:11:05,960
531
+ .. ุงู„ bold estimate ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู…ูŠู† ู‚ุจู„ ู‡ูŠูƒุงู„ู€
532
+
533
+ 134
534
+ 00:11:05,960 --> 00:11:08,800
535
+ pool variance ุชุฐูƒุฑ ู…ุง ูƒุงู†ุช ุงู„ู€ two samplesุŸ ุทู„ุนู†ุง
536
+
537
+ 135
538
+ 00:11:08,800 --> 00:11:14,420
539
+ ุงู„ pool variance ุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ุŸ ู‡ุฐุง ู†ูุณ ุงู„ุดูŠุก ุงู„ุงู†
540
+
541
+ 136
542
+ 00:11:14,420 --> 00:11:23,520
543
+ ุงู„ Z statistic ุงู„ู„ูŠ ุนู†ุฏู†ุง ุงู„ Z star ุดูƒู„ู‡ ู…ุด ุญู„ูˆ
544
+
545
+ 137
546
+ 00:11:23,520 --> 00:11:30,120
547
+ ุงู„ุดูŠุก ุดูƒู„ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุจูŠุดุจู‡ ุจุงู„ุธุจุท ุงู„ Z
548
+
549
+ 138
550
+ 00:11:30,120 --> 00:11:35,740
551
+ score ุงู„ู„ูŠ ุฃุฎุฏู‡ุง ุดุฑุจุฑ 3ุงู„ุงู† ุฏุฑุฌุฉ ุนู„ู‰ ุดุทุฑ 3 ุฎุงู„ุต ุงู„
552
+
553
+ 139
554
+ 00:11:35,740 --> 00:11:40,220
555
+ Z ูƒุงู† ุนุจุงุฑุฉ ุนู† ุงูŠุด ุงู„ X minus ุงู„ mean ุชุจุน๏ฟฝ๏ฟฝ ู…ุด ุงู„
556
+
557
+ 140
558
+ 00:11:40,220 --> 00:11:43,460
559
+ mean ุชุจุนู‡ ุนู„ู‰ ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ ู…ุธู‡ุฑ
560
+
561
+ 141
562
+ 00:11:43,460 --> 00:11:49,000
563
+ ู‡ุฐุง ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ X ู†ู‚ุต X ุจุงุฑ ุนู„ู‰ S ู…ุด ู‡ูŠูƒ
564
+
565
+ 142
566
+ 00:11:49,000 --> 00:11:54,660
567
+ ุฎุฏู†ุง ุดุทุฑ 3 ุงู„ู„ูŠ ุจุญูƒูŠ ุนู†ู‡ ุงู„ูŠูˆู… ู‡ูˆ ู†ูุณู‡ ุจุณ ู…ุนุงู‡
568
+
569
+ 143
570
+ 00:11:54,660 --> 00:11:58,140
571
+ ุงุฎุชู„ุงู ุงูŠุด ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ ุงู†ุง ุนุงูŠุฒ ุงู„ Z stat ู„ู…ูŠู†
572
+
573
+ 144
574
+ 00:12:00,760 --> 00:12:06,100
575
+ ุงู„ู€ difference ุงู„ู„ูŠ ู‡ูˆ P1-P2ุŒ ู‡ุฐุง ุงู„ู€ X ุชุจุนุชูŠ
576
+
577
+ 145
578
+ 00:12:06,100 --> 00:12:10,580
579
+ ูˆุญุงูˆู„ูˆุง ุฃู† ุชูƒูˆู†ูˆุง ุชุจุนุฏ X ู†ู‚ุต 100 ุนู„ู‰ ุงู„ู€ SigmaุŒ ู…ุด
580
+
581
+ 146
582
+ 00:12:10,580 --> 00:12:16,720
583
+ ู‡ูŠุŸ ู†ู‚ุตุŒ ุทูŠุจุŒ ุฅูŠุด ุงู„ู€ mean ู„ู‡ ุฏูˆู„ ู…ู† ุงู„ุฃุตู„ P1-P2ุŒ
584
+
585
+ 147
586
+ 00:12:16,720 --> 00:12:21,740
587
+ ู‡ุฐุง ุงู„ุฃุตู„ ุชุจุนู†ุง ุงู„ู„ูŠ
588
+
589
+ 148
590
+ 00:12:21,740 --> 00:12:25,840
591
+ ุชุญุช ุงู„ู€ standard deviation ุงู„ู€ standard deviation
592
+
593
+ 149
594
+ 00:12:25,840 --> 00:12:37,340
595
+ ู‡ูŠ ุงู„ู‚ุฑู† ุชุจุนู‡ P-1-P-HุฃูŠ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ
596
+
597
+ 150
598
+ 00:12:37,340 --> 00:12:41,640
599
+ ุฏุงุด
600
+
601
+ 151
602
+ 00:12:41,640 --> 00:12:43,140
603
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
604
+
605
+ 152
606
+ 00:12:43,140 --> 00:12:43,180
607
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
608
+
609
+ 153
610
+ 00:12:43,180 --> 00:12:43,260
611
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
612
+
613
+ 154
614
+ 00:12:43,260 --> 00:12:43,300
615
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
616
+
617
+ 155
618
+ 00:12:43,300 --> 00:12:43,720
619
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
620
+
621
+ 156
622
+ 00:12:43,720 --> 00:12:43,720
623
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
624
+
625
+ 157
626
+ 00:12:43,720 --> 00:12:43,720
627
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
628
+
629
+ 158
630
+ 00:12:43,720 --> 00:12:59,620
631
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ
632
+
633
+ 159
634
+ 00:13:00,030 --> 00:13:04,530
635
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ chapter 9 .. ุฃู‡ chapter 10 ูƒุงู†ุช X1
636
+
637
+ 160
638
+ 00:13:04,530 --> 00:13:08,590
639
+ bar minus X2 bar ู…ุด ู‡ูŠูƒ ุงู„ difference between two
640
+
641
+ 161
642
+ 00:13:08,590 --> 00:13:14,970
643
+ population proportions minus ู…ูŠู† ุงู„ุฃุตู„ ุชุจุนู‡ู… ู…ุธุจูˆุท
644
+
645
+ 162
646
+ 00:13:14,970 --> 00:13:20,170
647
+ ุงู„ู„ูŠ ุฃุฎุฏู‡ุง ู‡ู†ุงูƒ ุญุงู„ุชูŠู† ู„ู…ุง ู†ูƒูˆู† ุงู„ variances are
648
+
649
+ 163
650
+ 00:13:20,170 --> 00:13:23,490
651
+ unknown but we assume they are equal ุฃุฎุฏู†ุง ุงู„ bold
652
+
653
+ 164
654
+ 00:13:23,490 --> 00:13:26,970
655
+ ุชุจุนู‡ู… ู…ุด ู‡ูŠูƒ ู‡ุฐุง ุงู„ bold ู‡ูˆ ู‡ุฐุง ุงู„ bold ุงู„ู„ูŠ ู‡ู†ุง
656
+
657
+ 165
658
+ 00:13:26,970 --> 00:13:29,410
659
+ ู…ุธุจูˆุท
660
+
661
+ 166
662
+ 00:13:30,020 --> 00:13:39,040
663
+ ุงู„ู„ูŠ ู‡ูˆ bold variance ูƒุงู† SยฒB ุจุนุฏูŠู† ู†ูุณ ุงู„ .. ู„ุฃ
664
+
665
+ 167
666
+ 00:13:39,040 --> 00:13:42,920
667
+ ู…ุงููŠุด ุทุฑู‚ ุจุงู„ุงุชู†ูŠู† ุงุฎุชู„ู ุจุณ ุงู†ุง ุจุชูƒู„ู… ู‡ู†ุงูƒ ุนู„ู‰
668
+
669
+ 168
670
+ 00:13:42,920 --> 00:13:48,360
671
+ means ู‡ู†ุง proportions ูุงู„ู…ู‚ุงู… ู‡ูŠุฎุชู„ู ู‡ูŠูƒูˆู† ุงู„ bold
672
+
673
+ 169
674
+ 00:13:48,360 --> 00:13:52,260
675
+ variance ู‡ูŠ ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ุงู„ bold S proportion ุจP'
676
+
677
+ 170
678
+ 00:13:52,620 --> 00:13:58,720
679
+ times 1-P'ุฎู„ุงุต ุทุจุนุง ุงู„ b' ู‡ูŠ ู‚ุงู†ูˆู†ู‡ ูˆ ู‡ูŠ b1 ูˆ ู‡ูŠ
680
+
681
+ 171
682
+ 00:13:58,720 --> 00:14:04,380
683
+ b2 ุงู†ุง ููŠ ุงู„ุงู…ุชุญุงู†ุงุช ุจุนุทูŠูƒ ุงู„ุตูุญู‡ ู‡ุฐู‡ ุจุงู„ูƒุงู…ู„
684
+
685
+ 172
686
+ 00:14:04,380 --> 00:14:09,920
687
+ ู‚ุงู†ูˆู† ู‡ุฐุง ูˆ b' ูˆ b1 ูˆ b2 ุฎู„ุงุต ูŠุนู†ูŠ ููŠ ุงู„ุงู…ุชุญุงู†ุงุช
688
+
689
+ 173
690
+ 00:14:09,920 --> 00:14:13,600
691
+ ุชุจุนู‡ู… ุงู„ุชู„ุงุชุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุจุนุทูŠูƒ formula sheet ุงู„ู‰
692
+
693
+ 174
694
+ 00:14:13,600 --> 00:14:14,780
695
+ chapter 9 ูˆ chapter 10
696
+
697
+ 175
698
+ 00:14:21,690 --> 00:14:25,130
699
+ ู‡ุฏูˆู„ ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ู… ุงู„ lower tail ูˆ upper tail ูˆ
700
+
701
+ 176
702
+ 00:14:25,130 --> 00:14:30,650
703
+ two-tailed test ุฎู„ุงุต ุดูˆู ุงู„ุจุงุนุฏู‡ุง ุงู„ุงู† ุงู„ู…ู†ุทู‚ุฉ
704
+
705
+ 177
706
+ 00:14:30,650 --> 00:14:35,510
707
+ ุงู„ู„ูŠ ู‡ู†ุง ุจุชุญุฏุฏ ุงู„ rejection regions ู„ูˆ ูƒู†ุช ุนู†ุฏู‰
708
+
709
+ 178
710
+ 00:14:35,510 --> 00:14:38,350
711
+ two-tailed test ู„ูˆ ูƒู†ุช ุนู†ุฏู‰ two rejection regions
712
+
713
+ 179
714
+ 00:14:38,350 --> 00:14:42,270
715
+ ุฅุฐุง ูƒุงู† ุนู†ุฏู‰ level of significance Alpha Alpha
716
+
717
+ 180
718
+ 00:14:42,270 --> 00:14:45,490
719
+ ุชุชุฌุณู… Alpha over two to the right Alpha over two
720
+
721
+ 181
722
+ 00:14:45,490 --> 00:14:49,890
723
+ to the left ู‡ูŠูƒ ู…ุฌู…ูˆุญ ู…ู† Alphaูˆู†ู†ู‚ู„ ุฅุฐุง ู‚ูŠู…ุฉ
724
+
725
+ 182
726
+ 00:14:49,890 --> 00:14:53,430
727
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุชุชุฎู„ุต ู…ู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ Rejection Region ู…ุน
728
+
729
+ 183
730
+ 00:14:53,430 --> 00:14:59,250
731
+ ูƒุฏู‡ ุงู„ู€ Z ู‡ู†ุง ูŠุนู†ูŠ Z ุฃูƒุชุฑ ู…ู† Z ุฃู„ู ุฃูƒุชุฑ ู…ู† 2 ุฃูˆ ููŠ
732
+
733
+ 184
734
+ 00:14:59,250 --> 00:15:02,750
735
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุฃู‚ู„ ู…ู† ู†ู‚ู„ Z ุฃู„ู ุฃูƒุชุฑ ู…ู† 2 ุงู„ูƒู„ุงู…
736
+
737
+ 185
738
+ 00:15:02,750 --> 00:15:05,850
739
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ููŠ ู†ู‚ุทุฉ ุชุณุนุฉ ู…ูƒุฑุฑุŒ ู‡ุฐุง ุงู„ู€
740
+
741
+ 186
742
+ 00:15:05,850 --> 00:15:10,150
743
+ slide ู‡ูˆ ู†ูุณู‡ุŒ ุจุณ ู‡ู†ุง ุนู„ู‰ ุงู„ู€ Proportions ุงู„ู€
744
+
745
+ 187
746
+ 00:15:10,150 --> 00:15:13,210
747
+ Upper tail ูŠูƒูˆู† ุนู†ุฏูŠ just one rejection region to
748
+
749
+ 188
750
+ 00:15:13,210 --> 00:15:16,530
751
+ the right side ูˆู†ู†ู‚ู„ ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ุชุชุฎู„ุต ู…ู†
752
+
753
+ 189
754
+ 00:15:16,530 --> 00:15:22,240
755
+ ู…ู‚ุงุฑู†ุฉู‡ุฐุง ูŠุนู†ูŠ ุฃู† Z-Stat ุฃูƒุจุฑ ู…ู† Z-Alpha ูˆุฅุฐุง ูƒู†ุง
756
+
757
+ 190
758
+ 00:15:22,240 --> 00:15:26,280
759
+ ู†ุชุญุฏุซ ุนู† ุชู„ุชุงุช ุฃุณูู„ุŒ ุฃุนู†ูŠ ุฅู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ูŠุณุงุฑุฉุŒ ุซู…
760
+
761
+ 191
762
+ 00:15:26,280 --> 00:15:29,880
763
+ ู†ู†ุฌุญ ุฅุฐุง ูƒุงู†ุช ุชุงุฑูŠุฎ Z ูŠุณู‚ุท ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
764
+
765
+ 192
766
+ 00:15:29,880 --> 00:15:34,660
767
+ ุงู„ุชู†ู‚ู„ูŠุฉุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู† Z-Stat ุฃู‚ู„ ู…ู† ู†ู‚ู„ Z-AlphaุŒ
768
+
769
+ 193
770
+ 00:15:34,660 --> 00:15:43,860
771
+ ูˆุงู†ุชุจู‡ ุฅู„ู‰ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉุฃูˆ ูŠู‚ู„ ู‚ูŠู…ุฉ ุงู„ู€ Alpha ูู‚ุท ู…ุน
772
+
773
+ 194
774
+ 00:15:43,860 --> 00:15:48,800
775
+ ุตูŠู†ุฉ ุนูƒุณูŠุฉ ู‡ุฐู‡ ู†ูŠุฌุงุชูŠู‡ ูˆุงู„ุชุงู†ูŠ ู‡ุชูƒูˆู† positive ุฅุฐุง
776
+
777
+ 195
778
+ 00:15:48,800 --> 00:15:58,280
779
+ ูƒู†ุง ู†ุชูƒู„ู… ุนู† 5% Alpha 5 ูู‚ูŠู…ุชู‡ ู‡ูŠ ู†ูŠุฌุงุชูŠู‡ 1.645
780
+
781
+ 196
782
+ 00:15:58,280 --> 00:16:04,520
783
+ ูˆู‡ุฐุง ู‡ูˆ ู†ูุณู‡ ู‡ุฐุง
784
+
785
+ 197
786
+ 00:16:04,520 --> 00:16:12,710
787
+ ุตุญูŠุญ ู„ู€ Alpha5% and for two sided test the alpha
788
+
789
+ 198
790
+ 00:16:12,710 --> 00:16:17,250
791
+ over two ุงูŠุด ุจุชุณุงูˆูŠ ู‡ู†ุง one point nine six
792
+
793
+ 199
794
+ 00:16:17,250 --> 00:16:22,230
795
+ negative one nine six ู„ุงุญุธ ู†ูุณ ุงู„ู‚ูŠู… ุจุณ ุงู„ุงุฎุชู„ุงู
796
+
797
+ 200
798
+ 00:16:22,230 --> 00:16:25,490
799
+ ุงูŠุด positive or negative that's two if alpha
800
+
801
+ 201
802
+ 00:16:25,490 --> 00:16:30,970
803
+ equals five percent questions ุงูŠ ุณุคุงู„ ู„ุญุธุฉ ูƒู„ู‡
804
+
805
+ 202
806
+ 00:16:30,970 --> 00:16:36,030
807
+ ู…ูƒุฑุฑ ุงู†ุชูˆุง ู…ู„ูŠุชู‡ ู…ู†ู‡ ู…ุด ู‡ูŠ ุจุชุนุฑููˆุง ุงุฒุงูŠ ูƒูŠู ูˆุงุญุฏ
808
+
809
+ 203
810
+ 00:16:36,030 --> 00:16:41,790
811
+ ุจูŠุจู†ูŠ ุนู…ุงุฑุฉ ู‡ู†ุงุจูŠุฃุณุณ .. ุจุนุฏูŠู† ุจูŠุจุฏุฃ .. ุงู„ุฃุณุงุณ
812
+
813
+ 204
814
+ 00:16:41,790 --> 00:16:46,330
815
+ ุชุจุนู†ุง chapter 3 ู‡ูˆ ุฃูˆู„ chapter ูˆ chapter 6 ุจุนุฏูŠู†
816
+
817
+ 205
818
+ 00:16:46,330 --> 00:16:51,030
819
+ ุจุนุฏูŠู† ุจูŠุตูŠุฑ ู…ูƒุฑุฑ ู…ุธู„ูˆู… ุทุงุจู‚ ู…ูƒุฑุฑ ุชุงู†ูŠ ุฒูŠ ุงู„ุชุงู„ูŠ ุฒูŠ
820
+
821
+ 206
822
+ 00:16:51,030 --> 00:16:54,350
823
+ ุงู„ุฑุงุจุน ุงู„ู„ูŠ ุฌุงูŠ ุชุจู‚ู‰ ุญุฏ ู…ุง ูŠุฎู„ุต ูุจุงู„ุชุงู„ูŠ ุงู„ุฌุซุฉ
824
+
825
+ 207
826
+ 00:16:54,350 --> 00:16:58,910
827
+ ุตุงุฑุช ู…ูู‡ูˆู…ุฉ ุนุดุงู† ูƒุฏู‡ ู„ูˆ ุงุณุชูˆุนุจุช ุงู„ basic
828
+
829
+ 208
830
+ 00:16:58,910 --> 00:17:01,830
831
+ principles ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ chapter 3 ูˆ chapter
832
+
833
+ 209
834
+ 00:17:01,830 --> 00:17:06,880
835
+ 6ู…ู…ูƒู† ุชูƒูˆู† ุจุงู„ู†ุณุจุงู„ูƒ ุณู‡ู„ุฉ ุจุนุฏูŠู† ู‡ูŠุจู‚ู‰ ุชุดุจุท ุชุณุนุฉ
836
+
837
+ 210
838
+ 00:17:06,880 --> 00:17:11,160
839
+ ุฃูˆู„ ูˆ ุจุนุฏูŠู† ุชุตูŠุฑ ุนู…ู„ูŠุฉ ุชุชูƒุฑุฑ ุนุดุงู† ูƒุฏู‡ ู„ุญุธุฉ ุจุดูƒู„
840
+
841
+ 211
842
+ 00:17:11,160 --> 00:17:15,920
843
+ ุนุงู… ุฅุฐุง ุทุงู„ุน ูุงู‡ู…ู‡ุง ุฎู„ุงุต ุชุตูŠุฑ ุงู„ุนู…ู„ูŠุฉ ุจุงู„ู†ุณุจุงู„ู‡
844
+
845
+ 212
846
+ 00:17:15,920 --> 00:17:26,000
847
+ ุณู‡ู„ุฉ ู†ุงุฎุฏ example ุฑูƒุฒูŠูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ example ุณู‡ู„
848
+
849
+ 213
850
+ 00:17:32,900 --> 00:17:38,320
851
+ ุจุญูƒูŠ is there a significant difference between the
852
+
853
+ 214
854
+ 00:17:38,320 --> 00:17:42,000
855
+ proportion of men and the proportion of women ู„ุญุธุฉ
856
+
857
+ 215
858
+ 00:17:42,000 --> 00:17:49,120
859
+ ุงู„ keywords ู„ู„ู…ุซู„ุฉ ู…ู‡ู… ุฌุฏุง ุฃุนุฑูู‡ุง ู…ูุงุชูŠุญ ุงู„ุณุคุงู„ ููŠ
860
+
861
+ 216
862
+ 00:17:49,120 --> 00:17:54,840
863
+ ุจุนุถ ุงู„ูƒู„ู…ุงุช ุจุชุณู…ูŠู‡ุง ูƒู„ู…ุงุช ู…ูุชุงุญูŠุฉ ุงู„ keywords ู…ู†
864
+
865
+ 217
866
+ 00:17:54,840 --> 00:17:58,300
867
+ ุฎู„ุงู„ู‡ุง ุจุงุนุฑู ุฅูŠุด ุงู„ู‚ุงู†ูˆู† ู‡ุณุชุฎุฏู…ู‡ุง ู„ุฅู† ุฃู†ุง ููŠ
868
+
869
+ 218
870
+ 00:17:58,300 --> 00:18:02,330
871
+ ุงู„ุงู†ุชุญุงุฑ ุจุนุทูŠูƒ ููˆุฑู… ุงู„ุงุดูŠุงุช ุจุณ ุจุญูƒูŠุด ู„ูƒู‡ุฐุง ุงู„ู‚ุงู†ูˆู†
872
+
873
+ 219
874
+ 00:18:02,330 --> 00:18:05,150
875
+ ู„ุณุคุงู„ ุชู„ุงุชุฉ ูˆ ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ู„ุณุคุงู„ ุฃุฑุจุนุฉ ุจุฃุนุทูŠูƒ ุฅูŠุงู‡ู…
876
+
877
+ 220
878
+ 00:18:05,150 --> 00:18:11,730
879
+ ุนู„ู‰ ุจุนุถ ูˆ ุฃู†ุช ู„ุญุงู„ูƒ ุชุฎุชุงุฑ ูŠู…ูƒู† ูŠูƒูˆู† ููŠู‡ู… ุฒูŠุงุฏุฉ ุจุณ
880
+
881
+ 221
882
+ 00:18:11,730 --> 00:18:14,670
883
+ ู…ุงููŠุด ู†ู‚ุต ููŠู‡ู… ู‡ู… ูƒู„ู‡ู… ู…ูˆุฌูˆุฏุฉ ุจุงู„ุชุงู„ูŠ ุงู„ keywords
884
+
885
+ 222
886
+ 00:18:14,670 --> 00:18:20,790
887
+ ุจุชุงุนุชูƒ ู…ู† ุงู„ู…ุซู„ ู†ูุณู‡ ูˆ ุนู„ู‰ ุฅูŠุด ุจูŠุญูƒูŠุŸ ุจูŠุญูƒูŠ ุนู„ู‰
888
+
889
+ 223
890
+ 00:18:20,790 --> 00:18:24,450
891
+ difference ุฃูˆู„ ู…ุง ุจูŠุญูƒูŠ ุนู„ู‰ difference ู…ุน ูƒุฏู‡ ู…ุด
892
+
893
+ 224
894
+ 00:18:24,450 --> 00:18:29,430
895
+ one sample ุฃูƒูŠุฏ two samples ู„ูƒู† ู‡ู„ ู‡ู…ุง means ูˆ ู„ุง
896
+
897
+ 225
898
+ 00:18:29,430 --> 00:18:33,850
899
+ proportionsุŸ ู‡ุญูƒูŠู„ูƒ ุจุชูˆุถูŠุญูŠุนู†ูŠ specific words
900
+
901
+ 226
902
+ 00:18:33,850 --> 00:18:37,090
903
+ between the proportion ุจุชูƒู„ู…ู‡ุง ุนู„ู‰ proportion
904
+
905
+ 227
906
+ 00:18:37,090 --> 00:18:39,990
907
+ ุงู†ุชู‡ุช ุงู„ู‚ุตุฉ ู…ุง ุงู†ุง ูƒุฏู‡ ุงู†ุง ุจุนุทูŠูƒ ุงู„ formula ุดูŠุช ูˆ
908
+
909
+ 228
910
+ 00:18:39,990 --> 00:18:46,750
911
+ ุณู„ุงู…ุชูŠ ู‡ุชุทู„ุนูŠ ุนู„ู‰ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุงู„ proportions ูˆุงุถุญุŸ
912
+
913
+ 229
914
+ 00:18:46,750 --> 00:18:50,930
915
+ ุฅุฐุง ุตุงุฑ ู„ุฅู† ู†ุต ุงู„ุณุคุงู„ ุงู†ุญู„ ุทุงู„ู…ุง ู†ุนุฑูุช ุงู„ู‚ุงู†ูˆู†
916
+
917
+ 230
918
+ 00:18:50,930 --> 00:18:56,930
919
+ ุงู„ุตุญูŠ ุทุจุนุง of men and proportion of women ู‡ูˆ ุงู„
920
+
921
+ 231
922
+ 00:18:56,930 --> 00:19:01,400
923
+ vote yes ู‡ูˆ ุดุฎุต ุฅู…ุง ุจูŠุญูƒูŠ ู†ุนู… ุฃูˆ ุจูŠุญูƒูŠ ู„ุงุทุงู„ู…ุง
924
+
925
+ 232
926
+ 00:19:01,400 --> 00:19:04,060
927
+ ุฃุชูƒู„ู… ู†ุนู…ู„ู‡ ๏ฟฝ๏ฟฝุนู†ูŠ qualitative data ู…ุน ูƒุฏู‡ ุนู†ุฏูŠ
928
+
929
+ 233
930
+ 00:19:04,060 --> 00:19:08,640
931
+ proportions ุจูƒู„ ุชุฃูƒูŠุฏ on a proposition A ููŠ
932
+
933
+ 234
934
+ 00:19:08,640 --> 00:19:12,660
935
+ ุงู†ุชุฎุงุจุงุช ุจุฏูŠ ุฃูŠุฏ party one ูˆ party two ู…ูุชุฑุถ ุงู„
936
+
937
+ 235
938
+ 00:19:12,660 --> 00:19:16,480
939
+ two parties ูˆุงุญุฏุฉ ูˆ ุงู„ุชุงู†ูŠุฉ ู…ู…ูƒู† ุฃูŠุฏ ูุตูŠู„ A ูˆ
940
+
941
+ 236
942
+ 00:19:16,480 --> 00:19:20,900
943
+ ุงู„ุชุงู†ูŠุฉ ุฃูŠุฏ ูุตูŠู„ B ูˆ ู‡ูƒุฐุง in a random sample ุฃุฎุฏ
944
+
945
+ 237
946
+ 00:19:20,900 --> 00:19:27,670
947
+ ุนูŠู†ุฉ ู‚ุดูˆูŠุฉ 36 of 70 menู„ุญุธุฉุŒ ุงุด ุจูŠุญูƒูŠ .. ุณุชุฉ ูˆ
948
+
949
+ 238
950
+ 00:19:27,670 --> 00:19:30,550
951
+ ุชู„ุงุชูŠู† ู…ู† ุงุชู†ูŠู† ูˆ ุณุจุนุฉ ุฑุงุฌู„ and thirty-five of
952
+
953
+ 239
954
+ 00:19:30,550 --> 00:19:35,250
955
+ fifty women indicated they would vote yes ูŠุนู†ูŠ
956
+
957
+ 240
958
+ 00:19:35,250 --> 00:19:44,190
959
+ ุงู„ู„ูŠ ุจุฏูŠู‡ ูŠุญูƒูŠ ู†ุนู… ููŠู‡ ุฃู†ุฏู†ูˆุนูŠู†ุŒ men ูˆ women ุงู„ู…ู†
960
+
961
+ 241
962
+ 00:19:44,190 --> 00:19:52,250
963
+ ูƒุงู†ุช ุฅูŠุด ุนุฏุฏู‡ู…ุŸ seventy-two ููƒุงู† ูˆุงุญุฏ ุญูƒู‰ yesุฃู†ุง
964
+
965
+ 242
966
+ 00:19:52,250 --> 00:19:56,490
967
+ ู…ู‡ุชู… ุจุงู„ู€ 36 ู‡ุฏูˆู„ุŒ ุงู„ู€ 36 of men voted yes ู„ุฃูŠ
968
+
969
+ 243
970
+ 00:19:56,490 --> 00:20:02,390
971
+ proposition ูŠุนู†ูŠ ูˆ ุงู„ women ูƒุงู†ูˆุง ูˆุงุญุฏุฉ ุฎู…ุณูŠู†
972
+
973
+ 244
974
+ 00:20:02,390 --> 00:20:08,070
975
+ ูˆ ู„ุญุงูƒุฉ ู†ุนู… 35 ุฅุฐุง ุฃู†ุง ุฃุฎุฏุช ุงู„ data ู…ู† ู‡ู†ุง ูˆ ูˆุงุถุญ
976
+
977
+ 245
978
+ 00:20:08,070 --> 00:20:16,410
979
+ ูƒูŠู ู‚ุฑุฃุชู‡ุง ูุจุญูƒูŠ test at a five percent level of
980
+
981
+ 246
982
+ 00:20:16,410 --> 00:20:19,930
983
+ significance if there is ู‡ูˆ ุจูŠุณุฃู„ ุงู„ุณุคุงู„ ุงู„ูุฌูˆู‡ is
984
+
985
+ 247
986
+ 00:20:19,930 --> 00:20:23,290
987
+ there a significant differenceูŠุนู†ูŠ ู…ุง ุฃูƒูŠุฏ ู„ูˆ
988
+
989
+ 248
990
+ 00:20:23,290 --> 00:20:25,790
991
+ ูƒุฏุจุชูˆุง ุจุฅู† ุงู„ู„ู‡ hypothesis ุฃูƒูŠุฏ ฯ€ุงูŠ ูˆุงู† equal ุจุงูŠ
992
+
993
+ 249
994
+ 00:20:25,790 --> 00:20:30,750
995
+ ุชูˆู† ุงูˆ ุฅุฐุง ู…ุง ุญูƒูŠุช ุจุงูŠ ูˆุงู† minus ุจุงูŠ ุชูˆู† is dot
996
+
997
+ 250
998
+ 00:20:30,750 --> 00:20:36,010
999
+ zero sorry equals zero equals
1000
+
1001
+ 251
1002
+ 00:20:36,010 --> 00:20:39,370
1003
+ zero ุทุจ ุงู„ alternate ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ู‡ู†ุง ููŠ ุงู„ู…ุซู„ุฉ
1004
+
1005
+ 252
1006
+ 00:20:39,370 --> 00:20:43,670
1007
+ ู…ุงุญูƒุงุด ุฃู†ู‡ ุงู„ุฃูˆู„ ุฃุนู„ู‰ ุฃูˆ ุงู„ุฃูˆู„ ุฃู‚ู„ ุจูŠุญูƒูŠ ู‡ู„ ููŠ ูุฑู‚
1008
+
1009
+ 253
1010
+ 00:20:43,670 --> 00:20:50,370
1011
+ ูˆู„ุง ู„ุฃุŸ ู…ุง ุฃูƒูŠุฏ ู‡ุงุช two sided ูˆู„ุง one sidedุŸุทุจุนุง
1012
+
1013
+ 254
1014
+ 00:20:50,370 --> 00:20:53,870
1015
+ ุงู„ุงุชุฌุงู‡ ู…ุด ูˆุงุถุญ ู…ุงุญูƒุงุด increases ุงูˆ decreases ุงูˆ
1016
+
1017
+ 255
1018
+ 00:20:53,870 --> 00:20:56,530
1019
+ smaller ุงูˆ greater ุงู† ุงู†ุง ุจุญูƒูŠ there is a
1020
+
1021
+ 256
1022
+ 00:20:56,530 --> 00:20:59,510
1023
+ difference ุจุณ ู…ุน ูƒุฏู‡ by one does not equal by two
1024
+
1025
+ 257
1026
+ 00:20:59,510 --> 00:21:06,370
1027
+ ุงุฐุง ู…ุนู†ุงู‡ ุงู† by one minus by two is not zero ุงู†ุง
1028
+
1029
+ 258
1030
+ 00:21:06,370 --> 00:21:12,570
1031
+ ุฃุฎุฏุช ุงู„ู…ุนู„ูˆู…ุฉ ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ุณุคุงู„ ู†ูุณูŠ ูุจุญูƒูŠ
1032
+
1033
+ 259
1034
+ 00:21:12,570 --> 00:21:15,170
1035
+ is there a difference ุงูˆ significant difference
1036
+
1037
+ 260
1038
+ 00:21:15,170 --> 00:21:16,230
1039
+ between the proportion
1040
+
1041
+ 261
1042
+ 00:21:19,070 --> 00:21:23,470
1043
+ ุฅุฐุง ู‡ุฐู‡ ุงู„ุฃูˆู„ู‰ ู…ุนู†ุงู‡ุง by one minus by two equals
1044
+
1045
+ 262
1046
+ 00:21:23,470 --> 00:21:29,270
1047
+ zero ุงู„ู…ุนู†ุงู‡ ุฏู‡ two proportions are equal we are
1048
+
1049
+ 263
1050
+ 00:21:29,270 --> 00:21:32,150
1051
+ testing this null hypothesis against alternate
1052
+
1053
+ 264
1054
+ 00:21:32,150 --> 00:21:35,910
1055
+ hypothesis by one minus by two is not zero this
1056
+
1057
+ 265
1058
+ 00:21:35,910 --> 00:21:39,350
1059
+ means there is significant difference between the
1060
+
1061
+ 266
1062
+ 00:21:39,350 --> 00:21:45,050
1063
+ proportions ุจุนุฏ ู…ุง ุฃุนู…ู„ ุญุณุงุจุงุชูŠ ุงู„ุญุณุงุจุงุช ุงู„ุนุงุฏูŠุฉ
1064
+
1065
+ 267
1066
+ 00:21:45,050 --> 00:21:49,720
1067
+ ุจุชุทู„ุน ุงู„ proportion ู„ ุงู„ min ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู…ุงู„ู„ูŠ ู‡ูŠ
1068
+
1069
+ 268
1070
+ 00:21:49,720 --> 00:22:00,000
1071
+ x1 over n1 ุงู„ู„ูŠ ู‡ูŠ 36 over 72 ู‡ุฐู‡ 50% ุงู„
1072
+
1073
+ 269
1074
+ 00:22:00,000 --> 00:22:07,440
1075
+ proportion ู„ู„ women who voted yes is x2 over n2 35
1076
+
1077
+ 270
1078
+ 00:22:07,440 --> 00:22:14,960
1079
+ ุนู„ู‰ 50 70% ุดูˆููˆุง ุฒูŠ ู…ุง ุญูƒูŠุช ู…ู† ุงู„ุฃูˆู„ ู…ู†ูุนุด ุฃุทู„ุน ุงู„
1080
+
1081
+ 271
1082
+ 00:22:14,960 --> 00:22:17,360
1083
+ B' ุฃุฌู…ุญู‡ู…
1084
+
1085
+ 272
1086
+ 00:22:18,980 --> 00:22:23,600
1087
+ ูˆ ุงุฌุณู…ู‡ุง ุงุชู†ูŠู† ูŠุนู†ูŠ ุณุชุฉ ู…ู† ุนุดุฑ ู‡ูŠ ุฏูŠ ู…ุด ุตุญ ุญุชู‰ ูˆุฅู†
1088
+
1089
+ 273
1090
+ 00:22:23,600 --> 00:22:26,660
1091
+ ูƒุงู†ุช ู‚ุฑูŠุจุฉ ู„ู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ุง ู„ูŠุดุŸ ู„ุฃู† ุงู„
1092
+
1093
+ 274
1094
+ 00:22:26,660 --> 00:22:31,180
1095
+ sample sizes ู…ุงู„ู‡ู… ุฒูŠ ุจุนุถ ู„ูˆ ุฒูŠ ุจุนุถ ุงู†ุง ู…ุงููŠุด
1096
+
1097
+ 275
1098
+ 00:22:31,180 --> 00:22:35,860
1099
+ ู…ุดูƒู„ุฉ ูุจุทู„ุน ุงู„ bold estimate for the overall
1100
+
1101
+ 276
1102
+ 00:22:35,860 --> 00:22:42,660
1103
+ proportion ู‡ูŠ B' ู„ูŠู‡ X1 plus X2 over N1 plus N2
1104
+
1105
+ 277
1106
+ 00:22:45,810 --> 00:22:55,350
1107
+ Lix is 35 and 70 sorry 71 the total over n1 plus
1108
+
1109
+ 278
1110
+ 00:22:55,350 --> 00:23:05,270
1111
+ n2 is 72 plus 50 is 122 ู…ุฌุฑุณ ู…ูˆุงุญุณ ุจูŠู† 122 ููŠ 958
1112
+
1113
+ 279
1114
+ 00:23:05,270 --> 00:23:08,590
1115
+ ู‡ุฐู‡
1116
+
1117
+ 280
1118
+ 00:23:08,590 --> 00:23:12,750
1119
+ ุงู„ู€ exact proportion ู‡ุฐู‡ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง
1120
+
1121
+ 281
1122
+ 00:23:16,610 --> 00:23:20,370
1123
+ ุฃู†ุง ุจุนู…ู„ computations, calculations ุนุดุงู† ุฃุณุชุทูŠุน ุงู„
1124
+
1125
+ 282
1126
+ 00:23:20,370 --> 00:23:26,970
1127
+ Z statistic ุงู„ู„ูŠ ู‡ู†ุง just plug these values into
1128
+
1129
+ 283
1130
+ 00:23:26,970 --> 00:23:33,290
1131
+ this formula to get the value of Z statistic ูZ
1132
+
1133
+ 284
1134
+ 00:23:33,290 --> 00:23:38,530
1135
+ ู‡ุชุณุงูˆูŠ ุจูŠ ูˆู† ุฏุงุดุช
1136
+
1137
+ 285
1138
+ 00:23:38,530 --> 00:23:41,150
1139
+ ู…ุงู†ุณ ุจูŠ ุชูˆุฏุง ุจูŠ ูˆู† ุงูˆ ุจูŠ ูˆู† just ุจูŠ ูˆู†
1140
+
1141
+ 286
1142
+ 00:23:45,420 --> 00:23:54,280
1143
+ ุจ1.5-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0
1144
+
1145
+ 287
1146
+ 00:23:54,280 --> 00:23:57,860
1147
+ .7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7
1148
+
1149
+ 288
1150
+ 00:23:57,860 --> 00:23:58,000
1151
+ -0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0
1152
+
1153
+ 289
1154
+ 00:23:58,000 --> 00:24:00,980
1155
+ .7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7
1156
+
1157
+ 290
1158
+ 00:24:00,980 --> 00:24:02,360
1159
+ -0.7-0.7-0.7-0.7-0.7-0.7
1160
+
1161
+ 291
1162
+ 00:24:15,590 --> 00:24:24,650
1163
+ ุซู… ุชุฒูŠุฏ ู…ู† 1 ุนู„ู‰ N1 ูˆู‡ูˆ 72 plus 1 over 50 ุงู„ู„ูŠ
1164
+
1165
+ 292
1166
+ 00:24:24,650 --> 00:24:30,050
1167
+ ู„ู…ุง ุชูŠุฌูŠ ุชุญุณุจ ุงู„ุญุณุงุจุงุช ุจุฏุฃ ุดูˆูŠู‡ ุงู„ุตุจุฑ ุชุญุณุจ ููŠ
1168
+
1169
+ 293
1170
+ 00:24:30,050 --> 00:24:35,650
1171
+ ุงู„ุฃูˆู„ ุงู„ู…ู‚ุงู… ุชุงุฎุฏ ุงู„ square root ุชู†ุณูŠุด ุงู„ square
1172
+
1173
+ 294
1174
+ 00:24:35,650 --> 00:24:39,590
1175
+ root ุจุนุฏูŠู† ุชุฌุณู… ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ู†ุง ุนู„ู‰ ุงู„ square root
1176
+
1177
+ 295
1178
+ 00:24:39,590 --> 00:24:47,250
1179
+ ู„ูˆ ุฃุดุชุบู„ุช ุตุญ ุงู„ job negative2.1 ุฏุงูŠู…ุง ูŠูƒูˆู† ู‡ู†ุง
1180
+
1181
+ 296
1182
+ 00:24:47,250 --> 00:24:51,590
1183
+ index sense ู„ู„ุฅุฌุงุจุฉ ุงู„ู„ู‰ ุจุชุทู„ุน ูŠุนู†ูŠ ุงู„ proportion
1184
+
1185
+ 297
1186
+ 00:24:51,590 --> 00:24:55,890
1187
+ ุฃูˆู„ู‰ 50 ูˆุงู„ุชุงู†ู‰ ุงู„ 70 ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู‡ูŠุชุทู„ุน ุจุงู„
1188
+
1189
+ 298
1190
+ 00:24:55,890 --> 00:25:02,030
1191
+ negative ู…ุธุจูˆุทุŸ ู„ุฅู† ุทุงู„ู…ุง ุฃู‡ุฏ ุงู„ 50% ูˆ ุฃู‡ุฏ ุงู„ 70
1192
+
1193
+ 299
1194
+ 00:25:02,030 --> 00:25:05,670
1195
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู† ุงู†ุง ูˆ ุงู†ุง ู…ูˆุฌูˆุฏ ู„ุฃู† ุงู„ B1 ุฃู‚ู„ ู…ู† ุงู„
1196
+
1197
+ 300
1198
+ 00:25:05,670 --> 00:25:09,180
1199
+ B2 ู…ุน ูƒุฏู‡ ุงู„ุฌูˆุงุจ ู„ุงุฒู… ูŠุทู„ุน ู…ุนุงู‡ ุจุงู„ negativeุฃู†ุง
1200
+
1201
+ 301
1202
+ 00:25:09,180 --> 00:25:12,640
1203
+ ุฎุจุฑุชูƒ ุงู„ุฅุดุงุฑุฉ ู…ู…ูƒู† ุชุฎุฑุจ ู…ุด ุจุงู‚ูŠ ุงู„ู…ุซู„ุฉุŒ ูˆุงุถุญุŸ
1204
+
1205
+ 302
1206
+ 00:25:12,640 --> 00:25:16,080
1207
+ ุจุงู„ุฐุงุช ู„ูˆ ูƒุงู† multiple choice ุงุญูƒูŠู„ูƒ ุจุงู„ู†ุณุจุฉ
1208
+
1209
+ 303
1210
+ 00:25:16,080 --> 00:25:19,800
1211
+ ู„ุฅูŠุฌุงุจุชูƒ ููŠ ุจูŠู‡ุŒ ููŠ ุงูŠู‡ุŒ ููŠ ูˆุงุญุฏุŒ ุฅูŠุด ุฅูŠุฌุงุจุชูƒ ููŠ
1212
+
1213
+ 304
1214
+ 00:25:19,800 --> 00:25:23,080
1215
+ ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ูˆุงุถุญ ุจุงุฎุชู„ูุŒ ุจุงู„ุชุงู„ูŠ ู„ูˆ ุฃู†ุง ุบู„ุทุช ุฑุจู…ุง
1216
+
1217
+ 305
1218
+ 00:25:23,080 --> 00:25:26,320
1219
+ ููŠ ุงู„ุฅุดุงุฑุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ุทูŠุฑ ุงู„ู…ุซู„ุฉุŒ ูˆุงุถุญุŸ
1220
+
1221
+ 306
1222
+ 00:25:30,580 --> 00:25:34,540
1223
+ ุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ูŠุฉ ู…ู‡ู…ุฉ ุฌุฏุง ุชุทู„ุน ู„ู€ Critical values
1224
+
1225
+ 307
1226
+ 00:25:34,540 --> 00:25:38,000
1227
+ ู‡ู†ุง ู†ุชุญุฏุซ ุนู† ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1228
+
1229
+ 308
1230
+ 00:25:38,000 --> 00:25:38,080
1231
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1232
+
1233
+ 309
1234
+ 00:25:38,080 --> 00:25:38,700
1235
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1236
+
1237
+ 310
1238
+ 00:25:38,700 --> 00:25:41,080
1239
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1240
+
1241
+ 311
1242
+ 00:25:41,080 --> 00:25:41,360
1243
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1244
+
1245
+ 312
1246
+ 00:25:41,360 --> 00:25:42,980
1247
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1248
+
1249
+ 313
1250
+ 00:25:42,980 --> 00:25:48,160
1251
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1252
+
1253
+ 314
1254
+ 00:25:48,160 --> 00:25:56,360
1255
+ ุงุชุตุงู„ูŠู† ุงูˆ
1256
+
1257
+ 315
1258
+ 00:25:56,360 --> 00:26:01,600
1259
+ ุงู‡ุคู„ุงุก ู‡ู… ุงู„ู‚ูŠู… ุงู„ุฑุฆูŠุณูŠุฉ ูู‡ุฐุง ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ู‚ูŠู…
1260
+
1261
+ 316
1262
+ 00:26:01,600 --> 00:26:08,140
1263
+ ุงู„ุงู†ุชุฌุงุฑ ุชุณู‚ุท ููŠ ุฃุนู„ู‰ ุญุงุฌุฉ ุงู„ุทุฑู ุงู„ุฃูŠู…ู† ูŠุนู†ูŠ ุฅุฐุง
1264
+
1265
+ 317
1266
+ 00:26:08,140 --> 00:26:13,060
1267
+ ูƒุงู† ุงู„ู‚ูŠู… ุฃูƒุจุฑ ู…ู† 196 ุฃูˆ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุฃุณูู„ ุฃู‚ู„ ู…ู†
1268
+
1269
+ 318
1270
+ 00:26:13,060 --> 00:26:20,480
1271
+ ู†ู‚ู„ 1.96 ุซู… ู†ู†ูุฐ ุงู„ู‡ูŠุจูˆุทูŠุฒ ุงู„ุงู† ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ุชุณู‚ุท
1272
+
1273
+ 319
1274
+ 00:26:20,480 --> 00:26:25,160
1275
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑุฆูŠุณูŠุฉุŸ ูˆุงุถุญ ู…ูˆุฌูˆุฏ ู‡ู†ุง ู…ุด ู‡ูŠูƒู…ุน ูƒุฏู‡
1276
+
1277
+ 320
1278
+ 00:26:25,160 --> 00:26:29,920
1279
+ ููŠ ุงู„ rejection ุฅุฐุง ุงู„ decision reject the null
1280
+
1281
+ 321
1282
+ 00:26:29,920 --> 00:26:36,300
1283
+ hypothesis ุฅุฐุง ุงู„ decision reject ุงู„ zero this
1284
+
1285
+ 322
1286
+ 00:26:36,300 --> 00:26:39,360
1287
+ means there is evidence of a significant
1288
+
1289
+ 323
1290
+ 00:26:39,360 --> 00:26:42,480
1291
+ difference in the proportion of men and women ููŠ
1292
+
1293
+ 324
1294
+ 00:26:42,480 --> 00:26:46,940
1295
+ ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ูŠุนู†ูŠ ู‡ุฐุง ู…ุนู†ุงู‡ ุงู„ conclusion ุชุจุนูŠ
1296
+
1297
+ 325
1298
+ 00:26:46,940 --> 00:26:51,820
1299
+ ุงู† by one does not equal by two ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฑุฌุงู„
1300
+
1301
+ 326
1302
+ 00:26:51,820 --> 00:26:59,100
1303
+ ุญูƒูˆุง ู†ุนู… ุชุฎุชู„ูุทุจ ู„ูˆ ุนุงูŠุฒ ุฃุนู…ู„ testing ูˆ ุฃุนุฑู ู…ุง
1304
+
1305
+ 327
1306
+ 00:26:59,100 --> 00:27:04,080
1307
+ ุฅุฐุง ูƒุงู† ุงู„
1308
+
1309
+ 328
1310
+ 00:27:04,080 --> 00:27:10,420
1311
+ B1 smaller than B2 ูˆ ู„ุง B1 smaller than B2 ุงู„ุขู† ู…ุด
1312
+
1313
+ 329
1314
+ 00:27:10,420 --> 00:27:15,580
1315
+ ู‡ูŠุฎุชู„ู ููŠ ูƒู„ ุงู„ุญู„ุŒ ุฅูŠุด ุจุชุฎุชู„ูุŸ ุฃุณู…ุน ู…ู† ูˆุงุญุฏุฉ ุจุณ ุจุณ
1316
+
1317
+ 330
1318
+ 00:27:15,580 --> 00:27:21,440
1319
+ ุงู„ critical value ุจุฏู„ two-sidedุŒ ู†ุฑุฌุน ุชุงู†ูŠุฉุŒ ู‡ูƒูˆู†
1320
+
1321
+ 331
1322
+ 00:27:21,440 --> 00:27:25,170
1323
+ ุนู†ุฏูŠ lower tail testุŒ ู‡ูƒูˆู† ูˆุงุญุฏุฉ ุจุณ ุนู„ู‰ ุงู„ุดู…ุงู„ูููŠ
1324
+
1325
+ 332
1326
+ 00:27:25,170 --> 00:27:31,170
1327
+ ุงู„ู…ุซู„ุฉ ู‡ูŠ ุฏูŠ ุจุณ ุงู„ุงุฎุชู„ุงู ููŠ ูƒู„ ุงู„ุญู„ ู‡ูƒูˆู† ุนู†ุฏู‡ุง
1328
+
1329
+ 333
1330
+ 00:27:31,170 --> 00:27:39,610
1331
+ ู…ูˆุฌุฉ ูˆู„ุง ุณุงู„ุจุŸ ุณุงู„ุจ negative ูƒุฏู‡ุดุŸ six over five
1332
+
1333
+ 334
1334
+ 00:27:39,610 --> 00:27:45,290
1335
+ ู…ุด ู‡ูŠูƒุŸ and five percent ู…ุฌุณู…ุด ุนู„ู‰ ุงุชู†ูŠู† ู…ุธุจูˆุทุŸ
1336
+
1337
+ 335
1338
+ 00:27:45,290 --> 00:27:49,930
1339
+ ูŠุนู†ูŠ ุงู†ุง ุญูƒูŠุช ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ุงู„ุณุคุงู„ ููŠ ุฃุตู„ู‡ ู…ุด
1340
+
1341
+ 336
1342
+ 00:27:49,930 --> 00:27:54,120
1343
+ ูƒุงู† by one does not equal by two ู…ุด ู‡ูŠูƒุŸู‡ูŠูƒ ุงู„ุญุงู„ุฉ
1344
+
1345
+ 337
1346
+ 00:27:54,120 --> 00:27:58,780
1347
+ ุงู„ุตุญ ู‡ู†ุฎู„ุตู‡ุง ู„ูˆ ุงูุชุฑุถ ุบูŠุฑุช ุงู„ู…ุซู„ุฉ ุจุฏู„ by one does
1348
+
1349
+ 338
1350
+ 00:27:58,780 --> 00:28:02,300
1351
+ not equal by two ุตุงุฑุช by one ุฃู‚ู„ ู…ู† by .. ุญุฏุฏุชู‡ุง
1352
+
1353
+ 339
1354
+ 00:28:02,300 --> 00:28:05,200
1355
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุทุจ ู…ุด ุตุญูŠุญ ุฃุญุฏุฏู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจูƒูˆู† ุบุจูŠ
1356
+
1357
+ 340
1358
+ 00:28:05,200 --> 00:28:09,620
1359
+ ู„ูˆ ุญุฏุฏุชู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ู…ุธู‡ุฑุŸ ู„ูŠุดุŸ ุงู„ู„ูŠ ุจุชุถุญูƒ ุฅูŠู‡
1360
+
1361
+ 341
1362
+ 00:28:09,620 --> 00:28:16,300
1363
+ ุฃู†ุชุŸ ู„ูŠุด ุบู„ุท ุงู„ุณุคุงู„ุŸ ู„ูŠุด ู„ูˆ ุญูƒูŠุช by oneุŸ ู„ุฃู†ู‡
1364
+
1365
+ 342
1366
+ 00:28:16,300 --> 00:28:22,980
1367
+ ู…ู…ูƒู†ุด ูŠูƒูˆู† .. ู…ู…ูƒู†ุด ูˆุงุญุฏ ูŠ .. ูŠุณูˆูŠ .. ูŠ .. ูŠ .. ูŠ
1368
+
1369
+ 343
1370
+ 00:28:22,980 --> 00:28:22,980
1371
+ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ
1372
+
1373
+ 344
1374
+ 00:28:22,980 --> 00:28:22,980
1375
+ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ
1376
+
1377
+ 345
1378
+ 00:28:22,980 --> 00:28:23,060
1379
+ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ
1380
+
1381
+ 346
1382
+ 00:28:23,060 --> 00:28:24,450
1383
+ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ ..ู…ุด ุจุฏู‡
1384
+
1385
+ 347
1386
+ 00:28:24,450 --> 00:28:29,830
1387
+ ุงุญูƒูƒ ุทุงู„ุน ู…ุงู†ูˆุด ู…ุนู†ู‰ ู…ุง ู‡ูŠ ุงู„ู…ุดูƒู„ุฉ ุฃู†ุง ุงู„ู…ูุฑูˆุถ ุงู†ุง
1388
+
1389
+ 348
1390
+ 00:28:29,830 --> 00:28:35,330
1391
+ ุงุญุงูƒูƒ ู„ู‡ุง ุนู„ู‰ ูู‡ู… ุงู†ุง
1392
+
1393
+ 349
1394
+ 00:28:35,330 --> 00:28:39,650
1395
+ ุณุคุงู„ูƒ ู‡ุงู„ุชุงู„ุฉ ู…ุฑุฉ ุชุงู†ูŠุฉ ู„ูŠุด ู…ู† ุงู„ุบุจุงุก ุจุฃูƒุฏ ุนู„ูŠู‡ุง
1396
+
1397
+ 350
1398
+ 00:28:39,650 --> 00:28:45,950
1399
+ ู…ู† ุงู„ุบุจุงุก ุงู†ูƒ ุชุญูƒูŠ by one ุงูƒุจุฑ ู…ู† by two ุงู„ุณุจุจ
1400
+
1401
+ 351
1402
+ 00:28:48,450 --> 00:28:52,730
1403
+ ู„ุฃู† ุงู„ู€ B1 ุฃู‚ู„ ู…ู† ุงู„ู€ B2 ู‡ุฐู‡ ุงู„ู€ 51 ูˆ ุงู„ู€ 70
1404
+
1405
+ 352
1406
+ 00:28:52,730 --> 00:28:56,450
1407
+ ูุจุงู„ุชุงู„ูŠ ู…ุด ู…ู†ุทู‚ูŠ ูŠุนู†ูŠ it doesn't make any sense
1408
+
1409
+ 353
1410
+ 00:28:56,450 --> 00:29:00,190
1411
+ if you state the alternative B1 greater than B2
1412
+
1413
+ 354
1414
+ 00:29:00,190 --> 00:29:05,630
1415
+ ู‡ุชูƒูˆู† ุฃู‚ู„ ู…ู† B2 ูˆุงุถุญุŸ ุทุจุนุง ู„ูŠุด ุงู„ุญุงุฌุฉ ูŠุฎุชู„ู ุจุณ ุงู„
1416
+
1417
+ 355
1418
+ 00:29:05,630 --> 00:29:10,850
1419
+ critical value ู‡ุชูƒูˆู† ุจุณ ุนู†ุฏ Z ฮฑุŒ negative Z ฮฑ ูˆู„ูˆ
1420
+
1421
+ 356
1422
+ 00:29:10,850 --> 00:29:14,530
1423
+ ุชูƒูˆู† Alpha 5% ุจุชุทู„ุนู‡ุง ุจุงู„ุฌูˆุงุจ ู…ู† ุงู„ tables
1424
+
1425
+ 357
1426
+ 00:29:14,530 --> 00:29:19,710
1427
+ negative 1.645Now is this value again for the
1428
+
1429
+ 358
1430
+ 00:29:19,710 --> 00:29:24,370
1431
+ rejection regionุŸ ูˆุงุถุญุŒ ู…ูˆุฌูˆุฏุŒ ูŠุนู†ูŠ ู…ุธุจูˆุทุŸ ุฅุฐุง
1432
+
1433
+ 359
1434
+ 00:29:24,370 --> 00:29:27,290
1435
+ ุจุฑุถู‡ we rejected on hypothesis ู…ุน ูƒุฏู‡ ุงู„ buy one
1436
+
1437
+ 360
1438
+ 00:29:27,290 --> 00:29:31,290
1439
+ ู…ุงู„ู‡ ุฃู‚ู„ ู…ู† buy two ู…ุน ูƒุฏู‡ ุงู„ proportion ู„ู„ men
1440
+
1441
+ 361
1442
+ 00:29:31,290 --> 00:29:35,730
1443
+ ุงู„ู„ูŠ ุญูƒูˆุง yes ู†ุณุจุชู‡ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ proportion
1444
+
1445
+ 362
1446
+ 00:29:35,730 --> 00:29:39,730
1447
+ ุงู„ู„ูŠ ุญูƒูˆุง ู„ู„ women ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู… ูŠุนู†ูŠ ุงู„ุฑุฌุงู„ ุญูƒูˆุง
1448
+
1449
+ 363
1450
+ 00:29:39,730 --> 00:29:45,930
1451
+ ู†ุนู… ุฃู‚ู„ ู…ู† ู†ุณุจุฉ ุงู„ู†ุณุงุก ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู… ูˆุงุถุญุŸ ููŠ ุฃูŠ
1452
+
1453
+ 364
1454
+ 00:29:45,930 --> 00:29:52,400
1455
+ ุณุคุงู„ุŸุฅู„ุง ุจุนุฏ ู‡ูŠ ู…ุงููŠุด ุฎู„ุตุฉ ุงู„ุดุจุทุฉุŒ ุงู„ุดุจุทุฉ ุนุดุงู† ูƒุฏู‡
1456
+
1457
+ 365
1458
+ 00:29:52,400 --> 00:29:59,920
1459
+ ุฎู„ุตุŒ ุจุณ ู„ุบุงูŠุฉ ู‡ู†ุง ุงู„ุดุจุทุฉ ุนุดุงู† ุฎู„ุตุŒ ุฃูŠ ุณุคุงู„ุŒ ุงู„ู„ู‡ู…
1460
+
1461
+ 366
1462
+ 00:29:59,920 --> 00:30:00,520
1463
+ ุชูƒุจุฑ ุนุงููŠุฉ
1464
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/kU4kuUZNOI8_postprocess.srt ADDED
@@ -0,0 +1,1896 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃูƒู…ู„
4
+
5
+ 2
6
+ 00:00:24,870 --> 00:00:33,930
7
+ ู…ู‚ุงู„ุงุช ุงู„ุชุบูŠูŠุฑ ุณุฃุจุฏุฃ ู…ุน ู…ู‚ุงู„ุฉ ุงู„ุชุบูŠูŠุฑ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ
8
+
9
+ 3
10
+ 00:00:33,930 --> 00:00:39,310
11
+ ู‡ุฐุง ุงู„ู…ู‚ุงู„ ูŠู‚ูˆู… ุจู…ู‚ุงู„ุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุทุŒ ุงุนู†ูŠ
12
+
13
+ 4
14
+ 00:00:39,310 --> 00:00:43,690
15
+ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุท ู…ู† ู…ู‚ุงู„ุฉ ุงู„ุจูŠุงู†ุงุช ุฅู„ู‰ ู…ู‚ุงู„ุชู‡ุง
16
+
17
+ 5
18
+ 00:00:43,690 --> 00:00:51,630
19
+ ุฏุงุฆู…ุง ููŠ ู…ู‚ุงู„ุฉูˆูŠุธู‡ุฑ ุงู„ุชุบูŠูŠุฑ ู…ุฑุชุจุท ุจุงู„ู…ู‚ุงู„ ู„ูŠุณ ูู‚ุท
20
+
21
+ 6
22
+ 00:00:51,630 --> 00:00:57,370
23
+ ุงู„ุชุบูŠูŠุฑ ู„ูƒู† ุงู„ุชุบูŠูŠุฑ ู…ุฑุชุจุท ุจุงู„ู…ู‚ุงู„ ูˆูŠู…ูƒู† ุงุณุชุฎุฏุงู…ู‡
24
+
25
+ 7
26
+ 00:00:57,370 --> 00:01:04,570
27
+ ู„ุชู‚ุงุฑูŠุฑ ุงูˆ ุงูˆ ุงูƒุชุฑ ู…ุฌู…ูˆุนุงุช ู…ู† ุงู„ุจูŠุงู†ุงุช ุงู„ู…ู‚ุงุฑู†ุฉ ููŠ
28
+
29
+ 8
30
+ 00:01:04,570 --> 00:01:07,750
31
+ ูƒู„ุง ุงู„ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุงูˆ ู†ูุณ ุงู„ู…ุฌู…ูˆุนุงุช ู„ูƒู† ุฃูƒุชุฑ
32
+
33
+ 9
34
+ 00:01:07,750 --> 00:01:14,330
35
+ ู…ู…ูƒู† ุงู† ู†ุณุชุฎุฏู…ู‡ุง ู„ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชูŠ ูŠุฌุจ
36
+
37
+ 10
38
+ 00:01:14,330 --> 00:01:20,850
39
+ ุฃู† ู†ุณุชุฎุฏู…ู‡ุง ู„ุชุบูŠูŠุฑ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉCV ู‡ูˆ S ุนู„ู‰ X ุจุงุฑ
40
+
41
+ 11
42
+ 00:01:20,850 --> 00:01:22,330
43
+ ู…ุฑุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
44
+
45
+ 12
46
+ 00:01:22,330 --> 00:01:22,530
47
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
48
+
49
+ 13
50
+ 00:01:22,530 --> 00:01:25,890
51
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
52
+
53
+ 14
54
+ 00:01:25,890 --> 00:01:26,210
55
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
56
+
57
+ 15
58
+ 00:01:26,210 --> 00:01:27,010
59
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
60
+
61
+ 16
62
+ 00:01:27,010 --> 00:01:27,710
63
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
64
+
65
+ 17
66
+ 00:01:27,710 --> 00:01:28,830
67
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
68
+
69
+ 18
70
+ 00:01:28,830 --> 00:01:46,610
71
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
72
+
73
+ 19
74
+ 00:01:46,610 --> 00:01:52,430
75
+ ู…ุฃูˆู„ุงู‹ ุงู„ู€ sample mean ูˆ ุงู„ู€ sample standard
76
+
77
+ 20
78
+ 00:01:52,430 --> 00:01:55,370
79
+ deviation ู„ูƒูŠ ู†ู‚ูˆู… ุจุญุณุงุจ ุงู„ู€ coefficient of
80
+
81
+ 21
82
+ 00:01:55,370 --> 00:01:59,130
83
+ variation ูˆุงุถุญ ุนุดุงู† ุฃุญุณุจ ุงู„ CV ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ุฃุญุณุจ
84
+
85
+ 22
86
+ 00:01:59,130 --> 00:02:02,330
87
+ ุงู„ mean ูˆ ุจุนุฏูŠู† ุงู„ standard deviation ูŠุนู†ูŠ ู„ูˆ ุทู„ุจุช
88
+
89
+ 23
90
+ 00:02:02,330 --> 00:02:06,570
91
+ ู…ู†ูƒ ุทู„ุน ุงู„ CV ุฃุญุณุจ ุงู„ CV ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุฃูˆู„ุงู‹ ุจุญุณุงุจ X
92
+
93
+ 24
94
+ 00:02:06,570 --> 00:02:10,670
95
+ bar ุซู… ู†ุณุชุทูŠุน ู†ู‚ูˆู… ุจุญุณุงุจ ุงู„ coefficient of
96
+
97
+ 25
98
+ 00:02:10,670 --> 00:02:15,090
99
+ variation ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
100
+
101
+ 26
102
+ 00:02:17,880 --> 00:02:23,400
103
+ ุงู„ุงู† ู„ุฏูŠู†ุง ุงุชุตุงู„ูŠู† ุงุชุตุงู„ ุงูŠู‡ ุชุนุฑููŠู† ุงูŠุด ู…ุนู†ู‰ ุงุชุตุงู„
104
+
105
+ 27
106
+ 00:02:23,400 --> 00:02:35,040
107
+ ู†ุนู… ุงูŠุด ู…ุนู†ู‰ ุงุชุตุงู„ ุณู‡ู… ุงุชุตุงู„ ุงูŠู‡ ุงุนู†ุงุก ู‚ูŠู…ุฉ ุงุชุตุงู„
108
+
109
+ 28
110
+ 00:02:35,040 --> 00:02:41,900
111
+ ุงูŠู‡ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ุงุนู†ุงุก ู‚ูŠู…ุฉ
112
+
113
+ 29
114
+ 00:02:41,900 --> 00:02:44,500
115
+ ุงุชุตุงู„ ุงูŠู‡ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ
116
+
117
+ 30
118
+ 00:02:48,090 --> 00:02:54,110
119
+ ูƒุงู† 5 ุฏูˆู„ุงุฑ ู„ุฐู„ูƒ ู„ุฏูŠู†ุง ูƒู„ุงู‡ู…ุง ุงู„ุขู† ุงู„ู…ูŠุงู† ูˆู…ู‚ุงุฑู†ุฉ
120
+
121
+ 31
122
+ 00:02:54,110 --> 00:02:59,070
123
+ ุงู„ุฃุณุนุงุฑ ู„ู€ Stock A ุงู„ุขู†
124
+
125
+ 32
126
+ 00:02:59,070 --> 00:03:04,510
127
+ ู…ู‚ุงุฑู†ุฉ ุฃุฎุฑู‰ ุงุณู…ู‡ุง Stock B ู…ู‚ุงุฑู†ุฉ Stock B ู„ุฏูŠู‡ุง
128
+
129
+ 33
130
+ 00:03:04,510 --> 00:03:11,050
131
+ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ุนุงู… ุงู„ู…ุงุถูŠ 100 ุฏูˆู„ุงุฑ ุงู„ู…ูŠุงู† 100
132
+
133
+ 34
134
+ 00:03:11,050 --> 00:03:18,330
135
+ ุฏูˆู„ุงุฑ ูˆู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุนุงุฑ ุฃูŠุถุง 5 ุฏูˆู„ุงุฑุงู„ุงู† ูƒู„ุง ุงู„ุฃุณู‡ู…
136
+
137
+ 35
138
+ 00:03:18,330 --> 00:03:24,430
139
+ ูŠู…ุชู„ูƒูˆู† ู†ูุณ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู„ุฐุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ู†
140
+
141
+ 36
142
+ 00:03:24,430 --> 00:03:30,310
143
+ ุงู„ู…ูู‡ูˆู… ุงู†ู‡ู… ูŠู…ุชู„ูƒูˆู† ู†ูุณ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู…ุน ูƒุฐุง ู†ูุณ
144
+
145
+ 37
146
+ 00:03:30,310 --> 00:03:33,490
147
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู„ูƒู† ุฅุฐุง ุชู†ุธุฑ ุฅู„ู‰ ุฃุณุนุงุฑ ุงู„ุฃุณุนุงุฑ
148
+
149
+ 38
150
+ 00:03:33,490 --> 00:03:37,410
151
+ ุงู„ุฃุณุนุงุฑ A ููŠ ุงู„ุนุงู… ุงู„ู…ุงุถูŠ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ุจูŠู†ู…ุง
152
+
153
+ 39
154
+ 00:03:37,410 --> 00:03:39,350
155
+ ุจุงู„ู†ุณุจุฉ ู„ุฃุณุนุงุฑ B ูƒุงู†ุช 100 ุฏูˆู„ุงุฑ
156
+
157
+ 40
158
+ 00:03:42,870 --> 00:03:46,610
159
+ ุฃู†ุง ุฃู‚ุตุฏ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุฃุณุงู…ูŠ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู†
160
+
161
+ 41
162
+ 00:03:46,610 --> 00:03:51,750
163
+ ุงู„ุชุบูŠูŠุฑ ุจูŠู† ุงู„ุงู†ุชุฌุงุฑูŠู† ุงู„ุงุซู†ูŠู† ู„ุฃู†ู‡ู…
164
+
165
+ 42
166
+ 00:03:51,750 --> 00:03:54,750
167
+ ู„ุฏูŠู‡ู… ุงู†ุชุฌุงุฑ ู†ูุณู‡ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู†ู‡ ูˆู‡ู… ุฃูŠุถู‹ุง
168
+
169
+ 43
170
+ 00:03:54,750 --> 00:03:59,610
171
+ ู„ุฏูŠู‡ู… ุทุฑูŠู‚ุงุช ู…ุฎุชู„ูุฉุŒ ู„ุฐู„ูƒ ู„ูƒูŠ ู†ู‚ุงุฑู† ุงู„ุชุบูŠูŠุฑ ุจูŠู†
172
+
173
+ 44
174
+ 00:03:59,610 --> 00:04:04,450
175
+ ุงู„ุงู†ุชุฌุงุฑูŠู† ุงู„ุงุซู†ูŠู† ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ุงู„ู€CV ุงู„ุชูŠ ู‡ูŠ ู…ูŠุฒุฉ
176
+
177
+ 45
178
+ 00:04:04,450 --> 00:04:10,310
179
+ ุงู„ุชุบูŠูŠุฑ ุงู„ุชูŠ ุชู‚ูˆู… ุจู…ูŠุฒุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุทto the mean
180
+
181
+ 46
182
+ 00:04:10,310 --> 00:04:13,350
183
+ variability ู…ุด ุงู„ variability ุจุณ relative to the
184
+
185
+ 47
186
+ 00:04:13,350 --> 00:04:17,250
187
+ mean ูŠุนู†ูŠ ุงู„ุงุฎุชู„ุงู ุญุณุจ ุงู„ mean ู„ูˆ ุทู„ุนู†ุง ุงู„ CV
188
+
189
+ 48
190
+ 00:04:17,250 --> 00:04:22,430
191
+ ุงู„ุฃูˆู„ู‰ CV for stack A again the formula we have to
192
+
193
+ 49
194
+ 00:04:22,430 --> 00:04:27,610
195
+ use is S over X bar multiplied by 100 so now we
196
+
197
+ 50
198
+ 00:04:27,610 --> 00:04:35,910
199
+ have S divided by 50 multiplied by 100 gives 10%
200
+
201
+ 51
202
+ 00:04:37,420 --> 00:04:42,980
203
+ ุงู„ุฃู† 10% ู„ุง ูŠุนู†ูŠ ู„ู†ุง ุฃูŠ ุดูŠุก ู„ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ู‡ุฐุง
204
+
205
+ 52
206
+ 00:04:42,980 --> 00:04:50,160
207
+ ุงู„ู‚ูŠู…ุฉ ู„ู‚ูŠู…ุฉ ุฃุฎุฑู‰ ู„ุนุจุฉ ุฃุฎุฑู‰ ู„ุนุจุฉ B ู„ุฏูŠู†ุง X bar 100
208
+
209
+ 53
210
+ 00:04:50,160 --> 00:04:59,440
211
+ ู…ุน ู†ูุณ ุงู„ุงู†ุชุฌุงุฑ ุงู„ูˆุงุณุน ู„ุฐุง CV ู„ู‡ุฐุง ุงู„ุนู…ูŠู„ S ู†ูุณู‡
212
+
213
+ 54
214
+ 00:04:59,440 --> 00:05:08,340
215
+ ู…ุฎุชู„ู ู…ู† 100 ู…ุฑุฉ 100% ูŠุนู†ูŠ 5%ุงู„ุนุงู…ุฉ ุจูŠ ู„ุฏูŠู‡ุง ุนุงู…ุฉ
216
+
217
+ 55
218
+ 00:05:08,340 --> 00:05:15,580
219
+ 5% ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู† ุนุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
220
+
221
+ 56
222
+ 00:05:15,580 --> 00:05:20,940
223
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
224
+
225
+ 57
226
+ 00:05:20,940 --> 00:05:23,780
227
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
228
+
229
+ 58
230
+ 00:05:23,780 --> 00:05:23,820
231
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
232
+
233
+ 59
234
+ 00:05:23,820 --> 00:05:25,040
235
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
236
+
237
+ 60
238
+ 00:05:25,040 --> 00:05:27,300
239
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
240
+
241
+ 61
242
+ 00:05:27,300 --> 00:05:34,880
243
+ ูƒุงู…ุฉ ูƒุงู…ุฉ
244
+
245
+ 62
246
+ 00:05:34,880 --> 00:05:42,580
247
+ ูƒุงู…5 ุฃู‚ู„ ู…ู† 10ุŒ 5% ุฃู‚ู„ ู…ู† 10%ุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู† ูƒู„ุง
248
+
249
+ 63
250
+ 00:05:42,580 --> 00:05:49,240
251
+ ุงู„ูˆุงุญุฏูŠู† ู„ุฏูŠู‡ุง ู†ูุณ ู…ู‚ุงุฑู†ุฉ ุฃุณุงุณูŠุฉ ุงู„ูˆู…ู†ุงูุณูŠุฉุŒ ูˆู„ูƒู†
252
+
253
+ 64
254
+ 00:05:49,240 --> 00:05:52,420
255
+ ุงู„ูˆุงุญุฏ B ุฃู‚ู„ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
256
+
257
+ 65
258
+ 00:05:52,420 --> 00:05:58,500
259
+ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
260
+
261
+ 66
262
+ 00:05:58,500 --> 00:06:02,240
263
+ ู…ู‚ุงุฑู†ุฉ
264
+
265
+ 67
266
+ 00:06:03,810 --> 00:06:08,990
267
+ ูŠุนู†ูŠ ูˆุงุถุญ ุฃู† ุงู„ stack B ุงู„ุชุดุชุชุช ุชุจู‚ู‰ ุฃู‚ู„ now if
268
+
269
+ 68
270
+ 00:06:08,990 --> 00:06:12,690
271
+ stack B is less variable to its mean than stack A
272
+
273
+ 69
274
+ 00:06:12,690 --> 00:06:17,750
275
+ which one is more stableุŸ ู…ูŠู† ุจูŠูƒูˆู† more stableุŸ
276
+
277
+ 70
278
+ 00:06:17,750 --> 00:06:23,330
279
+ ุฅูŠุด ู…ุนู†ู‰ stableุŸ ูŠุนู†ูŠ ู…ุณุชู‚ุฑ
280
+
281
+ 71
282
+ 00:06:23,330 --> 00:06:27,270
283
+ which one is more stableุŸ if you want to recommend
284
+
285
+ 72
286
+ 00:06:27,270 --> 00:06:35,290
287
+ to buy stack A or BุŸุงู„ .. ุงู„ more stable is better
288
+
289
+ 73
290
+ 00:06:35,290 --> 00:06:40,330
291
+ ุทุจูŠุนูŠ ูˆู„ุง .. ู„ูˆ ูŠูƒูˆู† ุงู„ุดุบู„ more stable ู…ุน ูƒุฏู‡ ุงู„
292
+
293
+ 74
294
+ 00:06:40,330 --> 00:06:47,490
295
+ risk ู…ุงู„ู‡ ุจู‚ู„ ู…ุธุจูˆุท ููˆุงุถุญ ุฃู†ู‡ stock B more stable
296
+
297
+ 75
298
+ 00:06:47,490 --> 00:06:50,610
299
+ than stock A it has less variability relative to
300
+
301
+ 76
302
+ 00:06:50,610 --> 00:06:53,110
303
+ its mean ู„ู…ุง ุงู„ุดูŠุก ุงู„ู„ูŠ ู‡ุชูƒูˆู† ููŠู‡ุง ุชุดุชุช ูƒุจูŠุฑ
304
+
305
+ 77
306
+ 00:06:53,110 --> 00:06:55,690
307
+ variability ูƒุจูŠุฑุฉ ุงู„ูˆุงุญุฏ ุจูŠุจุนุฏ ุนู†ู‡ุงู„ุฃู† ููŠู‡ุง
308
+
309
+ 78
310
+ 00:06:55,690 --> 00:07:00,050
311
+ ุงู„ู…ุฎุงุทุฑุฉ ู…ุงู„ู‡ุง ุจุงู„ุฒูŠ ุฏุฑุณ ุงู„ูƒูˆู† ุนุงู„ูŠ anyways we
312
+
313
+ 79
314
+ 00:07:00,050 --> 00:07:03,370
315
+ have to compute the CV for stack A and stack B
316
+
317
+ 80
318
+ 00:07:03,370 --> 00:07:06,690
319
+ just compare these two values now this is five it
320
+
321
+ 81
322
+ 00:07:06,690 --> 00:07:11,610
323
+ means stack
324
+
325
+ 82
326
+ 00:07:11,610 --> 00:07:18,010
327
+ A is more variable to its mean than stack A than
328
+
329
+ 83
330
+ 00:07:18,010 --> 00:07:23,410
331
+ stack B ู‡ุฐุง ุงู„ุชูŠู† ูˆ ู‡ุฐุง ุงู„ุฎู…ุณ ูˆ ู‡ุฐุง ุฃูƒุจุฑ look at
332
+
333
+ 84
334
+ 00:07:23,410 --> 00:07:31,040
335
+ the next slideู„ุฏูŠู†ุง ู…ุตุฏุฑ ูˆุงุญุฏ ุฃุฎุฑ ูŠุณู…ู‰ ู…ุตุฏุฑ C ู…ุตุฏุฑ
336
+
337
+ 85
338
+ 00:07:31,040 --> 00:07:36,400
339
+ C ู„ุฏูŠู‡
340
+
341
+ 86
342
+ 00:07:36,400 --> 00:07:43,020
343
+ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ุณู†ุฉ ู…ู† 8 ุฏูˆู„ุงุฑ ูˆู…ุตุฏุฑ
344
+
345
+ 87
346
+ 00:07:43,020 --> 00:07:44,560
347
+ ู…ุตุฏุฑ ุงู„ุงู†ุชุฌุงุฑ 2 ุฏูˆู„ุงุฑ
348
+
349
+ 88
350
+ 00:07:48,140 --> 00:07:50,960
351
+ ุนู„ู‰ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard deviation ู‡ูˆ 2 ู‡ุฐุง
352
+
353
+ 89
354
+ 00:07:50,960 --> 00:07:54,680
355
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุงุตู„ุง ุตุบูŠุฑุฉ ุงูƒุชุฑ ู…ู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard
356
+
357
+ 90
358
+ 00:07:54,680 --> 00:07:56,860
359
+ deviation ู„ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
360
+
361
+ 91
362
+ 00:07:56,860 --> 00:07:59,900
363
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
364
+
365
+ 92
366
+ 00:07:59,900 --> 00:08:00,380
367
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
368
+
369
+ 93
370
+ 00:08:00,380 --> 00:08:00,800
371
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
372
+
373
+ 94
374
+ 00:08:00,800 --> 00:08:00,900
375
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
376
+
377
+ 95
378
+ 00:08:00,900 --> 00:08:03,880
379
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
380
+
381
+ 96
382
+ 00:08:03,880 --> 00:08:17,100
383
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู†
384
+
385
+ 97
386
+ 00:08:17,930 --> 00:08:25,010
387
+ ู‡ุฐุง ูŠุนุทูŠ 25% ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ุฃู†ู‡ ูŠุญุชูˆูŠ ุนู„ู‰ ุงุณุชุฎุฏุงู…
388
+
389
+ 98
390
+ 00:08:25,010 --> 00:08:26,990
391
+ ุงุณุชุฎุฏุงู… ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู
392
+
393
+ 99
394
+ 00:08:26,990 --> 00:08:27,250
395
+ ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู
396
+
397
+ 100
398
+ 00:08:27,250 --> 00:08:28,390
399
+ ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดู
400
+
401
+ 101
402
+ 00:08:28,390 --> 00:08:29,190
403
+ ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู
404
+
405
+ 102
406
+ 00:08:29,190 --> 00:08:35,310
407
+ ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู
408
+
409
+ 103
410
+ 00:08:35,310 --> 00:08:39,550
411
+ ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุง
412
+
413
+ 104
414
+ 00:08:44,590 --> 00:08:48,690
415
+ ู„ุชู‚ุงุฑู† ุชุบูŠูŠุฑ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ุญุชู‰ ู„ูˆ ูƒุงู†ุช ุชุญุชูˆูŠ
416
+
417
+ 105
418
+ 00:08:48,690 --> 00:08:50,730
419
+ ุนู„ู‰ ู†ูุณ ุงู„ุฃุฌู‡ุฒุฉ ู‡ู†ุง ู†ุญู† ู†ุญุชูˆูŠ ุนู„ู‰ ู†ูุณ ุงู„ุฃุฌู‡ุฒุฉ
420
+
421
+ 106
422
+ 00:08:50,730 --> 00:08:58,010
423
+ ุฏูˆู„ุงุฑ ูุงู„ู€ Stoxy ู„ุญุธุฉ ุฃู† ุชุบูŠูŠุฑู‡ 25% ูุงู„ู€ Stoxy
424
+
425
+ 107
426
+ 00:08:58,010 --> 00:09:04,610
427
+ ู„ุฏูŠู‡ ุชุบูŠูŠุฑ ุนุงุฏู„ ุฃู‚ู„ ุจูƒุซูŠุฑ ุฏูˆู„ุงุฑ
428
+
429
+ 108
430
+ 00:09:04,610 --> 00:09:07,770
431
+ ูˆ 2 ุฏูˆู„ุงุฑ ูˆู„ูƒู† ุชุบูŠูŠุฑู‡ ูƒุซูŠุฑ ุจูƒุซูŠุฑ
432
+
433
+ 109
434
+ 00:09:10,440 --> 00:09:12,600
435
+ ุฒูŠ ู…ุง ุฃู‚ูˆู„ุŒ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ุนุชู…ุฏ ูู‚ุท ุนู„ู‰ ุงู„ู€
436
+
437
+ 110
438
+ 00:09:12,600 --> 00:09:16,300
439
+ Standard Deviation ู„ูƒูŠ ู†ู‚ุงุฑู† ุงู„ุชุบูŠูŠุฑ ุจูŠู† ุงู„ู€
440
+
441
+ 111
442
+ 00:09:16,300 --> 00:09:19,880
443
+ different datasets ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ุงู„ู€ coefficient of
444
+
445
+ 112
446
+ 00:09:19,880 --> 00:09:23,400
447
+ variation ุฅุฐุง ุงู„ู…ู„ุฎุตุŒ ู„ูˆ ุฃุฑุฏุช ุฃู‚ุงุฑู† ุชุดุชุช ู…ุฌู…ูˆุนุชูŠู†
448
+
449
+ 113
450
+ 00:09:23,400 --> 00:09:27,280
451
+ ุฃูˆ ุฃูƒุชุฑุŒ ู„ุง ูŠู…ูƒู†ู†ูŠ ุฃู† ุฃุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ S ู„ูˆุญุฏู‡ ูˆู„ุง
452
+
453
+ 114
454
+ 00:09:27,280 --> 00:09:30,320
455
+ ุนู„ู‰ ุงู„ู€ X bar ู„ูˆุญุฏู‡ุŒ ุจุงุนุชู…ุฏ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ู€
456
+
457
+ 115
458
+ 00:09:30,320 --> 00:09:32,460
459
+ coefficient of variationุŒ ู„ุฃู†ู‡ ู„ูŠุณ ูŠุนู…ู„ ุงู„ู€
460
+
461
+ 116
462
+ 00:09:32,460 --> 00:09:35,880
463
+ measures ุงู„ู€ variation ุฃูˆ ุงู„ู€ variability relative
464
+
465
+ 117
466
+ 00:09:35,880 --> 00:09:42,610
467
+ ู„ู„ู…ูŠู† ุชุจุนู‡ุŒ ูˆุงุถุญุŸูŠุนู†ูŠ ู„ูˆ ุญูƒูŠุช ุงู„ score ุณุจุนุชูƒูˆุง
468
+
469
+ 118
470
+ 00:09:42,610 --> 00:09:50,650
471
+ ุงู„ู‡ุง mean equal 85 ูˆ ุงู„ standard deviation equal 5
472
+
473
+ 119
474
+ 00:09:50,650 --> 00:09:54,430
475
+ ุงุฏูˆู„
476
+
477
+ 120
478
+ 00:09:54,430 --> 00:09:58,390
479
+ for female students for male student suppose the
480
+
481
+ 121
482
+ 00:09:58,390 --> 00:10:06,690
483
+ mean was 75 and standard deviation 10 ุงู„ู„ุญุธุฉ
484
+
485
+ 122
486
+ 00:10:06,690 --> 00:10:07,650
487
+ ุฏูŠ ุฎู„ูŠู‡ุง 5
488
+
489
+ 123
490
+ 00:10:10,430 --> 00:10:14,270
491
+ both have the same mean but if you compute the CV
492
+
493
+ 124
494
+ 00:10:14,270 --> 00:10:18,930
495
+ for female S
496
+
497
+ 125
498
+ 00:10:18,930 --> 00:10:22,890
499
+ over eighty
500
+
501
+ 126
502
+ 00:10:22,890 --> 00:10:26,630
503
+ five ู„ูˆ
504
+
505
+ 127
506
+ 00:10:26,630 --> 00:10:33,230
507
+ ุถุฑุจุช ุฎู…ุณู…ูŠุฉ ุนู„ู‰ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠุฉ ู†ุนู… ุฎู…ุณุฉ
508
+
509
+ 128
510
+ 00:10:33,230 --> 00:10:37,690
511
+ ุชู…ุงู†ูŠุฉ
512
+
513
+ 129
514
+ 00:10:37,690 --> 00:10:38,690
515
+ ู…ู† ุงูˆ ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ
516
+
517
+ 130
518
+ 00:10:44,020 --> 00:10:54,660
519
+ ุฎู„ูŠู†ูŠ ุฃุญุณุจู‡ุง ุฎู…ุณุฉ
520
+
521
+ 131
522
+ 00:10:54,660 --> 00:10:58,620
523
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
524
+
525
+ 132
526
+ 00:10:58,620 --> 00:10:58,700
527
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
528
+
529
+ 133
530
+ 00:10:58,700 --> 00:11:01,860
531
+ point ุงุช ุงุช ุฎู…ุณุฉ
532
+
533
+ 134
534
+ 00:11:01,860 --> 00:11:03,180
535
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
536
+
537
+ 135
538
+ 00:11:03,180 --> 00:11:04,660
539
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
540
+
541
+ 136
542
+ 00:11:04,660 --> 00:11:05,040
543
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
544
+
545
+ 137
546
+ 00:11:05,040 --> 00:11:07,640
547
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุฎู…
548
+
549
+ 138
550
+ 00:11:13,870 --> 00:11:19,110
551
+ 500 over 75 6
552
+
553
+ 139
554
+ 00:11:19,110 --> 00:11:25,730
555
+ .67 ูˆุงุถุญ
556
+
557
+ 140
558
+ 00:11:25,730 --> 00:11:35,970
559
+ ู‡ู†ุง ูู‰ ุงู„ู…ุฏุฑุณุงุช ุงู„ุงู†ุณุงู†ูŠุฉ ุงู‚ู„ ู…ู†
560
+
561
+ 141
562
+ 00:11:35,970 --> 00:11:41,090
563
+ 5.88 ุจุงู„ุฑุบู… ู…ู† ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ู… ุนุงูŠุด ู†ูุณ ุงู„
564
+
565
+ 142
566
+ 00:11:41,090 --> 00:11:49,510
567
+ standard deviationุฃูŠ ุณุคุงู„ ุนู† ู…ู‚ุงูˆู…ุฉ ุงู„ุชุบูŠูŠุฑุŸ ุญุณู†ุงุŒ
568
+
569
+ 143
570
+ 00:11:49,510 --> 00:11:55,530
571
+ ุฏุนู†ุง ู†ุชุญุฑูƒ ุฅู„ู‰ ุงู„ุตูุญุฉ ุงู„ุชุงู„ูŠุฉ ุฅุฐุง
572
+
573
+ 144
574
+ 00:11:55,530 --> 00:11:59,150
575
+ ุชุชุฐูƒุฑูŠู† ุนู†ุฏู…ุง ุชุญุฏุซู†ุง ุนู† ุงู„ู…ู‚ุงูˆู…ุฉ ูˆุงู„ู…ู‚ุงูˆู…ุฉุŒ ุชุฐูƒุฑู†ุง
576
+
577
+ 145
578
+ 00:11:59,150 --> 00:12:03,770
579
+ ุฃู† ุงู„ู…ู‚ุงูˆู…ุฉ ู„ูŠุณุช ู…ุดุชุฑูƒุฉ ุจู‚ูŠู…ุงุช ุฃุนุธู… ุฃูˆ ุฃุณู„ุญุฉ ุฎุงุฑู‚ุฉ
580
+
581
+ 146
582
+ 00:12:05,520 --> 00:12:08,340
583
+ ุงู„ุณุคุงู„ ุงู„ุขู† ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ู‡ุฐุง ุงู„ู†ู‚ุทุฉ
584
+
585
+ 147
586
+ 00:12:08,340 --> 00:12:18,380
587
+ ุชุนุชุจุฑ ุฎุงุทุฆุงู‹ ุฃูˆ ุฎุงุทุฆุงู‹ ุฃูˆ ุญุชู‰ ุฎุงุทุฆุงู‹ ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง
588
+
589
+ 148
590
+ 00:12:18,380 --> 00:12:21,800
591
+ ู…ุฌู„ุฉ ุฎุงุทุฆุฉุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู…ุฌู„ุฉ
592
+
593
+ 149
594
+ 00:12:21,800 --> 00:12:25,020
595
+ ุชุนุชุจุฑ ุฎุงุทุฆุงู‹ ุฃูˆ ุฎุงุทุฆุงู‹ุŸ ู…ู…ูƒู† ุฃู‚ูˆู„ ุฅู† ู‡ุฐู‡ ุงู„ู…ุฌู„ุฉ
596
+
597
+ 150
598
+ 00:12:25,020 --> 00:12:30,560
599
+ ู…ุดุชุจู‡ุฉ ุชูƒูˆู† ุฎุงุทุฆุงู‹ ุฃูˆ ุฎุงุทุฆุงู‹ ู‡ู†ุงูƒ ุทุฑุญูŠู† ู…ุฎุชู„ูุฉ
600
+
601
+ 151
602
+ 00:12:30,560 --> 00:12:35,670
603
+ ู„ุชูˆุตูŠู„ ุฎุทูˆุงุช ุฎุงุทุฆ ุฃูˆ ุฎุงุทุฆู‡ุฐุง ุงู„ููŠุฏูŠูˆ ูŠุชูƒู„ู… ุนู†
604
+
605
+ 152
606
+ 00:12:35,670 --> 00:12:42,510
607
+ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุทุฑู‚ ูŠุณู…ู‰ Z-score ู„ุฐู„ูƒ ุฏุนู†ุง ู†ุจุฏุฃ
608
+
609
+ 153
610
+ 00:12:42,510 --> 00:12:58,290
611
+ ุจุงู„ูˆุตูˆู„ ุฅู„ู‰ ุฃุนู„ู‰ ุฃุนู„ู‰ ุฃุนู„ู‰ ุจุงุณุชุฎุฏุงู… Z-score ููˆุตูˆู„ุฉ
612
+
613
+ 154
614
+ 00:12:58,290 --> 00:13:02,530
615
+ ุฃุนู„ู‰ ุฃุนู„ู‰
616
+
617
+ 155
618
+ 00:13:12,240 --> 00:13:21,280
619
+ ุนู† ุทุฑูŠู‚ ุงุณุชุฎุฏุงู… ุงู„ู€ z-score ุฏุนูˆู†ุง
620
+
621
+ 156
622
+ 00:13:21,280 --> 00:13:27,520
623
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ z-score ู…ุงุฐุง ูŠุนู†ูŠ z-scoreุŸ ูŠุฌุจ
624
+
625
+ 157
626
+ 00:13:27,520 --> 00:13:32,060
627
+ ุฃู† ู†ุนุฑู ูƒู„ุง ุงู„ุงุฎุชุตุงุฑ ..ุฃุนู†ูŠ ุงู„ุชุฎุตูŠุต ู„ู„ z-score ุซู…
628
+
629
+ 158
630
+ 00:13:32,060 --> 00:13:32,480
631
+ ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุŸ
632
+
633
+ 159
634
+ 00:13:36,220 --> 00:13:41,280
635
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุงู† ุชู‚ูˆู„ ุงู†ูƒ ุชู‚ูˆู… ุจุชุฌุฑุจุฉ ุงู„ู€ z-score ู…ู†
636
+
637
+ 160
638
+ 00:13:41,280 --> 00:13:44,820
639
+ ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ู†ุญุชุงุฌ
640
+
641
+ 161
642
+ 00:13:44,820 --> 00:13:48,400
643
+ ุฃู† ู†ุชู‚ู„ ุงู„ู…ูŠุงู† ูˆ ู†ู‚ู„ ู…ู† ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
644
+
645
+ 162
646
+ 00:13:48,400 --> 00:13:48,540
647
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
648
+
649
+ 163
650
+ 00:13:48,540 --> 00:13:55,580
651
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
652
+
653
+ 164
654
+ 00:13:55,580 --> 00:14:00,780
655
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
656
+
657
+ 165
658
+ 00:14:00,780 --> 00:14:02,880
659
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
660
+
661
+ 166
662
+ 00:14:02,880 --> 00:14:04,560
663
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจุฒูŠ score
664
+
665
+ 167
666
+ 00:14:04,560 --> 00:14:11,280
667
+ it says it equals so z score of a data value for
668
+
669
+ 168
670
+ 00:14:11,280 --> 00:14:15,980
671
+ score for example suppose my score is x suppose i
672
+
673
+ 169
674
+ 00:14:15,980 --> 00:14:21,540
675
+ got x in subject a now the question is how can we
676
+
677
+ 170
678
+ 00:14:21,540 --> 00:14:29,220
679
+ compute the z score it says subtract the mean ุฃูŠ
680
+
681
+ 171
682
+ 00:14:29,220 --> 00:14:42,170
683
+ ู…ุนู†ุงู‡ subtract ู…ุธุจูˆุท ุงุทุฑุญ ุงู„ meanู†ู‚ุต ุงู„ู€mean ู†ู‚ุต
684
+
685
+ 172
686
+ 00:14:42,170 --> 00:14:46,670
687
+ ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
688
+
689
+ 173
690
+ 00:14:46,670 --> 00:14:47,270
691
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
692
+
693
+ 174
694
+ 00:14:47,270 --> 00:14:47,390
695
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
696
+
697
+ 175
698
+ 00:14:47,390 --> 00:14:48,410
699
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
700
+
701
+ 176
702
+ 00:14:48,410 --> 00:14:53,410
703
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
704
+
705
+ 177
706
+ 00:14:53,410 --> 00:15:01,830
707
+ ู†ู‚ุต ุงู„ู€mean
708
+
709
+ 178
710
+ 00:15:02,320 --> 00:15:06,140
711
+ ุชุนุฑูŠูู‡ number of standard deviations a data value
712
+
713
+ 179
714
+ 00:15:06,140 --> 00:15:09,800
715
+ is from the mean ูŠุนู†ูŠ ุฅูŠุด ุนุฏุฏ ุงู„ุฅู†ุญุฑุงูุงุช ุงู„ู…ูŠุงุฑูŠุฉ
716
+
717
+ 180
718
+ 00:15:09,800 --> 00:15:14,200
719
+ ุงู„ู†ู‚ุทุฉ ุชุจุนุชูƒ ุฃูˆ ุฏุฑุฌุชูƒ ุจุชุจุนุฏ ุนู† ุงู„ู…ุชูˆุณุท for example
720
+
721
+ 181
722
+ 00:15:14,200 --> 00:15:23,440
723
+ suppose my score was 85 again 85 so you got in
724
+
725
+ 182
726
+ 00:15:23,440 --> 00:15:29,160
727
+ statistics or in math or accounting 85 and the
728
+
729
+ 183
730
+ 00:15:29,160 --> 00:15:41,140
731
+ average of the entire classู…ุซู„ู‹ุง ู‡ูˆ 80 ูˆู…ู‚ุงุฑู†ุฉ
732
+
733
+ 184
734
+ 00:15:41,140 --> 00:15:49,200
735
+ ุงู„ูˆุซูŠู‚ุฉ ุงู„ุฃุณุงุณูŠุฉ ูƒุงู†ุช 5 ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู…ุงุฐุง ูŠุนู†ูŠ
736
+
737
+ 185
738
+ 00:15:49,200 --> 00:15:55,640
739
+ ุงู„ู€ z-scoreุŸ ุฏุนู†ุง ู†ู‚ูˆู… ุจู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุงู„ู…ูู‡ูˆู…
740
+
741
+ 186
742
+ 00:15:55,640 --> 00:15:59,540
743
+ ู‡ูˆ ุฅุถุงูุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุซู… ุฃู‚ูˆู… ุจุชู‚ุณูŠู…ู‡
744
+
745
+ 187
746
+ 00:15:59,540 --> 00:16:08,270
747
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุงุณูŠุฉู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง 85 ู…ู†ุงุณุจุฉ 80 ุนู„ู‰
748
+
749
+ 188
750
+ 00:16:08,270 --> 00:16:17,530
751
+ 5 ู‡ุฐุง ูŠุนุทูŠ 1 ุงู„ุขู† ุฏุนูˆู†ุง ู†ุฑู‰ ู…ุนู†ู‰ 1 ุงู†ุธุฑ
752
+
753
+ 189
754
+ 00:16:17,530 --> 00:16:21,430
755
+ ุฅู„ู‰ ุงู„ูุฑู‚ ุจูŠู† ู…ู‚ุงุฑู†ุชูƒ ูˆู…ู‚ุงุฑู†ุชูƒ ู…ุงู‡ูŠ ุงู„ูุฑู‚ ุจูŠู†
756
+
757
+ 190
758
+ 00:16:21,430 --> 00:16:27,660
759
+ ู…ู‚ุงุฑู†ุชูŠ ูˆู…ู‚ุงุฑู†ุชูƒุŸุฏุฑุฌุชูŠ 85ุŸ ู…ุชูˆุณุท ุงู„ุทู„ุงุจ 80 ุฅุฐุง
760
+
761
+ 191
762
+ 00:16:27,660 --> 00:16:32,200
763
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ ูˆ ุจูŠู† ุงู„ู…ุชูˆุณุท ุฎู…ุณุฉ ุฅุฐุง ุฏุฑุฌุชูŠ ุนู† ุงู„ุทู„ุงุจ
764
+
765
+ 192
766
+ 00:16:32,200 --> 00:16:35,900
767
+ ููŠ ุงู„ู…ุชูˆุณุท ููŠ ุงู„ุฎู…ุณ ุฏุฑุฌุงุช ุฃุนู„ู‰ ูˆู„ุง ุฃู‚ู„ุŸ ุฃุนู„ู‰ ุฃุนู„ู‰
768
+
769
+ 193
770
+ 00:16:35,900 --> 00:16:41,860
771
+ ุทูŠุจ ุงู„ุฎู…ุณุฉ ุฏูŠ ุฅูŠุด ุนู„ุงู‚ุฉ ุช ุจุงู„ SุŸ ุจุชุณูˆูŠู‡ุง ู…ุนู†ุงู‡ ูƒุฏู‡
772
+
773
+ 194
774
+ 00:16:41,860 --> 00:16:46,580
775
+ my score is one standard deviation above ูˆู„ุง below
776
+
777
+ 195
778
+ 00:16:46,580 --> 00:16:54,330
779
+ the meanุŸ above .. above ุฅุฐุง a score of 85ุงู„ุฃูˆู„ ู‡ูˆ
780
+
781
+ 196
782
+ 00:16:54,330 --> 00:17:00,670
783
+ ูˆุงุญุฏ ู…ู† ุงู„ุงุถุงูุงุช ุงู„ุนุงู…ุฉ ููˆู‚
784
+
785
+ 197
786
+ 00:17:00,670 --> 00:17:04,450
787
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
788
+
789
+ 198
790
+ 00:17:04,450 --> 00:17:06,390
791
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
792
+
793
+ 199
794
+ 00:17:06,390 --> 00:17:07,170
795
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
796
+
797
+ 200
798
+ 00:17:07,170 --> 00:17:07,250
799
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
800
+
801
+ 201
802
+ 00:17:07,250 --> 00:17:07,470
803
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
804
+
805
+ 202
806
+ 00:17:07,470 --> 00:17:08,430
807
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
808
+
809
+ 203
810
+ 00:17:08,430 --> 00:17:21,870
811
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุท
812
+
813
+ 204
814
+ 00:17:23,940 --> 00:17:27,020
815
+ ุงู„ุงู† ู…ุฑุฉ ุฃุฎุฑู‰ ุงู„ู€ z-score ู‡ูŠ ู†ูุณู‡ุง x-x bar over s
816
+
817
+ 205
818
+ 00:17:27,020 --> 00:17:37,280
819
+ 90 minus 85 ู†ุญู† ู„ุฏูŠู†ุง .. ุฃู†ุง ุฃุณู ู‡ุฐุง ู‡ูˆ 80 90 plus
820
+
821
+ 206
822
+ 00:17:37,280 --> 00:17:47,520
823
+ 80 over 5 10 over 5 ู‡ูˆ 2 ุงู„ุฃู† ู…ุงู‡ูˆ 2 ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ..
824
+
825
+ 207
826
+ 00:17:47,520 --> 00:17:56,510
827
+ ู…ุงู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ู‚ูŠู…ุชูƒ 90 ูˆ ุนู…ุฑูƒ 80ุŸ10 ู…ุงุฐุง ุนู†
828
+
829
+ 208
830
+ 00:17:56,510 --> 00:18:02,750
831
+ ุงู„ุนู„ุงู‚ุงุช ุจูŠู† 10 ูˆ 5ุŸ 10 ุถุนู ุงู„ุฎู…ุณุฉุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุนู†ุงู‡
832
+
833
+ 209
834
+ 00:18:02,750 --> 00:18:06,770
835
+ ูƒุฏู‡ุŒ ุงุฌุงุฑุฉ
836
+
837
+ 210
838
+ 00:18:06,770 --> 00:18:12,370
839
+ 90 ู‡ูŠ ุงุชุฌุงุฑุฉ
840
+
841
+ 211
842
+ 00:18:12,370 --> 00:18:16,710
843
+ ุงุชุฌุงุฑุฉ ุงุชุฌุงุฑุฉ
844
+
845
+ 212
846
+ 00:18:16,710 --> 00:18:19,510
847
+ ุงุชุฌุงุฑุฉ ุงุชุฌุงุฑุฉ
848
+
849
+ 213
850
+ 00:18:22,970 --> 00:18:27,750
851
+ ู…ุนู†ู‰ ุฏุฑุฌุฉ ุจุชุทู„ุน ุงู„ู…ุชูˆุณุท ุจูŠู† ุญุฑููŠู† ู…ุนูŠุฑูŠูŠู† ุทุจ ู„ูˆ
852
+
853
+ 214
854
+ 00:18:27,750 --> 00:18:37,150
855
+ ูˆุงุญุฏ ุฌุงุจ 60 60 ู„ูˆ ุฌูŠุจู†ุง 60 ููŠ ุงู„ score ุงูŠุด ุฒูŠ
856
+
857
+ 215
858
+ 00:18:37,150 --> 00:18:47,670
859
+ score ุจูŠุณุงูˆูŠ 60 minus 8 over 5 minus
860
+
861
+ 216
862
+ 00:18:47,670 --> 00:18:54,050
863
+ 20 over 5 minus 4ุงู„ุงู† ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู‚ูŠู… ู…ุฑุฉ
864
+
865
+ 217
866
+ 00:18:54,050 --> 00:19:02,190
867
+ ุฃุฎุฑู‰ุŸ ูŠุนู†ูŠ ู‚ูŠู…ุฉ 60 ู‡ูŠ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
868
+
869
+ 218
870
+ 00:19:02,190 --> 00:19:07,050
871
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
872
+
873
+ 219
874
+ 00:19:07,050 --> 00:19:09,230
875
+ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ
876
+
877
+ 220
878
+ 00:19:09,230 --> 00:19:11,190
879
+ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
880
+
881
+ 221
882
+ 00:19:11,190 --> 00:19:13,810
883
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
884
+
885
+ 222
886
+ 00:19:13,810 --> 00:19:15,510
887
+ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ
888
+
889
+ 223
890
+ 00:19:15,510 --> 00:19:19,490
891
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
892
+
893
+ 224
894
+ 00:19:20,930 --> 00:19:24,710
895
+ ูˆุงุญุฏ ุฌุงุจ ุณุชูŠู† ุงู„ู…ุชูˆุณุท ุชู…ุงู†ูŠู† ู…ุงู‡ูŠ ุงู„ูุฑู‚ ุนู„ู‰
896
+
897
+ 225
898
+ 00:19:24,710 --> 00:19:29,830
899
+ ุงู„ู…ุชูˆุณุทุŸ ุนุดุฑูŠู† ู…ุงู‡ูŠ ุนู„ุงู‚ุฉ ุงู„ุนุดุฑูŠู† ุจุงู„ุฎู…ุณุฉุŸ ุฃุฑุจุน
900
+
901
+ 226
902
+ 00:19:29,830 --> 00:19:33,710
903
+ ุฃุถุนุงู ู…ุน ูƒุฏู‡ ุฏุฑุฌุชู‡ ุฃุฑุจุน ุฃุถุนุงู ู…ุงุงู„ู‡ุง below the
904
+
905
+ 227
906
+ 00:19:33,710 --> 00:19:40,050
907
+ mean ู‡ุงู„ุทุฑูŠู‚ุฉ ุชุญุณุจ z score now suppose one more
908
+
909
+ 228
910
+ 00:19:40,050 --> 00:19:45,790
911
+ example my score is eighty I
912
+
913
+ 229
914
+ 00:19:45,790 --> 00:19:49,810
915
+ got eighty in subject A for example now what's the
916
+
917
+ 230
918
+ 00:19:49,810 --> 00:19:56,800
919
+ value of z score?ู„ูˆ ูƒุงู†ุช 80 ุงู„ู€ mean 80 ูˆุฏุฑุฌุชูŠ 80
920
+
921
+ 231
922
+ 00:19:56,800 --> 00:20:02,740
923
+ ูŠุนู†ูŠ ุฃู†ุง ุฒูŠ ุงู„ู…ุชูˆุณุท ู…ุน ุงู„ Z-score ู…ุด ู‡ูŠุณุงูˆูŠ 80 ู†ู‚ุต
924
+
925
+ 232
926
+ 00:20:02,740 --> 00:20:10,320
927
+ 8 ุนู„ู‰ 5 ุณูˆู‰ 0 ู…ุนู†ุงู‡ ุฅูŠุด my score is
928
+
929
+ 233
930
+ 00:20:10,320 --> 00:20:12,400
931
+ 0 above the average or below the average it means
932
+
933
+ 234
934
+ 00:20:12,400 --> 00:20:19,600
935
+ my score equals the mean ุฒูŠ ู…ุง ูƒุฏู‡ my score equals
936
+
937
+ 235
938
+ 00:20:26,980 --> 00:20:33,120
939
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ูŠ ู„ุฏูŠู‡ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ุฎุทูˆุงุช ุฃุฎุฑู‰
940
+
941
+ 236
942
+ 00:20:33,120 --> 00:20:37,320
943
+ ุฃุฎุฑู‰
944
+
945
+ 237
946
+ 00:20:37,320 --> 00:20:38,460
947
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
948
+
949
+ 238
950
+ 00:20:38,460 --> 00:20:38,580
951
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
952
+
953
+ 239
954
+ 00:20:38,580 --> 00:20:40,080
955
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
956
+
957
+ 240
958
+ 00:20:40,080 --> 00:20:40,840
959
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
960
+
961
+ 241
962
+ 00:20:40,840 --> 00:20:40,860
963
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
964
+
965
+ 242
966
+ 00:20:40,860 --> 00:20:40,880
967
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
968
+
969
+ 243
970
+ 00:20:40,880 --> 00:20:45,340
971
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
972
+
973
+ 244
974
+ 00:20:45,340 --> 00:20:47,100
975
+ ู…ู† ุงู„ุฎ
976
+
977
+ 245
978
+ 00:20:58,500 --> 00:21:03,600
979
+ ู‡ุฐุง ู‚ุงู†ูˆู† ุงู„ุชู„ุงุชุฉ is as rule of thumb ู‚ุงุนุฏุฉ ุนุงู…ุฉ
980
+
981
+ 246
982
+ 00:21:03,600 --> 00:21:09,240
983
+ ุฅุฐุง z score less than negative three ูŠุนู†ูŠ
984
+
985
+ 247
986
+ 00:21:09,240 --> 00:21:13,520
987
+ ููŠ ู‡ุฐุง ุงู„ู…ู†ุทู‚ุฉ or greater than three is considered
988
+
989
+ 248
990
+ 00:21:13,520 --> 00:21:17,720
991
+ to be extreme value now go back to the previous
992
+
993
+ 249
994
+ 00:21:17,720 --> 00:21:22,240
995
+ examples do you think z score of one is considered
996
+
997
+ 250
998
+ 00:21:22,240 --> 00:21:27,880
999
+ to be outlierุŸ ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุจุงู„ุชุงู„ูŠ ู‡ูŠ ู„ูŠุณุช
1000
+
1001
+ 251
1002
+ 00:21:27,880 --> 00:21:37,780
1003
+ ุฎุงุฑุฌูŠุฉ ูุงู„ุฃูˆู„ ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚ 2 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
1004
+
1005
+ 252
1006
+ 00:21:37,780 --> 00:21:43,300
1007
+ 4 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
1008
+
1009
+ 253
1010
+ 00:21:43,300 --> 00:21:49,700
1011
+ 0 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚ ุงุชูุงู‚ ุงุชูุงู‚ 0 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
1012
+
1013
+ 254
1014
+ 00:21:49,700 --> 00:21:54,820
1015
+ ุงุชูุงู‚ ุงุชูุงู‚ 100 ู„ูˆ
1016
+
1017
+ 255
1018
+ 00:21:54,820 --> 00:21:59,440
1019
+ ูƒุงู†ุช ุชูƒุณุจ 100ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ุฌุงุจ ู…ูŠุฉ ู…ู† ู…ูŠุฉ ูˆ ุงู„ู…ุชูˆุณุท
1020
+
1021
+ 256
1022
+ 00:21:59,440 --> 00:22:06,220
1023
+ ุชู…ุงู†ูŠู† ู‡ู„ ู…ูŠุฉ ุชุนุชุจุฑ ุฃูˆุช ู„ูŠุฑุŸ ุทุงู„ุจ ุฃุฒูŠู‡ scoreุŸ ู…ูŠุฉ
1024
+
1025
+ 257
1026
+ 00:22:06,220 --> 00:22:10,860
1027
+ ู†ู‚ุต ุชู…ุงู†ูŠู† ุนู„ู‰ ุฎู…ุณุฉ four it means his score is
1028
+
1029
+ 258
1030
+ 00:22:10,860 --> 00:22:15,060
1031
+ four standard deviation above the mean and four is
1032
+
1033
+ 259
1034
+ 00:22:15,060 --> 00:22:17,920
1035
+ greater than plus three it means this point is
1036
+
1037
+ 260
1038
+ 00:22:17,920 --> 00:22:22,870
1039
+ considered to be an outlier or extreme valuesู‡ุฐู‡
1040
+
1041
+ 261
1042
+ 00:22:22,870 --> 00:22:25,110
1043
+ ุงู„ุทุฑูŠู‚ุฉ ุฃุณู‡ู„ ุทุฑูŠู‚ุฉ ู†ุนุฑู ุฅุฐุง ูƒุงู†ุช ุงู„ data is
1044
+
1045
+ 262
1046
+ 00:22:25,110 --> 00:22:28,010
1047
+ considered outlier ุงูˆ extreme ุงูˆ ู„ูŠุณ ูƒุฐู„ูƒ ูู‚ุท
1048
+
1049
+ 263
1050
+ 00:22:28,010 --> 00:22:33,870
1051
+ ุชุฌุฑุจุฉ ุงู„ z-score ุฅุฐุง ูƒุงู†ุช ุฃู‚ู„ ู…ู† 3 ุงูˆ ุฃู‚ู„ ู…ู† ู†ู‚ู„
1052
+
1053
+ 264
1054
+ 00:22:33,870 --> 00:22:41,570
1055
+ ู…ู† 3 ูู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุชุนุชุจุฑ ู†ู‚ู„ุฉ ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุชู„ุงุชุฉ ุจุณ
1056
+
1057
+ 265
1058
+ 00:22:41,570 --> 00:22:45,190
1059
+ ุฃูˆ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
1060
+
1061
+ 266
1062
+ 00:22:45,190 --> 00:22:45,990
1063
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
1064
+
1065
+ 267
1066
+ 00:22:45,990 --> 00:22:49,930
1067
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†the farther the data value
1068
+
1069
+ 268
1070
+ 00:22:49,930 --> 00:22:56,110
1071
+ is from the mean ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุทู„ู‚ุฉ ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ
1072
+
1073
+ 269
1074
+ 00:22:56,110 --> 00:23:01,090
1075
+ ุงู„ู…ุทู„ู‚ุฉ ู„ู†ุงู‚ุต four four ู…ุด ู‡ูŠ ูุจูŠุญูƒูŠ ูƒู„ ู…ูƒุงู† ููŠู‡
1076
+
1077
+ 270
1078
+ 00:23:01,090 --> 00:23:04,990
1079
+ ู‚ูŠู…ุฉ ุฃูƒุจุฑ ุจุชูƒูˆู† ุงู„ data ู…ุงู„ู‡ุง ุจุนูŠุฏุฉ ุนู† ุงู„ mean
1080
+
1081
+ 271
1082
+ 00:23:04,990 --> 00:23:09,810
1083
+ ูŠุนู†ูŠ z score of negative four which one is far
1084
+
1085
+ 272
1086
+ 00:23:09,810 --> 00:23:14,010
1087
+ from the mean z score of negative four or z score
1088
+
1089
+ 273
1090
+ 00:23:14,010 --> 00:23:19,260
1091
+ of equals two ุงู†ุณู‰ ุงู„ุฅุดุงุฑุฉู†ู‚ุงุท ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰ ู‚ูŠู…ุฉ
1092
+
1093
+ 274
1094
+ 00:23:19,260 --> 00:23:25,000
1095
+ ุงู„ูˆุงู‚ุนูŠุฉ ู‡ุฐุง ุฃูƒุจุฑ ู…ู† 2 ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ุฐุง ุงู„ูˆุถุน ู‡ูˆ
1096
+
1097
+ 275
1098
+ 00:23:25,000 --> 00:23:35,980
1099
+ ุฃูƒุชุฑ ู…ู† ุงู„ูˆุงู‚ุน ุฃุจุนุฏ ู…ู† ุงู„ู…ุชูˆุณุท ู„ุฐู„ูƒ ู…ุฑุฉ
1100
+
1101
+ 276
1102
+ 00:23:35,980 --> 00:23:41,780
1103
+ ุฃุฎุฑู‰ ู‡ุฐู‡ ู‡ูŠ ุงู„ููˆุฑู…ูˆู„ุฉ ู„ู€ z-score ู‡ู„ ุชุนุชู‚ุฏ ุฃู† z
1104
+
1105
+ 277
1106
+ 00:23:41,780 --> 00:23:47,690
1107
+ -score ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงูุถู„ ุฃูˆ ุงู‚ู„ ุงูˆ ู†ู‚ู„ 0ุŸูŠู…ูƒู† ุฃู†
1108
+
1109
+ 278
1110
+ 00:23:47,690 --> 00:23:53,530
1111
+ ูŠูƒูˆู† ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1112
+
1113
+ 279
1114
+ 00:23:53,530 --> 00:23:57,450
1115
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1116
+
1117
+ 280
1118
+ 00:23:57,450 --> 00:23:59,310
1119
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1120
+
1121
+ 281
1122
+ 00:23:59,310 --> 00:23:59,430
1123
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1124
+
1125
+ 282
1126
+ 00:23:59,430 --> 00:23:59,470
1127
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1128
+
1129
+ 283
1130
+ 00:23:59,470 --> 00:24:14,770
1131
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1132
+
1133
+ 284
1134
+ 00:24:14,770 --> 00:24:16,890
1135
+ ุงูŠุถ
1136
+
1137
+ 285
1138
+ 00:24:19,100 --> 00:24:25,100
1139
+ and equals zero if x equals x bar ุฅุฐุง ู…ู…ูƒู† ุงู„ z
1140
+
1141
+ 286
1142
+ 00:24:25,100 --> 00:24:29,460
1143
+ -score ูŠุงุฎุฏ ุชู„ุช ุญุงู„ุงุช positive ุฅุฐุง ูƒุงู† ุงู„ x
1144
+
1145
+ 287
1146
+ 00:24:29,460 --> 00:24:34,520
1147
+ greater than x bar negative ุฅุฐุง ูƒุงู† ุงู„ x more than
1148
+
1149
+ 288
1150
+ 00:24:34,520 --> 00:24:40,880
1151
+ x bar equals zero if x equals x bar this is
1152
+
1153
+ 289
1154
+ 00:24:40,880 --> 00:24:41,660
1155
+ another example
1156
+
1157
+ 290
1158
+ 00:24:46,390 --> 00:24:51,490
1159
+ ูŠูƒูˆู† ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1160
+
1161
+ 291
1162
+ 00:24:51,490 --> 00:24:52,530
1163
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1164
+
1165
+ 292
1166
+ 00:24:52,530 --> 00:24:54,710
1167
+ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡
1168
+
1169
+ 293
1170
+ 00:24:54,710 --> 00:24:57,110
1171
+ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1172
+
1173
+ 294
1174
+ 00:24:57,110 --> 00:24:57,690
1175
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1176
+
1177
+ 295
1178
+ 00:24:57,690 --> 00:24:57,910
1179
+ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡
1180
+
1181
+ 296
1182
+ 00:24:57,910 --> 00:25:00,070
1183
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1184
+
1185
+ 297
1186
+ 00:25:00,070 --> 00:25:04,070
1187
+ ุงูŠู‡
1188
+
1189
+ 298
1190
+ 00:25:04,070 --> 00:25:12,130
1191
+ ุนู„ุงู‚ุชู‡
1192
+
1193
+ 299
1194
+ 00:25:12,130 --> 00:25:20,420
1195
+ ุจุงู„ู…ูŠุฉ ุงูŠู…ุน ู…ู‚ุงุฑู†ุฉ ุฃุณุงุณูŠุฉ 100 ูˆุงู†ุช
1196
+
1197
+ 300
1198
+ 00:25:20,420 --> 00:25:24,320
1199
+ ุชุณุฃู„ ุนู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 620 ู…ู‚ุงุฑู†ุฉ ุงู„ู€
1200
+
1201
+ 301
1202
+ 00:25:24,320 --> 00:25:28,060
1203
+ z-score ุจู…ู‚ุงุฑู†ุฉ 620 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 49
1204
+
1205
+ 302
1206
+ 00:25:28,060 --> 00:25:31,140
1207
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 49 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score
1208
+
1209
+ 303
1210
+ 00:25:31,140 --> 00:25:42,080
1211
+ ุจู…ู‚ุงุฑู†ุฉ 100 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 620
1212
+
1213
+ 304
1214
+ 00:25:44,170 --> 00:25:50,930
1215
+ 620-490 ุฃูˆ 100 ูŠุนู†ูŠ 1.3 ูˆู‡ุฐุง ุฃุนู†ูŠ ุฃู† ู…ู‚ุงุฑู†ุชูŠ ุฃุนู„ู‰
1216
+
1217
+ 305
1218
+ 00:25:50,930 --> 00:25:56,630
1219
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉุŒ ุฃุนู„ู‰ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1220
+
1221
+ 306
1222
+ 00:25:56,630 --> 00:25:57,070
1223
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1224
+
1225
+ 307
1226
+ 00:25:57,070 --> 00:25:57,090
1227
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1228
+
1229
+ 308
1230
+ 00:25:57,090 --> 00:25:59,510
1231
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1232
+
1233
+ 309
1234
+ 00:25:59,510 --> 00:25:59,890
1235
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1236
+
1237
+ 310
1238
+ 00:25:59,890 --> 00:26:01,730
1239
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1240
+
1241
+ 311
1242
+ 00:26:01,730 --> 00:26:05,460
1243
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑูŠู…ูƒู† ุฃู† ูŠูƒูˆู† 1.3
1244
+
1245
+ 312
1246
+ 00:26:05,460 --> 00:26:09,260
1247
+ ุฃูˆ 1.5 ุฃูˆ ู…ู‡ู…ุง ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ู„ุฃู†ู†ุง ุญุตู„ู†ุง ุนู„ู‰ 1.3ุŒ
1248
+
1249
+ 313
1250
+ 00:26:09,260 --> 00:26:13,700
1251
+ ู„ุฐู„ูƒ ู‚ูŠู…ุฉ ู‡ุฐุง ู‡ูŠ 1.3 ู…ู‚ุงุฑู†ุฉ ุฃุนู„ู‰ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุงุณูŠุฉ
1252
+
1253
+ 314
1254
+ 00:26:13,700 --> 00:26:21,520
1255
+ ู…ุฑุฉ ุฃุฎุฑู‰ ุชุนุชุจุฑ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ 620 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงูƒุŒ ุงู„ุขู†
1256
+
1257
+ 315
1258
+ 00:26:21,520 --> 00:26:29,080
1259
+ ู‚ูŠู…ุฉ 1.3 ู„ูŠุณุช ุฃูƒุจุฑ ู…ู† 3 ุฃูƒุจุฑุŒ ุฅู†ู‡ุง ุจูŠู† 3 ุฃู‚ู„ ูˆ3
1260
+
1261
+ 316
1262
+ 00:26:29,080 --> 00:26:33,140
1263
+ ุฃูƒุจุฑุŒ ู„ุฐู„ูƒ ู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุฃูˆ ู‚ูŠู…ุฉ 620
1264
+
1265
+ 317
1266
+ 00:26:35,640 --> 00:26:43,080
1267
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุซุงู„ุซ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซุงู„ุซุฉ ุฃูˆ
1268
+
1269
+ 318
1270
+ 00:26:43,080 --> 00:26:44,180
1271
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1272
+
1273
+ 319
1274
+ 00:26:44,180 --> 00:26:45,820
1275
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1276
+
1277
+ 320
1278
+ 00:26:45,820 --> 00:26:46,500
1279
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1280
+
1281
+ 321
1282
+ 00:26:46,500 --> 00:26:46,620
1283
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1284
+
1285
+ 322
1286
+ 00:26:46,620 --> 00:26:53,900
1287
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ
1288
+
1289
+ 323
1290
+ 00:26:53,900 --> 00:27:02,500
1291
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซ
1292
+
1293
+ 324
1294
+ 00:27:12,250 --> 00:27:16,010
1295
+ ู…ุงููŠุด ุงุฎุชู„ุงู ุงู‡ ุจูŠู† ุงู„ euro score and the average
1296
+
1297
+ 325
1298
+ 00:27:16,010 --> 00:27:20,390
1299
+ ูŠุนู†ูŠ ู…ุด ุจุนูŠุฏุฉ ุงูƒุชุฑ ู„ูƒู† ู„ูˆ ู„ุงุญุธุช ู‡ู†ุง ู…ุซู„ุง ู„ู…ุง ูƒุงู†ุช
1300
+
1301
+ 326
1302
+ 00:27:20,390 --> 00:27:24,530
1303
+ eighty-five ูˆ ุงู„ average eighty is okay my score
1304
+
1305
+ 327
1306
+ 00:27:24,530 --> 00:27:28,200
1307
+ is around the averageso my score of eighty is
1308
+
1309
+ 328
1310
+ 00:27:28,200 --> 00:27:31,220
1311
+ eighty five is not large value is not extreme
1312
+
1313
+ 329
1314
+ 00:27:31,220 --> 00:27:34,600
1315
+ value but if you look at sixty if you got sixty in
1316
+
1317
+ 330
1318
+ 00:27:34,600 --> 00:27:38,180
1319
+ the scores and the average was eighty ูˆุงุถุญ ุงุญุชุฑู‚
1320
+
1321
+ 331
1322
+ 00:27:38,180 --> 00:27:41,880
1323
+ ูƒุจูŠุฑ ุจูŠู†ู‡ู… ูุฏุฑุณุชูƒ ุจุนูŠุฏุฉ ูƒุชูŠุฑ ุนู† ุงู„ุทู„ุงุจ ูˆูŠู† ู„ุชุญุช
1324
+
1325
+ 332
1326
+ 00:27:41,880 --> 00:27:46,200
1327
+ ุจุนุฏ ูƒุฏู‡ ุฏุฑุณุชูƒ ุฃู‚ู„ ู…ู† ุงู„ุทู„ุงุจ ุฃุฑุจุน ุงู†ุญุฑุงูุงุช ู…ูŠุงุฑูŠุฉ
1328
+
1329
+ 333
1330
+ 00:27:46,200 --> 00:27:50,500
1331
+ ู„ูˆ ูƒุงู†ุช ุฌูŠุจุช ู…ูŠุฉ ุจุนุฏ ูƒุฏู‡ ุฏุฑุณุชูŠ ุนุงู„ูŠุฉ ุฌุฏุง ูˆุงุทู„ุช
1332
+
1333
+ 334
1334
+ 00:27:50,500 --> 00:27:54,180
1335
+ ุฃุฑุจุน ุงู†ุญุฑุงูุงุช ู…ูŠุงุฑูŠุฉ any question?
1336
+
1337
+ 335
1338
+ 00:28:01,410 --> 00:28:06,630
1339
+ ุงู„ุณุงุจู‚ ู‡ูˆ ุดูƒู„ ุงู„ุงู†ุชุฌุงุฑ if you remember when we
1340
+
1341
+ 336
1342
+ 00:28:06,630 --> 00:28:13,990
1343
+ started chapter three we started with three
1344
+
1345
+ 337
1346
+ 00:28:13,990 --> 00:28:18,890
1347
+ definitions similar
1348
+
1349
+ 338
1350
+ 00:28:18,890 --> 00:28:22,590
1351
+ definitions in slide four ุญูƒูŠู†ุง ุงู„ central
1352
+
1353
+ 339
1354
+ 00:28:22,590 --> 00:28:27,050
1355
+ tendency ุฃุฎุฏู†ุง three measures mean, median and
1356
+
1357
+ 340
1358
+ 00:28:27,050 --> 00:28:31,590
1359
+ modeุจุนุฏ ุงุฎุฏ ุงู„ majors of variation ุงุฎู„ู†ุง ุงู„ range
1360
+
1361
+ 341
1362
+ 00:28:31,590 --> 00:28:35,530
1363
+ ุงู„ standard deviation ูˆ ุงู„ variance ูˆ ุงู„
1364
+
1365
+ 342
1366
+ 00:28:35,530 --> 00:28:40,830
1367
+ coefficient of variation ุงุฎุฑ ูˆุงุญุฏุฉ ุงูŠุด the shape ูˆ
1368
+
1369
+ 343
1370
+ 00:28:40,830 --> 00:28:44,410
1371
+ ุญูƒูŠู†ุง the shape is the pattern of distribution of
1372
+
1373
+ 344
1374
+ 00:28:44,410 --> 00:28:49,150
1375
+ values from lowest to the highest value ูƒูŠู ุดูƒู„
1376
+
1377
+ 345
1378
+ 00:28:49,150 --> 00:28:51,910
1379
+ ุงู„ุชูˆุฒูŠุน ู…ู† ุงุตุบุฑ ู‚ูŠู…ุฉ ู„ุฃูƒุจุฑ ู‚ูŠู…ุฉ ูŠุนู†ูŠ ุงู†ุง ุนุงูŠุฒ ุงุนุฑู
1380
+
1381
+ 346
1382
+ 00:28:51,910 --> 00:28:55,850
1383
+ ุดูƒู„ ุงู„ุชูˆุฒูŠุน ู„ูƒู„ ุงู„ data set ู‡ุฐุง ุงู„ู„ูŠ ุญู†ุญูƒูŠ ุนู„ูŠู‡
1384
+
1385
+ 347
1386
+ 00:28:55,850 --> 00:29:03,350
1387
+ ุงู„ุขู† ุงู† ุดุงุก ุงู„ู„ู‡ุงู„ู„ูŠ ู‡ูˆ ุขุฎุฑ ูˆุงุญุฏุฉ ุงู„ูŠูˆู… ุงู„ู„ูŠ ู‡ูˆ
1388
+
1389
+ 348
1390
+ 00:29:03,350 --> 00:29:07,010
1391
+ shape of a distribution ุดูƒู„ ุงู„ุชูˆุฒูŠุน
1392
+
1393
+ 349
1394
+ 00:29:33,530 --> 00:29:36,330
1395
+ ุจุนุฏูŠ ุจุนุฏูŠ
1396
+
1397
+ 350
1398
+ 00:29:39,280 --> 00:29:43,240
1399
+ ุงู„ุงู† ุณุงุจูˆุฒ ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ูˆู†ุญู† ู…ู‡ุชู…ูŠู†
1400
+
1401
+ 351
1402
+ 00:29:43,240 --> 00:29:51,320
1403
+ ุจุงู„ุนุฑูุฉ ุนู† ุดูƒู„ ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ุงู„ุดูƒู„ุฉ ุชุณู…ุญ
1404
+
1405
+ 352
1406
+ 00:29:51,320 --> 00:29:55,700
1407
+ ุจูƒูŠููŠุฉ ู…ุฌู…ูˆุนุฉ ุงู„ุจูŠุงู†ุงุช ุจูŠูˆุถุญ
1408
+
1409
+ 353
1410
+ 00:29:55,700 --> 00:30:06,900
1411
+ ุงูˆ ูŠูˆุตู ูƒูŠู ุชุชูˆุฒู‚ ุดูƒู„ ุงู„ุจูŠุงู†ุงุช ุดูƒู„ุชูŠู†
1412
+
1413
+ 354
1414
+ 00:30:06,900 --> 00:30:16,890
1415
+ ู…ู‡ู…ุฉ ุชุชุตุฑู ููŠ ุงู„ุดูƒู„number one is called skewness
1416
+
1417
+ 355
1418
+ 00:30:16,890 --> 00:30:27,970
1419
+ skewness ุฃุณู…ุนุด skew ุฃูˆ skewness ุงู„ุชูˆุงุน ุงู„ุชูˆุงุน
1420
+
1421
+ 356
1422
+ 00:30:27,970 --> 00:30:31,010
1423
+ ุงู„ุชูˆุงุน
1424
+
1425
+ 357
1426
+ 00:30:31,010 --> 00:30:33,850
1427
+ ู…ุนู†ุงู‡ measures the extent to which data values are
1428
+
1429
+ 358
1430
+ 00:30:33,850 --> 00:30:38,830
1431
+ not symmetrical symmetrical ูŠุนู†ูŠ ู…ุชู…ุซู„
1432
+
1433
+ 359
1434
+ 00:30:40,200 --> 00:30:48,320
1435
+ ูˆ ุจูŠู† ุงู„ุฃูŠู…ุฏุฉ ุงู„ data values ุจุชูƒูˆู† ู…ุชู…ุงุซู„ุฉ if you
1436
+
1437
+ 360
1438
+ 00:30:48,320 --> 00:30:52,260
1439
+ look at this data and suppose we have this graph
1440
+
1441
+ 361
1442
+ 00:30:52,260 --> 00:30:55,700
1443
+ suppose we have data set and we have this graph
1444
+
1445
+ 362
1446
+ 00:30:55,700 --> 00:30:58,740
1447
+ this
1448
+
1449
+ 363
1450
+ 00:30:58,740 --> 00:30:59,300
1451
+ is the mean
1452
+
1453
+ 364
1454
+ 00:31:06,050 --> 00:31:11,070
1455
+ ู„ูˆ this graph is symmetricุŒ symmetric ู…ุนู†ุงู‡ุŒ ู…ุนู†ุงู‡
1456
+
1457
+ 365
1458
+ 00:31:11,070 --> 00:31:18,390
1459
+ ู…ุชู…ุซู„ุŒ symmetric ู…ุนู†ุงู‡
1460
+
1461
+ 366
1462
+ 00:31:18,390 --> 00:31:22,110
1463
+ ู…ุชู…ุซู„ุŒ ุฅูŠุด ู…ุนู†ุงู‡ ู…ุชู…ุซู„ุŸ ูŠุนู†ูŠ ุงู„ right ูˆ ุงู„ left ู…ุง
1464
+
1465
+ 367
1466
+ 00:31:22,110 --> 00:31:26,810
1467
+ ู„ู‡ู… ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถ ูŠุนู†ูŠ ุงู„ main value is in the
1468
+
1469
+ 368
1470
+ 00:31:26,810 --> 00:31:29,230
1471
+ center of the distributionุŒ ููŠ ุงู„ู†ุต ุงู„ุฌู‡ุฉ ุจุงู„ุธุจุท
1472
+
1473
+ 369
1474
+ 00:31:29,230 --> 00:31:34,330
1475
+ ูŠุนู†ูŠ ุงู„ main value ููŠ ุงู„ู…ุฑูƒุฒุŒ ููŠ ุงู„ centerTable
1476
+
1477
+ 370
1478
+ 00:31:34,330 --> 00:31:40,950
1479
+ skewed skewed ู…ุนู†ุงู‡ุง ู‡ูŠูƒ ู„ุญุธุฉ
1480
+
1481
+ 371
1482
+ 00:31:40,950 --> 00:31:46,390
1483
+ ู‡ูŠ ุงู„ main value ุจุณ
1484
+
1485
+ 372
1486
+ 00:31:46,390 --> 00:31:49,270
1487
+ ู„ูˆ ุทู„ุนุช ุนู„ูŠู‡ ู…ู† ุทุฑู ุฃูŠ ู…ู†ุทู‚ุฉ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ู‡ู†ุง ุงู„
1488
+
1489
+ 373
1490
+ 00:31:49,270 --> 00:31:53,830
1491
+ right side ู…ุด ุฒูŠ ุงู„ left side ุงุฐุง ู‡ุฐุง ู…ุด .. ู…ุด
1492
+
1493
+ 374
1494
+ 00:31:53,830 --> 00:32:00,650
1495
+ symmetric ุจุฑุถู‡ ู„ูˆ ูƒุงู† ุงู„ุนูƒุณ ู„ูˆ
1496
+
1497
+ 375
1498
+ 00:32:00,650 --> 00:32:01,650
1499
+ ุญุงุฌุฉ ุฒูŠูƒ ู‡ูŠ ุงู„ main
1500
+
1501
+ 376
1502
+ 00:32:05,180 --> 00:32:10,700
1503
+ ุจุฑุถู‡ ู‡ุฐุง not symmetric ุฅุฐุง ุงู„ skewness measures
1504
+
1505
+ 377
1506
+ 00:32:10,700 --> 00:32:13,520
1507
+ the extent to which data values are not symmetric
1508
+
1509
+ 378
1510
+ 00:32:13,520 --> 00:32:17,160
1511
+ ุฎู„ู‘ูŠู†ูŠ
1512
+
1513
+ 379
1514
+ 00:32:17,160 --> 00:32:19,800
1515
+ ุฃุญูƒูŠ ุนู„ูŠู‡ุง ุงู„ูŠูˆู… ูˆ ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ ุจู†ุญูƒูŠ ุนู„ูŠ ุงู„
1516
+
1517
+ 380
1518
+ 00:32:19,800 --> 00:32:27,520
1519
+ kurtosis ุงู„ kurtosis ู…ุนู†ุงู‡ุง ุชูู„ุทุญ ู‡ูŠ
1520
+
1521
+ 381
1522
+ 00:32:27,520 --> 00:32:28,280
1523
+ ูƒุฏู‡ ู…ุนู†ุงู‡ุง
1524
+
1525
+ 382
1526
+ 00:32:32,660 --> 00:32:36,160
1527
+ ุฃุญูŠุงู†ุง ู…ู…ูƒู† ุชูƒูˆู† ุงู„ .. ุงู„ expression ุจุงู„ุนุฑุจูŠ ู…ุด
1528
+
1529
+ 383
1530
+ 00:32:36,160 --> 00:32:51,240
1531
+ ุจูˆุถุญุด ุงู„ู…ุนู†ู‰ ุชุจุนู‡ ู„ูƒู† ุงู„ุชุนุฑูŠู ู…ู…ูƒู† ุชูƒูˆู† ุฃูˆุถุญ ุงู†ุช
1532
+
1533
+ 384
1534
+ 00:32:51,240 --> 00:32:54,100
1535
+ ุจู‚ุงู„ูƒุด ุชุนุฑููŠู‡ุง ูƒูŠู ุงุชุฌู‡ุช ุงู„ู…ุนู†ู‰ ู‡ุณู‡ ุงู†ุง ุชูู„ุทุญ ุงูˆ
1536
+
1537
+ 385
1538
+ 00:32:54,100 --> 00:32:59,160
1539
+ ุชูุฑุทุญ ุญุณุจ ุงู„ูƒุชุฑ ุทุจ ู†ุงุฎุฏ ุงู„ู„ุงูุธ ุชุจุญุด ู…ุนู†ุงู‡
1540
+
1541
+ 386
1542
+ 00:33:02,930 --> 00:33:07,230
1543
+ ุงู„ู€ care measures the weakness of the care of
1544
+
1545
+ 387
1546
+ 00:33:07,230 --> 00:33:15,510
1547
+ distribution ุจูŠูƒ ู…ุนู†ุงู‡ ุฅูŠุดุŸ ู‚ู…ุฉุŒ ุจุญูƒูŠ weakness ู„ุฃ
1548
+
1549
+ 388
1550
+ 00:33:15,510 --> 00:33:21,030
1551
+ ู…ุด ู…ุนู†ุงู‡ุง ุงู„ู‚ุงุนุฉุŒ ู…ุด ู…ุนู†ุงู‡ุง ุงู„ุนูƒุณ ูŠุนู†ูŠ
1552
+
1553
+ 389
1554
+ 00:33:21,030 --> 00:33:28,870
1555
+ ุทู„ุน
1556
+
1557
+ 390
1558
+ 00:33:28,870 --> 00:33:35,520
1559
+ ุนู„ู‰ ุงู„ graph ุงู„ู„ูŠ ู‡ู†ุงู‡ูŠ ุงู„ู‚ู…ุฉ ุชุจุนู‡ุง ูˆ graph ุชุงู†ูŠ
1560
+
1561
+ 391
1562
+ 00:33:35,520 --> 00:33:42,280
1563
+ ูˆุตู„ ุงู„ center ู‡ูŠูƒ ูˆุงุญุฏ
1564
+
1565
+ 392
1566
+ 00:33:42,280 --> 00:33:49,040
1567
+ ุชุงู„ุช ูˆุตู„ ุงู„ู‚ู…ุฉ ุจุฐุง ุดูƒู„ ูŠุนู†ูŠ
1568
+
1569
+ 393
1570
+ 00:33:49,040 --> 00:33:54,760
1571
+ ูˆุงุญุฏ ุงู„ู‚ู…ุฉ ุชุญุชู‡ ู…ุฏุจุจุฉ sharp ูˆุงุญุฏ flat ุฒูŠ ู‡ูŠูƒ ุงูˆ
1572
+
1573
+ 394
1574
+ 00:33:54,760 --> 00:33:58,560
1575
+ flat ุงูƒุชุฑ ู‡ุฐุง ู†ุณู…ูŠู‡ kurtosis ุชูู„ุทุญ
1576
+
1577
+ 395
1578
+ 00:34:01,890 --> 00:34:07,330
1579
+ that is how sharply the curve rises approaching
1580
+
1581
+ 396
1582
+ 00:34:07,330 --> 00:34:11,430
1583
+ the center of distribution ูƒู… ูƒุงู† ุญุฏ ุงู„ุชูˆุฒูŠุน ู„ู…ุง
1584
+
1585
+ 397
1586
+ 00:34:11,430 --> 00:34:16,890
1587
+ ูˆุตู„ ู„ู„ู‚ู…ุฉ ู‡ู„ sharp ุฒูŠ ู‡ู‰ ุงู„ู†ู‚ุทุฉ ุงู„ู„ู‰ ุชู…ุซู„ ุงู„
1588
+
1589
+ 398
1590
+ 00:34:16,890 --> 00:34:22,030
1591
+ maximum ู…ุด ู‡ู‰ ู‡ู‰ ุงู„ maximum ู„ู…ุง ูˆุตู„ ู„ ุงู„ max ูƒุงู†
1592
+
1593
+ 399
1594
+ 00:34:22,030 --> 00:34:25,870
1595
+ sharp ูˆู„ุง ูƒุงู† flat ู‡ุฐุง ุจูˆุถุญ ุงู„ูƒูŠุฑุชุณ ุงู„ู„ู‰ ู‚ุงู„ ุฌู‡ุฉ
1596
+
1597
+ 400
1598
+ 00:34:25,870 --> 00:34:29,950
1599
+ ุงู† ุดุงุก ุงู„ู„ู‡ ุฎู„ูŠู†ุง ุนู„ู‰ ุงู„ security ุงู„ูŠูˆู… ูˆู†ุงุฎุฏ
1600
+
1601
+ 401
1602
+ 00:34:29,950 --> 00:34:38,400
1603
+ three figuresุงู†ุธุฑ ุฅู„ู‰ ุงู„ูˆุงุญุฏ ููŠ ุงู„ู…ูˆุณูŠู‚ู‰ ุงู„ุขู†
1604
+
1605
+ 402
1606
+ 00:34:38,400 --> 00:34:42,600
1607
+ ู‡ุฐุง ู…ุฑุชุจุท ู„ุฐู„ูƒ ู„ุชุนุงู…ู„ ุงู„ุชุนุงู…ู„ ุงู„ู…ุฑุชุจุท ุงู„ู…ูˆุณูŠู‚ู‰
1608
+
1609
+ 403
1610
+ 00:34:42,600 --> 00:34:47,820
1611
+ ูˆุงู„ู…ูˆุณูŠู‚ู‰ ู…ุฑุชุจุท ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ู‹ุง ู„ุฐู„ูƒ ู„ู„ู…ูˆุณูŠู‚ู‰
1612
+
1613
+ 404
1614
+ 00:34:47,820 --> 00:34:53,180
1615
+ ุงู„ู…ุฑุชุจุท ุงู„ู…ูˆุณูŠู‚ู‰ ู…ุฑุชุจุท ุงู„ู…ูˆุณูŠู‚ู‰
1616
+
1617
+ 405
1618
+ 00:34:55,670 --> 00:34:58,170
1619
+ ู„ุฐู„ูƒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1620
+
1621
+ 406
1622
+ 00:34:58,170 --> 00:34:58,870
1623
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1624
+
1625
+ 407
1626
+ 00:34:58,870 --> 00:35:00,610
1627
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1628
+
1629
+ 408
1630
+ 00:35:00,610 --> 00:35:07,930
1631
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1632
+
1633
+ 409
1634
+ 00:35:07,930 --> 00:35:12,370
1635
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1636
+
1637
+ 410
1638
+ 00:35:12,370 --> 00:35:15,170
1639
+ ู…ุณู…ูˆุนุฉ
1640
+
1641
+ 411
1642
+ 00:35:20,490 --> 00:35:25,490
1643
+ ู…ู† ุงู„ุฃุทูˆู„ ุงู„ lift tail ูˆุงุถุญ lift ุฃุทุฑุงู ุงู„ุฃูŠ ุฃุณุงู‚
1644
+
1645
+ 412
1646
+ 00:35:25,490 --> 00:35:32,210
1647
+ is longer than right tail ู‡ุฐุง ุจู†ุณู…ูŠู‡ lift skewed
1648
+
1649
+ 413
1650
+ 00:35:32,210 --> 00:35:40,110
1651
+ ุฅุฐุง ู…ุง ูŠูƒูˆู† ุงู„ lift tail ู‡ุงูŠ ุงู„ lift tail ูˆุงุถุญ
1652
+
1653
+ 414
1654
+ 00:35:40,110 --> 00:35:45,730
1655
+ ุฃู†ู‡ lift tail is longer than right tail ู‡ุงูŠ ุงู„
1656
+
1657
+ 415
1658
+ 00:35:45,730 --> 00:35:46,490
1659
+ lift tail is longer
1660
+
1661
+ 416
1662
+ 00:35:49,740 --> 00:35:55,860
1663
+ than ุงู„ right tail ุงู„ median ู„ูˆ ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ out
1664
+
1665
+ 417
1666
+ 00:35:55,860 --> 00:36:00,040
1667
+ layers we know that the median is less sensitive
1668
+
1669
+ 418
1670
+ 00:36:00,040 --> 00:36:04,180
1671
+ to out layers ู…ุด ู‡ูŠ ุฃู‚ู„ ุญุณุงุณูŠุฉ ู„ out layers ู„ูƒู† ุงู„
1672
+
1673
+ 419
1674
+ 00:36:04,180 --> 00:36:11,620
1675
+ mean ู…ุงู„ู‡ more sensitive ูุงู„ mean always in this
1676
+
1677
+ 420
1678
+ 00:36:11,620 --> 00:36:17,930
1679
+ case P to the left side so the meanู‡ูŠ ุฃูƒุซุฑ ุดุฎุตูŠุฉ
1680
+
1681
+ 421
1682
+ 00:36:17,930 --> 00:36:22,890
1683
+ ู„ู„ุฎุทูˆุท ุงู„ุฎุงุฑุฌูŠุฉ ู„ุฐุง ููŠ ุญุงู„ุฉ ุงุชุฌุงุฑุฉ ุงุชุฌุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1684
+
1685
+ 422
1686
+ 00:36:22,890 --> 00:36:27,970
1687
+ ุงุชุฌุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1688
+
1689
+ 423
1690
+ 00:36:27,970 --> 00:36:33,990
1691
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1692
+
1693
+ 424
1694
+ 00:36:33,990 --> 00:36:35,910
1695
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1696
+
1697
+ 425
1698
+ 00:36:35,910 --> 00:36:36,550
1699
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1700
+
1701
+ 426
1702
+ 00:36:36,550 --> 00:36:37,990
1703
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1704
+
1705
+ 427
1706
+ 00:36:37,990 --> 00:36:40,510
1707
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1708
+
1709
+ 428
1710
+ 00:36:40,510 --> 00:36:41,650
1711
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠ
1712
+
1713
+ 429
1714
+ 00:36:44,510 --> 00:36:47,890
1715
+ ุฏุงุฆู…ุง ุงู„ู€ mean ุจูŠูƒูˆู† ู…ุน ุทุฑู ุงู„ุฃุทูˆู„ุŒ ูŠุนู†ูŠ ูˆูŠู† ููŠู‡
1716
+
1717
+ 430
1718
+ 00:36:47,890 --> 00:36:51,430
1719
+ ุทุฑู ุฃุทูˆู„ุŒ ูŠุนู†ูŠ ูˆูŠู† ููŠู‡ outliersุŒ ุงู„ู€ mean ุจุชุฃุซุฑ
1720
+
1721
+ 431
1722
+ 00:36:51,430 --> 00:36:55,650
1723
+ ุจู‡ุงุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุด ู‡ูŠูƒ ุฃู† ุงู„ู€ mean is much affected
1724
+
1725
+ 432
1726
+ 00:36:55,650 --> 00:36:59,310
1727
+ by extreme values than the medianุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ mean
1728
+
1729
+ 433
1730
+ 00:36:59,310 --> 00:37:03,370
1731
+ ุฏุงูŠู…ุง ุจูŠุชุฌู‡ ู„ู‡ูˆูŠู† ู„ู„ outliersุŒ ุงู„ outliers ุงู„ู„ูŠ
1732
+
1733
+ 434
1734
+ 00:37:03,370 --> 00:37:07,830
1735
+ ู…ูˆุฌูˆุฏูŠู† left sideุŒ ุงุฐุง ู‡ูˆ ุจุฑูˆุญ ุงู„ left ุทุงู„ู…ุง ูŠุฌูŠ
1736
+
1737
+ 435
1738
+ 00:37:07,830 --> 00:37:11,010
1739
+ ุนู„ู‰ ุงู„ leftุŒ ุงุฐุง ู‚ูŠู…ุชู‡ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ medianุŒ
1740
+
1741
+ 436
1742
+ 00:37:11,010 --> 00:37:12,710
1743
+ look at the graph C
1744
+
1745
+ 437
1746
+ 00:37:16,810 --> 00:37:20,090
1747
+ ุงู„ุงู† ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡
1748
+
1749
+ 438
1750
+ 00:37:20,090 --> 00:37:21,110
1751
+ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1752
+
1753
+ 439
1754
+ 00:37:21,110 --> 00:37:23,570
1755
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1756
+
1757
+ 440
1758
+ 00:37:23,570 --> 00:37:26,970
1759
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1760
+
1761
+ 441
1762
+ 00:37:26,970 --> 00:37:27,830
1763
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1764
+
1765
+ 442
1766
+ 00:37:27,830 --> 00:37:33,490
1767
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1768
+
1769
+ 443
1770
+ 00:37:33,490 --> 00:37:42,630
1771
+ ุงูƒุชุฑุŸ
1772
+
1773
+ 444
1774
+ 00:37:42,630 --> 00:37:47,810
1775
+ ุงูƒุชas a women's shirt, the mean tends to be in the
1776
+
1777
+ 445
1778
+ 00:37:47,810 --> 00:37:52,110
1779
+ direction of long tail ุจุฑูˆุญ ู„ุชุฌุงู‡ ุงู„ุฃุทูˆู„, now the
1780
+
1781
+ 446
1782
+ 00:37:52,110 --> 00:37:56,110
1783
+ long tail is to the right side ุงุฐุง ู…ุนุงูƒ ุฏู‡ ุงู„ mean
1784
+
1785
+ 447
1786
+ 00:37:56,110 --> 00:38:03,910
1787
+ ู‡ู†ุง which is bigger, mean or median ุงู„ media .. ุงู„
1788
+
1789
+ 448
1790
+ 00:38:03,910 --> 00:38:08,190
1791
+ mean ุฑุงุญ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุทุฑู ุงู„ูŠู…ูŠู† ุฏูŠ ุงู…ุง ุงู„ุฃุทูˆู„ ุงู„ู„ูŠ
1792
+
1793
+ 449
1794
+ 00:38:08,190 --> 00:38:13,010
1795
+ ู„ู…ุง ุจูƒูˆู† ุนู†ุฏูŠ ุฃุฑู‚ุงู… ู…ู† ูˆุงุญุฏ ู„ุฃู„ู ุงู„ู„ูŠ ู‡ูŠูƒ ุจูƒูˆู† ุฃุท
1796
+
1797
+ 450
1798
+ 00:38:13,010 --> 00:38:18,010
1799
+ ุฃูƒุจุฑ, ุจุงู„ุชุงู„ูŠ ุงู„ mean ุฃูƒุจุฑุฅุฐุง for right skewed the
1800
+
1801
+ 451
1802
+ 00:38:18,010 --> 00:38:21,270
1803
+ mean is always greater than the median so we have
1804
+
1805
+ 452
1806
+ 00:38:21,270 --> 00:38:25,330
1807
+ three different situations if we have symmetric
1808
+
1809
+ 453
1810
+ 00:38:25,330 --> 00:38:28,890
1811
+ distribution then mean and the median are equals
1812
+
1813
+ 454
1814
+ 00:38:28,890 --> 00:38:33,910
1815
+ but for left skewed the mean is smaller than the
1816
+
1817
+ 455
1818
+ 00:38:33,910 --> 00:38:37,490
1819
+ median and for right skewed the mean is greater
1820
+
1821
+ 456
1822
+ 00:38:37,490 --> 00:38:43,370
1823
+ than the median ูŠุนู†ูŠ ู…ุนู†ุงู‡ ูƒุฏู‡ for left skewed
1824
+
1825
+ 457
1826
+ 00:38:43,370 --> 00:38:45,130
1827
+ skewness
1828
+
1829
+ 458
1830
+ 00:38:51,970 --> 00:38:55,130
1831
+ ุงู„ุงุณุชุฎุฏุงู… ูŠูƒูˆู† ู…ูˆุฌุจ ุงูˆ ุณุงู„ุจ ุนู„ู‰ ุญุณุจูƒ ุงู„ุงุณุชุฎุฏุงู…
1832
+
1833
+ 459
1834
+ 00:38:55,130 --> 00:39:00,990
1835
+ ูŠูƒูˆู† ู†ูŠุฌุงุชูŠุจ ูˆุงู„ุงุณุชุฎุฏุงู… ูŠุตุจุญ
1836
+
1837
+ 460
1838
+ 00:39:00,990 --> 00:39:01,390
1839
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1840
+
1841
+ 461
1842
+ 00:39:01,390 --> 00:39:05,530
1843
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1844
+
1845
+ 462
1846
+ 00:39:05,530 --> 00:39:06,350
1847
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1848
+
1849
+ 463
1850
+ 00:39:06,350 --> 00:39:06,370
1851
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1852
+
1853
+ 464
1854
+ 00:39:06,370 --> 00:39:07,490
1855
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1856
+
1857
+ 465
1858
+ 00:39:07,490 --> 00:39:15,430
1859
+ ุงู…ุฑูŠูƒูŠ ุง
1860
+
1861
+ 466
1862
+ 00:39:18,590 --> 00:39:24,990
1863
+ ู‡ูŠ ุงูŠู‡ุŸ Symmetric B skewed to the left C skewed to
1864
+
1865
+ 467
1866
+ 00:39:24,990 --> 00:39:28,310
1867
+ the right which one suspected to have an outlier?
1868
+
1869
+ 468
1870
+ 00:39:29,670 --> 00:39:37,430
1871
+ B and C ู‡ุฐุง ุงูŠู‡ุŸ A B and C which one has outlier?
1872
+
1873
+ 469
1874
+ 00:39:38,590 --> 00:39:45,130
1875
+ A and C could be outlier exist in these two graphs
1876
+
1877
+ 470
1878
+ 00:39:46,090 --> 00:39:50,130
1879
+ ู„ูƒู† ุงุฐุง ูƒุงู† ู„ุฏูŠูƒ ู…ุฌู…ูˆุนุฉ ู…ุชุณุงูˆู…ุฉ ูู‡ุฐุง ูŠุนู†ูŠ ุงู†
1880
+
1881
+ 471
1882
+ 00:39:50,130 --> 00:39:55,690
1883
+ ุงู„ุงุฎุชู„ุงูุงุช ู„ูŠุณุช ู…ูˆุฌูˆุฏุฉ ูู„ู„ู…ุฌู…ูˆุนุฉ ุงู„ู…ุชุณุงูˆู…ุฉ
1884
+
1885
+ 472
1886
+ 00:39:55,690 --> 00:39:59,730
1887
+ ุงู„ุจูŠุงู†ุงุช ุฎู„ุงุตุฉ ู…ู† ุงู„ุฎู„ุงุทุงุช ุงู„ุฎุงุฑุฌูŠุฉ ู…ููŠุด ููŠู‡ุง
1888
+
1889
+ 473
1890
+ 00:39:59,730 --> 00:40:05,870
1891
+ ุฎู„ุงุทุงุช ุฎุงุฑุฌูŠุฉ ุงู†ุง ุณุฃุชูˆู‚ู ู‡ู†ุง ูˆ ููŠ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู†
1892
+
1893
+ 474
1894
+ 00:40:05,870 --> 00:40:11,050
1895
+ ุดุงุก ุงู„ู„ู‡ ุณู†ุณุชู…ุฑ ููŠ ู…ุดุงู‡ุฏุฉ ู…ุฌู…ูˆุนุงุช ุงู„ุชุณุงูˆู…ุฉ
1896
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/kU4kuUZNOI8_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/kU4kuUZNOI8_raw.srt ADDED
@@ -0,0 +1,1956 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃูƒู…ู„
4
+
5
+ 2
6
+ 00:00:24,870 --> 00:00:33,930
7
+ ู…ู‚ุงู„ุงุช ุงู„ุชุบูŠูŠุฑ ุณุฃุจุฏุฃ ู…ุน ู…ู‚ุงู„ุฉ ุงู„ุชุบูŠูŠุฑ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ
8
+
9
+ 3
10
+ 00:00:33,930 --> 00:00:39,310
11
+ ู‡ุฐุง ุงู„ู…ู‚ุงู„ ูŠู‚ูˆู… ุจู…ู‚ุงู„ุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุทุŒ ุงุนู†ูŠ
12
+
13
+ 4
14
+ 00:00:39,310 --> 00:00:43,690
15
+ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุท ู…ู† ู…ู‚ุงู„ุฉ ุงู„ุจูŠุงู†ุงุช ุฅู„ู‰ ู…ู‚ุงู„ุชู‡ุง
16
+
17
+ 5
18
+ 00:00:43,690 --> 00:00:51,630
19
+ ุฏุงุฆู…ุง ููŠ ู…ู‚ุงู„ุฉูˆูŠุธู‡ุฑ ุงู„ุชุบูŠูŠุฑ ู…ุฑุชุจุท ุจุงู„ู…ู‚ุงู„ ู„ูŠุณ ูู‚ุท
20
+
21
+ 6
22
+ 00:00:51,630 --> 00:00:57,370
23
+ ุงู„ุชุบูŠูŠุฑ ู„ูƒู† ุงู„ุชุบูŠูŠุฑ ู…ุฑุชุจุท ุจุงู„ู…ู‚ุงู„ ูˆูŠู…ูƒู† ุงุณุชุฎุฏุงู…ู‡
24
+
25
+ 7
26
+ 00:00:57,370 --> 00:01:04,570
27
+ ู„ุชู‚ุงุฑูŠุฑ ุงูˆ ุงูˆ ุงูƒุชุฑ ู…ุฌู…ูˆุนุงุช ู…ู† ุงู„ุจูŠุงู†ุงุช ุงู„ู…ู‚ุงุฑู†ุฉ ููŠ
28
+
29
+ 8
30
+ 00:01:04,570 --> 00:01:07,750
31
+ ูƒู„ุง ุงู„ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุงูˆ ู†ูุณ ุงู„ู…ุฌู…ูˆุนุงุช ู„ูƒู† ุฃูƒุชุฑ
32
+
33
+ 9
34
+ 00:01:07,750 --> 00:01:14,330
35
+ ู…ู…ูƒู† ุงู† ู†ุณุชุฎุฏู…ู‡ุง ู„ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชูŠ ูŠุฌุจ
36
+
37
+ 10
38
+ 00:01:14,330 --> 00:01:20,850
39
+ ุฃู† ู†ุณุชุฎุฏู…ู‡ุง ู„ุชุบูŠูŠุฑ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉCV ู‡ูˆ S ุนู„ู‰ X ุจุงุฑ
40
+
41
+ 11
42
+ 00:01:20,850 --> 00:01:22,330
43
+ ู…ุฑุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
44
+
45
+ 12
46
+ 00:01:22,330 --> 00:01:22,530
47
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
48
+
49
+ 13
50
+ 00:01:22,530 --> 00:01:25,890
51
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
52
+
53
+ 14
54
+ 00:01:25,890 --> 00:01:26,210
55
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
56
+
57
+ 15
58
+ 00:01:26,210 --> 00:01:26,210
59
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
60
+
61
+ 16
62
+ 00:01:26,210 --> 00:01:27,010
63
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
64
+
65
+ 17
66
+ 00:01:27,010 --> 00:01:27,710
67
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
68
+
69
+ 18
70
+ 00:01:27,710 --> 00:01:28,830
71
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
72
+
73
+ 19
74
+ 00:01:28,830 --> 00:01:46,610
75
+ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ ู…ุงุฆูŠุฉ
76
+
77
+ 20
78
+ 00:01:46,610 --> 00:01:52,430
79
+ ู…ุฃูˆู„ุงู‹ ุงู„ู€ sample mean ูˆ ุงู„ู€ sample standard
80
+
81
+ 21
82
+ 00:01:52,430 --> 00:01:55,370
83
+ deviation ู„ูƒูŠ ู†ู‚ูˆู… ุจุญุณุงุจ ุงู„ู€ coefficient of
84
+
85
+ 22
86
+ 00:01:55,370 --> 00:01:59,130
87
+ variation ูˆุงุถุญ ุนุดุงู† ุฃุญุณุจ ุงู„ CV ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ุฃุญุณุจ
88
+
89
+ 23
90
+ 00:01:59,130 --> 00:02:02,330
91
+ ุงู„ mean ูˆ ุจุนุฏูŠู† ุงู„ standard deviation ูŠุนู†ูŠ ู„ูˆ ุทู„ุจุช
92
+
93
+ 24
94
+ 00:02:02,330 --> 00:02:06,570
95
+ ู…ู†ูƒ ุทู„ุน ุงู„ CV ุฃุญุณุจ ุงู„ CV ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุฃูˆู„ุงู‹ ุจุญุณุงุจ X
96
+
97
+ 25
98
+ 00:02:06,570 --> 00:02:10,670
99
+ bar ุซู… ู†ุณุชุทูŠุน ู†ู‚ูˆู… ุจุญุณุงุจ ุงู„ coefficient of
100
+
101
+ 26
102
+ 00:02:10,670 --> 00:02:15,090
103
+ variation ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
104
+
105
+ 27
106
+ 00:02:17,880 --> 00:02:23,400
107
+ ุงู„ุงู† ู„ุฏูŠู†ุง ุงุชุตุงู„ูŠู† ุงุชุตุงู„ ุงูŠู‡ ุชุนุฑููŠู† ุงูŠุด ู…ุนู†ู‰ ุงุชุตุงู„
108
+
109
+ 28
110
+ 00:02:23,400 --> 00:02:35,040
111
+ ู†ุนู… ุงูŠุด ู…ุนู†ู‰ ุงุชุตุงู„ ุณู‡ู… ุงุชุตุงู„ ุงูŠู‡ ุงุนู†ุงุก ู‚ูŠู…ุฉ ุงุชุตุงู„
112
+
113
+ 29
114
+ 00:02:35,040 --> 00:02:41,900
115
+ ุงูŠู‡ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ุงุนู†ุงุก ู‚ูŠู…ุฉ
116
+
117
+ 30
118
+ 00:02:41,900 --> 00:02:44,500
119
+ ุงุชุตุงู„ ุงูŠู‡ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ
120
+
121
+ 31
122
+ 00:02:48,090 --> 00:02:54,110
123
+ ูƒุงู† 5 ุฏูˆู„ุงุฑ ู„ุฐู„ูƒ ู„ุฏูŠู†ุง ูƒู„ุงู‡ู…ุง ุงู„ุขู† ุงู„ู…ูŠุงู† ูˆู…ู‚ุงุฑู†ุฉ
124
+
125
+ 32
126
+ 00:02:54,110 --> 00:02:59,070
127
+ ุงู„ุฃุณุนุงุฑ ู„ู€ Stock A ุงู„ุขู†
128
+
129
+ 33
130
+ 00:02:59,070 --> 00:03:04,510
131
+ ู…ู‚ุงุฑู†ุฉ ุฃุฎุฑู‰ ุงุณู…ู‡ุง Stock B ู…ู‚ุงุฑู†ุฉ Stock B ู„ุฏูŠู‡ุง
132
+
133
+ 34
134
+ 00:03:04,510 --> 00:03:11,050
135
+ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ุนุงู… ุงู„ู…ุงุถูŠ 100 ุฏูˆู„ุงุฑ ุงู„ู…ูŠุงู† 100
136
+
137
+ 35
138
+ 00:03:11,050 --> 00:03:18,330
139
+ ุฏูˆู„ุงุฑ ูˆู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุนุงุฑ ุฃูŠุถุง 5 ุฏูˆู„ุงุฑุงู„ุงู† ูƒู„ุง ุงู„ุฃุณู‡ู…
140
+
141
+ 36
142
+ 00:03:18,330 --> 00:03:24,430
143
+ ูŠู…ุชู„ูƒูˆู† ู†ูุณ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู„ุฐุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ู†
144
+
145
+ 37
146
+ 00:03:24,430 --> 00:03:30,310
147
+ ุงู„ู…ูู‡ูˆู… ุงู†ู‡ู… ูŠู…ุชู„ูƒูˆู† ู†ูุณ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู…ุน ูƒุฐุง ู†ูุณ
148
+
149
+ 38
150
+ 00:03:30,310 --> 00:03:33,490
151
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู„ูƒู† ุฅุฐุง ุชู†ุธุฑ ุฅู„ู‰ ุฃุณุนุงุฑ ุงู„ุฃุณุนุงุฑ
152
+
153
+ 39
154
+ 00:03:33,490 --> 00:03:37,410
155
+ ุงู„ุฃุณุนุงุฑ A ููŠ ุงู„ุนุงู… ุงู„ู…ุงุถูŠ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ุจูŠู†ู…ุง
156
+
157
+ 40
158
+ 00:03:37,410 --> 00:03:39,350
159
+ ุจุงู„ู†ุณุจุฉ ู„ุฃุณุนุงุฑ B ูƒุงู†ุช 100 ุฏูˆู„ุงุฑ
160
+
161
+ 41
162
+ 00:03:42,870 --> 00:03:46,610
163
+ ุฃู†ุง ุฃู‚ุตุฏ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุฃุณุงู…ูŠ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู†
164
+
165
+ 42
166
+ 00:03:46,610 --> 00:03:51,750
167
+ ุงู„ุชุบูŠูŠุฑ ุจูŠู† ุงู„ุงู†ุชุฌุงุฑูŠู† ุงู„ุงุซู†ูŠู† ู„ุฃู†ู‡ู…
168
+
169
+ 43
170
+ 00:03:51,750 --> 00:03:54,750
171
+ ู„ุฏูŠู‡ู… ุงู†ุชุฌุงุฑ ู†ูุณู‡ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู†ู‡ ูˆู‡ู… ุฃูŠุถู‹ุง
172
+
173
+ 44
174
+ 00:03:54,750 --> 00:03:59,610
175
+ ู„ุฏูŠู‡ู… ุทุฑูŠู‚ุงุช ู…ุฎุชู„ูุฉุŒ ู„ุฐู„ูƒ ู„ูƒูŠ ู†ู‚ุงุฑู† ุงู„ุชุบูŠูŠุฑ ุจูŠู†
176
+
177
+ 45
178
+ 00:03:59,610 --> 00:04:04,450
179
+ ุงู„ุงู†ุชุฌุงุฑูŠู† ุงู„ุงุซู†ูŠู† ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ุงู„ู€CV ุงู„ุชูŠ ู‡ูŠ ู…ูŠุฒุฉ
180
+
181
+ 46
182
+ 00:04:04,450 --> 00:04:10,310
183
+ ุงู„ุชุบูŠูŠุฑ ุงู„ุชูŠ ุชู‚ูˆู… ุจู…ูŠุฒุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุทto the mean
184
+
185
+ 47
186
+ 00:04:10,310 --> 00:04:13,350
187
+ variability ู…ุด ุงู„ variability ุจุณ relative to the
188
+
189
+ 48
190
+ 00:04:13,350 --> 00:04:17,250
191
+ mean ูŠุนู†ูŠ ุงู„ุงุฎุชู„ุงู ุญุณุจ ุงู„ mean ู„ูˆ ุทู„ุนู†ุง ุงู„ CV
192
+
193
+ 49
194
+ 00:04:17,250 --> 00:04:22,430
195
+ ุงู„ุฃูˆู„ู‰ CV for stack A again the formula we have to
196
+
197
+ 50
198
+ 00:04:22,430 --> 00:04:27,610
199
+ use is S over X bar multiplied by 100 so now we
200
+
201
+ 51
202
+ 00:04:27,610 --> 00:04:35,910
203
+ have S divided by 50 multiplied by 100 gives 10%
204
+
205
+ 52
206
+ 00:04:37,420 --> 00:04:42,980
207
+ ุงู„ุฃู† 10% ู„ุง ูŠุนู†ูŠ ู„ู†ุง ุฃูŠ ุดูŠุก ู„ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ู‡ุฐุง
208
+
209
+ 53
210
+ 00:04:42,980 --> 00:04:50,160
211
+ ุงู„ู‚ูŠู…ุฉ ู„ู‚ูŠู…ุฉ ุฃุฎุฑู‰ ู„ุนุจุฉ ุฃุฎุฑู‰ ู„ุนุจุฉ B ู„ุฏูŠู†ุง X bar 100
212
+
213
+ 54
214
+ 00:04:50,160 --> 00:04:59,440
215
+ ู…ุน ู†ูุณ ุงู„ุงู†ุชุฌุงุฑ ุงู„ูˆุงุณุน ู„ุฐุง CV ู„ู‡ุฐุง ุงู„ุนู…ูŠู„ S ู†ูุณู‡
216
+
217
+ 55
218
+ 00:04:59,440 --> 00:05:08,340
219
+ ู…ุฎุชู„ู ู…ู† 100 ู…ุฑุฉ 100% ูŠุนู†ูŠ 5%ุงู„ุนุงู…ุฉ ุจูŠ ู„ุฏูŠู‡ุง ุนุงู…ุฉ
220
+
221
+ 56
222
+ 00:05:08,340 --> 00:05:15,580
223
+ 5% ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู† ุนุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
224
+
225
+ 57
226
+ 00:05:15,580 --> 00:05:20,940
227
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
228
+
229
+ 58
230
+ 00:05:20,940 --> 00:05:23,780
231
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
232
+
233
+ 59
234
+ 00:05:23,780 --> 00:05:23,820
235
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
236
+
237
+ 60
238
+ 00:05:23,820 --> 00:05:23,820
239
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
240
+
241
+ 61
242
+ 00:05:23,820 --> 00:05:25,040
243
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
244
+
245
+ 62
246
+ 00:05:25,040 --> 00:05:27,300
247
+ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ ูƒุงู…ุฉ
248
+
249
+ 63
250
+ 00:05:27,300 --> 00:05:34,880
251
+ ูƒุงู…ุฉ ูƒุงู…ุฉ
252
+
253
+ 64
254
+ 00:05:34,880 --> 00:05:42,580
255
+ ูƒุงู…5 ุฃู‚ู„ ู…ู† 10ุŒ 5% ุฃู‚ู„ ู…ู† 10%ุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู† ูƒู„ุง
256
+
257
+ 65
258
+ 00:05:42,580 --> 00:05:49,240
259
+ ุงู„ูˆุงุญุฏูŠู† ู„ุฏูŠู‡ุง ู†ูุณ ู…ู‚ุงุฑู†ุฉ ุฃุณุงุณูŠุฉ ุงู„ูˆู…ู†ุงูุณูŠุฉุŒ ูˆู„ูƒู†
260
+
261
+ 66
262
+ 00:05:49,240 --> 00:05:52,420
263
+ ุงู„ูˆุงุญุฏ B ุฃู‚ู„ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
264
+
265
+ 67
266
+ 00:05:52,420 --> 00:05:58,500
267
+ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
268
+
269
+ 68
270
+ 00:05:58,500 --> 00:06:02,240
271
+ ู…ู‚ุงุฑู†ุฉ
272
+
273
+ 69
274
+ 00:06:03,810 --> 00:06:08,990
275
+ ูŠุนู†ูŠ ูˆุงุถุญ ุฃู† ุงู„ stack B ุงู„ุชุดุชุชุช ุชุจู‚ู‰ ุฃู‚ู„ now if
276
+
277
+ 70
278
+ 00:06:08,990 --> 00:06:12,690
279
+ stack B is less variable to its mean than stack A
280
+
281
+ 71
282
+ 00:06:12,690 --> 00:06:17,750
283
+ which one is more stableุŸ ู…ูŠู† ุจูŠูƒูˆู† more stableุŸ
284
+
285
+ 72
286
+ 00:06:17,750 --> 00:06:23,330
287
+ ุฅูŠุด ู…ุนู†ู‰ stableุŸ ูŠุนู†ูŠ ู…ุณุชู‚ุฑ
288
+
289
+ 73
290
+ 00:06:23,330 --> 00:06:27,270
291
+ which one is more stableุŸ if you want to recommend
292
+
293
+ 74
294
+ 00:06:27,270 --> 00:06:35,290
295
+ to buy stack A or BุŸุงู„ .. ุงู„ more stable is better
296
+
297
+ 75
298
+ 00:06:35,290 --> 00:06:40,330
299
+ ุทุจูŠุนูŠ ูˆู„ุง .. ู„ูˆ ูŠูƒูˆู† ุงู„ุดุบู„ more stable ู…ุน ูƒุฏู‡ ุงู„
300
+
301
+ 76
302
+ 00:06:40,330 --> 00:06:47,490
303
+ risk ู…ุงู„ู‡ ุจู‚ู„ ู…ุธุจูˆุท ููˆุงุถุญ ุฃู†ู‡ stock B more stable
304
+
305
+ 77
306
+ 00:06:47,490 --> 00:06:50,610
307
+ than stock A it has less variability relative to
308
+
309
+ 78
310
+ 00:06:50,610 --> 00:06:53,110
311
+ its mean ู„ู…ุง ุงู„ุดูŠุก ุงู„ู„ูŠ ู‡ุชูƒูˆู† ููŠู‡ุง ุชุดุชุช ูƒุจูŠุฑ
312
+
313
+ 79
314
+ 00:06:53,110 --> 00:06:55,690
315
+ variability ูƒุจูŠุฑุฉ ุงู„ูˆุงุญุฏ ุจูŠุจุนุฏ ุนู†ู‡ุงู„ุฃู† ููŠู‡ุง
316
+
317
+ 80
318
+ 00:06:55,690 --> 00:07:00,050
319
+ ุงู„ู…ุฎุงุทุฑุฉ ู…ุงู„ู‡ุง ุจุงู„ุฒูŠ ุฏุฑุณ ุงู„ูƒูˆู† ุนุงู„ูŠ anyways we
320
+
321
+ 81
322
+ 00:07:00,050 --> 00:07:03,370
323
+ have to compute the CV for stack A and stack B
324
+
325
+ 82
326
+ 00:07:03,370 --> 00:07:06,690
327
+ just compare these two values now this is five it
328
+
329
+ 83
330
+ 00:07:06,690 --> 00:07:11,610
331
+ means stack
332
+
333
+ 84
334
+ 00:07:11,610 --> 00:07:18,010
335
+ A is more variable to its mean than stack A than
336
+
337
+ 85
338
+ 00:07:18,010 --> 00:07:23,410
339
+ stack B ู‡ุฐุง ุงู„ุชูŠู† ูˆ ู‡ุฐุง ุงู„ุฎู…ุณ ูˆ ู‡ุฐุง ุฃูƒุจุฑ look at
340
+
341
+ 86
342
+ 00:07:23,410 --> 00:07:31,040
343
+ the next slideู„ุฏูŠู†ุง ู…ุตุฏุฑ ูˆุงุญุฏ ุฃุฎุฑ ูŠุณู…ู‰ ู…ุตุฏุฑ C ู…ุตุฏุฑ
344
+
345
+ 87
346
+ 00:07:31,040 --> 00:07:36,400
347
+ C ู„ุฏูŠู‡
348
+
349
+ 88
350
+ 00:07:36,400 --> 00:07:43,020
351
+ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ุณู†ุฉ ู…ู† 8 ุฏูˆู„ุงุฑ ูˆู…ุตุฏุฑ
352
+
353
+ 89
354
+ 00:07:43,020 --> 00:07:44,560
355
+ ู…ุตุฏุฑ ุงู„ุงู†ุชุฌุงุฑ 2 ุฏูˆู„ุงุฑ
356
+
357
+ 90
358
+ 00:07:48,140 --> 00:07:50,960
359
+ ุนู„ู‰ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard deviation ู‡ูˆ 2 ู‡ุฐุง
360
+
361
+ 91
362
+ 00:07:50,960 --> 00:07:54,680
363
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุงุตู„ุง ุตุบูŠุฑุฉ ุงูƒุชุฑ ู…ู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard
364
+
365
+ 92
366
+ 00:07:54,680 --> 00:07:56,860
367
+ deviation ู„ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
368
+
369
+ 93
370
+ 00:07:56,860 --> 00:07:59,900
371
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
372
+
373
+ 94
374
+ 00:07:59,900 --> 00:08:00,380
375
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
376
+
377
+ 95
378
+ 00:08:00,380 --> 00:08:00,800
379
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
380
+
381
+ 96
382
+ 00:08:00,800 --> 00:08:00,900
383
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
384
+
385
+ 97
386
+ 00:08:00,900 --> 00:08:03,880
387
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ
388
+
389
+ 98
390
+ 00:08:03,880 --> 00:08:17,100
391
+ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู† ูƒุชุฑ ู…ู†
392
+
393
+ 99
394
+ 00:08:17,930 --> 00:08:25,010
395
+ ู‡ุฐุง ูŠุนุทูŠ 25% ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ุฃู†ู‡ ูŠุญุชูˆูŠ ุนู„ู‰ ุงุณุชุฎุฏุงู…
396
+
397
+ 100
398
+ 00:08:25,010 --> 00:08:26,990
399
+ ุงุณุชุฎุฏุงู… ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู
400
+
401
+ 101
402
+ 00:08:26,990 --> 00:08:27,250
403
+ ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู
404
+
405
+ 102
406
+ 00:08:27,250 --> 00:08:28,390
407
+ ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดุงู ุงูƒุชุดู
408
+
409
+ 103
410
+ 00:08:28,390 --> 00:08:29,190
411
+ ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู
412
+
413
+ 104
414
+ 00:08:29,190 --> 00:08:35,310
415
+ ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู
416
+
417
+ 105
418
+ 00:08:35,310 --> 00:08:39,550
419
+ ุงูƒุชุดู ุงูƒุชุดู ุงูƒุชุดู ุง
420
+
421
+ 106
422
+ 00:08:44,590 --> 00:08:48,690
423
+ ู„ุชู‚ุงุฑู† ุชุบูŠูŠุฑ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ุญุชู‰ ู„ูˆ ูƒุงู†ุช ุชุญุชูˆูŠ
424
+
425
+ 107
426
+ 00:08:48,690 --> 00:08:50,730
427
+ ุนู„ู‰ ู†ูุณ ุงู„ุฃุฌู‡ุฒุฉ ู‡ู†ุง ู†ุญู† ู†ุญุชูˆูŠ ุนู„ู‰ ู†ูุณ ุงู„ุฃุฌู‡ุฒุฉ
428
+
429
+ 108
430
+ 00:08:50,730 --> 00:08:58,010
431
+ ุฏูˆู„ุงุฑ ูุงู„ู€ Stoxy ู„ุญุธุฉ ุฃู† ุชุบูŠูŠุฑู‡ 25% ูุงู„ู€ Stoxy
432
+
433
+ 109
434
+ 00:08:58,010 --> 00:09:04,610
435
+ ู„ุฏูŠู‡ ุชุบูŠูŠุฑ ุนุงุฏู„ ุฃู‚ู„ ุจูƒุซูŠุฑ ุฏูˆู„ุงุฑ
436
+
437
+ 110
438
+ 00:09:04,610 --> 00:09:07,770
439
+ ูˆ 2 ุฏูˆู„ุงุฑ ูˆู„ูƒู† ุชุบูŠูŠุฑู‡ ูƒุซูŠุฑ ุจูƒุซูŠุฑ
440
+
441
+ 111
442
+ 00:09:10,440 --> 00:09:12,600
443
+ ุฒูŠ ู…ุง ุฃู‚ูˆู„ุŒ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ุนุชู…ุฏ ูู‚ุท ุนู„ู‰ ุงู„ู€
444
+
445
+ 112
446
+ 00:09:12,600 --> 00:09:16,300
447
+ Standard Deviation ู„ูƒูŠ ู†ู‚ุงุฑู† ุงู„ุชุบูŠูŠุฑ ุจูŠู† ุงู„ู€
448
+
449
+ 113
450
+ 00:09:16,300 --> 00:09:19,880
451
+ different datasets ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ุงู„ู€ coefficient of
452
+
453
+ 114
454
+ 00:09:19,880 --> 00:09:23,400
455
+ variation ุฅุฐุง ุงู„ู…ู„ุฎุตุŒ ู„ูˆ ุฃุฑุฏุช ุฃู‚ุงุฑู† ุชุดุชุช ู…ุฌู…ูˆุนุชูŠู†
456
+
457
+ 115
458
+ 00:09:23,400 --> 00:09:27,280
459
+ ุฃูˆ ุฃูƒุชุฑุŒ ู„ุง ูŠู…ูƒู†ู†ูŠ ุฃู† ุฃุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ S ู„ูˆุญุฏู‡ ูˆู„ุง
460
+
461
+ 116
462
+ 00:09:27,280 --> 00:09:30,320
463
+ ุนู„ู‰ ุงู„ู€ X bar ู„ูˆุญุฏู‡ุŒ ุจุงุนุชู…ุฏ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ู€
464
+
465
+ 117
466
+ 00:09:30,320 --> 00:09:32,460
467
+ coefficient of variationุŒ ู„ุฃู†ู‡ ู„ูŠุณ ูŠุนู…ู„ ุงู„ู€
468
+
469
+ 118
470
+ 00:09:32,460 --> 00:09:35,880
471
+ measures ุงู„ู€ variation ุฃูˆ ุงู„ู€ variability relative
472
+
473
+ 119
474
+ 00:09:35,880 --> 00:09:42,610
475
+ ู„ู„ู…ูŠู† ุชุจุนู‡ุŒ ูˆุงุถุญุŸูŠุนู†ูŠ ู„ูˆ ุญูƒูŠุช ุงู„ score ุณุจุนุชูƒูˆุง
476
+
477
+ 120
478
+ 00:09:42,610 --> 00:09:50,650
479
+ ุงู„ู‡ุง mean equal 85 ูˆ ุงู„ standard deviation equal 5
480
+
481
+ 121
482
+ 00:09:50,650 --> 00:09:54,430
483
+ ุงุฏูˆู„
484
+
485
+ 122
486
+ 00:09:54,430 --> 00:09:58,390
487
+ for female students for male student suppose the
488
+
489
+ 123
490
+ 00:09:58,390 --> 00:10:06,690
491
+ mean was 75 and standard deviation 10 ุงู„ู„ุญุธุฉ
492
+
493
+ 124
494
+ 00:10:06,690 --> 00:10:07,650
495
+ ุฏูŠ ุฎู„ูŠู‡ุง 5
496
+
497
+ 125
498
+ 00:10:10,430 --> 00:10:14,270
499
+ both have the same mean but if you compute the CV
500
+
501
+ 126
502
+ 00:10:14,270 --> 00:10:18,930
503
+ for female S
504
+
505
+ 127
506
+ 00:10:18,930 --> 00:10:22,890
507
+ over eighty
508
+
509
+ 128
510
+ 00:10:22,890 --> 00:10:26,630
511
+ five ู„ูˆ
512
+
513
+ 129
514
+ 00:10:26,630 --> 00:10:33,230
515
+ ุถุฑุจุช ุฎู…ุณู…ูŠุฉ ุนู„ู‰ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠุฉ ู†ุนู… ุฎู…ุณุฉ
516
+
517
+ 130
518
+ 00:10:33,230 --> 00:10:37,690
519
+ ุชู…ุงู†ูŠุฉ
520
+
521
+ 131
522
+ 00:10:37,690 --> 00:10:38,690
523
+ ู…ู† ุงูˆ ุชู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ
524
+
525
+ 132
526
+ 00:10:44,020 --> 00:10:54,660
527
+ ุฎู„ูŠู†ูŠ ุฃุญุณุจู‡ุง ุฎู…ุณุฉ
528
+
529
+ 133
530
+ 00:10:54,660 --> 00:10:58,620
531
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
532
+
533
+ 134
534
+ 00:10:58,620 --> 00:10:58,620
535
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
536
+
537
+ 135
538
+ 00:10:58,620 --> 00:10:58,700
539
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
540
+
541
+ 136
542
+ 00:10:58,700 --> 00:11:01,860
543
+ point ุงุช ุงุช ุฎู…ุณุฉ
544
+
545
+ 137
546
+ 00:11:01,860 --> 00:11:03,180
547
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
548
+
549
+ 138
550
+ 00:11:03,180 --> 00:11:04,660
551
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
552
+
553
+ 139
554
+ 00:11:04,660 --> 00:11:05,040
555
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
556
+
557
+ 140
558
+ 00:11:05,040 --> 00:11:05,040
559
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุงุช ุฎู…ุณุฉ
560
+
561
+ 141
562
+ 00:11:05,040 --> 00:11:07,640
563
+ point ุงุช ุงุช ุฎู…ุณุฉ point ุงุช ุฎู…
564
+
565
+ 142
566
+ 00:11:13,870 --> 00:11:19,110
567
+ 500 over 75 6
568
+
569
+ 143
570
+ 00:11:19,110 --> 00:11:25,730
571
+ .67 ูˆุงุถุญ
572
+
573
+ 144
574
+ 00:11:25,730 --> 00:11:35,970
575
+ ู‡ู†ุง ูู‰ ุงู„ู…ุฏุฑุณุงุช ุงู„ุงู†ุณุงู†ูŠุฉ ุงู‚ู„ ู…ู†
576
+
577
+ 145
578
+ 00:11:35,970 --> 00:11:41,090
579
+ 5.88 ุจุงู„ุฑุบู… ู…ู† ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ู… ุนุงูŠุด ู†ูุณ ุงู„
580
+
581
+ 146
582
+ 00:11:41,090 --> 00:11:49,510
583
+ standard deviationุฃูŠ ุณุคุงู„ ุนู† ู…ู‚ุงูˆู…ุฉ ุงู„ุชุบูŠูŠุฑุŸ ุญุณู†ุงุŒ
584
+
585
+ 147
586
+ 00:11:49,510 --> 00:11:55,530
587
+ ุฏุนู†ุง ู†ุชุญุฑูƒ ุฅู„ู‰ ุงู„ุตูุญุฉ ุงู„ุชุงู„ูŠุฉ ุฅุฐุง
588
+
589
+ 148
590
+ 00:11:55,530 --> 00:11:59,150
591
+ ุชุชุฐูƒุฑูŠู† ุนู†ุฏู…ุง ุชุญุฏุซู†ุง ุนู† ุงู„ู…ู‚ุงูˆู…ุฉ ูˆุงู„ู…ู‚ุงูˆู…ุฉุŒ ุชุฐูƒุฑู†ุง
592
+
593
+ 149
594
+ 00:11:59,150 --> 00:12:03,770
595
+ ุฃู† ุงู„ู…ู‚ุงูˆู…ุฉ ู„ูŠุณุช ู…ุดุชุฑูƒุฉ ุจู‚ูŠู…ุงุช ุฃุนุธู… ุฃูˆ ุฃุณู„ุญุฉ ุฎุงุฑู‚ุฉ
596
+
597
+ 150
598
+ 00:12:05,520 --> 00:12:08,340
599
+ ุงู„ุณุคุงู„ ุงู„ุขู† ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ู‡ุฐุง ุงู„ู†ู‚ุทุฉ
600
+
601
+ 151
602
+ 00:12:08,340 --> 00:12:18,380
603
+ ุชุนุชุจุฑ ุฎุงุทุฆุงู‹ ุฃูˆ ุฎุงุทุฆุงู‹ ุฃูˆ ุญุชู‰ ุฎุงุทุฆุงู‹ ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง
604
+
605
+ 152
606
+ 00:12:18,380 --> 00:12:21,800
607
+ ู…ุฌู„ุฉ ุฎุงุทุฆุฉุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู…ุฌู„ุฉ
608
+
609
+ 153
610
+ 00:12:21,800 --> 00:12:25,020
611
+ ุชุนุชุจุฑ ุฎุงุทุฆุงู‹ ุฃูˆ ุฎุงุทุฆุงู‹ุŸ ู…ู…ูƒู† ุฃู‚ูˆู„ ุฅู† ู‡ุฐู‡ ุงู„ู…ุฌู„ุฉ
612
+
613
+ 154
614
+ 00:12:25,020 --> 00:12:30,560
615
+ ู…ุดุชุจู‡ุฉ ุชูƒูˆู† ุฎุงุทุฆุงู‹ ุฃูˆ ุฎุงุทุฆุงู‹ ู‡ู†ุงูƒ ุทุฑุญูŠู† ู…ุฎุชู„ูุฉ
616
+
617
+ 155
618
+ 00:12:30,560 --> 00:12:35,670
619
+ ู„ุชูˆุตูŠู„ ุฎุทูˆุงุช ุฎุงุทุฆ ุฃูˆ ุฎุงุทุฆู‡ุฐุง ุงู„ููŠุฏูŠูˆ ูŠุชูƒู„ู… ุนู†
620
+
621
+ 156
622
+ 00:12:35,670 --> 00:12:42,510
623
+ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุทุฑู‚ ูŠุณู…ู‰ Z-score ู„ุฐู„ูƒ ุฏุนู†ุง ู†ุจุฏุฃ
624
+
625
+ 157
626
+ 00:12:42,510 --> 00:12:58,290
627
+ ุจุงู„ูˆุตูˆู„ ุฅู„ู‰ ุฃุนู„ู‰ ุฃุนู„ู‰ ุฃุนู„ู‰ ุจุงุณุชุฎุฏุงู… Z-score ููˆุตูˆู„ุฉ
628
+
629
+ 158
630
+ 00:12:58,290 --> 00:13:02,530
631
+ ุฃุนู„ู‰ ุฃุนู„ู‰
632
+
633
+ 159
634
+ 00:13:12,240 --> 00:13:21,280
635
+ ุนู† ุทุฑูŠู‚ ุงุณุชุฎุฏุงู… ุงู„ู€ z-score ุฏุนูˆู†ุง
636
+
637
+ 160
638
+ 00:13:21,280 --> 00:13:27,520
639
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ z-score ู…ุงุฐุง ูŠุนู†ูŠ z-scoreุŸ ูŠุฌุจ
640
+
641
+ 161
642
+ 00:13:27,520 --> 00:13:32,060
643
+ ุฃู† ู†ุนุฑู ูƒู„ุง ุงู„ุงุฎุชุตุงุฑ ..ุฃุนู†ูŠ ุงู„ุชุฎุตูŠุต ู„ู„ z-score ุซู…
644
+
645
+ 162
646
+ 00:13:32,060 --> 00:13:32,480
647
+ ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุŸ
648
+
649
+ 163
650
+ 00:13:36,220 --> 00:13:41,280
651
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุงู† ุชู‚ูˆู„ ุงู†ูƒ ุชู‚ูˆู… ุจุชุฌุฑุจุฉ ุงู„ู€ z-score ู…ู†
652
+
653
+ 164
654
+ 00:13:41,280 --> 00:13:44,820
655
+ ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ู†ุญุชุงุฌ
656
+
657
+ 165
658
+ 00:13:44,820 --> 00:13:48,400
659
+ ุฃู† ู†ุชู‚ู„ ุงู„ู…ูŠุงู† ูˆ ู†ู‚ู„ ู…ู† ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
660
+
661
+ 166
662
+ 00:13:48,400 --> 00:13:48,540
663
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
664
+
665
+ 167
666
+ 00:13:48,540 --> 00:13:55,580
667
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
668
+
669
+ 168
670
+ 00:13:55,580 --> 00:14:00,780
671
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
672
+
673
+ 169
674
+ 00:14:00,780 --> 00:14:02,880
675
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
676
+
677
+ 170
678
+ 00:14:02,880 --> 00:14:02,880
679
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
680
+
681
+ 171
682
+ 00:14:02,880 --> 00:14:02,880
683
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
684
+
685
+ 172
686
+ 00:14:02,880 --> 00:14:04,560
687
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจุฒูŠ score
688
+
689
+ 173
690
+ 00:14:04,560 --> 00:14:11,280
691
+ it says it equals so z score of a data value for
692
+
693
+ 174
694
+ 00:14:11,280 --> 00:14:15,980
695
+ score for example suppose my score is x suppose i
696
+
697
+ 175
698
+ 00:14:15,980 --> 00:14:21,540
699
+ got x in subject a now the question is how can we
700
+
701
+ 176
702
+ 00:14:21,540 --> 00:14:29,220
703
+ compute the z score it says subtract the mean ุฃูŠ
704
+
705
+ 177
706
+ 00:14:29,220 --> 00:14:42,170
707
+ ู…ุนู†ุงู‡ subtract ู…ุธุจูˆุท ุงุทุฑุญ ุงู„ meanู†ู‚ุต ุงู„ู€mean ู†ู‚ุต
708
+
709
+ 178
710
+ 00:14:42,170 --> 00:14:46,670
711
+ ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
712
+
713
+ 179
714
+ 00:14:46,670 --> 00:14:47,270
715
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
716
+
717
+ 180
718
+ 00:14:47,270 --> 00:14:47,270
719
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
720
+
721
+ 181
722
+ 00:14:47,270 --> 00:14:47,270
723
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
724
+
725
+ 182
726
+ 00:14:47,270 --> 00:14:47,390
727
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
728
+
729
+ 183
730
+ 00:14:47,390 --> 00:14:48,410
731
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
732
+
733
+ 184
734
+ 00:14:48,410 --> 00:14:48,410
735
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
736
+
737
+ 185
738
+ 00:14:48,410 --> 00:14:53,410
739
+ ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean ู†ู‚ุต ุงู„ู€mean
740
+
741
+ 186
742
+ 00:14:53,410 --> 00:15:01,830
743
+ ู†ู‚ุต ุงู„ู€mean
744
+
745
+ 187
746
+ 00:15:02,320 --> 00:15:06,140
747
+ ุชุนุฑูŠูู‡ number of standard deviations a data value
748
+
749
+ 188
750
+ 00:15:06,140 --> 00:15:09,800
751
+ is from the mean ูŠุนู†ูŠ ุฅูŠุด ุนุฏุฏ ุงู„ุฅู†ุญุฑุงูุงุช ุงู„ู…ูŠุงุฑูŠุฉ
752
+
753
+ 189
754
+ 00:15:09,800 --> 00:15:14,200
755
+ ุงู„ู†ู‚ุทุฉ ุชุจุนุชูƒ ุฃูˆ ุฏุฑุฌุชูƒ ุจุชุจุนุฏ ุนู† ุงู„ู…ุชูˆุณุท for example
756
+
757
+ 190
758
+ 00:15:14,200 --> 00:15:23,440
759
+ suppose my score was 85 again 85 so you got in
760
+
761
+ 191
762
+ 00:15:23,440 --> 00:15:29,160
763
+ statistics or in math or accounting 85 and the
764
+
765
+ 192
766
+ 00:15:29,160 --> 00:15:41,140
767
+ average of the entire classู…ุซู„ู‹ุง ู‡ูˆ 80 ูˆู…ู‚ุงุฑู†ุฉ
768
+
769
+ 193
770
+ 00:15:41,140 --> 00:15:49,200
771
+ ุงู„ูˆุซูŠู‚ุฉ ุงู„ุฃุณุงุณูŠุฉ ูƒุงู†ุช 5 ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู…ุงุฐุง ูŠุนู†ูŠ
772
+
773
+ 194
774
+ 00:15:49,200 --> 00:15:55,640
775
+ ุงู„ู€ z-scoreุŸ ุฏุนู†ุง ู†ู‚ูˆู… ุจู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุงู„ู…ูู‡ูˆู…
776
+
777
+ 195
778
+ 00:15:55,640 --> 00:15:59,540
779
+ ู‡ูˆ ุฅุถุงูุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุซู… ุฃู‚ูˆู… ุจุชู‚ุณูŠู…ู‡
780
+
781
+ 196
782
+ 00:15:59,540 --> 00:16:08,270
783
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุงุณูŠุฉู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง 85 ู…ู†ุงุณุจุฉ 80 ุนู„ู‰
784
+
785
+ 197
786
+ 00:16:08,270 --> 00:16:17,530
787
+ 5 ู‡ุฐุง ูŠุนุทูŠ 1 ุงู„ุขู† ุฏุนูˆู†ุง ู†ุฑู‰ ู…ุนู†ู‰ 1 ุงู†ุธุฑ
788
+
789
+ 198
790
+ 00:16:17,530 --> 00:16:21,430
791
+ ุฅู„ู‰ ุงู„ูุฑู‚ ุจูŠู† ู…ู‚ุงุฑู†ุชูƒ ูˆู…ู‚ุงุฑู†ุชูƒ ู…ุงู‡ูŠ ุงู„ูุฑู‚ ุจูŠู†
792
+
793
+ 199
794
+ 00:16:21,430 --> 00:16:27,660
795
+ ู…ู‚ุงุฑู†ุชูŠ ูˆู…ู‚ุงุฑู†ุชูƒุŸุฏุฑุฌุชูŠ 85ุŸ ู…ุชูˆุณุท ุงู„ุทู„ุงุจ 80 ุฅุฐุง
796
+
797
+ 200
798
+ 00:16:27,660 --> 00:16:32,200
799
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ ูˆ ุจูŠู† ุงู„ู…ุชูˆุณุท ุฎู…ุณุฉ ุฅุฐุง ุฏุฑุฌุชูŠ ุนู† ุงู„ุทู„ุงุจ
800
+
801
+ 201
802
+ 00:16:32,200 --> 00:16:35,900
803
+ ููŠ ุงู„ู…ุชูˆุณุท ููŠ ุงู„ุฎู…ุณ ุฏุฑุฌุงุช ุฃุนู„ู‰ ูˆู„ุง ุฃู‚ู„ุŸ ุฃุนู„ู‰ ุฃุนู„ู‰
804
+
805
+ 202
806
+ 00:16:35,900 --> 00:16:41,860
807
+ ุทูŠุจ ุงู„ุฎู…ุณุฉ ุฏูŠ ุฅูŠุด ุนู„ุงู‚ุฉ ุช ุจุงู„ SุŸ ุจุชุณูˆูŠู‡ุง ู…ุนู†ุงู‡ ูƒุฏู‡
808
+
809
+ 203
810
+ 00:16:41,860 --> 00:16:46,580
811
+ my score is one standard deviation above ูˆู„ุง below
812
+
813
+ 204
814
+ 00:16:46,580 --> 00:16:54,330
815
+ the meanุŸ above .. above ุฅุฐุง a score of 85ุงู„ุฃูˆู„ ู‡ูˆ
816
+
817
+ 205
818
+ 00:16:54,330 --> 00:17:00,670
819
+ ูˆุงุญุฏ ู…ู† ุงู„ุงุถุงูุงุช ุงู„ุนุงู…ุฉ ููˆู‚
820
+
821
+ 206
822
+ 00:17:00,670 --> 00:17:04,450
823
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
824
+
825
+ 207
826
+ 00:17:04,450 --> 00:17:06,390
827
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
828
+
829
+ 208
830
+ 00:17:06,390 --> 00:17:07,170
831
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
832
+
833
+ 209
834
+ 00:17:07,170 --> 00:17:07,250
835
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
836
+
837
+ 210
838
+ 00:17:07,250 --> 00:17:07,470
839
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
840
+
841
+ 211
842
+ 00:17:07,470 --> 00:17:08,430
843
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ
844
+
845
+ 212
846
+ 00:17:08,430 --> 00:17:21,870
847
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุตุท
848
+
849
+ 213
850
+ 00:17:23,940 --> 00:17:27,020
851
+ ุงู„ุงู† ู…ุฑุฉ ุฃุฎุฑู‰ ุงู„ู€ z-score ู‡ูŠ ู†ูุณู‡ุง x-x bar over s
852
+
853
+ 214
854
+ 00:17:27,020 --> 00:17:37,280
855
+ 90 minus 85 ู†ุญู† ู„ุฏูŠู†ุง .. ุฃู†ุง ุฃุณู ู‡ุฐุง ู‡ูˆ 80 90 plus
856
+
857
+ 215
858
+ 00:17:37,280 --> 00:17:47,520
859
+ 80 over 5 10 over 5 ู‡ูˆ 2 ุงู„ุฃู† ู…ุงู‡ูˆ 2 ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ..
860
+
861
+ 216
862
+ 00:17:47,520 --> 00:17:56,510
863
+ ู…ุงู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ู‚ูŠู…ุชูƒ 90 ูˆ ุนู…ุฑูƒ 80ุŸ10 ู…ุงุฐุง ุนู†
864
+
865
+ 217
866
+ 00:17:56,510 --> 00:18:02,750
867
+ ุงู„ุนู„ุงู‚ุงุช ุจูŠู† 10 ูˆ 5ุŸ 10 ุถุนู ุงู„ุฎู…ุณุฉุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุนู†ุงู‡
868
+
869
+ 218
870
+ 00:18:02,750 --> 00:18:06,770
871
+ ูƒุฏู‡ุŒ ุงุฌุงุฑุฉ
872
+
873
+ 219
874
+ 00:18:06,770 --> 00:18:12,370
875
+ 90 ู‡ูŠ ุงุชุฌุงุฑุฉ
876
+
877
+ 220
878
+ 00:18:12,370 --> 00:18:16,710
879
+ ุงุชุฌุงุฑุฉ ุงุชุฌุงุฑุฉ
880
+
881
+ 221
882
+ 00:18:16,710 --> 00:18:19,510
883
+ ุงุชุฌุงุฑุฉ ุงุชุฌุงุฑุฉ
884
+
885
+ 222
886
+ 00:18:22,970 --> 00:18:27,750
887
+ ู…ุนู†ู‰ ุฏุฑุฌุฉ ุจุชุทู„ุน ุงู„ู…ุชูˆุณุท ุจูŠู† ุญุฑููŠู† ู…ุนูŠุฑูŠูŠู† ุทุจ ู„ูˆ
888
+
889
+ 223
890
+ 00:18:27,750 --> 00:18:37,150
891
+ ูˆุงุญุฏ ุฌุงุจ 60 60 ู„ูˆ ุฌูŠุจู†ุง 60 ููŠ ุงู„ score ุงูŠุด ุฒูŠ
892
+
893
+ 224
894
+ 00:18:37,150 --> 00:18:47,670
895
+ score ุจูŠุณุงูˆูŠ 60 minus 8 over 5 minus
896
+
897
+ 225
898
+ 00:18:47,670 --> 00:18:54,050
899
+ 20 over 5 minus 4ุงู„ุงู† ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู‚ูŠู… ู…ุฑุฉ
900
+
901
+ 226
902
+ 00:18:54,050 --> 00:19:02,190
903
+ ุฃุฎุฑู‰ุŸ ูŠุนู†ูŠ ู‚ูŠู…ุฉ 60 ู‡ูŠ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
904
+
905
+ 227
906
+ 00:19:02,190 --> 00:19:07,050
907
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
908
+
909
+ 228
910
+ 00:19:07,050 --> 00:19:09,230
911
+ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ
912
+
913
+ 229
914
+ 00:19:09,230 --> 00:19:11,190
915
+ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
916
+
917
+ 230
918
+ 00:19:11,190 --> 00:19:13,810
919
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
920
+
921
+ 231
922
+ 00:19:13,810 --> 00:19:15,510
923
+ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ
924
+
925
+ 232
926
+ 00:19:15,510 --> 00:19:15,510
927
+ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
928
+
929
+ 233
930
+ 00:19:15,510 --> 00:19:19,490
931
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
932
+
933
+ 234
934
+ 00:19:20,930 --> 00:19:24,710
935
+ ูˆุงุญุฏ ุฌุงุจ ุณุชูŠู† ุงู„ู…ุชูˆุณุท ุชู…ุงู†ูŠู† ู…ุงู‡ูŠ ุงู„ูุฑู‚ ุนู„ู‰
936
+
937
+ 235
938
+ 00:19:24,710 --> 00:19:29,830
939
+ ุงู„ู…ุชูˆุณุทุŸ ุนุดุฑูŠู† ู…ุงู‡ูŠ ุนู„ุงู‚ุฉ ุงู„ุนุดุฑูŠู† ุจุงู„ุฎู…ุณุฉุŸ ุฃุฑุจุน
940
+
941
+ 236
942
+ 00:19:29,830 --> 00:19:33,710
943
+ ุฃุถุนุงู ู…ุน ูƒุฏู‡ ุฏุฑุฌุชู‡ ุฃุฑุจุน ุฃุถุนุงู ู…ุงุงู„ู‡ุง below the
944
+
945
+ 237
946
+ 00:19:33,710 --> 00:19:40,050
947
+ mean ู‡ุงู„ุทุฑูŠู‚ุฉ ุชุญุณุจ z score now suppose one more
948
+
949
+ 238
950
+ 00:19:40,050 --> 00:19:45,790
951
+ example my score is eighty I
952
+
953
+ 239
954
+ 00:19:45,790 --> 00:19:49,810
955
+ got eighty in subject A for example now what's the
956
+
957
+ 240
958
+ 00:19:49,810 --> 00:19:56,800
959
+ value of z score?ู„ูˆ ูƒุงู†ุช 80 ุงู„ู€ mean 80 ูˆุฏุฑุฌุชูŠ 80
960
+
961
+ 241
962
+ 00:19:56,800 --> 00:20:02,740
963
+ ูŠุนู†ูŠ ุฃู†ุง ุฒูŠ ุงู„ู…ุชูˆุณุท ู…ุน ุงู„ Z-score ู…ุด ู‡ูŠุณุงูˆูŠ 80 ู†ู‚ุต
964
+
965
+ 242
966
+ 00:20:02,740 --> 00:20:10,320
967
+ 8 ุนู„ู‰ 5 ุณูˆู‰ 0 ู…ุนู†ุงู‡ ุฅูŠุด my score is
968
+
969
+ 243
970
+ 00:20:10,320 --> 00:20:12,400
971
+ 0 above the average or below the average it means
972
+
973
+ 244
974
+ 00:20:12,400 --> 00:20:19,600
975
+ my score equals the mean ุฒูŠ ู…ุง ูƒุฏู‡ my score equals
976
+
977
+ 245
978
+ 00:20:26,980 --> 00:20:33,120
979
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ูŠ ู„ุฏูŠู‡ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ุฎุทูˆุงุช ุฃุฎุฑู‰
980
+
981
+ 246
982
+ 00:20:33,120 --> 00:20:37,320
983
+ ุฃุฎุฑู‰
984
+
985
+ 247
986
+ 00:20:37,320 --> 00:20:38,460
987
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
988
+
989
+ 248
990
+ 00:20:38,460 --> 00:20:38,580
991
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
992
+
993
+ 249
994
+ 00:20:38,580 --> 00:20:40,080
995
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
996
+
997
+ 250
998
+ 00:20:40,080 --> 00:20:40,840
999
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
1000
+
1001
+ 251
1002
+ 00:20:40,840 --> 00:20:40,840
1003
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
1004
+
1005
+ 252
1006
+ 00:20:40,840 --> 00:20:40,840
1007
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
1008
+
1009
+ 253
1010
+ 00:20:40,840 --> 00:20:40,860
1011
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
1012
+
1013
+ 254
1014
+ 00:20:40,860 --> 00:20:40,880
1015
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
1016
+
1017
+ 255
1018
+ 00:20:40,880 --> 00:20:45,340
1019
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
1020
+
1021
+ 256
1022
+ 00:20:45,340 --> 00:20:47,100
1023
+ ู…ู† ุงู„ุฎ
1024
+
1025
+ 257
1026
+ 00:20:58,500 --> 00:21:03,600
1027
+ ู‡ุฐุง ู‚ุงู†ูˆู† ุงู„ุชู„ุงุชุฉ is as rule of thumb ู‚ุงุนุฏุฉ ุนุงู…ุฉ
1028
+
1029
+ 258
1030
+ 00:21:03,600 --> 00:21:09,240
1031
+ ุฅุฐุง z score less than negative three ูŠุนู†ูŠ
1032
+
1033
+ 259
1034
+ 00:21:09,240 --> 00:21:13,520
1035
+ ููŠ ู‡ุฐุง ุงู„ู…ู†ุทู‚ุฉ or greater than three is considered
1036
+
1037
+ 260
1038
+ 00:21:13,520 --> 00:21:17,720
1039
+ to be extreme value now go back to the previous
1040
+
1041
+ 261
1042
+ 00:21:17,720 --> 00:21:22,240
1043
+ examples do you think z score of one is considered
1044
+
1045
+ 262
1046
+ 00:21:22,240 --> 00:21:27,880
1047
+ to be outlierุŸ ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุจุงู„ุชุงู„ูŠ ู‡ูŠ ู„ูŠุณุช
1048
+
1049
+ 263
1050
+ 00:21:27,880 --> 00:21:37,780
1051
+ ุฎุงุฑุฌูŠุฉ ูุงู„ุฃูˆู„ ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚ 2 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
1052
+
1053
+ 264
1054
+ 00:21:37,780 --> 00:21:43,300
1055
+ 4 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
1056
+
1057
+ 265
1058
+ 00:21:43,300 --> 00:21:49,700
1059
+ 0 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚ ุงุชูุงู‚ ุงุชูุงู‚ 0 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
1060
+
1061
+ 266
1062
+ 00:21:49,700 --> 00:21:54,820
1063
+ ุงุชูุงู‚ ุงุชูุงู‚ 100 ู„ูˆ
1064
+
1065
+ 267
1066
+ 00:21:54,820 --> 00:21:59,440
1067
+ ูƒุงู†ุช ุชูƒุณุจ 100ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ุฌุงุจ ู…ูŠุฉ ู…ู† ู…ูŠุฉ ูˆ ุงู„ู…ุชูˆุณุท
1068
+
1069
+ 268
1070
+ 00:21:59,440 --> 00:22:06,220
1071
+ ุชู…ุงู†ูŠู† ู‡ู„ ู…ูŠุฉ ุชุนุชุจุฑ ุฃูˆุช ู„ูŠุฑุŸ ุทุงู„ุจ ุฃุฒูŠู‡ scoreุŸ ู…ูŠุฉ
1072
+
1073
+ 269
1074
+ 00:22:06,220 --> 00:22:10,860
1075
+ ู†ู‚ุต ุชู…ุงู†ูŠู† ุนู„ู‰ ุฎู…ุณุฉ four it means his score is
1076
+
1077
+ 270
1078
+ 00:22:10,860 --> 00:22:15,060
1079
+ four standard deviation above the mean and four is
1080
+
1081
+ 271
1082
+ 00:22:15,060 --> 00:22:17,920
1083
+ greater than plus three it means this point is
1084
+
1085
+ 272
1086
+ 00:22:17,920 --> 00:22:22,870
1087
+ considered to be an outlier or extreme valuesู‡ุฐู‡
1088
+
1089
+ 273
1090
+ 00:22:22,870 --> 00:22:25,110
1091
+ ุงู„ุทุฑูŠู‚ุฉ ุฃุณู‡ู„ ุทุฑูŠู‚ุฉ ู†ุนุฑู ุฅุฐุง ูƒุงู†ุช ุงู„ data is
1092
+
1093
+ 274
1094
+ 00:22:25,110 --> 00:22:28,010
1095
+ considered outlier ุงูˆ extreme ุงูˆ ู„ูŠุณ ูƒุฐู„ูƒ ูู‚ุท
1096
+
1097
+ 275
1098
+ 00:22:28,010 --> 00:22:33,870
1099
+ ุชุฌุฑุจุฉ ุงู„ z-score ุฅุฐุง ูƒุงู†ุช ุฃู‚ู„ ู…ู† 3 ุงูˆ ุฃู‚ู„ ู…ู† ู†ู‚ู„
1100
+
1101
+ 276
1102
+ 00:22:33,870 --> 00:22:41,570
1103
+ ู…ู† 3 ูู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุชุนุชุจุฑ ู†ู‚ู„ุฉ ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุชู„ุงุชุฉ ุจุณ
1104
+
1105
+ 277
1106
+ 00:22:41,570 --> 00:22:45,190
1107
+ ุฃูˆ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
1108
+
1109
+ 278
1110
+ 00:22:45,190 --> 00:22:45,990
1111
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
1112
+
1113
+ 279
1114
+ 00:22:45,990 --> 00:22:49,930
1115
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†the farther the data value
1116
+
1117
+ 280
1118
+ 00:22:49,930 --> 00:22:56,110
1119
+ is from the mean ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุทู„ู‚ุฉ ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ
1120
+
1121
+ 281
1122
+ 00:22:56,110 --> 00:23:01,090
1123
+ ุงู„ู…ุทู„ู‚ุฉ ู„ู†ุงู‚ุต four four ู…ุด ู‡ูŠ ูุจูŠุญูƒูŠ ูƒู„ ู…ูƒุงู† ููŠู‡
1124
+
1125
+ 282
1126
+ 00:23:01,090 --> 00:23:04,990
1127
+ ู‚ูŠู…ุฉ ุฃูƒุจุฑ ุจุชูƒูˆู† ุงู„ data ู…ุงู„ู‡ุง ุจุนูŠุฏุฉ ุนู† ุงู„ mean
1128
+
1129
+ 283
1130
+ 00:23:04,990 --> 00:23:09,810
1131
+ ูŠุนู†ูŠ z score of negative four which one is far
1132
+
1133
+ 284
1134
+ 00:23:09,810 --> 00:23:14,010
1135
+ from the mean z score of negative four or z score
1136
+
1137
+ 285
1138
+ 00:23:14,010 --> 00:23:19,260
1139
+ of equals two ุงู†ุณู‰ ุงู„ุฅุดุงุฑุฉู†ู‚ุงุท ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰ ู‚ูŠู…ุฉ
1140
+
1141
+ 286
1142
+ 00:23:19,260 --> 00:23:25,000
1143
+ ุงู„ูˆุงู‚ุนูŠุฉ ู‡ุฐุง ุฃูƒุจุฑ ู…ู† 2 ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ุฐุง ุงู„ูˆุถุน ู‡ูˆ
1144
+
1145
+ 287
1146
+ 00:23:25,000 --> 00:23:35,980
1147
+ ุฃูƒุชุฑ ู…ู† ุงู„ูˆุงู‚ุน ุฃุจุนุฏ ู…ู† ุงู„ู…ุชูˆุณุท ู„ุฐู„ูƒ ู…ุฑุฉ
1148
+
1149
+ 288
1150
+ 00:23:35,980 --> 00:23:41,780
1151
+ ุฃุฎุฑู‰ ู‡ุฐู‡ ู‡ูŠ ุงู„ููˆุฑู…ูˆู„ุฉ ู„ู€ z-score ู‡ู„ ุชุนุชู‚ุฏ ุฃู† z
1152
+
1153
+ 289
1154
+ 00:23:41,780 --> 00:23:47,690
1155
+ -score ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงูุถู„ ุฃูˆ ุงู‚ู„ ุงูˆ ู†ู‚ู„ 0ุŸูŠู…ูƒู† ุฃู†
1156
+
1157
+ 290
1158
+ 00:23:47,690 --> 00:23:53,530
1159
+ ูŠูƒูˆู† ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1160
+
1161
+ 291
1162
+ 00:23:53,530 --> 00:23:57,450
1163
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1164
+
1165
+ 292
1166
+ 00:23:57,450 --> 00:23:59,310
1167
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1168
+
1169
+ 293
1170
+ 00:23:59,310 --> 00:23:59,430
1171
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1172
+
1173
+ 294
1174
+ 00:23:59,430 --> 00:23:59,470
1175
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1176
+
1177
+ 295
1178
+ 00:23:59,470 --> 00:24:14,770
1179
+ ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง ุงูŠุถุง
1180
+
1181
+ 296
1182
+ 00:24:14,770 --> 00:24:16,890
1183
+ ุงูŠุถ
1184
+
1185
+ 297
1186
+ 00:24:19,100 --> 00:24:25,100
1187
+ and equals zero if x equals x bar ุฅุฐุง ู…ู…ูƒู† ุงู„ z
1188
+
1189
+ 298
1190
+ 00:24:25,100 --> 00:24:29,460
1191
+ -score ูŠุงุฎุฏ ุชู„ุช ุญุงู„ุงุช positive ุฅุฐุง ูƒุงู† ุงู„ x
1192
+
1193
+ 299
1194
+ 00:24:29,460 --> 00:24:34,520
1195
+ greater than x bar negative ุฅุฐุง ูƒุงู† ุงู„ x more than
1196
+
1197
+ 300
1198
+ 00:24:34,520 --> 00:24:40,880
1199
+ x bar equals zero if x equals x bar this is
1200
+
1201
+ 301
1202
+ 00:24:40,880 --> 00:24:41,660
1203
+ another example
1204
+
1205
+ 302
1206
+ 00:24:46,390 --> 00:24:51,490
1207
+ ูŠูƒูˆู† ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1208
+
1209
+ 303
1210
+ 00:24:51,490 --> 00:24:52,530
1211
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1212
+
1213
+ 304
1214
+ 00:24:52,530 --> 00:24:54,710
1215
+ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡
1216
+
1217
+ 305
1218
+ 00:24:54,710 --> 00:24:57,110
1219
+ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1220
+
1221
+ 306
1222
+ 00:24:57,110 --> 00:24:57,690
1223
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1224
+
1225
+ 307
1226
+ 00:24:57,690 --> 00:24:57,910
1227
+ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡
1228
+
1229
+ 308
1230
+ 00:24:57,910 --> 00:24:57,910
1231
+ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1232
+
1233
+ 309
1234
+ 00:24:57,910 --> 00:25:00,070
1235
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1236
+
1237
+ 310
1238
+ 00:25:00,070 --> 00:25:04,070
1239
+ ุงูŠู‡
1240
+
1241
+ 311
1242
+ 00:25:04,070 --> 00:25:12,130
1243
+ ุนู„ุงู‚ุชู‡
1244
+
1245
+ 312
1246
+ 00:25:12,130 --> 00:25:20,420
1247
+ ุจุงู„ู…ูŠุฉ ุงูŠู…ุน ู…ู‚ุงุฑู†ุฉ ุฃุณุงุณูŠุฉ 100 ูˆุงู†ุช
1248
+
1249
+ 313
1250
+ 00:25:20,420 --> 00:25:24,320
1251
+ ุชุณุฃู„ ุนู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 620 ู…ู‚ุงุฑู†ุฉ ุงู„ู€
1252
+
1253
+ 314
1254
+ 00:25:24,320 --> 00:25:28,060
1255
+ z-score ุจู…ู‚ุงุฑู†ุฉ 620 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 49
1256
+
1257
+ 315
1258
+ 00:25:28,060 --> 00:25:31,140
1259
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 49 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score
1260
+
1261
+ 316
1262
+ 00:25:31,140 --> 00:25:42,080
1263
+ ุจู…ู‚ุงุฑู†ุฉ 100 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 620
1264
+
1265
+ 317
1266
+ 00:25:44,170 --> 00:25:50,930
1267
+ 620-490 ุฃูˆ 100 ูŠุนู†ูŠ 1.3 ูˆู‡ุฐุง ุฃุนู†ูŠ ุฃู† ู…ู‚ุงุฑู†ุชูŠ ุฃุนู„ู‰
1268
+
1269
+ 318
1270
+ 00:25:50,930 --> 00:25:56,630
1271
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉุŒ ุฃุนู„ู‰ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1272
+
1273
+ 319
1274
+ 00:25:56,630 --> 00:25:57,070
1275
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1276
+
1277
+ 320
1278
+ 00:25:57,070 --> 00:25:57,090
1279
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1280
+
1281
+ 321
1282
+ 00:25:57,090 --> 00:25:59,510
1283
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1284
+
1285
+ 322
1286
+ 00:25:59,510 --> 00:25:59,890
1287
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1288
+
1289
+ 323
1290
+ 00:25:59,890 --> 00:26:01,730
1291
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1292
+
1293
+ 324
1294
+ 00:26:01,730 --> 00:26:05,460
1295
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑูŠู…ูƒู† ุฃู† ูŠูƒูˆู† 1.3
1296
+
1297
+ 325
1298
+ 00:26:05,460 --> 00:26:09,260
1299
+ ุฃูˆ 1.5 ุฃูˆ ู…ู‡ู…ุง ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ู„ุฃู†ู†ุง ุญุตู„ู†ุง ุนู„ู‰ 1.3ุŒ
1300
+
1301
+ 326
1302
+ 00:26:09,260 --> 00:26:13,700
1303
+ ู„ุฐู„ูƒ ู‚ูŠู…ุฉ ู‡ุฐุง ู‡ูŠ 1.3 ู…ู‚ุงุฑู†ุฉ ุฃุนู„ู‰ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุงุณูŠุฉ
1304
+
1305
+ 327
1306
+ 00:26:13,700 --> 00:26:21,520
1307
+ ู…ุฑุฉ ุฃุฎุฑู‰ ุชุนุชุจุฑ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ 620 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงูƒุŒ ุงู„ุขู†
1308
+
1309
+ 328
1310
+ 00:26:21,520 --> 00:26:29,080
1311
+ ู‚ูŠู…ุฉ 1.3 ู„ูŠุณุช ุฃูƒุจุฑ ู…ู† 3 ุฃูƒุจุฑุŒ ุฅู†ู‡ุง ุจูŠู† 3 ุฃู‚ู„ ูˆ3
1312
+
1313
+ 329
1314
+ 00:26:29,080 --> 00:26:33,140
1315
+ ุฃูƒุจุฑุŒ ู„ุฐู„ูƒ ู‡ุฐุง ุงู„ู†ู‚ุทุฉ ุฃูˆ ู‚ูŠู…ุฉ 620
1316
+
1317
+ 330
1318
+ 00:26:35,640 --> 00:26:43,080
1319
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุซุงู„ุซ ุฃูˆ ุฃูƒ๏ฟฝ๏ฟฝุฑ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซุงู„ุซุฉ ุฃูˆ
1320
+
1321
+ 331
1322
+ 00:26:43,080 --> 00:26:44,180
1323
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1324
+
1325
+ 332
1326
+ 00:26:44,180 --> 00:26:45,820
1327
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1328
+
1329
+ 333
1330
+ 00:26:45,820 --> 00:26:45,820
1331
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1332
+
1333
+ 334
1334
+ 00:26:45,820 --> 00:26:46,500
1335
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1336
+
1337
+ 335
1338
+ 00:26:46,500 --> 00:26:46,620
1339
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1340
+
1341
+ 336
1342
+ 00:26:46,620 --> 00:26:53,900
1343
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ
1344
+
1345
+ 337
1346
+ 00:26:53,900 --> 00:27:02,500
1347
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซ
1348
+
1349
+ 338
1350
+ 00:27:12,250 --> 00:27:16,010
1351
+ ู…ุงููŠุด ุงุฎุชู„ุงู ุงู‡ ุจูŠู† ุงู„ euro score and the average
1352
+
1353
+ 339
1354
+ 00:27:16,010 --> 00:27:20,390
1355
+ ูŠุนู†ูŠ ู…ุด ุจุนูŠุฏุฉ ุงูƒุชุฑ ู„ูƒู† ู„ูˆ ู„ุงุญุธุช ู‡ู†ุง ู…ุซู„ุง ู„ู…ุง ูƒุงู†ุช
1356
+
1357
+ 340
1358
+ 00:27:20,390 --> 00:27:24,530
1359
+ eighty-five ูˆ ุงู„ average eighty is okay my score
1360
+
1361
+ 341
1362
+ 00:27:24,530 --> 00:27:28,200
1363
+ is around the averageso my score of eighty is
1364
+
1365
+ 342
1366
+ 00:27:28,200 --> 00:27:31,220
1367
+ eighty five is not large value is not extreme
1368
+
1369
+ 343
1370
+ 00:27:31,220 --> 00:27:34,600
1371
+ value but if you look at sixty if you got sixty in
1372
+
1373
+ 344
1374
+ 00:27:34,600 --> 00:27:38,180
1375
+ the scores and the average was eighty ูˆุงุถุญ ุงุญุชุฑู‚
1376
+
1377
+ 345
1378
+ 00:27:38,180 --> 00:27:41,880
1379
+ ูƒุจูŠุฑ ุจูŠู†ู‡ู… ูุฏุฑุณุชูƒ ุจุนูŠุฏุฉ ูƒุชูŠุฑ ุนู† ุงู„ุทู„ุงุจ ูˆูŠู† ู„ุชุญุช
1380
+
1381
+ 346
1382
+ 00:27:41,880 --> 00:27:46,200
1383
+ ุจุนุฏ ูƒุฏู‡ ุฏุฑุณุชูƒ ุฃู‚ู„ ู…ู† ุงู„ุทู„ุงุจ ุฃุฑุจุน ุงู†ุญุฑุงูุงุช ู…ูŠุงุฑูŠุฉ
1384
+
1385
+ 347
1386
+ 00:27:46,200 --> 00:27:50,500
1387
+ ู„ูˆ ูƒุงู†ุช ุฌูŠุจุช ู…ูŠุฉ ุจุนุฏ ูƒุฏู‡ ุฏุฑุณุชูŠ ุนุงู„ูŠุฉ ุฌุฏุง ูˆุงุทู„ุช
1388
+
1389
+ 348
1390
+ 00:27:50,500 --> 00:27:54,180
1391
+ ุฃุฑุจุน ุงู†ุญุฑุงูุงุช ู…ูŠุงุฑูŠุฉ any question?
1392
+
1393
+ 349
1394
+ 00:28:01,410 --> 00:28:06,630
1395
+ ุงู„ุณุงุจู‚ ู‡ูˆ ุดูƒู„ ุงู„ุงู†ุชุฌุงุฑ if you remember when we
1396
+
1397
+ 350
1398
+ 00:28:06,630 --> 00:28:13,990
1399
+ started chapter three we started with three
1400
+
1401
+ 351
1402
+ 00:28:13,990 --> 00:28:18,890
1403
+ definitions similar
1404
+
1405
+ 352
1406
+ 00:28:18,890 --> 00:28:22,590
1407
+ definitions in slide four ุญูƒูŠู†ุง ุงู„ central
1408
+
1409
+ 353
1410
+ 00:28:22,590 --> 00:28:27,050
1411
+ tendency ุฃุฎุฏู†ุง three measures mean, median and
1412
+
1413
+ 354
1414
+ 00:28:27,050 --> 00:28:31,590
1415
+ modeุจุนุฏ ุงุฎุฏ ุงู„ majors of variation ุงุฎู„ู†ุง ุงู„ range
1416
+
1417
+ 355
1418
+ 00:28:31,590 --> 00:28:35,530
1419
+ ุงู„ standard deviation ูˆ ุงู„ variance ูˆ ุงู„
1420
+
1421
+ 356
1422
+ 00:28:35,530 --> 00:28:40,830
1423
+ coefficient of variation ุงุฎุฑ ูˆุงุญุฏุฉ ุงูŠุด the shape ูˆ
1424
+
1425
+ 357
1426
+ 00:28:40,830 --> 00:28:44,410
1427
+ ุญูƒูŠู†ุง the shape is the pattern of distribution of
1428
+
1429
+ 358
1430
+ 00:28:44,410 --> 00:28:49,150
1431
+ values from lowest to the highest value ูƒูŠู ุดูƒู„
1432
+
1433
+ 359
1434
+ 00:28:49,150 --> 00:28:51,910
1435
+ ุงู„ุชูˆุฒูŠุน ู…ู† ุงุตุบุฑ ู‚ูŠู…ุฉ ู„ุฃูƒุจุฑ ู‚ูŠู…ุฉ ูŠุนู†ูŠ ุงู†ุง ุนุงูŠุฒ ุงุนุฑู
1436
+
1437
+ 360
1438
+ 00:28:51,910 --> 00:28:55,850
1439
+ ุดูƒู„ ุงู„ุชูˆุฒูŠุน ู„ูƒู„ ุงู„ data set ู‡ุฐุง ุงู„ู„ูŠ ุญู†ุญูƒูŠ ุนู„ูŠู‡
1440
+
1441
+ 361
1442
+ 00:28:55,850 --> 00:29:03,350
1443
+ ุงู„ุขู† ุงู† ุดุงุก ุงู„ู„ู‡ุงู„ู„ูŠ ู‡ูˆ ุขุฎุฑ ูˆุงุญุฏุฉ ุงู„ูŠูˆู… ุงู„ู„ูŠ ู‡ูˆ
1444
+
1445
+ 362
1446
+ 00:29:03,350 --> 00:29:07,010
1447
+ shape of a distribution ุดูƒู„ ุงู„ุชูˆุฒูŠุน
1448
+
1449
+ 363
1450
+ 00:29:33,530 --> 00:29:36,330
1451
+ ุจุนุฏูŠ ุจุนุฏูŠ
1452
+
1453
+ 364
1454
+ 00:29:39,280 --> 00:29:43,240
1455
+ ุงู„ุงู† ุณุงุจูˆุฒ ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ูˆู†ุญู† ู…ู‡ุชู…ูŠู†
1456
+
1457
+ 365
1458
+ 00:29:43,240 --> 00:29:51,320
1459
+ ุจุงู„ุนุฑูุฉ ุนู† ุดูƒู„ ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ุงู„ุดูƒู„ุฉ ุชุณู…ุญ
1460
+
1461
+ 366
1462
+ 00:29:51,320 --> 00:29:55,700
1463
+ ุจูƒูŠููŠุฉ ู…ุฌู…ูˆุนุฉ ุงู„ุจูŠุงู†ุงุช ุจูŠูˆุถุญ
1464
+
1465
+ 367
1466
+ 00:29:55,700 --> 00:30:06,900
1467
+ ุงูˆ ูŠูˆุตู ูƒูŠู ุชุชูˆุฒู‚ ุดูƒู„ ุงู„ุจูŠุงู†ุงุช ุดูƒู„ุชูŠู†
1468
+
1469
+ 368
1470
+ 00:30:06,900 --> 00:30:16,890
1471
+ ู…ู‡ู…ุฉ ุชุชุตุฑู ููŠ ุงู„ุดูƒู„number one is called skewness
1472
+
1473
+ 369
1474
+ 00:30:16,890 --> 00:30:27,970
1475
+ skewness ุฃุณู…ุนุด skew ุฃูˆ skewness ุงู„ุชูˆุงุน ุงู„ุชูˆุงุน
1476
+
1477
+ 370
1478
+ 00:30:27,970 --> 00:30:31,010
1479
+ ุงู„ุชูˆุงุน
1480
+
1481
+ 371
1482
+ 00:30:31,010 --> 00:30:33,850
1483
+ ู…ุนู†ุงู‡ measures the extent to which data values are
1484
+
1485
+ 372
1486
+ 00:30:33,850 --> 00:30:38,830
1487
+ not symmetrical symmetrical ูŠุนู†ูŠ ู…ุชู…ุซู„
1488
+
1489
+ 373
1490
+ 00:30:40,200 --> 00:30:48,320
1491
+ ูˆ ุจูŠู† ุงู„ุฃูŠู…ุฏุฉ ุงู„ data values ุจุชูƒูˆู† ู…ุชู…ุงุซู„ุฉ if you
1492
+
1493
+ 374
1494
+ 00:30:48,320 --> 00:30:52,260
1495
+ look at this data and suppose we have this graph
1496
+
1497
+ 375
1498
+ 00:30:52,260 --> 00:30:55,700
1499
+ suppose we have data set and we have this graph
1500
+
1501
+ 376
1502
+ 00:30:55,700 --> 00:30:58,740
1503
+ this
1504
+
1505
+ 377
1506
+ 00:30:58,740 --> 00:30:59,300
1507
+ is the mean
1508
+
1509
+ 378
1510
+ 00:31:06,050 --> 00:31:11,070
1511
+ ู„ูˆ this graph is symmetricุŒ symmetric ู…ุนู†ุงู‡ุŒ ู…ุนู†ุงู‡
1512
+
1513
+ 379
1514
+ 00:31:11,070 --> 00:31:18,390
1515
+ ู…ุชู…ุซู„ุŒ symmetric ู…ุนู†ุงู‡
1516
+
1517
+ 380
1518
+ 00:31:18,390 --> 00:31:22,110
1519
+ ู…ุชู…ุซู„ุŒ ุฅูŠุด ู…ุนู†ุงู‡ ู…ุชู…ุซู„ุŸ ูŠุนู†ูŠ ุงู„ right ูˆ ุงู„ left ู…ุง
1520
+
1521
+ 381
1522
+ 00:31:22,110 --> 00:31:26,810
1523
+ ู„ู‡ู… ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถ ูŠุนู†ูŠ ุงู„ main value is in the
1524
+
1525
+ 382
1526
+ 00:31:26,810 --> 00:31:29,230
1527
+ center of the distributionุŒ ููŠ ุงู„ู†ุต ุงู„ุฌู‡ุฉ ุจุงู„ุธุจุท
1528
+
1529
+ 383
1530
+ 00:31:29,230 --> 00:31:34,330
1531
+ ูŠุนู†ูŠ ุงู„ main value ููŠ ุงู„ู…ุฑูƒุฒุŒ ููŠ ุงู„ centerTable
1532
+
1533
+ 384
1534
+ 00:31:34,330 --> 00:31:40,950
1535
+ skewed skewed ู…ุนู†ุงู‡ุง ู‡ูŠูƒ ู„ุญุธุฉ
1536
+
1537
+ 385
1538
+ 00:31:40,950 --> 00:31:46,390
1539
+ ู‡ูŠ ุงู„ main value ุจุณ
1540
+
1541
+ 386
1542
+ 00:31:46,390 --> 00:31:49,270
1543
+ ู„ูˆ ุทู„ุนุช ุนู„ูŠู‡ ู…ู† ุทุฑู ุฃูŠ ู…ู†ุทู‚ุฉ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ู‡ู†ุง ุงู„
1544
+
1545
+ 387
1546
+ 00:31:49,270 --> 00:31:53,830
1547
+ right side ู…ุด ุฒูŠ ุงู„ left side ุงุฐุง ู‡ุฐุง ู…ุด .. ู…ุด
1548
+
1549
+ 388
1550
+ 00:31:53,830 --> 00:32:00,650
1551
+ symmetric ุจุฑุถู‡ ู„ูˆ ูƒุงู† ุงู„ุนูƒุณ ู„ูˆ
1552
+
1553
+ 389
1554
+ 00:32:00,650 --> 00:32:01,650
1555
+ ุญุงุฌุฉ ุฒูŠูƒ ู‡ูŠ ุงู„ main
1556
+
1557
+ 390
1558
+ 00:32:05,180 --> 00:32:10,700
1559
+ ุจุฑุถู‡ ู‡ุฐุง not symmetric ุฅุฐุง ุงู„ skewness measures
1560
+
1561
+ 391
1562
+ 00:32:10,700 --> 00:32:13,520
1563
+ the extent to which data values are not symmetric
1564
+
1565
+ 392
1566
+ 00:32:13,520 --> 00:32:17,160
1567
+ ุฎู„ู‘ูŠู†ูŠ
1568
+
1569
+ 393
1570
+ 00:32:17,160 --> 00:32:19,800
1571
+ ุฃุญูƒูŠ ุนู„ูŠู‡ุง ุงู„ูŠูˆู… ูˆ ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ ุจู†ุญูƒูŠ ุนู„ูŠ ุงู„
1572
+
1573
+ 394
1574
+ 00:32:19,800 --> 00:32:27,520
1575
+ kurtosis ุงู„ kurtosis ู…ุนู†ุงู‡ุง ุชูู„ุทุญ ู‡ูŠ
1576
+
1577
+ 395
1578
+ 00:32:27,520 --> 00:32:28,280
1579
+ ูƒุฏู‡ ู…ุนู†ุงู‡ุง
1580
+
1581
+ 396
1582
+ 00:32:32,660 --> 00:32:36,160
1583
+ ุฃุญูŠุงู†ุง ู…ู…ูƒู† ุชูƒูˆู† ุงู„ .. ุงู„ expression ุจุงู„ุนุฑุจูŠ ู…ุด
1584
+
1585
+ 397
1586
+ 00:32:36,160 --> 00:32:51,240
1587
+ ุจูˆุถุญุด ุงู„ู…ุนู†ู‰ ุชุจุนู‡ ู„ูƒู† ุงู„ุชุนุฑูŠู ู…ู…ูƒู† ุชูƒูˆู† ุฃูˆุถุญ ุงู†ุช
1588
+
1589
+ 398
1590
+ 00:32:51,240 --> 00:32:54,100
1591
+ ุจู‚ุงู„ูƒุด ุชุนุฑููŠู‡ุง ูƒูŠู ุงุชุฌู‡ุช ุงู„ู…ุนู†ู‰ ู‡ุณู‡ ุงู†ุง ุชูู„ุทุญ ุงูˆ
1592
+
1593
+ 399
1594
+ 00:32:54,100 --> 00:32:59,160
1595
+ ุชูุฑุทุญ ุญุณุจ ุงู„ูƒุชุฑ ุทุจ ู†ุงุฎุฏ ุงู„ู„ุงูุธ ุชุจุญุด ู…ุนู†ุงู‡
1596
+
1597
+ 400
1598
+ 00:33:02,930 --> 00:33:07,230
1599
+ ุงู„ู€ care measures the weakness of the care of
1600
+
1601
+ 401
1602
+ 00:33:07,230 --> 00:33:15,510
1603
+ distribution ุจูŠูƒ ู…ุนู†ุงู‡ ุฅูŠุดุŸ ู‚ู…ุฉุŒ ุจุญูƒูŠ weakness ู„ุฃ
1604
+
1605
+ 402
1606
+ 00:33:15,510 --> 00:33:21,030
1607
+ ู…ุด ู…ุนู†ุงู‡ุง ุงู„ู‚ุงุนุฉุŒ ู…ุด ู…ุนู†ุงู‡ุง ุงู„ุนูƒุณ ูŠุนู†ูŠ
1608
+
1609
+ 403
1610
+ 00:33:21,030 --> 00:33:28,870
1611
+ ุทู„ุน
1612
+
1613
+ 404
1614
+ 00:33:28,870 --> 00:33:35,520
1615
+ ุนู„ู‰ ุงู„ graph ุงู„ู„ูŠ ู‡ู†ุงู‡ูŠ ุงู„ู‚ู…ุฉ ุชุจุนู‡ุง ูˆ graph ุชุงู†ูŠ
1616
+
1617
+ 405
1618
+ 00:33:35,520 --> 00:33:42,280
1619
+ ูˆุตู„ ุงู„ center ู‡ูŠูƒ ูˆุงุญุฏ
1620
+
1621
+ 406
1622
+ 00:33:42,280 --> 00:33:49,040
1623
+ ุชุงู„ุช ูˆุตู„ ุงู„ู‚ู…ุฉ ุจุฐุง ุดูƒู„ ูŠุนู†ูŠ
1624
+
1625
+ 407
1626
+ 00:33:49,040 --> 00:33:54,760
1627
+ ูˆุงุญุฏ ุงู„ู‚ู…ุฉ ุชุญุชู‡ ู…ุฏุจุจุฉ sharp ูˆุงุญุฏ flat ุฒูŠ ู‡ูŠูƒ ุงูˆ
1628
+
1629
+ 408
1630
+ 00:33:54,760 --> 00:33:58,560
1631
+ flat ุงูƒุชุฑ ู‡ุฐุง ู†ุณู…ูŠู‡ kurtosis ุชูู„ุทุญ
1632
+
1633
+ 409
1634
+ 00:34:01,890 --> 00:34:07,330
1635
+ that is how sharply the curve rises approaching
1636
+
1637
+ 410
1638
+ 00:34:07,330 --> 00:34:11,430
1639
+ the center of distribution ูƒู… ูƒุงู† ุญุฏ ุงู„ุชูˆุฒูŠุน ู„ู…ุง
1640
+
1641
+ 411
1642
+ 00:34:11,430 --> 00:34:16,890
1643
+ ูˆุตู„ ู„ู„ู‚ู…ุฉ ู‡ู„ sharp ุฒูŠ ู‡ู‰ ุงู„ู†ู‚ุทุฉ ุงู„ู„ู‰ ุชู…ุซู„ ุงู„
1644
+
1645
+ 412
1646
+ 00:34:16,890 --> 00:34:22,030
1647
+ maximum ู…ุด ู‡ู‰ ู‡ู‰ ุงู„ maximum ู„ู…ุง ูˆุตู„ ู„ ุงู„ max ูƒุงู†
1648
+
1649
+ 413
1650
+ 00:34:22,030 --> 00:34:25,870
1651
+ sharp ูˆู„ุง ูƒุงู† flat ู‡ุฐุง ุจูˆุถุญ ุงู„ูƒูŠุฑุชุณ ุงู„ู„ู‰ ู‚ุงู„ ุฌู‡ุฉ
1652
+
1653
+ 414
1654
+ 00:34:25,870 --> 00:34:29,950
1655
+ ุงู† ุดุงุก ุงู„ู„ู‡ ุฎู„ูŠู†ุง ุนู„ู‰ ุงู„ security ุงู„ูŠูˆู… ูˆู†ุงุฎุฏ
1656
+
1657
+ 415
1658
+ 00:34:29,950 --> 00:34:38,400
1659
+ three figuresุงู†ุธุฑ ุฅู„ู‰ ุงู„ูˆุงุญุฏ ููŠ ุงู„ู…ูˆุณูŠู‚ู‰ ุงู„ุขู†
1660
+
1661
+ 416
1662
+ 00:34:38,400 --> 00:34:42,600
1663
+ ู‡ุฐุง ู…ุฑุชุจุท ู„ุฐู„ูƒ ู„ุชุนุงู…ู„ ุงู„ุชุนุงู…ู„ ุงู„ู…ุฑุชุจุท ุงู„ู…ูˆุณูŠู‚ู‰
1664
+
1665
+ 417
1666
+ 00:34:42,600 --> 00:34:47,820
1667
+ ูˆุงู„ู…ูˆุณูŠู‚ู‰ ู…ุฑุชุจุท ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ู‹ุง ู„ุฐู„ูƒ ู„ู„ู…ูˆุณูŠู‚ู‰
1668
+
1669
+ 418
1670
+ 00:34:47,820 --> 00:34:53,180
1671
+ ุงู„ู…ุฑุชุจุท ุงู„ู…ูˆุณูŠู‚ู‰ ู…ุฑุชุจุท ุงู„ู…ูˆุณูŠู‚ู‰
1672
+
1673
+ 419
1674
+ 00:34:55,670 --> 00:34:58,170
1675
+ ู„ุฐู„ูƒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1676
+
1677
+ 420
1678
+ 00:34:58,170 --> 00:34:58,870
1679
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1680
+
1681
+ 421
1682
+ 00:34:58,870 --> 00:35:00,610
1683
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1684
+
1685
+ 422
1686
+ 00:35:00,610 --> 00:35:07,930
1687
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1688
+
1689
+ 423
1690
+ 00:35:07,930 --> 00:35:12,370
1691
+ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ ู…ุณู…ูˆุนุฉ
1692
+
1693
+ 424
1694
+ 00:35:12,370 --> 00:35:15,170
1695
+ ู…ุณู…ูˆุนุฉ
1696
+
1697
+ 425
1698
+ 00:35:20,490 --> 00:35:25,490
1699
+ ู…ู† ุงู„ุฃุทูˆู„ ุงู„ lift tail ูˆุงุถุญ lift ุฃุทุฑุงู ุงู„ุฃูŠ ุฃุณุงู‚
1700
+
1701
+ 426
1702
+ 00:35:25,490 --> 00:35:32,210
1703
+ is longer than right tail ู‡ุฐุง ุจู†ุณู…ูŠู‡ lift skewed
1704
+
1705
+ 427
1706
+ 00:35:32,210 --> 00:35:40,110
1707
+ ุฅุฐุง ู…ุง ูŠูƒูˆู† ุงู„ lift tail ู‡ุงูŠ ุงู„ lift tail ูˆุงุถุญ
1708
+
1709
+ 428
1710
+ 00:35:40,110 --> 00:35:45,730
1711
+ ุฃู†ู‡ lift tail is longer than right tail ู‡ุงูŠ ุงู„
1712
+
1713
+ 429
1714
+ 00:35:45,730 --> 00:35:46,490
1715
+ lift tail is longer
1716
+
1717
+ 430
1718
+ 00:35:49,740 --> 00:35:55,860
1719
+ than ุงู„ right tail ุงู„ median ู„ูˆ ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ out
1720
+
1721
+ 431
1722
+ 00:35:55,860 --> 00:36:00,040
1723
+ layers we know that the median is less sensitive
1724
+
1725
+ 432
1726
+ 00:36:00,040 --> 00:36:04,180
1727
+ to out layers ู…ุด ู‡ูŠ ุฃู‚ู„ ุญุณุงุณูŠุฉ ู„ out layers ู„ูƒู† ุงู„
1728
+
1729
+ 433
1730
+ 00:36:04,180 --> 00:36:11,620
1731
+ mean ู…ุง๏ฟฝ๏ฟฝู‡ more sensitive ูุงู„ mean always in this
1732
+
1733
+ 434
1734
+ 00:36:11,620 --> 00:36:17,930
1735
+ case P to the left side so the meanู‡ูŠ ุฃูƒุซุฑ ุดุฎุตูŠุฉ
1736
+
1737
+ 435
1738
+ 00:36:17,930 --> 00:36:22,890
1739
+ ู„ู„ุฎุทูˆุท ุงู„ุฎุงุฑุฌูŠุฉ ู„ุฐุง ููŠ ุญุงู„ุฉ ุงุชุฌุงุฑุฉ ุงุชุฌุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1740
+
1741
+ 436
1742
+ 00:36:22,890 --> 00:36:27,970
1743
+ ุงุชุฌุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1744
+
1745
+ 437
1746
+ 00:36:27,970 --> 00:36:33,990
1747
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1748
+
1749
+ 438
1750
+ 00:36:33,990 --> 00:36:35,910
1751
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1752
+
1753
+ 439
1754
+ 00:36:35,910 --> 00:36:36,550
1755
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1756
+
1757
+ 440
1758
+ 00:36:36,550 --> 00:36:37,990
1759
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1760
+
1761
+ 441
1762
+ 00:36:37,990 --> 00:36:40,510
1763
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1764
+
1765
+ 442
1766
+ 00:36:40,510 --> 00:36:40,510
1767
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ
1768
+
1769
+ 443
1770
+ 00:36:40,510 --> 00:36:41,650
1771
+ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠุณุงุฑุฉ ุงู„ูŠ
1772
+
1773
+ 444
1774
+ 00:36:44,510 --> 00:36:47,890
1775
+ ุฏุงุฆู…ุง ุงู„ู€ mean ุจูŠูƒูˆู† ู…ุน ุทุฑู ุงู„ุฃุทูˆู„ุŒ ูŠุนู†ูŠ ูˆูŠู† ููŠู‡
1776
+
1777
+ 445
1778
+ 00:36:47,890 --> 00:36:51,430
1779
+ ุทุฑู ุฃุทูˆู„ุŒ ูŠุนู†ูŠ ูˆูŠู† ููŠู‡ outliersุŒ ุงู„ู€ mean ุจุชุฃุซุฑ
1780
+
1781
+ 446
1782
+ 00:36:51,430 --> 00:36:55,650
1783
+ ุจู‡ุงุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุด ู‡ูŠูƒ ุฃู† ุงู„ู€ mean is much affected
1784
+
1785
+ 447
1786
+ 00:36:55,650 --> 00:36:59,310
1787
+ by extreme values than the medianุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ mean
1788
+
1789
+ 448
1790
+ 00:36:59,310 --> 00:37:03,370
1791
+ ุฏุงูŠู…ุง ุจูŠุชุฌู‡ ู„ู‡ูˆูŠู† ู„ู„ outliersุŒ ุงู„ outliers ุงู„ู„ูŠ
1792
+
1793
+ 449
1794
+ 00:37:03,370 --> 00:37:07,830
1795
+ ู…ูˆุฌูˆุฏูŠู† left sideุŒ ุงุฐุง ู‡ูˆ ุจุฑูˆุญ ุงู„ left ุทุงู„ู…ุง ูŠุฌูŠ
1796
+
1797
+ 450
1798
+ 00:37:07,830 --> 00:37:11,010
1799
+ ุนู„ู‰ ุงู„ leftุŒ ุงุฐุง ู‚ูŠู…ุชู‡ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ medianุŒ
1800
+
1801
+ 451
1802
+ 00:37:11,010 --> 00:37:12,710
1803
+ look at the graph C
1804
+
1805
+ 452
1806
+ 00:37:16,810 --> 00:37:20,090
1807
+ ุงู„ุงู† ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡
1808
+
1809
+ 453
1810
+ 00:37:20,090 --> 00:37:21,110
1811
+ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูŠู‡ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1812
+
1813
+ 454
1814
+ 00:37:21,110 --> 00:37:23,570
1815
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1816
+
1817
+ 455
1818
+ 00:37:23,570 --> 00:37:26,970
1819
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1820
+
1821
+ 456
1822
+ 00:37:26,970 --> 00:37:27,830
1823
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1824
+
1825
+ 457
1826
+ 00:37:27,830 --> 00:37:33,490
1827
+ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ ุงูƒุชุฑุŸ
1828
+
1829
+ 458
1830
+ 00:37:33,490 --> 00:37:42,630
1831
+ ุงูƒุชุฑุŸ
1832
+
1833
+ 459
1834
+ 00:37:42,630 --> 00:37:47,810
1835
+ ุงูƒุชas a women's shirt, the mean tends to be in the
1836
+
1837
+ 460
1838
+ 00:37:47,810 --> 00:37:52,110
1839
+ direction of long tail ุจุฑูˆุญ ู„ุชุฌุงู‡ ุงู„ุฃุทูˆู„, now the
1840
+
1841
+ 461
1842
+ 00:37:52,110 --> 00:37:56,110
1843
+ long tail is to the right side ุงุฐุง ู…ุนุงูƒ ุฏู‡ ุงู„ mean
1844
+
1845
+ 462
1846
+ 00:37:56,110 --> 00:38:03,910
1847
+ ู‡ู†ุง which is bigger, mean or median ุงู„ media .. ุงู„
1848
+
1849
+ 463
1850
+ 00:38:03,910 --> 00:38:08,190
1851
+ mean ุฑุงุญ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุทุฑู ุงู„ูŠู…ูŠู† ุฏูŠ ุงู…ุง ุงู„ุฃุทูˆู„ ุงู„ู„ูŠ
1852
+
1853
+ 464
1854
+ 00:38:08,190 --> 00:38:13,010
1855
+ ู„ู…ุง ุจูƒูˆู† ุนู†ุฏูŠ ุฃุฑู‚ุงู… ู…ู† ูˆุงุญุฏ ู„ุฃู„ู ุงู„ู„ูŠ ู‡ูŠูƒ ุจูƒูˆู† ุฃุท
1856
+
1857
+ 465
1858
+ 00:38:13,010 --> 00:38:18,010
1859
+ ุฃูƒุจุฑ, ุจุงู„ุชุงู„ูŠ ุงู„ mean ุฃูƒุจุฑุฅุฐุง for right skewed the
1860
+
1861
+ 466
1862
+ 00:38:18,010 --> 00:38:21,270
1863
+ mean is always greater than the median so we have
1864
+
1865
+ 467
1866
+ 00:38:21,270 --> 00:38:25,330
1867
+ three different situations if we have symmetric
1868
+
1869
+ 468
1870
+ 00:38:25,330 --> 00:38:28,890
1871
+ distribution then mean and the median are equals
1872
+
1873
+ 469
1874
+ 00:38:28,890 --> 00:38:33,910
1875
+ but for left skewed the mean is smaller than the
1876
+
1877
+ 470
1878
+ 00:38:33,910 --> 00:38:37,490
1879
+ median and for right skewed the mean is greater
1880
+
1881
+ 471
1882
+ 00:38:37,490 --> 00:38:43,370
1883
+ than the median ูŠุนู†ูŠ ู…ุนู†ุงู‡ ูƒุฏู‡ for left skewed
1884
+
1885
+ 472
1886
+ 00:38:43,370 --> 00:38:45,130
1887
+ skewness
1888
+
1889
+ 473
1890
+ 00:38:51,970 --> 00:38:55,130
1891
+ ุงู„ุงุณุชุฎุฏุงู… ูŠูƒูˆู† ู…ูˆุฌุจ ุงูˆ ุณุงู„ุจ ุนู„ู‰ ุญุณุจูƒ ุงู„ุงุณุชุฎุฏุงู…
1892
+
1893
+ 474
1894
+ 00:38:55,130 --> 00:39:00,990
1895
+ ูŠูƒูˆู† ู†ูŠุฌุงุชูŠุจ ูˆุงู„ุงุณุชุฎุฏุงู… ูŠุตุจุญ
1896
+
1897
+ 475
1898
+ 00:39:00,990 --> 00:39:01,390
1899
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1900
+
1901
+ 476
1902
+ 00:39:01,390 --> 00:39:05,530
1903
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1904
+
1905
+ 477
1906
+ 00:39:05,530 --> 00:39:06,350
1907
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1908
+
1909
+ 478
1910
+ 00:39:06,350 --> 00:39:06,370
1911
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1912
+
1913
+ 479
1914
+ 00:39:06,370 --> 00:39:07,490
1915
+ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ ุงู…ุฑูŠูƒูŠ
1916
+
1917
+ 480
1918
+ 00:39:07,490 --> 00:39:15,430
1919
+ ุงู…ุฑูŠูƒูŠ ุง
1920
+
1921
+ 481
1922
+ 00:39:18,590 --> 00:39:24,990
1923
+ ู‡ูŠ ุงูŠู‡ุŸ Symmetric B skewed to the left C skewed to
1924
+
1925
+ 482
1926
+ 00:39:24,990 --> 00:39:28,310
1927
+ the right which one suspected to have an outlier?
1928
+
1929
+ 483
1930
+ 00:39:29,670 --> 00:39:37,430
1931
+ B and C ู‡ุฐุง ุงูŠู‡ุŸ A B and C which one has outlier?
1932
+
1933
+ 484
1934
+ 00:39:38,590 --> 00:39:45,130
1935
+ A and C could be outlier exist in these two graphs
1936
+
1937
+ 485
1938
+ 00:39:46,090 --> 00:39:50,130
1939
+ ู„ูƒู† ุงุฐุง ูƒุงู† ู„ุฏูŠูƒ ู…ุฌู…ูˆุนุฉ ู…ุชุณุงูˆู…ุฉ ูู‡ุฐุง ูŠุนู†ูŠ ุงู†
1940
+
1941
+ 486
1942
+ 00:39:50,130 --> 00:39:55,690
1943
+ ุงู„ุงุฎุชู„ุงูุงุช ู„ูŠุณุช ู…ูˆุฌูˆุฏุฉ ูู„ู„ู…ุฌู…ูˆุนุฉ ุงู„ู…ุชุณุงูˆู…ุฉ
1944
+
1945
+ 487
1946
+ 00:39:55,690 --> 00:39:59,730
1947
+ ุงู„ุจูŠุงู†ุงุช ุฎู„ุงุตุฉ ู…ู† ุงู„ุฎู„ุงุทุงุช ุงู„ุฎุงุฑุฌูŠุฉ ู…ููŠุด ููŠู‡ุง
1948
+
1949
+ 488
1950
+ 00:39:59,730 --> 00:40:05,870
1951
+ ุฎู„ุงุทุงุช ุฎุงุฑุฌูŠุฉ ุงู†ุง ุณุฃุชูˆู‚ู ู‡ู†ุง ูˆ ููŠ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู†
1952
+
1953
+ 489
1954
+ 00:40:05,870 --> 00:40:11,050
1955
+ ุดุงุก ุงู„ู„ู‡ ุณู†ุณุชู…ุฑ ููŠ ู…ุดุงู‡ุฏุฉ ู…ุฌู…ูˆุนุงุช ุงู„ุชุณุงูˆู…ุฉ
1956
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/m65gY_YCKcQ_raw.json ADDED
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1
+ 1
2
+ 00:00:21,240 --> 00:00:23,720
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ
4
+
5
+ 2
6
+ 00:00:23,720 --> 00:00:28,660
7
+ Chapter ุฌุฏูŠุฏุŒ this chapter is the main chapter in
8
+
9
+ 3
10
+ 00:00:28,660 --> 00:00:31,880
11
+ this courseุŒ it talks about fundamentals of
12
+
13
+ 4
14
+ 00:00:31,880 --> 00:00:35,500
15
+ hypothesis testing. ููŠ chapter 9 we are talking
16
+
17
+ 5
18
+ 00:00:35,500 --> 00:00:40,560
19
+ about just one sample test. ู‡ุฐุง ูˆุงุญุฏ ู…ู† ุงู„ู…ูˆุถูˆุนุงุช
20
+
21
+ 6
22
+ 00:00:40,560 --> 00:00:45,320
23
+ ุจุงู„ู†ุณุจุฉ ู„ูŠ ุฃู†ู‡ุง ู…ู‡ู…ุฉ ุฌุฏุง. ููŠ ุงู„ุญุตุฉ ู‡ุฃุนุทูŠ ู…ู‚ุฏู…ุฉ ุจุงู„ู„ุบุฉ
24
+
25
+ 7
26
+ 00:00:45,320 --> 00:00:48,220
27
+ ุงู„ุนุฑุจูŠุฉ ุชู…ุงู…ุง ุงู„ุขู†ุŒ ุนุดุงู† ุชุนุฑููˆุง ุฅูŠุด ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡
28
+
29
+ 8
30
+ 00:00:48,220 --> 00:00:54,100
31
+ ู…ู† chapter 9 ู„ุบุงูŠุฉ ู…ุง ู†ุฎู„ุตุŒ ุฃุณุงุณุง ู†ูู‡ู… ุฅูŠุด ุงู„... ุงู„
32
+
33
+ 9
34
+ 00:00:54,100 --> 00:00:57,140
35
+ ...ุงู„ concepts ุฃูˆ ุงู„ fundamentals ุงู„ู„ูŠ ุงุญู†ุง ู‡ู†ุงุฎุฏู‡ุง ููŠ
36
+
37
+ 10
38
+ 00:00:57,140 --> 00:01:02,540
39
+ chapter 9. ููŠ ุงู„ุฃูˆู„ hypothesis ู…ุนู†ุงู‡ุง ุฅูŠุดุŸ ูุฑุถูŠุฉ. ูู‡ุฐู‡
40
+
41
+ 11
42
+ 00:01:02,540 --> 00:01:10,560
43
+ ุนุจุงุฑุฉ ุนู† ูุฑุถูŠุฉ. ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ fundamental ุฃุณุงุณูŠุฉ
44
+
45
+ 12
46
+ 00:01:10,560 --> 00:01:14,760
47
+ ุฃุณุงุณูŠุงุช
48
+
49
+ 13
50
+ 00:01:14,760 --> 00:01:19,020
51
+ ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉุŒ ู‡ุฃุนุทูŠูƒ
52
+
53
+ 14
54
+ 00:01:19,020 --> 00:01:23,490
55
+ ุนุฏุฉ ุฃู…ุซู„ุฉ ุงู„ุขู†. ุงู„ู„ูŠ ุฃู†ุง ู‡ุฃูุชุฑุถู‡ุŒ ู‡ุฃุนุทูŠ ุฃู…ุซู„ุฉ ู…ุฎุชู„ูุฉุŒ ุจุณ
56
+
57
+ 15
58
+ 00:01:23,490 --> 00:01:29,890
59
+ ุฃุบู„ุจู‡ุง ููŠ ุงู„ business. ู†ูุชุฑุถ ุฏุฎู„ุช ุดุฑูƒุฉ ู…ุนูŠู†ุฉุŒ ูˆู…ุฏูŠุฑ
60
+
61
+ 16
62
+ 00:01:29,890 --> 00:01:36,590
63
+ ุงู„ุดุฑูƒุฉ ุจูŠุชุฏุนูŠ ุฃู† ู…ุชูˆุณุท ุนุฏุฏ ู…ุซู„ุง ุงู„ laptops ุงู„ุญุตูˆู…ูŠ
64
+
65
+ 17
66
+ 00:01:36,590 --> 00:01:41,330
67
+ ุงู„ู„ูŠ ุจุชุจูŠุนู‡ ุงู„ุดุฑูƒุฉุŒ ุงู„ laptopsุŒ ู†ูุชุฑุถ ุจูŠุณุงูˆูŠ 50 ุฌู‡ุงุฒ
68
+
69
+ 18
70
+ 00:01:41,330 --> 00:01:47,550
71
+ ููŠ ุงู„ุณูˆู‚. ุฃู†ุช ุนุงูŠุฒ ุชุฎุชุจุฑ ู…ุฏู‰ ุตุฏู‚ ู‡ุฐุง ุงู„ุงุฏุนุงุกุŒ ูŠุนู†ูŠ
72
+
73
+ 19
74
+ 00:01:47,550 --> 00:01:51,570
75
+ ููŠ claim ู…ุนูŠู†ุŒ ุฅู† ุงู„ู…ุฏูŠุฑ ุจูŠุญูƒูŠ ุฅู†ู‡ ุจูŠูˆุตู„ ู…ุจูŠุนุงุชู‡ ุฎู„ุงู„
76
+
77
+ 20
78
+ 00:01:51,570 --> 00:01:55,830
79
+ ุงู„ุฃุณุจูˆุน ู…ู† ุฃุฌู‡ุฒุฉ ุงู„ laptop 50 ุฌู‡ุงุฒ ุฃูˆ 100
80
+
81
+ 21
82
+ 00:01:55,830 --> 00:01:59,670
83
+ ุฌู‡ุงุฒ. ุฃู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑ ุฅุฐุง ูƒุงู† ุงุฏุนุงูˆู‡ ุณู„ูŠู…ุŒ ุฅุฐุง ู‡ูˆ ู…ุด
84
+
85
+ 22
86
+ 00:01:59,670 --> 00:02:06,550
87
+ ุจูŠุฎุชุจุฑ ุฅู†ู‡ ุนู†ุฏู‡ ุญุตูŠู„ุฉ ููŠ ุงู„ุฃุณุจูˆุน ุจูŠุจูŠุน 100 laptop
88
+
89
+ 23
90
+ 00:02:06,550 --> 00:02:11,090
91
+ ุฃู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑ ุฅุฐุง ูƒุงู†ุช ูƒู„ุงู…ู‡ ุตุญ ุฃูˆ ุบูŠุฑ ุณู„ูŠู…ุŒ ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:11,090 --> 00:02:17,670
95
+ ุฃู†ุง ุจุชูƒู„ู… ุนู† ู…ูŠู†ุŸ ุฅู† ุงู„ mean ุจูŠุณุงูˆูŠ ู†ูุชุฑุถ 100. ุฃู†ุง
96
+
97
+ 25
98
+ 00:02:17,670 --> 00:02:23,650
99
+ ู‡ุฃุฎุชุจุฑ ุงู„ mean ุจูŠุณุงูˆูŠ 100 ุฃูˆ ู…ู‚ุงุจู„ู‡ุงุŒ ูŠุงุด ู…ู…ูƒู† ูƒู„ุงู…ู‡
100
+
101
+ 26
102
+ 00:02:23,650 --> 00:02:28,910
103
+ ู…ุด ุตุญ. ุฅู† ุงู„ mean ุจูŠุฎุชู„ู ุนู† 100ุŒ ูŠุนู†ูŠ ุงู„ mean ุงูŠู‡ุŸ ุฏูŠ
104
+
105
+ 27
106
+ 00:02:28,910 --> 00:02:32,970
107
+ ู…ุนู†ุงู‡ุง ู„ุง ุจูŠุณุงูˆูŠุŒ not equal 100. ุฃู†ุง ู…ุด ุนุงุฑู ุฃูƒุชุฑ ูˆู„ุง
108
+
109
+ 28
110
+ 00:02:32,970 --> 00:02:37,830
111
+ ุฃู‚ู„. ุฃู†ุง ุจุฏูŠ ุงุฎุชุจุฑ ุงู„ mean ู„ุง ุจูŠุณุงูˆูŠ 100. ู‡ุฃุนุทูŠูƒ ู…ุซุงู„
112
+
113
+ 29
114
+ 00:02:37,830 --> 00:02:42,470
115
+ ุขุฎุฑ. ุงู„ู„ูŠ ุฃู†ุง ู‡ุฃูุชุฑุถู‡ุŒ ุงู„ู…ุฏูŠุฑ ู†ูุณู‡ ุจูŠุญูƒูŠ ุฅู†ู‡ ู†ูุชุฑุถ ููŠ
116
+
117
+ 30
118
+ 00:02:42,470 --> 00:02:48,910
119
+ ุนู†ุฏู‡ machines ุฌุฏูŠุฏุฉุŒ ุขู„ูŠุงุช ุฌุฏูŠุฏุฉ ู„ู„ุฅู†ุชุงุฌ. ู†ูุชุฑุถ ุงู„ุฒู…ู†
120
+
121
+ 31
122
+ 00:02:48,910 --> 00:02:54,270
123
+ ุงู„ู„ุงุฒู… ุณุงุจู‚ุง ูƒุงู† ู„ุฅู†ุชุงุฌ ู…ู†ุชุฌ ู…ุนูŠู†ุŒ ุชุบู„ูŠู ุฃูˆ ู…ุดุงุจู‡
124
+
125
+ 32
126
+ 00:02:54,270 --> 00:03:00,230
127
+ ู†ูุชุฑุถ ุจูŠุณุงูˆูŠ 10 minutes. ู‡ูˆ ุงู„ุขู† ุจูŠุฏุนูŠ ุฃู† ู…ุชูˆุณุท
128
+
129
+ 33
130
+ 00:03:00,230 --> 00:03:06,700
131
+ ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ุฃูุถู„ุŒ ุฅุฐุง ููŠ ุงู„ุฃูˆู„ ุงู„ mean ุจูŠุณุงูˆูŠ ู†ูุชุฑุถ
132
+
133
+ 34
134
+ 00:03:06,700 --> 00:03:10,780
135
+ 10 minutes ุนุดุฑุฉ. ุงู„ุขู† ู‡ูˆ ุจูŠุฏุนูŠ ู„ู„ุฏุนุงูŠุฉ ุชุจุนู‡ ุฅู†
136
+
137
+ 35
138
+ 00:03:10,780 --> 00:03:15,280
139
+ ุงู„ mean ู…ุงู„ู‡ ุงู„ุขู†ุŸ ุงู„ูˆุถุน ุฃูุถู„. ุฅู† ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡
140
+
141
+ 36
142
+ 00:03:15,280 --> 00:03:22,500
143
+ ุงู„ุชุบู„ูŠู ุฃูˆ ุงู„ุชุนุจุฆุฉ ุชุจุนู‡ู… ุฃูุถู„. ุฅูŠุด ู…ุนู†ู‰ ุฃูุถู„ุŸ ุดูˆู
144
+
145
+ 37
146
+ 00:03:22,500 --> 00:03:26,940
147
+ ุงู„ุขู† ุฃูุถู„. ุจุญูƒูŠ ุฅู† ุงู„ุฒู…ู† ูˆู‚ุช ุฃูƒุซุฑ ู…ู† ุนุดุฑุฉุŒ ุญูŠูƒูˆู† ุฃู‚ู„ ู…ู†
148
+
149
+ 38
150
+ 00:03:26,940 --> 00:03:30,640
151
+ ุนุดุฑุฉ ุงู„ุขู†.
152
+
153
+ 39
154
+ 00:03:30,640 --> 00:03:35,370
155
+ ู†ูุชุฑุถ ุงู„ู…ุฏูŠุฑ ู†ูุณู‡ ุจูŠุญูƒูŠ ุฅู†ู‡ ู…ุชูˆุณุท ุฅู†ุชุงุฌ ุงู„ุนู…ุงู„ ุนู†ุฏู‡
156
+
157
+ 40
158
+ 00:03:35,370 --> 00:03:45,470
159
+ ุจุนุฏ ู…ุง ุฃุฎุฐูˆุง ุฏูˆุฑุฉ ุชุฏุฑูŠุจูŠุฉ ุงุชุญุณู† ุงู„ุงู†ุชุงุฌ. ุชุญุณู†ุŒ ู…ูุชุฑุถ
160
+
161
+ 41
162
+ 00:03:45,470 --> 00:03:50,890
163
+ ุงู„ mean ูƒุงู† ุจูŠุณุงูˆูŠ 50. ุญุฒูŠู†ุŒ ุญุฒูŠู†. ู…ุนู†ู‰ ุชุญุณู† ูŠุนู†ูŠ
164
+
165
+ 42
166
+ 00:03:50,890 --> 00:03:51,310
167
+ ุญุฒูŠู†.
168
+
169
+ 43
170
+ 00:03:54,880 --> 00:03:58,060
171
+ ูŠุนู†ูŠ ู…ุฑุฉ ูƒุงู† ู„ุง ูŠุณุงูˆูŠุŒ ุฃู†ุช ู…ุด ุนุงุฑู ุงุชุฌู‡ ุชุจู‚ู‰ ุฃูƒุจุฑ
172
+
173
+ 44
174
+ 00:03:58,060 --> 00:04:03,220
175
+ ูˆู„ุง ุฃู‚ู„. ู…ุฑุฉ ุงุชุญุณู†ุŒ ูˆู‡ูŠ ุงุชุญุณู†ุŒ ู„ุงุญุธูˆุง ุจุณุŒ ุงู„ุงุชุญุณู† ู…ุด
176
+
177
+ 45
178
+ 00:04:03,220 --> 00:04:07,040
179
+ ู…ุนู†ุงู‡ุง ุฏุงุฆู…ุง ุฃูƒุจุฑ. ุฃูุถู„ ุนู„ู‰ ุญุณุจูƒ ูˆุงู„ู„ู‡ุŒ ุฅุฐุง ูƒุงู† ุฒู…ู†
180
+
181
+ 46
182
+ 00:04:07,040 --> 00:04:11,820
183
+ ู„ุงุฒู… ู„ุง ูŠุชุฌุงูˆุฒ skill ู…ุนูŠู†ุฉุŒ ููƒุงู† ูƒู„ ู…ุง ูƒุงู† ุฃูุถู„ ูƒู„ ู…ุง
184
+
185
+ 47
186
+ 00:04:11,820 --> 00:04:17,100
187
+ ูƒุงู† ุฃู‚ู„. ู„ูƒู† ุจุญูƒูŠ ูˆุญุฏุงุช ู…ุจูŠุนุฉุŒ ู„ู…ุง ุจุญูƒูŠ ู…ุณุชูˆู‰
188
+
189
+ 48
190
+ 00:04:17,100 --> 00:04:21,500
191
+ ุงู„ู…ูˆุธููŠู† ุงุชุญุณู† ููŠ ุงู„ู…ุจูŠุนุงุช. ู…ุน ูƒุฏู‡ ุงู„ sales person
192
+
193
+ 49
194
+ 00:04:21,500 --> 00:04:25,320
195
+ ุจุฏุง ูŠุจูŠุนุŒ ูŠุจูŠุน ุฃูุถู„. ู…ุน ูƒุฏู‡ ู…ุณุชูˆู‰ ู…ุงู†ูˆ ุชุญุณู†ุŒ ูŠุนู†ูŠ
196
+
197
+ 50
198
+ 00:04:25,320 --> 00:04:29,680
199
+ ุฃูƒุจุฑ. ุฅุฐุง ุจุญูƒูŠุช ุฃูƒุจุฑ ูˆุฃู‚ู„ ุจุนุฑูู‡ุง ู…ู† ูˆุตูŠูุฉ ุงู„ู…ุซู„ุฉ.
200
+
201
+ 51
202
+ 00:04:29,680 --> 00:04:32,440
203
+ ู„ูƒู† ููŠ ุงู„ุขุฎุฑูŠู† ู…ุง ุญุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ุŒ ู…ู‚ุงุจู„ู†ุง ู„ุง
204
+
205
+ 52
206
+ 00:04:32,440 --> 00:04:39,900
207
+ ูŠุณุงูˆูŠ. ููƒู„ ุญุงุฌุฉ ุจุนู…ู„ู‡ุŒ ู…ูุชุฑุถ ุฏุฎู„ุช ุณุงุญุฉ ุงู„ุฌุงู…ุนุฉุŒ ูˆ
208
+
209
+ 53
210
+ 00:04:39,900 --> 00:04:45,400
211
+ ุจุฏุฃุช ุฃุณุฃู„ ุงู„ุทู„ุจุฉ ุฅูŠุด ุฑุฃูŠูƒู… ููŠ ุงู„ุฃุญุฏุงุซ ุงู„ุฃุฎูŠุฑุฉุŸ ู…ุน
212
+
213
+ 54
214
+ 00:04:45,400 --> 00:04:54,790
215
+ ุฃูˆ ุถุฏุŸ ู†ูุชุฑุถ ุฃู†ุง ุนู†ุฏูŠ ุงุฏุนุงุก ุฅู† ุงู„ proportion ู„ู„ูŠ
216
+
217
+ 55
218
+ 00:04:54,790 --> 00:05:01,110
219
+ ู…ุน ุงู„ุฃุญุฏุงุซ ุฏู‡ 50%. ุฏู‡ ุญูƒูŠ 50%. ุฅุฐุง ุงู„ proportion
220
+
221
+ 56
222
+ 00:05:01,110 --> 00:05:06,690
223
+ ู…ุด ุจุชุณุงูˆูŠ ู†ุตุŒ ุจูŠุณุงูˆูŠุŸ
224
+
225
+ 57
226
+ 00:05:06,690 --> 00:05:14,250
227
+ ู†ูุชุฑุถ ููŠ ุงุฏุนุงุก ู…ู† ุญุฒุจ ู…ุนูŠู†ุŒ ุฅู† ุฃูƒุชุฑ ู…ู† ู†ุต ุงู„ุณูƒุงู†
228
+
229
+ 58
230
+ 00:05:14,250 --> 00:05:22,560
231
+ ุจูŠุญูƒูˆุง ุงู„ูˆุถุน ุณูŠุฆุฉ. ูุนุงูŠุฒ ุฃุฎุชุจุฑ ุฃูƒุจุฑ ู…ู† ู†ุตุŒ ู…ุธุจูˆุทุŸ ุฃูˆ
232
+
233
+ 59
234
+ 00:05:22,560 --> 00:05:27,340
235
+ ู…ู…ูƒู† ูˆุงุญุฏุฉ ูŠุญูƒูŠ ุฅู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ู…ุน ุงู„ุฃุญุฏุงุซ ุงู„ุฃุฎูŠุฑุฉ
236
+
237
+ 60
238
+ 00:05:27,340 --> 00:05:32,300
239
+ ุฃู‚ู„ ู…ู† ู†ุตุŒ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† 50% ู…ู† ุงู„ุณูƒุงู† ู…ุน ุงู„ุฃุญุฏุงุซุŒ
240
+
241
+ 61
242
+ 00:05:32,300 --> 00:05:35,880
243
+ ุจุฃูŠุฏุŒ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ู†ุต. ูˆุงุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠุŒ ุฃู†ุง ู…ุด ุนุงุฑู
244
+
245
+ 62
246
+ 00:05:35,880 --> 00:05:39,480
247
+ ู…ุนู†ู‰ ู…ุด ุนุงุฑู ูŠุนู†ูŠ ุฅูŠุดุŸ ู„ุง ูŠุณุงูˆูŠุŒ ู„ุฅู† ุฃู†ุง ู…ุด ุนุงุฑู
248
+
249
+ 63
250
+ 00:05:39,480 --> 00:05:44,260
251
+ ุฃุญุฏุฏ ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„. ูู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู„ูŠ ุฃู†ุง ุจุนู…ู„ู‡ testing
252
+
253
+ 64
254
+ 00:05:44,260 --> 00:05:49,400
255
+ ุฅู…ุง ูŠูƒูˆู† ุนู„ู‰ ุงู„ mean ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุงู„ proportion. ุทูŠุจ
256
+
257
+ 65
258
+ 00:05:49,400 --> 00:05:54,600
259
+ ุฎู„ูŠู†ูŠ ุฃุณุฃู„ ู†ู‚ุทุฉ ุฃุฎุฑู‰ุŒ ุนุดุงู† ุฃุจุฏุฃ ุฃุดุฑุญู‡ุงุŒ ุงู„ testing
260
+
261
+ 66
262
+ 00:05:54,600 --> 00:05:59,520
263
+ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ู„ู„ population ูˆู„ู„ sampleุŒ ุฃู†ุง ุจุนู…ู„
264
+
265
+ 67
266
+ 00:05:59,520 --> 00:06:04,460
267
+ ุฏุงุฆู…ุง ุงุฎุชุจุงุฑ ู„ุดูŠุก ู…ุฌู‡ูˆู„ุŒ ุฅู† ู‡ูˆ ุงู„ sample ุงู„ู„ูŠ ููŠ ุฅูŠุฏูƒ
268
+
269
+ 68
270
+ 00:06:04,460 --> 00:06:12,280
271
+ ู…ุธุจูˆุท. ุฎู„ูŠู†ูŠ ุฃุฎุฏ ุฑุฃูŠ ุงู„ู†ุงุณุŒ ุจุฃุฎุฏ ุฌุฒุกุŒ ุจุฃุฎุฏ ุฌุฒุก
272
+
273
+ 69
274
+ 00:06:12,280 --> 00:06:16,100
275
+ ูˆุนุงูŠุฒ ุฃุนู…ู„ ุฌุฒุกุŒ ุฃุนู…ู„ ู…ุนุงู…ู„ุฉ ุนู„ู‰ ุงู„ูƒู„ุŒ ูุจุงู„ุชุงู„ูŠ ุจุนู…ู„
276
+
277
+ 70
278
+ 00:06:16,100 --> 00:06:19,440
279
+ ุฏุงุฆู…ุง testing about population parameter ู„ู„ู…ุฌุชู…ุน
280
+
281
+ 71
282
+ 00:06:19,440 --> 00:06:25,660
283
+ ู†ูุณู‡. ุงู„ู…ุฌุชู…ุน is unknownุŒ ู…ุธุจูˆุทุŸ ูุจุงู„ุชุงู„ูŠ ูƒู„ ุงู„
284
+
285
+ 72
286
+ 00:06:25,660 --> 00:06:28,300
287
+ testing ุชุจุนู†ุง should be about population parameter.
288
+
289
+ 73
290
+ 00:06:28,300 --> 00:06:32,560
291
+ ุฅุฐุง ูƒู„ ุงู„ู„ูŠ ู‡ู†ุนู…ู„ู‡ุŒ ู‡ูŠูƒูˆู† ููŠ ุนู†ุฏูƒ claim ู…ุนูŠู†ุŒ ูˆุนุงูŠุฒ ุฃุนู…ู„
292
+
293
+ 74
294
+ 00:06:32,560 --> 00:06:38,040
295
+ testing ู„ู‡. ู„ุญุธุฉุŒ ุฃูˆ ู„ุงุญุธุŒ ุฃู†ุง ู…ุฑุฉ ุญูƒูŠุช mean ุจูŠุณุงูˆูŠ 100
296
+
297
+ 75
298
+ 00:06:38,040 --> 00:06:41,260
299
+ ู…ู‚ุงุจู„ ู„ุง ูŠุณุงูˆูŠุŒ mean ุจูŠุณุงูˆูŠ 10 ู…ู‚ุงุจู„ ุฃู‚ู„ุŒ mean ุจูŠุณุงูˆูŠ
300
+
301
+ 76
302
+ 00:06:41,260 --> 00:06:44,340
303
+ 50 ู…ู‚ุงุจู„ ุฃูƒุจุฑ. ูุจุนู…ู„ testing ู„ two hypotheses
304
+
305
+ 77
306
+ 00:06:44,340 --> 00:06:49,500
307
+ ูˆุงุญุฏุฉ ู‡ู†ุณู…ูŠู‡ุง ุจุงุณู… null hypothesis. null ูŠุนู†ูŠ ูุฑุถูŠุฉ
308
+
309
+ 78
310
+ 00:06:49,500 --> 00:06:52,460
311
+ ุตูุฑูŠุฉุŒ ูˆุงู„ุชุงู†ูŠุฉ ุจู†ุณู…ูŠู‡ุง alternative hypothesis ูุฑุถูŠุฉ
312
+
313
+ 79
314
+ 00:06:52,460 --> 00:06:56,480
315
+ ู…ุฏูŠู„ุฉ. ููƒู„ ู…ุง ู‡ู†ุนู…ู„ู‡ ู‡ูˆ testing about two
316
+
317
+ 80
318
+ 00:06:56,480 --> 00:07:01,500
319
+ parameters: population mean ูˆ population proportion.
320
+
321
+ 81
322
+ 00:07:01,500 --> 00:07:04,380
323
+ ูˆู‡ุฏูˆู„ ุงู„ุงุชู†ูŠู† ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุจุงู„ุชูุตูŠู„ ููŠ chapter ูˆูŠู†ุŸ
324
+
325
+ 82
326
+ 00:07:04,380 --> 00:07:06,680
327
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
328
+
329
+ 83
330
+ 00:07:06,680 --> 00:07:08,920
331
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
332
+
333
+ 84
334
+ 00:07:08,920 --> 00:07:11,480
335
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
336
+
337
+ 85
338
+ 00:07:11,480 --> 00:07:14,900
339
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
340
+
341
+ 86
342
+ 00:07:14,900 --> 00:07:15,860
343
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
344
+
345
+ 87
346
+ 00:07:15,860 --> 00:07:16,340
347
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
348
+
349
+ 88
350
+ 00:07:16,340 --> 00:07:17,400
351
+ ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ. ุณุจุนุฉ
352
+
353
+ 89
354
+ 00:07:23,150 --> 00:07:26,830
355
+ ู„ู„ population parameters. ุฎู„ุงุตุŸ ุฅุฐุง ุงู„ุชูˆุฒูŠุน ุงู„ู…ุนูŠู†
356
+
357
+ 90
358
+ 00:07:26,830 --> 00:07:29,410
359
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ุŒ ุจุนู…ู„ู‡ ู„ู„ mean ุชุจุน ุงู„ sample
360
+
361
+ 91
362
+ 00:07:29,410 --> 00:07:33,110
363
+ ุฃูˆ ุงู„ proportion ุชุจุน ุงู„ sample. ู‡ู†ุง ุจุนู…ู„ ู„ู„ mean ู„ู„
364
+
365
+ 92
366
+ 00:07:33,110 --> 00:07:37,190
367
+ population ูƒูƒู„ุŒ ุนุดุงู† ุฃู…ูŠุฒ ุจูŠู† ุงู„ุงุชู†ูŠู†. ุฎู„ุงุตุŸ ู‡ุฐู‡ ู…ู‚ุฏู…ุฉ
368
+
369
+ 93
370
+ 00:07:37,190 --> 00:07:41,110
371
+ ูƒุงู† ู„ุงุจุฏ ู…ู†ู‡ุง. ุฅุฐุง ุฃู†ุช ุนู†ุฏูƒ ุชุตูˆุฑ ู…ุนูŠู† ุนู† ุงู„ู…ูˆุถูˆุน
372
+
373
+ 94
374
+ 00:07:41,110 --> 00:07:48,610
375
+ ุงู„ู„ูŠ ุฃู†ุง ู‡ุจุฏุฃ ุฃุดุฑุญู‡. ู‡ู†ุงูƒ ุฎู…ุณ ุงู‡ุชู…ุงู…ุงุช ุณู†ุบุทูŠ ููŠ ู‡ุฐู‡
376
+
377
+ 95
378
+ 00:07:48,610 --> 00:07:52,730
379
+ ุงู„ุฏุฑุงุณุฉ. ูู‚ุท ุงู„ุฃูˆู„ ุซู„ุงุซุฉ ุงู„ุฃุณุงุณูŠูŠู† ู„ู„ุชุฌุงุฑุจ
380
+
381
+ 96
382
+ 00:07:52,730 --> 00:07:57,710
383
+ ุงู„ู‡ูŠุจูˆุทูŠุณูŠุฉ. ุงู„ูŠูˆู… ุณู†ุบุทูŠ ู‡ุฐู‡ ุงู„ุงู‡ุชู…ุงู…ุงุช. ุงู„ุซุงู†ูˆูŠุฉ ู‡ูŠ
384
+
385
+ 97
386
+ 00:07:57,710 --> 00:08:00,830
387
+ ูƒูŠู ุชุณุชุฎุฏู… ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุทูŠุณูŠุฉ ู„ุชุฌุงุฑุจ mean ุฃูˆ ุชุฌุงุฑุจ
388
+
389
+ 98
390
+ 00:08:00,830 --> 00:08:02,450
391
+ ุชุฌุงุฑุจ mean ุฃูˆ ุชุฌุงุฑุจ ุชุฌุงุฑุจ mean ุฃูˆ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
392
+
393
+ 99
394
+ 00:08:02,450 --> 00:08:05,590
395
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
396
+
397
+ 100
398
+ 00:08:05,590 --> 00:08:05,630
399
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
400
+
401
+ 101
402
+ 00:08:05,630 --> 00:08:08,340
403
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ mean
404
+
405
+ 102
406
+ 00:08:08,340 --> 00:08:12,240
407
+ and population mean. So indeed we are
408
+
409
+ 103
410
+ 00:08:12,240 --> 00:08:14,260
411
+ talking about population mean and population
412
+
413
+ 104
414
+ 00:08:14,260 --> 00:08:18,520
415
+ proportion. Number threeุŒ the assumptions of each
416
+
417
+ 105
418
+ 00:08:18,520 --> 00:08:21,680
419
+ hypothesis testing procedure. ุฅูŠุด ุงู„ูุฑุถูŠุงุช ุงู„ู„ุงุฒู…ุฉ
420
+
421
+ 106
422
+ 00:08:21,680 --> 00:08:24,940
423
+ ุฃูˆ ุงู„ุงูุชุฑุงุถุงุชุŸ How to evaluate themุŸ ูƒูŠู ู…ู…ูƒู† ู†ุนู…ู„
424
+
425
+ 107
426
+ 00:08:24,940 --> 00:08:27,760
427
+ ุนู…ู„ูŠุฉ ุชู‚ูŠูŠู… ู„ู‡ู…ุŒ and the consequences. ุฅูŠุด ุจุนุฏ ุงู„
428
+
429
+ 108
430
+ 00:08:27,760 --> 00:08:33,340
431
+ consequencesุŒ ุงู„ุขุซุงุฑุŒ if they are seriously violated.
432
+
433
+ 109
434
+ 00:08:33,340 --> 00:08:40,740
435
+ ูŠุนู†ูŠ ุฅูŠุด ู…ู…ูƒู† ูŠุญุตู„ ุฅุฐุง ุชู… violatedุŒ ูŠุนู†ูŠ ุงุฎุชุฑู‚ ุฃูˆ
436
+
437
+ 110
438
+ 00:08:40,740 --> 00:08:47,080
439
+ ุงู†ุชู‡ุงูƒุŒ ุจุณ ุจุดูƒู„ seriouslyุŒ ูŠุนู†ูŠ ุจุดูƒู„ ู‚ูˆูŠ. ู‡ุฏูˆู„ ุงู„
440
+
441
+ 111
442
+ 00:08:47,080 --> 00:08:49,020
443
+ three objectives. We will start with the first one.
444
+
445
+ 112
446
+ 00:08:49,020 --> 00:08:54,780
447
+ We will start with definition of hypothesis. ู„ุญุธุฉ
448
+
449
+ 113
450
+ 00:08:54,780 --> 00:08:58,740
451
+ ุญุณุจ ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠุชู‡ุŒ ุงู„ definition ุณุชูƒูˆู† ุณู‡ู„ุฉ. What
452
+
453
+ 114
454
+ 00:08:58,740 --> 00:09:02,960
455
+ is a hypothesisุŸ ู…ุงุฐุง ู†ู‚ุตุฏ ุจุงู„ูุฑุถูŠุฉุŸ A hypothesis is
456
+
457
+ 115
458
+ 00:09:02,960 --> 00:09:10,300
459
+ a claim. Claim ู…ุนู†ุงู‡ุง ุงุฏุนุงุก ุฃูˆ assertion. ... assertion
460
+
461
+ 116
462
+ 00:09:10,300 --> 00:09:18,820
463
+ ุชุฃูƒูŠุฏ about population parameter. ุฒู…ุงู† ูƒุฏู‡ ุนุจุงุฑุฉ ุนู†
464
+
465
+ 117
466
+ 00:09:18,820 --> 00:09:24,660
467
+ ุงูุชุฑุงุถูŠุฉ about claim about ู…ูŠู†ุŸ Population parameter
468
+
469
+ 118
470
+ 00:09:24,660 --> 00:09:29,520
471
+ ุญูˆู„ ุงู„ parameter ู„ู…ูŠู†ุŸ ู„ู„ population. For example, if
472
+
473
+ 119
474
+ 00:09:29,520 --> 00:09:34,050
475
+ you are talking about population mean. ู…ุซู„ู‹ุงุŒ ู‚ุงู†ูˆู†
476
+
477
+ 120
478
+ 00:09:34,050 --> 00:09:42,450
479
+ ุงู„ู‡ุงุชู ุงู„ุฃุณุงุณูŠ ููŠ ู‡ุฐู‡ ุงู„ู…ุฏูŠู†ุฉ 42$. ุจูŠุญูƒูŠ... ุจุชุนุฑููˆุง
480
+
481
+ 121
482
+ 00:09:42,450 --> 00:09:52,330
483
+ ุงู„ cell phoneุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ cell ูˆ ุงู„ phone ุงุฎุชุตุงุฑ
484
+
485
+ 122
486
+ 00:09:52,330 --> 00:09:56,970
487
+ ุจูŠุนุทูŠู‡ุง cell. ุงู„ cell phoneุŒ ุจุชุนุฑููˆุง ุงู„ build ุณุจุนุชู‡ุŒ ูˆ
488
+
489
+ 123
490
+ 00:09:56,970 --> 00:10:00,050
491
+ ุจูŠุญูƒูŠ ููŠ ุงู„ู…ุชูˆุณุท ููŠ ุงู„ู…ุฏูŠู†ุฉ ูƒู„ู‡ุงุŒ ุจูŠุญูƒูŠ ุนู„ู‰ ุงู„
492
+
493
+ 124
494
+ 00:10:00,050 --> 00:10:04,940
495
+ entire population. ุงู„ูุงุชูˆุฑุฉ ุชุฌูŠ ุนู„ู‰ ุงู„ุฌูˆุงู„ ุญูˆุงู„ูŠ 42$.
496
+
497
+ 125
498
+ 00:10:04,940 --> 00:10:10,700
499
+ ุฅุฐุง ุงู„ุงุฏุนุงุก ุงู„ุขู†ุŒ ุงู„ mean equal 42$. ุงุชูƒู„ู… ุนู†
500
+
501
+ 126
502
+ 00:10:10,700 --> 00:10:14,820
503
+ population mean. ูƒูŠู ุนุฑูุช population meanุŸ ู…ุง ุญูƒุงุด
504
+
505
+ 127
506
+ 00:10:14,820 --> 00:10:20,540
507
+ ุงู„... ุงู„ูุงู† ุณู„ุจูŠ ู„... ู…ุซู„ุง ู„ู„ู†ุงุณ ุงู„ู„ูŠ ุนู…ุฑู‡ู… ู…ู† 25 ู„
508
+
509
+ 128
510
+ 00:10:20,540 --> 00:10:25,400
511
+ 45. ุญูƒู‰ ู„ู…ูŠู†ุŸ ู„ูƒู„ ุงู„ู†ุงุณุŒ ู„ูƒู„ ุงู„ cityุŒ ู„ูƒู„ ุงู„ุจู„ุฏ.
512
+
513
+ 129
514
+ 00:10:25,400 --> 00:10:27,700
515
+ ูุจุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ุจุญูƒูŠ ุนู„ู‰ ุงู„ population ู…ูŠู†ุŸ It is a
516
+
517
+ 130
518
+ 00:10:27,700 --> 00:10:31,080
519
+ miu equal 42. Keep in mind, hypothesis is a claim
520
+
521
+ 131
522
+ 00:10:31,080 --> 00:10:34,890
523
+ about population parameter. ุญุงูˆู„... ุงู„ population
524
+
525
+ 132
526
+ 00:10:34,890 --> 00:10:39,510
527
+ ุจุงุฑุงู…ุชุฑู‡ุง. Population proportion ุจุชูƒู„ู… ุนู† ู†ุณุจุฉ. For
528
+
529
+ 133
530
+ 00:10:39,510 --> 00:10:42,670
531
+ example, suppose the proportion of adults in this
532
+
533
+ 134
534
+ 00:10:42,670 --> 00:10:48,670
535
+ city with cell phones is 68%. ุจุญูƒูŠ ุจุงูุชุฑุงุถ ุฃู† ู†ุณุจุฉ
536
+
537
+ 135
538
+ 00:10:48,670 --> 00:10:53,610
539
+ ุงู„ุจุงู„ุบูŠู† ุงู„ู„ูŠ ุนู†ุฏู‡ู… cell phone ุจูŠุณุงูˆูŠ 68%. ุฅุฐุง ุฃู†ุง
540
+
541
+ 136
542
+ 00:10:53,610 --> 00:10:58,450
543
+ ุจุชูƒู„ู… ุนู„ู‰ population proportion. ุฅุฐุง ู‡ูŠ ุงู„ุดุบู„ุชูŠู†
544
+
545
+ 137
546
+ 00:10:58,450 --> 00:11:02,410
547
+ ุงู„ู„ูŠ ุนุงูŠุฒูŠู†ู‡ู…. ู…ุฑุฉ ุนู„ู‰ ู…ูŠู† ูˆู…ุฑุฉ ุนู„ู‰ ุงู„ population
548
+
549
+ 138
550
+ 00:11:02,410 --> 00:11:06,320
551
+ proportion. ุนุดุงู† ูƒุฏู‡ ูƒุงู† ุดุทุฑ ุงู„ุณุงุจุนุฉ ู…ุชูƒู„ู… ุฌุฒุก
552
+
553
+ 139
554
+ 00:11:06,320 --> 00:11:11,200
555
+ Sampling ู„ู„ู…ูŠู†ุŸ Sampling ู„ู„ู€ Sample Proportion. ุฅุฐุง
556
+
557
+ 140
558
+ 00:11:11,200 --> 00:11:14,820
559
+ ุงู„ hypothesis is a claim about a population
560
+
561
+ 141
562
+ 00:11:14,820 --> 00:11:19,440
563
+ parameter. Now, there is a new definition, it's
564
+
565
+ 142
566
+ 00:11:19,440 --> 00:11:23,460
567
+ called the null hypothesis. Null hypothesis ูŠุนู†ูŠ
568
+
569
+ 143
570
+ 00:11:23,460 --> 00:11:29,700
571
+ ุฅูŠุดุŸ Null hypothesisุŸ ูุฑุถูŠุฉ ุตูุฑูŠุฉ. ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉุŒ ุฅุฐุง
572
+
573
+ 144
574
+ 00:11:29,700 --> 00:11:33,020
575
+ ููŠ ุนู†ุฏูƒ ุฃูˆู„ definitionุŒ the null hypothesis
576
+
577
+ 145
578
+ 00:11:36,620 --> 00:11:41,240
579
+ ุงู„ null hypothesis is usually denoted by H sub
580
+
581
+ 146
582
+ 00:11:41,240 --> 00:11:48,520
583
+ zero. ุจู†ุนุทูŠู‡ุง ุฑู…ุฒ H0. H for hypothesis and zero for
584
+
585
+ 147
586
+ 00:11:48,520 --> 00:11:52,700
587
+ null ุงู„ู€
588
+
589
+ 148
590
+ 00:11:52,700 --> 00:12:00,380
591
+ null ุจุชุนู…ู„ ุงู„ claimุŒ ุจุชูƒุชุจ ุงู„ claim ุฃูˆ assertion
592
+
593
+ 149
594
+ 00:12:00,380 --> 00:12:05,220
595
+ to be tested. ุงู„ุงุฏุนุงุก ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑู‡ุŒ is an
596
+
597
+ 150
598
+ 00:12:05,220 --> 00:12:09,260
599
+ exclaim or assertion to be tested. For example, the
600
+
601
+ 151
602
+ 00:12:09,260 --> 00:12:16,560
603
+ mean diameter of manufactured bolt is 30 mm. So
604
+
605
+ 152
606
+ 00:12:16,560 --> 00:12:23,160
607
+ this means mu equal 30. ุจุญูƒูŠ ุฅู† ุงู„ diameter ุนุงุฑููŠู† ุฅูŠุด ู…ุนุงู‡ุŸ ุงู„ diameterุŒ ุงู„ู‚ุทุฑุŒ ุงู„ู‚ุทุฑ ู„ู…ูŠู†ุŸ ู„ู„ bolt. ู…ุนู†ุงู‡
608
+
609
+ 154
610
+ 00:12:28,160 --> 00:12:28,440
611
+ ุฅูŠุดุŸ
612
+
613
+ 155
614
+ 00:12:32,810 --> 00:12:39,390
615
+ ุฃูŠ ุตูˆุฑุฉ ุนู†ุฏูƒุŸ ุตูˆุฑุฉ ุจุชุณุงุนุฏูƒุŒ ุจุฑุบูŠ. Bolt ู…ุนู†ุงู‡ุง ุจุฑุบูŠ
616
+
617
+ 156
618
+ 00:12:39,390 --> 00:12:43,550
619
+ The mean diameter of manufacturing bolt is 30
620
+
621
+ 157
622
+ 00:12:43,550 --> 00:12:46,350
623
+ millimeter. ุญุชู‰ ูˆุฃู†ุง ู…ุด ุนุงุฑู ู…ุนู†ุงู‡ุง... ู…ุนู†ุงู‡ุง
624
+
625
+ 158
626
+ 00:12:46,350 --> 00:12:50,390
627
+ ุงู„ูƒู„ู…ุฉ ู…ู† ุงู„ุณูŠุงู‚. ุฃู†ุง ุจุชูƒู„ู… ุนู„ูŠู‡ุด ุงู„ mean ู‡ุงูŠ. ุงู„
628
+
629
+ 159
630
+ 00:12:50,390 --> 00:12:56,450
631
+ mean ุฃู†ุง ุนุงูŠุฒู‡ุง ูˆุญูƒู‰ ุจุดูƒู„ ุนุงู… ู„ู„ู…ุณุงู…ูŠุฑ ุฃูˆ ู„ู„ุจุฑุงุบูŠ
632
+
633
+ 160
634
+ 00:12:56,450 --> 00:13:02,000
635
+ ุงู„ู…ุตู†ุนุฉ. ุงู„ู‚ุทุฑ ุชุจุนู‡ุง 30 millimeter. ููŠ ุงู„ 30ุŒ ุฅุฐุง
636
+
637
+ 161
638
+ 00:13:02,000 --> 00:13:06,520
639
+ ุงู„ H0: ยต equal 30. ุฅุฐุง ุงู„ null hypothesis just for
640
+
641
+ 162
642
+ 00:13:06,520 --> 00:13:10,160
643
+ example states the claim or assertion to be tested
644
+
645
+ 163
646
+ 00:13:10,160 --> 00:13:13,440
647
+ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ุดุฑูƒุฉ ุจุชุญูƒูŠ ุฅู† ู‚ุทุฑ ุงู„ุจุฑุบูŠ ุจูŠุณุงูˆูŠ 30
648
+
649
+ 164
650
+ 00:13:13,440 --> 00:13:17,040
651
+ millimeters. ุฅุฐุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ claim. ุงู„ null
652
+
653
+ 165
654
+ 00:13:17,040 --> 00:13:19,740
655
+ hypothesis is always about a population parameter
656
+
657
+ 166
658
+ 00:13:19,740 --> 00:13:24,160
659
+ not about sample statistic. And we know that we can
660
+
661
+ 167
662
+ 00:13:24,160 --> 00:13:26,180
663
+ distinguish between population parameter and
664
+
665
+ 168
666
+ 00:13:26,180 --> 00:13:30,080
667
+ sample statistic. Population parameter is computed
668
+
669
+ 169
670
+ 00:13:30,080 --> 00:13:33,160
671
+ from a value computed from the population while
672
+
673
+ 170
674
+ 00:13:33,160 --> 00:13:36,820
675
+ sample statistic is a value computed from a sample.
676
+
677
+ 171
678
+ 00:13:36,820 --> 00:13:40,040
679
+ ูุฑู‚ ุจูŠู†ู‡ู… ุฃุฎุฐู†ุง ู‚ุจู„ู‡ุง ุงู„ population ูˆุงู„ statistic
680
+
681
+ 172
682
+ 00:13:40,040 --> 00:13:43,940
683
+ ุงู„ population ุจู†ุญุณุจ ู„ู„ู…ุฌุชู…ุน ูƒู„ู‡ุŒ ูˆุงู„ statistic ู„ู…ูŠู†ุŸ
684
+
685
+ 173
686
+ 00:13:43,940 --> 00:13:50,620
687
+ ู„ู„ุนูŠู†ุฉุŒ ู„ู„ samples. ูู…ู…ูƒู† ุฃุญูƒูŠ mu equal to 30ุŒ ุจุณ
688
+
689
+ 174
690
+ 00:13:50,620 --> 00:13:56,000
691
+ ู…ู…ูƒู† ุฃุญูƒูŠ x bar equal to 30. ู„ุฅู† ุจู†ุญูƒูŠ ุฏุงุฆู…ุง claim
692
+
693
+ 175
694
+
695
+ 216
696
+ 00:17:48,390 --> 00:17:51,270
697
+ testing ู„ู„-null against ุงู„-alternate hypothesis
698
+
699
+ 217
700
+ 00:17:51,270 --> 00:17:55,390
701
+ never contains an equal sign ูŠุนู†ูŠ ุนู…ุฑู‡ ู…ุง ุจูŠูƒูˆู† ููŠู‡
702
+
703
+ 218
704
+ 00:17:55,390 --> 00:17:59,210
705
+ ุนู†ุฏูŠ ุงู„-equal sign ุฃูˆ less than or equal or
706
+
707
+ 219
708
+ 00:17:59,210 --> 00:18:03,110
709
+ greater than or equal ุทุจ ุฅูŠุด ุจูŠูƒูˆู† ููŠู‡ุง ู…ูˆุฌูˆุฏุŸ ุขู‡
710
+
711
+ 220
712
+ 00:18:03,110 --> 00:18:07,650
713
+ ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ููŠู‡ุง ู„ุง ูŠุณุงูˆูŠ ูˆุฅูŠุด ุซุงู†ูŠุŸ ุฃูƒุจุฑ ุฃูˆ ุฃุตุบุฑ
714
+
715
+ 221
716
+ 00:18:07,650 --> 00:18:10,350
717
+ ูŠุนู†ูŠ ู‡ูŠ complement ุจุณ ุฅุฐุง ูƒุงู† ููŠู‡ ูŠุณุงูˆูŠ ุฅูŠุด ุงู„-
718
+
719
+ 222
720
+ 00:18:10,350 --> 00:18:13,840
721
+ complement ุชุจุนู‡ุŸ ู„ุง ูŠุณุงูˆูŠ ู…ุธุจูˆุทุŒ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช
722
+
723
+ 223
724
+ 00:18:13,840 --> 00:18:18,020
725
+ ุงู„ู…ุซู„ุฉ ููŠ ุงู„-null ูŠุณุงูˆูŠุŒ ุฅูŠุด ุจุชูƒูˆู† ุงู„-alternateุŸ
726
+
727
+ 224
728
+ 00:18:18,020 --> 00:18:21,800
729
+ ู…ุฑุชูŠู† ูŠุนู†ูŠุŒ ู‡ุงูŠ ุงู„-signุŒ ู‡ุงูŠ ุงู„-table ู‡ูŠูƒ ุตุบูŠุฑุฉุŒ
730
+
731
+ 225
732
+ 00:18:21,800 --> 00:18:30,060
733
+ sign H0, H1ุŒ ู„ูˆ ูƒุงู†ุช ุงู„-sign ูŠุณุงูˆูŠ ููŠ
734
+
735
+ 226
736
+ 00:18:30,060 --> 00:18:35,020
737
+ ุงู„-alternateุŒ ู„ูˆ ูƒุงู† ูŠุณุงูˆูŠ ู‡ู†ุงุŒ ุฅูŠุด ู‡ุชูƒูˆู† ููŠ ุงู„-
738
+
739
+ 227
740
+ 00:18:35,020 --> 00:18:41,070
741
+ H1ุŸ ู„ุง ูŠุณุงูˆูŠู„ูˆ ูƒุงู†ุช ููŠ ุงู„-Optional greater than
742
+
743
+ 228
744
+ 00:18:41,070 --> 00:18:45,930
745
+ or equal to ุฅูŠุด ุจุชูƒูˆู† ู‡ู†ุงุŸ ุฃู†ุง ุจุญูƒูŠ opposite ุฅูŠุด
746
+
747
+ 229
748
+ 00:18:45,930 --> 00:18:49,390
749
+ ู…ุนู†ู‰ opposite ุฃูˆ complementุŸ ุจุชูƒู…ู„ ุฅุฐุง ูƒุงู†ุช ู‡ุฐุง
750
+
751
+ 230
752
+ 00:18:49,390 --> 00:18:52,790
753
+ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุฅูŠุด ู‡ูŠ ุงู„ู…ูƒู…ู„ุฉ ุฅู„ูŠู‡ุงุŸ less thanุŒ ู„ูˆ
754
+
755
+ 231
756
+ 00:18:52,790 --> 00:18:58,430
757
+ ูƒุงู†ุช less ุฃูˆ ูŠุณุงูˆูŠุŸ correctุŒ ุฃูŠ ู…ุนู†ู‰ุŒ ู„ุญุธุฉ ุงู„-
758
+
759
+ 232
760
+ 00:18:58,430 --> 00:19:01,070
761
+ equal sign appears under the null hypothesis
762
+
763
+ 233
764
+ 00:19:01,070 --> 00:19:06,630
765
+ ุฅุดุงุฑุชูŠ ุงู„ูŠุณุงูˆูŠุŒ ู…ูˆุฌูˆุฏ under ุงู„-H0 while each one
766
+
767
+ 234
768
+ 00:19:06,630 --> 00:19:10,670
769
+ does not contain equal sign ุฅุฐุง never contains
770
+
771
+ 235
772
+ 00:19:10,670 --> 00:19:15,170
773
+ ูŠุณุงูˆูŠ ุฃูˆ ุฃู‚ู„ ูŠุณุงูˆูŠ ุฃูˆ ุฃูƒุจุฑ ูŠุณุงูˆูŠ sign may or may
774
+
775
+ 236
776
+ 00:19:15,170 --> 00:19:19,510
777
+ not be proven ู„ุงุญุธ ููŠ ูุฑู‚ ููŠ ุงู„ุฃูˆู„ ุฅูŠุด ุญูƒูŠุชุŸ ุฅุฐุง
778
+
779
+ 237
780
+ 00:19:19,510 --> 00:19:23,710
781
+ ุญุฏ ู…ุด ุฐุงูƒุฑุŸ may or may not be rejected ู…ู…ูƒู† ุฃูˆ ู…ุด
782
+
783
+ 238
784
+ 00:19:23,710 --> 00:19:27,470
785
+ ู…ู…ูƒู† ุฃู†ูุถู‡ุง ู‡ู†ุง ุฅูŠุด ุจุญูƒูŠ proven ุฃุซุจุชู‡ุง
786
+
787
+ 239
788
+ 00:19:30,600 --> 00:19:33,980
789
+ ุงู„ุฎูŠุฑ ุงู„ุฃุฎูŠุฑ ู‡ูˆ ุงู„ู€hypotheses ุงู„ู…ุฎุชู„ูุฉ ู‡ูŠ ุนุงู…ุฉ
790
+
791
+ 240
792
+ 00:19:33,980 --> 00:19:38,280
793
+ ุงู„ู€hypotheses ุงู„ุชูŠ ูŠุญุงูˆู„ ุงู„ู…ุญู‚ู‚ ุฃู† ูŠุซุจุชู‡ุง ุงู„ู…ุญู‚ู‚
794
+
795
+ 241
796
+ 00:19:38,280 --> 00:19:42,820
797
+ ุฏุงุฆู…ุง ุงู„ู€ูุฑุถูŠุฉ ุงู„ุจุฏูŠู„ุฉ ุงู„ุจุงุญุซ ูŠุญุงูˆู„ ุฅูŠุดุŸ ูŠุซุจุชู‡ุง
798
+
799
+ 242
800
+ 00:19:42,820 --> 00:19:46,460
801
+ ู„ุฅูŠุด ูŠุซุจุชู‡ุงุŸ ู„ุฅูŠุด ูŠุซุจุชู‡ุงุŸ ู„ุฃู† ู…ุซู„ุง ุงู„-mean less
802
+
803
+ 243
804
+ 00:19:46,460 --> 00:19:50,800
805
+ than 10 seconds ุฃูˆ 10 days ุงู„-mean greater than 50
806
+
807
+ 244
808
+ 00:19:50,800 --> 00:19:54,480
809
+ ุฃูˆ ุงู„-mean does not equal a hundred ู„ุฐู„ูƒ ุงู„ู…ุญู‚ู‚
810
+
811
+ 245
812
+ 00:19:54,480 --> 00:19:56,540
813
+ ูŠุชู…ู†ู‰ ูƒุจูŠุฑ ู„ุฅุฏุงุฑุฉ
814
+
815
+ 246
816
+ 00:19:58,320 --> 00:20:02,020
817
+ ุงู„ู€hypotheses ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฃูˆ ุชุจุฑูˆุน ุงู„ู€hypotheses
818
+
819
+ 247
820
+ 00:20:02,020 --> 00:20:06,580
821
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุงู„ุขู† ุณูˆู ู†ุนุทูŠ ุงู„ุจุฑูˆุณูŠุณ ู„ู„ู€hypotheses
822
+
823
+ 248
824
+ 00:20:06,580 --> 00:20:15,440
825
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุจุทุฑูŠู‚ุฉ ุจุณูŠุทุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ูˆุถูˆุน ุนู…ุฑู‡ุง 50
826
+
827
+ 249
828
+ 00:20:15,440 --> 00:20:22,000
829
+ ุณู†ุฉ ุนู…ุฑู‡ุง 50 ุณู†ุฉ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ุณูƒุงู† ูƒู„ู‡ู… ุจุฏุฃุช ..
830
+
831
+ 250
832
+ 00:20:22,000 --> 00:20:28,130
833
+ ุงูุชุฑุถ ุฃู† ุงู„ู…ุชูˆุณุท ุฃุนู…ุงุฑู‡ู… 50 ุณู†ุฉ ู‡ุฐุง ู…ุนู†ุงู‡ ุฅูŠุดุŸ ุฃู†
834
+
835
+ 251
836
+ 00:20:28,130 --> 00:20:35,670
837
+ ุฃู†ุง ุจุฏุฃ ุฃุนู…ู„ testing ุงู„-mean equal fifty ู„ู…ุง
838
+
839
+ 252
840
+ 00:20:35,670 --> 00:20:38,350
841
+ ุจุญูƒูŠ ุจุนู…ู„ testing ู„-mean equal fifty ุฅูŠุด ู‡ุชูƒูˆู†
842
+
843
+ 253
844
+ 00:20:38,350 --> 00:20:41,390
845
+ ุงู„-alternative hypothesisุŸ ู‡ูŠ ุนู„ู‰ ุทูˆู„ ุงู„-
846
+
847
+ 254
848
+ 00:20:41,390 --> 00:20:43,790
849
+ opposite ุชุจุนุชู‡ุง ุฒูŠ ู…ุง ุญูƒูŠุช ููŠ ุงู„ุชุงุจุนุงุชุŒ ุฒูŠ ู„ุง ูŠุณุงูˆูŠ
850
+
851
+ 255
852
+ 00:20:43,790 --> 00:20:49,010
853
+ ู„ุง ูŠุณุงูˆูŠ ูุง automatically ุจูƒุชุจ versusุŒ ุจุนู…ู„
854
+
855
+ 256
856
+ 00:20:49,010 --> 00:20:53,830
857
+ testing ุงุฎุชุจุงุฑ
858
+
859
+ 257
860
+ 00:20:53,830 --> 00:21:00,960
861
+ H0, mean equal fifty versus ุฃูˆ against ู…ุง ู‡ูŠุด
862
+
863
+ 258
864
+ 00:21:00,960 --> 00:21:09,780
865
+ ู…ู‚ุงุจู„ ุงู„-H1 ู…ูŠูˆู…ูŠุงู„ู‡ุง ุชุณุงูˆูŠ ุฎู…ุณูŠู† I'm ุจุญูƒูŠ
866
+
867
+ 259
868
+ 00:21:09,780 --> 00:21:15,900
869
+ population mean equal fifty this fifty is called
870
+
871
+ 260
872
+ 00:21:15,900 --> 00:21:17,520
873
+ historical value
874
+
875
+ 261
876
+ 00:21:20,140 --> 00:21:23,120
877
+ ูŠุนู†ูŠ ุฅูŠุด historical valueุŸ ูŠุนู†ูŠ ู‚ูŠู…ุฉ ุฏูŠ ู†ุฌูŠุจ ุชู…ุงู…ุง
878
+
879
+ 262
880
+ 00:21:23,120 --> 00:21:27,040
881
+ ู…ู† ุฎู„ุงู„ records ู…ุนูŠู†ุฉ ุงู„-records ุชุงุฑูŠุฎูŠุง ุจุชุญูƒูŠ
882
+
883
+ 263
884
+ 00:21:27,040 --> 00:21:30,640
885
+ ู…ุชูˆุณุท ุงู„ุณูƒุงู† ุฎู…ุณูŠู† ุณู†ุฉ ุฃู†ุง ุนุงูŠุฒ ุฃุดูˆู ุฅุฐุง ูƒุงู† ู…ุชูˆุณุท
886
+
887
+ 264
888
+ 00:21:30,640 --> 00:21:34,340
889
+ ุงู„ุณูƒุงู† ุฎู…ุณูŠู† ูˆู„ุง ู„ุฃ ุฅุฐุง ฮผ equal fifty against ฮผ
890
+
891
+ 265
892
+ 00:21:34,340 --> 00:21:38,760
893
+ does not equal fifty ุฅูŠุด ุจู†ุนู…ู„ุŸ ู‡ูŠ ุนู†ุฏ ุงู„-
894
+
895
+ 266
896
+ 00:21:38,760 --> 00:21:45,320
897
+ population is very large ุฅูŠุด ุจุฃุฎุฏ ู…ู†ู‡ุŸ sample ูˆู…ู†
898
+
899
+ 267
900
+ 00:21:45,320 --> 00:21:48,340
901
+ ุงู„-sample ุฅูŠุด ุจุทู„ุนุŸ ุงู„-sample mean ุฅุฐุง ู‡ูŠ ุงู„-
902
+
903
+ 268
904
+ 00:21:48,340 --> 00:21:54,040
905
+ population ุฃุฎุฏุช ู…ู†ู‡ sample ูˆู…ู† ุงู„-sample ุจุทู„ุน ุงู„-
906
+
907
+ 269
908
+ 00:21:54,040 --> 00:21:58,100
909
+ x ุจู‚ู‰ now
910
+
911
+ 270
912
+ 00:21:58,100 --> 00:22:03,220
913
+ for example suppose just for example ุงู„-sample
914
+
915
+ 271
916
+ 00:22:03,220 --> 00:22:09,880
917
+ mean was 20 ุฃุฎุฏุช sample ุทู„ุน ุงู„ู…ุชูˆุณุท ุชุจุนู‡ ู„ุนู…ุฑ 20
918
+
919
+ 272
920
+ 00:22:09,880 --> 00:22:14,500
921
+ ุณู†ุฉ ุฅูŠู‡ุŸ ู„ุฃู† ู‡ูˆ .. ู‡ูˆ ุงู„ู€ุฅุฏุนุงุก ุฅู†ู‡ ฮผ ู…ุงู„ู‡ ุจุณูˆุก
922
+
923
+ 273
924
+ 00:22:14,500 --> 00:22:20,120
925
+ ุฎู…ุณูŠู† ู„ู…ุง ุฃุฎุฏุช ุนูŠู†ุฉ ุทู„ุน ุนุดุฑูŠู† ุทุจ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู† ุงู„ู„ู‡
926
+
927
+ 274
928
+ 00:22:20,120 --> 00:22:25,440
929
+ ุจูŠู‚ูˆู„ ุตุญ ูˆู„ุง ู…ุด ุตุญุŸ ู…ุด ุตุญุŒ ูุฅู† ู‡ูˆ ุจูŠุญูƒูŠ ุฎู…ุณูŠู† ูˆ
930
+
931
+ 275
932
+ 00:22:25,440 --> 00:22:30,140
933
+ ุทู„ุนุช ุนุดุฑูŠู† ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูƒุจูŠุฑ ุฌุฏุงุŒ ูˆู„ุง ู„ุฃุŒ ูŠุนู†ูŠ
934
+
935
+ 276
936
+ 00:22:30,140 --> 00:22:35,960
937
+ ู†ุณุจุฉ ูˆุชู†ุงุซุฑ ูŠุนุชุจุฑ ูƒุจูŠุฑ ุฌุฏุง this is significantly
938
+
939
+ 277
940
+ 00:22:35,960 --> 00:22:38,700
941
+ lower than the claimed mean population of fifty
942
+
943
+ 278
944
+ 00:22:38,700 --> 00:22:41,900
945
+ ุฅู†ู‡ ุฃู‚ู„ ุจูƒุซูŠุฑุŒ ุฅูŠุด ู…ุนู†ุงู‡ significantlyุŸ
946
+
947
+ 279
948
+ 00:22:44,480 --> 00:22:48,720
949
+ ูƒุจูŠุฑ ุจุดูƒู„ ุฌูˆู‡ุฑูŠ ูŠุนู†ูŠ ุงู„-significate ุงู„ู…ุนู†ู‰ ุฌูˆู‡ุฑูŠุง
950
+
951
+ 280
952
+ 00:22:48,720 --> 00:22:53,380
953
+ ูƒุจูŠุฑ ูˆุงุถุญ ุฃู† ุงู„-20 is significantly lower than the
954
+
955
+ 281
956
+ 00:22:53,380 --> 00:22:57,100
957
+ claimed mean age of the population age of 50 ูˆุงุถุญ
958
+
959
+ 282
960
+ 00:22:57,100 --> 00:23:01,620
961
+ ุฃู† ุงุญู†ุง ููŠ ูุฑู‚ ูƒุจูŠุฑ ุฌุฏุง ุจูŠู†ู†ุง ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ if the
962
+
963
+ 283
964
+ 00:23:01,620 --> 00:23:04,020
965
+ null were true if the null hypothesis were true
966
+
967
+ 284
968
+ 00:23:04,020 --> 00:23:08,760
969
+ ุฃู†ุง ุฏุงุฆู…ุง ุจูุชุฑุถ ุฃู† ุงู„-null is true ุฃู†ู‡ุง ุตุญูŠุญุฉ ุทุจ
970
+
971
+ 285
972
+ 00:23:08,760 --> 00:23:12,860
973
+ ุฅุฐุง null ุตุญูŠุญุฉ ุฅู†ูƒ ุชุญุตู„ ุนู„ู‰ ู…ุชูˆุณุท ุนู…ุฑ ู„ู„ุนูŠู†ุฉ ุจุณุงูˆูŠ
974
+
975
+ 286
976
+ 00:23:12,860 --> 00:23:17,900
977
+ ุนุดุฑูŠู† ุงุญุชู…ุงู„ูƒ ูƒุจูŠุฑ ูˆู„ุง ุตุบูŠุฑ ุตุบูŠุฑ ุฌุฏุง ุฅุฐุง ุงู„-
978
+
979
+ 287
980
+ 00:23:17,900 --> 00:23:20,720
981
+ probability of getting such a different sample
982
+
983
+ 288
984
+ 00:23:20,720 --> 00:23:24,860
985
+ mean would be very small ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุฅุฐุง ุฃู†ุง
986
+
987
+ 289
988
+ 00:23:24,860 --> 00:23:29,340
989
+ ุจูุชุฑุถ ุงู„-mean ุจุณุงูˆูŠ ุฎู…ุณูŠู† ูˆุงุฎุฏุช ุนูŠู†ุฉ ุทู„ุนุช ุนุดุฑูŠู†
990
+
991
+ 290
992
+ 00:23:29,340 --> 00:23:33,060
993
+ ู…ุนู†ู‰ ูƒุฏู‡ ุฅู†ูƒ ุชุงุฎุฏ ุนุดุฑูŠู† ูƒุญุงุฌุฉ ู…ุนูŠู†ุฉ ุทู„ุน ู…ุนูƒ ุนุดุฑูŠู†
994
+
995
+ 291
996
+ 00:23:33,060 --> 00:23:37,710
997
+ ุงุญุชู…ุงู„ู‡ ู…ุงู„ู‡ ุตุบูŠุฑ ุฌุฏุง ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ูƒ ุชู†ูุฐ ู…ู† ุญูŠุงุฉ
998
+
999
+ 292
1000
+ 00:23:37,710 --> 00:23:40,990
1001
+ ุงู„-hypothesis. ู…ุน ูƒุฏู‡ ุญุฑูุถู‡ุง ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ ุทุงู„ู…ุง ุทู„ุน
1002
+
1003
+ 293
1004
+ 00:23:40,990 --> 00:23:44,370
1005
+ ู…ุงุฆุฉ ูˆุนุดุฑูŠู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุด ุตุญูŠุŒ ู…ุธุจูˆุทุŸ ุฃู†ุง ุจูุชุฑุถ
1006
+
1007
+ 294
1008
+ 00:23:44,370 --> 00:23:48,110
1009
+ ุจุงู„ุฎู…ุณูŠู†ุŒ ุทู„ุน ู…ุงุฆุฉ ูˆุนุดุฑูŠู†ุŒ ู…ุน ูƒุฏู‡ ู…ุฆูˆ
1010
+
1011
+ 295
1012
+ 00:23:48,110 --> 00:23:51,170
1013
+ ุจุงู„ุฎู…ุณูŠู†ุŒ ุตุญูŠุญ ูˆู„ุง ุฎุงุทุฆุŸ ุบู„ุทุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ูƒ
1014
+
1015
+ 296
1016
+ 00:23:51,170 --> 00:23:54,430
1017
+ ุชู†ูุฐ ู…ู† ุญูŠุงุฉ ุงู„-hypothesis. in other words,
1018
+
1019
+ 297
1020
+ 00:23:54,710 --> 00:23:59,090
1021
+ getting a sum of twenty ูŠุนู†ูŠ ุชุญุตู„ ุนู„ู‰ ุนูŠู† ุญุฌู…
1022
+
1023
+ 298
1024
+ 00:23:59,090 --> 00:24:03,270
1025
+ ู…ุชูˆุณุทุฉ ุนุดุฑูŠู† is so unlikely if the population mean
1026
+
1027
+ 299
1028
+ 00:24:03,270 --> 00:24:03,890
1029
+ was fifty.
1030
+
1031
+ 300
1032
+ 00:24:06,510 --> 00:24:10,130
1033
+ ู„ูˆ ุจุฃุฎุฏ ุนูŠู†ุฉ ูŠุทู„ุน ู…ุนุงูŠุง ุงู„-mean ุชุจุนู‡ุง ุจุณุงูˆูŠ ุนุดุฑูŠู†
1034
+
1035
+ 301
1036
+ 00:24:10,130 --> 00:24:17,050
1037
+ ู‡ุฐุง ู…ุงู„ู‡ unlikely ุบูŠุฑ ู…ุญุชู…ู„ if the population
1038
+
1039
+ 302
1040
+ 00:24:17,050 --> 00:24:20,310
1041
+ mean was fifty so you conclude that population
1042
+
1043
+ 303
1044
+ 00:24:20,310 --> 00:24:24,470
1045
+ mean ู…ุงู„ู‡ must not be fifty ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ู…ุนุงูŠุง ุฃู†ุง
1046
+
1047
+ 304
1048
+ 00:24:24,470 --> 00:24:28,770
1049
+ ุจุนู…ู„ claim ู„ุฎู…ุณูŠู† ุทู„ุน ุนุดุฑูŠู† ุฃูƒูŠุฏ ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนูŠ
1050
+
1051
+ 305
1052
+ 00:24:30,980 --> 00:24:34,160
1053
+ rejected ู„ูŠุด rejected zero ู„ุฃู† ุงู„-difference
1054
+
1055
+ 306
1056
+ 00:24:34,160 --> 00:24:36,820
1057
+ between ุงู„-claim ุงู„ู„ูŠ ู‡ูˆ population mean ูˆุงู„-
1058
+
1059
+ 307
1060
+ 00:24:36,820 --> 00:24:40,840
1061
+ sample mean ู…ุงู„ู‡ is very large again the question
1062
+
1063
+ 308
1064
+ 00:24:40,840 --> 00:24:43,980
1065
+ is how large is large enough to reject themุŸ
1066
+
1067
+ 309
1068
+ 00:24:43,980 --> 00:24:47,260
1069
+ ุงู„-hypothesis ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู‚ุจู„ ู‡ูŠูƒ ุชุฐูƒุฑ how large is
1070
+
1071
+ 310
1072
+ 00:24:47,260 --> 00:24:50,140
1073
+ large enough to support the population is normally
1074
+
1075
+ 311
1076
+ 00:24:50,140 --> 00:24:55,140
1077
+ distributedุŸ ู‡ูŠ ู†ูุณ ุงู„ู‚ุตุฉ how large is largeุŸ ู„ู†ู†ู‚ู„
1078
+
1079
+ 312
1080
+ 00:24:55,140 --> 00:24:57,860
1081
+ ุงู„ู€hypothesis ุงู„ู†ู‡ุงุฆูŠุฉุŒ ู‡ุฐุง ู„ู„ูˆู‚ุช ุงู„ู‚ุงุฏู… ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ
1082
+
1083
+ 313
1084
+ 00:24:57,860 --> 00:25:02,740
1085
+ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ู…ู‡ู… ุจูŠู† ุงู„ุงุฏุนุงุก
1086
+
1087
+ 314
1088
+ 00:25:02,740 --> 00:25:06,100
1089
+ ูˆุงู„ู…ุนู†ู‰ ุงู„ุณุงู…ูŠ ู„ุฐู„ูƒ ู†ู†ู‚ู„ ุงู„ู€hypothesis ุงู„ู†ู‡ุงุฆูŠุฉ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/pDhUJvfxocc_postprocess.srt ADDED
@@ -0,0 +1,1256 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,240 --> 00:00:23,720
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ
4
+
5
+ 2
6
+ 00:00:23,720 --> 00:00:28,660
7
+ chapter ุฌุฏูŠุฏ this chapter is the main chapter in
8
+
9
+ 3
10
+ 00:00:28,660 --> 00:00:31,880
11
+ this course it talks about fundamentals of
12
+
13
+ 4
14
+ 00:00:31,880 --> 00:00:35,500
15
+ hypothesis testing in chapter 9 we are talking
16
+
17
+ 5
18
+ 00:00:35,500 --> 00:00:40,560
19
+ about just one sample test ู‡ุฐุง ูˆุงุญุฏ ุงู„ู…ูˆุถูˆุนุงุช
20
+
21
+ 6
22
+ 00:00:40,560 --> 00:00:45,320
23
+ ุจุงู„ู†ุณุจุงู„ูŠ ุงู†ู‡ุง ู…ู‡ู…ุฉ ุฌุฏุง ููŠ ุงู„ุญุตุฉ ู‡ุนุทูŠ ู…ู‚ุฏู…ุฉ ุจุงู„ู„ุบุฉ
24
+
25
+ 7
26
+ 00:00:45,320 --> 00:00:48,220
27
+ ุงู„ุนุฑุจูŠุฉ ุชู…ุงู…ุง ุงู„ุขู† ุนุดุงู† ุชุนุฑููŠ ุงูŠุด ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡
28
+
29
+ 8
30
+ 00:00:48,220 --> 00:00:54,100
31
+ ู…ู† chapter 9 ู„ุบุงูŠุฉ ู…ุง ู†ุฎู„ุตุจุงุณุงุณ ู†ูู‡ู… ุงูŠุด ุงู„ .. ุงู„
32
+
33
+ 9
34
+ 00:00:54,100 --> 00:00:57,140
35
+ .. ุงู„ concepts ุงูˆ ุงู„ fundamentals ุงุญู†ุง ู‡ู†ุงุฎุฏู‡ุง ููŠ
36
+
37
+ 10
38
+ 00:00:57,140 --> 00:01:02,540
39
+ chapter 9 ููŠ ุงู„ุฃูˆู„ hypothesis ู…ุนู†ุงู‡ ุงูŠุด ูุฑุถูŠุฉ ูู‡ุฐู‡
40
+
41
+ 11
42
+ 00:01:02,540 --> 00:01:10,560
43
+ ุนุจุงุฑุฉ ุนู† ูุฑุถูŠุฉ ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ fundamental ุฃุณุงุณูŠุฉ
44
+
45
+ 12
46
+ 00:01:10,560 --> 00:01:14,760
47
+ ุฃุณุงุณูŠุงุช
48
+
49
+ 13
50
+ 00:01:14,760 --> 00:01:19,020
51
+ ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ ู‡ุนุทูŠูƒ
52
+
53
+ 14
54
+ 00:01:19,020 --> 00:01:23,490
55
+ ุนุฏุฉ ุฃู…ุซู„ุฉ ุงู„ุขู† ุงู„ู„ูŠ ุฃู†ุง ุงูุชุฑุถู‡ุฃุนุทูŠ ุฃู…ุซู„ุฉ ู…ุฎุชู„ูุฉ ุจุณ
56
+
57
+ 15
58
+ 00:01:23,490 --> 00:01:29,890
59
+ ุฃุบู„ุจู‡ุง ููŠ ุงู„ business ู†ูุชุฑุถ ุฏุฎู„ุช ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ูˆู…ุฏูŠุฑ
60
+
61
+ 16
62
+ 00:01:29,890 --> 00:01:36,590
63
+ ุงู„ุดุฑูƒุฉ ุจูŠุชุฏุนูŠ ุฃู† ู…ุชูˆุณุท ุนุฏุฏ ู…ุซู„ุง ุงู„ edges ุงู„ุญุตูˆู…ูŠ
64
+
65
+ 17
66
+ 00:01:36,590 --> 00:01:41,330
67
+ ุงู„ู„ูŠ ูŠุชูŠุญ ุงู„ุดุฑูƒุฉ ุงู„ laptops ู†ูุชุฑุถ ุจูŠุณุชูˆู‰ 50 ุฌู‡ุงุฒ
68
+
69
+ 18
70
+ 00:01:41,330 --> 00:01:47,550
71
+ ููŠ ุงู„ุณูˆู‚ ุฃู†ุช ุนุงูŠุฒ ุชุฎุชุจุฑ ู…ุฏู‰ ุงู„ุตุฏู‚ู‡ุฐุง ุงู„ุงุฏุนุงุก ูŠุนู†ูŠ
72
+
73
+ 19
74
+ 00:01:47,550 --> 00:01:51,570
75
+ ููŠ claim ู…ุนูŠู† ุงู† ุงู„ู…ุฏูŠุฑ ุจูŠุญูƒู…ู‡ ุชูˆุตู„ ู…ุจูŠุนุงุชู‡ ุฎู„ุงู„
76
+
77
+ 20
78
+ 00:01:51,570 --> 00:01:55,830
79
+ ุงู„ุฃุณุจูˆุน ู…ู† ุฃุฌุฒุฉ ุงู„ laptop 15 ุงูˆ 50 ุฌู‡ุงุฒ ุงูˆ 100
80
+
81
+ 21
82
+ 00:01:55,830 --> 00:01:59,670
83
+ ุฌู‡ุงุฒ ุงู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑ ุงุฐุง ูƒุงู† ุงุฏุนุงูˆู‡ ุณู„ูŠู… ุงุฐุง ู‡ูˆ ู…ุด
84
+
85
+ 22
86
+ 00:01:59,670 --> 00:02:06,550
87
+ ุจูŠุฎุชุจุฑ ุงู†ู‡ ุนู†ุฏู‡ ุญุตูŠู„ุฉ ููŠ ุงู„ุฃุณุจูˆุน ุจูŠุจูŠุน 100 laptop
88
+
89
+ 23
90
+ 00:02:06,550 --> 00:02:11,090
91
+ ุงู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑ ุงุฐุง ูƒุงู†ุช ูƒู„ุงู…ู‡ ุตุญ ุงูˆ ุบูŠุฑ ุณู„ูŠู… ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:11,090 --> 00:02:17,670
95
+ ุงู†ุง ุจุชูƒู„ู… ุนู† ู…ูŠู† ุงู† ุงู„ู…ูŠู† ุจูŠุณุงูˆูŠ ู†ูุชุฑุถ ู…ูŠู†ุทุจ ุงู†ุง
96
+
97
+ 25
98
+ 00:02:17,670 --> 00:02:23,650
99
+ ู‡ุงุฎุชุจุฑ ุงู„ mean ุจุณุงูˆุฉ ู…ูŠุฉ ุงูˆ ู…ู‚ุงุจู„ ูŠุงุด ู…ู…ูƒู† ูƒู„ุงู…ู‡
100
+
101
+ 26
102
+ 00:02:23,650 --> 00:02:28,910
103
+ ู…ุด ุตุญ ุงู† ุงู„ mean ุจูŠุฎุชู„ู ุนู† ู…ูŠุฉ ูŠุนู†ูŠ ุงู„ mean ุงูŠู‡ ุฏูŠ
104
+
105
+ 27
106
+ 00:02:28,910 --> 00:02:32,970
107
+ ู…ุนู†ุงู‡ ู„ุง ูŠุจุณุงูˆุฉ not equal ู…ูŠุฉ ุงู†ุง ู…ุด ุนุงุฑู ุงูƒุชุฑ ูˆู„ุง
108
+
109
+ 28
110
+ 00:02:32,970 --> 00:02:37,830
111
+ ุงู‚ู„ ุงู†ุง ุจุฏูŠ ุงุฎุชุจุฑ ุงู„ mean ู„ุง ูŠุจุณุงูˆุฉ ู…ูŠุฉ ู‡ุฏูŠูƒ ู…ุซุงู„
112
+
113
+ 29
114
+ 00:02:37,830 --> 00:02:42,470
115
+ ุงุฎุฑ ุงู„ู„ูŠ ุงู†ุง ุงูุชุฑุถ ุงู„ู…ุฏูŠุฑ ู†ูุณู‡ ุจูŠุญูƒูŠ ุงู†ู‡ ู†ูุชุฑุถ ููŠ
116
+
117
+ 30
118
+ 00:02:42,470 --> 00:02:48,910
119
+ ุนู†ุฏู‡ machines ุฌุฏูŠุฏุฉ ุขูŠุงุช ุฌุฏูŠุฏุฉ ู„ู„ุฅู†ุชุงุฌูˆู†ูุชุฑุถ ุงู„ุฒู…ู†
120
+
121
+ 31
122
+ 00:02:48,910 --> 00:02:54,270
123
+ ุงู„ู„ุงุฒู… ุณุงุจู‚ุง ูƒุงู† ู„ุฅู†ุชุงุฌ ู…ู†ุชุฌ ู…ุนูŠู† ุชุบู„ูŠู ุฃูˆ ู…ุดุงุจู‡
124
+
125
+ 32
126
+ 00:02:54,270 --> 00:03:00,230
127
+ ู†ูุชุฑุถ ุจุณุงูˆูŠ ten minutes ู‡ูˆ ุงู„ุงู† ุจูŠุฏุนูŠ ุฃู† ู…ุชูˆุณุท
128
+
129
+ 33
130
+ 00:03:00,230 --> 00:03:06,700
131
+ ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ุฃูุถู„ุŒ ุฅุฐุง ููŠ ุงู„ุฃูˆู„ ุงู„ู…ูŠู†ุด ุจุณุงูˆูŠู†ูุชุฑุถ
132
+
133
+ 34
134
+ 00:03:06,700 --> 00:03:10,780
135
+ ten minutes ุนุดุฑุฉ ุงู„ุงู† ู‡ูˆ ุจูŠุฏุนูŠ ู„ู„ุฏุนุงูŠุฉ ุชุจุนู‡ ุงู†
136
+
137
+ 35
138
+ 00:03:10,780 --> 00:03:15,280
139
+ ุงู„ู…ูŠู† ู…ุงู„ู‡ ุงู„ุงู† ุงู„ูˆุถุน ุงูุถู„ ุงู† ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡
140
+
141
+ 36
142
+ 00:03:15,280 --> 00:03:22,500
143
+ ุงู„ุชุบู„ูŠู ุงูˆ ุงู„ุชุจูƒูŠุฏ ุชุจุนู‡ู… ุงูุถู„ ุงูŠุด ู…ุนู†ู‰ ุงูุถู„ุŸ ุดูˆู
144
+
145
+ 37
146
+ 00:03:22,500 --> 00:03:26,940
147
+ ุงู„ุงู† ุงูุถู„ ุจุญูƒูŠ ู„ู„ุฒู…ู† ูˆู‚ุช ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุญูŠูƒูˆู† ุงู‚ู„ ู…ู†
148
+
149
+ 38
150
+ 00:03:26,940 --> 00:03:30,640
151
+ ุนุดุฑุฉ ุงู„ุงู†
152
+
153
+ 39
154
+ 00:03:30,640 --> 00:03:35,370
155
+ ู†ูุชุฑุถ ุงู„ู…ุฏูŠุฑ ู†ูุณู‡ ุจูŠุญูƒูŠุฅู†ู‡ ู…ุชูˆุณุท ุฅู†ุชุงุฌ ุงู„ุนู…ุงู„ ุนู†ุฏู‡
156
+
157
+ 40
158
+ 00:03:35,370 --> 00:03:45,470
159
+ ุจุนุฏ ู…ุง ุฃุฎุฏูˆุง ุฏูˆุฑุฉ ุชุฏุฑูŠุจูŠุฉ ุงุชุญุณู† ุงู„ุงู†ุชุงุฌ ุชุญุณู† ู…ูุชุฑุถ
160
+
161
+ 41
162
+ 00:03:45,470 --> 00:03:50,890
163
+ ุงู„ู…ูŠู† ูƒุงู† ุจุณุงูˆุฉ ุฎู…ุณูŠู† ุญุฒูŠู†ุŒ ุญุฒูŠู†ุŒ ู…ุนู†ู‰ ุชุญุณู† ูŠุนู†ูŠ
164
+
165
+ 42
166
+ 00:03:50,890 --> 00:03:51,310
167
+ ุญุฒูŠู†
168
+
169
+ 43
170
+ 00:03:54,880 --> 00:03:58,060
171
+ ูŠุนู†ูŠ ู…ุฑุฉ ูƒุงู† ู„ุง ูŠุณุงูˆูŠ ุฃู†ุช ู…ุด ุนุงุฑู ุงุชุฌู‡ ุชุจู‚ู‰ ุฃูƒุจุฑ
172
+
173
+ 44
174
+ 00:03:58,060 --> 00:04:03,220
175
+ ูˆู„ุง ุฃู‚ู„ ู…ุฑุฉ ุงุชุญุณู† ูˆ ู‡ูŠ ุงุชุญุณู† ู„ุงุญุธูˆุง ุจุณ ุงู„ุงุชุญุณู† ู…ุด
176
+
177
+ 45
178
+ 00:04:03,220 --> 00:04:07,040
179
+ ู…ุนู†ุงู‡ ุฏุงูŠู…ุง ุฃูƒุจุฑ ุฃูุถู„ ุนู„ู‰ ุญุณุจูƒ ูˆุงู„ู„ู‡ ุฅุฐุง ูƒุงู† ุฒู…ู†
180
+
181
+ 46
182
+ 00:04:07,040 --> 00:04:11,820
183
+ ู„ุงุฒู… ู„ุงุชุณุงุจ skill ู…ุนูŠู†ุฉ ููƒุงู† ูƒู„ ู…ุง ูƒุงู† ุฃูุถู„ ูƒู„ ู…ุง
184
+
185
+ 47
186
+ 00:04:11,820 --> 00:04:17,100
187
+ ูƒุงู† ุฃู‚ู„ ู„ูƒู† ุจุญูƒูŠ ูˆุญุฏุงุช ู…ุจูŠุนุฉ ู„ู…ุง ุจุญูƒูŠ ู…ุณุชูˆู‰
188
+
189
+ 48
190
+ 00:04:17,100 --> 00:04:21,500
191
+ ุงู„ู…ูˆุธููŠู† ุงุชุญุณู† ููŠ ุงู„ู…ุจูŠุนุงุชู…ุน ูƒุฏู‡ ุงู„ sale person
192
+
193
+ 49
194
+ 00:04:21,500 --> 00:04:25,320
195
+ ู„ู…ุฑุงุญุจ ุจูŠุน ุจูŠุน ุฃูุถู„ุŒ ู…ุน ูƒุฏู‡ ู…ุณุชูˆู‰ ู…ุงู†ูˆ ุชุญุณู† ูŠุนู†ูŠ
196
+
197
+ 50
198
+ 00:04:25,320 --> 00:04:29,680
199
+ ุฃูƒุจุฑุŒ ุฅุฐุง ุจุญูƒูŠุช ุฃูƒุจุฑ ูˆ ุฃู‚ู„ ุจุนุฑูู‡ุง ู…ู† ูˆุตูŠูุฉ ุงู„ู…ุซู„ุฉุŒ
200
+
201
+ 51
202
+ 00:04:29,680 --> 00:04:32,440
203
+ ู„ูƒู† ููŠ ุงู„ุขุฎุฑูŠู† ู…ุงุญุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ู…ู‚ุงุจู„ู†ุง ู„ุง
204
+
205
+ 52
206
+ 00:04:32,440 --> 00:04:39,900
207
+ ูŠุณุงูˆูŠุŒ ููƒู„ ุญุงุฌุฉ ุฃุนู…ู„ู‡ ู…ูุชุฑุถ ุฏุฎู„ุช ุณุงุญุฉ ุงู„ุฌุงู…ุนุฉ ูˆ
208
+
209
+ 53
210
+ 00:04:39,900 --> 00:04:45,400
211
+ ุจุฏุฃ ุฃุณุฃู„ ุงู„ุทู„ุจุฉ ุฅูŠุด ุฑุฃูŠูƒูˆุง ููŠ ุงู„ุฃุญุฏุงุซ ุงู„ุฃุฎูŠุฑุฉุŒ ู…ุน
212
+
213
+ 54
214
+ 00:04:45,400 --> 00:04:54,790
215
+ ุฃูˆ ุถุฏุŸู†ูุชุฑุถ ุงู†ุง ุนู†ุฏู‰ ุงุฏุนุงุก ุงู† ุงู„ proportion ู„ู„ูŠ
216
+
217
+ 55
218
+ 00:04:54,790 --> 00:05:01,110
219
+ ู…ุน ุงู„ุฃุญุฏุงุซ ุฏู‡ ู…ุญูŠุทุŒ ุฏู‡ ุญูƒูŠู‡ 50%ุŒ ุงุฐุง ุงู„ proportion
220
+
221
+ 56
222
+ 00:05:01,110 --> 00:05:06,690
223
+ ู…ุด ุจุชุณุงูˆูŠ ู†ุตุŒ ุจูŠุณุŸ
224
+
225
+ 57
226
+ 00:05:06,690 --> 00:05:14,250
227
+ ู†ูุชุฑุถ ููŠ ุงุฏุนุงุก ู…ู† ุญุฒุจ ู…ุนูŠู† ุงู† ุงูƒุชุฑ ู…ู† ู†ุต ุงู„ุณูƒุงู†
228
+
229
+ 58
230
+ 00:05:14,250 --> 00:05:22,560
231
+ ุจูŠุญูƒูˆุง ู„ูˆุถุน ุณูŠุฆุฉูุนุงูŠุฒ ุฃุฎุชุจุฑ ุฃูƒุจุฑ ู…ู† ู†ุต ู…ุธุจูˆุทุŸ ุฃูˆ
232
+
233
+ 59
234
+ 00:05:22,560 --> 00:05:27,340
235
+ ู…ู…ูƒู† ูˆุงุญุฏุฉ ูŠุญูƒูŠ ู„ุฃ ุงู„ู†ุงุณ ุงู„ู„ูŠ ู…ุน ุงู„ู„ุญุธุงุช ุงู„ุฃุฎูŠุฑุฉ
236
+
237
+ 60
238
+ 00:05:27,340 --> 00:05:32,300
239
+ ุฃู‚ู„ ู…ู† ู†ุต ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† 50% ู…ู† ุงู„ุณูƒุงู† ู…ุน ุงู„ู„ุญุธุงุชุŒ
240
+
241
+ 61
242
+ 00:05:32,300 --> 00:05:35,880
243
+ ุจุฃูŠุฏ ูŠุนู†ูŠุŒ ุฃู‚ู„ ู…ู† ู†ุต ูˆุงุญุฏ ุชุงู†ูŠ ุญูƒูŠ ุฃู†ุง ู…ุด ุนุงุฑู
244
+
245
+ 62
246
+ 00:05:35,880 --> 00:05:39,480
247
+ ู…ุนู†ู‰ ู…ุด ุนุงุฑู ูŠุนู†ูŠ ุฅูŠุด ู„ุง ูŠุณุงูˆูŠ ู„ุฅู† ุฃู†ุง ู…ุด ุนุงุฑู
248
+
249
+ 63
250
+ 00:05:39,480 --> 00:05:44,260
251
+ ุฃุญุฏุฏ ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ูู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู„ูŠ ุฃู†ุง ุจุนู…ู„ู‡ testing
252
+
253
+ 64
254
+ 00:05:44,260 --> 00:05:49,400
255
+ ุฅู…ุง ูŠูƒูˆู† ุงู„ุนุงู„ู…ูŠู†ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุงู„ proportion ุทูŠุจ
256
+
257
+ 65
258
+ 00:05:49,400 --> 00:05:54,600
259
+ ุฎู„ูŠู†ูŠ ุฃุณุฃู„ ู†ู‚ุทุฉ ุฃุฎุฑู‰ ุนุดุงู† ุฃุจุฏุฃ ุฃุดุฑุญู‡ุง ุงู„ testing
260
+
261
+ 66
262
+ 00:05:54,600 --> 00:05:59,520
263
+ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ู„ู„ population ูˆ ู„ู„ sample ุฃู†ุง ุจุนู…ู„
264
+
265
+ 67
266
+ 00:05:59,520 --> 00:06:04,460
267
+ ุฏุงูŠู…ุง ุงุฎุชุจุงุฑ ู„ุดูŠุก ู…ุฌู‡ูˆู„ ุงู† ู‡ูˆ ุงู„ sample ููŠ ุฅูŠุฏูƒ
268
+
269
+ 68
270
+ 00:06:04,460 --> 00:06:12,280
271
+ ู…ุธุจูˆุทุฎู„ู‘ูŠู†ูŠ ุฃุฎุฏ ุฑุฃูŠ ุงู„ู†ุงุณุŒ ุจุงุฎุฏ ุฌุฒุกุŒ ุจุงุฎุฏ ุฌุฒุก
272
+
273
+ 69
274
+ 00:06:12,280 --> 00:06:16,100
275
+ ูˆุนุงูŠุฒ ุฌุฒุก ุฃุนุงู…ู„ ู…ุนุงู„ู…ูŠู† ุนู„ู‰ ุงู„ูƒู„ ูุจุงู„ุชุงู„ูŠ ุจุนู…ู„
276
+
277
+ 70
278
+ 00:06:16,100 --> 00:06:19,440
279
+ ุฏุงูŠู…ุง testing about population parameter ู„ู„ู…ุฌุชู…ุน
280
+
281
+ 71
282
+ 00:06:19,440 --> 00:06:25,660
283
+ ู†ูุณู‡ุŒ ุงู„ู…ุฌุชู…ุน is unknownุŒ ู…ุธุจูˆุทุŸ ูุจุงู„ุชุงู„ูŠ ูƒู„ ุงู„
284
+
285
+ 72
286
+ 00:06:25,660 --> 00:06:28,300
287
+ testing ุชุจุนู†ุง should be about population parameter
288
+
289
+ 73
290
+ 00:06:28,300 --> 00:06:32,560
291
+ ุฅุฐุง ูƒู„ ุญู†ุนู…ู„ู‡ุŒ ู‡ูƒูˆู† ููŠ ุนู†ุฏูƒ claim ู…ุนูŠู† ูˆุนุงูŠุฒ ุฃุนู…ู„
292
+
293
+ 74
294
+ 00:06:32,560 --> 00:06:38,040
295
+ testing ู„ู‡ู„ุญุธ ุงูˆ ู„ุงุญุธ ุงู†ุง ู…ุฑุฉ ุญูƒูŠุช ู…ูŠู† ุจูŠุณุงูˆูŠ ู…ูŠุฉ
296
+
297
+ 75
298
+ 00:06:38,040 --> 00:06:41,260
299
+ ู…ู‚ุงุจู„ ู„ุง ูŠุณุงูˆูŠ ู…ูŠู† ุจูŠุณุงูˆูŠ ุนุดุฑ ู…ู‚ุงุจู„ ุงู‚ู„ ู…ูŠู† ุจูŠุณุงูˆูŠ
300
+
301
+ 76
302
+ 00:06:41,260 --> 00:06:44,340
303
+ ุฎู…ุณูŠู† ู…ู‚ุงุจู„ ุงูƒุจุฑ ูุจุนู…ู„ testing ู„ two hypotheses
304
+
305
+ 77
306
+ 00:06:44,340 --> 00:06:49,500
307
+ ูˆุงุญุฏุฉ ู‡ู†ุณู…ูŠู‡ุง ุจุงุณู… null hypothesis null ูŠุนู†ูŠ ูุฑุถูŠุฉ
308
+
309
+ 78
310
+ 00:06:49,500 --> 00:06:52,460
311
+ ุตูุฑูŠุฉ ูˆุงู„ุชุงู†ูŠ ุจูŠุณู…ูŠู‡ุง alternative hypothesis ูุฑุถูŠุฉ
312
+
313
+ 79
314
+ 00:06:52,460 --> 00:06:56,480
315
+ ู…ุฏูŠู„ุฉ ููƒู„ ู…ุง ู‡ู†ุนู…ู„ู‡ ู‡ูˆ testing about two
316
+
317
+ 80
318
+ 00:06:56,480 --> 00:07:01,500
319
+ parameterspopulation mean ูˆ population proportion
320
+
321
+ 81
322
+ 00:07:01,500 --> 00:07:04,380
323
+ ูˆ ู‡ุฏูˆู„ ุงู„ุชูŠู† ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุจุงู„ุชูุตูŠู„ ููŠ chapter ูˆูŠู†ุŸ
324
+
325
+ 82
326
+ 00:07:04,380 --> 00:07:06,680
327
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
328
+
329
+ 83
330
+ 00:07:06,680 --> 00:07:08,920
331
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
332
+
333
+ 84
334
+ 00:07:08,920 --> 00:07:11,480
335
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
336
+
337
+ 85
338
+ 00:07:11,480 --> 00:07:14,900
339
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
340
+
341
+ 86
342
+ 00:07:14,900 --> 00:07:15,860
343
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
344
+
345
+ 87
346
+ 00:07:15,860 --> 00:07:16,340
347
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
348
+
349
+ 88
350
+ 00:07:16,340 --> 00:07:17,400
351
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
352
+
353
+ 89
354
+ 00:07:23,150 --> 00:07:26,830
355
+ ู„ู„ population parameters ุฎู„ุงุตุŸ ุฅุฐุง ุงู„ุชูˆุฒูŠุน ุงู„ู…ุนูŠู†
356
+
357
+ 90
358
+ 00:07:26,830 --> 00:07:29,410
359
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ุจุนู…ู„ู‡ ู„ ุงู„ mean ุชุจุน ุงู„ sample
360
+
361
+ 91
362
+ 00:07:29,410 --> 00:07:33,110
363
+ ุฃูˆ ุงู„ proportion ุชุจุน ุงู„ sample ู‡ู†ุง ุจุนู…ู„ ู„ mean ู„ู„
364
+
365
+ 92
366
+ 00:07:33,110 --> 00:07:37,190
367
+ population ูƒูƒู„ ุนุดุงู† ุฃู…ูŠุฒ ุจุงู„ุงุชู†ูŠู† ุฎู„ุงุตุŸ ู‡ุฐู‡ ู…ู‚ุฏู…ุฉ
368
+
369
+ 93
370
+ 00:07:37,190 --> 00:07:41,110
371
+ ูƒุงู† ู„ุงุจุฏ ู…ู†ู‡ุง ุฅุฐุง ุฃู†ุช ุนู†ุฏูƒ ุชุตูˆุฑ ู…ุนูŠู† ุนู† ุงู„ู…ูˆุถูˆุน
372
+
373
+ 94
374
+ 00:07:41,110 --> 00:07:48,610
375
+ ุงู„ู„ูŠ ุฃู†ุง ู‡ุจุฏุฃ ุฃุดุฑุญู‡ุงู‡ู†ุงูƒ ุฎู…ุณ ุงู‡ุชู…ุงู… ุณู†ุบุทูŠ ููŠ ู‡ุฐู‡
376
+
377
+ 95
378
+ 00:07:48,610 --> 00:07:52,730
379
+ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ุงู„ุฃูˆู„ ุซู„ุงุซุฉ ุงู„ุฃุณุงุณูŠูŠู† ู„ู„ุชุฌุงุฑุจ
380
+
381
+ 96
382
+ 00:07:52,730 --> 00:07:57,710
383
+ ุงู„ู‡ูŠุจูˆุทูŠุณูŠุฉ ุงู„ูŠูˆู… ุณู†ุบุทูŠ ู‡ุฐุง ุงู„ู‡ุชู…ุงู… ุงู„ุซุงู†ูˆูŠุฉ ู‡ูŠ
384
+
385
+ 97
386
+ 00:07:57,710 --> 00:08:00,830
387
+ ูƒูŠู ุชุณุชุฎุฏู… ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุทูŠุณูŠุฉ ู„ุชุฌุงุฑุจ ู…ูŠุงู† ุฃูˆ ุชุฌุงุฑุจ
388
+
389
+ 98
390
+ 00:08:00,830 --> 00:08:02,450
391
+ ุชุฌุงุฑุจ ู…ูŠุงู† ุงูˆ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ู…ูŠุงู† ุงูˆ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
392
+
393
+ 99
394
+ 00:08:02,450 --> 00:08:05,590
395
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
396
+
397
+ 100
398
+ 00:08:05,590 --> 00:08:05,630
399
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
400
+
401
+ 101
402
+ 00:08:05,630 --> 00:08:08,340
403
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑmean
404
+
405
+ 102
406
+ 00:08:08,340 --> 00:08:12,240
407
+ and I mean population mean so indeed we are
408
+
409
+ 103
410
+ 00:08:12,240 --> 00:08:14,260
411
+ talking about population mean and population
412
+
413
+ 104
414
+ 00:08:14,260 --> 00:08:18,520
415
+ proportion number three the assumptions of each
416
+
417
+ 105
418
+ 00:08:18,520 --> 00:08:21,680
419
+ hypothesis testing procedure ุงูŠุด ุงู„ูุฑุถูŠุงุช ุงู„ู„ุงุฒู…ุฉ
420
+
421
+ 106
422
+ 00:08:21,680 --> 00:08:24,940
423
+ ุงูˆ ุงู„ุงูุชุฑุงุถุงุช how to evaluate them ูƒูŠู ู…ู…ูƒู† ู†ุนู…ู„
424
+
425
+ 107
426
+ 00:08:24,940 --> 00:08:27,760
427
+ ุนู…ู„ูŠุฉ ุชู‚ูŠูŠู… ู„ู‡ู… and the consequences ุงูŠุด ุจุนุฏ ุงู„
428
+
429
+ 108
430
+ 00:08:27,760 --> 00:08:33,340
431
+ consequences ุงู„ุงุซุงุฑ if they are seriously violated
432
+
433
+ 109
434
+ 00:08:33,340 --> 00:08:40,740
435
+ ูŠุนู†ูŠ ุงูŠุด ู…ู…ูƒู† ูŠุญุตู„ ุงุฐุง ุชู…violated ูŠุนู†ูŠ ุงุฎุชุฑู‚ ุงูˆ
436
+
437
+ 110
438
+ 00:08:40,740 --> 00:08:47,080
439
+ ุงู†ุชู‡ุงูƒ ุจุณ ุจุดูƒู„ seriously ูŠุนู†ูŠ ุจุดูƒู„ ู‚ูˆูŠ ู‡ุฏูˆู„ ุงู„
440
+
441
+ 111
442
+ 00:08:47,080 --> 00:08:49,020
443
+ three objectives we will start with the first one
444
+
445
+ 112
446
+ 00:08:49,020 --> 00:08:54,780
447
+ we will start with definition of hypothesis ู„ุญุธุฉ
448
+
449
+ 113
450
+ 00:08:54,780 --> 00:08:58,740
451
+ ุญุณุจ ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠุชู‡ ุงู„ definition ุณุชูƒูˆู† ุณู‡ู„ุฉ what
452
+
453
+ 114
454
+ 00:08:58,740 --> 00:09:02,960
455
+ is a hypothesis ู…ุงุฐุง ู†ู‚ุตุฏ ุจุงู„ูุฑุถูŠุฉ a hypothesis is
456
+
457
+ 115
458
+ 00:09:02,960 --> 00:09:10,300
459
+ a claim claim ู…ุนู†ุงู‡ ุงุฏุนุงุกุฃูˆ assertion .. assertion
460
+
461
+ 116
462
+ 00:09:10,300 --> 00:09:18,820
463
+ ุชุฃูƒูŠุฏ about population parameter ุฒู…ุงู† ูƒุฏู‡ ุนุจุงุฑุฉ ุนู†
464
+
465
+ 117
466
+ 00:09:18,820 --> 00:09:24,660
467
+ ุงูุชุฑุถูŠุฉ about claim about ู…ูŠู† population parameter
468
+
469
+ 118
470
+ 00:09:24,660 --> 00:09:29,520
471
+ ุญูˆู„ ุงู„ parameter ู„ู…ูŠู† ู„ู„ population for example if
472
+
473
+ 119
474
+ 00:09:29,520 --> 00:09:34,050
475
+ you are talking about population meanู…ุซู„ู‹ุงุŒ ู‚ุงู†ูˆู†
476
+
477
+ 120
478
+ 00:09:34,050 --> 00:09:42,450
479
+ ุงู„ู‡ุงุชู ุงู„ุฃุณุงุณูŠ ููŠ ู‡ุฐู‡ ุงู„ู…ุฏูŠู†ุฉ 42$ ุจูŠุญูƒูŠ .. ุจุชุนุฑููˆุง
480
+
481
+ 121
482
+ 00:09:42,450 --> 00:09:52,330
483
+ ุงู„ cell phone ุงู„ู„ูŠ ู‡ูŠ ุงู„ cell ูˆ ุงู„ phone ุงุฎุชุตุงุฑ
484
+
485
+ 122
486
+ 00:09:52,330 --> 00:09:56,970
487
+ ุจูŠุนุทูŠู‡ุง cell ุงู„ cell phone ุจุชุนุฑู ุงู„ build ุณุจุนุชู‡ ูˆ
488
+
489
+ 123
490
+ 00:09:56,970 --> 00:10:00,050
491
+ ุจูŠุญูƒูŠ ููŠ ุงู„ู…ุชูˆุณุท ููŠ ุงู„ู…ุฏูŠู†ุฉ ูƒู„ู‡ุง ุจูŠุญูƒูŠ ุนู„ู‰ ุงู„
492
+
493
+ 124
494
+ 00:10:00,050 --> 00:10:04,940
495
+ entire populationุงู„ูุชูˆุฑุฉ ุชุฌูŠ ุนู„ู‰ ุงู„ุฌูˆุงู„ ุญูˆุงู„ูŠ 42$
496
+
497
+ 125
498
+ 00:10:04,940 --> 00:10:10,700
499
+ ุฅุฐุง ุงู„ุฅุฏุนุงุก ุงู„ุงู† ุงู„ mean equal 42$ ุงุชูƒู„ู… ุนู†
500
+
501
+ 126
502
+ 00:10:10,700 --> 00:10:14,820
503
+ population mean ูƒูŠู ุนุฑูุช population meanุŸ ู…ุงุญูƒุงุด
504
+
505
+ 127
506
+ 00:10:14,820 --> 00:10:20,540
507
+ ุงู„ ..ุงู„ูุงู† ุณู„ุจู‰ ู„ .. ู…ุซู„ุง ู„ู„ู†ุงุณ ุงู„ู„ู‰ ุนู…ุฑู‡ู… ู…ู† 25 ู„
508
+
509
+ 128
510
+ 00:10:20,540 --> 00:10:25,400
511
+ 45 ุญูƒู‰ ู„ู…ูŠู†ุŸ ู„ูƒู„ ุงู„ู†ุงุณุŒ ู„ูƒู„ ุงู„ cityุŒ ู„ูƒู„ ุงู„ุจู„ุฏ
512
+
513
+ 129
514
+ 00:10:25,400 --> 00:10:27,700
515
+ ูุจุงู„ุชุงู„ูŠ ุงู„ู„ู‰ ุจุญูƒูŠ ุนู„ู‰ ุงู„ population ู…ูŠู†ุŸ it is a
516
+
517
+ 130
518
+ 00:10:27,700 --> 00:10:31,080
519
+ miuic by 42 keep in mind hypothesis is a claim
520
+
521
+ 131
522
+ 00:10:31,080 --> 00:10:34,890
523
+ about population parameter ุญุงูˆู„ ..ุงู„ population
524
+
525
+ 132
526
+ 00:10:34,890 --> 00:10:39,510
527
+ ุจุฑุงู…ุชู‡ุง population proportion ุจุชูƒู„ู… ุนู† ู†ุณุจุฉ for
528
+
529
+ 133
530
+ 00:10:39,510 --> 00:10:42,670
531
+ example suppose the proportion of adults in this
532
+
533
+ 134
534
+ 00:10:42,670 --> 00:10:48,670
535
+ city with cell phones is 68% ุจุญูƒูŠ ุจุงูุชุฑุงุถ ุฃู† ู†ุณุจุฉ
536
+
537
+ 135
538
+ 00:10:48,670 --> 00:10:53,610
539
+ ุงู„ุจุงู„ุบูŠู† ุงู„ู„ูŠ ุนู†ุฏู‡ู… cell phone ุจูŠุณุงูˆุฉ 68% ุฅุฐุง ุฃู†ุง
540
+
541
+ 136
542
+ 00:10:53,610 --> 00:10:58,450
543
+ ุจุชูƒู„ู… ุนู„ู‰ population proportion ุฅุฐุง ู‡ูŠ ุงู„ุดุบู„ุชูŠู†
544
+
545
+ 137
546
+ 00:10:58,450 --> 00:11:02,410
547
+ ุงู„ู„ูŠ ุนุงูŠุฒูŠู†ู‡ู… ู…ุฑุฉ ุนู„ู‰ ู…ูŠู† ูˆู…ุฑุฉ ุนู„ู‰ ุงู„ population
548
+
549
+ 138
550
+ 00:11:02,410 --> 00:11:06,320
551
+ proportionุนุดุงู† ูƒุฏู‡ ูƒุงู† ุดุทุฑ ุงู„ุณุงุจุนุฉ ู…ุชูƒู„ู… ุฌุฒุก
552
+
553
+ 139
554
+ 00:11:06,320 --> 00:11:11,200
555
+ Sampling ู„ู„ู…ูŠู†ุŸ Sampling ู„ู„ู€ Sample Proportion ุฅุฐุง
556
+
557
+ 140
558
+ 00:11:11,200 --> 00:11:14,820
559
+ ุงู„ hypothesis is a claim about a population
560
+
561
+ 141
562
+ 00:11:14,820 --> 00:11:19,440
563
+ parameter now there is a new definition it's
564
+
565
+ 142
566
+ 00:11:19,440 --> 00:11:23,460
567
+ called the null hypothesis null hypothesis ูŠุนู†ูŠ
568
+
569
+ 143
570
+ 00:11:23,460 --> 00:11:29,700
571
+ ุฅูŠุด null hypothesis ูุฑุถูŠุฉ ุตูุฑูŠุฉ ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ุฅุฐุง
572
+
573
+ 144
574
+ 00:11:29,700 --> 00:11:33,020
575
+ ููŠ ุนู†ุฏ ุฃูˆู„ definition the null hypothesis
576
+
577
+ 145
578
+ 00:11:36,620 --> 00:11:41,240
579
+ ุงู„ู€ null hypothesis is usually denoted by H sub
580
+
581
+ 146
582
+ 00:11:41,240 --> 00:11:48,520
583
+ zero ุจุนุทูŠู‡ุง ุฑู…ุฒ H0 H for hypothesis and Zero for
584
+
585
+ 147
586
+ 00:11:48,520 --> 00:11:52,700
587
+ null ุงู„ู€
588
+
589
+ 148
590
+ 00:11:52,700 --> 00:12:00,380
591
+ nullุฉ ุชุนู…ู„ ุงู„ู€ claim ุชูƒุชุจ ุงู„ู€ claim or assertion
592
+
593
+ 149
594
+ 00:12:00,380 --> 00:12:05,220
595
+ to be tested ุงู„ุงุฏุนุงุก ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑู‡is an
596
+
597
+ 150
598
+ 00:12:05,220 --> 00:12:09,260
599
+ exclaim or assertion to be tested for example the
600
+
601
+ 151
602
+ 00:12:09,260 --> 00:12:16,560
603
+ mean diameter of manufactured bolt is 30 milli so
604
+
605
+ 152
606
+ 00:12:16,560 --> 00:12:23,160
607
+ this means mu equal 30 ุจุญูƒูŠ ุงู†ู‡ ุงู„ diameter ุนุงุฑูุด
608
+
609
+ 153
610
+ 00:12:23,160 --> 00:12:28,160
611
+ ู…ุนุงู‡ ุงู„ diameter ุงู„ู‚ุทุฑ ุงู„ู‚ุทุฑ ู„ู…ูŠู† ุงู„ bolt ู…ุนู†ุงู‡
612
+
613
+ 154
614
+ 00:12:28,160 --> 00:12:28,440
615
+ ุงูŠุด
616
+
617
+ 155
618
+ 00:12:32,810 --> 00:12:39,390
619
+ ุฃูŠ ุตูˆุฑุฉ ุนู†ุฏูƒุŸ ุตูˆุฑุฉ ุจุชุณุงุนูŠ ุจุฑุบูŠ ุจูˆู„ุช ู…ุนู†ุงู‡ุง ุจุฑุบูŠ
620
+
621
+ 156
622
+ 00:12:39,390 --> 00:12:43,550
623
+ the mean diameter of manufacturing bolt is 30
624
+
625
+ 157
626
+ 00:12:43,550 --> 00:12:46,350
627
+ millimeter ุญุชู‰ ูˆ ุฃู†ุง ู…ุด ุนุงุฑู ู…ุนู†ุงู‡ุง .. ู…ุนู†ุงู‡ุง
628
+
629
+ 158
630
+ 00:12:46,350 --> 00:12:50,390
631
+ ุงู„ูƒู„ู…ุฉ ู…ู† ุงู„ุณูŠุงู‚ ุฃู†ุง ุจุชูƒู„ู… ุนู„ูŠู‡ุด ุงู„ mean ู‡ุงูŠ ุงู„
632
+
633
+ 159
634
+ 00:12:50,390 --> 00:12:56,450
635
+ mean ุฃู†ุง ุนุงูŠุฒู‡ุง ูˆ ุญูƒู‰ ุจุดูƒู„ ุนุงู… ู„ู„ู…ุณุงู…ูŠู† ุฃูˆ ู„ู„ุจุฑุงุฌุน
636
+
637
+ 160
638
+ 00:12:56,450 --> 00:13:02,000
639
+ ุงู„ู…ุตู†ุนุฉ ุงู„ู‚ุฏุฑ ุชุจุนู‡ุง ุชู„ุงุชูŠู† millimeterููŠ ุงู„ู€ 30 ุฅุฐุง
640
+
641
+ 161
642
+ 00:13:02,000 --> 00:13:06,520
643
+ ุงู„ู€ H0ยต equal 13 ุฅุฐุง ุงู„ู€ null hypothesis just for
644
+
645
+ 162
646
+ 00:13:06,520 --> 00:13:10,160
647
+ example states the claim or assertion to be tested
648
+
649
+ 163
650
+ 00:13:10,160 --> 00:13:13,440
651
+ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ุดุฑูƒุฉ ุจุชุญูƒูŠ ุฅู† ู‚ุทุฑ ุงู„ุจุฑุบูŠ ุจูŠุณูˆุก 30
652
+
653
+ 164
654
+ 00:13:13,440 --> 00:13:17,040
655
+ millimeters ุฅุฐุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ claim ุงู„ู€ null
656
+
657
+ 165
658
+ 00:13:17,040 --> 00:13:19,740
659
+ hypothesis is always about a population parameter
660
+
661
+ 166
662
+ 00:13:19,740 --> 00:13:24,160
663
+ not about simple statistic and we know that we can
664
+
665
+ 167
666
+ 00:13:24,160 --> 00:13:26,180
667
+ distinguish between population parameter and
668
+
669
+ 168
670
+ 00:13:26,180 --> 00:13:30,080
671
+ simple statisticPopulation parameter is computed
672
+
673
+ 169
674
+ 00:13:30,080 --> 00:13:33,160
675
+ from a value computed from the population while
676
+
677
+ 170
678
+ 00:13:33,160 --> 00:13:36,820
679
+ sample statistic is a value computed from a sample
680
+
681
+ 171
682
+ 00:13:36,820 --> 00:13:40,040
683
+ ูุฑู‚ ุจูŠู†ู‡ู… ุฃุฎุฏู†ุง ู‚ุจู„ู‡ุง ุงู„ population ูˆ ุงู„ statistic
684
+
685
+ 172
686
+ 00:13:40,040 --> 00:13:43,940
687
+ ุงู„ population ุจุญุณุจ ู„ู„ู…ุฌุชู…ุน ูƒู„ู‡ ูˆ ุงู„ statistic ู„ู…ู†ุŸ
688
+
689
+ 173
690
+ 00:13:43,940 --> 00:13:50,620
691
+ ู„ู„ุนูŠู†ุฉ ู„ู„ samples ูู…ู…ูƒู† ุฃุญูƒูŠ mu equal to 30 ุจุณ
692
+
693
+ 174
694
+ 00:13:50,620 --> 00:13:56,000
695
+ ู…ู…ูƒู† ุฃุญูƒูŠ x bar equal to 30ู„ุฃู†ู‡ ู†ุญูƒูŠ ุฏุงูŠู…ุงู‹ claim
696
+
697
+ 175
698
+ 00:13:56,000 --> 00:14:00,320
699
+ about population parameter ุงู„ู„ูŠ ู‡ูˆ mu not x bar
700
+
701
+ 176
702
+ 00:14:10,450 --> 00:14:13,150
703
+ Always we begin with the assumption that the null
704
+
705
+ 177
706
+ 00:14:13,150 --> 00:14:16,670
707
+ hypothesis is true ุฏู‡ ุงูุชุฑุถ ุงู† ุงู„ null hypothesis
708
+
709
+ 178
710
+ 00:14:16,670 --> 00:14:20,970
711
+ is true ูŠุนู†ูŠ ู†ุงุฎุฏ ุงู„ุฏุนุงุก ุงู„ุตุญูŠุญ ูŠุนู†ูŠ ู…ุฌุฑุฏ ุดุฑูƒุฉ
712
+
713
+ 179
714
+ 00:14:20,970 --> 00:14:26,270
715
+ ุญูƒุงูŠุฉ ู‡ูŠูƒ ู†ุนุชุจุฑ ุงู„ุฏุนุงุก ูˆ ู…ุงู„ู‡ ุณู„ูŠู… Similar to the
716
+
717
+ 180
718
+ 00:14:26,270 --> 00:14:29,750
719
+ notion of innocent until proven guilty ุชุฑู‰ ููŠ ุนุงุฏุฉ
720
+
721
+ 181
722
+ 00:14:29,750 --> 00:14:34,310
723
+ ููŠ ุงู„ู…ุญุงูƒู… ุงู„ู‚ุงุถูŠ ุจูŠูุชุฑุถ ุงู† ุงู„ defendant ุงูˆ ุงู„ู…ุฏุนู‰
724
+
725
+ 182
726
+ 00:14:34,310 --> 00:14:39,620
727
+ ุนู„ูŠู‡ ู…ุงู„ู‡ุจุฑูŠุก ู…ุด ู‡ูŠูƒ ู„ุฃู† ุจูŠุญูƒูŠ ุฏุงูŠู…ุง ุงู„ H0 ุงู„
728
+
729
+ 183
730
+ 00:14:39,620 --> 00:14:45,340
731
+ defendant is
732
+
733
+ 184
734
+ 00:14:45,340 --> 00:14:50,360
735
+ innocent ู…ุด ู‡ูŠูƒ until proven his guilty ูŠุนู†ูŠ
736
+
737
+ 185
738
+ 00:14:50,360 --> 00:14:56,080
739
+ ุงู„ู…ุชู‡ู… ุจุฑูŠุก ู„ุบุงูŠุฉ ู…ุงุชุช ุจุชุฏุงู†ุชู‡ ุฏุงูŠู…ุง we assume the
740
+
741
+ 186
742
+ 00:14:56,080 --> 00:14:58,540
743
+ null hypothesis is true ุฏุงูŠู…ุง ุงูุชุฑุถ ุงู† ุงู„ูุฑุถูŠุฉ
744
+
745
+ 187
746
+ 00:14:58,540 --> 00:15:00,400
747
+ ุงู„ุตูุฑูŠุฉ ู…ุงู„ู‡ุง ุตุญูŠุญุฉ
748
+
749
+ 188
750
+ 00:15:02,470 --> 00:15:05,790
751
+ refers to the status quo or historical value ุฏุงูŠู…ุง
752
+
753
+ 189
754
+ 00:15:05,790 --> 00:15:13,510
755
+ ุจุงุฎุฏู‡ุง ู‡ุงุฌู… ูŠุณู…ูŠู‡ุง value historical value this
756
+
757
+ 190
758
+ 00:15:13,510 --> 00:15:18,790
759
+ value is always known ูƒูˆ ู…ุนุฑูˆูุฉ ุจุญูƒูŠ ู…ุซู„ุง ู‚ุทุฑ
760
+
761
+ 191
762
+ 00:15:18,790 --> 00:15:21,750
763
+ ุงู„ุจุฑุฌ ุจูŠุณุงูˆูŠ ุชู„ุงุชูŠู† ู…ู„ูŠู…ุชุฑ ู…ุนุฑูˆู ุงู„ู‚ุทุฑ ุจูŠุณุงูˆูŠ
764
+
765
+ 192
766
+ 00:15:21,750 --> 00:15:27,830
767
+ ุชู„ุงุชูŠู† ู…ู„ูŠู…ุชุฑ in general always contains equal
768
+
769
+ 193
770
+ 00:15:27,830 --> 00:15:34,580
771
+ sign ุฏุงูŠู…ุง ููŠ ุนู„ุงู…ุฉ ูŠุณุงูˆูŠ ุงูˆless than or equal
772
+
773
+ 194
774
+ 00:15:34,580 --> 00:15:38,680
775
+ less than
776
+
777
+ 195
778
+ 00:15:38,680 --> 00:15:48,520
779
+ or equal or greater than or equal ูŠุนู†ูŠ
780
+
781
+ 196
782
+ 00:15:48,520 --> 00:15:50,320
783
+ ุฏุงูŠู…ุง ููŠู‡ุง ุนู„ุงู…ุฉ ุงู„ู„ูŠ ูŠุณุงูˆูŠ ุงู…ุง
784
+
785
+ 197
786
+ 00:16:04,450 --> 00:16:07,610
787
+ ุฃูˆ less than or equal to 30 or greater than ..
788
+
789
+ 198
790
+ 00:16:07,610 --> 00:16:15,750
791
+ ูŠุนู†ูŠ ุฏุงุฆู…ุง ุงู„ equal sign ุงู„ equal sign appeals in
792
+
793
+ 199
794
+ 00:16:15,750 --> 00:16:21,050
795
+ H0 ูŠุนู†ูŠ ุฏุงุฆู…ุง ุฅุดุงุฑุฉ ูŠุณุงูˆูŠ ู…ุง ู„ู‡ุง ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ null
796
+
797
+ 200
798
+ 00:16:21,050 --> 00:16:27,140
799
+ hypothesismay or may not be rejected ู…ู…ูƒู† ูˆู…ู…ูƒู†
800
+
801
+ 201
802
+ 00:16:27,140 --> 00:16:32,260
803
+ ู…ุฑูุถู‡ุงุด ูŠุนู†ูŠ may or may not ู…ู…ูƒู† ุงูˆ ุบูŠุฑ ู…ู† ุงู„ู…ู…ูƒู†
804
+
805
+ 202
806
+ 00:16:32,260 --> 00:16:36,840
807
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุฑุจู…ุง rejected ุงูˆ ุฑุจู…ุง ู…ุงุนู…ู„ู‡ุงุด rejected
808
+
809
+ 203
810
+ 00:16:36,840 --> 00:16:42,260
811
+ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ู€ null hypothesis the second one is
812
+
813
+ 204
814
+ 00:16:42,260 --> 00:16:45,700
815
+ called the alternative hypothesis ุงุฐุง ููŠ ุนู†ุฏู‡ุง ุงู„
816
+
817
+ 205
818
+ 00:16:45,700 --> 00:16:48,160
819
+ null hypothesis number two the alternative
820
+
821
+ 206
822
+ 00:16:58,470 --> 00:17:03,550
823
+ ุงู„ุญูŠูˆุงู†ุงุช ู‡ูŠุจูˆุชูŠุณูŠุฉ ู…ูู‡ูˆู…ุฉ ุจู€ H1 ุŒ ู„ุฐู„ูƒ ู†ุณุชุฎุฏู… ู‡ุฐู‡
824
+
825
+ 207
826
+ 00:17:03,550 --> 00:17:10,530
827
+ ุงู„ูˆุตูุฉ H1 ู„ู„ุญูŠูˆุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู„ู„ุญูŠูˆุงู†ุงุช
828
+
829
+ 208
830
+ 00:17:10,530 --> 00:17:14,950
831
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู‡ูŠ ุนูƒุณ ุนูƒุณุฉ
832
+
833
+ 209
834
+ 00:17:14,950 --> 00:17:18,910
835
+ ู„ู„ุญูŠูˆุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุงู„ู…ูƒู…ู„ุฉ
836
+
837
+ 210
838
+ 00:17:21,020 --> 00:17:26,360
839
+ ู…ุซู„ู‹ุงุŒ ุฐูƒุฑู†ุง ู…ุฏุฑุณุฉ ู…ุตู…ู… ุงู„ุจุฑู†ุงู…ุฌ ุจูˆู„ุชุฑ ุซู„ุงุซุฉ
840
+
841
+ 211
842
+ 00:17:26,360 --> 00:17:33,020
843
+ ูˆุซู„ุงุซุฉ. ุงู„ุขู†ุŒ ู„ู„ุญูŠูˆุงู†ุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ุงู„ู€ H1 ู…ูŠูˆ ู„ุง
844
+
845
+ 212
846
+ 00:17:33,020 --> 00:17:37,780
847
+ ูŠู‚ู„ ุซู„ุงุซุฉ. ู„ุฐู„ูƒุŒ ู‡ุฐุง ุนูƒุณ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุฎุงุทุฆุฉ. ููŠ
848
+
849
+ 213
850
+ 00:17:37,780 --> 00:17:40,140
851
+ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุฎุงุทุฆุฉุŒ ุงู„ู…ู‡ู… ูƒุงู† ุซู„ุงุซุฉ. ุงู„ุขู†ุŒ ุงู„ู…ู‡ู…
852
+
853
+ 214
854
+ 00:17:40,140 --> 00:17:44,390
855
+ ู„ูŠุณ ุซู„ุงุซุฉ.it's challenges that says a score ูŠุนู†ูŠ
856
+
857
+ 215
858
+ 00:17:44,390 --> 00:17:48,390
859
+ ุจูŠูƒูˆู† ุนู…ู„ูŠุฉ ุฒูŠ ุชุญุฏูŠ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูŠุนู†ูŠ ุจุนู…ู„
860
+
861
+ 216
862
+ 00:17:48,390 --> 00:17:51,270
863
+ testing ู„ู„ null against ุงู„ alternate hypothesis
864
+
865
+ 217
866
+ 00:17:51,270 --> 00:17:55,390
867
+ never contains an equal sign ูŠุนู†ูŠ ุนู…ุฑู‡ ุจูƒูˆู† ููŠ
868
+
869
+ 218
870
+ 00:17:55,390 --> 00:17:59,210
871
+ ุนู†ุฏู‰ ุงู„ equal sign ุฃูˆ less than or equal or
872
+
873
+ 219
874
+ 00:17:59,210 --> 00:18:03,110
875
+ greater than or equal ุทุจ ุฅูŠุด ุจูŠูƒูˆู† ููŠู‡ุง ู…ูˆุฌูˆุฏุŸ ุฃู‡
876
+
877
+ 220
878
+ 00:18:03,110 --> 00:18:07,650
879
+ ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ููŠู‡ุง ู„ุง ูŠุณุงูˆูŠ ูˆ ุฅูŠุด ุชุงู†ูŠุŸ ุฃูƒุจุฑ ุฃูˆ ุฃุฒุฑุฑ
880
+
881
+ 221
882
+ 00:18:07,650 --> 00:18:10,350
883
+ ูŠุนู†ูŠ ู‡ูŠ compliment ุจุณ ุฅุฐุง ูƒุงู† ููŠู‡ ูŠุณุงูˆูŠ ุฅูŠุด ุงู„
884
+
885
+ 222
886
+ 00:18:10,350 --> 00:18:13,840
887
+ compliment ุชุจุนู‡ุŸู„ุฃ ูŠุณุงูˆูŠ ู…ุธู„ูˆูƒุŒ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช
888
+
889
+ 223
890
+ 00:18:13,840 --> 00:18:18,020
891
+ ุงู„ู…ุซู„ุฉ ููŠ ุงู„ null ูŠุณุงูˆูŠุŒ ุฅูŠุด ุจุชูƒูˆู† ุงู„ alternateุŸ
892
+
893
+ 224
894
+ 00:18:18,020 --> 00:18:21,800
895
+ ู…ุฑุชูŠู† ูŠุนู†ูŠุŒ ู‡ุงูŠ ุงู„ signุŒ ู‡ุงูŠ ุงู„ table ู‡ูŠูƒ ุตุบูŠุฑุฉุŒ
896
+
897
+ 225
898
+ 00:18:21,800 --> 00:18:30,060
899
+ sign H0, H1ุŒ ู„ูˆ ูƒุงู†ุช ุงู„ sign ูŠุณุงูˆูŠ ููŠ
900
+
901
+ 226
902
+ 00:18:30,060 --> 00:18:35,020
903
+ ุงู„ alternateุŒ ู„ูˆ ูƒุงู† ูŠุณุงูˆูŠ ู‡ู†ุงุŒ ุฅูŠุด ู‡ุชูƒูˆู† ููŠ ุงู„
904
+
905
+ 227
906
+ 00:18:35,020 --> 00:18:41,070
907
+ H1ุŸ ู„ุฃ ูŠุณุงูˆูŠู„ูˆ ูƒุงู†ุช ููŠ ุงู„ู€ Optional greater than
908
+
909
+ 228
910
+ 00:18:41,070 --> 00:18:45,930
911
+ or equal to ุฅูŠุด ุจุชูƒูˆู† ู‡ู†ุงุŸ ุฃู†ุง ุจุญูƒูŠ opposite ุฅูŠุด
912
+
913
+ 229
914
+ 00:18:45,930 --> 00:18:49,390
915
+ ู…ุนู†ู‰ opposite ุฃูˆ complementุŸ ุจุชูƒู…ู„ ุฅุฐุง ูƒุงู†ุช ู‡ุฐุง
916
+
917
+ 230
918
+ 00:18:49,390 --> 00:18:52,790
919
+ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุฅูŠุด ู‡ูŠ ุงู„ู…ูƒู…ู„ุฉ ุฅู„ูŠู‡ุงุŸ less thanุŒ ู„ูˆ
920
+
921
+ 231
922
+ 00:18:52,790 --> 00:18:58,430
923
+ ูƒุงู†ุช less ุฃูˆ ูŠุณุงูˆูŠุŸ correctุŒ ุฃูŠ ู…ุนู†ู‰ุŒ ู„ุญุธุฉ ุงู„
924
+
925
+ 232
926
+ 00:18:58,430 --> 00:19:01,070
927
+ equal sign appears under the null hypothesis
928
+
929
+ 233
930
+ 00:19:01,070 --> 00:19:06,630
931
+ ุฅุดุงุฑุชูŠ ุงู„ูŠุณุงูˆูŠุŒ ู…ูˆุฌูˆุฏ under ุงู„ H0 whileEach one
932
+
933
+ 234
934
+ 00:19:06,630 --> 00:19:10,670
935
+ does not contain equal sign ุฅุฐุง never contains
936
+
937
+ 235
938
+ 00:19:10,670 --> 00:19:15,170
939
+ ูŠุณุงูˆูŠ ุฃูˆ ุฃู‚ู„ ูŠุณุงูˆูŠ ุฃูˆ ุฃูƒุจุฑ ูŠุณุงูˆูŠ sign May or may
940
+
941
+ 236
942
+ 00:19:15,170 --> 00:19:19,510
943
+ not be proven ู„ุงุญุธ ููŠ ูุฑู‚ ููŠ ุงู„ุฃูˆู„ ุฅูŠุด ุญูƒูŠุชุŸ ุฅุฐุง
944
+
945
+ 237
946
+ 00:19:19,510 --> 00:19:23,710
947
+ ุญุฏ ู…ุด ุฐุงูƒุฑุŸ May or may not be rejected ู…ู…ูƒู† ุฃูˆ ู…ุด
948
+
949
+ 238
950
+ 00:19:23,710 --> 00:19:27,470
951
+ ู…ู…ูƒู† ุฃู†ูุถู‡ุง ู‡ู†ุง ุฅูŠุด ุจุญูƒูŠ proven ุฃุซุจุชู‡ุง
952
+
953
+ 239
954
+ 00:19:30,600 --> 00:19:33,980
955
+ ุงู„ุฎูŠุฑ ุงู„ุฃุฎูŠุฑ ู‡ูˆ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุงุช ุงู„ู…ุฎุชู„ูุฉ ู‡ูŠ ุนุงู…ุฉ
956
+
957
+ 240
958
+ 00:19:33,980 --> 00:19:38,280
959
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุงุช ุงู„ุชูŠ ูŠุญุงูˆู„ ุงู„ู…ุญู‚ู‚ ุฃู† ุชุซุจุชู‡ุง ุงู„ู…ุญู‚ู‚
960
+
961
+ 241
962
+ 00:19:38,280 --> 00:19:42,820
963
+ ุฏุงุฆู…ุง ุงู„ูุฑุถูŠุฉ ุงู„ุจุฏูŠู„ุฉ ุงู„ุจุงุญุซ ูŠุญุงูˆู„ ุฅูŠุดุŸ ูŠุซุจุชู‡ุง
964
+
965
+ 242
966
+ 00:19:42,820 --> 00:19:46,460
967
+ ู„ุฅูŠุด ูŠุซุจุชู‡ุงุŸ ู„ุฅูŠุด ูŠุซุจุชู‡ุงุŸ ู„ุฅู† ู…ุซู„ุง ุงู„ู€mean less
968
+
969
+ 243
970
+ 00:19:46,460 --> 00:19:50,800
971
+ than 10 seconds ุฃูˆ 10 days ุงู„ู€mean greater than 50
972
+
973
+ 244
974
+ 00:19:50,800 --> 00:19:54,480
975
+ ุฃูˆ ุงู„ู€mean does not equal a hundred ู„ุฐู„ูƒ ุงู„ู…ุญู‚ู‚
976
+
977
+ 245
978
+ 00:19:54,480 --> 00:19:56,540
979
+ ูŠุชู…ู†ู‰ ูƒุจูŠุฑ ู„ุฅุฏุงุฑุฉ
980
+
981
+ 246
982
+ 00:19:58,320 --> 00:20:02,020
983
+ ุงู„ุนูŠุจูˆุชูŠุฒูŠุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฃูˆ ุชุจุฑูˆุน ุงู„ุนูŠุจูˆุชูŠุฒูŠุงุช
984
+
985
+ 247
986
+ 00:20:02,020 --> 00:20:06,580
987
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุงู„ุขู† ุณูˆู ู†ุนุทูŠ ุงู„ุจุฑูˆุณูŠุณ ู„ู„ุนูŠุจูˆุชูŠุฒูŠุงุช
988
+
989
+ 248
990
+ 00:20:06,580 --> 00:20:15,440
991
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุจุทุฑูŠู‚ุฉ ุจุณูŠุทุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ูˆุถูˆุน ุนู…ุฑู‡ุง 50
992
+
993
+ 249
994
+ 00:20:15,440 --> 00:20:22,000
995
+ ุณู†ุฉ ุนู…ุฑู‡ุง 50 ุณู†ุฉ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ุณูƒุงู† ูƒู„ู‡ู… ุจุฏุฃุช ..
996
+
997
+ 250
998
+ 00:20:22,000 --> 00:20:28,130
999
+ ุงูุชุฑุถ ุงู† ุงู„ู…ุชูˆุณุท ุนู…ุงุฑู‡ู… 50 ุณู†ุฉู‡ุฐุง ู…ุนู†ุงู‡ ุงูŠุดุŸ ุงู†
1000
+
1001
+ 251
1002
+ 00:20:28,130 --> 00:20:35,670
1003
+ ุงู†ุง ุจุฏุฃ ุงุนู…ู„ testing ุงู„ู€ mean equal fifty ู„ู…ุง
1004
+
1005
+ 252
1006
+ 00:20:35,670 --> 00:20:38,350
1007
+ ุจุญูƒูŠ ุจุนู…ู„ testing ู„ู€ mean equal fifty ุงูŠุด ู‡ุชูƒูˆู†
1008
+
1009
+ 253
1010
+ 00:20:38,350 --> 00:20:41,390
1011
+ ุงู„ู€ alternative hypothesisุŸ ู‡ูŠ ุนู„ู‰ ุทูˆู„ ุงู„ู€
1012
+
1013
+ 254
1014
+ 00:20:41,390 --> 00:20:43,790
1015
+ opposite ุชุจุนุชู‡ุง ุฒูŠ ู…ุง ุญูƒูŠุช ููŠ ุงู„ุชุงุจุนุงุชุŒ ุฒูŠ ู„ุง ุฅูŠุฒุง
1016
+
1017
+ 255
1018
+ 00:20:43,790 --> 00:20:49,010
1019
+ ูŠุณุงูˆูŠุŒ ู„ุง ูŠุณุงูˆูŠ ูุง automatic ุจูƒุชุจ versusุŒ ุจุนู…ู„
1020
+
1021
+ 256
1022
+ 00:20:49,010 --> 00:20:53,830
1023
+ testing ุงุฎุชุจุงุฑ
1024
+
1025
+ 257
1026
+ 00:20:53,830 --> 00:21:00,960
1027
+ H0, mean equal fifty versusุฃูˆ against ู…ุงู†ู‡ูŠุด
1028
+
1029
+ 258
1030
+ 00:21:00,960 --> 00:21:09,780
1031
+ ู…ู‚ุงุจู„ ุงู„ H1 ู…ูŠูˆู…ูŠุงู„ู‡ุง ุชุณูˆู‰ ุฎู…ุณูŠู† I'm ุจุญูƒูŠ
1032
+
1033
+ 259
1034
+ 00:21:09,780 --> 00:21:15,900
1035
+ population mean equal fifty this fifty is called
1036
+
1037
+ 260
1038
+ 00:21:15,900 --> 00:21:17,520
1039
+ historical value
1040
+
1041
+ 261
1042
+ 00:21:20,140 --> 00:21:23,120
1043
+ ูŠุนู†ูŠ ุฅูŠุด historical valueุŸ ูŠุนู†ูŠ ู‚ูŠู…ุฉ ุฏู‡ ู†ุฌูŠุจ ุชู…ุงู…ุง
1044
+
1045
+ 262
1046
+ 00:21:23,120 --> 00:21:27,040
1047
+ ู…ู† ุฎู„ุงู„ records ู…ุนูŠู†ุฉ ุงู„ records ุชุงุฑูŠุฎูŠุง ุจุชุญูƒูŠ
1048
+
1049
+ 263
1050
+ 00:21:27,040 --> 00:21:30,640
1051
+ ู…ุชูˆุณุท ุงู„ุณูƒุงู† ุฎู…ุณูŠู† ุณู†ุฉ ุฃู†ุง ุนุงูŠุฒ ุฃุดูˆู ุฅุฐุง ูƒุงู† ู…ุชูˆุณุท
1052
+
1053
+ 264
1054
+ 00:21:30,640 --> 00:21:34,340
1055
+ ุณูƒุงู† ุฎู…ุณูŠู† ูˆู„ุง ู„ุฃ ุฅุฐุง ู…ูŠูˆ equal fifty against ู…ูŠูˆ
1056
+
1057
+ 265
1058
+ 00:21:34,340 --> 00:21:38,760
1059
+ does not equal fifty ุฅูŠุด ุจู†ุนู…ู„ุŸ ู‡ูŠ ุนู†ุฏ ุงู„
1060
+
1061
+ 266
1062
+ 00:21:38,760 --> 00:21:45,320
1063
+ population is very large ุฅูŠุด ุจุงุฎุฏ ู…ู†ู‡ุŸ sampleูˆ ู…ู†
1064
+
1065
+ 267
1066
+ 00:21:45,320 --> 00:21:48,340
1067
+ ุงู„ sample ุงูŠุด ุจุทู„ุนุŸ ุงู„ sample mean ุงุฐุง ู‡ูŠ ุงู„
1068
+
1069
+ 268
1070
+ 00:21:48,340 --> 00:21:54,040
1071
+ population ุฃุฎุฏุช ู…ู†ู‡ sample ูˆ ู…ู† ุงู„ sample ุจุทู„ุน ุงู„
1072
+
1073
+ 269
1074
+ 00:21:54,040 --> 00:21:58,100
1075
+ X ุจู‚ู‰ now
1076
+
1077
+ 270
1078
+ 00:21:58,100 --> 00:22:03,220
1079
+ for example suppose just for example ุงู„ sample
1080
+
1081
+ 271
1082
+ 00:22:03,220 --> 00:22:09,880
1083
+ mean was 20 ุฃุฎุฏุช sample ุทู„ุน ุงู„ู…ุชูˆุณุท ุชุจุนู‡ ู„ุนู…ุฑ 20
1084
+
1085
+ 272
1086
+ 00:22:09,880 --> 00:22:14,500
1087
+ ุณู†ุฉุฅูŠู‡ุŸ ู„ุฃู† ู‡ูˆ .. ู‡ูˆ ุงู„ุฅุฏุนุงุก ุฅู†ู‡ ู…ูŠู† ู…ุงู„ู‡ ุจุณูˆุก
1088
+
1089
+ 273
1090
+ 00:22:14,500 --> 00:22:20,120
1091
+ ุฎู…ุณูŠู† ู„ู…ุง ุฎุฏุช ุนูŠู†ุฉ ุทู„ุน ุนุดุฑูŠู† ุทุจ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู† ุงู„ู„ู‡
1092
+
1093
+ 274
1094
+ 00:22:20,120 --> 00:22:25,440
1095
+ ุจูŠู‚ูˆู„ ุตุญ ูˆ ู„ุง ู…ุด ุตุญุŸ ู…ุด ุตุญุŒ ูุฅู† ู‡ูˆ ุจูŠุญูƒูŠ ุฎู…ุณูŠู† ูˆ
1096
+
1097
+ 275
1098
+ 00:22:25,440 --> 00:22:30,140
1099
+ ุทู„ุนุช ุนุดุฑูŠู† ุงู„ูุฑู‚ ุจูŠู† ู…ุงู„ู‡ ูƒุจูŠุฑ ุฌุฏุงุŒ ูˆู„ุง ู„ุฃุŒ ูŠุนู†ูŠ
1100
+
1101
+ 276
1102
+ 00:22:30,140 --> 00:22:35,960
1103
+ ู†ุณุจุฉ ูˆ ุชู†ุงุซุฑ ูŠุนุชุจุฑ ูƒุจูŠุฑ ุฌุฏุง this is significantly
1104
+
1105
+ 277
1106
+ 00:22:35,960 --> 00:22:38,700
1107
+ lower than the claimed mean population of fifty
1108
+
1109
+ 278
1110
+ 00:22:38,700 --> 00:22:41,900
1111
+ ุฅู†ู‡ ุฃู‚ู„ ุจูƒุชูŠุฑุŒ ุฅูŠุด ู…ุนู†ุงู‡ significantlyุŸ
1112
+
1113
+ 279
1114
+ 00:22:44,480 --> 00:22:48,720
1115
+ ูƒุจูŠุฑ ุจุดูƒู„ ุฌูˆู‡ุฑ ูŠุนู†ูŠ ุงู„ significate ุงู„ู…ุนู†ู‰ ุฌูˆู‡ุฑูŠุง
1116
+
1117
+ 280
1118
+ 00:22:48,720 --> 00:22:53,380
1119
+ ูƒุจูŠุฑ ูˆุงุถุญ ุงู† ุงู„ 20 is significantly lower than the
1120
+
1121
+ 281
1122
+ 00:22:53,380 --> 00:22:57,100
1123
+ claimed mean age of the population age of 50 ูˆุงุถุญ
1124
+
1125
+ 282
1126
+ 00:22:57,100 --> 00:23:01,620
1127
+ ุงู† ุงุญู†ุง ููŠ ูุฑู‚ ูƒุจูŠุฑ ุฌุฏุง ุจูŠู†ู†ุง ุงู„ู„ูŠ ุงู†ุง ุจุญูƒูŠ if the
1128
+
1129
+ 283
1130
+ 00:23:01,620 --> 00:23:04,020
1131
+ null were true if the null hypothesis were true
1132
+
1133
+ 284
1134
+ 00:23:04,020 --> 00:23:08,760
1135
+ ุง๏ฟฝ๏ฟฝุง ุฏุงูŠู…ุง ุจูุชุฑุถ ุงู† ุงู„ null is true ุงู†ู‡ุง ุตุญูŠุญุฉุทุจ
1136
+
1137
+ 285
1138
+ 00:23:08,760 --> 00:23:12,860
1139
+ ุฅุฐุง ู†ุงู„ ุตุญูŠุญุฉ ุฅู†ูƒ ุชุญุตู„ ุนู„ู‰ ู…ุชูˆุณุท ุนู…ุฑ ู„ู„ุนูŠู†ุฉ ุจุณุงูˆุฉ
1140
+
1141
+ 286
1142
+ 00:23:12,860 --> 00:23:17,900
1143
+ ุนุดุฑูŠู† ุงุญุชู…ุงู„ูƒ ูƒุจูŠุฑ ูˆู„ุง ุตุบูŠุฑ ุตุบูŠุฑ ุฌุฏุง ุฅุฐุง ุงู„
1144
+
1145
+ 287
1146
+ 00:23:17,900 --> 00:23:20,720
1147
+ probability of getting such a different sample
1148
+
1149
+ 288
1150
+ 00:23:20,720 --> 00:23:24,860
1151
+ mean would be very small ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุฅุฐุง ุฃู†ุง
1152
+
1153
+ 289
1154
+ 00:23:24,860 --> 00:23:29,340
1155
+ ุจูุชุฑุถ ุงู„ mean ุจุณุงูˆุฉ ุฎู…ุณูŠู† ูˆุงุฎุฏุช ุนูŠู†ุฉ ุทู„ุนุช ุนุดุฑูŠู†
1156
+
1157
+ 290
1158
+ 00:23:29,340 --> 00:23:33,060
1159
+ ู…ุนู†ู‰ ูƒุฏู‡ ุฅู†ูƒ ุชุงุฎุฏ ุนุดุฑูŠู† ูƒุญุงุฌุฉ ู…ุนูŠู†ุฉ ุทู„ุน ู…ุนูƒ ุนุดุฑูŠู†
1160
+
1161
+ 291
1162
+ 00:23:33,060 --> 00:23:37,710
1163
+ ุงุญุชู…ุงู„ู‡ ู…ุงู„ู‡ ุตุบูŠุฑ ุฌุฏุงู‡ุฐุง ูŠุนู†ูŠ ุฃู†ูƒ ุชู†ูุฐ ู…ู† ุญูŠุงุฉ
1164
+
1165
+ 292
1166
+ 00:23:37,710 --> 00:23:40,990
1167
+ ุงู„ู€hypothesis. ู…ุน ูƒุฏู‡ ุญุฑูุถู‡ุง ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ ุทุงู„ู…ุง ุทู„ุน
1168
+
1169
+ 293
1170
+ 00:23:40,990 --> 00:23:44,370
1171
+ ู…ุงุฆุฉ ูˆ ุนุดุฑูŠู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุด ุตุญูŠุŒ ู…ุธุจูˆุทุŸ ุงู†ุง ุจูุทุฑ
1172
+
1173
+ 294
1174
+ 00:23:44,370 --> 00:23:48,110
1175
+ ุจุงู„ุณุงุนุฉ ูˆ ุฎู…ุณูŠู†ุŒ ุทู„ุน ู…ุงุฆุฉ ูˆ ุนุดุฑูŠู†ุŒ ู…ุน ูƒุฏู‡ ู…ุฆูˆ
1176
+
1177
+ 295
1178
+ 00:23:48,110 --> 00:23:51,170
1179
+ ุจุงู„ุณุงุนุฉ ูˆ ุฎู…ุณูŠู†ุŒ ุตุญูŠุญ ูˆู„ุง ุฎุงุทุฆุŸ ุบู„ุทุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ูƒ
1180
+
1181
+ 296
1182
+ 00:23:51,170 --> 00:23:54,430
1183
+ ุชู†ูุฐ ู…ู† ุญูŠุงุฉ ุงู„ู€hypothesis. in other words,
1184
+
1185
+ 297
1186
+ 00:23:54,710 --> 00:23:59,090
1187
+ getting a sum of twenty ูŠุนู†ูŠ ุชุญุตู„ ุนู„ู‰ ุนูŠู† ุญุฌู…
1188
+
1189
+ 298
1190
+ 00:23:59,090 --> 00:24:03,270
1191
+ ู…ุชูˆุณุทุฉ ุนุดุฑูŠู† is so unlikely if the population mean
1192
+
1193
+ 299
1194
+ 00:24:03,270 --> 00:24:03,890
1195
+ was fifty.
1196
+
1197
+ 300
1198
+ 00:24:06,510 --> 00:24:10,130
1199
+ ู„ูˆ ุจุงุฎุฏ ุนูŠู†ูŠ ุงุทู„ุน ู…ุนุงูŠุง ุงู„ mean ุชุจุนู‡ุง ุจุณูˆุก ุนุดุฑูŠู†
1200
+
1201
+ 301
1202
+ 00:24:10,130 --> 00:24:17,050
1203
+ ู‡ุฐุง ู…ุง ู„ู‡ unlikely ุบูŠุฑ ู…ุญุชู…ู„ if the population
1204
+
1205
+ 302
1206
+ 00:24:17,050 --> 00:24:20,310
1207
+ mean was fifty so you conclude that population
1208
+
1209
+ 303
1210
+ 00:24:20,310 --> 00:24:24,470
1211
+ mean ู…ุงู„ู‡ must not be fifty ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ู…ุนุงูŠุง ุงู†ุง
1212
+
1213
+ 304
1214
+ 00:24:24,470 --> 00:24:28,770
1215
+ ุจุนู…ู„ claim ู„ fifty ุทู„ุน twenty ุงูƒูŠุฏ ุงูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนูŠ
1216
+
1217
+ 305
1218
+ 00:24:30,980 --> 00:24:34,160
1219
+ rejected ู„ูŠุด rejected zero ู„ุฃู† ุงู„ difference
1220
+
1221
+ 306
1222
+ 00:24:34,160 --> 00:24:36,820
1223
+ between ุงู„ claim ุงู„ู„ูŠ ู‡ูˆ population mean ูˆ ุงู„
1224
+
1225
+ 307
1226
+ 00:24:36,820 --> 00:24:40,840
1227
+ sample mean ู…ุงู„ู‡ is very large again the question
1228
+
1229
+ 308
1230
+ 00:24:40,840 --> 00:24:43,980
1231
+ is how large is large enough to reject themุŸ
1232
+
1233
+ 309
1234
+ 00:24:43,980 --> 00:24:47,260
1235
+ ุงู„hypothesis ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู‚ุจู„ ู‡ูŠูƒ ุชุฐูƒุฑ how large is
1236
+
1237
+ 310
1238
+ 00:24:47,260 --> 00:24:50,140
1239
+ large enough to support the population is normally
1240
+
1241
+ 311
1242
+ 00:24:50,140 --> 00:24:55,140
1243
+ distributedุŸ ู‡ูŠ ู†ูุณ ุงู„ู‚ุตุฉ how large is largeุŸู„ุชู†ู‚ู„
1244
+
1245
+ 312
1246
+ 00:24:55,140 --> 00:24:57,860
1247
+ ุงู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ู†ู‡ุงุฆูŠุฉุŒ ู‡ุฐุง ู„ู„ูˆู‚ุช ุงู„ู‚ุงุฏู… ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ
1248
+
1249
+ 313
1250
+ 00:24:57,860 --> 00:25:02,740
1251
+ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ู…ู‡ู… ุจูŠู† ุงู„ุงุฏุนุงุก
1252
+
1253
+ 314
1254
+ 00:25:02,740 --> 00:25:06,100
1255
+ ูˆุงู„ู…ุนู†ู‰ ุงู„ุณุงู…ูŠ ู„ุฐู„ูƒ ู†ู†ู‚ู„ ุงู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ู†ู‡ุงุฆูŠุฉ
1256
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/pDhUJvfxocc_raw.srt ADDED
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1
+ 1
2
+ 00:00:21,240 --> 00:00:23,720
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ
4
+
5
+ 2
6
+ 00:00:23,720 --> 00:00:28,660
7
+ chapter ุฌุฏูŠุฏ this chapter is the main chapter in
8
+
9
+ 3
10
+ 00:00:28,660 --> 00:00:31,880
11
+ this course it talks about fundamentals of
12
+
13
+ 4
14
+ 00:00:31,880 --> 00:00:35,500
15
+ hypothesis testing in chapter 9 we are talking
16
+
17
+ 5
18
+ 00:00:35,500 --> 00:00:40,560
19
+ about just one sample test ู‡ุฐุง ูˆุงุญุฏ ุงู„ู…ูˆุถูˆุนุงุช
20
+
21
+ 6
22
+ 00:00:40,560 --> 00:00:45,320
23
+ ุจุงู„ู†ุณุจุงู„ูŠ ุงู†ู‡ุง ู…ู‡ู…ุฉ ุฌุฏุง ููŠ ุงู„ุญุตุฉ ู‡ุนุทูŠ ู…ู‚ุฏู…ุฉ ุจุงู„ู„ุบุฉ
24
+
25
+ 7
26
+ 00:00:45,320 --> 00:00:48,220
27
+ ุงู„ุนุฑุจูŠุฉ ุชู…ุงู…ุง ุงู„ุขู† ุนุดุงู† ุชุนุฑููŠ ุงูŠุด ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡
28
+
29
+ 8
30
+ 00:00:48,220 --> 00:00:54,100
31
+ ู…ู† chapter 9 ู„ุบุงูŠุฉ ู…ุง ู†ุฎู„ุตุจุงุณุงุณ ู†ูู‡ู… ุงูŠุด ุงู„ .. ุงู„
32
+
33
+ 9
34
+ 00:00:54,100 --> 00:00:57,140
35
+ .. ุงู„ concepts ุงูˆ ุงู„ fundamentals ุงุญู†ุง ู‡ู†ุงุฎุฏู‡ุง ููŠ
36
+
37
+ 10
38
+ 00:00:57,140 --> 00:01:02,540
39
+ chapter 9 ููŠ ุงู„ุฃูˆู„ hypothesis ู…ุนู†ุงู‡ ุงูŠุด ูุฑุถูŠุฉ ูู‡ุฐู‡
40
+
41
+ 11
42
+ 00:01:02,540 --> 00:01:10,560
43
+ ุนุจุงุฑุฉ ุนู† ูุฑุถูŠุฉ ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ fundamental ุฃุณุงุณูŠุฉ
44
+
45
+ 12
46
+ 00:01:10,560 --> 00:01:14,760
47
+ ุฃุณุงุณูŠุงุช
48
+
49
+ 13
50
+ 00:01:14,760 --> 00:01:19,020
51
+ ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ ู‡ุนุทูŠูƒ
52
+
53
+ 14
54
+ 00:01:19,020 --> 00:01:23,490
55
+ ุนุฏุฉ ุฃู…ุซู„ุฉ ุงู„ุขู† ุงู„ู„ูŠ ุฃู†ุง ุงูุชุฑุถู‡ุฃุนุทูŠ ุฃู…ุซู„ุฉ ู…ุฎุชู„ูุฉ ุจุณ
56
+
57
+ 15
58
+ 00:01:23,490 --> 00:01:29,890
59
+ ุฃุบู„ุจู‡ุง ููŠ ุงู„ business ู†ูุชุฑุถ ุฏุฎู„ุช ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ูˆู…ุฏูŠุฑ
60
+
61
+ 16
62
+ 00:01:29,890 --> 00:01:36,590
63
+ ุงู„ุดุฑูƒุฉ ุจูŠุชุฏุนูŠ ุฃู† ู…ุชูˆุณุท ุนุฏุฏ ู…ุซู„ุง ุงู„ edges ุงู„ุญุตูˆู…ูŠ
64
+
65
+ 17
66
+ 00:01:36,590 --> 00:01:41,330
67
+ ุงู„ู„ูŠ ูŠุชูŠุญ ุงู„ุดุฑูƒุฉ ุงู„ laptops ู†ูุชุฑุถ ุจูŠุณุชูˆู‰ 50 ุฌู‡ุงุฒ
68
+
69
+ 18
70
+ 00:01:41,330 --> 00:01:47,550
71
+ ููŠ ุงู„ุณูˆู‚ ุฃู†ุช ุนุงูŠุฒ ุชุฎุชุจุฑ ู…ุฏู‰ ุงู„ุตุฏู‚ู‡ุฐุง ุงู„ุงุฏุนุงุก ูŠุนู†ูŠ
72
+
73
+ 19
74
+ 00:01:47,550 --> 00:01:51,570
75
+ ููŠ claim ู…ุนูŠู† ุงู† ุงู„ู…ุฏูŠุฑ ุจูŠุญูƒู…ู‡ ุชูˆุตู„ ู…ุจูŠุนุงุชู‡ ุฎู„ุงู„
76
+
77
+ 20
78
+ 00:01:51,570 --> 00:01:55,830
79
+ ุงู„ุฃุณุจูˆุน ู…ู† ุฃุฌุฒุฉ ุงู„ laptop 15 ุงูˆ 50 ุฌู‡ุงุฒ ุงูˆ 100
80
+
81
+ 21
82
+ 00:01:55,830 --> 00:01:59,670
83
+ ุฌู‡ุงุฒ ุงู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑ ุงุฐุง ูƒุงู† ุงุฏุนุงูˆู‡ ุณู„ูŠู… ุงุฐุง ู‡ูˆ ู…ุด
84
+
85
+ 22
86
+ 00:01:59,670 --> 00:02:06,550
87
+ ุจูŠุฎุชุจุฑ ุงู†ู‡ ุนู†ุฏู‡ ุญุตูŠู„ุฉ ููŠ ุงู„ุฃุณุจูˆุน ุจูŠุจูŠุน 100 laptop
88
+
89
+ 23
90
+ 00:02:06,550 --> 00:02:11,090
91
+ ุงู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑ ุงุฐุง ูƒุงู†ุช ูƒู„ุงู…ู‡ ุตุญ ุงูˆ ุบูŠุฑ ุณู„ูŠู… ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:11,090 --> 00:02:17,670
95
+ ุงู†ุง ุจุชูƒู„ู… ุนู† ู…ูŠู† ุงู† ุงู„ู…ูŠู† ุจูŠุณุงูˆูŠ ู†ูุชุฑุถ ู…ูŠู†ุทุจ ุงู†ุง
96
+
97
+ 25
98
+ 00:02:17,670 --> 00:02:23,650
99
+ ู‡ุงุฎุชุจุฑ ุงู„ mean ุจุณุงูˆุฉ ู…ูŠุฉ ุงูˆ ู…ู‚ุงุจู„ ูŠุงุด ู…ู…ูƒู† ูƒู„ุงู…ู‡
100
+
101
+ 26
102
+ 00:02:23,650 --> 00:02:28,910
103
+ ู…ุด ุตุญ ุงู† ุงู„ mean ุจูŠุฎุชู„ู ุนู† ู…ูŠุฉ ูŠุนู†ูŠ ุงู„ mean ุงูŠู‡ ุฏูŠ
104
+
105
+ 27
106
+ 00:02:28,910 --> 00:02:32,970
107
+ ู…ุนู†ุงู‡ ู„ุง ูŠุจุณุงูˆุฉ not equal ู…ูŠุฉ ุงู†ุง ู…ุด ุนุงุฑู ุงูƒุชุฑ ูˆู„ุง
108
+
109
+ 28
110
+ 00:02:32,970 --> 00:02:37,830
111
+ ุงู‚ู„ ุงู†ุง ุจุฏูŠ ุงุฎุชุจุฑ ุงู„ mean ู„ุง ูŠุจุณุงูˆุฉ ู…ูŠุฉ ู‡ุฏูŠูƒ ู…ุซุงู„
112
+
113
+ 29
114
+ 00:02:37,830 --> 00:02:42,470
115
+ ุงุฎุฑ ุงู„ู„ูŠ ุงู†ุง ุงูุชุฑุถ ุงู„ู…ุฏูŠุฑ ู†ูุณู‡ ุจูŠุญูƒูŠ ุงู†ู‡ ู†ูุชุฑุถ ููŠ
116
+
117
+ 30
118
+ 00:02:42,470 --> 00:02:48,910
119
+ ุนู†ุฏู‡ machines ุฌุฏูŠุฏุฉ ุขูŠุงุช ุฌุฏูŠุฏุฉ ู„ู„ุฅู†ุชุงุฌูˆู†ูุชุฑุถ ุงู„ุฒู…ู†
120
+
121
+ 31
122
+ 00:02:48,910 --> 00:02:54,270
123
+ ุงู„ู„ุงุฒู… ุณุงุจู‚ุง ูƒุงู† ู„ุฅู†ุชุงุฌ ู…ู†ุชุฌ ู…ุนูŠู† ุชุบู„ูŠู ุฃูˆ ู…ุดุงุจู‡
124
+
125
+ 32
126
+ 00:02:54,270 --> 00:03:00,230
127
+ ู†ูุชุฑุถ ุจุณุงูˆูŠ ten minutes ู‡ูˆ ุงู„ุงู† ุจูŠุฏุนูŠ ุฃู† ู…ุชูˆุณุท
128
+
129
+ 33
130
+ 00:03:00,230 --> 00:03:06,700
131
+ ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ุฃูุถู„ุŒ ุฅุฐุง ููŠ ุงู„ุฃูˆู„ ุงู„ู…ูŠู†ุด ุจุณุงูˆูŠู†ูุชุฑุถ
132
+
133
+ 34
134
+ 00:03:06,700 --> 00:03:10,780
135
+ ten minutes ุนุดุฑุฉ ุงู„ุงู† ู‡ูˆ ุจูŠุฏุนูŠ ู„ู„ุฏุนุงูŠุฉ ุชุจุนู‡ ุงู†
136
+
137
+ 35
138
+ 00:03:10,780 --> 00:03:15,280
139
+ ุงู„ู…ูŠู† ู…ุงู„ู‡ ุงู„ุงู† ุงู„ูˆุถุน ุงูุถู„ ุงู† ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡
140
+
141
+ 36
142
+ 00:03:15,280 --> 00:03:22,500
143
+ ุงู„ุชุบู„ูŠู ุงูˆ ุงู„ุชุจูƒูŠุฏ ุชุจุนู‡ู… ุงูุถู„ ุงูŠุด ู…ุนู†ู‰ ุงูุถู„ุŸ ุดูˆู
144
+
145
+ 37
146
+ 00:03:22,500 --> 00:03:26,940
147
+ ุงู„ุงู† ุงูุถู„ ุจุญูƒูŠ ู„ู„ุฒู…ู† ูˆู‚ุช ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุญูŠูƒูˆู† ุงู‚ู„ ู…ู†
148
+
149
+ 38
150
+ 00:03:26,940 --> 00:03:30,640
151
+ ุนุดุฑุฉ ุงู„ุงู†
152
+
153
+ 39
154
+ 00:03:30,640 --> 00:03:35,370
155
+ ู†ูุชุฑุถ ุงู„ู…ุฏูŠุฑ ู†ูุณู‡ ุจูŠุญูƒูŠุฅู†ู‡ ู…ุชูˆุณุท ุฅู†ุชุงุฌ ุงู„ุนู…ุงู„ ุนู†ุฏู‡
156
+
157
+ 40
158
+ 00:03:35,370 --> 00:03:45,470
159
+ ุจุนุฏ ู…ุง ุฃุฎุฏูˆุง ุฏูˆุฑุฉ ุชุฏุฑูŠุจูŠุฉ ุงุชุญุณู† ุงู„ุงู†ุชุงุฌ ุชุญุณู† ู…ูุชุฑุถ
160
+
161
+ 41
162
+ 00:03:45,470 --> 00:03:50,890
163
+ ุงู„ู…ูŠู† ูƒุงู† ุจุณุงูˆุฉ ุฎู…ุณูŠู† ุญุฒูŠู†ุŒ ุญุฒูŠู†ุŒ ู…ุนู†ู‰ ุชุญุณู† ูŠุนู†ูŠ
164
+
165
+ 42
166
+ 00:03:50,890 --> 00:03:51,310
167
+ ุญุฒูŠู†
168
+
169
+ 43
170
+ 00:03:54,880 --> 00:03:58,060
171
+ ูŠุนู†ูŠ ู…ุฑุฉ ูƒุงู† ู„ุง ูŠุณุงูˆูŠ ุฃู†ุช ู…ุด ุนุงุฑู ุงุชุฌู‡ ุชุจู‚ู‰ ุฃูƒุจุฑ
172
+
173
+ 44
174
+ 00:03:58,060 --> 00:04:03,220
175
+ ูˆู„ุง ุฃู‚ู„ ู…ุฑุฉ ุงุชุญุณู† ูˆ ู‡ูŠ ุงุชุญุณู† ู„ุงุญุธูˆุง ุจุณ ุงู„ุงุชุญุณู† ู…ุด
176
+
177
+ 45
178
+ 00:04:03,220 --> 00:04:07,040
179
+ ู…ุนู†ุงู‡ ุฏุงูŠู…ุง ุฃูƒุจุฑ ุฃูุถู„ ุนู„ู‰ ุญุณุจูƒ ูˆุงู„ู„ู‡ ุฅุฐุง ูƒุงู† ุฒู…ู†
180
+
181
+ 46
182
+ 00:04:07,040 --> 00:04:11,820
183
+ ู„ุงุฒู… ู„ุงุชุณุงุจ skill ู…ุนูŠู†ุฉ ููƒุงู† ูƒู„ ู…ุง ูƒุงู† ุฃูุถู„ ูƒู„ ู…ุง
184
+
185
+ 47
186
+ 00:04:11,820 --> 00:04:17,100
187
+ ูƒุงู† ุฃู‚ู„ ู„ูƒู† ุจุญูƒูŠ ูˆุญุฏุงุช ู…ุจูŠุนุฉ ู„ู…ุง ุจุญูƒูŠ ู…ุณุชูˆู‰
188
+
189
+ 48
190
+ 00:04:17,100 --> 00:04:21,500
191
+ ุงู„ู…ูˆุธููŠู† ุงุชุญุณู† ููŠ ุงู„ู…ุจูŠุนุงุชู…ุน ูƒุฏู‡ ุงู„ sale person
192
+
193
+ 49
194
+ 00:04:21,500 --> 00:04:25,320
195
+ ู„ู…ุฑุงุญุจ ุจูŠุน ุจูŠุน ุฃูุถู„ุŒ ู…ุน ูƒุฏู‡ ู…ุณุชูˆู‰ ู…ุงู†ูˆ ุชุญุณู† ูŠุนู†ูŠ
196
+
197
+ 50
198
+ 00:04:25,320 --> 00:04:29,680
199
+ ุฃูƒุจุฑุŒ ุฅุฐุง ุจุญูƒูŠุช ุฃูƒุจุฑ ูˆ ุฃู‚ู„ ุจุนุฑูู‡ุง ู…ู† ูˆุตูŠูุฉ ุงู„ู…ุซู„ุฉุŒ
200
+
201
+ 51
202
+ 00:04:29,680 --> 00:04:32,440
203
+ ู„ูƒู† ููŠ ุงู„ุขุฎุฑูŠู† ู…ุงุญุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ู…ู‚ุงุจู„ู†ุง ู„ุง
204
+
205
+ 52
206
+ 00:04:32,440 --> 00:04:39,900
207
+ ูŠุณุงูˆูŠุŒ ููƒู„ ุญุงุฌุฉ ุฃุนู…ู„ู‡ ู…ูุชุฑุถ ุฏุฎู„ุช ุณุงุญุฉ ุงู„ุฌุงู…ุนุฉ ูˆ
208
+
209
+ 53
210
+ 00:04:39,900 --> 00:04:45,400
211
+ ุจุฏุฃ ุฃุณุฃู„ ุงู„ุทู„ุจุฉ ุฅูŠุด ุฑุฃูŠูƒูˆุง ููŠ ุงู„ุฃุญุฏุงุซ ุงู„ุฃุฎูŠุฑุฉุŒ ู…ุน
212
+
213
+ 54
214
+ 00:04:45,400 --> 00:04:54,790
215
+ ุฃูˆ ุถุฏุŸู†ูุชุฑุถ ุงู†ุง ุนู†ุฏู‰ ุงุฏุนุงุก ุงู† ุงู„ proportion ู„ู„ูŠ
216
+
217
+ 55
218
+ 00:04:54,790 --> 00:05:01,110
219
+ ู…ุน ุงู„ุฃุญุฏุงุซ ุฏู‡ ู…ุญูŠุทุŒ ุฏู‡ ุญูƒูŠู‡ 50%ุŒ ุงุฐุง ุงู„ proportion
220
+
221
+ 56
222
+ 00:05:01,110 --> 00:05:06,690
223
+ ู…ุด ุจุชุณุงูˆูŠ ู†ุตุŒ ุจูŠุณุŸ
224
+
225
+ 57
226
+ 00:05:06,690 --> 00:05:14,250
227
+ ู†ูุชุฑุถ ููŠ ุงุฏุนุงุก ู…ู† ุญุฒุจ ู…ุนูŠู† ุงู† ุงูƒุชุฑ ู…ู† ู†ุต ุงู„ุณูƒุงู†
228
+
229
+ 58
230
+ 00:05:14,250 --> 00:05:22,560
231
+ ุจูŠุญูƒูˆุง ู„ูˆุถุน ุณูŠุฆุฉูุนุงูŠุฒ ุฃุฎุชุจุฑ ุฃูƒุจุฑ ู…ู† ู†ุต ู…ุธุจูˆุทุŸ ุฃูˆ
232
+
233
+ 59
234
+ 00:05:22,560 --> 00:05:27,340
235
+ ู…ู…ูƒู† ูˆุงุญุฏุฉ ูŠุญูƒูŠ ู„ุฃ ุงู„ู†ุงุณ ุงู„ู„ูŠ ู…ุน ุงู„ู„ุญุธุงุช ุงู„ุฃุฎูŠุฑุฉ
236
+
237
+ 60
238
+ 00:05:27,340 --> 00:05:32,300
239
+ ุฃู‚ู„ ู…ู† ู†ุต ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† 50% ู…ู† ุงู„ุณูƒุงู† ู…ุน ุงู„ู„ุญุธุงุชุŒ
240
+
241
+ 61
242
+ 00:05:32,300 --> 00:05:35,880
243
+ ุจุฃูŠุฏ ูŠุนู†ูŠุŒ ุฃู‚ู„ ู…ู† ู†ุต ูˆุงุญุฏ ุชุงู†ูŠ ุญูƒูŠ ุฃู†ุง ู…ุด ุนุงุฑู
244
+
245
+ 62
246
+ 00:05:35,880 --> 00:05:39,480
247
+ ู…ุนู†ู‰ ู…ุด ุนุงุฑู ูŠุนู†ูŠ ุฅูŠุด ู„ุง ูŠุณุงูˆูŠ ู„ุฅู† ุฃู†ุง ู…ุด ุนุงุฑู
248
+
249
+ 63
250
+ 00:05:39,480 --> 00:05:44,260
251
+ ุฃุญุฏุฏ ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ูู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู„ูŠ ุฃู†ุง ุจุนู…ู„ู‡ testing
252
+
253
+ 64
254
+ 00:05:44,260 --> 00:05:49,400
255
+ ุฅู…ุง ูŠูƒูˆู† ุงู„ุนุงู„ู…ูŠู†ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุงู„ proportion ุทูŠุจ
256
+
257
+ 65
258
+ 00:05:49,400 --> 00:05:54,600
259
+ ุฎู„ูŠู†ูŠ ุฃุณุฃู„ ู†ู‚ุทุฉ ุฃุฎุฑู‰ ุนุดุงู† ุฃุจุฏุฃ ุฃุดุฑุญู‡ุง ุงู„ testing
260
+
261
+ 66
262
+ 00:05:54,600 --> 00:05:59,520
263
+ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ู„ู„ population ูˆ ู„ู„ sample ุฃู†ุง ุจุนู…ู„
264
+
265
+ 67
266
+ 00:05:59,520 --> 00:06:04,460
267
+ ุฏุงูŠู…ุง ุงุฎุชุจุงุฑ ู„ุดูŠุก ู…ุฌู‡ูˆู„ ุงู† ู‡ูˆ ุงู„ sample ููŠ ุฅูŠุฏูƒ
268
+
269
+ 68
270
+ 00:06:04,460 --> 00:06:12,280
271
+ ู…ุธุจูˆุทุฎู„ู‘ูŠู†ูŠ ุฃุฎุฏ ุฑุฃูŠ ุงู„ู†ุงุณุŒ ุจุงุฎุฏ ุฌุฒุกุŒ ุจุงุฎุฏ ุฌุฒุก
272
+
273
+ 69
274
+ 00:06:12,280 --> 00:06:16,100
275
+ ูˆุนุงูŠุฒ ุฌุฒุก ุฃุนุงู…ู„ ู…ุนุงู„ู…ูŠู† ุนู„ู‰ ุงู„ูƒู„ ูุจุงู„ุชุงู„ูŠ ุจุนู…ู„
276
+
277
+ 70
278
+ 00:06:16,100 --> 00:06:19,440
279
+ ุฏุงูŠู…ุง testing about population parameter ู„ู„ู…ุฌุชู…ุน
280
+
281
+ 71
282
+ 00:06:19,440 --> 00:06:25,660
283
+ ู†ูุณู‡ุŒ ุงู„ู…ุฌุชู…ุน is unknownุŒ ู…ุธุจูˆุทุŸ ูุจุงู„ุชุงู„ูŠ ูƒู„ ุงู„
284
+
285
+ 72
286
+ 00:06:25,660 --> 00:06:28,300
287
+ testing ุชุจุนู†ุง should be about population parameter
288
+
289
+ 73
290
+ 00:06:28,300 --> 00:06:32,560
291
+ ุฅุฐุง ูƒู„ ุญู†ุนู…ู„ู‡ุŒ ู‡ูƒูˆู† ููŠ ุนู†ุฏูƒ claim ู…ุนูŠู† ูˆุนุงูŠุฒ ุฃุนู…ู„
292
+
293
+ 74
294
+ 00:06:32,560 --> 00:06:38,040
295
+ testing ู„ู‡ู„ุญุธ ุงูˆ ู„ุงุญุธ ุงู†ุง ู…ุฑุฉ ุญูƒูŠุช ู…ูŠู† ุจูŠุณุงูˆูŠ ู…ูŠุฉ
296
+
297
+ 75
298
+ 00:06:38,040 --> 00:06:41,260
299
+ ู…ู‚ุงุจู„ ู„ุง ูŠุณุงูˆูŠ ู…ูŠู† ุจูŠุณุงูˆูŠ ุนุดุฑ ู…ู‚ุงุจู„ ุงู‚ู„ ู…ูŠู† ุจูŠุณุงูˆูŠ
300
+
301
+ 76
302
+ 00:06:41,260 --> 00:06:44,340
303
+ ุฎู…ุณูŠู† ู…ู‚ุงุจู„ ุงูƒุจุฑ ูุจุนู…ู„ testing ู„ two hypotheses
304
+
305
+ 77
306
+ 00:06:44,340 --> 00:06:49,500
307
+ ูˆุงุญุฏุฉ ู‡ู†ุณู…ูŠู‡ุง ุจุงุณู… null hypothesis null ูŠุนู†ูŠ ูุฑุถูŠุฉ
308
+
309
+ 78
310
+ 00:06:49,500 --> 00:06:52,460
311
+ ุตูุฑูŠุฉ ูˆุงู„ุชุงู†ูŠ ุจูŠุณู…ูŠู‡ุง alternative hypothesis ูุฑุถูŠุฉ
312
+
313
+ 79
314
+ 00:06:52,460 --> 00:06:56,480
315
+ ู…ุฏูŠู„ุฉ ููƒู„ ู…ุง ู‡ู†ุนู…ู„ู‡ ู‡ูˆ testing about two
316
+
317
+ 80
318
+ 00:06:56,480 --> 00:07:01,500
319
+ parameterspopulation mean ูˆ population proportion
320
+
321
+ 81
322
+ 00:07:01,500 --> 00:07:04,380
323
+ ูˆ ู‡ุฏูˆู„ ุงู„ุชูŠู† ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุจุงู„ุชูุตูŠู„ ููŠ chapter ูˆูŠู†ุŸ
324
+
325
+ 82
326
+ 00:07:04,380 --> 00:07:06,680
327
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
328
+
329
+ 83
330
+ 00:07:06,680 --> 00:07:08,920
331
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
332
+
333
+ 84
334
+ 00:07:08,920 --> 00:07:11,480
335
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
336
+
337
+ 85
338
+ 00:07:11,480 --> 00:07:14,900
339
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
340
+
341
+ 86
342
+ 00:07:14,900 --> 00:07:15,860
343
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
344
+
345
+ 87
346
+ 00:07:15,860 --> 00:07:16,340
347
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
348
+
349
+ 88
350
+ 00:07:16,340 --> 00:07:17,400
351
+ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ ุณุจุนุฉ
352
+
353
+ 89
354
+ 00:07:23,150 --> 00:07:26,830
355
+ ู„ู„ population parameters ุฎู„ุงุตุŸ ุฅุฐุง ุงู„ุชูˆุฒูŠุน ุงู„ู…ุนูŠู†
356
+
357
+ 90
358
+ 00:07:26,830 --> 00:07:29,410
359
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ุจุนู…ู„ู‡ ู„ ุงู„ mean ุชุจุน ุงู„ sample
360
+
361
+ 91
362
+ 00:07:29,410 --> 00:07:33,110
363
+ ุฃูˆ ุงู„ proportion ุชุจุน ุงู„ sample ู‡ู†ุง ุจุนู…ู„ ู„ mean ู„ู„
364
+
365
+ 92
366
+ 00:07:33,110 --> 00:07:37,190
367
+ population ูƒูƒู„ ุนุดุงู† ุฃู…ูŠุฒ ุจุงู„ุงุชู†ูŠู† ุฎู„ุงุตุŸ ู‡ุฐู‡ ู…ู‚ุฏู…ุฉ
368
+
369
+ 93
370
+ 00:07:37,190 --> 00:07:41,110
371
+ ูƒุงู† ู„ุงุจุฏ ู…ู†ู‡ุง ุฅุฐุง ุฃู†ุช ุนู†ุฏูƒ ุชุตูˆุฑ ู…ุนูŠู† ุนู† ุงู„ู…ูˆุถูˆุน
372
+
373
+ 94
374
+ 00:07:41,110 --> 00:07:48,610
375
+ ุงู„ู„ูŠ ุฃู†ุง ู‡ุจุฏุฃ ุฃุดุฑุญู‡ุงู‡ู†ุงูƒ ุฎู…ุณ ุงู‡ุชู…ุงู… ุณู†ุบุทูŠ ููŠ ู‡ุฐู‡
376
+
377
+ 95
378
+ 00:07:48,610 --> 00:07:52,730
379
+ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ุงู„ุฃูˆู„ ุซู„ุงุซุฉ ุงู„ุฃุณุงุณูŠูŠู† ู„ู„ุชุฌุงุฑุจ
380
+
381
+ 96
382
+ 00:07:52,730 --> 00:07:57,710
383
+ ุงู„ู‡ูŠุจูˆุทูŠุณูŠุฉ ุงู„ูŠูˆู… ุณู†ุบุทูŠ ู‡ุฐุง ุงู„ู‡ุชู…ุงู… ุงู„ุซุงู†ูˆูŠุฉ ู‡ูŠ
384
+
385
+ 97
386
+ 00:07:57,710 --> 00:08:00,830
387
+ ูƒูŠู ุชุณุชุฎุฏู… ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุทูŠุณูŠุฉ ู„ุชุฌุงุฑุจ ู…ูŠุงู† ุฃูˆ ุชุฌุงุฑุจ
388
+
389
+ 98
390
+ 00:08:00,830 --> 00:08:02,450
391
+ ุชุฌุงุฑุจ ู…ูŠุงู† ุงูˆ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ู…ูŠุงู† ุงูˆ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
392
+
393
+ 99
394
+ 00:08:02,450 --> 00:08:05,590
395
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
396
+
397
+ 100
398
+ 00:08:05,590 --> 00:08:05,630
399
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
400
+
401
+ 101
402
+ 00:08:05,630 --> 00:08:08,340
403
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑmean
404
+
405
+ 102
406
+ 00:08:08,340 --> 00:08:12,240
407
+ and I mean population mean so indeed we are
408
+
409
+ 103
410
+ 00:08:12,240 --> 00:08:14,260
411
+ talking about population mean and population
412
+
413
+ 104
414
+ 00:08:14,260 --> 00:08:18,520
415
+ proportion number three the assumptions of each
416
+
417
+ 105
418
+ 00:08:18,520 --> 00:08:21,680
419
+ hypothesis testing procedure ุงูŠุด ุงู„ูุฑุถูŠุงุช ุงู„ู„ุงุฒู…ุฉ
420
+
421
+ 106
422
+ 00:08:21,680 --> 00:08:24,940
423
+ ุงูˆ ุงู„ุงูุชุฑุงุถุงุช how to evaluate them ูƒูŠู ู…ู…ูƒู† ู†ุนู…ู„
424
+
425
+ 107
426
+ 00:08:24,940 --> 00:08:27,760
427
+ ุนู…ู„ูŠุฉ ุชู‚ูŠูŠู… ู„ู‡ู… and the consequences ุงูŠุด ุจุนุฏ ุงู„
428
+
429
+ 108
430
+ 00:08:27,760 --> 00:08:33,340
431
+ consequences ุงู„ุงุซุงุฑ if they are seriously violated
432
+
433
+ 109
434
+ 00:08:33,340 --> 00:08:40,740
435
+ ูŠุนู†ูŠ ุงูŠุด ู…ู…ูƒู† ูŠุญุตู„ ุงุฐุง ุชู…violated ูŠุนู†ูŠ ุงุฎุชุฑู‚ ุงูˆ
436
+
437
+ 110
438
+ 00:08:40,740 --> 00:08:47,080
439
+ ุงู†ุชู‡ุงูƒ ุจุณ ุจุดูƒู„ seriously ูŠุนู†ูŠ ุจุดูƒู„ ู‚ูˆูŠ ู‡ุฏูˆู„ ุงู„
440
+
441
+ 111
442
+ 00:08:47,080 --> 00:08:49,020
443
+ three objectives we will start with the first one
444
+
445
+ 112
446
+ 00:08:49,020 --> 00:08:54,780
447
+ we will start with definition of hypothesis ู„ุญุธุฉ
448
+
449
+ 113
450
+ 00:08:54,780 --> 00:08:58,740
451
+ ุญุณุจ ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠุชู‡ ุงู„ definition ุณุชูƒูˆู† ุณู‡ู„ุฉ what
452
+
453
+ 114
454
+ 00:08:58,740 --> 00:09:02,960
455
+ is a hypothesis ู…ุงุฐุง ู†ู‚ุตุฏ ุจุงู„ูุฑุถูŠุฉ a hypothesis is
456
+
457
+ 115
458
+ 00:09:02,960 --> 00:09:10,300
459
+ a claim claim ู…ุนู†ุงู‡ ุงุฏุนุงุกุฃูˆ assertion .. assertion
460
+
461
+ 116
462
+ 00:09:10,300 --> 00:09:18,820
463
+ ุชุฃูƒูŠุฏ about population parameter ุฒู…ุงู† ูƒุฏู‡ ุนุจุงุฑุฉ ุนู†
464
+
465
+ 117
466
+ 00:09:18,820 --> 00:09:24,660
467
+ ุงูุชุฑุถูŠุฉ about claim about ู…ูŠู† population parameter
468
+
469
+ 118
470
+ 00:09:24,660 --> 00:09:29,520
471
+ ุญูˆู„ ุงู„ parameter ู„ู…ูŠู† ู„ู„ population for example if
472
+
473
+ 119
474
+ 00:09:29,520 --> 00:09:34,050
475
+ you are talking about population meanู…ุซู„ู‹ุงุŒ ู‚ุงู†ูˆู†
476
+
477
+ 120
478
+ 00:09:34,050 --> 00:09:42,450
479
+ ุงู„ู‡ุงุชู ุงู„ุฃุณุงุณูŠ ููŠ ู‡ุฐู‡ ุงู„ู…ุฏูŠู†ุฉ 42$ ุจูŠุญูƒูŠ .. ุจุชุนุฑููˆุง
480
+
481
+ 121
482
+ 00:09:42,450 --> 00:09:52,330
483
+ ุงู„ cell phone ุงู„ู„ูŠ ู‡ูŠ ุงู„ cell ูˆ ุงู„ phone ุงุฎุชุตุงุฑ
484
+
485
+ 122
486
+ 00:09:52,330 --> 00:09:56,970
487
+ ุจูŠุนุทูŠู‡ุง cell ุงู„ cell phone ุจุชุนุฑู ุงู„ build ุณุจุนุชู‡ ูˆ
488
+
489
+ 123
490
+ 00:09:56,970 --> 00:10:00,050
491
+ ุจูŠุญูƒูŠ ููŠ ุงู„ู…ุชูˆุณุท ููŠ ุงู„ู…ุฏูŠู†ุฉ ูƒู„ู‡ุง ุจูŠุญูƒูŠ ุนู„ู‰ ุงู„
492
+
493
+ 124
494
+ 00:10:00,050 --> 00:10:04,940
495
+ entire populationุงู„ูุชูˆุฑุฉ ุชุฌูŠ ุนู„ู‰ ุงู„ุฌูˆุงู„ ุญูˆุงู„ูŠ 42$
496
+
497
+ 125
498
+ 00:10:04,940 --> 00:10:10,700
499
+ ุฅุฐุง ุงู„ุฅุฏุนุงุก ุงู„ุงู† ุงู„ mean equal 42$ ุงุชูƒู„ู… ุนู†
500
+
501
+ 126
502
+ 00:10:10,700 --> 00:10:14,820
503
+ population mean ูƒูŠู ุนุฑูุช population meanุŸ ู…ุงุญูƒุงุด
504
+
505
+ 127
506
+ 00:10:14,820 --> 00:10:20,540
507
+ ุงู„ ..ุงู„ูุงู† ุณู„ุจู‰ ู„ .. ู…ุซู„ุง ู„ู„ู†ุงุณ ุงู„ู„ู‰ ุนู…ุฑู‡ู… ู…ู† 25 ู„
508
+
509
+ 128
510
+ 00:10:20,540 --> 00:10:25,400
511
+ 45 ุญูƒู‰ ู„ู…ูŠู†ุŸ ู„ูƒู„ ุงู„ู†ุงุณุŒ ู„ูƒู„ ุงู„ cityุŒ ู„ูƒู„ ุงู„ุจู„ุฏ
512
+
513
+ 129
514
+ 00:10:25,400 --> 00:10:27,700
515
+ ูุจุงู„ุชุงู„ูŠ ุงู„ู„ู‰ ุจุญูƒูŠ ุนู„ู‰ ุงู„ population ู…ูŠู†ุŸ it is a
516
+
517
+ 130
518
+ 00:10:27,700 --> 00:10:31,080
519
+ miuic by 42 keep in mind hypothesis is a claim
520
+
521
+ 131
522
+ 00:10:31,080 --> 00:10:34,890
523
+ about population parameter ุญุงูˆู„ ..ุงู„ population
524
+
525
+ 132
526
+ 00:10:34,890 --> 00:10:39,510
527
+ ุจุฑุงู…ุชู‡ุง population proportion ุจุชูƒู„ู… ุนู† ู†ุณุจุฉ for
528
+
529
+ 133
530
+ 00:10:39,510 --> 00:10:42,670
531
+ example suppose the proportion of adults in this
532
+
533
+ 134
534
+ 00:10:42,670 --> 00:10:48,670
535
+ city with cell phones is 68% ุจุญูƒูŠ ุจุงูุชุฑุงุถ ุฃู† ู†ุณุจุฉ
536
+
537
+ 135
538
+ 00:10:48,670 --> 00:10:53,610
539
+ ุงู„ุจุงู„ุบูŠู† ุงู„ู„ูŠ ุนู†ุฏู‡ู… cell phone ุจูŠุณุงูˆุฉ 68% ุฅุฐุง ุฃู†ุง
540
+
541
+ 136
542
+ 00:10:53,610 --> 00:10:58,450
543
+ ุจุชูƒู„ู… ุนู„ู‰ population proportion ุฅุฐุง ู‡ูŠ ุงู„ุดุบู„ุชูŠู†
544
+
545
+ 137
546
+ 00:10:58,450 --> 00:11:02,410
547
+ ุงู„ู„ูŠ ุนุงูŠุฒูŠู†ู‡ู… ู…ุฑุฉ ุนู„ู‰ ู…ูŠู† ูˆู…ุฑุฉ ุนู„ู‰ ุงู„ population
548
+
549
+ 138
550
+ 00:11:02,410 --> 00:11:06,320
551
+ proportionุนุดุงู† ูƒุฏู‡ ูƒุงู† ุดุทุฑ ุงู„ุณุงุจุนุฉ ู…ุชูƒู„ู… ุฌุฒุก
552
+
553
+ 139
554
+ 00:11:06,320 --> 00:11:11,200
555
+ Sampling ู„ู„ู…ูŠู†ุŸ Sampling ู„ู„ู€ Sample Proportion ุฅุฐุง
556
+
557
+ 140
558
+ 00:11:11,200 --> 00:11:14,820
559
+ ุงู„ hypothesis is a claim about a population
560
+
561
+ 141
562
+ 00:11:14,820 --> 00:11:19,440
563
+ parameter now there is a new definition it's
564
+
565
+ 142
566
+ 00:11:19,440 --> 00:11:23,460
567
+ called the null hypothesis null hypothesis ูŠุนู†ูŠ
568
+
569
+ 143
570
+ 00:11:23,460 --> 00:11:29,700
571
+ ุฅูŠุด null hypothesis ูุฑุถูŠุฉ ุตูุฑูŠุฉ ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ุฅุฐุง
572
+
573
+ 144
574
+ 00:11:29,700 --> 00:11:33,020
575
+ ููŠ ุนู†ุฏ ุฃูˆู„ definition the null hypothesis
576
+
577
+ 145
578
+ 00:11:36,620 --> 00:11:41,240
579
+ ุงู„ู€ null hypothesis is usually denoted by H sub
580
+
581
+ 146
582
+ 00:11:41,240 --> 00:11:48,520
583
+ zero ุจุนุทูŠู‡ุง ุฑู…ุฒ H0 H for hypothesis and Zero for
584
+
585
+ 147
586
+ 00:11:48,520 --> 00:11:52,700
587
+ null ุงู„ู€
588
+
589
+ 148
590
+ 00:11:52,700 --> 00:12:00,380
591
+ nullุฉ ุชุนู…ู„ ุงู„ู€ claim ุชูƒุชุจ ุงู„ู€ claim or assertion
592
+
593
+ 149
594
+ 00:12:00,380 --> 00:12:05,220
595
+ to be tested ุงู„ุงุฏุนุงุก ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒ ุงุฎุชุจุฑู‡is an
596
+
597
+ 150
598
+ 00:12:05,220 --> 00:12:09,260
599
+ exclaim or assertion to be tested for example the
600
+
601
+ 151
602
+ 00:12:09,260 --> 00:12:16,560
603
+ mean diameter of manufactured bolt is 30 milli so
604
+
605
+ 152
606
+ 00:12:16,560 --> 00:12:23,160
607
+ this means mu equal 30 ุจุญูƒูŠ ุงู†ู‡ ุงู„ diameter ุนุงุฑูุด
608
+
609
+ 153
610
+ 00:12:23,160 --> 00:12:28,160
611
+ ู…ุนุงู‡ ุงู„ diameter ุงู„ู‚ุทุฑ ุงู„ู‚ุทุฑ ู„ู…ูŠู† ุงู„ bolt ู…ุนู†ุงู‡
612
+
613
+ 154
614
+ 00:12:28,160 --> 00:12:28,440
615
+ ุงูŠุด
616
+
617
+ 155
618
+ 00:12:32,810 --> 00:12:39,390
619
+ ุฃูŠ ุตูˆุฑุฉ ุนู†ุฏูƒุŸ ุตูˆุฑุฉ ุจุชุณุงุนูŠ ุจุฑุบูŠ ุจูˆู„ุช ู…ุนู†ุงู‡ุง ุจุฑุบูŠ
620
+
621
+ 156
622
+ 00:12:39,390 --> 00:12:43,550
623
+ the mean diameter of manufacturing bolt is 30
624
+
625
+ 157
626
+ 00:12:43,550 --> 00:12:46,350
627
+ millimeter ุญุชู‰ ูˆ ุฃู†ุง ู…ุด ุนุงุฑู ู…ุนู†ุงู‡ุง .. ู…ุนู†ุงู‡ุง
628
+
629
+ 158
630
+ 00:12:46,350 --> 00:12:50,390
631
+ ุงู„ูƒู„ู…ุฉ ู…ู† ุงู„ุณูŠุงู‚ ุฃู†ุง ุจุชูƒู„ู… ุนู„ูŠู‡ุด ุงู„ mean ู‡ุงูŠ ุงู„
632
+
633
+ 159
634
+ 00:12:50,390 --> 00:12:56,450
635
+ mean ุฃู†ุง ุนุงูŠุฒู‡ุง ูˆ ุญูƒู‰ ุจุดูƒู„ ุนุงู… ู„ู„ู…ุณุงู…ูŠู† ุฃูˆ ู„ู„ุจุฑุงุฌุน
636
+
637
+ 160
638
+ 00:12:56,450 --> 00:13:02,000
639
+ ุงู„ู…ุตู†ุนุฉ ุงู„ู‚ุฏุฑ ุชุจุนู‡ุง ุชู„ุงุชูŠู† millimeterููŠ ุงู„ู€ 30 ุฅุฐุง
640
+
641
+ 161
642
+ 00:13:02,000 --> 00:13:06,520
643
+ ุงู„ู€ H0ยต equal 13 ุฅุฐุง ุงู„ู€ null hypothesis just for
644
+
645
+ 162
646
+ 00:13:06,520 --> 00:13:10,160
647
+ example states the claim or assertion to be tested
648
+
649
+ 163
650
+ 00:13:10,160 --> 00:13:13,440
651
+ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ุดุฑูƒุฉ ุจุชุญูƒูŠ ุฅู† ู‚ุทุฑ ุงู„ุจุฑุบูŠ ุจูŠุณูˆุก 30
652
+
653
+ 164
654
+ 00:13:13,440 --> 00:13:17,040
655
+ millimeters ุฅุฐุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ claim ุงู„ู€ null
656
+
657
+ 165
658
+ 00:13:17,040 --> 00:13:19,740
659
+ hypothesis is always about a population parameter
660
+
661
+ 166
662
+ 00:13:19,740 --> 00:13:24,160
663
+ not about simple statistic and we know that we can
664
+
665
+ 167
666
+ 00:13:24,160 --> 00:13:26,180
667
+ distinguish between population parameter and
668
+
669
+ 168
670
+ 00:13:26,180 --> 00:13:30,080
671
+ simple statisticPopulation parameter is computed
672
+
673
+ 169
674
+ 00:13:30,080 --> 00:13:33,160
675
+ from a value computed from the population while
676
+
677
+ 170
678
+ 00:13:33,160 --> 00:13:36,820
679
+ sample statistic is a value computed from a sample
680
+
681
+ 171
682
+ 00:13:36,820 --> 00:13:40,040
683
+ ูุฑู‚ ุจูŠู†ู‡ู… ุฃุฎุฏู†ุง ู‚ุจู„ู‡ุง ุงู„ population ูˆ ุงู„ statistic
684
+
685
+ 172
686
+ 00:13:40,040 --> 00:13:43,940
687
+ ุงู„ population ุจุญุณุจ ู„ู„ู…ุฌุชู…ุน ูƒู„ู‡ ูˆ ุงู„ statistic ู„ู…ู†ุŸ
688
+
689
+ 173
690
+ 00:13:43,940 --> 00:13:50,620
691
+ ู„ู„ุนูŠู†ุฉ ู„ู„ samples ูู…ู…ูƒู† ุฃุญูƒูŠ mu equal to 30 ุจุณ
692
+
693
+ 174
694
+ 00:13:50,620 --> 00:13:56,000
695
+ ู…ู…ูƒู† ุฃุญูƒูŠ x bar equal to 30ู„ุฃู†ู‡ ู†ุญูƒูŠ ุฏุงูŠู…ุงู‹ claim
696
+
697
+ 175
698
+ 00:13:56,000 --> 00:14:00,320
699
+ about population parameter ุงู„ู„ูŠ ู‡ูˆ mu not x bar
700
+
701
+ 176
702
+ 00:14:10,450 --> 00:14:13,150
703
+ Always we begin with the assumption that the null
704
+
705
+ 177
706
+ 00:14:13,150 --> 00:14:16,670
707
+ hypothesis is true ุฏู‡ ุงูุชุฑุถ ุงู† ุงู„ null hypothesis
708
+
709
+ 178
710
+ 00:14:16,670 --> 00:14:20,970
711
+ is true ูŠุนู†ูŠ ู†ุงุฎุฏ ุงู„ุฏุนุงุก ุงู„ุตุญูŠุญ ูŠุนู†ูŠ ู…ุฌุฑุฏ ุดุฑูƒุฉ
712
+
713
+ 179
714
+ 00:14:20,970 --> 00:14:26,270
715
+ ุญูƒุงูŠุฉ ู‡ูŠูƒ ู†ุนุชุจุฑ ุงู„ุฏุนุงุก ูˆ ู…ุงู„ู‡ ุณู„ูŠู… Similar to the
716
+
717
+ 180
718
+ 00:14:26,270 --> 00:14:29,750
719
+ notion of innocent until proven guilty ุชุฑู‰ ููŠ ุนุงุฏุฉ
720
+
721
+ 181
722
+ 00:14:29,750 --> 00:14:34,310
723
+ ููŠ ุงู„ู…ุญุงูƒู… ุงู„ู‚ุงุถูŠ ุจูŠูุชุฑุถ ุงู† ุงู„ defendant ุงูˆ ุงู„ู…ุฏุนู‰
724
+
725
+ 182
726
+ 00:14:34,310 --> 00:14:39,620
727
+ ุนู„ูŠู‡ ู…ุงู„ู‡ุจุฑูŠุก ู…ุด ู‡ูŠูƒ ู„ุฃู† ุจูŠุญูƒูŠ ุฏุงูŠู…ุง ุงู„ H0 ุงู„
728
+
729
+ 183
730
+ 00:14:39,620 --> 00:14:45,340
731
+ defendant is
732
+
733
+ 184
734
+ 00:14:45,340 --> 00:14:50,360
735
+ innocent ู…ุด ู‡ูŠูƒ until proven his guilty ูŠุนู†ูŠ
736
+
737
+ 185
738
+ 00:14:50,360 --> 00:14:56,080
739
+ ุงู„ู…ุชู‡ู… ุจุฑูŠุก ู„ุบุงูŠุฉ ู…ุงุชุช ุจุชุฏุงู†ุชู‡ ุฏุงูŠู…ุง we assume the
740
+
741
+ 186
742
+ 00:14:56,080 --> 00:14:58,540
743
+ null hypothesis is true ุฏุงูŠู…ุง ุงูุชุฑุถ ุงู† ุงู„ูุฑุถูŠุฉ
744
+
745
+ 187
746
+ 00:14:58,540 --> 00:15:00,400
747
+ ุงู„ุตูุฑูŠุฉ ู…ุงู„ู‡ุง ุตุญูŠุญุฉ
748
+
749
+ 188
750
+ 00:15:02,470 --> 00:15:05,790
751
+ refers to the status quo or historical value ุฏุงูŠู…ุง
752
+
753
+ 189
754
+ 00:15:05,790 --> 00:15:13,510
755
+ ุจุงุฎุฏู‡ุง ู‡ุงุฌู… ูŠุณู…ูŠู‡ุง value historical value this
756
+
757
+ 190
758
+ 00:15:13,510 --> 00:15:18,790
759
+ value is always known ูƒูˆ ู…ุนุฑูˆูุฉ ุจุญูƒูŠ ู…ุซู„ุง ู‚ุทุฑ
760
+
761
+ 191
762
+ 00:15:18,790 --> 00:15:21,750
763
+ ุงู„ุจุฑุฌ ุจูŠุณุงูˆูŠ ุชู„ุงุชูŠู† ู…ู„ูŠู…ุชุฑ ู…ุนุฑูˆู ุงู„ู‚ุทุฑ ุจูŠุณุงูˆูŠ
764
+
765
+ 192
766
+ 00:15:21,750 --> 00:15:27,830
767
+ ุชู„ุงุชูŠู† ู…ู„ูŠู…ุชุฑ in general always contains equal
768
+
769
+ 193
770
+ 00:15:27,830 --> 00:15:34,580
771
+ sign ุฏุงูŠู…ุง ููŠ ุนู„ุงู…ุฉ ูŠุณุงูˆูŠ ุงูˆless than or equal
772
+
773
+ 194
774
+ 00:15:34,580 --> 00:15:38,680
775
+ less than
776
+
777
+ 195
778
+ 00:15:38,680 --> 00:15:48,520
779
+ or equal or greater than or equal ูŠุนู†ูŠ
780
+
781
+ 196
782
+ 00:15:48,520 --> 00:15:50,320
783
+ ุฏุงูŠู…ุง ููŠู‡ุง ุนู„ุงู…ุฉ ุงู„ู„ูŠ ูŠุณุงูˆูŠ ุงู…ุง
784
+
785
+ 197
786
+ 00:16:04,450 --> 00:16:07,610
787
+ ุฃูˆ less than or equal to 30 or greater than ..
788
+
789
+ 198
790
+ 00:16:07,610 --> 00:16:15,750
791
+ ูŠุนู†ูŠ ุฏุงุฆู…ุง ุงู„ equal sign ุงู„ equal sign appeals in
792
+
793
+ 199
794
+ 00:16:15,750 --> 00:16:21,050
795
+ H0 ูŠุนู†ูŠ ุฏุงุฆู…ุง ุฅุดุงุฑุฉ ูŠุณุงูˆูŠ ู…ุง ู„ู‡ุง ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ null
796
+
797
+ 200
798
+ 00:16:21,050 --> 00:16:27,140
799
+ hypothesismay or may not be rejected ู…ู…ูƒู† ูˆู…ู…ูƒู†
800
+
801
+ 201
802
+ 00:16:27,140 --> 00:16:32,260
803
+ ู…ุฑูุถู‡ุงุด ูŠุนู†ูŠ may or may not ู…ู…ูƒู† ุงูˆ ุบูŠุฑ ู…ู† ุงู„ู…ู…ูƒู†
804
+
805
+ 202
806
+ 00:16:32,260 --> 00:16:36,840
807
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุฑุจู…ุง rejected ุงูˆ ุฑุจู…ุง ู…ุงุนู…ู„ู‡ุงุด rejected
808
+
809
+ 203
810
+ 00:16:36,840 --> 00:16:42,260
811
+ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ู€ null hypothesis the second one is
812
+
813
+ 204
814
+ 00:16:42,260 --> 00:16:45,700
815
+ called the alternative hypothesis ุงุฐุง ููŠ ุนู†ุฏู‡ุง ุงู„
816
+
817
+ 205
818
+ 00:16:45,700 --> 00:16:48,160
819
+ null hypothesis number two the alternative
820
+
821
+ 206
822
+ 00:16:58,470 --> 00:17:03,550
823
+ ุงู„ุญูŠูˆุงู†ุงุช ู‡ูŠุจูˆุชูŠุณูŠุฉ ู…ูู‡ูˆู…ุฉ ุจู€ H1 ุŒ ู„ุฐู„ูƒ ู†ุณุชุฎุฏู… ู‡ุฐู‡
824
+
825
+ 207
826
+ 00:17:03,550 --> 00:17:10,530
827
+ ุงู„ูˆุตูุฉ H1 ู„ู„ุญูŠูˆุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู„ู„ุญูŠูˆุงู†ุงุช
828
+
829
+ 208
830
+ 00:17:10,530 --> 00:17:14,950
831
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู‡ูŠ ุนูƒุณ ุนูƒุณุฉ
832
+
833
+ 209
834
+ 00:17:14,950 --> 00:17:18,910
835
+ ู„ู„ุญูŠูˆุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุงู„ู…ูƒู…ู„ุฉ
836
+
837
+ 210
838
+ 00:17:21,020 --> 00:17:26,360
839
+ ู…ุซู„ู‹ุงุŒ ุฐูƒุฑู†ุง ู…ุฏุฑุณุฉ ู…ุตู…ู… ุงู„ุจุฑู†ุงู…ุฌ ุจูˆู„ุชุฑ ุซู„ุงุซุฉ
840
+
841
+ 211
842
+ 00:17:26,360 --> 00:17:33,020
843
+ ูˆุซู„ุงุซุฉ. ุงู„ุขู†ุŒ ู„ู„ุญูŠูˆุงู†ุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ุงู„ู€ H1 ู…ูŠูˆ ู„ุง
844
+
845
+ 212
846
+ 00:17:33,020 --> 00:17:37,780
847
+ ูŠู‚ู„ ุซู„ุงุซุฉ. ู„ุฐู„ูƒุŒ ู‡ุฐุง ุนูƒุณ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุฎุงุทุฆุฉ. ููŠ
848
+
849
+ 213
850
+ 00:17:37,780 --> 00:17:40,140
851
+ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุฎุงุทุฆุฉุŒ ุงู„ู…ู‡ู… ูƒุงู† ุซู„ุงุซุฉ. ุงู„ุขู†ุŒ ุงู„ู…ู‡ู…
852
+
853
+ 214
854
+ 00:17:40,140 --> 00:17:44,390
855
+ ู„ูŠุณ ุซู„ุงุซุฉ.it's challenges that says a score ูŠุนู†ูŠ
856
+
857
+ 215
858
+ 00:17:44,390 --> 00:17:48,390
859
+ ุจูŠูƒูˆู† ุนู…ู„ูŠุฉ ุฒูŠ ุชุญุฏูŠ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูŠุนู†ูŠ ุจุนู…ู„
860
+
861
+ 216
862
+ 00:17:48,390 --> 00:17:51,270
863
+ testing ู„ู„ null against ุงู„ alternate hypothesis
864
+
865
+ 217
866
+ 00:17:51,270 --> 00:17:55,390
867
+ never contains an equal sign ูŠุนู†ูŠ ุนู…ุฑู‡ ุจูƒูˆู† ููŠ
868
+
869
+ 218
870
+ 00:17:55,390 --> 00:17:59,210
871
+ ุนู†ุฏู‰ ุงู„ equal sign ุฃูˆ less than or equal or
872
+
873
+ 219
874
+ 00:17:59,210 --> 00:18:03,110
875
+ greater than or equal ุทุจ ุฅูŠุด ุจูŠูƒูˆู† ููŠู‡ุง ู…ูˆุฌูˆุฏุŸ ุฃู‡
876
+
877
+ 220
878
+ 00:18:03,110 --> 00:18:07,650
879
+ ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ููŠู‡ุง ู„ุง ูŠุณุงูˆูŠ ูˆ ุฅูŠุด ุชุงู†ูŠุŸ ุฃูƒุจุฑ ุฃูˆ ุฃุฒุฑุฑ
880
+
881
+ 221
882
+ 00:18:07,650 --> 00:18:10,350
883
+ ูŠุนู†ูŠ ู‡ูŠ compliment ุจุณ ุฅุฐุง ูƒุงู† ููŠู‡ ูŠุณุงูˆูŠ ุฅูŠุด ุงู„
884
+
885
+ 222
886
+ 00:18:10,350 --> 00:18:13,840
887
+ compliment ุชุจุนู‡ุŸู„ุฃ ูŠุณุงูˆูŠ ู…ุธู„ูˆูƒุŒ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช
888
+
889
+ 223
890
+ 00:18:13,840 --> 00:18:18,020
891
+ ุงู„ู…ุซู„ุฉ ููŠ ุงู„ null ูŠุณุงูˆูŠุŒ ุฅูŠุด ุจุชูƒูˆู† ุงู„ alternateุŸ
892
+
893
+ 224
894
+ 00:18:18,020 --> 00:18:21,800
895
+ ู…ุฑุชูŠู† ูŠุนู†ูŠุŒ ู‡ุงูŠ ุงู„ signุŒ ู‡ุงูŠ ุงู„ table ู‡ูŠูƒ ุตุบูŠุฑุฉุŒ
896
+
897
+ 225
898
+ 00:18:21,800 --> 00:18:30,060
899
+ sign H0, H1ุŒ ู„ูˆ ูƒุงู†ุช ุงู„ sign ูŠุณุงูˆูŠ ููŠ
900
+
901
+ 226
902
+ 00:18:30,060 --> 00:18:35,020
903
+ ุงู„ alternateุŒ ู„ูˆ ูƒุงู† ูŠุณุงูˆูŠ ู‡ู†ุงุŒ ุฅูŠุด ู‡ุชูƒูˆู† ููŠ ุงู„
904
+
905
+ 227
906
+ 00:18:35,020 --> 00:18:41,070
907
+ H1ุŸ ู„ุฃ ูŠุณุงูˆูŠู„ูˆ ูƒุงู†ุช ููŠ ุงู„ู€ Optional greater than
908
+
909
+ 228
910
+ 00:18:41,070 --> 00:18:45,930
911
+ or equal to ุฅูŠุด ุจุชูƒูˆู† ู‡ู†ุงุŸ ุฃู†ุง ุจุญูƒูŠ opposite ุฅูŠุด
912
+
913
+ 229
914
+ 00:18:45,930 --> 00:18:49,390
915
+ ู…ุนู†ู‰ opposite ุฃูˆ complementุŸ ุจุชูƒู…ู„ ุฅุฐุง ูƒุงู†ุช ู‡ุฐุง
916
+
917
+ 230
918
+ 00:18:49,390 --> 00:18:52,790
919
+ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ ุฅูŠุด ู‡ูŠ ุงู„ู…ูƒู…ู„ุฉ ุฅู„ูŠู‡ุงุŸ less thanุŒ ู„ูˆ
920
+
921
+ 231
922
+ 00:18:52,790 --> 00:18:58,430
923
+ ูƒุงู†ุช less ุฃูˆ ูŠุณุงูˆูŠุŸ correctุŒ ุฃูŠ ู…ุนู†ู‰ุŒ ู„ุญุธุฉ ุงู„
924
+
925
+ 232
926
+ 00:18:58,430 --> 00:19:01,070
927
+ equal sign appears under the null hypothesis
928
+
929
+ 233
930
+ 00:19:01,070 --> 00:19:06,630
931
+ ุฅุดุงุฑุชูŠ ุงู„ูŠุณุงูˆูŠุŒ ู…ูˆุฌูˆุฏ under ุงู„ H0 whileEach one
932
+
933
+ 234
934
+ 00:19:06,630 --> 00:19:10,670
935
+ does not contain equal sign ุฅุฐุง never contains
936
+
937
+ 235
938
+ 00:19:10,670 --> 00:19:15,170
939
+ ูŠุณุงูˆูŠ ุฃูˆ ุฃู‚ู„ ูŠุณุงูˆูŠ ุฃูˆ ุฃูƒุจุฑ ูŠุณุงูˆูŠ sign May or may
940
+
941
+ 236
942
+ 00:19:15,170 --> 00:19:19,510
943
+ not be proven ู„ุงุญุธ ููŠ ูุฑู‚ ููŠ ุงู„ุฃูˆู„ ุฅูŠุด ุญูƒูŠุชุŸ ุฅุฐุง
944
+
945
+ 237
946
+ 00:19:19,510 --> 00:19:23,710
947
+ ุญุฏ ู…ุด ุฐุงูƒุฑุŸ May or may not be rejected ู…ู…ูƒู† ุฃูˆ ู…ุด
948
+
949
+ 238
950
+ 00:19:23,710 --> 00:19:27,470
951
+ ู…ู…ูƒู† ุฃู†ูุถู‡ุง ู‡ู†ุง ุฅูŠุด ุจุญูƒูŠ proven ุฃุซุจุชู‡ุง
952
+
953
+ 239
954
+ 00:19:30,600 --> 00:19:33,980
955
+ ุงู„ุฎูŠุฑ ุงู„ุฃุฎูŠุฑ ู‡ูˆ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุงุช ุงู„ู…ุฎุชู„ูุฉ ู‡ูŠ ุนุงู…ุฉ
956
+
957
+ 240
958
+ 00:19:33,980 --> 00:19:38,280
959
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุงุช ุงู„ุชูŠ ูŠุญุงูˆู„ ุงู„ู…ุญู‚ู‚ ุฃู† ุชุซุจุชู‡ุง ุงู„ู…ุญู‚ู‚
960
+
961
+ 241
962
+ 00:19:38,280 --> 00:19:42,820
963
+ ุฏุงุฆู…ุง ุงู„ูุฑุถูŠุฉ ุงู„ุจุฏูŠู„ุฉ ุงู„ุจุงุญุซ ูŠุญุงูˆู„ ุฅูŠุดุŸ ูŠุซุจุชู‡ุง
964
+
965
+ 242
966
+ 00:19:42,820 --> 00:19:46,460
967
+ ู„ุฅูŠุด ูŠุซุจุชู‡ุงุŸ ู„ุฅูŠุด ูŠุซุจุชู‡ุงุŸ ู„ุฅู† ู…ุซู„ุง ุงู„ู€mean less
968
+
969
+ 243
970
+ 00:19:46,460 --> 00:19:50,800
971
+ than 10 seconds ุฃูˆ 10 days ุงู„ู€mean greater than 50
972
+
973
+ 244
974
+ 00:19:50,800 --> 00:19:54,480
975
+ ุฃูˆ ุงู„ู€mean does not equal a hundred ู„ุฐู„ูƒ ุงู„ู…ุญู‚ู‚
976
+
977
+ 245
978
+ 00:19:54,480 --> 00:19:56,540
979
+ ูŠุชู…ู†ู‰ ูƒุจูŠุฑ ู„ุฅุฏุงุฑุฉ
980
+
981
+ 246
982
+ 00:19:58,320 --> 00:20:02,020
983
+ ุงู„ุนูŠุจูˆุชูŠุฒูŠุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฃูˆ ุชุจุฑูˆุน ุงู„ุนูŠุจูˆุชูŠุฒูŠุงุช
984
+
985
+ 247
986
+ 00:20:02,020 --> 00:20:06,580
987
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุงู„ุขู† ุณูˆู ู†ุนุทูŠ ุงู„ุจุฑูˆุณูŠุณ ู„ู„ุนูŠุจูˆุชูŠุฒูŠุงุช
988
+
989
+ 248
990
+ 00:20:06,580 --> 00:20:15,440
991
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุจุทุฑูŠู‚ุฉ ุจุณูŠุทุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ูˆุถูˆุน ุนู…ุฑู‡ุง 50
992
+
993
+ 249
994
+ 00:20:15,440 --> 00:20:22,000
995
+ ุณู†ุฉ ุนู…ุฑู‡ุง 50 ุณู†ุฉ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ุณูƒุงู† ูƒู„ู‡ู… ุจุฏุฃุช ..
996
+
997
+ 250
998
+ 00:20:22,000 --> 00:20:28,130
999
+ ุงูุชุฑุถ ุงู† ุงู„ู…ุชูˆุณุท ุนู…ุงุฑู‡ู… 50 ุณู†ุฉู‡ุฐุง ู…ุนู†ุงู‡ ุงูŠุดุŸ ุงู†
1000
+
1001
+ 251
1002
+ 00:20:28,130 --> 00:20:35,670
1003
+ ุงู†ุง ุจุฏุฃ ุงุนู…ู„ testing ุงู„ู€ mean equal fifty ู„ู…ุง
1004
+
1005
+ 252
1006
+ 00:20:35,670 --> 00:20:38,350
1007
+ ุจุญูƒูŠ ุจุนู…ู„ testing ู„ู€ mean equal fifty ุงูŠุด ู‡ุชูƒูˆู†
1008
+
1009
+ 253
1010
+ 00:20:38,350 --> 00:20:41,390
1011
+ ุงู„ู€ alternative hypothesisุŸ ู‡ูŠ ุนู„ู‰ ุทูˆู„ ุงู„ู€
1012
+
1013
+ 254
1014
+ 00:20:41,390 --> 00:20:43,790
1015
+ opposite ุชุจุนุชู‡ุง ุฒูŠ ู…ุง ุญูƒูŠุช ููŠ ุงู„ุชุงุจุนุงุชุŒ ุฒูŠ ู„ุง ุฅูŠุฒุง
1016
+
1017
+ 255
1018
+ 00:20:43,790 --> 00:20:49,010
1019
+ ูŠุณุงูˆูŠุŒ ู„ุง ูŠุณุงูˆูŠ ูุง automatic ุจูƒุชุจ versusุŒ ุจุนู…ู„
1020
+
1021
+ 256
1022
+ 00:20:49,010 --> 00:20:53,830
1023
+ testing ุงุฎุชุจุงุฑ
1024
+
1025
+ 257
1026
+ 00:20:53,830 --> 00:21:00,960
1027
+ H0, mean equal fifty versusุฃูˆ against ู…ุงู†ู‡ูŠุด
1028
+
1029
+ 258
1030
+ 00:21:00,960 --> 00:21:09,780
1031
+ ู…ู‚ุงุจู„ ุงู„ H1 ู…ูŠูˆู…ูŠุงู„ู‡ุง ุชุณูˆู‰ ุฎู…ุณูŠู† I'm ุจุญูƒูŠ
1032
+
1033
+ 259
1034
+ 00:21:09,780 --> 00:21:15,900
1035
+ population mean equal fifty this fifty is called
1036
+
1037
+ 260
1038
+ 00:21:15,900 --> 00:21:17,520
1039
+ historical value
1040
+
1041
+ 261
1042
+ 00:21:20,140 --> 00:21:23,120
1043
+ ูŠุนู†ูŠ ุฅูŠุด historical valueุŸ ูŠุนู†ูŠ ู‚ูŠู…ุฉ ุฏู‡ ู†ุฌูŠุจ ุชู…ุงู…ุง
1044
+
1045
+ 262
1046
+ 00:21:23,120 --> 00:21:27,040
1047
+ ู…ู† ุฎู„ุงู„ records ู…ุนูŠู†ุฉ ุงู„ records ุชุงุฑูŠุฎูŠุง ุจุชุญูƒูŠ
1048
+
1049
+ 263
1050
+ 00:21:27,040 --> 00:21:30,640
1051
+ ู…ุชูˆุณุท ุงู„ุณูƒุงู† ุฎู…ุณูŠู† ุณู†ุฉ ุฃู†ุง ุนุงูŠุฒ ุฃุดูˆู ุฅุฐุง ูƒุงู† ู…ุชูˆุณุท
1052
+
1053
+ 264
1054
+ 00:21:30,640 --> 00:21:34,340
1055
+ ุณูƒุงู† ุฎู…ุณูŠู† ูˆู„ุง ู„ุฃ ุฅุฐุง ู…ูŠูˆ equal fifty against ู…ูŠูˆ
1056
+
1057
+ 265
1058
+ 00:21:34,340 --> 00:21:38,760
1059
+ does not equal fifty ุฅูŠุด ุจู†ุนู…ู„ุŸ ู‡ูŠ ุนู†ุฏ ุงู„
1060
+
1061
+ 266
1062
+ 00:21:38,760 --> 00:21:45,320
1063
+ population is very large ุฅูŠุด ุจุงุฎุฏ ู…ู†ู‡ุŸ sampleูˆ ู…ู†
1064
+
1065
+ 267
1066
+ 00:21:45,320 --> 00:21:48,340
1067
+ ุงู„ sample ุงูŠุด ุจุทู„ุนุŸ ุงู„ sample mean ุงุฐุง ู‡ูŠ ุงู„
1068
+
1069
+ 268
1070
+ 00:21:48,340 --> 00:21:54,040
1071
+ population ุฃุฎุฏุช ู…ู†ู‡ sample ูˆ ู…ู† ุงู„ sample ุจุทู„ุน ุงู„
1072
+
1073
+ 269
1074
+ 00:21:54,040 --> 00:21:58,100
1075
+ X ุจู‚ู‰ now
1076
+
1077
+ 270
1078
+ 00:21:58,100 --> 00:22:03,220
1079
+ for example suppose just for example ุงู„ sample
1080
+
1081
+ 271
1082
+ 00:22:03,220 --> 00:22:09,880
1083
+ mean was 20 ุฃุฎุฏุช sample ุทู„ุน ุงู„ู…ุชูˆุณุท ุชุจุนู‡ ู„ุนู…ุฑ 20
1084
+
1085
+ 272
1086
+ 00:22:09,880 --> 00:22:14,500
1087
+ ุณู†ุฉุฅูŠู‡ุŸ ู„ุฃู† ู‡ูˆ .. ู‡ูˆ ุงู„ุฅุฏุนุงุก ุฅู†ู‡ ู…ูŠู† ู…ุงู„ู‡ ุจุณูˆุก
1088
+
1089
+ 273
1090
+ 00:22:14,500 --> 00:22:20,120
1091
+ ุฎู…ุณูŠู† ู„ู…ุง ุฎุฏุช ุนูŠู†ุฉ ุทู„ุน ุนุดุฑูŠู† ุทุจ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู† ุงู„ู„ู‡
1092
+
1093
+ 274
1094
+ 00:22:20,120 --> 00:22:25,440
1095
+ ุจูŠู‚ูˆู„ ุตุญ ูˆ ู„ุง ู…ุด ุตุญุŸ ู…ุด ุตุญุŒ ูุฅู† ู‡ูˆ ุจูŠุญูƒูŠ ุฎู…ุณูŠู† ูˆ
1096
+
1097
+ 275
1098
+ 00:22:25,440 --> 00:22:30,140
1099
+ ุทู„ุนุช ุนุดุฑูŠู† ุงู„ูุฑู‚ ุจูŠู† ู…ุงู„ู‡ ูƒุจูŠุฑ ุฌุฏุงุŒ ูˆู„ุง ู„ุฃุŒ ูŠุนู†ูŠ
1100
+
1101
+ 276
1102
+ 00:22:30,140 --> 00:22:35,960
1103
+ ู†ุณุจุฉ ูˆ ุชู†ุงุซุฑ ูŠุนุชุจุฑ ูƒุจูŠุฑ ุฌุฏุง this is significantly
1104
+
1105
+ 277
1106
+ 00:22:35,960 --> 00:22:38,700
1107
+ lower than the claimed mean population of fifty
1108
+
1109
+ 278
1110
+ 00:22:38,700 --> 00:22:41,900
1111
+ ุฅู†ู‡ ุฃู‚ู„ ุจูƒุชูŠุฑุŒ ุฅูŠุด ู…ุนู†ุงู‡ significantlyุŸ
1112
+
1113
+ 279
1114
+ 00:22:44,480 --> 00:22:48,720
1115
+ ูƒุจูŠุฑ ุจุดูƒู„ ุฌูˆู‡ุฑ ูŠุนู†ูŠ ุงู„ significate ุงู„ู…ุนู†ู‰ ุฌูˆู‡ุฑูŠุง
1116
+
1117
+ 280
1118
+ 00:22:48,720 --> 00:22:53,380
1119
+ ูƒุจูŠุฑ ูˆุงุถุญ ุงู† ุงู„ 20 is significantly lower than the
1120
+
1121
+ 281
1122
+ 00:22:53,380 --> 00:22:57,100
1123
+ claimed mean age of the population age of 50 ูˆุงุถุญ
1124
+
1125
+ 282
1126
+ 00:22:57,100 --> 00:23:01,620
1127
+ ุงู† ุงุญู†ุง ููŠ ูุฑู‚ ูƒุจูŠุฑ ุฌุฏุง ุจูŠู†ู†ุง ุงู„ู„ูŠ ุงู†ุง ุจุญูƒูŠ if the
1128
+
1129
+ 283
1130
+ 00:23:01,620 --> 00:23:04,020
1131
+ null were true if the null hypothesis were true
1132
+
1133
+ 284
1134
+ 00:23:04,020 --> 00:23:08,760
1135
+ ุง๏ฟฝ๏ฟฝุง ุฏุงูŠู…ุง ุจูุชุฑุถ ุงู† ุงู„ null is true ุงู†ู‡ุง ุตุญูŠุญุฉุทุจ
1136
+
1137
+ 285
1138
+ 00:23:08,760 --> 00:23:12,860
1139
+ ุฅุฐุง ู†ุงู„ ุตุญูŠุญุฉ ุฅู†ูƒ ุชุญุตู„ ุนู„ู‰ ู…ุชูˆุณุท ุนู…ุฑ ู„ู„ุนูŠู†ุฉ ุจุณุงูˆุฉ
1140
+
1141
+ 286
1142
+ 00:23:12,860 --> 00:23:17,900
1143
+ ุนุดุฑูŠู† ุงุญุชู…ุงู„ูƒ ูƒุจูŠุฑ ูˆู„ุง ุตุบูŠุฑ ุตุบูŠุฑ ุฌุฏุง ุฅุฐุง ุงู„
1144
+
1145
+ 287
1146
+ 00:23:17,900 --> 00:23:20,720
1147
+ probability of getting such a different sample
1148
+
1149
+ 288
1150
+ 00:23:20,720 --> 00:23:24,860
1151
+ mean would be very small ุทุจูŠุนูŠ ูˆู„ุง ู„ุฃ ุฅุฐุง ุฃู†ุง
1152
+
1153
+ 289
1154
+ 00:23:24,860 --> 00:23:29,340
1155
+ ุจูุชุฑุถ ุงู„ mean ุจุณุงูˆุฉ ุฎู…ุณูŠู† ูˆุงุฎุฏุช ุนูŠู†ุฉ ุทู„ุนุช ุนุดุฑูŠู†
1156
+
1157
+ 290
1158
+ 00:23:29,340 --> 00:23:33,060
1159
+ ู…ุนู†ู‰ ูƒุฏู‡ ุฅู†ูƒ ุชุงุฎุฏ ุนุดุฑูŠู† ูƒุญุงุฌุฉ ู…ุนูŠู†ุฉ ุทู„ุน ู…ุนูƒ ุนุดุฑูŠู†
1160
+
1161
+ 291
1162
+ 00:23:33,060 --> 00:23:37,710
1163
+ ุงุญุชู…ุงู„ู‡ ู…ุงู„ู‡ ุตุบูŠุฑ ุฌุฏุงู‡ุฐุง ูŠุนู†ูŠ ุฃู†ูƒ ุชู†ูุฐ ู…ู† ุญูŠุงุฉ
1164
+
1165
+ 292
1166
+ 00:23:37,710 --> 00:23:40,990
1167
+ ุงู„ู€hypothesis. ู…ุน ูƒุฏู‡ ุญุฑูุถู‡ุง ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ ุทุงู„ู…ุง ุทู„ุน
1168
+
1169
+ 293
1170
+ 00:23:40,990 --> 00:23:44,370
1171
+ ู…ุงุฆุฉ ูˆ ุนุดุฑูŠู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุด ุตุญูŠุŒ ู…ุธุจูˆุทุŸ ุงู†ุง ุจูุทุฑ
1172
+
1173
+ 294
1174
+ 00:23:44,370 --> 00:23:48,110
1175
+ ุจุงู„ุณุงุนุฉ ูˆ ุฎู…ุณูŠู†ุŒ ุทู„ุน ู…ุงุฆุฉ ูˆ ุนุดุฑูŠู†ุŒ ู…ุน ูƒุฏู‡ ู…ุฆูˆ
1176
+
1177
+ 295
1178
+ 00:23:48,110 --> 00:23:51,170
1179
+ ุจุงู„ุณุงุนุฉ ูˆ ุฎู…ุณูŠู†ุŒ ุตุญูŠุญ ูˆู„ุง ุฎุงุทุฆุŸ ุบู„ุทุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ูƒ
1180
+
1181
+ 296
1182
+ 00:23:51,170 --> 00:23:54,430
1183
+ ุชู†ูุฐ ู…ู† ุญูŠุงุฉ ุงู„ู€hypothesis. in other words,
1184
+
1185
+ 297
1186
+ 00:23:54,710 --> 00:23:59,090
1187
+ getting a sum of twenty ูŠุนู†ูŠ ุชุญุตู„ ุนู„ู‰ ุนูŠู† ุญุฌู…
1188
+
1189
+ 298
1190
+ 00:23:59,090 --> 00:24:03,270
1191
+ ู…ุชูˆุณุทุฉ ุนุดุฑูŠู† is so unlikely if the population mean
1192
+
1193
+ 299
1194
+ 00:24:03,270 --> 00:24:03,890
1195
+ was fifty.
1196
+
1197
+ 300
1198
+ 00:24:06,510 --> 00:24:10,130
1199
+ ู„ูˆ ุจุงุฎุฏ ุนูŠู†ูŠ ุงุทู„ุน ู…ุนุงูŠุง ุงู„ mean ุชุจุนู‡ุง ุจุณูˆุก ุนุดุฑูŠู†
1200
+
1201
+ 301
1202
+ 00:24:10,130 --> 00:24:17,050
1203
+ ู‡ุฐุง ู…ุง ู„ู‡ unlikely ุบูŠุฑ ู…ุญุชู…ู„ if the population
1204
+
1205
+ 302
1206
+ 00:24:17,050 --> 00:24:20,310
1207
+ mean was fifty so you conclude that population
1208
+
1209
+ 303
1210
+ 00:24:20,310 --> 00:24:24,470
1211
+ mean ู…ุงู„ู‡ must not be fifty ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ู…ุนุงูŠุง ุงู†ุง
1212
+
1213
+ 304
1214
+ 00:24:24,470 --> 00:24:28,770
1215
+ ุจุนู…ู„ claim ู„ fifty ุทู„ุน twenty ุงูƒูŠุฏ ุงูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนูŠ
1216
+
1217
+ 305
1218
+ 00:24:30,980 --> 00:24:34,160
1219
+ rejected ู„ูŠุด rejected zero ู„ุฃู† ุงู„ difference
1220
+
1221
+ 306
1222
+ 00:24:34,160 --> 00:24:36,820
1223
+ between ุงู„ claim ุงู„ู„ูŠ ู‡ูˆ population mean ูˆ ุงู„
1224
+
1225
+ 307
1226
+ 00:24:36,820 --> 00:24:40,840
1227
+ sample mean ู…ุงู„ู‡ is very large again the question
1228
+
1229
+ 308
1230
+ 00:24:40,840 --> 00:24:43,980
1231
+ is how large is large enough to reject themุŸ
1232
+
1233
+ 309
1234
+ 00:24:43,980 --> 00:24:47,260
1235
+ ุงู„hypothesis ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู‚ุจู„ ู‡ูŠูƒ ุชุฐูƒุฑ how large is
1236
+
1237
+ 310
1238
+ 00:24:47,260 --> 00:24:50,140
1239
+ large enough to support the population is normally
1240
+
1241
+ 311
1242
+ 00:24:50,140 --> 00:24:55,140
1243
+ distributedุŸ ู‡ูŠ ู†ูุณ ุงู„ู‚ุตุฉ how large is largeุŸู„ุชู†ู‚ู„
1244
+
1245
+ 312
1246
+ 00:24:55,140 --> 00:24:57,860
1247
+ ุงู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ู†ู‡ุงุฆูŠุฉุŒ ู‡ุฐุง ู„ู„ูˆู‚ุช ุงู„ู‚ุงุฏู… ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ
1248
+
1249
+ 313
1250
+ 00:24:57,860 --> 00:25:02,740
1251
+ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ู…ู‡ู… ุจูŠู† ุงู„ุงุฏุนุงุก
1252
+
1253
+ 314
1254
+ 00:25:02,740 --> 00:25:06,100
1255
+ ูˆุงู„ู…ุนู†ู‰ ุงู„ุณุงู…ูŠ ู„ุฐู„ูƒ ู†ู†ู‚ู„ ุงู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ู†ู‡ุงุฆูŠุฉ
1256
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qOsTqyHxuEw_postprocess.srt ADDED
@@ -0,0 +1,1588 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,990 --> 00:00:25,190
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃุชุญุฏุซ ุนู†
4
+
5
+ 2
6
+ 00:00:25,190 --> 00:00:31,690
7
+ ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ ููŠ ู‡ุฐุง ุงู„ูƒุชุงุจ ุงู„ุญุฏุซ 12 ูŠุชุญุฏุซ ุนู† ู†ูˆุน
8
+
9
+ 3
10
+ 00:00:31,690 --> 00:00:46,590
11
+ ุฌุฏูŠุฏ ุชุณู…ู‰ ูƒุงูŠ ุณูƒูˆูŠุฑ ุชุณุช ุญุฏุซ 11 ูƒุงูŠ
12
+
13
+ 4
14
+ 00:00:46,590 --> 00:00:47,090
15
+ ุณูƒูˆูŠุฑ
16
+
17
+ 5
18
+ 00:00:54,810 --> 00:01:01,070
19
+ CHI is pronounced as CHI and
20
+
21
+ 6
22
+ 00:01:01,070 --> 00:01:07,970
23
+ denoted by this symbol CHI square CHI ุญุฑู ูŠูˆู†ุงู†ูŠ
24
+
25
+ 7
26
+ 00:01:07,970 --> 00:01:12,870
27
+ Greek letter ุฒูŠ Alpha ูˆ Beta ูˆ ุฎุฏู…ุฉ ู‚ุจู„ู‡ุง ูู‡ุฐุง
28
+
29
+ 8
30
+ 00:01:12,870 --> 00:01:17,890
31
+ ุงู„ุฑู…ุฒ ุชุจุนู‡ ุฒูŠ ุงู„ X ุจุณ ุฅุชุงู„ูŠูƒ ุดูˆูŠุฉ ูˆ ุนู„ูŠู‡ ุงู„ square
32
+
33
+ 9
34
+ 00:01:17,890 --> 00:01:23,670
35
+ CHI squareูู‡ุฐุง ูŠู†ูุฐ ูƒุงูŠ ูƒุงูŠ ุฒูŠ alpha ุฒูŠ beta ู‡ุฏูˆู„
36
+
37
+ 10
38
+ 00:01:23,670 --> 00:01:29,470
39
+ agricultural ูˆุงุญุฏ ู…ู† ุงู„ุฃุญุฑู ุงู„ูŠูˆู†ุงู†ูŠุฉ ุงุณู…ู‡ ูƒุงูŠ ูƒุงูŠ
40
+
41
+ 11
42
+ 00:01:29,470 --> 00:01:34,290
43
+ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู…ู† ุบูŠุฑ ุงู„ square ูƒุงูŠ
44
+
45
+ 12
46
+ 00:01:34,290 --> 00:01:40,070
47
+ ุงูƒุชุจูŠ ูƒูŠุงุจ ุงู„ุนุฑุจูŠ ูƒุงูŠ
48
+
49
+ 13
50
+ 00:01:40,070 --> 00:01:44,910
51
+ there
52
+
53
+ 14
54
+ 00:01:44,910 --> 00:01:48,150
55
+ is only one objective in this chapter how and when
56
+
57
+ 15
58
+ 00:01:48,930 --> 00:01:52,170
59
+ to use the chi-square test for contingency tables
60
+
61
+ 16
62
+ 00:01:52,170 --> 00:01:59,130
63
+ ูƒูŠู ูˆ ู…ุชู‰ ุงูˆ ู…ุชู‰ ูˆ ูƒูŠู ูŠู…ูƒู† ุงุณุชุฎุฏุงู… ุงู„ test ู„ุญุงุฌุฉ
64
+
65
+ 17
66
+ 00:01:59,130 --> 00:02:02,890
67
+ ุงุณู…ู‡ุง contingency tables now we will start with
68
+
69
+ 18
70
+ 00:02:02,890 --> 00:02:06,470
71
+ the definition of contingency tables what does
72
+
73
+ 19
74
+ 00:02:06,470 --> 00:02:10,210
75
+ contingency table mean ุงูŠุด ุจู‚ุตุฏ ุจุงู„ contingency
76
+
77
+ 20
78
+ 00:02:10,210 --> 00:02:17,060
79
+ table ุงูŠุด ู…ุนู†ุงู‡ ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉcontingency tables
80
+
81
+ 21
82
+ 00:02:17,060 --> 00:02:20,300
83
+ useful in situations comparing multiple population
84
+
85
+ 22
86
+ 00:02:20,300 --> 00:02:26,580
87
+ proportions ุจุณุชุฎุฏู…ู‡ู… ู„ุนู…ู„ ู…ู‚ุงุฑู†ุฉ proportions ู…ู…ูƒู†
88
+
89
+ 23
90
+ 00:02:26,580 --> 00:02:29,600
91
+ ุงุชู†ูŠู† ูˆ ุงูƒุชุฑ ูŠุนู†ูŠ two or more population
92
+
93
+ 24
94
+ 00:02:29,600 --> 00:02:34,040
95
+ proportions you classify sample observations
96
+
97
+ 25
98
+ 00:02:34,040 --> 00:02:37,300
99
+ according to two or more characteristics ุฎุฏู†ุง
100
+
101
+ 26
102
+ 00:02:37,300 --> 00:02:40,800
103
+ ู‚ุจู„ู‡ุง ููŠ chapter 10 ู„ู…ุง ุจู†ุญูƒูŠ male ูˆ female ูˆ
104
+
105
+ 27
106
+ 00:02:40,800 --> 00:02:43,840
107
+ ุจู†ุญูƒูŠ yes ูˆ no ู‡ุฐูˆ ู†ุณู…ูŠู‡ two characteristics
108
+
109
+ 28
110
+ 00:02:45,040 --> 00:02:47,120
111
+ Sometimes we have more than two characteristics
112
+
113
+ 29
114
+ 00:02:47,120 --> 00:02:54,120
115
+ like what's your opinion about ุฃุดูŠุงุก ู…ุนูŠู†ุฉ ุดุบู„ุฉ
116
+
117
+ 30
118
+ 00:02:54,120 --> 00:02:58,560
119
+ ู…ุนูŠู†ุฉ either agree or disagree ู‡ุฐุง ู†ุณู…ูŠู‡ two
120
+
121
+ 31
122
+ 00:02:58,560 --> 00:03:03,400
123
+ proportions but sometimes we could have strongly
124
+
125
+ 32
126
+ 00:03:03,400 --> 00:03:08,160
127
+ agreeagree, disagree and strongly disagree ูููŠ ู‡ุฐู‡
128
+
129
+ 33
130
+ 00:03:08,160 --> 00:03:12,880
131
+ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุฃูˆ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ููƒูŠู ูŠู…ูƒู†ู†ุง
132
+
133
+ 34
134
+ 00:03:12,880 --> 00:03:16,000
135
+ ุฃู† ู†ุฌุนู„ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ contingency table ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง
136
+
137
+ 35
138
+ 00:03:16,000 --> 00:03:17,540
139
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
140
+
141
+ 36
142
+ 00:03:17,540 --> 00:03:19,880
143
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
144
+
145
+ 37
146
+ 00:03:19,880 --> 00:03:20,580
147
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
148
+
149
+ 38
150
+ 00:03:20,580 --> 00:03:21,100
151
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
152
+
153
+ 39
154
+ 00:03:21,100 --> 00:03:23,000
155
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
156
+
157
+ 40
158
+ 00:03:23,000 --> 00:03:34,590
159
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงุชูˆุงูู‚ุŒ ุฎู„ู‘ูŠู‡ุง ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
160
+
161
+ 41
162
+ 00:03:34,590 --> 00:03:37,530
163
+ ูˆ ุฎู„ุงุต ูƒู†ุชูŠู† ุฌู†ุณ ุชุงุจุน ูŠุนู†ูŠ ุจุชูƒูˆู† ุนู†ุฏูƒ .. ุจุชุนู…ู„
164
+
165
+ 42
166
+ 00:03:37,530 --> 00:03:41,150
167
+ comparison between two or more population
168
+
169
+ 43
170
+ 00:03:41,150 --> 00:03:45,130
171
+ proportions ุงูˆู„ ุฌุงุจุชูˆุฏ ุงู† ุดุงุก ุงู„ู„ู‡ just example
172
+
173
+ 44
174
+ 00:03:45,130 --> 00:03:48,530
175
+ for two characteristics ู„ูˆ ูƒู†ุง ููŠู‡ุง ุนู†ุฏ ุงุชู†ูŠู†
176
+
177
+ 45
178
+ 00:03:48,530 --> 00:03:52,850
179
+ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ูˆุถูˆุน ุงู„ูŠูˆู… ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุดู‡ุฑ
180
+
181
+ 46
182
+ 00:03:52,850 --> 00:03:56,270
183
+ ุนุดุฑุฉ ููŠ ุดู‡ุฑ ุนุดุฑุฉ ุฃุฎุฏู†ุง comparing between two
184
+
185
+ 47
186
+ 00:03:56,270 --> 00:04:00,030
187
+ proportions ู‡ู†ุง ุจุฑุถู‡ ู‡ู†ุงุฎุฏ comparing two
188
+
189
+ 48
190
+ 00:04:00,030 --> 00:04:03,020
191
+ population proportionsูŠุนู†ูŠ ุงู„ู„ูŠ ุญู„ู„ู†ุงู‡ ููŠ ุดุจุท
192
+
193
+ 49
194
+ 00:04:03,020 --> 00:04:08,520
195
+ ุงู„ุนุดุฑุฉ ุจู…ู…ูƒู† ุฃู† ู†ุญู„ู‡ ุจู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ุชุจุน comparing
196
+
197
+ 50
198
+ 00:04:08,520 --> 00:04:11,800
199
+ two population proportions for example ุงู„
200
+
201
+ 51
202
+ 00:04:11,800 --> 00:04:13,900
203
+ contingency ุชุงุจุน ุนุดุงู† ู†ุนุฑู ุฅูŠุด ู…ูุฑูˆุถ ุงู„
204
+
205
+ 52
206
+ 00:04:13,900 --> 00:04:17,860
207
+ contingency ุชุงุจุน ุจุชูƒู„ู… ุงู„ example ุนู„ู‰ left-handed
208
+
209
+ 53
210
+ 00:04:17,860 --> 00:04:25,760
211
+ versus gender ุจุชุนุฑู ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠูƒูˆู† ุจูŠุณุชุฎุฏู… ุงู„
212
+
213
+ 54
214
+ 00:04:25,760 --> 00:04:30,220
215
+ left hand or ุงู„ right hand ูู…ู…ูƒู† ุงู„ dominant hand
216
+
217
+ 55
218
+ 00:04:30,220 --> 00:04:36,300
219
+ ุชูƒูˆู† leftูŠุนู†ูŠ ุงู„ู…ุณูŠุทุฑ dominant ู…ุนู†ุงู‡ ู…ุณูŠุทุฑ ุฃูˆ
220
+
221
+ 56
222
+ 00:04:36,300 --> 00:04:40,810
223
+ ู…ู‡ูŠู…ู† ุนู„ูŠูƒุชุณุชุฎุฏู… either left hand or right hand
224
+
225
+ 57
226
+ 00:04:40,810 --> 00:04:44,250
227
+ ูููŠ ุนู†ุฏู‰ two characteristics either I use my left
228
+
229
+ 58
230
+ 00:04:44,250 --> 00:04:47,750
231
+ or your right hand and the other variable is
232
+
233
+ 59
234
+ 00:04:47,750 --> 00:04:51,450
235
+ called gender either male or female so in this
236
+
237
+ 60
238
+ 00:04:51,450 --> 00:04:53,910
239
+ case there are two characteristics for each
240
+
241
+ 61
242
+ 00:04:53,910 --> 00:04:56,910
243
+ variable so there are two variables each one has
244
+
245
+ 62
246
+ 00:04:56,910 --> 00:05:00,890
247
+ two characteristics either male and female or use
248
+
249
+ 63
250
+ 00:05:00,890 --> 00:05:08,350
251
+ left or right handููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ 2 ู…ุฌู…ูˆุนุงุช ู„ูƒู„
252
+
253
+ 64
254
+ 00:05:08,350 --> 00:05:17,430
255
+ ู…ุฌู…ูˆุนุฉ ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
256
+
257
+ 65
258
+ 00:05:17,430 --> 00:05:20,330
259
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
260
+
261
+ 66
262
+ 00:05:20,330 --> 00:05:23,170
263
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
264
+
265
+ 67
266
+ 00:05:23,170 --> 00:05:23,510
267
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
268
+
269
+ 68
270
+ 00:05:23,510 --> 00:05:23,890
271
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
272
+
273
+ 69
274
+ 00:05:23,890 --> 00:05:28,510
275
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
276
+
277
+ 70
278
+ 00:05:28,510 --> 00:05:38,080
279
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2ูˆุงู„ู…ุซุงู„ ุงู„ู„ู‰ ุฃุนุทุงู†ู‰ ู‡ุฐุง ุงู„ูˆุถุน hand
280
+
281
+ 71
282
+ 00:05:38,080 --> 00:05:42,980
283
+ preference ุงู„ูŠุฏ ุงู„ู„ู‰ ูˆุงุญุฏ ุจูŠุณุชุฎุฏู…ู‡ุง ูˆุงู„ู…ูุถู„ุฉ ู„ู‡
284
+
285
+ 72
286
+ 00:05:42,980 --> 00:05:50,680
287
+ ูˆู‡ุง ุงู„ gender ูู…ุงูŠู„ ูˆู…ุงูŠู„ ูˆ left ูˆ right ู„ุฐู„ูƒ
288
+
289
+ 73
290
+ 00:05:50,680 --> 00:05:58,480
291
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู„ุฏูŠู†ุง ู…ุซุงู„ 300 ุฃุทูุงู„ ู‡ุฐุง ุงู„ู…ุซุงู„ ูŠุนุทูŠ ู‡ุฐุง
292
+
293
+ 74
294
+ 00:05:58,480 --> 00:06:06,940
295
+ ุงู„ูˆุถุน ู‡ู†ุงูƒ ุงุชุฎุงุฐูŠู†ุงู„ุฎูŠุงุฑ ุงู„ูŠุฏ ุฃูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ
296
+
297
+ 75
298
+ 00:06:06,940 --> 00:06:07,740
299
+ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ
300
+
301
+ 76
302
+ 00:06:07,740 --> 00:06:09,040
303
+ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
304
+
305
+ 77
306
+ 00:06:09,040 --> 00:06:09,560
307
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
308
+
309
+ 78
310
+ 00:06:09,560 --> 00:06:09,680
311
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
312
+
313
+ 79
314
+ 00:06:09,680 --> 00:06:13,680
315
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
316
+
317
+ 80
318
+ 00:06:13,680 --> 00:06:18,660
319
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
320
+
321
+ 81
322
+ 00:06:18,660 --> 00:06:25,340
323
+ ุงูˆ ูŠุณุฑ ุงูˆ
324
+
325
+ 82
326
+ 00:06:25,340 --> 00:06:30,280
327
+ ูŠุณ108 ู‡ูˆ ุนุฏุฏ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ููŠ ู‡ุฐุง ุงู„ูˆุตูุŒ ู„ุฐู„ูƒ
328
+
329
+ 83
330
+ 00:06:30,280 --> 00:06:33,500
331
+ ุนุฏุฏ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ู‡ูˆ 300ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ ุนุฏุฏ ุงู„ู…ุทุนู…
332
+
333
+ 84
334
+ 00:06:33,500 --> 00:06:39,820
335
+ ุงู„ู…ุฌุชู…ุนูŠ ุนุฏุฏ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ุฑูˆูŠุฉ ูˆู„ุฏูŠู†ุง ุฃูŠุถุง ุนุฏุฏ
336
+
337
+ 85
338
+ 00:06:39,820 --> 00:06:45,820
339
+ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ูƒูˆู„ูˆู…ุฉ ู‡ุฐุง ุงู„ุนุฑุถ ูŠุณู…ู‰ 2x2 ู„ุฃู† ู‡ู†ุงูƒ
340
+
341
+ 86
342
+ 00:06:45,820 --> 00:06:53,870
343
+ 2 ุฑูˆูŠุฉ ูˆ2 ูƒูˆู„ูˆู…ุฉ ุฃู†ุง ู„ุง ุฃุญุณุจ ุนุฏุฏ ุงู„ู…ุทุนู…ูˆุงุญุฏุฉ ุจู†ุตูˆู
344
+
345
+ 87
346
+ 00:06:53,870 --> 00:06:56,450
347
+ ูˆ ู„ุงุนุจ ุฏู‡ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ ุจูŠู†ุงุญุณุจ ุจุณ ุงู„
348
+
349
+ 88
350
+ 00:06:56,450 --> 00:06:59,650
351
+ characteristics ู„ุนู†ุฏูŠ ุงู„ male ูˆ female left ูˆ
352
+
353
+ 89
354
+ 00:06:59,650 --> 00:07:04,570
355
+ right ุจุงู„ุชุงู„ูŠ there are two rows ูˆ ุงุถุญูƒุชูŠู† ูˆ two
356
+
357
+ 90
358
+ 00:07:04,570 --> 00:07:08,770
359
+ columns ู†ุจุฏุฃ ุจุงู„ุฑูˆู ุงู„ุฃูˆู„ two rows and two columns
360
+
361
+ 91
362
+ 00:07:08,770 --> 00:07:12,130
363
+ so this table is called two by two so in this case
364
+
365
+ 92
366
+ 00:07:12,130 --> 00:07:17,690
367
+ sample size n is 300 among these 300 there are 120
368
+
369
+ 93
370
+ 00:07:17,690 --> 00:07:26,630
371
+ femalesูˆ ุจูŠู† ู‡ุฐุง ุงู„ุฑู‚ู… ูŠูˆุฌุฏ 12 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ
372
+
373
+ 94
374
+ 00:07:26,630 --> 00:07:31,690
375
+ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180
376
+
377
+ 95
378
+ 00:07:31,690 --> 00:07:36,350
379
+ ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
380
+
381
+ 96
382
+ 00:07:36,350 --> 00:07:36,430
383
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
384
+
385
+ 97
386
+ 00:07:36,430 --> 00:07:36,510
387
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
388
+
389
+ 98
390
+ 00:07:36,510 --> 00:07:41,530
391
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
392
+
393
+ 99
394
+ 00:07:41,530 --> 00:07:46,970
395
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180
396
+
397
+ 100
398
+ 00:07:46,970 --> 00:07:51,370
399
+ ุดุฎุต ูŠุชุญู„ู†ุฑู‰ ุงู„ุขู† ุงู„ู€ null ูˆ ุงู„ู€ alternate
400
+
401
+ 101
402
+ 00:07:51,370 --> 00:07:55,010
403
+ hypothesis ุงู„ุชูŠ ุชุญุฏุซู†ุง ุนู†ู‡ุง ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ ุงู„ู€
404
+
405
+ 102
406
+ 00:07:55,010 --> 00:08:00,830
407
+ null ู‡ูŠ ุงู„hypothesis ุจูŠ ูˆุงู† ูŠู‚ู„ ุจูŠ ุชูˆู† ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
408
+
409
+ 103
410
+ 00:08:00,830 --> 00:08:04,250
411
+ ู…ุฌู…ูˆุนุฉ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุฑ ูŠู‚ู„ ู„ู…ุฌู…ูˆุนุฉ
412
+
413
+ 104
414
+ 00:08:04,250 --> 00:08:08,050
415
+ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุฑ ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฅู†ุงุซ ุงู„ู„ูŠ
416
+
417
+ 105
418
+ 00:08:08,050 --> 00:08:10,090
419
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‡ ุจูŠุณุชุฎุฏู…ูˆุง ู†ุณุจุฉ ุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ
420
+
421
+ 106
422
+ 00:08:10,090 --> 00:08:15,270
423
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‡ู†ุญู† ู†ุฌุฑุจ ู‡ุฐู‡ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ุงู„ู†ุงู„ูŠุฉ
424
+
425
+ 107
426
+ 00:08:15,270 --> 00:08:17,830
427
+ ุถุฏ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ุงู„ุชุบูŠูŠุฑูŠุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู…ุชุณุงูˆู…ุฉ
428
+
429
+ 108
430
+ 00:08:17,830 --> 00:08:21,170
431
+ ุจูˆุงุณุทุฉ ุงุซู†ูŠู† ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ุงุชุฌุงุฑุงุช ุงู„ุงุซู†ูŠู† ู„ูŠุณุช
432
+
433
+ 109
434
+ 00:08:21,170 --> 00:08:22,210
435
+ ู…ุชุณุงูˆู…ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณ ู…ุชุณุงูˆู…ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
436
+
437
+ 110
438
+ 00:08:22,210 --> 00:08:28,650
439
+ ุจูˆุงุณุทุฉ ุงุซู†ูŠู† ุงู„ุงู† ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุฑุฑ ุฃู†
440
+
441
+ 111
442
+ 00:08:28,650 --> 00:08:32,610
443
+ ู†ุชูุฑุฌ ุฃูˆ ู„ุง ุชุชูุฑุฌ ุนู„ู‰ ู†ู‚ุทุฉ ุฃุฒุฑุน ุจุณุจุจ ู…ุตุงุฏู‚ุฉ ุฌุฏูŠุฏุฉ
444
+
445
+ 112
446
+ 00:08:32,610 --> 00:08:37,930
447
+ ุงุณู…ู‡ุง test chi-square ุงุฎุชุจุงุฑ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ู†ุณู…ูŠู‡ chi
448
+
449
+ 113
450
+ 00:08:37,930 --> 00:08:40,170
451
+ -square ู…ุตุงุฏู‚ุฉ chi-square ู…ุตุงุฏู‚ุฉ
452
+
453
+ 114
454
+ 00:08:44,440 --> 00:08:51,960
455
+ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฃุณุชุงุฐ equals f
456
+
457
+ 115
458
+ 00:08:51,960 --> 00:08:59,100
459
+ observed minus f expected squared then we have
460
+
461
+ 116
462
+ 00:08:59,100 --> 00:09:07,200
463
+ summation all cells now where fo it's called
464
+
465
+ 117
466
+ 00:09:07,200 --> 00:09:12,460
467
+ observed frequency in particular cell cell ู…ุนู†ุงู‡ุง
468
+
469
+ 118
470
+ 00:09:13,500 --> 00:09:16,820
471
+ ุฎู„ูŠุฉ ูˆุฎู„ูŠุฉ ู…ุนู†ุงู‡ุง ู‡ู†ุง ููŠ ุงู„ู€ table in this case
472
+
473
+ 119
474
+ 00:09:16,820 --> 00:09:22,060
475
+ there are four cells ู‡ุฏูˆู„ cell head cell ู…ูŠุฉ ูˆ
476
+
477
+ 120
478
+ 00:09:22,060 --> 00:09:25,920
479
+ ุชู…ุงู†ูŠู† cell ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠู† 24 cell one fifty six
480
+
481
+ 121
482
+ 00:09:25,920 --> 00:09:30,580
483
+ cell so there are four cells so in this case there
484
+
485
+ 122
486
+ 00:09:30,580 --> 00:09:35,680
487
+ are four cells now f o is called observed
488
+
489
+ 123
490
+ 00:09:35,680 --> 00:09:39,100
491
+ frequency
492
+
493
+ 124
494
+ 00:09:41,650 --> 00:09:44,890
495
+ observed ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู€ table ูŠุนู†ูŠ 12,
496
+
497
+ 125
498
+ 00:09:45,290 --> 00:09:50,470
499
+ 108, 24, 156 they are called observed frequencies
500
+
501
+ 126
502
+ 00:09:50,470 --> 00:09:56,350
503
+ is an observed ุงู„ู…ุนุชู†ูŠู‡ู… ููŠ ุงู„ table ุงู„ F E
504
+
505
+ 127
506
+ 00:09:56,350 --> 00:10:01,090
507
+ expected frequency
508
+
509
+ 128
510
+ 00:10:03,890 --> 00:10:06,810
511
+ ูˆ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุญุณูŠู† ุงู„ู€Expected Frequencies ู„ูƒู„
512
+
513
+ 129
514
+ 00:10:06,810 --> 00:10:10,750
515
+ ุฌู‡ุฉ ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุญุณุจ ุงู„ู€Expected Frequency ูƒูŠู
516
+
517
+ 130
518
+ 00:10:10,750 --> 00:10:16,790
519
+ ุณู†ุญุณุจู‡ุง ุณู†ุฑู‰ ุจุนุฏ ู‚ู„ูŠู„ ูุงู„ู€FO
520
+
521
+ 131
522
+ 00:10:16,790 --> 00:10:21,730
523
+ ูŠุณู…ู‰ ุจู€Observed Frequency ูˆFE ุจู€Expected Frequency
524
+
525
+ 132
526
+ 00:10:21,730 --> 00:10:27,190
527
+ ุฅุฐุง ูƒุงู†ุช ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุง ู†ุญุณุจ ุงู„ู€FE ุจุงูุชุฑุงุถ ุฃู†ู‡
528
+
529
+ 133
530
+ 00:10:27,190 --> 00:10:31,650
531
+ ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุงุงู„ุงู† ู‡ุฐุง ุงู„ุงุณู… ุงู„ุงุณู… ูƒุงูŠ ุณูƒูˆุงุฑ
532
+
533
+ 134
534
+ 00:10:31,650 --> 00:10:40,430
535
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ
536
+
537
+ 135
538
+ 00:10:40,430 --> 00:10:44,350
539
+ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ
540
+
541
+ 136
542
+ 00:10:44,350 --> 00:10:47,190
543
+ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ
544
+
545
+ 137
546
+ 00:10:47,190 --> 00:10:51,650
547
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
548
+
549
+ 138
550
+ 00:10:51,650 --> 00:10:57,730
551
+ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ
552
+
553
+ 139
554
+ 00:10:57,730 --> 00:10:58,050
555
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
556
+
557
+ 140
558
+ 00:10:58,050 --> 00:10:59,250
559
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠู‡ูŠ Sky
560
+
561
+ 141
562
+ 00:10:59,250 --> 00:11:02,690
563
+ -square distribution with one degree of freedom
564
+
565
+ 142
566
+ 00:11:02,690 --> 00:11:06,590
567
+ ุฅุฐุง ุฅู„ู‡ ุชูˆุฒูŠุน ู…ุฑุจุน ูƒุงูŠ ุจุฏุฑุฌุงุช ุญุฑูŠุฉ ุจุณุงูˆุฉ ูˆุงุญุฏ ููŠ
568
+
569
+ 143
570
+ 00:11:06,590 --> 00:11:11,010
571
+ assumption as we used in T-test and Z-test in this
572
+
573
+ 144
574
+ 00:11:11,010 --> 00:11:15,350
575
+ case each cell in the contingency table ูƒู„ cell ููŠ
576
+
577
+ 145
578
+ 00:11:15,350 --> 00:11:20,030
579
+ ุงู„ table has expected frequency of at least five
580
+
581
+ 146
582
+ 00:11:20,030 --> 00:11:23,810
583
+ ูŠุนู†ูŠ ู„ู…ุง ุจุญุณุจ expected frequency ู„ุงุฒู… ูŠูƒูˆู† ุนู„ู‰
584
+
585
+ 147
586
+ 00:11:23,810 --> 00:11:29,970
587
+ ุงู„ุฃู‚ู„ ุจุณุงูˆุฉ ุฎู…ุณุฉู‡ูŠ ุงู„ุดุฑุท ุชุจุนู†ุง ู‡ูˆ ุฏู‡ ุงู„ุดุฑุท is
588
+
589
+ 148
590
+ 00:11:29,970 --> 00:11:39,430
591
+ always for two by two now again the chi-square
592
+
593
+ 149
594
+ 00:11:39,430 --> 00:11:44,530
595
+ statistic test approximately follows chi-square
596
+
597
+ 150
598
+ 00:11:44,530 --> 00:11:47,610
599
+ distribution with one degree of freedom ู„ูˆ ุชุทู„ุน
600
+
601
+ 151
602
+ 00:11:47,610 --> 00:11:52,010
603
+ ุนู„ู‰ ุงู„ shape ุชุจุน ุงู„ chi-square is it symmetricุŸ ู‡ู„
604
+
605
+ 152
606
+ 00:11:52,010 --> 00:11:57,720
607
+ ู‡ูˆ ู…ุชู…ุซู„ุŸ ู„ุฃSkewed right ูˆู„ุง leftุŸ right ู„ุฃู† ุงู„
608
+
609
+ 153
610
+ 00:11:57,720 --> 00:12:02,380
611
+ right tail is longer than left tail ูˆ actually
612
+
613
+ 154
614
+ 00:12:02,380 --> 00:12:07,680
615
+ there is no left tail ุฏุงุฆู…ุง positive ุงูˆ non
616
+
617
+ 155
618
+ 00:12:07,680 --> 00:12:13,220
619
+ -negative ู…ุจุฏุฃ ู…ู† ุงู„ zero ูุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ุง right
620
+
621
+ 156
622
+ 00:12:13,220 --> 00:12:21,000
623
+ skewed ูˆ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ุง non-negative ุงุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
624
+
625
+ 157
626
+ 00:12:21,000 --> 00:12:21,260
627
+ ุณูƒูˆูŠุฑ
628
+
629
+ 158
630
+ 00:12:27,270 --> 00:12:36,650
631
+ ู‡ูŠ ุงู„ุฌุฏูˆู„ ุงู„ู„ูŠ
632
+
633
+ 159
634
+ 00:12:36,650 --> 00:12:40,510
635
+ ุนู†ุฏูƒ
636
+
637
+ 160
638
+ 00:12:40,510 --> 00:12:49,490
639
+ ููŠ ุงู„ุขุฎุฑ ุงู„ุฌุฏูˆู„ ููŠ ูƒุงูŠ ุณูƒูˆูŠุฑ ุงุนุชู‚ุฏ
640
+
641
+ 161
642
+ 00:12:49,490 --> 00:12:50,210
643
+ 282
644
+
645
+ 162
646
+ 00:13:08,200 --> 00:13:15,780
647
+ 287 ุฅุฐุง ุงู„ table ุงู„ู„ูŠ ุจุญูƒูŠ ุนู„ูŠู‡ on page 287
648
+
649
+ 163
650
+ 00:13:15,780 --> 00:13:22,600
651
+ 287 ุฅุฐุง ู‡ุฐุง ูƒุงูŠ ุณูƒูˆูŠุฑ table ุฒูŠ ุงู„ T ุจุงู„ุธุจุท ุงู„
652
+
653
+ 164
654
+ 00:13:22,600 --> 00:13:25,820
655
+ table ุดูƒู„ู‡ ุงู„ T ู„ูƒู† ุทุจุนุง ุงู„ T negative ูˆ positive
656
+
657
+ 165
658
+ 00:13:25,820 --> 00:13:31,550
659
+ ู‡ู†ุง ุจุณ positive ุงูŠู‡ ุนู†ุฏูŠ ุงู„ right tail is longerููŠ
660
+
661
+ 166
662
+ 00:13:31,550 --> 00:13:35,170
663
+ ุนู†ุฏ ุงู„ู€ rows represent degrees of freedom ุงู„ุตููˆู
664
+
665
+ 167
666
+ 00:13:35,170 --> 00:13:39,450
667
+ ุชู…ุซู„ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉ ูˆ ุงู„ columns represent the area
668
+
669
+ 168
670
+ 00:13:39,450 --> 00:13:44,490
671
+ to the right I mean Alpha ูููŠ
672
+
673
+ 169
674
+ 00:13:44,490 --> 00:13:49,390
675
+ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณู†ุณุชุฎุฏู… Df equal one ูุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
676
+
677
+ 170
678
+ 00:13:49,390 --> 00:13:54,290
679
+ ุฅุฐุง Alpha ู‡ูˆ 5% ุซู…
680
+
681
+ 171
682
+ 00:13:54,290 --> 00:13:58,090
683
+ K square Alpha ู‡ูˆ 3.84
684
+
685
+ 172
686
+ 00:14:02,330 --> 00:14:05,190
687
+ ู„ุฐู„ูƒ ูู‚ุท ุชุจุญุซ ุนู† ุนุฏุฏ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
688
+
689
+ 173
690
+ 00:14:05,190 --> 00:14:10,590
691
+ ูู‡ู†ุงูƒ ูˆุงุญุฏ ูู‚ุท ุงูŠุถุง ุชุจุญุซ ุนู† ุนุฏุฏ ุฃู„ู ุงุนู†ูŠ ุงู„ุนุฏุฏ
692
+
693
+ 174
694
+ 00:14:10,590 --> 00:14:18,130
695
+ ุงู„ูˆุงุญุฏ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู5% ู„ุฐู„ูƒ ูˆุงุญุฏ ุถุฏ 5 ู‡ูˆ 3.84
696
+
697
+ 175
698
+ 00:14:18,130 --> 00:14:22,630
699
+ ุทุฑูŠู‚ุฉ ุงุณุชุฎุฏุงู…ู‡ ุฒูŠ ุงู„ T ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ ุฒูŠูƒ
700
+
701
+ 176
702
+ 00:14:22,630 --> 00:14:31,010
703
+ ุจุงุณุชุฎุฏุงู… ูƒุงูŠ ุณูƒูˆุงุฑุช ุชุงุจูˆุฑ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
704
+
705
+ 177
706
+ 00:14:31,010 --> 00:14:35,950
707
+ ุณูƒูˆุงุฑุชูุงู„ุช ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต ู…ู†ู‡ุง ุซู… ู†ุชุฎู„ุต ู…ู†ู‡ุง
708
+
709
+ 178
710
+ 00:14:35,950 --> 00:14:43,650
711
+ ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู†ุชุญุฏุซ ุนู†ู‡ ุนุฏุฉ ู…ุฑุงุช ู…ุฑุฉ ุงุฎุฑู‰ ูƒุงูŠู†
712
+
713
+ 179
714
+ 00:14:43,650 --> 00:14:48,910
715
+ ุณูƒูˆุงุฑ ู…ุฑุชุจุท ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ูˆุฅุฐุง
716
+
717
+ 180
718
+ 00:14:48,910 --> 00:14:53,070
719
+ ู‚ูŠู…ุฉ ูƒุงูŠู† ุณูƒูˆุงุฑ ุงู„ุงู†ุชุฌุงุฑุงุช ุชุชุฎู„ุต ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต
720
+
721
+ 181
722
+ 00:14:53,070 --> 00:14:58,630
723
+ ู…ู†ู‡ุง ุซู… ู†ุชุฎู„ุต ู…ู†ู‡ุง ุฅู„ุง ุฅุฐุง ู„ู… ู†ุชุฎู„ุต ู…ู†ู‡ุง ุงู„ุขู†
724
+
725
+ 182
726
+ 00:14:58,630 --> 00:15:01,710
727
+ ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู†ุชุฌุงุฑ ูƒุงูŠู† ุณูƒูˆุงุฑ
728
+
729
+ 183
730
+ 00:15:04,870 --> 00:15:09,690
731
+ ุจุงุณุชุฎุฏุงู… ุงู„ู…ุฑุญู„ุงุช ุงู„ุชุงู„ูŠุฉ ู…ุฑุญู„ุฉ ุฃูˆู„ู‰ ูŠุฌุจ ุฃู† ู†ุฌุฏ
732
+
733
+ 184
734
+ 00:15:09,690 --> 00:15:14,670
735
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
736
+
737
+ 185
738
+ 00:15:14,670 --> 00:15:16,350
739
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
740
+
741
+ 186
742
+ 00:15:16,350 --> 00:15:16,450
743
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
744
+
745
+ 187
746
+ 00:15:16,450 --> 00:15:18,610
747
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
748
+
749
+ 188
750
+ 00:15:18,610 --> 00:15:19,970
751
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
752
+
753
+ 189
754
+ 00:15:19,970 --> 00:15:21,110
755
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
756
+
757
+ 190
758
+ 00:15:21,110 --> 00:15:23,830
759
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
760
+
761
+ 191
762
+ 00:15:23,830 --> 00:15:24,850
763
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
764
+
765
+ 192
766
+ 00:15:24,850 --> 00:15:29,630
767
+ ุงู„ุนุงู…ุฉ
768
+
769
+ 193
770
+ 00:15:29,630 --> 00:15:38,300
771
+ ุงู„ุนุงู…ู„ู„ุนุจุฉ ุงู„ู…ุญุฏุฏุฉุŒ ุฅุฐุง ูƒู†ุช ุชุนูˆุฏ ู„ู„ุนุจุฉ ุงู„ู…ุญุฏุฏุฉ X1
772
+
773
+ 194
774
+ 00:15:38,300 --> 00:15:51,080
775
+ ุฑู‚ู… ุงู„ูุชูŠุงุช ุงู„ู„ูŠ ู‡ู… ุนูŠูˆู†ูŠูŠู† 12 ุฑู‚ู… ุงู„ูุชูŠุงุช 24 ุนูƒุณ
776
+
777
+ 195
778
+ 00:15:51,080 --> 00:16:00,980
779
+ N1 ุฑู‚ู… ุงู„ูุชูŠุงุช ููŠ ุงู„ู…ุฌู„ุฉ 120 ูˆุฑู‚ู… ุงู„ูุชูŠุงุช 180ู‡ุฐุง
780
+
781
+ 196
782
+ 00:16:00,980 --> 00:16:04,800
783
+ ู‡ูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃูƒุชุฑุงุฑูŠุฉ ูŠุนู†ูŠ ุงู„ู†ุณุจุฉ ุจุดูƒู„ ุนุงู… ููŠ ูƒู„
784
+
785
+ 197
786
+ 00:16:04,800 --> 00:16:11,740
787
+ ุณุงู…ุจู„ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ุชุณุชูŠุจูŠู‡ุง ุจุทู„ุน 12%
788
+
789
+ 198
790
+ 00:16:11,740 --> 00:16:18,180
791
+ ู‡ุฏุงุด ู…ุนู†ุงู‡ุง .. ู…ุนู†ุงู‡ุง IE in other words based on
792
+
793
+ 199
794
+ 00:16:18,180 --> 00:16:24,320
795
+ all 300 children the proportion of left handers is
796
+
797
+ 200
798
+ 00:16:24,320 --> 00:16:31,470
799
+ 12% ุฅุฐุง ุจุดูƒู„ ุนุงู… ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ุจูŠุณูˆูŠุด12
800
+
801
+ 201
802
+ 00:16:31,470 --> 00:16:39,030
803
+ % ุทูŠุจ ู„ูˆ ูƒุงู† ุฏูˆู„ 12% ูˆุนู†ุฏูŠ
804
+
805
+ 202
806
+ 00:16:39,030 --> 00:16:43,590
807
+ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ุงู„ left hand 12 female ู…ุน ูƒุฏู‡ ุฅูŠุด
808
+
809
+ 203
810
+ 00:16:43,590 --> 00:16:49,010
811
+ ุจุชูˆู‚ุน ูŠูƒูˆู† ุนุฏุฏ ุงู„ female ุจูŠุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑุงุก ู‡ู… 12%
812
+
813
+ 204
814
+ 00:16:49,010 --> 00:16:56,450
815
+ ุจุดูƒู„ ุนุงู… ู„ูˆ ุญูƒูŠุช ู„ูˆ
816
+
817
+ 205
818
+ 00:16:56,450 --> 00:17:02,040
819
+ ุญูƒูŠุช 12% ุจูŠุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑุงุกุงู„ูŠู†ุงุช ุงุชู†ุงุด ุงุชู†ุงุด
820
+
821
+ 206
822
+ 00:17:02,040 --> 00:17:05,100
823
+ ุงุชู†ุงุด
824
+
825
+ 207
826
+ 00:17:05,100 --> 00:17:11,840
827
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
828
+
829
+ 208
830
+ 00:17:11,840 --> 00:17:14,860
831
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
832
+
833
+ 209
834
+ 00:17:14,860 --> 00:17:15,320
835
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
836
+
837
+ 210
838
+ 00:17:15,320 --> 00:17:17,240
839
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
840
+
841
+ 211
842
+ 00:17:17,240 --> 00:17:28,260
843
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
844
+
845
+ 212
846
+ 00:17:31,180 --> 00:17:37,820
847
+ ุฃู†ุง ูƒุงู† ุทุงู„ุจ ุงู„ู†ุฌุงุญุงุช 40% ููŠ ุงู„ุฎู…ุณูŠู† ู…ุด ู‡ูŠูƒ ู‡ุฐู‡ ุงู„
848
+
849
+ 213
850
+ 00:17:37,820 --> 00:17:41,620
851
+ 12 ู‡ุฏูˆู„ ุจุฒูŠุฑ ู„ุงู† ู„ูŠุด ุนู„ุงู‚ุฉ ุงูŠู‡ ุจู‡ู… ู‡ุฐู‡ ุงู„ 12%
852
+
853
+ 214
854
+ 00:17:41,620 --> 00:17:48,660
855
+ overall ู‡ุฐู‡ ู„ูƒู„ ุงู„ sample ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ู„ูŠ ..
856
+
857
+ 215
858
+ 00:17:48,660 --> 00:17:52,420
859
+ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู†ุชูˆุง I males ูˆ females ุฏู…ุฌู†ุงู‡ู… ู…ุน ุจุนุถ
860
+
861
+ 216
862
+ 00:17:52,420 --> 00:17:57,820
863
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑ 12% ุงู„ females ุนุฏุฏู‡ู… 120 ู…ุน ูƒุฏู‡
864
+
865
+ 217
866
+ 00:17:57,820 --> 00:18:01,920
867
+ ุฌุฏูŠุด ู†ุณุจุฉ ุงู„ females ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰ุจุชูˆู‚ุน
868
+
869
+ 218
870
+ 00:18:01,920 --> 00:18:08,040
871
+ ุนุฏุฏู‡ู… ู‡ูŠ ุงู„ number of females 120ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ุฅูŠุด
872
+
873
+ 219
874
+ 00:18:08,040 --> 00:18:13,260
875
+ ุจุชูˆู‚ุน ูŠูƒูˆู† ุนุฏุฏู‡ู…ุŸ ุงู„ 120 ููŠ 12%ุŒ ู…ุด ู‡ูŠูƒุŸ ุฅูŠุด
876
+
877
+ 220
878
+ 00:18:13,260 --> 00:18:22,620
879
+ ุจุชุณุงูˆูŠุŸ 14.4 ุทูŠุจ ุจุงู„ู†ุณุจุฉ ู„ู€ males ุฅูŠุด ุนุฏุฏู‡ู…ุŸ 180
880
+
881
+ 221
882
+ 00:18:22,620 --> 00:18:27,300
883
+ ุฅูŠุด ุจุชูˆู‚ุน ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูŠ ู‡ุฐู‡ ุงู„ูŠุณุฑุงุกุŸ ุงู„ 180 ููŠ 12%ุŒ
884
+
885
+ 222
886
+ 00:18:27,300 --> 00:18:30,760
887
+ ู…ุด ู‡ูŠูƒุŸ ุจูŠุทู„ุน 21.6
888
+
889
+ 223
890
+ 00:18:33,510 --> 00:18:38,030
891
+ ุฅุฐุง ู‡ุงูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ู€ expected frequency ุจุชุทู„ุน ุงู„
892
+
893
+ 224
894
+ 00:18:38,030 --> 00:18:42,850
895
+ overall proportion ูˆุจุถุฑุจู‡ุง ููŠ number of males ุฃูˆ
896
+
897
+ 225
898
+ 00:18:42,850 --> 00:18:49,130
899
+ ุงู„ raw total ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุงู„ุงู†
900
+
901
+ 226
902
+ 00:18:49,130 --> 00:19:00,710
903
+ ุงู„ 12 108 24 156 ู‡ุฏูˆู„ ุฅูŠุด ุณู…ู†ุงู‡ู… observed ุทุจ ุงู„
904
+
905
+ 227
906
+ 00:19:00,710 --> 00:19:02,510
907
+ expected ุทู„ุนู†ุง ู‡ุฐู‡ ุจุชุณุงูˆูŠ
908
+
909
+ 228
910
+ 00:19:05,100 --> 00:19:11,480
911
+ 14.4 ู…ุด ู‡ูŠูƒ ู‡ุฐูˆู„ ุงู†ุง ู…ุชูˆู‚ุน ูŠูƒูˆู†ูˆุง ู…ุงู„ู‡ู… ุจูŠุณุชุฎุฏู…ูˆุง
912
+
913
+ 229
914
+ 00:19:11,480 --> 00:19:18,260
915
+ ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ู…ู† ุงู„ female ูˆู‡ู†ุง ุทู„ุนูˆุง 21.6 ู…ุด ู‡ูŠูƒ
916
+
917
+ 230
918
+ 00:19:18,260 --> 00:19:22,220
919
+ ุงู„ู„ูŠ ุงู†ุง ุงุชูˆู‚ุนุชู‡ ุงู„ left ุทุจ ูˆ ุงู„ right ุงูŠุด ู‡ูŠูƒูˆู†
920
+
921
+ 231
922
+ 00:19:22,220 --> 00:19:30,140
923
+ ุงู„ู…ูƒุงู…ู„ุฉ ู„ู‡ุฐู‡ ู…ุธุจูˆุท ุงูˆ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ 12% overall
924
+
925
+ 232
926
+ 00:19:30,140 --> 00:19:35,180
927
+ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ูŠุณุฑู‰ ุงูŠุด ุจุชุงู…ู„ ุงู„ูŠู…ู†ู‰ 88ุฎู„ุงุต ุฃุถุฑุจ ุงู„ู€
928
+
929
+ 233
930
+ 00:19:35,180 --> 00:19:42,980
931
+ 88 ููŠ ุงู„ู€ 120 ุจูŠุนุทูŠูƒ 105 ุฃูˆ ุฃุทุฑุญ 120 ู†ู‚ุต 114.4 ุฅุฐุง
932
+
933
+ 234
934
+ 00:19:42,980 --> 00:19:51,760
935
+ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุทู„ุน ู…ู† ูˆูŠู†ุŸ 120 minus 14.4 ุทูŠุจ ุงู„ู„ูŠ
936
+
937
+ 235
938
+ 00:19:51,760 --> 00:19:56,700
939
+ ุจุนุฏู‡ุŸ ุทู„ุน 21.6 expected frequency ู„ู„ู…ูŠุฉ ุงู„ู„ูŠ
940
+
941
+ 236
942
+ 00:19:56,700 --> 00:20:00,400
943
+ ุจุชุณุชุฎุฏู… ุงู„ู€ left ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ุงู„ rightุงู„ุจุงู‚ูŠ ู…ุด
944
+
945
+ 237
946
+ 00:20:00,400 --> 00:20:03,440
947
+ ู‡ูŠูƒ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ุญูƒูŠุช ุชู„ุงุชูŠู† ู†ุฌุญูˆุง ู…ู†ูƒ ูˆุนุฏุฏูƒูˆุง
948
+
949
+ 238
950
+ 00:20:03,440 --> 00:20:08,920
951
+ ุฎู…ุณูŠู†ุŒ ุฅูŠุด ุจุชุจู‚ู‰ ู…ุด ู†ุงุฌุญุŸ ุนุดุฑูŠู† ุงู„ tackle ุชุจุนุชู‡ู…ุŒ
952
+
953
+ 239
954
+ 00:20:08,920 --> 00:20:14,320
955
+ ูู‚ุงู„ 180 minus 21.6 ุจูŠุญุทูŠู†ูŠ 158 ู‡ุฏูˆู„ ุงู„ู„ูŠ ุฃู†ุง
956
+
957
+ 240
958
+ 00:20:14,320 --> 00:20:19,700
959
+ ู…ุนู„ู…ู‡ู… ุจุงู„ุฃุณูˆุฏ ู†ุณู…ูŠู‡ู… expected frequency ุฅุฐุง ููŠ
960
+
961
+ 241
962
+ 00:20:19,700 --> 00:20:26,220
963
+ ุนู†ุฏูŠ observed ูˆููŠ expected ูƒู„ ุญุนู…ู„ู‡ ู‡ุญุณุจ ุงู„ chi
964
+
965
+ 242
966
+ 00:20:26,220 --> 00:20:26,900
967
+ -square value
968
+
969
+ 243
970
+ 00:20:34,080 --> 00:20:37,440
971
+ ู„ุญุธุฉ summation ู„ู€ all cells ุจุงุฎุฏ ูƒู„ cell ู…ู† ุงู„
972
+
973
+ 244
974
+ 00:20:37,440 --> 00:20:45,180
975
+ table ูุงู„ chi-square ุงู„ stat ู‡ุชุณุงูˆูŠ ุฃูˆู„
976
+
977
+ 245
978
+ 00:20:45,180 --> 00:20:51,760
979
+ ูˆุงุญุฏุฉ 12 ู‡ุฐุง ุงู„ observe ู…ุด ู‡ูŠูƒ ุงูŠุด ุงู„ expected ู„ู‡ุง
980
+
981
+ 246
982
+ 00:20:51,760 --> 00:20:59,060
983
+ 14.4 squared ุนู„ู‰
984
+
985
+ 247
986
+ 00:20:59,060 --> 00:21:05,050
987
+ ู†ูุณ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ first cell second cellู…ุงุฐุง
988
+
989
+ 248
990
+ 00:21:05,050 --> 00:21:11,030
991
+ ูŠุชุณุงูˆูŠ 108 105ยฒ
992
+
993
+ 249
994
+ 00:21:11,030 --> 00:21:15,370
995
+ ุนู„ู‰
996
+
997
+ 250
998
+ 00:21:15,370 --> 00:21:21,750
999
+ 105 ุฒูŠ ู…ุง ุนู…ู„ุช ุงู„ second cell ุจุนู…ู„ ู„ู…ู†ุŸ ู„ู„ุจุงู‚ุฏุฉ 24
1000
+
1001
+ 251
1002
+ 00:21:21,750 --> 00:21:25,710
1003
+ -21
1004
+
1005
+ 252
1006
+ 00:21:25,710 --> 00:21:31,270
1007
+ plus
1008
+
1009
+ 253
1010
+ 00:21:31,270 --> 00:21:33,130
1011
+ the last one 156
1012
+
1013
+ 254
1014
+ 00:21:41,160 --> 00:21:47,380
1015
+ -158 ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุญุณุจ ุงู„ over all proportion X1 plus
1016
+
1017
+ 255
1018
+ 00:21:47,380 --> 00:21:52,240
1019
+ X2 ุนู„ู‰ N1 plus N2 ุฃู†ุง ู…ู‡ุชู… ุจุงู„ left handed ุจุงู„ุชุงู„ุฉ
1020
+
1021
+ 256
1022
+ 00:21:52,240 --> 00:21:58,440
1023
+ 12 plus 24 ู‡ุฐูˆ ุงู„ู…ุฌู…ูˆุน ุงู„ู„ูŠ ุจุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑู‰ ููŠ ูƒู„
1024
+
1025
+ 257
1026
+ 00:21:58,440 --> 00:22:01,480
1027
+ ุงู„ sample divide by ุงู„ total ุชุจุน ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ
1028
+
1029
+ 258
1030
+ 00:22:01,480 --> 00:22:10,370
1031
+ 300 ุทู„ุน 12%ุจูŠุทู„ุน ู†ุณุจุฉ ุงู„ุงู†ุงุซ ูˆุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…
1032
+
1033
+ 259
1034
+ 00:22:10,370 --> 00:22:14,770
1035
+ ุงู„ูŠุฏ ูŠูˆุตู„ ู„ 12% ุทุจ ู…ุด ุจุชูˆู‚ุน ูŠูƒูˆู† left ููŠ ุงู„ fifth
1036
+
1037
+ 260
1038
+ 00:22:14,770 --> 00:22:21,590
1039
+ male ู‡ู… 120 ุนุฏุฏู‡ู… 120ุŒ ู…ุด ู‡ูŠูƒ ุงู„ุนุงู… 12% ู…ู† ุงู„ 120
1040
+
1041
+ 261
1042
+ 00:22:21,590 --> 00:22:28,150
1043
+ ุจูŠุทู„ุน 14.4% ูˆู„ู„ู…ูŠู„ ู†ูุณ ุงู„ุฌุซุฉ 180 ููŠ ุงู„ 12 ุจูŠุทู„ุน 21
1044
+
1045
+ 262
1046
+ 00:22:28,150 --> 00:22:32,910
1047
+ .6% ูˆุทู„ุนู†ุง ุงู„ complement ุทู„ุนุช ู„ู„ right handers
1048
+
1049
+ 263
1050
+ 00:22:34,520 --> 00:22:37,620
1051
+ ุจุนุฏูŠู† ุงุชุทุจู‚ุช ุงู„ู‚ุงู†ูˆู† ุนู†ุฏูƒ if observed minus if
1052
+
1053
+ 264
1054
+ 00:22:37,620 --> 00:22:43,140
1055
+ expected squared ุน ุงู„ if expected ุจุฌู…ุน ู‡ุฏูˆู„ ุงู„ุฌูˆุงุจ
1056
+
1057
+ 265
1058
+ 00:22:43,140 --> 00:22:52,580
1059
+ ุจุทู„ุน point seven five seven six ู‡ุงุฏ ุงู„ value of
1060
+
1061
+ 266
1062
+ 00:22:52,580 --> 00:22:58,740
1063
+ the chi-square statistic ุงู„ critical value ุทู„ุนู†ุงู‡ุง
1064
+
1065
+ 267
1066
+ 00:22:58,740 --> 00:23:03,020
1067
+ ู…ู† ุดูˆูŠุฉ ู„ูˆ alpha five percent one degrees of
1068
+
1069
+ 268
1070
+ 00:23:03,020 --> 00:23:10,970
1071
+ freedom3.84% ูƒู…ุฌู„ุฏ ุนุงู… ู†ู‚ู„ ุงู„ุญุจูˆุชุณูŠุฒ ุงู„ู†ุงู„ูŠุฉ ุฅุฐุง
1072
+
1073
+ 269
1074
+ 00:23:10,970 --> 00:23:17,450
1075
+ ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุฃูƒุชุฑ ู…ู† 3.84% ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
1076
+
1077
+ 270
1078
+ 00:23:17,450 --> 00:23:23,690
1079
+ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉุŸ ู‡ุฐู‡
1080
+
1081
+ 271
1082
+ 00:23:23,690 --> 00:23:29,920
1083
+ ุงู„ู‚ูŠู…ุฉ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉูˆู‡ู†ุง ูƒุงูŠ ุณูƒูˆูŠุฑ
1084
+
1085
+ 272
1086
+ 00:23:29,920 --> 00:23:35,680
1087
+ ุงู„ุณุชุงุชูŠุณุชูŠูƒ 0.7576 ุฃู‚ู„ ู…ู† ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ุฃู„ูุฉุŒ ู„ุฐุง
1088
+
1089
+ 273
1090
+ 00:23:35,680 --> 00:23:40,100
1091
+ ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชู‚ูุฒ ุนู† ุงู„ู‡ูŠุจูˆุชุณูŠุฒุŒ ุจุฑูุถ ุงู„ุณูุฑูŠุฉ
1092
+
1093
+ 274
1094
+ 00:23:40,100 --> 00:23:46,340
1095
+ ุงู„ุตูุฑูŠุฉ. ุฅูŠุด ุงู„ conclusionุŸ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฃู†
1096
+
1097
+ 275
1098
+ 00:23:46,340 --> 00:23:51,480
1099
+ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฎุชู„ูุฉุŒ ู…ุงุนูƒุฏุง
1100
+
1101
+ 276
1102
+ 00:23:51,480 --> 00:23:56,170
1103
+ ู…ุนุงู‡ู… ุจูŠุณูˆุง ุจุนุถู…ุน ูƒุฏู‡ ู…ุงููŠุด significant difference
1104
+
1105
+ 277
1106
+ 00:23:56,170 --> 00:24:03,110
1107
+ between males and females who used left hand ู‡ุฐุง
1108
+
1109
+ 278
1110
+ 00:24:03,110 --> 00:24:06,970
1111
+ ุงู„ุณุคุงู„ ู…ู…ูƒู† ู†ุญู„ู‡ ุนู„ู‰ ุดุจุทุฉ ุงู„ุนุดุฑุฉ ูˆ ู‡ูŠุนุทูŠูƒ ุงู„ same
1112
+
1113
+ 279
1114
+ 00:24:06,970 --> 00:24:12,570
1115
+ result ููŠ
1116
+
1117
+ 280
1118
+ 00:24:12,570 --> 00:24:15,790
1119
+ ุฃูŠ ุณุคุงู„ุŸ
1120
+
1121
+ 281
1122
+ 00:24:15,790 --> 00:24:22,370
1123
+ ุทูŠุจ ู†ูุชุญ ุงู„ practice ุนู„ู‰ ุดุจุทุฉ
1124
+
1125
+ 282
1126
+ 00:24:26,660 --> 00:24:41,320
1127
+ ุดุจุท ุงู„ 11 ุดูˆูŠู‡ ุดูˆูŠุฉ ู…ุณุงุก ุทู„ุน
1128
+
1129
+ 283
1130
+ 00:24:41,320 --> 00:24:42,360
1131
+ ุนู„ู‰ 11 9
1132
+
1133
+ 284
1134
+ 00:25:12,230 --> 00:25:13,990
1135
+ ุงู„ุชูŠุงุจุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง
1136
+
1137
+ 285
1138
+ 00:25:27,680 --> 00:25:38,360
1139
+ ูู‰ ุนู†ุฏู‰ 41 61 109 89 ูˆุทุงู„ุจ
1140
+
1141
+ 286
1142
+ 00:25:38,360 --> 00:25:46,680
1143
+ ุงู„ test ูƒูŠู‡ ุจุญุณุจ ุงู„ test ุนุดุงู† ุฃูˆู„ ุฎุทุจุฉ ุฃุนู…ู„ู‡ุง ุฃุทู„ุน
1144
+
1145
+ 287
1146
+ 00:25:46,680 --> 00:25:52,160
1147
+ ุงู„ B- ุงู†ุง ุจุญุงูˆู„ ุจุณ ุฃุนูŠุฏ ู†ูุณ ุงู„ example ุงู„ู„ู‰ ูุงุช
1148
+
1149
+ 288
1150
+ 00:25:52,160 --> 00:25:57,360
1151
+ ุงุชุฃูƒุฏ ุฃู† ุงู„ Sips ู…ุนุฑูˆูุฉ ุจุงู„ู†ุณุจุฉ ู„ู†ุงุจุทู„ุน ุงู„ู€
1152
+
1153
+ 289
1154
+ 00:25:57,360 --> 00:26:07,060
1155
+ overall proportion ุงู„ู„ูŠ 41 plus 109 ู„ูˆ ุชู‚ุฑุฃ ุงู„ุณุคุงู„
1156
+
1157
+ 290
1158
+ 00:26:07,060 --> 00:26:09,140
1159
+ ู…ู† ุงู„ุฃูˆู„ุŒ ุฃู†ุง ู…ุงุชุฏุด ุฃุถุงูŠู‚ ูˆู‚ุช ููŠ ู‚ุฑุงุกุฉ ุงู„ุณุคุงู„ ู„ุฅู†
1160
+
1161
+ 291
1162
+ 00:26:09,140 --> 00:26:12,920
1163
+ ุฃู†ุง ุจุณ ุชุงุฎุฏ ุงู„ example ู†ุนุฑู ูƒูŠู ู†ุญู„
1164
+
1165
+ 292
1166
+ 00:26:26,790 --> 00:26:29,410
1167
+ ุฅุฐุง ู†ูุชุฑุถ ู‡ุงูŠ ุงู„ exam ุงู„ู„ูŠ ุนู†ุฏูŠ ู…ูˆุฌูˆุฏุŒ ุญุฏ ูŠู‚ุฑุฃ
1168
+
1169
+ 293
1170
+ 00:26:29,410 --> 00:26:36,530
1171
+ ู„ูŠู‡ุŸ ุญุฏ ูŠู‚ุฑุฃ ู„ูŠู‡ ุงู„ู…ุซุงู„ ๏ฟฝ๏ฟฝู„ู„ูŠ ู…ูˆุฌูˆุฏุŸ
1172
+
1173
+ 294
1174
+ 00:26:36,530 --> 00:26:37,150
1175
+ advertisement
1176
+
1177
+ 295
1178
+ 00:26:47,340 --> 00:26:53,940
1179
+ ุงู„ุฏุฑุงุณุฉ ุชู… ุชุฌุฑูŠุจู‡ุง ู„ุชุชุนุงู…ู„ ู…ุน ุฅุฐุง ูƒุงู†ุช ุงู„ูˆุงุถุญุฉ ุฃู†
1180
+
1181
+ 296
1182
+ 00:26:53,940 --> 00:27:00,640
1183
+ ุงู„ู…ุดุงู‡ุฏูŠู† ูˆุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ูƒุงู†ูˆุง
1184
+
1185
+ 297
1186
+ 00:27:00,640 --> 00:27:05,600
1187
+ ู…ุญุฏูˆุฏูŠู† ูˆูƒุงู†ุช ูƒู„ู‡ุง ู…ุฌู…ูˆุนุฉ ู…ู† 300 ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1188
+
1189
+ 298
1190
+ 00:27:05,600 --> 00:27:09,120
1191
+ ูˆุงู„ู…ุดุงู‡ุฏูŠู†
1192
+
1193
+ 299
1194
+ 00:27:09,120 --> 00:27:09,420
1195
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1196
+
1197
+ 300
1198
+ 00:27:09,420 --> 00:27:13,600
1199
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1200
+
1201
+ 301
1202
+ 00:27:13,600 --> 00:27:15,740
1203
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1204
+
1205
+ 302
1206
+ 00:27:15,740 --> 00:27:15,760
1207
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1208
+
1209
+ 303
1210
+ 00:27:15,760 --> 00:27:17,160
1211
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุงู„ู†ุณุจุฉ ู„ู„ุฅู†ุณุงู†
1212
+
1213
+ 304
1214
+ 00:27:17,160 --> 00:27:24,440
1215
+ ุงู„ุฎุงุต ุจูƒ ูˆู…ุง ุฅุฐุง ู„ู… ุชูƒู† ู…ุณุชุฎุฏู…ู‹ุง ู„ุฅูŠู‚ุงู ุงู„ูˆุตูˆู„ ุฅู„ู‰
1216
+
1217
+ 305
1218
+ 00:27:24,440 --> 00:27:24,940
1219
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1220
+
1221
+ 306
1222
+ 00:27:24,940 --> 00:27:25,240
1223
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1224
+
1225
+ 307
1226
+ 00:27:25,240 --> 00:27:27,580
1227
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1228
+
1229
+ 308
1230
+ 00:27:27,580 --> 00:27:27,860
1231
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1232
+
1233
+ 309
1234
+ 00:27:27,860 --> 00:27:29,380
1235
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1236
+
1237
+ 310
1238
+ 00:27:29,380 --> 00:27:31,460
1239
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1240
+
1241
+ 311
1242
+ 00:27:31,460 --> 00:27:33,220
1243
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1244
+
1245
+ 312
1246
+ 00:27:33,220 --> 00:27:41,900
1247
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุต
1248
+
1249
+ 313
1250
+ 00:27:45,380 --> 00:27:48,300
1251
+ ูˆุจุญูƒูŠ how can we calculate the test statistic ูƒูŠู
1252
+
1253
+ 314
1254
+ 00:27:48,300 --> 00:27:53,020
1255
+ ุชุญุณุจ ุงู„ test statistic ู‡ูˆ ุจูŠุญูƒูŠ ููŠ ุงู„ุณุคุงู„ ุงู†ู‡ู…
1256
+
1257
+ 315
1258
+ 00:27:53,020 --> 00:27:58,540
1259
+ independent ูˆู„ุง ู„ุง ุงู…ุง ุจุญูƒูŠ ููŠ ุงู„ H0 ุงู„ two
1260
+
1261
+ 316
1262
+ 00:27:58,540 --> 00:28:04,380
1263
+ variables are
1264
+
1265
+ 317
1266
+ 00:28:04,380 --> 00:28:08,960
1267
+ independent ุงูˆ
1268
+
1269
+ 318
1270
+ 00:28:08,960 --> 00:28:14,000
1271
+ ุจุญูƒูŠ ุงู„ proportions are the same ุงุฐุง ููŠ ุนู†ุฏ ุงู„ู…ูŠู„
1272
+
1273
+ 319
1274
+ 00:28:14,650 --> 00:28:18,170
1275
+ while female either identify or couldn't identify
1276
+
1277
+ 320
1278
+ 00:28:18,170 --> 00:28:29,850
1279
+ ูุงู„ู€ B ุฏูŠ in general ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ X1 plus ุฅูŠุด
1280
+
1281
+ 321
1282
+ 00:28:29,850 --> 00:28:33,330
1283
+ ุฑุฃูŠูƒูˆุงุŸ plus one ูˆู„ุง one oh nine ูˆู„ุง plus sixty
1284
+
1285
+ 322
1286
+ 00:28:33,330 --> 00:28:44,510
1287
+ oneุŸ ุฅูŠุด ุฑุฃูŠูƒูˆุงุŸ ูŠุนู†ูŠ ุนู…ู„ู‡ุง plus sixty oneูุจุชุทู„ุน
1288
+
1289
+ 323
1290
+ 00:28:44,510 --> 00:28:50,170
1291
+ ุงู„ุณุคุงู„ ุฅูŠุด ุญูƒู‰ุŸ The term whether brand awareness
1292
+
1293
+ 324
1294
+ 00:28:50,170 --> 00:28:56,890
1295
+ of female TV viewers and gender ูˆุจุชุดูˆู ุนู„ุงู‚ุชู‡ุง ุฏู‡
1296
+
1297
+ 325
1298
+ 00:28:56,890 --> 00:29:05,970
1299
+ ู…ุน ุญุฏู‡ุง ูˆู‚ุงู„ุช 41 plus 109 ุนู„ู‰ N1 plus N2 ูˆุฅูŠุด
1300
+
1301
+ 326
1302
+ 00:29:05,970 --> 00:29:14,050
1303
+ ู…ุฌู…ูˆุน ุงู„ identifiers ู‡ู†ุง 102 ูˆุงู„ู„ูŠ ุชุญุช192 ู…ุฌู…ูˆุนุฉ
1304
+
1305
+ 327
1306
+ 00:29:14,050 --> 00:29:21,250
1307
+ ู…ุงุฌุฏุฏุงุด 300 ู…ุด ู…ุงุทู„ุนูˆุง ู‡ูŠูƒ 150
1308
+
1309
+ 328
1310
+ 00:29:21,250 --> 00:29:27,590
1311
+ ุนู„ู‰ 300 ุนู„ู‰ ู†ุต ุงุฏูˆู„
1312
+
1313
+ 329
1314
+ 00:29:27,590 --> 00:29:34,350
1315
+ F observed ุงู„ expected ู‡ู†ุง 102 ู†ุตู‡ู… identifier
1316
+
1317
+ 330
1318
+ 00:29:34,350 --> 00:29:38,570
1319
+ ู…ุธุจูˆุท ู…ู† ุงู„ู…ูŠู„ ู†ุต ู‡ุฏูˆู„ ู…ุงุฌุฏุฏุงุด
1320
+
1321
+ 331
1322
+ 00:29:41,780 --> 00:29:47,900
1323
+ ุงู„ู†ุต ุงู„ู€ 102 ู…ุดุงูƒู„ุฉ ู…ู†ู‡ุง 50% ููŠ ุนุฏุฏ ุงู„ุงู†ุฏูุงูŠุฑ 102
1324
+
1325
+ 332
1326
+ 00:29:47,900 --> 00:29:53,560
1327
+ ูˆุทู„ุน 51ุŒ ูˆุงู„ู„ูŠ ู‡ู†ุง ุฅูŠุด ู‡ูŠูƒู… ุจุฑุถู‡ุŸ 51ุŒ ุทูŠุจ ุงู„ู„ูŠ
1328
+
1329
+ 333
1330
+ 00:29:53,560 --> 00:30:01,640
1331
+ ุจุนุฏู‡ุŸ ุงู„ู†ุต ุงู„ู€ 192 96ุŒ
1332
+
1333
+ 334
1334
+ 00:30:01,640 --> 00:30:09,780
1335
+ ุฅูŠุด ุจุชุงู… ู…ุชูˆู‚ุน ู„ู‡ู…ุŸ 96ุŒ ู‡ูŠ ุทู„ุนุช ู†ุตุŒ ูุงู„ู†ุต ุณู‡ู„ุฉ ุทูŠุจ
1336
+
1337
+ 335
1338
+ 00:30:09,780 --> 00:30:21,470
1339
+ ุงุญุณุจ ุงู„ KSQR ุงู„ statisticู…ุงุฐุง ุณุชุญุตู„ุŸ 41-51ยฒ ุนู„ู‰ 51
1340
+
1341
+ 336
1342
+ 00:30:21,470 --> 00:30:29,490
1343
+ plus 61-51ยฒ ุจูƒู…ู„ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
1344
+
1345
+ 337
1346
+ 00:30:46,200 --> 00:30:50,720
1347
+ ู…ุฌู…ูˆุน ู…ูŠู† ู„ุบู„ุทุŸ
1348
+
1349
+ 338
1350
+ 00:30:50,720 --> 00:30:57,120
1351
+ ุงู‡ ู‡ุฏูˆู„ ุงู†ุง
1352
+
1353
+ 339
1354
+ 00:30:57,120 --> 00:31:02,480
1355
+ ู„ุฃุฎุจุท ููŠ ู‡ุฏูˆู„ ุตุญุŸ ู‡ุฏูˆู„ ู„ู‚ุงุด ู…ุฌู…ูˆุญู‡ู… 108 ู†ูุณุงู† ุงู†ุง
1356
+
1357
+ 340
1358
+ 00:31:02,480 --> 00:31:12,470
1359
+ ุงุตู„ุง 108 ู†ูุณุงู†ู†ูุณู‡ ู…ู‚ุฏุงุด 99 ุฅุฐุง
1360
+
1361
+ 341
1362
+ 00:31:12,470 --> 00:31:19,230
1363
+ ุจุตูŠุฑ 109-99 89
1364
+
1365
+ 342
1366
+ 00:31:19,230 --> 00:31:27,770
1367
+ -99 ุชุนู…ู„
1368
+
1369
+ 343
1370
+ 00:31:27,770 --> 00:31:33,540
1371
+ ุฅูŠู‡ ู„ูƒู„ ุณู„ ู‡ูˆ ุชุทู„ุน ุงู„ุฌูˆุงุจุฅูŠุด ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ
1372
+
1373
+ 344
1374
+ 00:31:33,540 --> 00:31:39,000
1375
+ ู…ูˆุฌูˆุฏุŸ ุจุชุญุณุจูŠู‡ุง ููŠ ุงู„ุจูŠุช ุจุฑุงุญุชูƒ ุทุงู„ุน ุงู„ุฌูˆุงุจ ุณุคุงู„
1376
+
1377
+ 345
1378
+ 00:31:39,000 --> 00:31:44,380
1379
+ 119 ุฑู‚ู… 2 ุงูŠู‡ุŸ
1380
+
1381
+ 346
1382
+ 00:31:44,380 --> 00:31:52,660
1383
+ ุงุชุฃูƒุฏ ุงู† ุงู„ุฌูˆุงุจ ุงูŠู‡ุŸ ุฅุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุญุณุจ ุงู„ B' 41
1384
+
1385
+ 347
1386
+ 00:31:52,660 --> 00:32:02,540
1387
+ plus 109 divide by 300 ุจุทู„ุน 150 ุนู„ู‰ 32 ุจุทู„ุน ู†ุตุงู„ู†ุต
1388
+
1389
+ 348
1390
+ 00:32:02,540 --> 00:32:08,020
1391
+ ู‡ุฐู‡ ุจุถุฑูˆู 102 ุจุทู„ุน 51 ูˆ ู‡ู†ุง ุจุทู„ุน 99 ุจุนุฏูŠู† ุงุนู…ู„ุช
1392
+
1393
+ 349
1394
+ 00:32:08,020 --> 00:32:13,360
1395
+ ู„ูƒู„ cell ู‡ุฐุง ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ุณุคุงู„ 11 9 ุงู„ุชุจู† ุงู„ุจุนุฏ ู‡ูˆ
1396
+
1397
+ 350
1398
+ 00:32:13,360 --> 00:32:19,120
1399
+ 11 11 ู„ุญุธุฉ ู‡ุฐุง three by three ู…ุธุจูˆุท ู‡ุฐุง three rows
1400
+
1401
+ 351
1402
+ 00:32:19,120 --> 00:32:24,900
1403
+ ูˆ three column ู‡ุฐุง ู„ู„ู„ู‚ุงุก ุงู„ุฌุงูŠ ู‡ุฐุง
1404
+
1405
+ 352
1406
+ 00:32:24,900 --> 00:32:29,480
1407
+ ู„ู„ู„ู‚ุงุก ุงู„ุฌุงูŠุทุงู„ุน ุงู„ุชุงุจุน ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ
1408
+
1409
+ 353
1410
+ 00:32:29,480 --> 00:32:33,240
1411
+ ุจุฑุถู‡ three by threeุŒ ู…ุด ู‡ูŠูƒุŸ three rows, three
1412
+
1413
+ 354
1414
+ 00:32:33,240 --> 00:32:39,860
1415
+ columns ู„ู„ู‚ุงูŠู„ ุงู„ุฌุงูŠุฉ ุจูŠู…ูƒู†ูƒ
1416
+
1417
+ 355
1418
+ 00:32:39,860 --> 00:32:46,260
1419
+ ููŠ ุงู„ุจูŠุช ุชุญู„ูŠ 11 ุชุณุนุฉุŒ ุงู†ุช ูƒู…ู„ู‡ ูุจุญูƒูŠ at five
1420
+
1421
+ 356
1422
+ 00:32:46,260 --> 00:32:48,780
1423
+ percent level of significance ุฅูŠุด ุงู„ critical
1424
+
1425
+ 357
1426
+ 00:32:48,780 --> 00:32:57,090
1427
+ valueุŸ ุงู„ู„ูŠ ุชูˆุญู„ู†ุงู‡ุงุŒ ู…ุธุจูˆุทุŸุงู„ degrees of freedom
1428
+
1429
+ 358
1430
+ 00:32:57,090 --> 00:33:03,490
1431
+ ูˆุงุญุฏ ุทุจ ูŠุนู†ูŠ ุงู„ value ุทู„ุนุช ุญูƒูŠู†ุง five point
1432
+
1433
+ 359
1434
+ 00:33:03,490 --> 00:33:11,610
1435
+ something ู…ุด ู‡ูŠูƒ ุญูƒูŠู†ุง ุงู„ุฌูˆุงุจ five point nine four
1436
+
1437
+ 360
1438
+ 00:33:11,610 --> 00:33:20,110
1439
+ one eight ุงุฐุง
1440
+
1441
+ 361
1442
+ 00:33:20,110 --> 00:33:24,150
1443
+ ุงู†ุช three point eight four ูˆ ุจุณุชุฎุฏู… ุงู„ุณุคุงู„ ุงู„ู„ูŠ
1444
+
1445
+ 362
1446
+ 00:33:24,150 --> 00:33:24,550
1447
+ ุจุนุฏู‡
1448
+
1449
+ 363
1450
+ 00:33:29,390 --> 00:33:33,910
1451
+ ูŠุฌุจ ุฃู† ุชูƒูˆู†ูŠ ู…ุชุฃูƒุฏุฉ ุฃู† ุงู„ุชุทุจูŠู‚ุงุช ุงู„ู…ุชูˆู‚ุนุฉ ุชูƒูˆู†
1452
+
1453
+ 364
1454
+ 00:33:33,910 --> 00:33:39,090
1455
+ ุตุบูŠุฑุฉ ุฌุฏู‹ุง ูˆูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฌู‡ ุฅู„ู‰ ุทูŠุจ ูƒุจูŠุฑ ุทูŠุจ 1R
1456
+
1457
+ 365
1458
+ 00:33:39,090 --> 00:33:49,910
1459
+ ู…ุงุฐุง ุฑุฃูŠูƒุŸ ู‡ู„ ุจุญูƒูŠ reject ูˆู„ุง ู„ุงุŸ
1460
+
1461
+ 366
1462
+ 00:33:49,910 --> 00:33:52,950
1463
+ ุงู„ุณุคุงู„
1464
+
1465
+ 367
1466
+ 00:33:52,950 --> 00:33:53,290
1467
+ ุงู„ุจุนุฏูŠ
1468
+
1469
+ 368
1470
+ 00:33:59,870 --> 00:34:02,510
1471
+ ุนู†ุฏ ุงุณุชุฎุฏุงู… ูƒุงูŠ ุณูƒูˆูŠุฑ ุชุงุณุช ู„ุฅุณุชุฎุฏุงู… ุงู„ุงู†ุชู‚ุงู„ ูŠุฌุจ
1472
+
1473
+ 369
1474
+ 00:34:02,510 --> 00:34:05,510
1475
+ ุฃู† ุชูƒูˆู† ุฃุนุฑู ุฃู† ุชุชุฌุงุฑุจ ุงู„ุชูุงุตูŠู„ ุงู„ุชูŠ ูƒุงู†ุช ุฃูƒุชุฑ
1476
+
1477
+ 370
1478
+ 00:34:05,510 --> 00:34:12,190
1479
+ ุตุบูŠุฑุฉ ุณุชุชุณุจุจ ููŠ ุฃุฎุทุงุก ูƒุจูŠุฑุฉ ู„ู€ Type I ู„ู…ุง ุงู„ูุฑูˆู‚ุงุช
1480
+
1481
+ 371
1482
+ 00:34:12,190 --> 00:34:16,110
1483
+ ุชูƒูˆู† ุตุบูŠุฑุฉ ุชุทู„ุน
1484
+
1485
+ 372
1486
+ 00:34:16,110 --> 00:34:21,310
1487
+ ุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ุตุบูŠุฑุฉ ูˆู„ุง ูƒุจูŠุฑุฉ ู„ู…ุง ุงู„ูุฑู‚ ุจูŠู†
1488
+
1489
+ 373
1490
+ 00:34:21,310 --> 00:34:27,270
1491
+ ุงู„observer ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠูƒูˆู† ุตุบูŠุฑ ุตุบูŠุฑ ุชุทู„ุน
1492
+
1493
+ 374
1494
+ 00:34:27,270 --> 00:34:35,560
1495
+ ุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ู…ุงู„ู‡ุงู„ู€ small ู…ุด ู‡ูŠูƒ ุชุจู‚ู‰ ุจุชูƒูˆู† Kยฒ
1496
+
1497
+ 375
1498
+ 00:34:35,560 --> 00:34:40,000
1499
+ ุตุบูŠุฑุฉ ุงู„ P value ุจุชูƒุจุฑ ูˆู„ุง ุจุชุตุบุฑ ุงู„ probability
1500
+
1501
+ 376
1502
+ 00:34:40,000 --> 00:34:45,060
1503
+ ุงู„ู„ูŠ
1504
+
1505
+ 377
1506
+ 00:34:45,060 --> 00:34:48,360
1507
+ ุฃู†ุง ุฃูุชุฑุถ ุญุงุฌุฉ ุฒูŠูƒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ P value ู„ู„ test
1508
+
1509
+ 378
1510
+ 00:34:48,360 --> 00:34:53,200
1511
+ ุงู„ู„ูŠ ุนู†ุฏูŠ ูƒูŠู ุฃุญุณุจ ุงู„ P valueุŸ
1512
+
1513
+ 379
1514
+ 00:34:53,200 --> 00:34:58,600
1515
+ ู‡ุงูŠ ุงู„ P value ุจุชุณุงูˆูŠ Kยฒ ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
1516
+
1517
+ 380
1518
+ 00:35:02,400 --> 00:35:06,060
1519
+ ู…ุธุจูˆุทุŸ ุฃู‡ ุจุงู„ุธุจุท ูƒู„ ู…ุง ุจุชูƒุจุฑ ุจุชู‚ู„ ุงู„ Bevel ู„ู…ุง
1520
+
1521
+ 381
1522
+ 00:35:06,060 --> 00:35:11,960
1523
+ ุจุฏุฎู„ ู„ุฌูˆู‡ ู…ุด ู‡ูŠูƒ ุชุทู„ุน ุนู„ู‰ ุงู„ table ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡
1524
+
1525
+ 382
1526
+ 00:35:11,960 --> 00:35:18,900
1527
+ ุชูˆู‡ ุจูŠู‡
1528
+
1529
+ 383
1530
+ 00:35:18,900 --> 00:35:26,700
1531
+ ุฃูƒุจุฑ ู…ู† 5.9 ุงู…ุดูŠ ุนู„ู‰ 5.9 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุชู‚ุฑูŠุจุง ู…ูˆุฌูˆุฏุฉ
1532
+
1533
+ 384
1534
+ 00:35:26,700 --> 00:35:31,620
1535
+ ุจูŠู† ุชู†ุชูŠู† ู‡ุฐูˆู„ ู…ุด ู‡ูŠูƒ5.9 ู…ู‚ุงู„ ุจูŠู† ู‡ุฐูŠู† ุงู„ุนู…ู„ูŠูŠู†
1536
+
1537
+ 385
1538
+ 00:35:31,620 --> 00:35:36,660
1539
+ ุจุธุจุท ู†ุทู„ุน ุงู„ P value ุฒูŠ ู…ุง ูƒู†ุง ู†ุทู„ุน ููŠ ุญุงู„ุฉ ุงู„ T
1540
+
1541
+ 386
1542
+ 00:35:36,660 --> 00:35:40,920
1543
+ ูุจุงู„ุชุงู„ูŠ P value ู…ุญุตูˆู„ุฉ ุจูŠู† ู…ูŠู† ูˆ ู…ูŠู†ุŸ ุจูŠู† ูˆุงุญุฏ ูˆ
1544
+
1545
+ 387
1546
+ 00:35:40,920 --> 00:35:47,640
1547
+ ุงุชู†ูŠู† ูุชุทู„ุน P value ุจูŠู† 1 ูˆ 2% ุทูŠุจ ุงู„ P value
1548
+
1549
+ 388
1550
+ 00:35:47,640 --> 00:35:51,140
1551
+ ู…ุชูƒูˆู† ู…ุญุตูˆู„ุฉ ุจูŠู† 1 ูˆ 2% ูŠ reject ูˆู„ุง don't rejectุŸ
1552
+
1553
+ 389
1554
+ 00:35:51,140 --> 00:35:55,320
1555
+ ุงุญู†ุง ู† reject ุฅุฐุง ูƒุงู†ุช ุฃุตุบุฑ ู…ู† Alpha ุฅุฐุง Alpha 5%
1556
+
1557
+ 390
1558
+ 00:35:55,320 --> 00:35:59,380
1559
+ ู† reject ูˆู„ุง don't rejectุŸุงู„ู€ P value ู‡ูŠ ุจุชุณุงูˆูŠ
1560
+
1561
+ 391
1562
+ 00:35:59,380 --> 00:36:05,480
1563
+ ู‡ูŠูƒ ู‡ูŠ ุฃู‚ู„ ู…ุด ูƒุฏู‡ ุฅุฐุง ู†ู‚ู„ู‡ุง ุทุจ ู„ู…ุง ุงุณุชุฎุฏู…ู†ุง ุงู„
1564
+
1565
+ 392
1566
+ 00:36:05,480 --> 00:36:10,120
1567
+ critical ุฅุดูƒุงู„ ุงู„ุฌูˆุง ุจุฑุถู‡ ุงู„ 5.9 ๏ฟฝ๏ฟฝูˆุฌูˆุฏุฉ ู‡ู†ุง ูˆู„ุง
1568
+
1569
+ 393
1570
+ 00:36:10,120 --> 00:36:15,560
1571
+ ุจุฑุง ุฌูˆุจุง ุฅุฐุง ู†ู‚ู„ู‡ุง ู‡ูŠ ุงู„ hypothesis ุทุจ ู„ูˆ ุงู„ Kยฒ
1572
+
1573
+ 394
1574
+ 00:36:15,560 --> 00:36:23,440
1575
+ ู‚ูŠู…ุชู‡ุง ุฒุบุฑุช ุจุนุฏ ู…ุง ูƒุงู†ุช 5.9 ู†ูุชุฑุถ ุตุงุฑุช 2 ุงู„ P
1576
+
1577
+ 395
1578
+ 00:36:23,440 --> 00:36:28,620
1579
+ value ุจุงู„ุฒูŠุฏ ูˆู„ุง ุจุชูƒุจุฑ ุจุงู„ุฒูŠุฏุฎู„ุงุตุŸ ุฅุฐุง ูƒู„ ู…ุง ูƒุงู†ุช
1580
+
1581
+ 396
1582
+ 00:36:28,620 --> 00:36:35,100
1583
+ ุงู„ูƒู‡ุฉ square ุตุบูŠุฑุฉ ุงู„ู€ be very ู…ุงู„ู‡ุง ุจุชูƒุจุฑ ูˆ ุงู„ุนูƒุณ
1584
+
1585
+ 397
1586
+ 00:36:35,100 --> 00:36:41,380
1587
+ ุตุญูŠุญ ุชุทู„ุน ุจุงู‚ูŠ ุงู„ู…ุซุงู„ ู„ู„ู‚ุงุฉ ุชุฌุงู‡ ุงู† ุดุงุก ุงู„ู„ู‡
1588
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qOsTqyHxuEw_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qOsTqyHxuEw_raw.srt ADDED
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1
+ 1
2
+ 00:00:20,990 --> 00:00:25,190
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃุชุญุฏุซ ุนู†
4
+
5
+ 2
6
+ 00:00:25,190 --> 00:00:31,690
7
+ ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ ููŠ ู‡ุฐุง ุงู„ูƒุชุงุจ ุงู„ุญุฏุซ 12 ูŠุชุญุฏุซ ุนู† ู†ูˆุน
8
+
9
+ 3
10
+ 00:00:31,690 --> 00:00:46,590
11
+ ุฌุฏูŠุฏ ุชุณู…ู‰ ูƒุงูŠ ุณูƒูˆูŠุฑ ุชุณุช ุญุฏุซ 11 ูƒุงูŠ
12
+
13
+ 4
14
+ 00:00:46,590 --> 00:00:47,090
15
+ ุณูƒูˆูŠุฑ
16
+
17
+ 5
18
+ 00:00:54,810 --> 00:01:01,070
19
+ CHI is pronounced as CHI and
20
+
21
+ 6
22
+ 00:01:01,070 --> 00:01:07,970
23
+ denoted by this symbol CHI square CHI ุญุฑู ูŠูˆู†ุงู†ูŠ
24
+
25
+ 7
26
+ 00:01:07,970 --> 00:01:12,870
27
+ Greek letter ุฒูŠ Alpha ูˆ Beta ูˆ ุฎุฏู…ุฉ ู‚ุจู„ู‡ุง ูู‡ุฐุง
28
+
29
+ 8
30
+ 00:01:12,870 --> 00:01:17,890
31
+ ุงู„ุฑู…ุฒ ุชุจุนู‡ ุฒูŠ ุงู„ X ุจุณ ุฅุชุงู„ูŠูƒ ุดูˆูŠุฉ ูˆ ุนู„ูŠู‡ ุงู„ square
32
+
33
+ 9
34
+ 00:01:17,890 --> 00:01:23,670
35
+ CHI squareูู‡ุฐุง ูŠู†ูุฐ ูƒุงูŠ ูƒุงูŠ ุฒูŠ alpha ุฒูŠ beta ู‡ุฏูˆู„
36
+
37
+ 10
38
+ 00:01:23,670 --> 00:01:29,470
39
+ agricultural ูˆุงุญุฏ ู…ู† ุงู„ุฃุญุฑู ุงู„ูŠูˆู†ุงู†ูŠุฉ ุงุณู…ู‡ ูƒุงูŠ ูƒุงูŠ
40
+
41
+ 11
42
+ 00:01:29,470 --> 00:01:34,290
43
+ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู…ู† ุบูŠุฑ ุงู„ square ูƒุงูŠ
44
+
45
+ 12
46
+ 00:01:34,290 --> 00:01:40,070
47
+ ุงูƒุชุจูŠ ูƒูŠุงุจ ุงู„ุนุฑุจูŠ ูƒุงูŠ
48
+
49
+ 13
50
+ 00:01:40,070 --> 00:01:44,910
51
+ there
52
+
53
+ 14
54
+ 00:01:44,910 --> 00:01:48,150
55
+ is only one objective in this chapter how and when
56
+
57
+ 15
58
+ 00:01:48,930 --> 00:01:52,170
59
+ to use the chi-square test for contingency tables
60
+
61
+ 16
62
+ 00:01:52,170 --> 00:01:59,130
63
+ ูƒูŠู ูˆ ู…ุชู‰ ุงูˆ ู…ุชู‰ ูˆ ูƒูŠู ูŠู…ูƒู† ุงุณุชุฎุฏุงู… ุงู„ test ู„ุญุงุฌุฉ
64
+
65
+ 17
66
+ 00:01:59,130 --> 00:02:02,890
67
+ ุงุณู…ู‡ุง contingency tables now we will start with
68
+
69
+ 18
70
+ 00:02:02,890 --> 00:02:06,470
71
+ the definition of contingency tables what does
72
+
73
+ 19
74
+ 00:02:06,470 --> 00:02:10,210
75
+ contingency table mean ุงูŠุด ุจู‚ุตุฏ ุจุงู„ contingency
76
+
77
+ 20
78
+ 00:02:10,210 --> 00:02:17,060
79
+ table ุงูŠุด ู…ุนู†ุงู‡ ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉcontingency tables
80
+
81
+ 21
82
+ 00:02:17,060 --> 00:02:20,300
83
+ useful in situations comparing multiple population
84
+
85
+ 22
86
+ 00:02:20,300 --> 00:02:26,580
87
+ proportions ุจุณุชุฎุฏู…ู‡ู… ู„ุนู…ู„ ู…ู‚ุงุฑู†ุฉ proportions ู…ู…ูƒู†
88
+
89
+ 23
90
+ 00:02:26,580 --> 00:02:29,600
91
+ ุงุชู†ูŠู† ูˆ ุงูƒุชุฑ ูŠุนู†ูŠ two or more population
92
+
93
+ 24
94
+ 00:02:29,600 --> 00:02:34,040
95
+ proportions you classify sample observations
96
+
97
+ 25
98
+ 00:02:34,040 --> 00:02:37,300
99
+ according to two or more characteristics ุฎุฏู†ุง
100
+
101
+ 26
102
+ 00:02:37,300 --> 00:02:40,800
103
+ ู‚ุจู„ู‡ุง ููŠ chapter 10 ู„ู…ุง ุจู†ุญูƒูŠ male ูˆ female ูˆ
104
+
105
+ 27
106
+ 00:02:40,800 --> 00:02:43,840
107
+ ุจู†ุญูƒูŠ yes ูˆ no ู‡ุฐูˆ ู†ุณู…ูŠู‡ two characteristics
108
+
109
+ 28
110
+ 00:02:45,040 --> 00:02:47,120
111
+ Sometimes we have more than two characteristics
112
+
113
+ 29
114
+ 00:02:47,120 --> 00:02:54,120
115
+ like what's your opinion about ุฃุดูŠุงุก ู…ุนูŠู†ุฉ ุดุบู„ุฉ
116
+
117
+ 30
118
+ 00:02:54,120 --> 00:02:58,560
119
+ ู…ุนูŠู†ุฉ either agree or disagree ู‡ุฐุง ู†ุณู…ูŠู‡ two
120
+
121
+ 31
122
+ 00:02:58,560 --> 00:03:03,400
123
+ proportions but sometimes we could have strongly
124
+
125
+ 32
126
+ 00:03:03,400 --> 00:03:08,160
127
+ agreeagree, disagree and strongly disagree ูููŠ ู‡ุฐู‡
128
+
129
+ 33
130
+ 00:03:08,160 --> 00:03:12,880
131
+ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุฃูˆ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ููƒูŠู ูŠู…ูƒู†ู†ุง
132
+
133
+ 34
134
+ 00:03:12,880 --> 00:03:16,000
135
+ ุฃู† ู†ุฌุนู„ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ contingency table ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง
136
+
137
+ 35
138
+ 00:03:16,000 --> 00:03:17,540
139
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
140
+
141
+ 36
142
+ 00:03:17,540 --> 00:03:19,880
143
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
144
+
145
+ 37
146
+ 00:03:19,880 --> 00:03:20,580
147
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
148
+
149
+ 38
150
+ 00:03:20,580 --> 00:03:21,100
151
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
152
+
153
+ 39
154
+ 00:03:21,100 --> 00:03:23,000
155
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
156
+
157
+ 40
158
+ 00:03:23,000 --> 00:03:34,590
159
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงุชูˆุงูู‚ุŒ ุฎู„ู‘ูŠู‡ุง ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
160
+
161
+ 41
162
+ 00:03:34,590 --> 00:03:37,530
163
+ ูˆ ุฎู„ุงุต ูƒู†ุชูŠู† ุฌู†ุณ ุชุงุจุน ูŠุนู†ูŠ ุจุชูƒูˆู† ุนู†ุฏูƒ .. ุจุชุนู…ู„
164
+
165
+ 42
166
+ 00:03:37,530 --> 00:03:41,150
167
+ comparison between two or more population
168
+
169
+ 43
170
+ 00:03:41,150 --> 00:03:45,130
171
+ proportions ุงูˆู„ ุฌุงุจุชูˆุฏ ุงู† ุดุงุก ุงู„ู„ู‡ just example
172
+
173
+ 44
174
+ 00:03:45,130 --> 00:03:48,530
175
+ for two characteristics ู„ูˆ ูƒู†ุง ููŠู‡ุง ุนู†ุฏ ุงุชู†ูŠู†
176
+
177
+ 45
178
+ 00:03:48,530 --> 00:03:52,850
179
+ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ูˆุถูˆุน ุงู„ูŠูˆู… ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุดู‡ุฑ
180
+
181
+ 46
182
+ 00:03:52,850 --> 00:03:56,270
183
+ ุนุดุฑุฉ ููŠ ุดู‡ุฑ ุนุดุฑุฉ ุฃุฎุฏู†ุง comparing between two
184
+
185
+ 47
186
+ 00:03:56,270 --> 00:04:00,030
187
+ proportions ู‡ู†ุง ุจุฑุถู‡ ู‡ู†ุงุฎุฏ comparing two
188
+
189
+ 48
190
+ 00:04:00,030 --> 00:04:03,020
191
+ population proportionsูŠุนู†ูŠ ุงู„ู„ูŠ ุญู„ู„ู†ุงู‡ ููŠ ุดุจุท
192
+
193
+ 49
194
+ 00:04:03,020 --> 00:04:08,520
195
+ ุงู„ุนุดุฑุฉ ุจู…ู…ูƒู† ุฃู† ู†ุญู„ู‡ ุจู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ุชุจุน comparing
196
+
197
+ 50
198
+ 00:04:08,520 --> 00:04:11,800
199
+ two population proportions for example ุงู„
200
+
201
+ 51
202
+ 00:04:11,800 --> 00:04:13,900
203
+ contingency ุชุงุจุน ุนุดุงู† ู†ุนุฑู ุฅูŠุด ู…ูุฑูˆุถ ุงู„
204
+
205
+ 52
206
+ 00:04:13,900 --> 00:04:17,860
207
+ contingency ุชุงุจุน ุจุชูƒู„ู… ุงู„ example ุนู„ู‰ left-handed
208
+
209
+ 53
210
+ 00:04:17,860 --> 00:04:25,760
211
+ versus gender ุจุชุนุฑู ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠูƒูˆู† ุจูŠุณุชุฎุฏู… ุงู„
212
+
213
+ 54
214
+ 00:04:25,760 --> 00:04:30,220
215
+ left hand or ุงู„ right hand ูู…ู…ูƒู† ุงู„ dominant hand
216
+
217
+ 55
218
+ 00:04:30,220 --> 00:04:36,300
219
+ ุชูƒูˆู† leftูŠุนู†ูŠ ุงู„ู…ุณูŠุทุฑ dominant ู…ุนู†ุงู‡ ู…ุณูŠุทุฑ ุฃูˆ
220
+
221
+ 56
222
+ 00:04:36,300 --> 00:04:40,810
223
+ ู…ู‡ูŠู…ู† ุนู„ูŠูƒุชุณุชุฎุฏู… either left hand or right hand
224
+
225
+ 57
226
+ 00:04:40,810 --> 00:04:44,250
227
+ ูููŠ ุนู†ุฏู‰ two characteristics either I use my left
228
+
229
+ 58
230
+ 00:04:44,250 --> 00:04:47,750
231
+ or your right hand and the other variable is
232
+
233
+ 59
234
+ 00:04:47,750 --> 00:04:51,450
235
+ called gender either male or female so in this
236
+
237
+ 60
238
+ 00:04:51,450 --> 00:04:53,910
239
+ case there are two characteristics for each
240
+
241
+ 61
242
+ 00:04:53,910 --> 00:04:56,910
243
+ variable so there are two variables each one has
244
+
245
+ 62
246
+ 00:04:56,910 --> 00:05:00,890
247
+ two characteristics either male and female or use
248
+
249
+ 63
250
+ 00:05:00,890 --> 00:05:08,350
251
+ left or right handููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ 2 ู…ุฌู…ูˆุนุงุช ู„ูƒู„
252
+
253
+ 64
254
+ 00:05:08,350 --> 00:05:17,430
255
+ ู…ุฌู…ูˆุนุฉ ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
256
+
257
+ 65
258
+ 00:05:17,430 --> 00:05:20,330
259
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
260
+
261
+ 66
262
+ 00:05:20,330 --> 00:05:23,170
263
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
264
+
265
+ 67
266
+ 00:05:23,170 --> 00:05:23,510
267
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
268
+
269
+ 68
270
+ 00:05:23,510 --> 00:05:23,890
271
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
272
+
273
+ 69
274
+ 00:05:23,890 --> 00:05:28,510
275
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2 ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2
276
+
277
+ 70
278
+ 00:05:28,510 --> 00:05:38,080
279
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2ูˆุงู„ู…ุซุงู„ ุงู„ู„ู‰ ุฃุนุทุงู†ู‰ ู‡ุฐุง ุงู„ูˆุถุน hand
280
+
281
+ 71
282
+ 00:05:38,080 --> 00:05:42,980
283
+ preference ุงู„ูŠุฏ ุงู„ู„ู‰ ูˆุงุญุฏ ุจูŠุณุชุฎุฏู…ู‡ุง ูˆุงู„ู…ูุถู„ุฉ ู„ู‡
284
+
285
+ 72
286
+ 00:05:42,980 --> 00:05:50,680
287
+ ูˆู‡ุง ุงู„ gender ูู…ุงูŠู„ ูˆู…ุงูŠู„ ูˆ left ูˆ right ู„ุฐู„ูƒ
288
+
289
+ 73
290
+ 00:05:50,680 --> 00:05:58,480
291
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู„ุฏูŠู†ุง ู…ุซุงู„ 300 ุฃุทูุงู„ ู‡ุฐุง ุงู„ู…ุซุงู„ ูŠุนุทูŠ ู‡ุฐุง
292
+
293
+ 74
294
+ 00:05:58,480 --> 00:06:06,940
295
+ ุงู„ูˆุถุน ู‡ู†ุงูƒ ุงุชุฎุงุฐูŠู†ุงู„ุฎูŠุงุฑ ุงู„ูŠุฏ ุฃูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ
296
+
297
+ 75
298
+ 00:06:06,940 --> 00:06:07,740
299
+ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ
300
+
301
+ 76
302
+ 00:06:07,740 --> 00:06:09,040
303
+ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ุงู„ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
304
+
305
+ 77
306
+ 00:06:09,040 --> 00:06:09,560
307
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
308
+
309
+ 78
310
+ 00:06:09,560 --> 00:06:09,680
311
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
312
+
313
+ 79
314
+ 00:06:09,680 --> 00:06:13,680
315
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
316
+
317
+ 80
318
+ 00:06:13,680 --> 00:06:18,660
319
+ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ ุงูˆ ูŠุณุฑ
320
+
321
+ 81
322
+ 00:06:18,660 --> 00:06:25,340
323
+ ุงูˆ ูŠุณุฑ ุงูˆ
324
+
325
+ 82
326
+ 00:06:25,340 --> 00:06:30,280
327
+ ูŠุณ108 ู‡ูˆ ุนุฏุฏ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ููŠ ู‡ุฐุง ุงู„ูˆุตูุŒ ู„ุฐู„ูƒ
328
+
329
+ 83
330
+ 00:06:30,280 --> 00:06:33,500
331
+ ุนุฏุฏ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ู‡ูˆ 300ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ ุนุฏุฏ ุงู„ู…ุทุนู…
332
+
333
+ 84
334
+ 00:06:33,500 --> 00:06:39,820
335
+ ุงู„ู…ุฌุชู…ุนูŠ ุนุฏุฏ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ุฑูˆูŠุฉ ูˆู„ุฏูŠู†ุง ุฃูŠุถุง ุนุฏุฏ
336
+
337
+ 85
338
+ 00:06:39,820 --> 00:06:45,820
339
+ ุงู„ู…ุทุนู… ุงู„ู…ุฌุชู…ุนูŠ ูƒูˆู„ูˆู…ุฉ ู‡ุฐุง ุงู„ุนุฑุถ ูŠุณู…ู‰ 2x2 ู„ุฃู† ู‡ู†ุงูƒ
340
+
341
+ 86
342
+ 00:06:45,820 --> 00:06:53,870
343
+ 2 ุฑูˆูŠุฉ ูˆ2 ูƒูˆู„ูˆู…ุฉ ุฃู†ุง ู„ุง ุฃุญุณุจ ุนุฏุฏ ุงู„ู…ุทุนู…ูˆุงุญุฏุฉ ุจู†ุตูˆู
344
+
345
+ 87
346
+ 00:06:53,870 --> 00:06:56,450
347
+ ูˆ ู„ุงุนุจ ุฏู‡ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ ุจูŠู†ุงุญุณุจ ุจุณ ุงู„
348
+
349
+ 88
350
+ 00:06:56,450 --> 00:06:59,650
351
+ characteristics ู„ุนู†ุฏูŠ ุงู„ male ูˆ female left ูˆ
352
+
353
+ 89
354
+ 00:06:59,650 --> 00:07:04,570
355
+ right ุจุงู„ุชุงู„ูŠ there are two rows ูˆ ุงุถุญูƒุชูŠู† ูˆ two
356
+
357
+ 90
358
+ 00:07:04,570 --> 00:07:08,770
359
+ columns ู†ุจุฏุฃ ุจุงู„ุฑูˆู ุงู„ุฃูˆู„ two rows and two columns
360
+
361
+ 91
362
+ 00:07:08,770 --> 00:07:12,130
363
+ so this table is called two by two so in this case
364
+
365
+ 92
366
+ 00:07:12,130 --> 00:07:17,690
367
+ sample size n is 300 among these 300 there are 120
368
+
369
+ 93
370
+ 00:07:17,690 --> 00:07:26,630
371
+ femalesูˆ ุจูŠู† ู‡ุฐุง ุงู„ุฑู‚ู… ูŠูˆุฌุฏ 12 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ
372
+
373
+ 94
374
+ 00:07:26,630 --> 00:07:31,690
375
+ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180
376
+
377
+ 95
378
+ 00:07:31,690 --> 00:07:36,350
379
+ ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
380
+
381
+ 96
382
+ 00:07:36,350 --> 00:07:36,430
383
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
384
+
385
+ 97
386
+ 00:07:36,430 --> 00:07:36,430
387
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
388
+
389
+ 98
390
+ 00:07:36,430 --> 00:07:36,430
391
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
392
+
393
+ 99
394
+ 00:07:36,430 --> 00:07:36,510
395
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
396
+
397
+ 100
398
+ 00:07:36,510 --> 00:07:41,530
399
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180 ุดุฎุต
400
+
401
+ 101
402
+ 00:07:41,530 --> 00:07:46,970
403
+ ูŠุชุญุฑูƒูˆู† ูˆ ูŠูˆุฌุฏ 180
404
+
405
+ 102
406
+ 00:07:46,970 --> 00:07:51,370
407
+ ุดุฎุต ูŠุชุญู„ู†ุฑู‰ ุงู„ุขู† ุงู„ู€ null ูˆ ุงู„ู€ alternate
408
+
409
+ 103
410
+ 00:07:51,370 --> 00:07:55,010
411
+ hypothesis ุงู„ุชูŠ ุชุญุฏุซู†ุง ุนู†ู‡ุง ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ ุงู„ู€
412
+
413
+ 104
414
+ 00:07:55,010 --> 00:08:00,830
415
+ null ู‡ูŠ ุงู„hypothesis ุจูŠ ูˆุงู† ูŠู‚ู„ ุจูŠ ุชูˆู† ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
416
+
417
+ 105
418
+ 00:08:00,830 --> 00:08:04,250
419
+ ู…ุฌู…ูˆุนุฉ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุฑ ูŠู‚ู„ ู„ู…ุฌู…ูˆุนุฉ
420
+
421
+ 106
422
+ 00:08:04,250 --> 00:08:08,050
423
+ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุฑ ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฅู†ุงุซ ุงู„ู„ูŠ
424
+
425
+ 107
426
+ 00:08:08,050 --> 00:08:10,090
427
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‡ ุจูŠุณุชุฎุฏู…ูˆุง ู†ุณุจุฉ ุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ
428
+
429
+ 108
430
+ 00:08:10,090 --> 00:08:15,270
431
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‡ู†ุญู† ู†ุฌุฑุจ ู‡ุฐู‡ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ุงู„ู†ุงู„ูŠุฉ
432
+
433
+ 109
434
+ 00:08:15,270 --> 00:08:17,830
435
+ ุถุฏ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ ุงู„ุชุบูŠูŠุฑูŠุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู…ุชุณุงูˆู…ุฉ
436
+
437
+ 110
438
+ 00:08:17,830 --> 00:08:21,170
439
+ ุจูˆุงุณุทุฉ ุงุซู†ูŠู† ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ุงุชุฌุงุฑุงุช ุงู„ุงุซู†ูŠู† ู„ูŠุณุช
440
+
441
+ 111
442
+ 00:08:21,170 --> 00:08:22,210
443
+ ู…ุชุณุงูˆู…ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณ ู…ุชุณุงูˆู…ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
444
+
445
+ 112
446
+ 00:08:22,210 --> 00:08:28,650
447
+ ุจูˆุงุณุทุฉ ุงุซู†ูŠู† ุงู„ุงู† ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุฑุฑ ุฃู†
448
+
449
+ 113
450
+ 00:08:28,650 --> 00:08:32,610
451
+ ู†ุชูุฑุฌ ุฃูˆ ู„ุง ุชุชูุฑุฌ ุนู„ู‰ ู†ู‚ุทุฉ ุฃุฒุฑุน ุจุณุจุจ ู…ุตุงุฏู‚ุฉ ุฌุฏูŠุฏุฉ
452
+
453
+ 114
454
+ 00:08:32,610 --> 00:08:37,930
455
+ ุงุณู…ู‡ุง test chi-square ุงุฎุชุจุงุฑ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ู†ุณู…ูŠู‡ chi
456
+
457
+ 115
458
+ 00:08:37,930 --> 00:08:40,170
459
+ -square ู…ุตุงุฏู‚ุฉ chi-square ู…ุตุงุฏู‚ุฉ
460
+
461
+ 116
462
+ 00:08:44,440 --> 00:08:51,960
463
+ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฃุณุชุงุฐ equals f
464
+
465
+ 117
466
+ 00:08:51,960 --> 00:08:59,100
467
+ observed minus f expected squared then we have
468
+
469
+ 118
470
+ 00:08:59,100 --> 00:09:07,200
471
+ summation all cells now where fo it's called
472
+
473
+ 119
474
+ 00:09:07,200 --> 00:09:12,460
475
+ observed frequency in particular cell cell ู…ุนู†ุงู‡ุง
476
+
477
+ 120
478
+ 00:09:13,500 --> 00:09:16,820
479
+ ุฎู„ูŠุฉ ูˆุฎู„ูŠุฉ ู…ุนู†ุงู‡ุง ู‡ู†ุง ููŠ ุงู„ู€ table in this case
480
+
481
+ 121
482
+ 00:09:16,820 --> 00:09:22,060
483
+ there are four cells ู‡ุฏูˆู„ cell head cell ู…ูŠุฉ ูˆ
484
+
485
+ 122
486
+ 00:09:22,060 --> 00:09:25,920
487
+ ุชู…ุงู†ูŠู† cell ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠู† 24 cell one fifty six
488
+
489
+ 123
490
+ 00:09:25,920 --> 00:09:30,580
491
+ cell so there are four cells so in this case there
492
+
493
+ 124
494
+ 00:09:30,580 --> 00:09:35,680
495
+ are four cells now f o is called observed
496
+
497
+ 125
498
+ 00:09:35,680 --> 00:09:39,100
499
+ frequency
500
+
501
+ 126
502
+ 00:09:41,650 --> 00:09:44,890
503
+ observed ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู€ table ูŠุนู†ูŠ 12,
504
+
505
+ 127
506
+ 00:09:45,290 --> 00:09:50,470
507
+ 108, 24, 156 they are called observed frequencies
508
+
509
+ 128
510
+ 00:09:50,470 --> 00:09:56,350
511
+ is an observed ุงู„ู…ุนุชู†ูŠู‡ู… ููŠ ุงู„ table ุงู„ F E
512
+
513
+ 129
514
+ 00:09:56,350 --> 00:10:01,090
515
+ expected frequency
516
+
517
+ 130
518
+ 00:10:03,890 --> 00:10:06,810
519
+ ูˆ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุญุณูŠู† ุงู„ู€Expected Frequencies ู„ูƒู„
520
+
521
+ 131
522
+ 00:10:06,810 --> 00:10:10,750
523
+ ุฌู‡ุฉ ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุญุณุจ ุงู„ู€Expected Frequency ูƒูŠู
524
+
525
+ 132
526
+ 00:10:10,750 --> 00:10:16,790
527
+ ุณู†ุญุณุจู‡ุง ุณู†ุฑู‰ ุจุนุฏ ู‚ู„ูŠู„ ูุงู„ู€FO
528
+
529
+ 133
530
+ 00:10:16,790 --> 00:10:21,730
531
+ ูŠุณู…ู‰ ุจู€Observed Frequency ูˆFE ุจู€Expected Frequency
532
+
533
+ 134
534
+ 00:10:21,730 --> 00:10:27,190
535
+ ุฅุฐุง ูƒุงู†ุช ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุง ู†ุญุณุจ ุงู„ู€FE ุจุงูุชุฑุงุถ ุฃู†ู‡
536
+
537
+ 135
538
+ 00:10:27,190 --> 00:10:31,650
539
+ ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุงุงู„ุงู† ู‡ุฐุง ุงู„ุงุณู… ุงู„ุงุณู… ูƒุงูŠ ุณูƒูˆุงุฑ
540
+
541
+ 136
542
+ 00:10:31,650 --> 00:10:40,430
543
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ
544
+
545
+ 137
546
+ 00:10:40,430 --> 00:10:44,350
547
+ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ
548
+
549
+ 138
550
+ 00:10:44,350 --> 00:10:47,190
551
+ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ
552
+
553
+ 139
554
+ 00:10:47,190 --> 00:10:51,650
555
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
556
+
557
+ 140
558
+ 00:10:51,650 --> 00:10:57,730
559
+ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ
560
+
561
+ 141
562
+ 00:10:57,730 --> 00:10:58,050
563
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
564
+
565
+ 142
566
+ 00:10:58,050 --> 00:10:58,050
567
+ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ
568
+
569
+ 143
570
+ 00:10:58,050 --> 00:10:59,250
571
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ ู„ุฏูŠู‡ ูƒุงูŠู‡ูŠ Sky
572
+
573
+ 144
574
+ 00:10:59,250 --> 00:11:02,690
575
+ -square distribution with one degree of freedom
576
+
577
+ 145
578
+ 00:11:02,690 --> 00:11:06,590
579
+ ุฅุฐุง ุฅู„ู‡ ุชูˆุฒูŠุน ู…ุฑุจุน ูƒุงูŠ ุจุฏุฑุฌุงุช ุญุฑูŠุฉ ุจุณุงูˆุฉ ูˆุงุญุฏ ููŠ
580
+
581
+ 146
582
+ 00:11:06,590 --> 00:11:11,010
583
+ assumption as we used in T-test and Z-test in this
584
+
585
+ 147
586
+ 00:11:11,010 --> 00:11:15,350
587
+ case each cell in the contingency table ูƒู„ cell ููŠ
588
+
589
+ 148
590
+ 00:11:15,350 --> 00:11:20,030
591
+ ุงู„ table has expected frequency of at least five
592
+
593
+ 149
594
+ 00:11:20,030 --> 00:11:23,810
595
+ ูŠุนู†ูŠ ู„ู…ุง ุจุญุณุจ expected frequency ู„ุงุฒู… ูŠูƒูˆู† ุนู„ู‰
596
+
597
+ 150
598
+ 00:11:23,810 --> 00:11:29,970
599
+ ุงู„ุฃู‚ู„ ุจุณุงูˆุฉ ุฎู…ุณุฉู‡ูŠ ุงู„ุดุฑุท ุชุจุนู†ุง ู‡ูˆ ุฏู‡ ุงู„ุดุฑุท is
600
+
601
+ 151
602
+ 00:11:29,970 --> 00:11:39,430
603
+ always for two by two now again the chi-square
604
+
605
+ 152
606
+ 00:11:39,430 --> 00:11:44,530
607
+ statistic test approximately follows chi-square
608
+
609
+ 153
610
+ 00:11:44,530 --> 00:11:47,610
611
+ distribution with one degree of freedom ู„ูˆ ุชุทู„ุน
612
+
613
+ 154
614
+ 00:11:47,610 --> 00:11:52,010
615
+ ุนู„ู‰ ุงู„ shape ุชุจุน ุงู„ chi-square is it symmetricุŸ ู‡ู„
616
+
617
+ 155
618
+ 00:11:52,010 --> 00:11:57,720
619
+ ู‡ูˆ ู…ุชู…ุซู„ุŸ ู„ุฃSkewed right ูˆู„ุง leftุŸ right ู„ุฃู† ุงู„
620
+
621
+ 156
622
+ 00:11:57,720 --> 00:12:02,380
623
+ right tail is longer than left tail ูˆ actually
624
+
625
+ 157
626
+ 00:12:02,380 --> 00:12:07,680
627
+ there is no left tail ุฏุงุฆู…ุง positive ุงูˆ non
628
+
629
+ 158
630
+ 00:12:07,680 --> 00:12:13,220
631
+ -negative ู…ุจุฏุฃ ู…ู† ุงู„ zero ูุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ุง right
632
+
633
+ 159
634
+ 00:12:13,220 --> 00:12:21,000
635
+ skewed ูˆ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ุง non-negative ุงุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
636
+
637
+ 160
638
+ 00:12:21,000 --> 00:12:21,260
639
+ ุณูƒูˆูŠุฑ
640
+
641
+ 161
642
+ 00:12:27,270 --> 00:12:36,650
643
+ ู‡ูŠ ุงู„ุฌุฏูˆู„ ุงู„ู„ูŠ
644
+
645
+ 162
646
+ 00:12:36,650 --> 00:12:40,510
647
+ ุนู†ุฏูƒ
648
+
649
+ 163
650
+ 00:12:40,510 --> 00:12:49,490
651
+ ููŠ ุงู„ุขุฎุฑ ุงู„ุฌุฏูˆู„ ููŠ ูƒุงูŠ ุณูƒูˆูŠุฑ ุงุนุชู‚ุฏ
652
+
653
+ 164
654
+ 00:12:49,490 --> 00:12:50,210
655
+ 282
656
+
657
+ 165
658
+ 00:13:08,200 --> 00:13:15,780
659
+ 287 ุฅุฐุง ุงู„ table ุงู„ู„ูŠ ุจุญูƒูŠ ุนู„ูŠู‡ on page 287
660
+
661
+ 166
662
+ 00:13:15,780 --> 00:13:22,600
663
+ 287 ุฅุฐุง ู‡ุฐุง ูƒุงูŠ ุณูƒูˆูŠุฑ table ุฒูŠ ุงู„ T ุจุงู„ุธุจุท ุงู„
664
+
665
+ 167
666
+ 00:13:22,600 --> 00:13:25,820
667
+ table ุดูƒู„ู‡ ุงู„ T ู„ูƒู† ุทุจุนุง ุงู„ T negative ูˆ positive
668
+
669
+ 168
670
+ 00:13:25,820 --> 00:13:31,550
671
+ ู‡ู†ุง ุจุณ positive ุงูŠู‡ ุนู†ุฏูŠ ุงู„ right tail is longerููŠ
672
+
673
+ 169
674
+ 00:13:31,550 --> 00:13:35,170
675
+ ุนู†ุฏ ุงู„ู€ rows represent degrees of freedom ุงู„ุตููˆู
676
+
677
+ 170
678
+ 00:13:35,170 --> 00:13:39,450
679
+ ุชู…ุซู„ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉ ูˆ ุงู„ columns represent the area
680
+
681
+ 171
682
+ 00:13:39,450 --> 00:13:44,490
683
+ to the right I mean Alpha ูููŠ
684
+
685
+ 172
686
+ 00:13:44,490 --> 00:13:49,390
687
+ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณู†ุณุชุฎุฏู… Df equal one ูุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
688
+
689
+ 173
690
+ 00:13:49,390 --> 00:13:54,290
691
+ ุฅุฐุง Alpha ู‡ูˆ 5% ุซู…
692
+
693
+ 174
694
+ 00:13:54,290 --> 00:13:58,090
695
+ K square Alpha ู‡ูˆ 3.84
696
+
697
+ 175
698
+ 00:14:02,330 --> 00:14:05,190
699
+ ู„ุฐู„ูƒ ูู‚ุท ุชุจุญุซ ุนู† ุนุฏุฏ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
700
+
701
+ 176
702
+ 00:14:05,190 --> 00:14:10,590
703
+ ูู‡ู†ุงูƒ ูˆุงุญุฏ ูู‚ุท ุงูŠุถุง ุชุจุญุซ ุนู† ุนุฏุฏ ุฃู„ู ุงุนู†ูŠ ุงู„ุนุฏุฏ
704
+
705
+ 177
706
+ 00:14:10,590 --> 00:14:18,130
707
+ ุงู„ูˆุงุญุฏ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู5% ู„ุฐู„ูƒ ูˆุงุญุฏ ุถุฏ 5 ู‡ูˆ 3.84
708
+
709
+ 178
710
+ 00:14:18,130 --> 00:14:22,630
711
+ ุทุฑูŠู‚ุฉ ุงุณุชุฎุฏุงู…ู‡ ุฒูŠ ุงู„ T ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ ุฒูŠูƒ
712
+
713
+ 179
714
+ 00:14:22,630 --> 00:14:31,010
715
+ ุจุงุณุชุฎุฏุงู… ูƒุงูŠ ุณูƒูˆุงุฑุช ุชุงุจูˆุฑ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
716
+
717
+ 180
718
+ 00:14:31,010 --> 00:14:35,950
719
+ ุณูƒูˆุงุฑุชูุงู„ุช ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต ู…ู†ู‡ุง ุซู… ู†ุชุฎู„ุต ู…ู†ู‡ุง
720
+
721
+ 181
722
+ 00:14:35,950 --> 00:14:43,650
723
+ ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู†ุชุญุฏุซ ุนู†ู‡ ุนุฏุฉ ู…ุฑุงุช ู…ุฑุฉ ุงุฎุฑู‰ ูƒุงูŠู†
724
+
725
+ 182
726
+ 00:14:43,650 --> 00:14:48,910
727
+ ุณูƒูˆุงุฑ ู…ุฑุชุจุท ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ูˆุฅุฐุง
728
+
729
+ 183
730
+ 00:14:48,910 --> 00:14:53,070
731
+ ู‚ูŠู…ุฉ ูƒุงูŠู† ุณูƒูˆุงุฑ ุงู„ุงู†ุชุฌุงุฑุงุช ุชุชุฎู„ุต ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต
732
+
733
+ 184
734
+ 00:14:53,070 --> 00:14:58,630
735
+ ู…ู†ู‡ุง ุซู… ู†ุชุฎู„ุต ู…ู†ู‡ุง ุฅู„ุง ุฅุฐุง ู„ู… ู†ุชุฎู„ุต ู…ู†ู‡ุง ุงู„ุขู†
736
+
737
+ 185
738
+ 00:14:58,630 --> 00:15:01,710
739
+ ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู†ุชุฌุงุฑ ูƒุงูŠู† ุณูƒูˆุงุฑ
740
+
741
+ 186
742
+ 00:15:04,870 --> 00:15:09,690
743
+ ุจุงุณุชุฎุฏุงู… ุงู„ู…ุฑุญู„ุงุช ุงู„ุชุงู„ูŠุฉ ู…ุฑุญู„ุฉ ุฃูˆู„ู‰ ูŠุฌุจ ุฃู† ู†ุฌุฏ
744
+
745
+ 187
746
+ 00:15:09,690 --> 00:15:14,670
747
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
748
+
749
+ 188
750
+ 00:15:14,670 --> 00:15:16,350
751
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
752
+
753
+ 189
754
+ 00:15:16,350 --> 00:15:16,450
755
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
756
+
757
+ 190
758
+ 00:15:16,450 --> 00:15:18,610
759
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
760
+
761
+ 191
762
+ 00:15:18,610 --> 00:15:19,970
763
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
764
+
765
+ 192
766
+ 00:15:19,970 --> 00:15:21,110
767
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
768
+
769
+ 193
770
+ 00:15:21,110 --> 00:15:21,110
771
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
772
+
773
+ 194
774
+ 00:15:21,110 --> 00:15:23,830
775
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุง๏ฟฝ๏ฟฝุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
776
+
777
+ 195
778
+ 00:15:23,830 --> 00:15:24,850
779
+ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ ุงู„ุนุงู…ุฉ
780
+
781
+ 196
782
+ 00:15:24,850 --> 00:15:29,630
783
+ ุงู„ุนุงู…ุฉ
784
+
785
+ 197
786
+ 00:15:29,630 --> 00:15:38,300
787
+ ุงู„ุนุงู…ู„ู„ุนุจุฉ ุงู„ู…ุญุฏุฏุฉุŒ ุฅุฐุง ูƒู†ุช ุชุนูˆุฏ ู„ู„ุนุจุฉ ุงู„ู…ุญุฏุฏุฉ X1
788
+
789
+ 198
790
+ 00:15:38,300 --> 00:15:51,080
791
+ ุฑู‚ู… ุงู„ูุชูŠุงุช ุงู„ู„ูŠ ู‡ู… ุนูŠูˆู†ูŠูŠู† 12 ุฑู‚ู… ุงู„ูุชูŠุงุช 24 ุนูƒุณ
792
+
793
+ 199
794
+ 00:15:51,080 --> 00:16:00,980
795
+ N1 ุฑู‚ู… ุงู„ูุชูŠุงุช ููŠ ุงู„ู…ุฌู„ุฉ 120 ูˆุฑู‚ู… ุงู„ูุชูŠุงุช 180ู‡ุฐุง
796
+
797
+ 200
798
+ 00:16:00,980 --> 00:16:04,800
799
+ ู‡ูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃูƒุชุฑุงุฑูŠุฉ ูŠุนู†ูŠ ุงู„ู†ุณุจุฉ ุจุดูƒู„ ุนุงู… ููŠ ูƒู„
800
+
801
+ 201
802
+ 00:16:04,800 --> 00:16:11,740
803
+ ุณุงู…ุจู„ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ุชุณุชูŠุจูŠู‡ุง ุจุทู„ุน 12%
804
+
805
+ 202
806
+ 00:16:11,740 --> 00:16:18,180
807
+ ู‡ุฏุงุด ู…ุนู†ุงู‡ุง .. ู…ุนู†ุงู‡ุง IE in other words based on
808
+
809
+ 203
810
+ 00:16:18,180 --> 00:16:24,320
811
+ all 300 children the proportion of left handers is
812
+
813
+ 204
814
+ 00:16:24,320 --> 00:16:31,470
815
+ 12% ุฅุฐุง ุจุดูƒู„ ุนุงู… ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ุจูŠุณูˆูŠุด12
816
+
817
+ 205
818
+ 00:16:31,470 --> 00:16:39,030
819
+ % ุทูŠุจ ู„ูˆ ูƒุงู† ุฏูˆู„ 12% ูˆุนู†ุฏูŠ
820
+
821
+ 206
822
+ 00:16:39,030 --> 00:16:43,590
823
+ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ุงู„ left hand 12 female ู…ุน ูƒุฏู‡ ุฅูŠุด
824
+
825
+ 207
826
+ 00:16:43,590 --> 00:16:49,010
827
+ ุจุชูˆู‚ุน ูŠูƒูˆู† ุนุฏุฏ ุงู„ female ุจูŠุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑุงุก ู‡ู… 12%
828
+
829
+ 208
830
+ 00:16:49,010 --> 00:16:56,450
831
+ ุจุดูƒู„ ุนุงู… ู„ูˆ ุญูƒูŠุช ู„ูˆ
832
+
833
+ 209
834
+ 00:16:56,450 --> 00:17:02,040
835
+ ุญูƒูŠุช 12% ุจูŠุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑุงุกุงู„ูŠู†ุงุช ุงุชู†ุงุด ุงุชู†ุงุด
836
+
837
+ 210
838
+ 00:17:02,040 --> 00:17:05,100
839
+ ุงุชู†ุงุด
840
+
841
+ 211
842
+ 00:17:05,100 --> 00:17:11,840
843
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
844
+
845
+ 212
846
+ 00:17:11,840 --> 00:17:14,860
847
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
848
+
849
+ 213
850
+ 00:17:14,860 --> 00:17:15,320
851
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
852
+
853
+ 214
854
+ 00:17:15,320 --> 00:17:15,320
855
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
856
+
857
+ 215
858
+ 00:17:15,320 --> 00:17:15,320
859
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
860
+
861
+ 216
862
+ 00:17:15,320 --> 00:17:17,240
863
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
864
+
865
+ 217
866
+ 00:17:17,240 --> 00:17:28,260
867
+ ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด ุงุชู†ุงุด
868
+
869
+ 218
870
+ 00:17:31,180 --> 00:17:37,820
871
+ ุฃู†ุง ูƒุงู† ุทุงู„ุจ ุงู„ู†ุฌุงุญุงุช 40% ููŠ ุงู„ุฎู…ุณูŠู† ู…ุด ู‡ูŠูƒ ู‡ุฐู‡ ุงู„
872
+
873
+ 219
874
+ 00:17:37,820 --> 00:17:41,620
875
+ 12 ู‡ุฏูˆู„ ุจุฒูŠุฑ ู„ุงู† ู„ูŠุด ุนู„ุงู‚ุฉ ุงูŠู‡ ุจู‡ู… ู‡ุฐู‡ ุงู„ 12%
876
+
877
+ 220
878
+ 00:17:41,620 --> 00:17:48,660
879
+ overall ู‡ุฐู‡ ู„ูƒู„ ุงู„ sample ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ู„ูŠ ..
880
+
881
+ 221
882
+ 00:17:48,660 --> 00:17:52,420
883
+ ูŠุนู†ูŠ ุงูุชุฑุถ ุงู†ุชูˆุง I males ูˆ females ุฏู…ุฌู†ุงู‡ู… ู…ุน ุจุนุถ
884
+
885
+ 222
886
+ 00:17:52,420 --> 00:17:57,820
887
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑ 12% ุงู„ females ุนุฏุฏู‡ู… 120 ู…ุน ูƒุฏู‡
888
+
889
+ 223
890
+ 00:17:57,820 --> 00:18:01,920
891
+ ุฌุฏูŠุด ู†ุณุจุฉ ุงู„ females ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰ุจุชูˆู‚ุน
892
+
893
+ 224
894
+ 00:18:01,920 --> 00:18:08,040
895
+ ุนุฏุฏู‡ู… ู‡ูŠ ุงู„ number of females 120ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ุฅูŠุด
896
+
897
+ 225
898
+ 00:18:08,040 --> 00:18:13,260
899
+ ุจุชูˆู‚ุน ูŠูƒูˆู† ุนุฏุฏู‡ู…ุŸ ุงู„ 120 ููŠ 12%ุŒ ู…ุด ู‡ูŠูƒุŸ ุฅูŠุด
900
+
901
+ 226
902
+ 00:18:13,260 --> 00:18:22,620
903
+ ุจุชุณุงูˆูŠุŸ 14.4 ุทูŠุจ ุจุงู„ู†ุณุจุฉ ู„ู€ males ุฅูŠุด ุนุฏุฏู‡ู…ุŸ 180
904
+
905
+ 227
906
+ 00:18:22,620 --> 00:18:27,300
907
+ ุฅูŠุด ุจุชูˆู‚ุน ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูŠ ู‡ุฐู‡ ุงู„ูŠุณุฑุงุกุŸ ุงู„ 180 ููŠ 12%ุŒ
908
+
909
+ 228
910
+ 00:18:27,300 --> 00:18:30,760
911
+ ู…ุด ู‡ูŠูƒุŸ ุจูŠุทู„ุน 21.6
912
+
913
+ 229
914
+ 00:18:33,510 --> 00:18:38,030
915
+ ุฅุฐุง ู‡ุงูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ู€ expected frequency ุจุชุทู„ุน ุงู„
916
+
917
+ 230
918
+ 00:18:38,030 --> 00:18:42,850
919
+ overall proportion ูˆุจุถุฑุจู‡ุง ููŠ number of males ุฃูˆ
920
+
921
+ 231
922
+ 00:18:42,850 --> 00:18:49,130
923
+ ุงู„ raw total ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุงู„ุงู†
924
+
925
+ 232
926
+ 00:18:49,130 --> 00:19:00,710
927
+ ุงู„ 12 108 24 156 ู‡ุฏูˆู„ ุฅูŠุด ุณู…ู†ุงู‡ู… observed ุทุจ ุงู„
928
+
929
+ 233
930
+ 00:19:00,710 --> 00:19:02,510
931
+ expected ุทู„ุนู†ุง ู‡ุฐู‡ ุจุชุณุงูˆูŠ
932
+
933
+ 234
934
+ 00:19:05,100 --> 00:19:11,480
935
+ 14.4 ู…ุด ู‡ูŠูƒ ู‡ุฐูˆู„ ุงู†ุง ู…ุชูˆู‚ุน ูŠูƒูˆู†ูˆุง ู…ุงู„ู‡ู… ุจูŠุณุชุฎุฏู…ูˆุง
936
+
937
+ 235
938
+ 00:19:11,480 --> 00:19:18,260
939
+ ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ู…ู† ุงู„ female ูˆู‡ู†ุง ุทู„ุนูˆุง 21.6 ู…ุด ู‡ูŠูƒ
940
+
941
+ 236
942
+ 00:19:18,260 --> 00:19:22,220
943
+ ุงู„ู„ูŠ ุงู†ุง ุงุชูˆู‚ุนุชู‡ ุงู„ left ุทุจ ูˆ ุงู„ right ุงูŠุด ู‡ูŠูƒูˆู†
944
+
945
+ 237
946
+ 00:19:22,220 --> 00:19:30,140
947
+ ุงู„ู…ูƒุงู…ู„ุฉ ู„ู‡ุฐู‡ ู…ุธุจูˆุท ุงูˆ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ 12% overall
948
+
949
+ 238
950
+ 00:19:30,140 --> 00:19:35,180
951
+ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ูŠุณุฑู‰ ุงูŠุด ุจุชุงู…ู„ ุงู„ูŠู…ู†ู‰ 88ุฎู„ุงุต ุฃุถุฑุจ ุงู„ู€
952
+
953
+ 239
954
+ 00:19:35,180 --> 00:19:42,980
955
+ 88 ููŠ ุงู„ู€ 120 ุจูŠุนุทูŠูƒ 105 ุฃูˆ ุฃุทุฑุญ 120 ู†ู‚ุต 114.4 ุฅุฐุง
956
+
957
+ 240
958
+ 00:19:42,980 --> 00:19:51,760
959
+ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุทู„ุน ู…ู† ูˆูŠู†ุŸ 120 minus 14.4 ุทูŠุจ ุงู„ู„ูŠ
960
+
961
+ 241
962
+ 00:19:51,760 --> 00:19:56,700
963
+ ุจุนุฏู‡ุŸ ุทู„ุน 21.6 expected frequency ู„ู„ู…ูŠุฉ ุงู„ู„ูŠ
964
+
965
+ 242
966
+ 00:19:56,700 --> 00:20:00,400
967
+ ุจุชุณุชุฎุฏู… ุงู„ู€ left ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ุงู„ rightุงู„ุจุงู‚ูŠ ู…ุด
968
+
969
+ 243
970
+ 00:20:00,400 --> 00:20:03,440
971
+ ู‡ูŠูƒ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ุญูƒูŠุช ุชู„ุงุชูŠู† ู†ุฌุญูˆุง ู…ู†ูƒ ูˆุนุฏุฏูƒูˆุง
972
+
973
+ 244
974
+ 00:20:03,440 --> 00:20:08,920
975
+ ุฎู…ุณูŠู†ุŒ ุฅูŠุด ุจุชุจู‚ู‰ ู…ุด ู†ุงุฌุญุŸ ุนุดุฑูŠู† ุงู„ tackle ุชุจุนุชู‡ู…ุŒ
976
+
977
+ 245
978
+ 00:20:08,920 --> 00:20:14,320
979
+ ูู‚ุงู„ 180 minus 21.6 ุจูŠุญุทูŠู†ูŠ 158 ู‡ุฏูˆู„ ุงู„ู„ูŠ ุฃู†ุง
980
+
981
+ 246
982
+ 00:20:14,320 --> 00:20:19,700
983
+ ู…ุนู„ู…ู‡ู… ุจุงู„ุฃุณูˆุฏ ู†ุณู…ูŠู‡ู… expected frequency ุฅุฐุง ููŠ
984
+
985
+ 247
986
+ 00:20:19,700 --> 00:20:26,220
987
+ ุนู†ุฏูŠ observed ูˆููŠ expected ูƒู„ ุญุนู…ู„ู‡ ู‡ุญุณุจ ุงู„ chi
988
+
989
+ 248
990
+ 00:20:26,220 --> 00:20:26,900
991
+ -square value
992
+
993
+ 249
994
+ 00:20:34,080 --> 00:20:37,440
995
+ ู„ุญุธุฉ summation ู„ู€ all cells ุจุงุฎุฏ ูƒู„ cell ู…ู† ุงู„
996
+
997
+ 250
998
+ 00:20:37,440 --> 00:20:45,180
999
+ table ูุงู„ chi-square ุงู„ stat ู‡ุชุณุงูˆูŠ ุฃูˆู„
1000
+
1001
+ 251
1002
+ 00:20:45,180 --> 00:20:51,760
1003
+ ูˆุงุญุฏุฉ 12 ู‡ุฐุง ุงู„ observe ู…ุด ู‡ูŠูƒ ุงูŠุด ุงู„ expected ู„ู‡ุง
1004
+
1005
+ 252
1006
+ 00:20:51,760 --> 00:20:59,060
1007
+ 14.4 squared ุนู„ู‰
1008
+
1009
+ 253
1010
+ 00:20:59,060 --> 00:21:05,050
1011
+ ู†ูุณ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ first cell second cellู…ุงุฐุง
1012
+
1013
+ 254
1014
+ 00:21:05,050 --> 00:21:11,030
1015
+ ูŠุชุณุงูˆูŠ 108 105ยฒ
1016
+
1017
+ 255
1018
+ 00:21:11,030 --> 00:21:15,370
1019
+ ุนู„ู‰
1020
+
1021
+ 256
1022
+ 00:21:15,370 --> 00:21:21,750
1023
+ 105 ุฒูŠ ู…ุง ุนู…ู„ุช ุงู„ second cell ุจุนู…ู„ ู„ู…ู†ุŸ ู„ู„ุจุงู‚ุฏุฉ 24
1024
+
1025
+ 257
1026
+ 00:21:21,750 --> 00:21:25,710
1027
+ -21
1028
+
1029
+ 258
1030
+ 00:21:25,710 --> 00:21:31,270
1031
+ plus
1032
+
1033
+ 259
1034
+ 00:21:31,270 --> 00:21:33,130
1035
+ the last one 156
1036
+
1037
+ 260
1038
+ 00:21:41,160 --> 00:21:47,380
1039
+ -158 ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุญุณุจ ุงู„ over all proportion X1 plus
1040
+
1041
+ 261
1042
+ 00:21:47,380 --> 00:21:52,240
1043
+ X2 ุนู„ู‰ N1 plus N2 ุฃู†ุง ู…ู‡ุชู… ุจุงู„ left handed ุจุงู„ุชุงู„ุฉ
1044
+
1045
+ 262
1046
+ 00:21:52,240 --> 00:21:58,440
1047
+ 12 plus 24 ู‡ุฐูˆ ุงู„ู…ุฌู…ูˆุน ุงู„ู„ูŠ ุจุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑู‰ ููŠ ูƒู„
1048
+
1049
+ 263
1050
+ 00:21:58,440 --> 00:22:01,480
1051
+ ุงู„ sample divide by ุงู„ total ุชุจุน ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ
1052
+
1053
+ 264
1054
+ 00:22:01,480 --> 00:22:10,370
1055
+ 300 ุทู„ุน 12%ุจูŠุทู„ุน ู†ุณุจุฉ ุงู„ุงู†ุงุซ ูˆุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…
1056
+
1057
+ 265
1058
+ 00:22:10,370 --> 00:22:14,770
1059
+ ุงู„ูŠุฏ ูŠูˆุตู„ ู„ 12% ุทุจ ู…ุด ุจุชูˆู‚ุน ูŠูƒูˆู† left ููŠ ุงู„ fifth
1060
+
1061
+ 266
1062
+ 00:22:14,770 --> 00:22:21,590
1063
+ male ู‡ู… 120 ุนุฏุฏู‡ู… 120ุŒ ู…ุด ู‡ูŠูƒ ุงู„ุนุงู… 12% ู…ู† ุงู„ 120
1064
+
1065
+ 267
1066
+ 00:22:21,590 --> 00:22:28,150
1067
+ ุจูŠุทู„ุน 14.4% ูˆู„ู„ู…ูŠู„ ู†ูุณ ุงู„ุฌุซุฉ 180 ููŠ ุงู„ 12 ุจูŠุทู„ุน 21
1068
+
1069
+ 268
1070
+ 00:22:28,150 --> 00:22:32,910
1071
+ .6% ูˆุทู„ุนู†ุง ุงู„ complement ุทู„ุนุช ู„ู„ right handers
1072
+
1073
+ 269
1074
+ 00:22:34,520 --> 00:22:37,620
1075
+ ุจุนุฏูŠู† ุงุชุทุจู‚ุช ุงู„ู‚ุงู†ูˆู† ุนู†ุฏูƒ if observed minus if
1076
+
1077
+ 270
1078
+ 00:22:37,620 --> 00:22:43,140
1079
+ expected squared ุน ุงู„ if expected ุจุฌู…ุน ู‡ุฏูˆู„ ุงู„ุฌูˆุงุจ
1080
+
1081
+ 271
1082
+ 00:22:43,140 --> 00:22:52,580
1083
+ ุจุทู„ุน point seven five seven six ู‡ุงุฏ ุงู„ value of
1084
+
1085
+ 272
1086
+ 00:22:52,580 --> 00:22:58,740
1087
+ the chi-square statistic ุงู„ critical value ุทู„ุนู†ุงู‡ุง
1088
+
1089
+ 273
1090
+ 00:22:58,740 --> 00:23:03,020
1091
+ ู…ู† ุดูˆูŠุฉ ู„ูˆ alpha five percent one degrees of
1092
+
1093
+ 274
1094
+ 00:23:03,020 --> 00:23:10,970
1095
+ freedom3.84% ูƒู…ุฌู„ุฏ ุนุงู… ู†ู‚ู„ ุงู„ุญุจูˆุชุณูŠุฒ ุงู„ู†ุงู„ูŠุฉ ุฅุฐุง
1096
+
1097
+ 275
1098
+ 00:23:10,970 --> 00:23:17,450
1099
+ ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุฃูƒุชุฑ ู…ู† 3.84% ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
1100
+
1101
+ 276
1102
+ 00:23:17,450 --> 00:23:23,690
1103
+ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉุŸ ู‡ุฐู‡
1104
+
1105
+ 277
1106
+ 00:23:23,690 --> 00:23:29,920
1107
+ ุงู„ู‚ูŠู…ุฉ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฌุงุฑูŠุฉูˆู‡ู†ุง ูƒุงูŠ ุณูƒูˆูŠุฑ
1108
+
1109
+ 278
1110
+ 00:23:29,920 --> 00:23:35,680
1111
+ ุงู„ุณุชุงุชูŠุณุชูŠูƒ 0.7576 ุฃู‚ู„ ู…ู† ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ุฃู„ูุฉุŒ ู„ุฐุง
1112
+
1113
+ 279
1114
+ 00:23:35,680 --> 00:23:40,100
1115
+ ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชู‚ูุฒ ุนู† ุงู„ู‡ูŠุจูˆุชุณูŠุฒุŒ ุจุฑูุถ ุงู„ุณูุฑูŠุฉ
1116
+
1117
+ 280
1118
+ 00:23:40,100 --> 00:23:46,340
1119
+ ุงู„ุตูุฑูŠุฉ. ุฅูŠุด ุงู„ conclusionุŸ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฃู†
1120
+
1121
+ 281
1122
+ 00:23:46,340 --> 00:23:51,480
1123
+ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฎุชู„ูุฉุŒ ู…ุงุนูƒุฏุง
1124
+
1125
+ 282
1126
+ 00:23:51,480 --> 00:23:56,170
1127
+ ู…ุนุงู‡ู… ุจูŠุณูˆุง ุจุนุถู…ุน ูƒุฏู‡ ู…ุงููŠุด significant difference
1128
+
1129
+ 283
1130
+ 00:23:56,170 --> 00:24:03,110
1131
+ between males and females who used left hand ู‡ุฐุง
1132
+
1133
+ 284
1134
+ 00:24:03,110 --> 00:24:06,970
1135
+ ุงู„ุณุคุงู„ ู…ู…ูƒู† ู†ุญู„ู‡ ุนู„ู‰ ุดุจุทุฉ ุงู„ุนุดุฑุฉ ูˆ ู‡ูŠุนุทูŠูƒ ุงู„ same
1136
+
1137
+ 285
1138
+ 00:24:06,970 --> 00:24:12,570
1139
+ result ููŠ
1140
+
1141
+ 286
1142
+ 00:24:12,570 --> 00:24:15,790
1143
+ ุฃูŠ ุณุคุงู„ุŸ
1144
+
1145
+ 287
1146
+ 00:24:15,790 --> 00:24:22,370
1147
+ ุทูŠุจ ู†ูุชุญ ุงู„ practice ุนู„ู‰ ุดุจุทุฉ
1148
+
1149
+ 288
1150
+ 00:24:26,660 --> 00:24:41,320
1151
+ ุดุจุท ุงู„ 11 ุดูˆูŠู‡ ุดูˆูŠุฉ ู…ุณุงุก ุทู„ุน
1152
+
1153
+ 289
1154
+ 00:24:41,320 --> 00:24:42,360
1155
+ ุนู„ู‰ 11 9
1156
+
1157
+ 290
1158
+ 00:25:12,230 --> 00:25:13,990
1159
+ ุงู„ุชูŠุงุจุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง
1160
+
1161
+ 291
1162
+ 00:25:27,680 --> 00:25:38,360
1163
+ ูู‰ ุนู†ุฏู‰ 41 61 109 89 ูˆุทุงู„ุจ
1164
+
1165
+ 292
1166
+ 00:25:38,360 --> 00:25:46,680
1167
+ ุงู„ test ูƒูŠู‡ ุจุญุณุจ ุงู„ test ุนุดุงู† ุฃูˆู„ ุฎุทุจุฉ ุฃุนู…ู„ู‡ุง ุฃุทู„ุน
1168
+
1169
+ 293
1170
+ 00:25:46,680 --> 00:25:52,160
1171
+ ุงู„ B- ุงู†ุง ุจุญุงูˆู„ ุจุณ ุฃุนูŠุฏ ู†ูุณ ุงู„ example ุงู„ู„ู‰ ูุงุช
1172
+
1173
+ 294
1174
+ 00:25:52,160 --> 00:25:57,360
1175
+ ุงุชุฃูƒุฏ ุฃู† ุงู„ Sips ู…ุนุฑูˆูุฉ ุจุงู„ู†ุณุจุฉ ู„ู†ุงุจุทู„ุน ุงู„ู€
1176
+
1177
+ 295
1178
+ 00:25:57,360 --> 00:26:07,060
1179
+ overall proportion ุงู„ู„ูŠ 41 plus 109 ู„ูˆ ุชู‚ุฑุฃ ุงู„ุณุคุงู„
1180
+
1181
+ 296
1182
+ 00:26:07,060 --> 00:26:09,140
1183
+ ู…ู† ุงู„ุฃูˆู„ุŒ ุฃู†ุง ู…ุงุชุฏุด ุฃุถุงูŠู‚ ูˆู‚ุช ููŠ ู‚ุฑุงุกุฉ ุงู„ุณุคุงู„ ู„ุฅู†
1184
+
1185
+ 297
1186
+ 00:26:09,140 --> 00:26:12,920
1187
+ ุฃู†ุง ุจุณ ุชุงุฎุฏ ุงู„ example ู†ุนุฑู ูƒูŠู ู†ุญู„
1188
+
1189
+ 298
1190
+ 00:26:26,790 --> 00:26:29,410
1191
+ ุฅุฐุง ู†ูุชุฑุถ ู‡ุงูŠ ุงู„ exam ุงู„ู„ูŠ ุนู†ุฏูŠ ู…ูˆุฌูˆุฏุŒ ุญุฏ ูŠู‚ุฑุฃ
1192
+
1193
+ 299
1194
+ 00:26:29,410 --> 00:26:36,530
1195
+ ู„ูŠู‡ุŸ ุญุฏ ูŠู‚ุฑุฃ ู„ูŠู‡ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุŸ
1196
+
1197
+ 300
1198
+ 00:26:36,530 --> 00:26:37,150
1199
+ advertisement
1200
+
1201
+ 301
1202
+ 00:26:47,340 --> 00:26:53,940
1203
+ ุงู„ุฏุฑุงุณุฉ ุชู… ุชุฌุฑูŠุจู‡ุง ู„ุชุชุนุงู…ู„ ู…ุน ุฅุฐุง ูƒุงู†ุช ุงู„ูˆุงุถุญุฉ ุฃู†
1204
+
1205
+ 302
1206
+ 00:26:53,940 --> 00:27:00,640
1207
+ ุงู„ู…ุดุงู‡ุฏูŠู† ูˆุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ูƒุงู†ูˆุง
1208
+
1209
+ 303
1210
+ 00:27:00,640 --> 00:27:05,600
1211
+ ู…ุญุฏูˆุฏูŠู† ูˆูƒุงู†ุช ูƒู„ู‡ุง ู…ุฌู…ูˆุนุฉ ู…ู† 300 ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1212
+
1213
+ 304
1214
+ 00:27:05,600 --> 00:27:09,120
1215
+ ูˆุงู„ู…ุดุงู‡ุฏูŠู†
1216
+
1217
+ 305
1218
+ 00:27:09,120 --> 00:27:09,420
1219
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1220
+
1221
+ 306
1222
+ 00:27:09,420 --> 00:27:13,600
1223
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1224
+
1225
+ 307
1226
+ 00:27:13,600 --> 00:27:15,740
1227
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1228
+
1229
+ 308
1230
+ 00:27:15,740 --> 00:27:15,740
1231
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1232
+
1233
+ 309
1234
+ 00:27:15,740 --> 00:27:15,760
1235
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1236
+
1237
+ 310
1238
+ 00:27:15,760 --> 00:27:17,160
1239
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุงู„ู†ุณุจุฉ ู„ู„ุฅู†ุณุงู†
1240
+
1241
+ 311
1242
+ 00:27:17,160 --> 00:27:24,440
1243
+ ุงู„ุฎุงุต ุจูƒ ูˆู…ุง ุฅุฐุง ู„ู… ุชูƒู† ู…ุณุชุฎุฏู…ู‹ุง ู„ุฅูŠู‚ุงู ุงู„ูˆุตูˆู„ ุฅู„ู‰
1244
+
1245
+ 312
1246
+ 00:27:24,440 --> 00:27:24,940
1247
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1248
+
1249
+ 313
1250
+ 00:27:24,940 --> 00:27:25,240
1251
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1252
+
1253
+ 314
1254
+ 00:27:25,240 --> 00:27:27,580
1255
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1256
+
1257
+ 315
1258
+ 00:27:27,580 --> 00:27:27,860
1259
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1260
+
1261
+ 316
1262
+ 00:27:27,860 --> 00:27:29,380
1263
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1264
+
1265
+ 317
1266
+ 00:27:29,380 --> 00:27:31,460
1267
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1268
+
1269
+ 318
1270
+ 00:27:31,460 --> 00:27:31,460
1271
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1272
+
1273
+ 319
1274
+ 00:27:31,460 --> 00:27:33,220
1275
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1276
+
1277
+ 320
1278
+ 00:27:33,220 --> 00:27:41,900
1279
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุต
1280
+
1281
+ 321
1282
+ 00:27:45,380 --> 00:27:48,300
1283
+ ูˆุจุญูƒูŠ how can we calculate the test statistic ูƒูŠู
1284
+
1285
+ 322
1286
+ 00:27:48,300 --> 00:27:53,020
1287
+ ุชุญุณุจ ุงู„ test statistic ู‡ูˆ ุจูŠุญูƒูŠ ููŠ ุงู„ุณุคุงู„ ุงู†ู‡ู…
1288
+
1289
+ 323
1290
+ 00:27:53,020 --> 00:27:58,540
1291
+ independent ูˆู„ุง ู„ุง ุงู…ุง ุจุญูƒูŠ ููŠ ุงู„ H0 ุงู„ two
1292
+
1293
+ 324
1294
+ 00:27:58,540 --> 00:28:04,380
1295
+ variables are
1296
+
1297
+ 325
1298
+ 00:28:04,380 --> 00:28:08,960
1299
+ independent ุงูˆ
1300
+
1301
+ 326
1302
+ 00:28:08,960 --> 00:28:14,000
1303
+ ุจุญูƒูŠ ุงู„ proportions are the same ุงุฐุง ููŠ ุนู†ุฏ ุงู„ู…ูŠู„
1304
+
1305
+ 327
1306
+ 00:28:14,650 --> 00:28:18,170
1307
+ while female either identify or couldn't identify
1308
+
1309
+ 328
1310
+ 00:28:18,170 --> 00:28:29,850
1311
+ ูุงู„ู€ B ุฏูŠ in general ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ X1 plus ุฅูŠุด
1312
+
1313
+ 329
1314
+ 00:28:29,850 --> 00:28:33,330
1315
+ ุฑุฃูŠูƒูˆุงุŸ plus one ูˆู„ุง one oh nine ูˆู„ุง plus sixty
1316
+
1317
+ 330
1318
+ 00:28:33,330 --> 00:28:44,510
1319
+ oneุŸ ุฅูŠุด ุฑุฃูŠูƒูˆุงุŸ ูŠุนู†ูŠ ุนู…ู„ู‡ุง plus sixty oneูุจุชุทู„ุน
1320
+
1321
+ 331
1322
+ 00:28:44,510 --> 00:28:50,170
1323
+ ุงู„ุณุคุงู„ ุฅูŠุด ุญูƒู‰ุŸ The term whether brand awareness
1324
+
1325
+ 332
1326
+ 00:28:50,170 --> 00:28:56,890
1327
+ of female TV viewers and gender ูˆุจุชุดูˆู ุนู„ุงู‚ุชู‡ุง ุฏู‡
1328
+
1329
+ 333
1330
+ 00:28:56,890 --> 00:29:05,970
1331
+ ู…ุน ุญุฏู‡ุง ูˆู‚ุงู„ุช 41 plus 109 ุนู„ู‰ N1 plus N2 ูˆุฅูŠุด
1332
+
1333
+ 334
1334
+ 00:29:05,970 --> 00:29:14,050
1335
+ ู…ุฌู…ูˆุน ุงู„ identifiers ู‡ู†ุง 102 ูˆุงู„ู„ูŠ ุชุญุช192 ู…ุฌู…ูˆุนุฉ
1336
+
1337
+ 335
1338
+ 00:29:14,050 --> 00:29:21,250
1339
+ ู…ุงุฌุฏุฏุงุด 300 ู…ุด ู…ุงุทู„ุนูˆุง ู‡ูŠูƒ 150
1340
+
1341
+ 336
1342
+ 00:29:21,250 --> 00:29:27,590
1343
+ ุนู„ู‰ 300 ุนู„ู‰ ู†ุต ุงุฏูˆู„
1344
+
1345
+ 337
1346
+ 00:29:27,590 --> 00:29:34,350
1347
+ F observed ุงู„ expected ู‡ู†ุง 102 ู†ุตู‡ู… identifier
1348
+
1349
+ 338
1350
+ 00:29:34,350 --> 00:29:38,570
1351
+ ู…ุธุจูˆุท ู…ู† ุงู„ู…ูŠู„ ู†ุต ู‡ุฏูˆู„ ู…ุงุฌุฏุฏุงุด
1352
+
1353
+ 339
1354
+ 00:29:41,780 --> 00:29:47,900
1355
+ ุงู„ู†ุต ุงู„ู€ 102 ู…ุดุงูƒู„ุฉ ู…ู†ู‡ุง 50% ููŠ ุนุฏุฏ ุงู„ุงู†ุฏูุงูŠุฑ 102
1356
+
1357
+ 340
1358
+ 00:29:47,900 --> 00:29:53,560
1359
+ ูˆุทู„ุน 51ุŒ ูˆุงู„ู„ูŠ ู‡ู†ุง ุฅูŠุด ู‡ูŠูƒู… ุจุฑุถู‡ุŸ 51ุŒ ุทูŠุจ ุงู„ู„ูŠ
1360
+
1361
+ 341
1362
+ 00:29:53,560 --> 00:30:01,640
1363
+ ุจุนุฏู‡ุŸ ุงู„ู†ุต ุงู„ู€ 192 96ุŒ
1364
+
1365
+ 342
1366
+ 00:30:01,640 --> 00:30:09,780
1367
+ ุฅูŠุด ุจุชุงู… ู…ุชูˆู‚ุน ู„ู‡ู…ุŸ 96ุŒ ู‡ูŠ ุทู„ุนุช ู†ุตุŒ ูุงู„ู†ุต ุณู‡ู„ุฉ ุทูŠุจ
1368
+
1369
+ 343
1370
+ 00:30:09,780 --> 00:30:21,470
1371
+ ุงุญุณุจ ุงู„ KSQR ุงู„ statisticู…ุงุฐุง ุณุชุญุตู„ุŸ 41-51ยฒ ุนู„ู‰ 51
1372
+
1373
+ 344
1374
+ 00:30:21,470 --> 00:30:29,490
1375
+ plus 61-51ยฒ ุจูƒู…ู„ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
1376
+
1377
+ 345
1378
+ 00:30:46,200 --> 00:30:50,720
1379
+ ู…ุฌู…ูˆุน ู…ูŠู† ู„ุบู„ุทุŸ
1380
+
1381
+ 346
1382
+ 00:30:50,720 --> 00:30:57,120
1383
+ ุงู‡ ู‡ุฏูˆู„ ุงู†ุง
1384
+
1385
+ 347
1386
+ 00:30:57,120 --> 00:31:02,480
1387
+ ู„ุฃุฎุจุท ููŠ ู‡ุฏูˆู„ ุตุญุŸ ู‡ุฏูˆู„ ู„ู‚ุงุด ู…ุฌู…ูˆุญู‡ู… 108 ู†ูุณุงู† ุงู†ุง
1388
+
1389
+ 348
1390
+ 00:31:02,480 --> 00:31:12,470
1391
+ ุงุตู„ุง 108 ู†ูุณุงู†ู†ูุณู‡ ู…ู‚ุฏุงุด 99 ุฅุฐุง
1392
+
1393
+ 349
1394
+ 00:31:12,470 --> 00:31:19,230
1395
+ ุจุตูŠุฑ 109-99 89
1396
+
1397
+ 350
1398
+ 00:31:19,230 --> 00:31:27,770
1399
+ -99 ุชุนู…ู„
1400
+
1401
+ 351
1402
+ 00:31:27,770 --> 00:31:33,540
1403
+ ุฅูŠู‡ ู„ูƒู„ ุณู„ ู‡ูˆ ุชุทู„ุน ุงู„ุฌูˆุงุจุฅูŠุด ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ
1404
+
1405
+ 352
1406
+ 00:31:33,540 --> 00:31:39,000
1407
+ ู…ูˆุฌูˆุฏุŸ ุจุชุญุณุจูŠู‡ุง ููŠ ุงู„ุจูŠุช ุจุฑุงุญุชูƒ ุทุงู„ุน ุงู„ุฌูˆุงุจ ุณุคุงู„
1408
+
1409
+ 353
1410
+ 00:31:39,000 --> 00:31:44,380
1411
+ 119 ุฑู‚ู… 2 ุงูŠู‡ุŸ
1412
+
1413
+ 354
1414
+ 00:31:44,380 --> 00:31:52,660
1415
+ ุงุชุฃูƒุฏ ุงู† ุงู„ุฌูˆุงุจ ุงูŠู‡ุŸ ุฅุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุญุณุจ ุงู„ B' 41
1416
+
1417
+ 355
1418
+ 00:31:52,660 --> 00:32:02,540
1419
+ plus 109 divide by 300 ุจุทู„ุน 150 ุนู„ู‰ 32 ุจุทู„ุน ู†ุตุงู„ู†ุต
1420
+
1421
+ 356
1422
+ 00:32:02,540 --> 00:32:08,020
1423
+ ู‡ุฐู‡ ุจุถุฑูˆู 102 ุจุทู„ุน 51 ูˆ ู‡ู†ุง ุจุทู„ุน 99 ุจุนุฏูŠู† ุงุนู…ู„ุช
1424
+
1425
+ 357
1426
+ 00:32:08,020 --> 00:32:13,360
1427
+ ู„ูƒู„ cell ู‡ุฐุง ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ุณุคุงู„ 11 9 ุงู„ุชุจู† ุงู„ุจุนุฏ ู‡ูˆ
1428
+
1429
+ 358
1430
+ 00:32:13,360 --> 00:32:19,120
1431
+ 11 11 ู„ุญุธุฉ ู‡ุฐุง three by three ู…ุธุจูˆุท ู‡ุฐุง three rows
1432
+
1433
+ 359
1434
+ 00:32:19,120 --> 00:32:24,900
1435
+ ูˆ three column ู‡ุฐุง ู„ู„ู„ู‚ุงุก ุงู„ุฌุงูŠ ู‡ุฐุง
1436
+
1437
+ 360
1438
+ 00:32:24,900 --> 00:32:29,480
1439
+ ู„ู„ู„ู‚ุงุก ุงู„ุฌุงูŠุทุงู„ุน ุงู„ุชุงุจุน ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ
1440
+
1441
+ 361
1442
+ 00:32:29,480 --> 00:32:33,240
1443
+ ุจุฑุถู‡ three by threeุŒ ู…ุด ู‡ูŠูƒุŸ three rows, three
1444
+
1445
+ 362
1446
+ 00:32:33,240 --> 00:32:39,860
1447
+ columns ู„ู„ู‚ุงูŠู„ ุงู„ุฌุงูŠุฉ ุจูŠู…ูƒู†ูƒ
1448
+
1449
+ 363
1450
+ 00:32:39,860 --> 00:32:46,260
1451
+ ููŠ ุงู„ุจูŠุช ุชุญู„ูŠ 11 ุชุณุนุฉุŒ ุงู†ุช ูƒู…ู„ู‡ ูุจุญูƒูŠ at five
1452
+
1453
+ 364
1454
+ 00:32:46,260 --> 00:32:48,780
1455
+ percent level of significance ุฅูŠุด ุงู„ critical
1456
+
1457
+ 365
1458
+ 00:32:48,780 --> 00:32:57,090
1459
+ valueุŸ ุงู„ู„ูŠ ุชูˆุญู„ู†ุงู‡ุงุŒ ู…ุธุจูˆุทุŸุงู„ degrees of freedom
1460
+
1461
+ 366
1462
+ 00:32:57,090 --> 00:33:03,490
1463
+ ูˆุงุญุฏ ุทุจ ูŠุนู†ูŠ ุงู„ value ุทู„ุนุช ุญูƒูŠู†ุง five point
1464
+
1465
+ 367
1466
+ 00:33:03,490 --> 00:33:11,610
1467
+ something ู…ุด ู‡ูŠูƒ ุญูƒูŠู†ุง ุงู„ุฌูˆุงุจ five point nine four
1468
+
1469
+ 368
1470
+ 00:33:11,610 --> 00:33:20,110
1471
+ one eight ุงุฐุง
1472
+
1473
+ 369
1474
+ 00:33:20,110 --> 00:33:24,150
1475
+ ุงู†ุช three point eight four ูˆ ุจุณุชุฎุฏู… ุงู„ุณุคุงู„ ุงู„ู„ูŠ
1476
+
1477
+ 370
1478
+ 00:33:24,150 --> 00:33:24,550
1479
+ ุจุนุฏู‡
1480
+
1481
+ 371
1482
+ 00:33:29,390 --> 00:33:33,910
1483
+ ูŠุฌุจ ุฃู† ุชูƒูˆู†ูŠ ู…ุชุฃูƒุฏุฉ ุฃู† ุงู„ุชุทุจูŠู‚ุงุช ุงู„ู…ุชูˆู‚ุนุฉ ุชูƒูˆู†
1484
+
1485
+ 372
1486
+ 00:33:33,910 --> 00:33:39,090
1487
+ ุตุบูŠุฑุฉ ุฌุฏู‹ุง ูˆูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฌู‡ ุฅู„ู‰ ุทูŠุจ ูƒุจูŠุฑ ุทูŠุจ 1R
1488
+
1489
+ 373
1490
+ 00:33:39,090 --> 00:33:49,910
1491
+ ู…ุงุฐุง ุฑุฃูŠูƒุŸ ู‡ู„ ุจุญูƒูŠ reject ูˆู„ุง ู„ุงุŸ
1492
+
1493
+ 374
1494
+ 00:33:49,910 --> 00:33:52,950
1495
+ ุงู„ุณุคุงู„
1496
+
1497
+ 375
1498
+ 00:33:52,950 --> 00:33:53,290
1499
+ ุงู„ุจุนุฏูŠ
1500
+
1501
+ 376
1502
+ 00:33:59,870 --> 00:34:02,510
1503
+ ุนู†ุฏ ุงุณุชุฎุฏุงู… ูƒุงูŠ ุณูƒูˆูŠุฑ ุชุงุณุช ู„ุฅุณุชุฎุฏุงู… ุงู„ุงู†ุชู‚ุงู„ ูŠุฌุจ
1504
+
1505
+ 377
1506
+ 00:34:02,510 --> 00:34:05,510
1507
+ ุฃู† ุชูƒูˆู† ุฃุนุฑู ุฃู† ุชุชุฌุงุฑุจ ุงู„ุชูุงุตูŠู„ ุงู„ุชูŠ ูƒุงู†ุช ุฃูƒุชุฑ
1508
+
1509
+ 378
1510
+ 00:34:05,510 --> 00:34:12,190
1511
+ ุตุบูŠุฑุฉ ุณุชุชุณุจุจ ููŠ ุฃุฎุทุงุก ูƒุจูŠุฑุฉ ู„ู€ Type I ู„ู…ุง ุงู„ูุฑูˆู‚ุงุช
1512
+
1513
+ 379
1514
+ 00:34:12,190 --> 00:34:16,110
1515
+ ุชูƒูˆู† ุตุบูŠุฑุฉ ุชุทู„ุน
1516
+
1517
+ 380
1518
+ 00:34:16,110 --> 00:34:21,310
1519
+ ุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ุตุบูŠุฑุฉ ูˆู„ุง ูƒุจูŠุฑุฉ ู„ู…ุง ุงู„ูุฑู‚ ุจูŠู†
1520
+
1521
+ 381
1522
+ 00:34:21,310 --> 00:34:27,270
1523
+ ุงู„observer ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠูƒูˆู† ุตุบูŠุฑ ุตุบูŠุฑ ุชุทู„ุน
1524
+
1525
+ 382
1526
+ 00:34:27,270 --> 00:34:35,560
1527
+ ุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ู…ุงู„ู‡ุงู„ู€ small ู…ุด ู‡ูŠูƒ ุชุจู‚ู‰ ุจุชูƒูˆู† Kยฒ
1528
+
1529
+ 383
1530
+ 00:34:35,560 --> 00:34:40,000
1531
+ ุตุบูŠุฑุฉ ุงู„ P value ุจุชูƒุจุฑ ูˆู„ุง ุจุชุตุบุฑ ุงู„ probability
1532
+
1533
+ 384
1534
+ 00:34:40,000 --> 00:34:45,060
1535
+ ุงู„ู„ูŠ
1536
+
1537
+ 385
1538
+ 00:34:45,060 --> 00:34:48,360
1539
+ ุฃู†ุง ุฃูุชุฑุถ ุญุงุฌุฉ ุฒูŠูƒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ P value ู„ู„ test
1540
+
1541
+ 386
1542
+ 00:34:48,360 --> 00:34:53,200
1543
+ ุงู„ู„ูŠ ุนู†ุฏูŠ ูƒูŠู ุฃุญุณุจ ุงู„ P valueุŸ
1544
+
1545
+ 387
1546
+ 00:34:53,200 --> 00:34:58,600
1547
+ ู‡ุงูŠ ุงู„ P value ุจุชุณุงูˆูŠ Kยฒ ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
1548
+
1549
+ 388
1550
+ 00:35:02,400 --> 00:35:06,060
1551
+ ู…ุธุจูˆุทุŸ ุฃู‡ ุจุงู„ุธุจุท ูƒู„ ู…ุง ุจุชูƒุจุฑ ุจุชู‚ู„ ุงู„ Bevel ู„ู…ุง
1552
+
1553
+ 389
1554
+ 00:35:06,060 --> 00:35:11,960
1555
+ ุจุฏุฎู„ ู„ุฌูˆู‡ ู…ุด ู‡ูŠูƒ ุชุทู„ุน ุนู„ู‰ ุงู„ table ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡
1556
+
1557
+ 390
1558
+ 00:35:11,960 --> 00:35:18,900
1559
+ ุชูˆู‡ ุจูŠู‡
1560
+
1561
+ 391
1562
+ 00:35:18,900 --> 00:35:26,700
1563
+ ุฃูƒุจุฑ ู…ู† 5.9 ุงู…ุดูŠ ุนู„ู‰ 5.9 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุชู‚ุฑูŠุจุง ๏ฟฝ๏ฟฝูˆุฌูˆุฏุฉ
1564
+
1565
+ 392
1566
+ 00:35:26,700 --> 00:35:31,620
1567
+ ุจูŠู† ุชู†ุชูŠู† ู‡ุฐูˆู„ ู…ุด ู‡ูŠูƒ5.9 ู…ู‚ุงู„ ุจูŠู† ู‡ุฐูŠู† ุงู„ุนู…ู„ูŠูŠู†
1568
+
1569
+ 393
1570
+ 00:35:31,620 --> 00:35:36,660
1571
+ ุจุธุจุท ู†ุทู„ุน ุงู„ P value ุฒูŠ ู…ุง ูƒู†ุง ู†ุทู„ุน ููŠ ุญุงู„ุฉ ุงู„ T
1572
+
1573
+ 394
1574
+ 00:35:36,660 --> 00:35:40,920
1575
+ ูุจุงู„ุชุงู„ูŠ P value ู…ุญุตูˆู„ุฉ ุจูŠู† ู…ูŠู† ูˆ ู…ูŠู†ุŸ ุจูŠู† ูˆุงุญุฏ ูˆ
1576
+
1577
+ 395
1578
+ 00:35:40,920 --> 00:35:47,640
1579
+ ุงุชู†ูŠู† ูุชุทู„ุน P value ุจูŠู† 1 ูˆ 2% ุทูŠุจ ุงู„ P value
1580
+
1581
+ 396
1582
+ 00:35:47,640 --> 00:35:51,140
1583
+ ู…ุชูƒูˆู† ู…ุญุตูˆู„ุฉ ุจูŠู† 1 ูˆ 2% ูŠ reject ูˆู„ุง don't rejectุŸ
1584
+
1585
+ 397
1586
+ 00:35:51,140 --> 00:35:55,320
1587
+ ุงุญู†ุง ู† reject ุฅุฐุง ูƒุงู†ุช ุฃุตุบุฑ ู…ู† Alpha ุฅุฐุง Alpha 5%
1588
+
1589
+ 398
1590
+ 00:35:55,320 --> 00:35:59,380
1591
+ ู† reject ูˆู„ุง don't rejectุŸุงู„ู€ P value ู‡ูŠ ุจุชุณุงูˆูŠ
1592
+
1593
+ 399
1594
+ 00:35:59,380 --> 00:36:05,480
1595
+ ู‡ูŠูƒ ู‡ูŠ ุฃู‚ู„ ู…ุด ูƒุฏู‡ ุฅุฐุง ู†ู‚ู„ู‡ุง ุทุจ ู„ู…ุง ุงุณุชุฎุฏู…ู†ุง ุงู„
1596
+
1597
+ 400
1598
+ 00:36:05,480 --> 00:36:10,120
1599
+ critical ุฅุดูƒุงู„ ุงู„ุฌูˆุง ุจุฑุถู‡ ุงู„ 5.9 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ูˆู„ุง
1600
+
1601
+ 401
1602
+ 00:36:10,120 --> 00:36:15,560
1603
+ ุจุฑุง ุฌูˆุจุง ุฅุฐุง ู†ู‚ู„ู‡ุง ู‡ูŠ ุงู„ hypothesis ุทุจ ู„ูˆ ุงู„ Kยฒ
1604
+
1605
+ 402
1606
+ 00:36:15,560 --> 00:36:23,440
1607
+ ู‚ูŠู…ุชู‡ุง ุฒุบุฑุช ุจุนุฏ ู…ุง ูƒุงู†ุช 5.9 ู†ูุชุฑุถ ุตุงุฑุช 2 ุงู„ P
1608
+
1609
+ 403
1610
+ 00:36:23,440 --> 00:36:28,620
1611
+ value ุจุงู„ุฒูŠุฏ ูˆู„ุง ุจุชูƒุจุฑ ุจุงู„ุฒูŠุฏุฎู„ุงุตุŸ ุฅุฐุง ูƒู„ ู…ุง ูƒุงู†ุช
1612
+
1613
+ 404
1614
+ 00:36:28,620 --> 00:36:35,100
1615
+ ุงู„ูƒู‡ุฉ square ุตุบูŠุฑุฉ ุงู„ู€ be very ู…ุงู„ู‡ุง ุจุชูƒุจุฑ ูˆ ุงู„ุนูƒุณ
1616
+
1617
+ 405
1618
+ 00:36:35,100 --> 00:36:41,380
1619
+ ุตุญูŠุญ ุชุทู„ุน ุจุงู‚ูŠ ุงู„ู…ุซุงู„ ู„ู„ู‚ุงุฉ ุชุฌุงู‡ ุงู† ุดุงุก ุงู„ู„ู‡
1620
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qpdd751IW1I_postprocess.srt ADDED
@@ -0,0 +1,1576 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,080 --> 00:00:25,700
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅุฐุง
4
+
5
+ 2
6
+ 00:00:25,700 --> 00:00:32,580
7
+ ูƒุงู† ุงู„ุชูˆุฒูŠุน
8
+
9
+ 3
10
+ 00:00:32,580 --> 00:00:35,040
11
+ ุทุจูŠุนูŠ
12
+
13
+ 4
14
+ 00:00:42,300 --> 00:00:46,240
15
+ ูˆSigma of X bar equal Sigma over square root of N
16
+
17
+ 5
18
+ 00:00:46,240 --> 00:00:57,920
19
+ ุงู„ุงู† ู…ุงุฐุง ุณูŠุญุฏุซ ุงุฐุง ุงู„ู…ุฌุชู…ุน ุงู„ู…ุชุนุงู…ู„ ู„ูŠุณ ุทุจูŠุนูŠ ูู‡ูŠ
20
+
21
+ 6
22
+ 00:00:57,920 --> 00:01:03,840
23
+ ุงุฐุง ุงู„ู…ุฌุชู…ุน ู„ูŠุณ ุทุจูŠุนูŠ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงู† ู†ุฎุจุฑ ู…ุฌู…ูˆุนุฉ
24
+
25
+ 7
26
+ 00:01:03,840 --> 00:01:07,720
27
+ ุงู„ุงู†ุชุฌุงุฑ ุนู† ู…ุนู†ู‰ ุงู„ุงู†ุชุฌุงุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุงู†
28
+
29
+ 8
30
+ 00:01:07,720 --> 00:01:25,350
31
+ ู†ุทุจู‚ูˆุฃุญุฏ ุงู„ุซูŠุฑูˆู… ุงู„ู…ุนุฑูˆู ู‡ูˆ ุงู„ู€ Central Limit
32
+
33
+ 9
34
+ 00:01:25,350 --> 00:01:29,510
35
+ Theorem ู†ุนุทูŠู‡ุง
36
+
37
+ 10
38
+ 00:01:29,510 --> 00:01:33,690
39
+ ุงุฎุชุตุงุฑุง CLT Central Limit Theorem
40
+
41
+ 11
42
+ 00:01:37,770 --> 00:01:40,250
43
+ ู…ุน ุฐู„ูƒ ูƒู…ุง ุฐูƒุฑุชุŒ ุฅู†ู‡ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ุฃุณุงุณูŠุงุช ุงู„ุนุงู…ุฉ ููŠ
44
+
45
+ 12
46
+ 00:01:40,250 --> 00:01:45,930
47
+ ุงู„ุจูŠุงู†ุงุช. ุฅู†ู‡ุง ุชู‚ูˆู„ ุฅู† ุญุชู‰ ุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู…ุฌุชู…ุน ุนุงู…ุŒ
48
+
49
+ 13
50
+ 00:01:45,930 --> 00:01:52,250
51
+ ูู†ุญู† ู†ุฑูƒุฒ ุนู„ู‰ ู…ุฌุชู…ุน ุบูŠุฑ ุนุงู…. ู„ุฐู„ูƒ ุฅุฐุง ุฃุชุช
52
+
53
+ 14
54
+ 00:01:52,250 --> 00:01:57,950
55
+ ุงู„ู…ุนู„ูˆู…ุงุช ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ุนุงู…ุŒ ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุฃูƒุชุฑ ู…ู†
56
+
57
+ 15
58
+ 00:01:57,950 --> 00:02:05,060
59
+ ุงู„ูˆู‚ุช ู„ุง ูŠูˆุฌุฏ ู…ุฌุชู…ุน ุนุงู…. ู„ุฐู„ูƒ ูƒูŠู ู†ู‚ูˆู„ุงู„ู‚ุฑุงุฑุงุช ุญูˆู„
60
+
61
+ 16
62
+ 00:02:05,060 --> 00:02:07,740
63
+ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุณุชุฎุฏู… ุงู„ู€
64
+
65
+ 17
66
+ 00:02:07,740 --> 00:02:15,840
67
+ Central Limit Theorem ูŠู‚ูˆู„ ุฃู† ุงู„ู…ุนุงู…ู„ุงุช ู…ู† ุงู„ู…ุฌุชู…ุน
68
+
69
+ 18
70
+ 00:02:15,840 --> 00:02:22,380
71
+ ุณุชูƒูˆู† ุนุงู…ู„ุฉ ุชู‚ุฑูŠุจู‹ุง ูˆู„ูƒู† ู‡ู†ุง ู„ุฏูŠู†ุง ุญุงู„ุฉ ูู‚ุท ุฅุฐุง
72
+
73
+ 19
74
+ 00:02:22,380 --> 00:02:26,120
75
+ ูƒุงู†ุช ุงู„ู…ุนุงู…ู„ุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ
76
+
77
+ 20
78
+ 00:02:30,830 --> 00:02:37,170
79
+ ุณูŠูƒูˆู† ู…ู‚ุงุฑู†ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
80
+
81
+ 21
82
+ 00:02:37,170 --> 00:02:43,470
83
+ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
84
+
85
+ 22
86
+ 00:02:43,470 --> 00:02:44,210
87
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
88
+
89
+ 23
90
+ 00:02:44,210 --> 00:02:44,250
91
+ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
92
+
93
+ 24
94
+ 00:02:44,250 --> 00:02:51,510
95
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
96
+
97
+ 25
98
+ 00:02:51,510 --> 00:02:57,510
99
+ ุนุงู…ุฉ
100
+
101
+ 26
102
+ 00:02:58,840 --> 00:03:03,160
103
+ ูŠุนู†ูŠ ูƒุฏู‡ ุฅูŠุด ุจูƒูˆู†ูŠ ูƒุจูŠุฑ ุฃุณุงุณ ุฃู‚ุฏุฑ ุฃุญูƒูŠ large ูู‡ุฐุง
104
+
105
+ 27
106
+ 00:03:03,160 --> 00:03:06,200
107
+ ุฑุงุญ ู†ุฌุงูˆุจ ุนู„ูŠู‡ ุจุนุฏ ุดูˆูŠุฉ how large is large enough
108
+
109
+ 28
110
+ 00:03:06,200 --> 00:03:14,340
111
+ how large is large enough ุฅุฐุง
112
+
113
+ 29
114
+ 00:03:14,340 --> 00:03:19,660
115
+ ุงู„ theorem ุจุชุญูƒูŠ ุฃู† ุงู„ simple means ุงู„ู„ูŠ ู„ูˆ ุตุฑุช
116
+
117
+ 30
118
+ 00:03:19,660 --> 00:03:23,670
119
+ ุงู„ุญุณุงุจูŠุฉ from the populationุบูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ูƒุงู†ุช
120
+
121
+ 31
122
+ 00:03:23,670 --> 00:03:27,090
123
+ ุนุงุฏูŠุฉ ุฃูˆ ู„ุงุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุงุช
124
+
125
+ 32
126
+ 00:03:27,090 --> 00:03:31,470
127
+ ุบูŠุฑ ุนุงุฏูŠุฉุŒ ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉ ุณุชูƒูˆู† ุนุงุฏูŠุฉ
128
+
129
+ 33
130
+ 00:03:31,470 --> 00:03:36,910
131
+ ุชู‚ุฑูŠุจู‹ุงุŒ ูƒู…ุง ุฃู† N ูŠุตุจุญ ุฃูƒุชุฑ ูˆ ุฃูƒุชุฑ. ุฃูŠุถู‹ุงุŒ ููŠ ู‡ุฐู‡
132
+
133
+ 34
134
+ 00:03:36,910 --> 00:03:40,530
135
+ ุงู„ุญุงู„ุฉุŒ ู†ุณุชุทูŠุน ุชุทุจูŠู‚ ุงู„ู‚ูˆุงู†ูŠู† ุงู„ู„ุงุฒู…ุฉุŒ ูŠุนู†ูŠ ู…ูŠุงู† X
136
+
137
+ 35
138
+ 00:03:40,530 --> 00:03:46,230
139
+ ุจุงุฑ ู…ุงุฒุงู„ ู…ูŠูˆ ูˆุณูŠุฌู…ุน X ุจุงุฑ ูŠู‚ูˆู… ุจุณูŠุฌู…ุน ุฃูƒุชุฑ ู…ู†
140
+
141
+ 36
142
+ 00:03:46,230 --> 00:03:46,970
143
+ ุฃูƒุชุฑ ู…ู† N
144
+
145
+ 37
146
+ 00:03:49,850 --> 00:03:53,250
147
+ ุงู„ุงู† ู„ุฏูŠู†ุง ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
148
+
149
+ 38
150
+ 00:03:53,250 --> 00:03:57,030
151
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
152
+
153
+ 39
154
+ 00:03:57,030 --> 00:04:04,670
155
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
156
+
157
+ 40
158
+ 00:04:04,670 --> 00:04:09,810
159
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
160
+
161
+ 41
162
+ 00:04:09,810 --> 00:04:14,130
163
+ ุงุชุตุงู„ุงุช
164
+
165
+ 42
166
+ 00:04:15,470 --> 00:04:20,710
167
+ ูŠุตุจุญ ุฃูƒุชุฑ ูˆ ุฃูƒุชุฑ ุซู… ู†ุญู† ู„ุฏูŠู†ุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
168
+
169
+ 43
170
+ 00:04:20,710 --> 00:04:23,850
171
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
172
+
173
+ 44
174
+ 00:04:23,850 --> 00:04:24,950
175
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
176
+
177
+ 45
178
+ 00:04:24,950 --> 00:04:25,070
179
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
180
+
181
+ 46
182
+ 00:04:25,070 --> 00:04:25,090
183
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
184
+
185
+ 47
186
+ 00:04:25,090 --> 00:04:26,230
187
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
188
+
189
+ 48
190
+ 00:04:26,230 --> 00:04:43,290
191
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจ
192
+
193
+ 49
194
+ 00:04:48,000 --> 00:04:57,580
195
+ with unknown population ุจุฏูŠู†ุง ุจุชูˆุฒูŠู‡ ู…ุด ู…ุนุฑูˆู then
196
+
197
+ 50
198
+ 00:04:57,580 --> 00:05:01,100
199
+ in this case we can apply this theorem the central
200
+
201
+ 51
202
+ 00:05:01,100 --> 00:05:04,360
203
+ limit theorem if the sample size is large enough
204
+
205
+ 52
206
+ 00:05:04,360 --> 00:05:11,480
207
+ so again the sampling properties we did before for
208
+
209
+ 53
210
+ 00:05:11,480 --> 00:05:13,640
211
+ the central tendency the mean of x bar equals mu
212
+
213
+ 54
214
+ 00:05:14,790 --> 00:05:17,470
215
+ ูˆู„ู„ู„ุชุงู„ูŠ ุณูŠุฌู…ุน ุงูƒุณ ุจุงุฑ ุงู‚ู„ ุณูŠุฌู…ุน ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ
216
+
217
+ 55
218
+ 00:05:17,470 --> 00:05:18,130
219
+ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ
220
+
221
+ 56
222
+ 00:05:18,130 --> 00:05:27,410
223
+ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ
224
+
225
+ 57
226
+ 00:05:27,410 --> 00:05:31,590
227
+ ุจุงุฑุงุณู…ุชุฑูŠูƒ ู„ูŠุณ ุทุจูŠุนูŠ ูˆู„ูƒู† ุฅุฐุง ูƒุงู† ุงู„ู€ N ูƒุจูŠุฑ ูƒูุงูŠุฉ
228
+
229
+ 58
230
+ 00:05:31,590 --> 00:05:32,930
231
+ ู„ุฏูŠู†ุง ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
232
+
233
+ 59
234
+ 00:05:32,930 --> 00:05:34,830
235
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
236
+
237
+ 60
238
+ 00:05:34,830 --> 00:05:36,550
239
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
240
+
241
+ 61
242
+ 00:05:36,550 --> 00:05:41,090
243
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
244
+
245
+ 62
246
+ 00:05:41,090 --> 00:05:51,670
247
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุช
248
+
249
+ 63
250
+ 00:05:52,760 --> 00:05:55,800
251
+ ุจุงุณุชุฎุฏุงู… ุงู„ู€ central limit theorem ุจู‚ุฏุฑ ุฃุดุชุบู„ ุนู„ู‰
252
+
253
+ 64
254
+ 00:05:55,800 --> 00:05:58,540
255
+ ุงู„ุฌุฏุงูˆู„ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ู„ุฐุง ูƒู„ ู‚ุตุชู†ุง ุงู„ูŠูˆู…
256
+
257
+ 65
258
+ 00:05:58,540 --> 00:06:03,820
259
+ ุดุบู„ุฉ ูˆุงุญุฏุฉ ุจุณ ุงู† N ุชูƒูˆู† ู…ุงู„ู‡ุง ูƒุจูŠุฑุฉ ุงู„ุงู† ุงุณู…ู‡ุง how
260
+
261
+ 66
262
+ 00:06:03,820 --> 00:06:10,800
263
+ large is large enough ู‚ุฏุงุด N ุชูƒูˆู† ูƒุจูŠุฑุฉ there are
264
+
265
+ 67
266
+ 00:06:10,800 --> 00:06:15,280
267
+ three scenarios the first one for most
268
+
269
+ 68
270
+ 00:06:15,280 --> 00:06:19,580
271
+ distributions now we are looking for N when N is
272
+
273
+ 69
274
+ 00:06:19,580 --> 00:06:25,320
275
+ large enoughุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ุฃูˆู„ ููŠ ู…ุนุธู… ุงู„ุชูˆุฒูŠุนุงุช ููŠ
276
+
277
+ 70
278
+ 00:06:25,320 --> 00:06:29,100
279
+ ุฃุนู„ู‰ ู…ู† 30 ููŠ ุฃุนู„ู‰ ู…ู† 30 ุณูŠุนุทูŠ ุณุงู†ูˆูŠูƒ ุฏุณุชุฑูŠุจูŠูˆุดู†
280
+
281
+ 71
282
+ 00:06:29,100 --> 00:06:34,740
283
+ ูˆู‡ูˆ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
284
+
285
+ 72
286
+ 00:06:34,740 --> 00:06:34,800
287
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
288
+
289
+ 73
290
+ 00:06:34,800 --> 00:06:34,880
291
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
292
+
293
+ 74
294
+ 00:06:34,880 --> 00:06:36,040
295
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
296
+
297
+ 75
298
+ 00:06:36,040 --> 00:06:50,560
299
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
300
+
301
+ 76
302
+ 00:06:54,080 --> 00:07:02,240
303
+ in should be greater than 30 number two for fairly
304
+
305
+ 77
306
+ 00:07:02,240 --> 00:07:08,720
307
+ symmetric ุฅูŠุด ูŠุนู†ูŠ fairly symmetric ูŠุนู†ูŠ ููŠ ุชู‚ุฑูŠุจุง
308
+
309
+ 78
310
+ 00:07:08,720 --> 00:07:14,360
311
+ ุชู…ุงุซู„ ู…ุด 100% ููŠ ุชู…ุงุซู„ in is large if in is above
312
+
313
+ 79
314
+ 00:07:14,360 --> 00:07:22,140
315
+ 15 if in is greater than 15 so we canุงุณู…ุญูˆุง ุฃู† ุงุฐุง
316
+
317
+ 80
318
+ 00:07:22,140 --> 00:07:26,440
319
+ N ุฃูƒุจุฑ ู…ู† 30 ููŠ ู…ุนุธู… ุงู„ู…ุดุงุฑูƒุงุช ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€
320
+
321
+ 81
322
+ 00:07:26,440 --> 00:07:29,740
323
+ Central Limit Theorem ูˆ ุจุนุฏ ุฐู„ูƒ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€
324
+
325
+ 82
326
+ 00:07:29,740 --> 00:07:36,320
327
+ Z-table ุงู„ู„ูŠ ูƒุงู† ู„ุฏูŠู†ุง ู‚ุจู„ู‡ุง ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุดุงุฑูƒุงุช
328
+
329
+ 83
330
+ 00:07:36,320 --> 00:07:40,660
331
+ ู…ุชุณุงูˆู…ุฉ ุจุดูƒู„ ูƒุงููŠ ูุฅู† N ูƒุจูŠุฑ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† 15
332
+
333
+ 84
334
+ 00:07:40,660 --> 00:07:43,680
335
+ ุฑู‚ู…
336
+
337
+ 85
338
+ 00:07:43,680 --> 00:07:48,280
339
+ ุชู„ุงุชุฉ ู„ู…ุดุงุฑูƒุฉ ู…ุฌุชู…ุน ุนุงู… ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ู…ุดุงุฑูƒุฉ ุนุงู…ุฉ
340
+
341
+ 86
342
+ 00:07:51,350 --> 00:07:56,770
343
+ for normal population distribution
344
+
345
+ 87
346
+ 00:07:56,770 --> 00:08:02,570
347
+ the sampling distribution of the mean is is always
348
+
349
+ 88
350
+ 00:08:02,570 --> 00:08:07,090
351
+ normal ู„ูŠุดุŸ ู„ุฃู† ุงู„ุฃุตู„ ุฅูŠุด ููŠ ุนู†ุฏูŠุŸ ููŠ ุนู†ุฏูŠ normal
352
+
353
+ 89
354
+ 00:08:07,090 --> 00:08:10,850
355
+ ูุจุงู„ุชุงู„ูŠ ุงู„ X bar ุจุฑุถู‡ ู‡ูŠูƒูˆู† ู„ู‡ุง normal ุฏุงุฆู…ุง ู…ุด
356
+
357
+ 90
358
+ 00:08:10,850 --> 00:08:16,050
359
+ approximately ุฅุฐุง for normal population X bar is
360
+
361
+ 91
362
+ 00:08:16,050 --> 00:08:16,610
363
+ always
364
+
365
+ 92
366
+ 00:08:19,750 --> 00:08:30,050
367
+ ุงู„ุชูˆุฒูŠุน X bar ู‡ูˆ ุฏุงุฆู…ุง ุทุจูŠุนูŠุŒ ุจุฏู„ุง ู…ู† N
368
+
369
+ 93
370
+ 00:08:30,050 --> 00:08:34,130
371
+ ูŠุนู†ูŠ ุฃูŠุง ูƒุงู†ุช N ุตุบูŠุฑุฉ ุฃูˆ ูƒุจูŠุฑุฉุŒ ูŠุนุชุจุฑ ุงู„ุชูˆุฒูŠุน
372
+
373
+ 94
374
+ 00:08:34,130 --> 00:08:38,730
375
+ ุฏุงุฆู…ุง ุทุจูŠุนูŠ ุฅุฐุง ู„ูˆ ุฃู†ุง ุฎุงุช ู…ู† ุงู„ุทุจูŠุนูŠ ู…ุงุนู†ุฏูŠ
376
+
377
+ 95
378
+ 00:08:38,730 --> 00:08:42,470
379
+ ู…ุดูƒู„ุฉุŒ ูŠุนู†ูŠ ู„ูˆ ุญูƒูŠุชู„ูƒ for normal populationุŒ then
380
+
381
+ 96
382
+ 00:08:42,470 --> 00:08:47,050
383
+ forget about the sample sizeูˆู„ูƒู† ุฅุฐุง ูƒุงู†ุช ุงู„ุณุคุงู„
384
+
385
+ 97
386
+ 00:08:47,050 --> 00:08:53,850
387
+ ู…ู† ู…ุฌู…ูˆุนุฉ A ูˆู„ู… ู†ุฐูƒุฑ ุฃู†ู‡ุง ุนุงู…ุฉุŒ ููŠุฌุจ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰
388
+
389
+ 98
390
+ 00:08:53,850 --> 00:08:58,570
391
+ N. ููŠ ู…ุนุธู… ุงู„ู…ุดุงุฑูƒุงุช N ูƒุจูŠุฑ ุฅุฐุง ูƒุงู† N ุฃูƒุจุฑ ู…ู† 30.
392
+
393
+ 99
394
+ 00:08:59,290 --> 00:09:06,750
395
+ ู„ู€ Fairly Symmetric N ุฃูƒุจุฑ ู…ู† 15 ูŠูƒููŠ ู„ุฏูŠู‡ุง
396
+
397
+ 100
398
+ 00:09:06,750 --> 00:09:11,230
399
+ ู…ุดุงุฑูƒุงุช ุนุงู…ุฉ. ุณุฃุนุทูŠูƒ ู…ุซุงู„ ูˆุงุญุฏ.
400
+
401
+ 101
402
+ 00:09:14,670 --> 00:09:23,170
403
+ suppose a population has a mean look suppose a
404
+
405
+ 102
406
+ 00:09:23,170 --> 00:09:27,570
407
+ population so in this case we don't mention the
408
+
409
+ 103
410
+ 00:09:27,570 --> 00:09:30,470
411
+ population is normal it says just suppose a
412
+
413
+ 104
414
+ 00:09:30,470 --> 00:09:35,010
415
+ population ูˆุงุถุญุŸ ู…ุงุญูƒูŠู‡ุด normal population ุงู„ ุฅูŠู‡ุŸ
416
+
417
+ 105
418
+ 00:09:35,010 --> 00:09:38,010
419
+ ู…ุด ู…ุนู†ุงู‡ ุฅูŠู‡ ู„ู…ุง ุชูƒูˆู† ููŠ ุนู†ุฏูƒ ุดุบู„ ุฒูŠูƒ ุฅูŠุด ูŠุนู†ูŠ
420
+
421
+ 106
422
+ 00:09:38,010 --> 00:09:41,810
423
+ ุงู„ุฅูŠู‡ populationุŸ ู„ู…ุง ุจุญูƒูŠ ููŠ suppose a population
424
+
425
+ 107
426
+ 00:09:43,250 --> 00:09:46,190
427
+ ู…ุฌู‡ูˆู„ ู†ูƒุฑุฉ ุงู„ a ู†ูƒุฑุฉ ู…ุด ู…ุนุฑูˆู ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ู…ุด
428
+
429
+ 108
430
+ 00:09:46,190 --> 00:09:51,850
431
+ ู…ุนุฑูˆู ูŠุนู†ูŠ unknown population with mean mu equals
432
+
433
+ 109
434
+ 00:09:51,850 --> 00:09:56,570
435
+ eight ุงุฐุง
436
+
437
+ 110
438
+ 00:09:56,570 --> 00:10:00,650
439
+ ููŠ ุงู„ example ุงู„ู„ูŠ ุนู†ุฏูŠ ุงู„ mu equals eight and we
440
+
441
+ 111
442
+ 00:10:00,650 --> 00:10:05,410
443
+ have unknown population the question does not say
444
+
445
+ 112
446
+ 00:10:05,410 --> 00:10:09,230
447
+ we have or suppose we have normal population it
448
+
449
+ 113
450
+ 00:10:09,230 --> 00:10:12,770
451
+ says just suppose a population has a mean of eight
452
+
453
+ 114
454
+ 00:10:15,360 --> 00:10:21,820
455
+ ูˆุงู„ู†ุณุจุฉ ู„ู„ุนูŠุงุฑุฉ ุณูŠุฌู…ุง ุงูˆ ุซู„ุงุซุฉ ุงุนุชู…ุฏ ุนู„ู‰ ุนูŠุงุฑุฉ
456
+
457
+ 115
458
+ 00:10:21,820 --> 00:10:31,540
459
+ ุนู…ูŠู„ุฉ 36 ุนู…ู„ุงุช ุนู…ูŠู„ุฉ 36 ู…ุฎุชู„ูุฉ ุณุฃุนุทูŠ ุจุนุถ ุงู„ุฃุณุฆู„ุฉ
460
+
461
+ 116
462
+ 00:10:31,540 --> 00:10:36,200
463
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ูƒุชุงุจุฉ ููŠ ู‡ุฐู‡ ุงู„ุตูุญุฉ ุชู‚ูˆู„ ู…ุง ู‡ูŠ
464
+
465
+ 117
466
+ 00:10:36,200 --> 00:10:38,280
467
+ ู…ุนุฑูˆูุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
468
+
469
+ 118
470
+ 00:10:43,490 --> 00:10:50,630
471
+ ู„ุฐู„ูƒ ู†ุจุญุซ ุนู† 7.8 ูˆ8
472
+
473
+ 119
474
+ 00:10:50,630 --> 00:10:54,590
475
+ .2 ุงู„ุขู†
476
+
477
+ 120
478
+ 00:10:54,590 --> 00:10:58,150
479
+ ู„ุชุทุจูŠู‚ ู‡ุฐุง ุงู„ู‡ูŠุฆุฉ ุฃุนู†ูŠ ุงู„ู‡ูŠุฆุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุงู„ู‡ูŠุฆุฉ
480
+
481
+ 121
482
+ 00:10:58,150 --> 00:11:02,410
483
+ ุงู„ู…ุฑูƒุฒูŠุฉ ูŠุฌุจ ุฃู† ู†ุชุญู‚ู‚ ุตู…ูŠู… ุงู„ู…ุฌู…ูˆุนุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
484
+
485
+ 122
486
+ 00:11:02,410 --> 00:11:09,630
487
+ ุตู…ูŠู… ุงู„ู…ุฌู…ูˆุนุฉ 36 ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ู…ุนุธู… ุงู„ุชุทุจูŠู‚ุงุชN is
488
+
489
+ 123
490
+ 00:11:09,630 --> 00:11:13,090
491
+ large enough if N is above 30 So in this case, we
492
+
493
+ 124
494
+ 00:11:13,090 --> 00:11:17,150
495
+ can apply the central limit theorem ูˆุงุถุญ 36 ูƒุจูŠุฑุฉ
496
+
497
+ 125
498
+ 00:11:17,150 --> 00:11:23,530
499
+ ูู…ู…ูƒู† ุงุณุชุฎุฏู… ุงู„ู†ุธุฑูŠุฉ ูˆุงุดูŠุงู„ ุนู„ู‰ ุทูˆู„ So even if the
500
+
501
+ 126
502
+ 00:11:23,530 --> 00:11:26,030
503
+ population is not normally distributed, the
504
+
505
+ 127
506
+ 00:11:26,030 --> 00:11:29,290
507
+ central limit theorem can be used ุงู„ุณุจุจ N is
508
+
509
+ 128
510
+ 00:11:29,290 --> 00:11:33,230
511
+ greater than 30 So the standard distribution of X
512
+
513
+ 129
514
+ 00:11:33,230 --> 00:11:38,390
515
+ bar is approximately normal ูˆุงุถุญุŸุทุงู„ู…ุง ุงู† ูŠุนู†ูŠ ูƒู„
516
+
517
+ 130
518
+ 00:11:38,390 --> 00:11:43,930
519
+ ุญูƒุงูŠุฉ n greater than 30 ุซู… ู†ุณุชุทูŠุน ุชุทุจูŠู‚ ุงู„ู€
520
+
521
+ 131
522
+ 00:11:43,930 --> 00:11:47,210
523
+ central
524
+
525
+ 132
526
+ 00:11:47,210 --> 00:11:53,330
527
+ limit theorem ุงู„ู€ mean of x bar ู‡ูˆ ุฏุงุฆู…ุง ุงูŠู‚ุงู„ ู…ูŠูˆ
528
+
529
+ 133
530
+ 00:11:53,330 --> 00:11:58,050
531
+ ุงู„ู„ูŠ ู‡ูˆ 8 ูˆ sigma of x bar sigma over square root
532
+
533
+ 134
534
+ 00:11:58,050 --> 00:12:02,070
535
+ of n sigma 3 square root of 36
536
+
537
+ 135
538
+ 00:12:07,360 --> 00:12:14,880
539
+ 3 ุนู„ู‰ 6 ู‡ูˆ ู†ุตู ูˆุงุญุฏ ุงู„ุขู† ู†ุจุญุซ ุนู† ู…ุฑุฉ ุฃุฎุฑู‰ X ุจุงุฑ
540
+
541
+ 136
542
+ 00:12:14,880 --> 00:12:25,920
543
+ ุจูŠู† 7.8 ูˆ8.2 ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ุฃุชุฑุฌุญ ู…ู† ู…ุฌู„ุฏ ZูŠ ู…ุฌู„ุฏ Z
544
+
545
+ 137
546
+ 00:12:25,920 --> 00:12:30,980
547
+ ู†ุญู† ูู‚ุท ู†ุทุจู‚ ู‡ุฐู‡ ุงู„ู‚ูˆุฉ ุงู„ุชูŠ ูุนู„ู†ุงู‡ุง ุงู„ุณุงุจู‚ ู…ุฑุฉ ุฒูŠ
548
+
549
+ 138
550
+ 00:12:30,980 --> 00:12:31,820
551
+ ุงูƒูˆุงู„ X ุจุงุฑ
552
+
553
+ 139
554
+ 00:12:35,710 --> 00:12:43,790
555
+ Sigma over square root of N ุฅุฐุง
556
+
557
+ 140
558
+ 00:12:43,790 --> 00:12:46,930
559
+ ู‡ุทุจู‚ ุงู„ Z-score ุงู„ู„ูŠ ู‡ูˆ ุงู„ X bar minus ุงู„ู…ูŠู† ุชุจุน
560
+
561
+ 141
562
+ 00:12:46,930 --> 00:12:50,990
563
+ ุงู„ X bar ุนู„ู‰ ุณูŠุฌู…ุน ุงู„ X bar ุฃู†ุง ุทู„ุนุช ุฅู† ุงู„ X bar
564
+
565
+ 142
566
+ 00:12:50,990 --> 00:12:57,070
567
+ equals 8 ูˆSigma X bar equals one half 7.8 this is
568
+
569
+ 143
570
+ 00:12:57,070 --> 00:13:05,570
571
+ my X bar minus Mu over Sigma of X barุฃู‚ู„ ู…ู† ุงูˆ ุงู‚ู„
572
+
573
+ 144
574
+ 00:13:05,570 --> 00:13:06,530
575
+ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„
576
+
577
+ 145
578
+ 00:13:06,530 --> 00:13:10,030
579
+ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
580
+
581
+ 146
582
+ 00:13:10,030 --> 00:13:12,870
583
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
584
+
585
+ 147
586
+ 00:13:12,870 --> 00:13:15,790
587
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
588
+
589
+ 148
590
+ 00:13:15,790 --> 00:13:16,150
591
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
592
+
593
+ 149
594
+ 00:13:16,150 --> 00:13:16,550
595
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
596
+
597
+ 150
598
+ 00:13:16,550 --> 00:13:22,170
599
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
600
+
601
+ 151
602
+ 00:13:22,170 --> 00:13:33,990
603
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
604
+
605
+ 152
606
+ 00:13:34,030 --> 00:13:41,230
607
+ ุณู†ุฎุชุงุฑ ู…ุฌู…ูˆุนุฉ ุนุดูˆุงุฆูŠุฉ 36 ู…ู† ู…ุฌู…ูˆุนุฉ ุบูŠุฑ ู…ุนุฑูˆูุฉ ู‡ุฐู‡
608
+
609
+ 153
610
+ 00:13:41,230 --> 00:13:50,050
611
+ ุงู„ู…ุฌู…ูˆุนุฉ ู„ุฏูŠู‡ุง ุนุฏุฏ ู…ู† 8 ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ูุฑู‚ ุจูŠู† 7.8
612
+
613
+ 154
614
+ 00:13:50,050 --> 00:13:55,610
615
+ ูˆ8.2 ู„ู€ X bar ูู‡ุฐุง ูƒู„ ุดูŠุก ููŠ ู‡ุฐุง ุงู„ู†ู‚ุทุฉุจุนุฏ ุฐู„ูƒ ูŠุฌุจ
616
+
617
+ 155
618
+ 00:13:55,610 --> 00:13:59,390
619
+ ุฃู† ู†ู‚ูˆู… ุจุชู‚ุฑูŠุฑ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู„ุญุตูˆู„ ุนู„ู‰ Z-score ู„ุฐู„ูƒ
620
+
621
+ 156
622
+ 00:13:59,390 --> 00:14:07,690
623
+ ุจุฏุฃู†ุง ู‡ู†ุง ู…ู† X X ู‡ูˆ ุฃูŠ ู…ุฌุชู…ุน ุงู†ุง ู…ู‡ุชู… ุจุงู„ X-bar
624
+
625
+ 157
626
+ 00:14:07,690 --> 00:14:14,490
627
+ ุจุนู…ู„ convert ู„ู‡ ู„ู„ู‚ุฑุงุฑ Z-score ู‡ุงูŠ ุงู„ Z-score ุนู†ุฏูŠ
628
+
629
+ 158
630
+ 00:14:14,490 --> 00:14:18,490
631
+ ู…ูˆุฌูˆุฏ 7.8 minus 8 over one half negative point
632
+
633
+ 159
634
+ 00:14:18,490 --> 00:14:27,420
635
+ fourุฃูŠุถู‹ุง 8.2 ู…ู† 8.2 ุนู„ู‰ 1.5 ุฃูƒุซุฑ ู…ู† 4.4 ุŒ ู„ุฐู„ูƒ
636
+
637
+ 160
638
+ 00:14:27,420 --> 00:14:35,300
639
+ ุงู„ุขู† ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุŒ ู„ุฐู„ูƒ ุจู…ุฌุฑุฏ ุฃู† ูŠูƒูˆู† X
640
+
641
+ 161
642
+ 00:14:35,300 --> 00:14:42,020
643
+ ุจุงุฑ ุจูŠู† 7.8 ูˆ8.2 ุŒ ู„ุฏูŠู†ุง Z ุจูŠู† ู†ู‚ุงุท ู†ู‚ุงุท 4.4 ูˆ4.4
644
+
645
+ 162
646
+ 00:14:42,020 --> 00:14:48,130
647
+ ุŒ ู„ุฐู„ูƒ ู†ุจุญุซ ุนู† ู‡ุฐุงู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ูˆุงู‚ุน ู„ู€ z-score
648
+
649
+ 163
650
+ 00:14:48,130 --> 00:14:52,050
651
+ ู‡ูŠ ู†ูุณ ุงู„ู…ู†ุทู‚ุฉ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู… ู„ู€ x bar ูˆู„ูƒู†
652
+
653
+ 164
654
+ 00:14:52,050 --> 00:14:56,950
655
+ ุงู„ุทุงุจู‚ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ูู‚ุท ู„ู€ z ู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐู‡
656
+
657
+ 165
658
+ 00:14:56,950 --> 00:15:04,550
659
+ ุงู„ูˆุงู‚ุนูŠุฉ ุจูŠู† ู†ู‚ู„ 0.4 ูˆ 4.4 ุฅู„ู‰ ู‡ุฐุง ุงู„ู†ู‚ุทุฉ ู‡ุฐุง ุดุจุชุฑ
660
+
661
+ 166
662
+ 00:15:04,550 --> 00:15:10,190
663
+ 7 ุงู„ู„ูŠ ุงุฎุฏู†ุง ุงู„ูŠูˆู… ุงู„ู„ูŠ ุงู†ุง ุงู„ู„ูŠ ุจู‚ุนุฏู‡ ุจุฏู‡ ุฃุญุณุจ ุงู„
664
+
665
+ 167
666
+ 00:15:10,190 --> 00:15:13,870
667
+ probability ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ู‡ู†ุงููŠ chapter six
668
+
669
+ 168
670
+ 00:15:13,870 --> 00:15:17,490
671
+ ุฏุงูŠู…ุง ู‡ูƒูˆู† ุดุบู„ู†ุง ุฒูŠ ู‡ูŠูƒ ุจู†ุงุฎุฏ ุดุบู„ ููŠ chapter
672
+
673
+ 169
674
+ 00:15:17,490 --> 00:15:22,790
675
+ ุงู„ุฌุฏูŠุฏ ู†ูุชุฑุถ chapter ุชุณุนุฉ ูˆ ุจุนุฏูŠู† ุงู„ุชูƒู…ู„ุฉ ู‡ุชูƒูˆู† ููŠ
676
+
677
+ 170
678
+ 00:15:22,790 --> 00:15:25,330
679
+ ุงู„ chapters ุงู„ู„ูŠ ูุงุชุช ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ุฌุงูŠ
680
+
681
+ 171
682
+ 00:15:25,330 --> 00:15:31,190
683
+ ูŠูƒูˆู† chapter ุชู…ุงู†ูŠุฉ ู†ูุชุฑุถ ุชูƒู…ู„ุฉ ุณุจุนุฉ ุฃูˆ ุชูƒู…ู„ุฉ ุณุชุฉ
684
+
685
+ 172
686
+ 00:15:31,190 --> 00:15:34,790
687
+ ูุจุงู„ุชุงู„ูŠ ู‡ูŠ series ู…ุน ุจุนุถ ูŠุนู†ูŠ ู„ุงุฒู… ุฃุณุชูˆุนุจ ุงู„ุณุช
688
+
689
+ 173
690
+ 00:15:34,790 --> 00:15:38,870
691
+ ุงู„ุฃูˆู„ ุนุดุงู† ุฃูู‡ู… ุงู„ุณุจุนุฉ ูˆ ุนุดุงู† ุฃูู‡ู… ู…ุง ุชุจู‚ู‰ ู„ุงุฒู…
692
+
693
+ 174
694
+ 00:15:38,870 --> 00:15:44,980
695
+ ุฃุนุฑู ู…ุง ุณุจู‚ ุณุจุนุฉ ุฃูˆ ุณุชุฉ ูˆ ู‡ูƒุฐุงุจุนู†ูˆุงู† P of Z
696
+
697
+ 175
698
+ 00:15:44,980 --> 00:15:52,360
699
+ between negative point four and plus four ู†ู‚ุงุท
700
+
701
+ 176
702
+ 00:15:52,360 --> 00:15:55,480
703
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
704
+
705
+ 177
706
+ 00:15:55,480 --> 00:15:56,200
707
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
708
+
709
+ 178
710
+ 00:15:56,200 --> 00:15:56,320
711
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
712
+
713
+ 179
714
+ 00:15:56,320 --> 00:15:56,380
715
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
716
+
717
+ 180
718
+ 00:15:56,380 --> 00:15:57,080
719
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
720
+
721
+ 181
722
+ 00:15:57,080 --> 00:15:58,680
723
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
724
+
725
+ 182
726
+ 00:15:58,680 --> 00:16:11,920
727
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚
728
+
729
+ 183
730
+ 00:16:13,350 --> 00:16:18,130
731
+ ูƒูŠู ุทู„ุนุชูˆุงู‡ุง ู‚ุจู„ ู‡ูŠูƒุŸ
732
+
733
+ 184
734
+ 00:16:18,130 --> 00:16:23,130
735
+ ุทุจ ูˆุงุญุฏ ู‡ุทู„ุนุช ู…ุงุฑูŠู†ูŠุฉ ุฃู†ุง ุงู„ูƒู„ุงู†ุฉ ุฃู†ุง ู…ุด ู‡ุดุฑุญู‡
736
+
737
+ 185
738
+ 00:16:23,130 --> 00:16:25,770
739
+ ู…ุฑุชูŠู† ูˆ ุนุดุฑุฉ ู…ุด .. ุญุชู‰ ุงุจุง ุฃู†ุง ุจุดุฑุญ ู„ุฅู† ุงู†ุช ุฎุฏุชูŠู‡
740
+
741
+ 186
742
+ 00:16:25,770 --> 00:16:31,010
743
+ ู‚ุจู„ ู‡ูŠูƒ ู‡ูุชุญู„ูƒ
744
+
745
+ 187
746
+ 00:16:31,010 --> 00:16:35,310
747
+ ุงู„ Z table ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู…ุนู†ุงุŸ
748
+
749
+ 188
750
+ 00:17:05,820 --> 00:17:08,600
751
+ ุฅุฐุงู‹ ุงู„ู€ area between negative point four and plus
752
+
753
+ 189
754
+ 00:17:08,600 --> 00:17:11,820
755
+ four ู‡ุฐู‡ ูƒู„ู‡ุง minus ู‡ุฐู‡ ุจุงู„ุธุจุท ุงู„ู„ูŠ ู‡ูŠ ุงู„ area to
756
+
757
+ 190
758
+ 00:17:11,820 --> 00:17:14,760
759
+ the left of point four minus the area to the left
760
+
761
+ 191
762
+ 00:17:14,760 --> 00:17:18,850
763
+ of negative point fourุงู„ุงู† ู†ุญู† ู„ุฏูŠู†ุง P of Z ุฃู‚ู„ ู…ู†
764
+
765
+ 192
766
+ 00:17:18,850 --> 00:17:22,250
767
+ 0.4 ุฃู‚ู„ ู…ู† P of Z ู†ู‚ู„ ู…ู† ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
768
+
769
+ 193
770
+ 00:17:22,250 --> 00:17:23,930
771
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
772
+
773
+ 194
774
+ 00:17:23,930 --> 00:17:25,430
775
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
776
+
777
+ 195
778
+ 00:17:25,430 --> 00:17:26,290
779
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
780
+
781
+ 196
782
+ 00:17:26,290 --> 00:17:30,030
783
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
784
+
785
+ 197
786
+ 00:17:30,030 --> 00:17:34,250
787
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
788
+
789
+ 198
790
+ 00:17:34,250 --> 00:17:41,510
791
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
792
+
793
+ 199
794
+ 00:17:48,240 --> 00:17:58,680
795
+ 0.6554 ุฅู„ู‰
796
+
797
+ 200
798
+ 00:17:58,680 --> 00:18:06,200
799
+ ุงู„ู„ุญุธุฉ ุงู„ area to the left ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง 0.6 ุงู„
800
+
801
+ 201
802
+ 00:18:06,200 --> 00:18:10,440
803
+ area ุงู„ู„ูŠ ู‡ู†ุง to the left ูƒู„ ุงู„ area ู‡ุฐู‡ ุทู„ุนุชุด
804
+
805
+ 202
806
+ 00:18:10,440 --> 00:18:13,800
807
+ ุชุณุงูˆูŠ 0.6554 minus
808
+
809
+ 203
810
+ 00:18:18,400 --> 00:18:21,720
811
+ ู‡ุฐู‡ ู…ุด ู‡ุชุทู„ุนุญู‡ุง ู…ู† ุงู„ุฌุฏูˆู„ ู‡ุชุทู„ุนุญู‡ุง ู…ุจุงุดุฑุฉ ุงู„ู„ูŠ ู‡ูŠ
812
+
813
+ 204
814
+ 00:18:21,720 --> 00:18:26,540
815
+ ู†ูุณ ุงู„ู„ูŠ ู‡ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุธุจูˆุท ุฒูŠู‡ุง ู†ูุณ ุงู„ .. ุจุณ
816
+
817
+ 205
818
+ 00:18:26,540 --> 00:18:35,840
819
+ ุงู„ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ุจุธุจุท
820
+
821
+ 206
822
+ 00:18:35,840 --> 00:18:43,000
823
+ ู…ู…ุชุงุฒ
824
+
825
+ 207
826
+ 00:18:43,000 --> 00:18:45,940
827
+ ู‡ูŠูƒ ุงู„ุตูˆุฑุฉ ูˆุงุถุญุฉ ุงู„ less than negative
828
+
829
+ 208
830
+ 00:18:53,110 --> 00:18:56,490
831
+ ุจุงู„ุธุจุท ุงู„ู„ูŠ ู‡ูŠ area to the left of 0.4 minus the
832
+
833
+ 209
834
+ 00:18:56,490 --> 00:19:00,510
835
+ area to the left of negative 0.4 So now we have P
836
+
837
+ 210
838
+ 00:19:00,510 --> 00:19:04,230
839
+ of z less than 0.4 minus P of z less than negative
840
+
841
+ 211
842
+ 00:19:04,230 --> 00:19:09,410
843
+ 0.4 Suppose you have just the positive z, this z
844
+
845
+ 212
846
+ 00:19:09,410 --> 00:19:14,250
847
+ score In the exam I will just give one table, the
848
+
849
+ 213
850
+ 00:19:14,250 --> 00:19:20,050
851
+ positive one Negative is one minusุงูŠ ุญุงุฌุฉ ู„ูˆ ุจุชุทู„ุน
852
+
853
+ 214
854
+ 00:19:20,050 --> 00:19:23,530
855
+ positive ุนุงูŠุฒ ุงู„ negative ุชุจุนู‡ ู†ูุณ ุงู„ value one
856
+
857
+ 215
858
+ 00:19:23,530 --> 00:19:38,590
859
+ minus ุจุชุทู„ุน ุงู„ point four point six five five four
860
+
861
+ 216
862
+ 00:19:38,590 --> 00:19:41,670
863
+ ุงู„ู„ุญุธุฉ
864
+
865
+ 217
866
+ 00:19:41,670 --> 00:19:48,710
867
+ ุงู„ area to the left ุงู„ area ุงู„ู„ูŠ ู‡ู†ุงpoint six ุงู„
868
+
869
+ 218
870
+ 00:19:48,710 --> 00:19:52,910
871
+ area ุงู„ู„ูŠ ู‡ู†ุง to the left ูƒู„ ุงู„ area ู‡ุฐู‡ ุทู„ุนุชุด
872
+
873
+ 219
874
+ 00:19:52,910 --> 00:19:59,590
875
+ ุชุณุงูˆูŠ point six five five four minus ู‡ุฐู‡
876
+
877
+ 220
878
+ 00:19:59,590 --> 00:20:05,330
879
+ ู…ุด ู‡ุชุทู„ุนุญู‡ุง ู…ู† ุงู„ุฌุฏูˆู„ ู‡ุชุทู„ุนุญู‡ุง ู…ุจุงุดุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ู†ูุณ
880
+
881
+ 221
882
+ 00:20:05,330 --> 00:20:09,330
883
+ ุงู„ู„ูŠ ู‡ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุธุจูˆุท ุฒูŠู‡ุง ู†ูุณ ุงู„ .. ุจุณ ุงู„ู‚ูŠู…ุฉ
884
+
885
+ 222
886
+ 00:20:09,330 --> 00:20:13,870
887
+ ู…ุฎุชู„ูุฉ ุจุงู„ุธุจุท
888
+
889
+ 223
890
+ 00:20:24,940 --> 00:20:28,420
891
+ ู…ู…ุชุงุฒุŒ ู‡ูŠูƒ ุงู„ุตูˆุฑุฉ ูˆุงุถุญุฉ ุงู„ู€ less than negative
892
+
893
+ 224
894
+ 00:20:28,420 --> 00:20:38,040
895
+ point four ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงุฐุง
896
+
897
+ 225
898
+ 00:20:38,040 --> 00:20:42,820
899
+ ุงู„ area to the left of negative point four ู‡ูŠ ู†ูุณ
900
+
901
+ 226
902
+ 00:20:42,820 --> 00:20:47,200
903
+ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ right ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุณุงุญุฉ to the
904
+
905
+ 227
906
+ 00:20:47,200 --> 00:20:50,720
907
+ right sideุงู„ู€ right ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏ ุงู„ู€ right ู…ูˆุฌูˆุฏ
908
+
909
+ 228
910
+ 00:20:50,720 --> 00:20:54,360
911
+ ุนู†ุฏ ุงู„ู€ left ู greater than ุนุจุงุฑุฉ ุนู† ุฅูŠุด one minus
912
+
913
+ 229
914
+ 00:20:54,360 --> 00:20:57,920
915
+ p of z less than point four ุฃูˆ ู…ู…ูƒู† ุฃู†ุง ุจุฏู„ ู…ูƒุชูˆุจ
916
+
917
+ 230
918
+ 00:20:57,920 --> 00:21:03,020
919
+ ูˆ ุงุชุนุจ ูƒู„ ุฎุทูˆุงุช ุฏูˆู„ ุทุงู„ู…ุง one minus ูŠุนู†ูŠ ุนู„ู‰ ุทูˆู„
920
+
921
+ 231
922
+ 00:21:03,020 --> 00:21:08,160
923
+ automatic ู‡ุทู„ุญู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง less than
924
+
925
+ 232
926
+ 00:21:08,160 --> 00:21:12,200
927
+ negative point four one minus ุงู„ู„ูŠ ุทู„ุนุช ู…ุนุงู‡ ุฎู„ุงุต
928
+
929
+ 233
930
+ 00:21:12,200 --> 00:21:13,380
931
+ ุจุฏู„ ู…ุง ุฃุนู…ู„ ุณุทุฑูŠู† ุฒูŠุงุฏุฉ
932
+
933
+ 234
934
+ 00:21:16,420 --> 00:21:22,060
935
+ ูˆุงุถุญ ุงู† ุฒู…ูŠู„ุชูŠ ูƒุงู…ู„ุฉ ูƒู„ุงู…ูƒ ุตุญ ุทู„ุนุช 0.6554 ุจุณ ุชุนุงู„ู‰
936
+
937
+ 235
938
+ 00:21:22,060 --> 00:21:28,080
939
+ ุดูˆูŠุฉ ุฏู‡ ู‡ูŠ minus ุงู„ negative 0.4 ุฒูŠ ุงู„ plus ุจุณ ุฅูŠุด
940
+
941
+ 236
942
+ 00:21:28,080 --> 00:21:39,460
943
+ one minus ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ ูƒู…ู†ุง minus
944
+
945
+ 237
946
+ 00:21:39,460 --> 00:21:43,020
947
+ three four four six
948
+
949
+ 238
950
+ 00:21:45,940 --> 00:21:49,040
951
+ ู„ุญุธุฉ ู„ุงู† ุงู„ุฌูˆุงุจ ุทู„ุนุช ูˆุฒู…ูŠู„ุชูƒ ู„ุฅู† ุฑูˆุญุช ุงู„ู€ negative
952
+
953
+ 239
954
+ 00:21:49,040 --> 00:21:54,920
955
+ ู„ูˆ ุญุจูŠุช ุฃุชุฃูƒุฏ ุทู„ุน ู‡ูŠ ุงู„ู€ negative 0.4 ุงู„ู„ูŠ ู‡ูŠ
956
+
957
+ 240
958
+ 00:21:54,920 --> 00:21:59,100
959
+ ุงู„ู‚ูŠู…ุฉ ุฏูŠ ุทู„ุนุช ุดูˆูŠุฉ ุจุณ ู‡ูŠ ุงู„ู€ negative 0.4 ๏ฟฝ๏ฟฝู„ู„ูŠ ู‡ูŠ
960
+
961
+ 241
962
+ 00:21:59,100 --> 00:22:04,340
963
+ 0.3446 ูˆุงุถุญุŸ
964
+
965
+ 242
966
+ 00:22:04,340 --> 00:22:08,220
967
+ ุฅุฐุง ุจุทู„ุน ุงู„ positive ู„ูˆ ุนุงูŠุฒ ุงู„ negative one minus
968
+
969
+ 243
970
+ 00:22:09,170 --> 00:22:12,670
971
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ููŠ ุดุจุชุฑ 6 ุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ูˆุงุถู‚ ู…ู†
972
+
973
+ 244
974
+ 00:22:12,670 --> 00:22:25,630
975
+ ู†ูุณูƒ ููŠู‡ ูุงู„ุฌูˆุงุจ ุจุทู„ุน 3108 point 3108 so
976
+
977
+ 245
978
+ 00:22:25,630 --> 00:22:30,870
979
+ again we have this probability between x bar
980
+
981
+ 246
982
+ 00:22:30,870 --> 00:22:36,250
983
+ between 7.8 and 8.2 you
984
+
985
+ 247
986
+ 00:22:36,250 --> 00:22:37,670
987
+ have to convert to this score
988
+
989
+ 248
990
+ 00:22:40,610 --> 00:22:44,330
991
+ ู„ุฐู„ูƒ ุจุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ x-mean over sigma over
992
+
993
+ 249
994
+ 00:22:44,330 --> 00:22:47,630
995
+ root n ูˆู†ู†ุชู‡ูŠ ุจz ุจูŠู† ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
996
+
997
+ 250
998
+ 00:22:47,630 --> 00:22:48,170
999
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
1000
+
1001
+ 251
1002
+ 00:22:48,170 --> 00:22:57,510
1003
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
1004
+
1005
+ 252
1006
+ 00:23:08,860 --> 00:23:17,360
1007
+ ู…ุซู„ู‹ุง ู†ุจุญุซ ุนู† ุจูŠูˆุจ ุงูƒุณุจุงุฑ ุฃูƒุจุฑ ู…ู† 10 ุฃูƒุจุฑ
1008
+
1009
+ 253
1010
+ 00:23:17,360 --> 00:23:22,120
1011
+ ู…ู† ุนุดุฑุฉ ู…ุฏู‘ูŠ
1012
+
1013
+ 254
1014
+ 00:23:22,120 --> 00:23:23,640
1015
+ ูˆุงุญุฏุฉ ุชุทู„ุน ุชุญู„ู‡ุง
1016
+
1017
+ 255
1018
+ 00:23:32,420 --> 00:23:36,680
1019
+ ุชุดูˆู ุฃูˆู„ ุญุงุฌุฉ ุนู…ู„ุช ุชุฒู…ูŠู„ุชูƒ ุนู…ู„ุช one minus ู„ุฃู† area
1020
+
1021
+ 256
1022
+ 00:23:36,680 --> 00:23:46,740
1023
+ to the right equals one minus area to the left ุงูŠุด
1024
+
1025
+ 257
1026
+ 00:23:46,740 --> 00:23:50,680
1027
+ ุดุบุงู„ูˆู†ู‡ู…ุŸ
1028
+
1029
+ 258
1030
+ 00:23:50,680 --> 00:23:58,440
1031
+ ูƒูˆูŠุณ ุฎู„ูŠู†ูŠ
1032
+
1033
+ 259
1034
+ 00:23:58,440 --> 00:24:04,030
1035
+ ุฃูƒู…ู„ ู…ุนุงูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉูˆ ุงุชุญูˆู„ ุงู„ X bar ู„ Z ูƒูˆูŠุณุŸ
1036
+
1037
+ 260
1038
+ 00:24:04,030 --> 00:24:13,650
1039
+ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ ู‡ูŠ one minus ุจูŠ X bar ุญุตูŠุฑ Z ุงู‚ู„ ู…ู† ู‡ูŠ
1040
+
1041
+ 261
1042
+ 00:24:13,650 --> 00:24:19,710
1043
+ ุงู„ X bar ุนุดุฑุฉ minus ูƒุงู…ู„ุฉ minus ุงู„ mean ู‡ูŠ ุงู„ mean
1044
+
1045
+ 262
1046
+ 00:24:19,710 --> 00:24:23,990
1047
+ eight ูˆ sigma X bar one half
1048
+
1049
+ 263
1050
+ 00:24:28,240 --> 00:24:37,740
1051
+ ุจุชุทู„ุน one minus ุจูŠูˆู ุฒูŠ less than four ุฅู„ู‰
1052
+
1053
+ 264
1054
+ 00:24:37,740 --> 00:24:41,920
1055
+ ู…ู† ุบูŠุฑ ุงู„ table ุฒูŠ ุฃู‚ู„ ู…ู† ุฃุฑุจุนุฉ ู…ุด ุจุชุณุงูˆูŠ ุจูŠูˆู ุฒูŠ
1056
+
1057
+ 265
1058
+ 00:24:41,920 --> 00:24:47,940
1059
+ less than four this
1060
+
1061
+ 266
1062
+ 00:24:47,940 --> 00:24:54,740
1063
+ is
1064
+
1065
+ 267
1066
+ 00:24:54,740 --> 00:25:08,980
1067
+ fourso the area to the left of four ู…ุด ุจุชุณุงูˆูŠ ูƒู„ู‡ุง
1068
+
1069
+ 268
1070
+ 00:25:08,980 --> 00:25:14,140
1071
+ ุฏูŠ zero ุทูŠุจ
1072
+
1073
+ 269
1074
+ 00:25:14,140 --> 00:25:18,800
1075
+ ุทุงู„ู…ุง ุนู„ู‰ ุงู„ table ุงู„ table ุงู„ู…ุนู†ู‰ ุจุชุชุฐูƒุฑ ูŠุง ุฃุฎูˆ
1076
+
1077
+ 270
1078
+ 00:25:18,800 --> 00:25:23,140
1079
+ ุงู„ู…ุฑุฉ ุญูƒูŠู†ุง ุนู† ุงู„ table ู„ุบุงูŠุฉ
1080
+
1081
+ 271
1082
+ 00:25:23,140 --> 00:25:29,560
1083
+ ู„ุบุงูŠุฉ three point fourูˆุชุญุช ุงู„ุชุณุนุฉ ุงู„ุฌูˆุงุจ 9998 ูŠุนู†ูŠ
1084
+
1085
+ 272
1086
+ 00:25:29,560 --> 00:25:37,120
1087
+ ู„ุบุงูŠุฉ ู‡ู†ุง 3.49 ุงู„ area to the left 9998
1088
+
1089
+ 273
1090
+ 00:25:37,120 --> 00:25:41,940
1091
+ ุงู†ุง ู…ุด ุนุงูŠุฒ 3.49 ุงูƒุจุฑ ูƒู…ุงู† ุฑูˆุญุช ุดูˆูŠุฉ ุนู„ูŠ ุงู„ูŠู…ูŠู†
1092
+
1093
+ 274
1094
+ 00:25:41,940 --> 00:25:47,320
1095
+ approximately ูˆุงุญุฏ ุงุฐุง ู‡ุงูŠ ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„
1096
+
1097
+ 275
1098
+ 00:25:47,320 --> 00:25:54,240
1099
+ ู‡ู†ุง ู†ุงู‚ุต ูˆุงุญุฏ ูุงู„ุฌูˆุงุจ ูŠุณุชุฎุฏู… ุชู‚ุฑูŠุจุง zeroุฅุฐุง ู„ู…ุง
1100
+
1101
+ 276
1102
+ 00:25:54,240 --> 00:26:00,300
1103
+ ุฃูƒูˆู† ุนู†ุฏูŠ z value is not listed positive
1104
+
1105
+ 277
1106
+ 00:26:00,300 --> 00:26:04,060
1107
+ not listed means one I mean greater than point
1108
+
1109
+ 278
1110
+ 00:26:04,060 --> 00:26:09,340
1111
+ four negative is not listed zero so the
1112
+
1113
+ 279
1114
+ 00:26:09,340 --> 00:26:17,960
1115
+ probability equals in this case zero one
1116
+
1117
+ 280
1118
+ 00:26:17,960 --> 00:26:28,460
1119
+ more b of x bar less thanุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ 5 ุงุญุชู…ุงู„
1120
+
1121
+ 281
1122
+ 00:26:28,460 --> 00:26:34,140
1123
+ X bar ุฃู‚ู„ ู…ู† ุฎู…ุณุฉ ุฃุฎุฏ ุฃูˆู„ ูˆุงุญุฏุฉ ุจูŠู† two values
1124
+
1125
+ 282
1126
+ 00:26:34,140 --> 00:26:38,360
1127
+ number two X bar greater than ten now number three
1128
+
1129
+ 283
1130
+ 00:26:38,360 --> 00:26:43,040
1131
+ X bar less than five what's probability of X bar
1132
+
1133
+ 284
1134
+ 00:26:43,040 --> 00:26:44,240
1135
+ less than five
1136
+
1137
+ 285
1138
+ 00:26:56,490 --> 00:27:05,810
1139
+ ู†ู‚ุตุฉ eight ุนู„ู‰ one half ุฒูŠ less than negative six
1140
+
1141
+ 286
1142
+ 00:27:05,810 --> 00:27:13,110
1143
+ ู„ุญุธุฉ
1144
+
1145
+ 287
1146
+ 00:27:13,110 --> 00:27:17,610
1147
+ negative six againุงู„ุดุฎุต ุงู„ู„ูŠ ู„ุฏูŠู‡ ููŠ ุงู„ู…ุทุงู„ุจ ู‡ูˆ
1148
+
1149
+ 288
1150
+ 00:27:17,610 --> 00:27:24,370
1151
+ ู†ุฌุงุชู 3.4 ุฃุณูู„ 9 ูˆู‡ูˆ 0002 ุฅุฐุง
1152
+
1153
+ 289
1154
+ 00:27:24,370 --> 00:27:26,970
1155
+ ุงู„ู„ูŠ ุจุชุทู„ุน ุฃู‚ู„ ู…ู† ุณู„ุจ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1156
+
1157
+ 290
1158
+ 00:27:26,970 --> 00:27:31,450
1159
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1160
+
1161
+ 291
1162
+ 00:27:31,450 --> 00:27:32,970
1163
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1164
+
1165
+ 292
1166
+ 00:27:32,970 --> 00:27:37,290
1167
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1168
+
1169
+ 293
1170
+ 00:27:37,290 --> 00:27:37,790
1171
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1172
+
1173
+ 294
1174
+ 00:27:37,790 --> 00:27:37,970
1175
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1176
+
1177
+ 295
1178
+ 00:27:37,970 --> 00:27:43,690
1179
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1180
+
1181
+ 296
1182
+ 00:27:43,690 --> 00:27:50,260
1183
+ ู†ุฌุงุชูˆู„ูƒู†ู†ุง ู†ุจุญุซ ุนู† ุงู„ู€-6 ุŒ ู„ุฐู„ูƒ ุงู„ู€-6 ููŠ ู‡ุฐู‡
1184
+
1185
+ 297
1186
+ 00:27:50,260 --> 00:27:55,100
1187
+ ุงู„ุทุฑูŠู‚ุฉ ุŒ ู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‚ุฑูŠุจุฉ ุฌุฏู‹ุง ู…ู† ุฃู† ุชูƒูˆู†
1188
+
1189
+ 298
1190
+ 00:27:55,100 --> 00:28:08,960
1191
+ ุตูุฑู‹ุง ุŒ ูุฅู†ู†ุง
1192
+
1193
+ 299
1194
+ 00:28:08,960 --> 00:28:11,380
1195
+ ู†ุจุญุซ ุนู† ุงู„ุงูƒุชุดุงู ุฃูƒุจุฑ ู…ู† 5
1196
+
1197
+ 300
1198
+ 00:28:14,750 --> 00:28:21,110
1199
+ x bar ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ู…ุด ุงู„ุฌูˆุงุจ ูˆุงุญุฏ ู„ุฃูŠ one minus b
1200
+
1201
+ 301
1202
+ 00:28:21,110 --> 00:28:26,390
1203
+ of x bar less than five one minus zero is one
1204
+
1205
+ 302
1206
+ 00:28:49,230 --> 00:28:56,290
1207
+ ู…ุงู‡ูˆ ู‚ูŠู…ุฉ aุŸ ุงูŠุด ู‚ูŠู…ุฉ ุงู„ู€ aุŸ ู„ุฅู† ู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ูŠู‚ู„
1208
+
1209
+ 303
1210
+ 00:28:56,290 --> 00:29:02,910
1211
+ 0.65 ุฅู„ู‰ ุงู„ุนูƒุณ ุงู„ู€ B ู…ูุนุฑูˆู ูˆู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐุง
1212
+
1213
+ 304
1214
+ 00:29:02,910 --> 00:29:09,090
1215
+ ุงู„ู‚ูŠู…ุฉ A ูƒูŠู ุฃุทู„ุน ุงู„ู€ AุŸ ุนู…ู„ูŠุฉ ุนูƒุณูŠุฉ ุงู„ุฃูˆู„
1216
+
1217
+ 305
1218
+ 00:29:09,090 --> 00:29:14,410
1219
+ ุงู„ูˆุงู‚ุนูŠุฉ ูƒุงู†ุช ุบูŠุฑ ู…ุนุฑูˆูุฉ ูˆู†ุฌุฏุช ุงู„ูˆุงู‚ุนูŠุฉ ูˆ X bar
1220
+
1221
+ 306
1222
+ 00:29:14,410 --> 00:29:19,670
1223
+ ูƒุงู†ุช ู…ูุนุฑูˆูุฉุฅูƒุณ ุจุงุฑ ู„ูŠุณ ู…ูุนุฑูˆูู‹ุงุŒ A ุบูŠุฑ ู…ุนุฑูˆูู‹ุงุŒ
1224
+
1225
+ 307
1226
+ 00:29:19,670 --> 00:29:24,850
1227
+ ูˆู‡ุฐู‡ ุงู„ู…ุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ AุŸ
1228
+
1229
+ 308
1230
+ 00:29:24,850 --> 00:29:34,490
1231
+ ุจู…ุนู†ู‰ ุฐู„ูƒุŒ ุฅุฌุฏ ู…ู‚ุงุฑู†ุฉ ZุŒ
1232
+
1233
+ 309
1234
+ 00:29:34,490 --> 00:29:40,310
1235
+ ุฅุฐุง ุฅูƒุณ ุจุงุฑ ู…ุงู†ูˆุณ ู…ูŠูˆ ุนุจุฑ ุณูŠุฌู…ุง ZุŒ
1236
+
1237
+ 310
1238
+ 00:29:40,310 --> 00:29:50,380
1239
+ ุซู… A ู…ุงู†ูˆุณ ู…ูŠู† ุนุจุฑ ุณูŠุฌู…ุงู‡ุฐุง ูŠู‚ู„ ู„ู€ 0.65. ุงู„ุขู† ูŠุฌุจ
1240
+
1241
+ 311
1242
+ 00:29:50,380 --> 00:29:57,560
1243
+ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰ ู…ุนุฑูˆู ุงู„ู€ 0.65 ููŠ ุงู„ู…ุนุฑูุฉ. ู„ุฐู„ูƒ 0.65
1244
+
1245
+ 312
1246
+ 00:29:57,560 --> 00:30:05,260
1247
+ ูŠุนู†ูŠ Z positive. ู„ุฐู„ูƒ ุงู†ุธุฑ ุฅู„ู‰ 0.65. ู„ุฐู„ูƒ ูู‚ุท ู†ู†ุธุฑ
1248
+
1249
+ 313
1250
+ 00:30:05,260 --> 00:30:08,980
1251
+ ุฅู„ู‰ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ูŠุณ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ. ู„ุฐู„ูƒ 6 5
1252
+
1253
+ 314
1254
+ 00:30:08,980 --> 00:30:11,620
1255
+ ู…ุง ู‡ูˆ 6 5ุŸ ู„ุฏูŠู†ุง
1256
+
1257
+ 315
1258
+ 00:30:27,080 --> 00:30:33,620
1259
+ ูŠุง ุงู…ุง ุงู„ุฃูˆู„ู‰ ุงูˆ ุงู„ุชุงู†ูŠุฉ ูˆุงุถุญ ุงู„ุงุฎุฑ ุจู…ูŠู† ุงู„ุชุงู†ูŠุฉ
1260
+
1261
+ 316
1262
+ 00:30:33,620 --> 00:30:38,690
1263
+ ุงู† ุงู†ุง ุณุจุนุชุงุด ุจุฒูŠ ุงู„ุณุจุนุชุงุด ู‡ุฐู‡ ุจุชุฎู„ู‰ ุจุนุดุฑูŠู†ุฃูŠ
1264
+
1265
+ 317
1266
+ 00:30:38,690 --> 00:30:41,990
1267
+ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ูุฑู‚ ุจุณูŠุท ุฒูŠ ู…ุซู„ุง ุญูŠู† ุฃู†ุง ู‚ุจู„ ู‡ูŠูƒ ุชุทู„ุน
1268
+
1269
+ 318
1270
+ 00:30:41,990 --> 00:30:47,410
1271
+ ุงู„ sigma 1.35 1.12 ุฃูˆ ุงู„ 19 ุงู„ุณุงุจู‚ ูƒุงู† ุงู„ table
1272
+
1273
+ 319
1274
+ 00:30:47,410 --> 00:30:51,690
1275
+ ุจูŠุนุทูŠ approximate result ูุฎู„ู‘ูŠู†ูŠ ุฃุฎุฏ ุงู„ุฃุฎูŠุฑุฉ ู†ูุชุฑุถ
1276
+
1277
+ 320
1278
+ 00:30:51,690 --> 00:30:58,570
1279
+ ูˆ ุจุทู„ุน ุงู„ z ุฅูŠุด ุจุณุงูˆูŠ 0.3 under 9 ุฅุฐุง ุงู„ z equal 0
1280
+
1281
+ 321
1282
+ 00:30:58,570 --> 00:31:04,370
1283
+ .3 under 9 ูู‡ุฐุง ุฅูŠุด ุจูŠุณุงูˆูŠ ุงู„ู„ูŠ
1284
+
1285
+ 322
1286
+ 00:31:04,370 --> 00:31:09,550
1287
+ ุจูŠุณุงูˆูŠ ุงู„ a minus eight over one halfุฃูˆ ุฅุฐุง ุชุฐูƒุฑ
1288
+
1289
+ 323
1290
+ 00:31:09,550 --> 00:31:14,410
1291
+ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ูˆ a ุจุณุงูˆูŠุฉ ู…ูŠูˆ ุฒุงุฆุฑ ุฒูŠ ุณูŠุฌู…ุง X bar
1292
+
1293
+ 324
1294
+ 00:31:14,410 --> 00:31:20,170
1295
+ ู†ูุณ ุงู„ู‚ุตุฉ ุฅุฐุง ู…ุง ุจุณุชุฎุฏู… ุงู„ equation ู‡ุฐู‡ ุฃูˆ ุฃุญูƒูŠ
1296
+
1297
+ 325
1298
+ 00:31:20,170 --> 00:31:25,370
1299
+ ุนู„ู‰ ุทูˆู„ a equal ู…ูŠูˆ plus ุฒูŠ ุณูŠุฌู…ุง X bar ุงู„ู…ูŠูˆุด
1300
+
1301
+ 326
1302
+ 00:31:25,370 --> 00:31:31,530
1303
+ ุจุณุงูˆูŠุฉ eight ูˆุงู„ุณูŠุฌู…ุง ูˆุงู„ุฒูŠ ุชุณุนุฉ ูˆุชู„ุงุชูŠู† ูˆุณูŠุฌู…ุง X
1304
+
1305
+ 327
1306
+ 00:31:31,530 --> 00:31:33,370
1307
+ bar ุทู„ุนู†ุงู‡ุง one half
1308
+
1309
+ 328
1310
+ 00:31:54,390 --> 00:31:59,910
1311
+ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู€ probability between two values ุงูˆ
1312
+
1313
+ 329
1314
+ 00:31:59,910 --> 00:32:08,130
1315
+ between a and b ุงูˆ upper tail ุงูˆ left tailุฃูˆ ููŠ
1316
+
1317
+ 330
1318
+ 00:32:08,130 --> 00:32:12,730
1319
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ูุฅู† ุงู„ู…ุตุงุฏุฑ ุงู„ู…ุณุชุญูŠู„ุฉ ูˆู†ุจุญุซ ุนู† ู‚ูŠู…ุฉ A
1320
+
1321
+ 331
1322
+ 00:32:12,730 --> 00:32:17,390
1323
+ ู‡ุงูŠ ูƒู„ ุงู„ุฃููƒุงุฑ ุงู„ู…ู…ูƒู†ุฉ ู…ุงุนู†ุงุด ุฃูƒุชุฑ ู…ู† ู‡ูŠูƒ ููŠ ุฃูŠ
1324
+
1325
+ 332
1326
+ 00:32:17,390 --> 00:32:20,950
1327
+ ุณุคุงู„ ุญุชู‰
1328
+
1329
+ 333
1330
+ 00:32:20,950 --> 00:32:28,250
1331
+ ุงู„ุขู† ู†ุชุญุฏุซ ุนู† ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฅุฐุง ุชุชุฐูƒุฑ ููŠ
1332
+
1333
+ 334
1334
+ 00:32:28,250 --> 00:32:32,550
1335
+ ุงู„ุณู„ุงุณุฉ ุงู„ุฃูˆู„ู‰ ุฐูƒุฑู†ุง ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู‡ู†ุงูƒ
1336
+
1337
+ 335
1338
+ 00:32:32,550 --> 00:32:39,660
1339
+ ุงุชุณุงุจู‚ูŠู† ุชู‚ู„ูŠุฏูŠุฉ ูˆุชู‚ู„ูŠุฏูŠุฉุงู„ู€ sample mean ู‡ูˆ ุงู„ู„ูŠ
1340
+
1341
+ 336
1342
+ 00:32:39,660 --> 00:32:51,100
1343
+ ู‚ู…ู†ุง ุจู‡ ูู‚ุท ู„ู„ุจูŠุงู†ุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1344
+
1345
+ 337
1346
+ 00:32:51,100 --> 00:32:51,840
1347
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1348
+
1349
+ 338
1350
+ 00:32:51,840 --> 00:32:51,860
1351
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1352
+
1353
+ 339
1354
+ 00:32:51,860 --> 00:32:51,940
1355
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1356
+
1357
+ 340
1358
+ 00:32:51,940 --> 00:32:53,460
1359
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1360
+
1361
+ 341
1362
+ 00:32:53,460 --> 00:32:54,780
1363
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1364
+
1365
+ 342
1366
+ 00:32:54,780 --> 00:32:57,200
1367
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1368
+
1369
+ 343
1370
+ 00:32:57,200 --> 00:33:04,300
1371
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…
1372
+
1373
+ 344
1374
+ 00:33:04,920 --> 00:33:15,940
1375
+ ุงู„ู‚ูˆุงู„ุงุช ู„ูŠุณุช ููŠู‡ุง ุฃุฑู‚ุงู… ุณุฃู‚ุฏู…
1376
+
1377
+ 345
1378
+ 00:33:15,940 --> 00:33:20,660
1379
+ ูู‚ุท ุชู‚ุฑูŠุจู‹ุง ุนู† ู…ุฌุชู…ุน ุจุฑุจูˆุดู‡ุฒู† ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก
1380
+
1381
+ 346
1382
+ 00:33:20,660 --> 00:33:28,320
1383
+ ุงู„ู„ู‡ ุณู†ูƒู…ู„ ูƒู…ุง ุฐูƒุฑู†ุง ุนู…ุฑ ูˆุฑู‚ู…
1384
+
1385
+ 347
1386
+ 00:33:28,320 --> 00:33:30,760
1387
+ ูˆู‚ูŠู… ูˆุณุนูˆุฏูŠุฉ
1388
+
1389
+ 348
1390
+ 00:33:40,270 --> 00:33:46,030
1391
+ ู‡ุคู„ุงุก ู…ุซุงู„ูŠู† ู„ู„ุจูŠุงู†ุงุช
1392
+
1393
+ 349
1394
+ 00:33:46,030 --> 00:33:52,330
1395
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฅุฐุง
1396
+
1397
+ 350
1398
+ 00:33:52,330 --> 00:33:57,710
1399
+ ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชู‚ู„ูŠุฏูŠุฉ ุฃูˆ ุจูŠุงู†ุงุช ู†ู…ูŠุฐูŠุฉ ุซู…
1400
+
1401
+ 351
1402
+ 00:33:57,710 --> 00:34:00,110
1403
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ุตู…ู… ุงู„ุชุฌุงุฑุจ
1404
+
1405
+ 352
1406
+ 00:34:02,850 --> 00:34:06,470
1407
+ ุงู„ุนู†ูˆุงู† ุงู„ุณุงุจู„ ูŠุนู…ู„ ู…ุนู†ู‰ ุฅุฐุง ูƒุงู† ุงู„ู…ุนู„ูˆู…ุงุช ุนู…ู„ูŠุฉ
1408
+
1409
+ 353
1410
+ 00:34:06,470 --> 00:34:10,830
1411
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1412
+
1413
+ 354
1414
+ 00:34:10,830 --> 00:34:11,030
1415
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1416
+
1417
+ 355
1418
+ 00:34:11,030 --> 00:34:11,110
1419
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1420
+
1421
+ 356
1422
+ 00:34:11,110 --> 00:34:11,830
1423
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1424
+
1425
+ 357
1426
+ 00:34:11,830 --> 00:34:13,670
1427
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1428
+
1429
+ 358
1430
+ 00:34:13,670 --> 00:34:16,830
1431
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1432
+
1433
+ 359
1434
+ 00:34:16,830 --> 00:34:30,170
1435
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠ
1436
+
1437
+ 360
1438
+ 00:34:30,610 --> 00:34:35,870
1439
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ุง ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ู†ู…ุฑูŠูƒูŠุฉ ู„ู‡ุฐู‡ ุงู„ุฅุฌุงุจุฉุŒ
1440
+
1441
+ 361
1442
+ 00:34:35,870 --> 00:34:39,930
1443
+ ู„ุฐู„ูƒ ุงู„ุฅุฌุงุจุฉ ู„ุง ูŠุฌุจ ุฃู† ุชูƒูˆู† ู†ู…ุฑูŠูƒูŠุฉุŒ ูŠุฌุจ ุฃู† ุชูƒูˆู†
1444
+
1445
+ 362
1446
+ 00:34:39,930 --> 00:34:47,550
1447
+ ุฅู…ุง ู†ุนู… ุฃูˆ ู„ุง. ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู€ qualitative. ุฅุฐุง ุนู„ู‰
1448
+
1449
+ 363
1450
+ 00:34:47,550 --> 00:34:53,630
1451
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู‡ู†ุงูƒ ุฎู…ุณุฉ
1452
+
1453
+ 364
1454
+ 00:34:53,630 --> 00:34:57,730
1455
+ ุทู„ุงุจ ุณุฃู„ู†ุงู‡ู…
1456
+
1457
+ 365
1458
+ 00:34:57,730 --> 00:35:02,090
1459
+ ู‡ู„ ุชูุถู„ ู‚ู‡ูˆุฉ A ุฃูˆ BุŸูˆุฎู„ู‘ูŠู†ูŠ ุฃุญูƒูŠ ุฃู†ู†ุง ู…ู‡ุชู…ูŠู† ุจู€
1460
+
1461
+ 366
1462
+ 00:35:02,090 --> 00:35:09,150
1463
+ cafe A ุจุณ So suppose we have two types A or B and
1464
+
1465
+ 367
1466
+ 00:35:09,150 --> 00:35:15,010
1467
+ the question is do you prefer cafe A suppose 35
1468
+
1469
+ 368
1470
+ 00:35:15,010 --> 00:35:22,350
1471
+ students answer yes ุฎู…ุณุฉ ูˆ ุชู„ุงุชูŠู† ูˆุงุญุฏ ู…ู†ู‡ู… ุฌุงุจ
1472
+
1473
+ 369
1474
+ 00:35:22,350 --> 00:35:28,890
1475
+ ู†ุนู…ู…ุนู†ู‰ x ุงูŠู‚ุงู„ ุชู„ุช ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1476
+
1477
+ 370
1478
+ 00:35:28,890 --> 00:35:29,890
1479
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1480
+
1481
+ 371
1482
+ 00:35:29,890 --> 00:35:32,810
1483
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1484
+
1485
+ 372
1486
+ 00:35:32,810 --> 00:35:38,270
1487
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1488
+
1489
+ 373
1490
+ 00:35:38,270 --> 00:35:40,810
1491
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1492
+
1493
+ 374
1494
+ 00:35:40,810 --> 00:35:42,210
1495
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1496
+
1497
+ 375
1498
+ 00:35:56,860 --> 00:36:10,180
1499
+ ู…ุซู„ ู†ุณุจุฉ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1500
+
1501
+ 376
1502
+ 00:36:10,180 --> 00:36:12,720
1503
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1504
+
1505
+ 377
1506
+ 00:36:12,720 --> 00:36:13,620
1507
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1508
+
1509
+ 378
1510
+ 00:36:13,620 --> 00:36:13,640
1511
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1512
+
1513
+ 379
1514
+ 00:36:13,640 --> 00:36:24,440
1515
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1516
+
1517
+ 380
1518
+ 00:36:24,440 --> 00:36:31,150
1519
+ ู†ุณุจุฉmy fifth ู…ุธุจูˆุท ุจุนุฏ ูƒุฏู‡ ุฌุณู…ุช 35 ุนู„ู‰ 50 ูŠุนู†ูŠ
1520
+
1521
+ 381
1522
+ 00:36:31,150 --> 00:36:41,970
1523
+ ุฌุณู…ุช ุงู„ X ุนู„ู‰ N equals 0.7 ุณุงู…ุจู„
1524
+
1525
+ 382
1526
+ 00:36:41,970 --> 00:36:47,410
1527
+ ุงู„ุจุฑูˆุจุงุฑุด ู†ูุณู‡ was none of us ูˆู„ุง ูˆุงุญุฏ ู…ู†ู†ุง prefer
1528
+
1529
+ 383
1530
+ 00:36:47,410 --> 00:36:53,820
1531
+ A none of us prefer ูƒุงูุฉ AููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ู…ู‚ุงุฑู†ุฉ
1532
+
1533
+ 384
1534
+ 00:36:53,820 --> 00:37:01,080
1535
+ ุชู‚ุฑูŠุจู‹ุง X ุนู„ู‰ N ูˆู‡ูˆ ู†ุตู ู…ุซู„ู‹ุง
1536
+
1537
+ 385
1538
+ 00:37:01,080 --> 00:37:08,620
1539
+ ู…ุซู„ู‹ุง ุŒ ูุฅู† ุฌู…ูŠุนู†ุง ุฌู…ูŠุนู†ุง ู†ุญุจ ุงู„ูƒุงููŠู‡ ุŒ ู„ุฐู„ูƒ
1540
+
1541
+ 386
1542
+ 00:37:08,620 --> 00:37:15,840
1543
+ ู…ู‚ุงุฑู†ุฉ X ูŠู‚ู„ 50 ุนู„ู‰ 50 ู‡ูŠ ูˆุงุญุฏุฉ ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
1544
+
1545
+ 387
1546
+ 00:37:15,840 --> 00:37:23,950
1547
+ ู‡ุฐุง ุงู„ู…ู‚ุงุฑู†ุฉ ุฏุงุฆู…ู‹ุง ุจูŠู†0 ูˆ 1ุŒ ู‚ุฏ ุชูƒูˆู† 0 ูˆ ู‚ุฏ ุชูƒูˆู†
1548
+
1549
+ 388
1550
+ 00:37:23,950 --> 00:37:28,930
1551
+ 1ุŒ ู„ูƒู† ุฃูƒุชุฑ ู…ู† ุงู„ูˆู‚ุช ุจูŠู† 0 ูˆ 1 ุฅุฐุง ุงู„ู€ B ุฏุงูŠู…ู‹ุง
1552
+
1553
+ 389
1554
+ 00:37:28,930 --> 00:37:36,330
1555
+ non-negative ุจูŠู† 0 ูˆ 1ุŒ ุงู„ู€ range ุชุจุนู‡ุง ุจูŠู† 0 ูˆ 1ุŒ
1556
+
1557
+ 390
1558
+ 00:37:36,330 --> 00:37:39,590
1559
+ ู„ุง ูŠูˆุฌุฏ probability ุชูƒูˆู† ู†ูŠุฌุงุชูŠุจุŒ ุฅู…ุง ุฃู†ูƒ ุชูุถู„ุŒ
1560
+
1561
+ 391
1562
+ 00:37:39,590 --> 00:37:45,630
1563
+ ุฅุฐุง ู„ู… ุชูุถู„ุŒ ูŠุนู†ูŠ ุจูŠู‚ู„ 0ุŒ ู„ูƒู† ู‚ูŠู…ุฉ ุฃุนู„ู‰ 1ุŒ ูู‚ูŠู…ุฉ
1564
+
1565
+ 392
1566
+ 00:37:45,630 --> 00:37:52,010
1567
+ ุฃุนู„ู‰ ู„ุง ุชุชุฌุงูˆุฒ 1ุŒ ุนู…ุฑู‡ุง ุจุฒูŠุฏ ุนู† 1ุฏุงุฆู…ุง ุงู„ B ุจูŠู† 0
1568
+
1569
+ 393
1570
+ 00:37:52,010 --> 00:37:57,970
1571
+ ูˆ 1 ู†ูุณ ุงู„ูˆู‚ุช ุณุฃู‚ูˆู… ุจุงุณุชู…ุฑุงุฑ ูˆ ุฃุนุทูŠ ู†ุณุจุฉ ุงู„ุชุฌุงุฑุจ
1572
+
1573
+ 394
1574
+ 00:37:57,970 --> 00:37:59,210
1575
+ ู†ุณุจุฉ ุงู„ู…ุฌุชู…ุน
1576
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/v3xbH8RPuA0_postprocess.srt ADDED
@@ -0,0 +1,2136 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,820 --> 00:00:26,280
3
+ ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ ู†ูƒู…ู„ chapter three chapter
4
+
5
+ 2
6
+ 00:00:26,280 --> 00:00:28,760
7
+ three talks about numerical descriptive measures
8
+
9
+ 3
10
+ 00:00:28,760 --> 00:00:33,240
11
+ last time we discussed three measures of central
12
+
13
+ 4
14
+ 00:00:33,240 --> 00:00:37,480
15
+ tendency the measures are if you remember the mean
16
+
17
+ 5
18
+ 00:00:37,480 --> 00:00:45,240
19
+ median and the mode today ุฅู† ุดุงุก ุงู„ู„ู‡ will
20
+
21
+ 6
22
+ 00:00:45,240 --> 00:00:49,280
23
+ continue the first issue here which measure to
24
+
25
+ 7
26
+ 00:00:49,280 --> 00:00:55,970
27
+ choose suppose we havethe values of mean median
28
+
29
+ 8
30
+ 00:00:55,970 --> 00:01:05,810
31
+ and mode which measure to choose ู…ูŠู† ุงุฎุชุงุฑ ู…ู†ู‡ู… ุงู„
32
+
33
+ 9
34
+ 00:01:05,810 --> 00:01:11,910
35
+ mean is generally used unless extreme values exist
36
+
37
+ 10
38
+ 00:01:11,910 --> 00:01:17,770
39
+ ุงุฐุง ุงู†ุง ุนุงุฏุฉ ุจุณุชุฎุฏู… ุงู„ mean ู…ุง ู„ู… ูŠูƒู† ููŠู‡extreme
40
+
41
+ 11
42
+ 00:01:17,770 --> 00:01:21,910
43
+ values ู‚ูŠู… ู…ุชุทุฑูุฉ or outliers ุฅุฐุง in general we
44
+
45
+ 12
46
+ 00:01:21,910 --> 00:01:25,890
47
+ have to use the mean if the data does not have
48
+
49
+ 13
50
+ 00:01:25,890 --> 00:01:30,530
51
+ outliers or extreme values so the mean is
52
+
53
+ 14
54
+ 00:01:30,530 --> 00:01:34,170
55
+ generally used unless we have some extreme value
56
+
57
+ 15
58
+ 00:01:34,170 --> 00:01:37,150
59
+ sometimes one extreme value can affect the value
60
+
61
+ 16
62
+ 00:01:37,150 --> 00:01:41,450
63
+ of the mean so in this case we have to avoidavoid
64
+
65
+ 17
66
+ 00:01:41,450 --> 00:01:45,610
67
+ ุนู† ุงุชุฌู†ุจ using the mean we have to use the other
68
+
69
+ 18
70
+ 00:01:45,610 --> 00:01:49,210
71
+ major which is called the median the median is
72
+
73
+ 19
74
+ 00:01:49,210 --> 00:01:55,500
75
+ often usedุจุณุจุจ ุฃู† ุงู„ู…ุตุทู„ุญ ู„ูŠุณ ุดุฎุตูŠู‹ุง ู„ู‚ูŠู… ุฃุนุธู… ูƒู…ุง
76
+
77
+ 20
78
+ 00:01:55,500 --> 00:02:01,360
79
+ ุฐูƒุฑู†ุง ููŠ ุงู„ุณุงุจู‚ ุงู„ู…ุตุทู„ุญ ู„ูŠุณ ุดุฎุตูŠู‹ุง ู„ุฎุทูˆุท ุฃุฎุฑู‰ ู…ู†
80
+
81
+ 21
82
+ 00:02:01,360 --> 00:02:05,380
83
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุนูŠู† ูููŠ ุญุงู„ุฉ ุฎุทูˆุท ุฃุฎุฑู‰ ุฃุนู†ูŠ ุฅุฐุง ูƒุงู†ุช
84
+
85
+ 22
86
+ 00:02:05,380 --> 00:02:09,380
87
+ ุงู„ุฎุทูˆุท ุฃุฎุฑู‰ ู…ูˆุฌูˆุฏุฉ ูŠุฌุจ ุฃู† ู†ุฎุชุงุฑ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุนูŠู†
88
+
89
+ 23
90
+ 00:02:09,380 --> 00:02:16,400
91
+ ุงู„ู…ุตุทู„ุญ ุงู„ู…ุนูŠู† ูŠุณุชุฎุฏู… ููŠ ุญุงู„ุฉ ู„ุง ุฎุทูˆุท ุฃุฎุฑู‰ู‡ุฐุง
92
+
93
+ 24
94
+ 00:02:16,400 --> 00:02:23,060
95
+ ูŠุณุชุฎุฏู… ุนู†ุฏู…ุง ูŠูˆุฌุฏ ุฃุณู„ุญุฉ ุฃูˆ ุฃุณู„ุญุฉ ุฎุงุฑุฌูŠุฉ ููŠ ุญุงู„ุฉ
96
+
97
+ 25
98
+ 00:02:23,060 --> 00:02:27,300
99
+ ูˆุฌูˆุฏ ุงู„ุฃุณู„ุญุฉ ุงู„ุฎุงุฑุฌูŠุฉ ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… ุงู„ู…ูˆุณูŠู‚ู‰ ุฅุฐุง
100
+
101
+ 26
102
+ 00:02:27,300 --> 00:02:31,240
103
+ ู„ู… ูŠูƒู† ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง ุฃุณู„ุญุฉ ุฎุงุฑุฌูŠุฉ ููŠุฌุจ ุฃู† ู†ุณุชุฎุฏู…
104
+
105
+ 27
106
+ 00:02:31,240 --> 00:02:38,380
107
+ ุงู„ู…ูˆุณูŠู‚ู‰ ุจุนุถ ุงู„ุจูŠุงู†ุงุช ู…ุซู„ ุงู„ู€ home prices ุฃุณุนุงุฑ
108
+
109
+ 28
110
+ 00:02:38,380 --> 00:02:38,860
111
+ ุงู„ุจูŠูˆุช
112
+
113
+ 29
114
+ 00:02:42,880 --> 00:02:46,320
115
+ may exist some outliers so we have to use the
116
+
117
+ 30
118
+ 00:02:46,320 --> 00:02:50,800
119
+ media because as you know the prices of the home
120
+
121
+ 31
122
+ 00:02:50,800 --> 00:02:56,660
123
+ are scattered from maybe smallest value to largest
124
+
125
+ 32
126
+ 00:02:56,660 --> 00:03:00,880
127
+ value I mean for largest cities maybe ุณุนุฑ ุงู„ุจูŠุช
128
+
129
+ 33
130
+ 00:03:00,880 --> 00:03:05,040
131
+ ูŠูƒูˆู† fifty thousand dollar for big cities for
132
+
133
+ 34
134
+ 00:03:05,040 --> 00:03:09,240
135
+ small cities it could be ten thousandSo there is a
136
+
137
+ 35
138
+ 00:03:09,240 --> 00:03:13,660
139
+ gap between smallest and largest value if there is
140
+
141
+ 36
142
+ 00:03:13,660 --> 00:03:17,380
143
+ a gap ุงูˆ ูˆุณุงูุฉ ุจูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ุตุบูŠุฑุฉ ูˆ ุงู„ูƒุจูŠุฑุฉ we
144
+
145
+ 37
146
+ 00:03:17,380 --> 00:03:22,500
147
+ have to choose the median in many situations it
148
+
149
+ 38
150
+ 00:03:22,500 --> 00:03:25,000
151
+ makes sense to report both the mean and the median
152
+
153
+ 39
154
+ 00:03:25,000 --> 00:03:28,880
155
+ ุนุงุฏุฉ ุชุนู…ู„ ุงุชู†ูŠู† ุงู„ mean ูˆ ุงู„ median if they are
156
+
157
+ 40
158
+ 00:03:28,880 --> 00:03:34,900
159
+ equal if the mean equals the median which one is
160
+
161
+ 41
162
+ 00:03:34,900 --> 00:03:37,980
163
+ better to choose mean or median if they are equal
164
+
165
+ 42
166
+ 00:03:39,760 --> 00:03:46,900
167
+ ุงู„ู…ุนู†ู‰ ู„ุฃู† ุงู„ู…ุนูŠุงุฑ ุฅุฐุง ูƒู†ุช ุชู‚ูˆู… ุจุชู‚ุฑูŠุฑ ุงู„ู…ุนูŠุงุฑ
168
+
169
+ 43
170
+ 00:03:46,900 --> 00:03:51,460
171
+ ุงู„ู…ุนูŠุงุฑ ู‡ูˆ ุนุฏุฏ ุฌู…ูŠุน ู†ู‚ุทุฉ ุงู„ุจูŠุงู†ุงุช ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุนุชู†ูŠ
172
+
173
+ 44
174
+ 00:03:51,460 --> 00:03:55,540
175
+ ุจูƒู„ ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ูˆู„ูƒู† ุงู„ู…ุนูŠุงุฑ ู†ุญู† ูู‚ุท ู†ุฃุฎุฐ ุญุชู‰
176
+
177
+ 45
178
+ 00:03:55,540 --> 00:04:00,120
179
+ ุฅุฐุง ูƒุงู†ุช ุญุชู‰ ูŠุฌุจ ุฃู† ู†ุฃุฎุฐ ูู‚ุท ู‚ูŠู…ุฉ ุงู„ู…ุนูŠู†ุฉ ู…ู†
180
+
181
+ 46
182
+ 00:04:00,120 --> 00:04:03,940
183
+ ุงู„ุงุซู†ูŠู† ู†ู‚ุงุท ุงู„ู…ุนูŠู†ุฉ ุฅุฐุง ูƒุงู†ุช ุนุงุฏูŠุฉ ูู†ุฃุฎุฐ ูู‚ุท ู†ู‚ุทุฉ
184
+
185
+ 47
186
+ 00:04:03,940 --> 00:04:10,380
187
+ ูˆุงุญุฏุฉ ู„ุฐู„ูƒ ุงู„ู…ุนูŠุงุฑ ูู‚ุท ู…ุฑูƒุฒ ุฅู…ุง ููŠ ู†ู‚ุทุฉ ูˆุงุญุฏุฉุฃูˆ
188
+
189
+ 48
190
+ 00:04:10,380 --> 00:04:14,060
191
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
192
+
193
+ 49
194
+ 00:04:14,060 --> 00:04:16,980
195
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
196
+
197
+ 50
198
+ 00:04:16,980 --> 00:04:17,260
199
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
200
+
201
+ 51
202
+ 00:04:17,260 --> 00:04:17,300
203
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
204
+
205
+ 52
206
+ 00:04:17,300 --> 00:04:18,680
207
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
208
+
209
+ 53
210
+ 00:04:18,680 --> 00:04:22,380
211
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
212
+
213
+ 54
214
+ 00:04:22,380 --> 00:04:25,240
215
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
216
+
217
+ 55
218
+ 00:04:25,240 --> 00:04:36,440
219
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู†
220
+
221
+ 56
222
+ 00:04:40,170 --> 00:04:44,450
223
+ ู„ูƒู† ูŠุฌุจ ุฃู† ู†ุชุฎู„ุต ู…ู† ุงุณุชุฎุฏุงู… ุงู„ู€ mean ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง
224
+
225
+ 57
226
+ 00:04:44,450 --> 00:04:49,190
227
+ ุฃุณุงุณุงุช ุฎุงุฑุฌูŠุฉ ุฃูˆ ู‚ูŠู… ุฃูƒุชุฑุงู† ู„ุฃู† ุงู„ู€ median ู„ูŠุณ
228
+
229
+ 58
230
+ 00:04:49,190 --> 00:04:52,830
231
+ ุฃูƒุชุฑ ุดุฎุตูŠุฉ ู„ุฃุณุงุณุงุช ุฎุงุฑุฌูŠุฉ ู…ู† ุงู„ู€ mean ุงู„ู€ mean ู‡ูˆ
232
+
233
+ 59
234
+ 00:04:52,830 --> 00:04:56,470
235
+ ุฃูƒุชุฑ ุดุฎุตูŠ ู„ุฃุณุงุณุงุช ุฎุงุฑุฌูŠุฉ ุฅุฐุง ุงู„ู…ู„ุฎุต ุงู„ู€ mean
236
+
237
+ 60
238
+ 00:04:56,470 --> 00:05:00,490
239
+ ุจุณุชุฎุฏู… ุนุงุฏุฉ ุฅุฐุง ู„ู… ูŠูƒู† ู„ุฏูŠ ุฃุณุงุณุงุช ุฎุงุฑุฌูŠุฉ ุงู„ median
240
+
241
+ 61
242
+ 00:05:00,490 --> 00:05:03,690
243
+ ุจุณุชุฎุฏู…ู‡ ุฅุฐุง ูƒุงู† ููŠู‡ ุฃุณุงุณุงุช ุฎุงุฑุฌูŠุฉ ูˆู„ูƒู† ุฅุฐุง ูƒุงู† ุงู„ู€
244
+
245
+ 62
246
+ 00:05:03,690 --> 00:05:08,010
247
+ mean ูˆ ุงู„ู€ median ู…ุฑุชูุนูŠู† ุฃูˆ ุญุชู‰ ู…ุฑุชูุนูŠู† ุจุดูƒู„ ุนุงู…
248
+
249
+ 63
250
+ 00:05:08,010 --> 00:05:13,800
251
+ ุฃุนู†ูŠ ู…ุฑุชูุนูŠู† ุจุดูƒู„ ุนุงู…we have to use the mean ุฅุฐุง
252
+
253
+ 64
254
+ 00:05:13,800 --> 00:05:19,120
255
+ ู„ูˆ ูƒุงู†ูˆุง ุจูŠุณุงูˆูŠ ุจุนุถ ุฃูˆ ุญูˆุงู„ูŠู† ุจุนุถ ุงู„ุฃูุถู„ mean ุงู„
256
+
257
+ 65
258
+ 00:05:19,120 --> 00:05:23,380
259
+ main ุฅุฐุง ุงู„ median ุจุณ ุชุงุฎุฏู‡ ุจุณ in case of outliers
260
+
261
+ 66
262
+ 00:05:26,630 --> 00:05:30,250
263
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู†ุตูŠุฉ ู„ู„ุชู†ุธูŠู… ุงู„ู…ุฑูƒุฒูŠ ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ุงู„ุณุงุจู‚
264
+
265
+ 67
266
+ 00:05:30,250 --> 00:05:34,290
267
+ ู‡ู†ุงูƒ ุซู„ุงุซุฉ ู…ูŠุฌุงุฑุงุช ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุฃูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ
268
+
269
+ 68
270
+ 00:05:34,290 --> 00:05:35,690
271
+ ุฃูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ
272
+
273
+ 69
274
+ 00:05:35,690 --> 00:05:36,770
275
+ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ
276
+
277
+ 70
278
+ 00:05:36,770 --> 00:05:36,790
279
+ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ
280
+
281
+ 71
282
+ 00:05:36,790 --> 00:05:38,830
283
+ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ
284
+
285
+ 72
286
+ 00:05:38,830 --> 00:05:43,210
287
+ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ
288
+
289
+ 73
290
+ 00:05:43,210 --> 00:05:51,430
291
+ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆ ุงู„ูˆุตู ุงู„ุญุณุงุจูŠ ุงูˆู‡ุฐู‡ ุทูˆุงู‚ูู†ุง
292
+
293
+ 74
294
+ 00:05:51,430 --> 00:05:54,050
295
+ ุนู†ุฏู‡ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุชูˆุฏู‰ ุงู† ุดุงุก ุงู„ู„ู‡ ู†ุจุฏุฃ ู…ูˆุถูˆุน
296
+
297
+ 75
298
+ 00:05:54,050 --> 00:06:01,170
299
+ ุฌุฏูŠุฏ ุงุณู…ู‡ measures of variation ูุงู„ุงู† ู„ุฏูŠู†ุง ู…ุฌุฑ
300
+
301
+ 76
302
+ 00:06:01,170 --> 00:06:09,310
303
+ ู…ุฌุฑ ุฌุฏูŠุฏ ุงุณู…ู‡ variation variation ู…ุนู†ุงู‡ ุงุฎุชู„ุงู ุงูˆ
304
+
305
+ 77
306
+ 00:06:09,310 --> 00:06:14,430
307
+ ุชุจุงูŠู† ุงูˆ ุชุดุชุช ูŠุนู†ูŠ ุจุณู…ูŠู‡ุง ุงู…ุง variation ุงูˆ spread
308
+
309
+ 78
310
+ 00:06:14,430 --> 00:06:17,030
311
+ ู„ุฐุง ุจุณู…ูŠู‡ุง variation
312
+
313
+ 79
314
+ 00:06:20,750 --> 00:06:28,670
315
+ ุณู…ูŠู‡ุง spread ุณู…ูŠู‡ุง scattered ู‡ุฏูˆู„ ูƒู„ู‡ู… ู†ูุณ ุงู„ู…ุนู†ู‰ุŒ
316
+
317
+ 80
318
+ 00:06:28,670 --> 00:06:32,910
319
+ ู…ุนู†ุงู‡ุง ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช in this case we have four
320
+
321
+ 81
322
+ 00:06:32,910 --> 00:06:43,870
323
+ measures range ู…ุนู†ุงู‡ ุงู„ู…ุฏู‰ variance ุชุจุงูŠู†ุŒ ุฅุฐุง
324
+
325
+ 82
326
+ 00:06:43,870 --> 00:06:51,720
327
+ ุฃู‡ูŠุฏ ุงู„ู…ุฏู‰ ุงู„ variance ุงู„ุชุจุงูŠู†ุงู„ู‚ูŠู… ุซุงู„ุซู‡ ุงุณู…ู‡ุง
328
+
329
+ 83
330
+ 00:06:51,720 --> 00:06:57,200
331
+ ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ุงุฐุง ู‡ุฐุง ูŠุณู…ู‰
332
+
333
+ 84
334
+ 00:06:57,200 --> 00:07:01,860
335
+ ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ุงู„ู‚ูŠู…
336
+
337
+ 85
338
+ 00:07:01,860 --> 00:07:09,040
339
+ ุงู„ุฑุงุจุนู‡ ุงุณู…ู‡ุง ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนุงู…ู„
340
+
341
+ 86
342
+ 00:07:09,040 --> 00:07:10,340
343
+ ูˆุงู†ุญุฑุงู ุงุฎุชู„ุงู
344
+
345
+ 87
346
+ 00:07:13,030 --> 00:07:16,170
347
+ ุดูˆู ุฃู†ุง ุฃุญุงูˆู„ ููŠ ุฃูˆู„ ู„ู‚ุงุนุฉ ุจุณ ุฃุนู…ู„ ุชุฑุฌู…ุฉ ู„ูƒู„
348
+
349
+ 88
350
+ 00:07:16,170 --> 00:07:19,710
351
+ ู…ุตุทู„ุญุงุช ุจุนุฏ ู‡ูŠูƒ ุงู„ุฃู…ูˆุฑ ุจุชู…ุดูŠ ู…ุนุงูƒ ุจูŠุตูŠุฑ ุงู„ูƒู„ู…ุงุช
352
+
353
+ 89
354
+ 00:07:19,710 --> 00:07:25,330
355
+ ู…ูƒุฑุฑุฉ ู…ุนู†ุง ุจุณ ููŠ ุงู„ุจุฏุงูŠุฉ ู…ู…ูƒู† ุชูƒูˆู† ุฌุฏูŠุฏุฉ so we
356
+
357
+ 90
358
+ 00:07:25,330 --> 00:07:31,530
359
+ have four measures range, varianceูˆุงู„ุฃุฎูŠุฑ ูŠุณู…ู‰
360
+
361
+ 91
362
+ 00:07:31,530 --> 00:07:36,790
363
+ ู…ู‚ุงูˆู…ุฉ ุงู„ุชุบูŠูŠุฑ ู„ุฐู„ูƒ ุงู† ุดุงุก ุงู„ู„ู‡ ุณู†ุชุญุฏุซ ุนู† ู…ู‚ุงูˆู…ุฉ
364
+
365
+ 92
366
+ 00:07:36,790 --> 00:07:41,670
367
+ ุงู„ุชุบูŠูŠุฑ ูˆู…ู‚ุงูˆู…ุฉ ุงู„ุชุบูŠูŠุฑ ูˆู„ู„ุชุงู„ูŠ ุณู†ูƒู…ู„ ูˆู†ุฑู‰ ูƒูŠู
368
+
369
+ 93
370
+ 00:07:41,670 --> 00:07:49,830
371
+ ู†ุณุชุฎุฏู… ู…ู‚ุงูˆู…ุฉ ุงู„ุชุบูŠูŠุฑ ู„ุฐู„ูƒ ุฅุฐุง ูƒู†ุช ุชู†ุธุฑ ุญู‚ุง ุฅู„ู‰
372
+
373
+ 94
374
+ 00:07:49,830 --> 00:07:56,570
375
+ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ุงู†ุธุฑ ุฅู„ู‰ ุงู„ุฑุณู… ู‡ุฐู‡ ู…ู‚ุงูˆู…ุฉ
376
+
377
+ 95
378
+ 00:07:56,570 --> 00:07:57,010
379
+ ุงู„ุชุบูŠูŠุฑ ููŠ ุงู„ุฃูˆุณุท
380
+
381
+ 96
382
+ 00:08:00,160 --> 00:08:05,560
383
+ ุงู„ุฑูƒุฒ ู‡ุฐุง ุงู„ุฑูƒุฒ ูŠุณู…ู‰ ุงู„ู€ mean ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ุงู„ุณุงุจู‚
384
+
385
+ 97
386
+ 00:08:05,560 --> 00:08:10,440
387
+ ุงู„ุฑูƒุฒ ุงู„ูˆุถุนูŠ ูŠุณู…ู‰ ุงู„ู€mean ุงู„ุฃูˆู„ู‰ ู„ุฏูŠู‡ุง ู‡ุฐุง ุงู„ู€mean
388
+
389
+ 98
390
+ 00:08:10,440 --> 00:08:17,000
391
+ ูˆุงู„ุฃุณูู„ ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู€mean ู„ุฐุง ูƒู„ุง ุงู„ุฑูƒุฒูŠู† ู„ุฏูŠู‡ุง
392
+
393
+ 99
394
+ 00:08:17,000 --> 00:08:20,880
395
+ ู†ูุณ ุงู„ู€mean ูƒู„ู‡ู… ู„ู‡ู… ู†ูุณ ุงู„ู€mean ู„ูƒู† ุงู„ู€spread
396
+
397
+ 100
398
+ 00:08:20,880 --> 00:08:26,500
399
+ ุชุจุนู‡ู… ุนู† ุงู„ู€mean ููŠ ูˆุงุญุฏ ู…ุฎุชู„ู ุนู† ุงู„ุชุงู†ูŠ ู…ุด ู‡ูŠูƒ ุงู„
400
+
401
+ 101
402
+ 00:08:26,500 --> 00:08:33,760
403
+ .. ุงู„ุฑูƒุฒ ุงู„ุฃูˆู„ ุฑูƒุฒ Aุงู„ู€ Spread ู„ู€ A is less than
404
+
405
+ 102
406
+ 00:08:33,760 --> 00:08:38,860
407
+ Spread ู„ B ู…ุน ูƒุฏู‡ Graph A is less spread than
408
+
409
+ 103
410
+ 00:08:38,860 --> 00:08:42,980
411
+ Figure or Graph B So how can we compute this
412
+
413
+ 104
414
+ 00:08:42,980 --> 00:08:48,860
415
+ spread or this variationุŸ These measures of
416
+
417
+ 105
418
+ 00:08:48,860 --> 00:08:53,220
419
+ variation give information ุชุนุทูŠู†ูŠ ู…ุนู„ูˆู…ุงุช on
420
+
421
+ 106
422
+ 00:08:53,220 --> 00:08:59,410
423
+ spread ุงู„ู„ูŠ ู‡ูˆ ุงู„ุงู†ุชุดุฑ or variabilityุงุฎุชู„ุงู or
424
+
425
+ 107
426
+ 00:08:59,410 --> 00:09:04,930
427
+ dispersion ุชุดุชุช ุฃูˆ ุชุจุงุนุฏ of the data values ุทุจุนุง
428
+
429
+ 108
430
+ 00:09:04,930 --> 00:09:09,630
431
+ ุงู„ spread ุชุจุนู‡ุง ุญูˆุงู„ูŠู† ู…ูŠู†ุŸ ุญูˆุงู„ูŠู† ุงู„ mean ุฏู‡ ุนุฑู
432
+
433
+ 109
434
+ 00:09:09,630 --> 00:09:13,010
435
+ ู…ูŠู† ู‚ุฑูŠุจ ุน ุงู„ู…ูŠู† ุทุจุนุง ูƒู„ ู…ุง ุชูƒูˆู† ุงู„ data is more
436
+
437
+ 110
438
+ 00:09:13,010 --> 00:09:17,050
439
+ close to the mean it means it has less spread ูŠุนู†ูŠ
440
+
441
+ 111
442
+ 00:09:17,050 --> 00:09:21,690
443
+ ุชุดุชุช ุชู…ุงู…ุง ู„ู‡ุง ุฃู‚ู„ ุทุจุนุง ูƒู„ ู…ุง ุชูƒูˆู† ูƒุจูŠุฑุฉ ุชุดุชุช ุฃูƒุจุฑ
444
+
445
+ 112
446
+ 00:09:21,690 --> 00:09:26,070
447
+ now the question is how can we measure the
448
+
449
+ 113
450
+ 00:09:26,070 --> 00:09:30,790
451
+ variationas we mentioned we have four majors I
452
+
453
+ 114
454
+ 00:09:30,790 --> 00:09:36,190
455
+ will start with the simplest one the simplest one
456
+
457
+ 115
458
+ 00:09:36,190 --> 00:09:43,750
459
+ is called the range ุงูŠุด ู…ุนู†ู‰ rangeุŸ range ุงู„ู„ูŠ ุฃู†ุง
460
+
461
+ 116
462
+ 00:09:43,750 --> 00:09:49,870
463
+ ุฃุฎู„ูŠ ุจุงู„ูƒ ุฃุญูŠุงู†ุง ู„ูˆ ู…ุงุนุฑูุชุด ู…ุนู†ู‰ ูƒู„ู…ุฉ ู…ู…ูƒู† ุชุนุฑููŠ
464
+
465
+ 117
466
+ 00:09:49,870 --> 00:09:56,600
467
+ ู…ุนู†ู‰ ุชุจุนู‡ุง ู…ู† ุฎู„ุงู„ ุฅูŠุด ุงู„ุณูŠุงู‚ ูˆ ุฃู†ุง ุจุดุฑุญู‡ู„ูˆ
468
+
469
+ 118
470
+ 00:09:56,600 --> 00:09:58,980
471
+ ู…ุงุนุฑูุชุด ุฎุงู„ุต ุงุณุฃู„ูŠู†ูŠ ูŠุนู†ูŠ ู…ุด ูƒู„ ูƒู„ู…ุฉ ู‡ุชุฑุฌู…ู‡ุง
472
+
473
+ 119
474
+ 00:09:58,980 --> 00:10:02,320
475
+ ุจุงู„ู„ุบุฉ ุงู„ุนุฑุจูŠุฉ ู‡ุญุงูˆู„ ููŠ ุงู„ุจุฏุงูŠุฉ ุฃุชุฑุฌู… ู„ูƒู† ู„ูˆ
476
+
477
+ 120
478
+ 00:10:02,320 --> 00:10:05,600
479
+ ู…ุงุนุฑูุชุด ูˆ ุฃู†ุง ู…ุงุชุฑุฌู…ุชุด ู…ุด ู…ุดูƒู„ุฉ ูƒุชูŠุฑ ุจุชุนุฑููŠู‡ุง ู…ู†
480
+
481
+ 121
482
+ 00:10:05,600 --> 00:10:08,740
483
+ ุฎู„ุงู„ ุงู„ definition ุชุจุนู‡ุง ุงู„ุชุนุฑูŠู ุชุจุนู‡ุง ู range
484
+
485
+ 122
486
+ 00:10:08,740 --> 00:10:14,840
487
+ ู…ุนู†ุงู‡ ุงู„ู…ุฏู‰ ุฅู„ู‰ ุงู„ู„ูŠ ู…ุงุญูƒูŠ ุฃุนู…ุงุฑูƒูˆุง ุชุชุฑูˆุญ ู…ู† 18 ู„
488
+
489
+ 123
490
+ 00:10:14,840 --> 00:10:20,920
491
+ 21 ู‚ุฏุฑุด ุงู„ูุฑู‚ ุจูŠู† ุฃุตุบุฑ ุนู…ุฑ ูˆุฃูƒุจุฑ ุนู…ุฑ ุชู„ุช ุณู†ูˆุงุช
492
+
493
+ 124
494
+ 00:10:20,920 --> 00:10:25,150
495
+ ูู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ู…ุฏู‰ ุฃูˆ ุงู„ range ุฅุฐุง ุงู„ rangeis the
496
+
497
+ 125
498
+ 00:10:25,150 --> 00:10:28,830
499
+ difference between the largest and the smallest
500
+
501
+ 126
502
+ 00:10:28,830 --> 00:10:33,010
503
+ values ุงู„ู…ุณุงูุฉ ู…ุง ุจูŠู† ุฃูƒุจุฑ ู‚ูŠู…ุฉ ูˆุฃุตุบุฑ ู‚ูŠู…ุฉ when
504
+
505
+ 127
506
+ 00:10:33,010 --> 00:10:38,210
507
+ ุจูŠุญูƒูŠ largest age 21 the smallest age is 18 so the
508
+
509
+ 128
510
+ 00:10:38,210 --> 00:10:41,330
511
+ difference between largest and smallest or maximum
512
+
513
+ 129
514
+ 00:10:41,330 --> 00:10:46,930
515
+ and minimum is 3 so the range equals x largest
516
+
517
+ 130
518
+ 00:10:46,930 --> 00:10:51,830
519
+ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ูŠุณู…ู‰ maximum minus x smallest
520
+
521
+ 131
522
+ 00:10:55,440 --> 00:11:02,460
523
+ Equal maximum value minus minimum ุงู„ูƒุจูŠุฑ ู†ุฎุณ
524
+
525
+ 132
526
+ 00:11:02,460 --> 00:11:05,820
527
+ ุงู„ุตุบูŠุฑ ุจูŠุญุทูŠู†ุง ุงู„ range Now suppose we have this
528
+
529
+ 133
530
+ 00:11:05,820 --> 00:11:11,460
531
+ data Now we can call this one, two, four twice We
532
+
533
+ 134
534
+ 00:11:11,460 --> 00:11:15,540
535
+ have two four, eight, three times, nine, eleven,
536
+
537
+ 135
538
+ 00:11:15,680 --> 00:11:18,520
539
+ eleven, twelve and thirteen Now the minimum value
540
+
541
+ 136
542
+ 00:11:18,520 --> 00:11:26,430
543
+ is one for this dataูˆุงู„ูƒุจูŠุฑ ู‡ูˆ 13ุŒ ูุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู†
544
+
545
+ 137
546
+ 00:11:26,430 --> 00:11:32,670
547
+ ุฃูƒุจุฑ ูˆุฃูƒุจุฑ ุตุบูŠุฑ 13-1 ูŠุนู†ูŠ 12ุŒ ุฅุฐุง ูƒุงู†ุช ุนุจุงุฑุฉ ุนู† ุงู„
548
+
549
+ 138
550
+ 00:11:32,670 --> 00:11:39,470
551
+ rangeุŒ ุณู‡ู„ุฉ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุงุทุฑุญ ู…ู†ู‡ุง ุฃุตุบุฑ ู‚ูŠู…ุฉุŒ ููŠ ุฃูŠ
552
+
553
+ 139
554
+ 00:11:39,470 --> 00:11:42,770
555
+ ุณุคุงู„ุŸ ุณู‡ู„ุฉุŒ next
556
+
557
+ 140
558
+ 00:11:47,740 --> 00:11:51,420
559
+ ุจุญูƒูŠ why the range can be misleading ู„ูŠุด ุงู„ range
560
+
561
+ 141
562
+ 00:11:51,420 --> 00:11:57,340
563
+ ู…ู…ูƒู† ูŠูƒูˆู† misleadingุŸ ุฅูŠุด ู…ุนู†ุงู‡ misleadingุŸ ู…ุถู„ู„ุŒ
564
+
565
+ 142
566
+ 00:11:57,340 --> 00:12:00,180
567
+ ุจุชุนุฑู ุงู„ leadingุŒ lead ูˆุงุญุฏุŒ lead ุงู„ุชุงู†ูŠ ู…ุนู†ุงู‡
568
+
569
+ 143
570
+ 00:12:00,180 --> 00:12:05,820
571
+ ุจูˆุฌู‡ู‡ misleadingุŒ misleading ู…ุนู†ุงู‡ ู…ุถู„ู„ ูŠุนู†ูŠ ู„ูŠุด
572
+
573
+ 144
574
+ 00:12:05,820 --> 00:12:11,460
575
+ ุงู„ range can be misleadingุŸ ุงู„ุณุจุจ does not account
576
+
577
+ 145
578
+ 00:12:11,460 --> 00:12:15,340
579
+ for how the data are distributed ู…ูŠุจูŠู†ุด ูƒูŠู ุงู„
580
+
581
+ 146
582
+ 00:12:15,340 --> 00:12:22,550
583
+ data ู…ูˆุฒุนุฉู„ุชุจุทู„ุน ุนู„ู‰ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ุฃูˆู„ 7,8,9
584
+
585
+ 147
586
+ 00:12:22,550 --> 00:12:28,190
587
+ ,10,11,12 there is no gap between these values ุฃู‚ู„
588
+
589
+ 148
590
+ 00:12:28,190 --> 00:12:34,670
591
+ ุทูˆู„ 4,7,8 ู„ุบุงูŠุฉ 12 ุฅูŠุด ุงู„ range ุชุจุนู‡ู… 12 minus 7
592
+
593
+ 149
594
+ 00:12:34,670 --> 00:12:40,630
595
+ equals 5 for the second data we have 7 the first
596
+
597
+ 150
598
+ 00:12:40,630 --> 00:12:44,290
599
+ value then there is a gap up to 10 then
600
+
601
+ 151
602
+ 00:12:53,010 --> 00:12:59,210
603
+ ู†ูุณ ุงู„ range ู„ูƒู† ูˆุงุญุฏุฉ close to each other ูˆุงู„ุชุงู†ู‰
604
+
605
+ 152
606
+ 00:12:59,210 --> 00:13:02,230
607
+ ููŠู‡ุง gap between the values but still we have the
608
+
609
+ 153
610
+ 00:13:02,230 --> 00:13:05,530
611
+ same value for the range now look at the second
612
+
613
+ 154
614
+ 00:13:05,530 --> 00:13:12,010
615
+ exampleูˆุงู†ุธุฑ ุฅู„ู‰ ูƒูŠู ุชูƒูˆู† ุงู„ู…ุฌู…ูˆุนุงุช ุฃูƒุซุฑ ุดุฎุตูŠุฉ
616
+
617
+ 155
618
+ 00:13:12,010 --> 00:13:16,230
619
+ ู„ู„ุฎุงุฑุฌ ู…ู† ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุฃุฎุฑู‰ ุงู„ุชูŠ ุณู†ุชุญุฏุซ ุนู†ู‡ุง ู„ุงุญู‚ุง
620
+
621
+ 156
622
+ 00:13:16,230 --> 00:13:22,290
623
+ ุงู† ุดุงุก ุงู„ู„ู‡ ู„ุฏูŠู†ุง ูˆุงุญุฏ ุซู… ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุฑุจุน ูˆุฎู…ุณ
624
+
625
+ 157
626
+ 00:13:22,290 --> 00:13:30,410
627
+ ุงู„ุงู† ู‚ูŠู…ุฉ ุฃูƒุจุฑ ู„ู„ู€ first set ู‡ูŠ 5 ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ
628
+
629
+ 158
630
+ 00:13:30,410 --> 00:13:32,750
631
+ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ
632
+
633
+ 159
634
+ 00:13:32,750 --> 00:13:33,510
635
+ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ
636
+
637
+ 160
638
+ 00:13:33,510 --> 00:13:34,110
639
+ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ
640
+
641
+ 161
642
+ 00:13:34,110 --> 00:13:34,230
643
+ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงูƒุชุฑ
644
+
645
+ 162
646
+ 00:13:34,230 --> 00:13:42,150
647
+ ู…ู†ู‡ุง ุงูƒุชุฑ ู…ู†ู‡ุง ุงุงู„ุงู† ุงุฐุง ุงุณุชุจุฏู„ู†ุง ู‚ูŠู…ุฉ ุงู„ู€ 5 ุจู‚ูŠู…ุฉ
648
+
649
+ 163
650
+ 00:13:42,150 --> 00:13:50,110
651
+ 120 ู†ุญุธูŠ ุงู†ุง ุงุณุชุจุฏู„ุช ุงู„ุฎู…ุณุฉ ุจ120 ุจุณ ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ุงูŠุด
652
+
653
+ 164
654
+ 00:13:50,110 --> 00:13:54,610
655
+ ุทุงู„ุน ุงู„ rangeุŸ 120 minus one one hundred and
656
+
657
+ 165
658
+ 00:13:54,610 --> 00:13:59,030
659
+ nineteen ู„ุงุญุธูˆุง ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ูˆุงุญุฏ ุฎู…ุณุฉ
660
+
661
+ 166
662
+ 00:13:59,030 --> 00:14:05,970
663
+ ูˆุงู„ุชุงู†ูŠ ุจุณ ุงุณุชุจุฏู„ุช ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ุตุงุฑ 119ุจุงู„ุฑุบู… ุนู†ุฏูŠ
664
+
665
+ 167
666
+ 00:14:05,970 --> 00:14:10,410
667
+ ุชู‚ุฑูŠุจุงู‹ ุงู„ู€ same data up to the last one but we
668
+
669
+ 168
670
+ 00:14:10,410 --> 00:14:15,190
671
+ have much difference between the range for data a
672
+
673
+ 169
674
+ 00:14:15,190 --> 00:14:18,670
675
+ and the range for data b so this means the range
676
+
677
+ 170
678
+ 00:14:18,670 --> 00:14:23,510
679
+ can be misleading in case of outliers so if we
680
+
681
+ 171
682
+ 00:14:23,510 --> 00:14:28,350
683
+ have outliers it means we can'tUse the range as a
684
+
685
+ 172
686
+ 00:14:28,350 --> 00:14:33,730
687
+ measure of variation because The range depends
688
+
689
+ 173
690
+ 00:14:33,730 --> 00:14:37,530
691
+ only on two values minimum and maximum So if we
692
+
693
+ 174
694
+ 00:14:37,530 --> 00:14:42,310
695
+ have extreme value So this extreme value will
696
+
697
+ 175
698
+ 00:14:42,310 --> 00:14:46,710
699
+ affect the range ูˆุงุถุญ ุงู† ููŠ ู‚ูŠู…ุฉ ุดุงุฐุฉ ุจุชุฃุซุฑ ุนู„ู‰
700
+
701
+ 176
702
+ 00:14:46,710 --> 00:14:50,350
703
+ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ range ุฒูŠ ู…ุนู†ุงู‡ ูƒุฏู‡ in case of outliers
704
+
705
+ 177
706
+ 00:14:50,350 --> 00:14:54,810
707
+ we have to avoid using the range ุฒูŠ ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„
708
+
709
+ 178
710
+ 00:14:54,810 --> 00:14:59,490
711
+ meanas a measure of central tendency and the range
712
+
713
+ 179
714
+ 00:14:59,490 --> 00:15:05,350
715
+ both are affected by extreme values so in case of
716
+
717
+ 180
718
+ 00:15:05,350 --> 00:15:09,090
719
+ outliers we have to avoid using mean and the range
720
+
721
+ 181
722
+ 00:15:09,090 --> 00:15:15,850
723
+ range as a measure of variation or variability ู‡ูˆ
724
+
725
+ 182
726
+ 00:15:15,850 --> 00:15:19,450
727
+ ุณุจุจ ูˆุงุญุฏ ุงู„ุณุจุจ ุงู„ู„ูŠ ููˆู‚ ุงู„ู„ูŠ ู‡ู†ุง ู‡ู†ุง ุงู„ data are
728
+
729
+ 183
730
+ 00:15:19,450 --> 00:15:22,130
731
+ close to each other there is no gap ููŠุด ูุฌูˆุงุช
732
+
733
+ 184
734
+ 00:15:23,720 --> 00:15:28,360
735
+ ุงู„ุชุงู†ูŠุฉ ููŠ ูุฌูˆุฉ ู…ูˆุฌูˆุฏุฉ ูŠุนู†ูŠ ููŠ ุชุดุชุช ู…ูˆุฌูˆุฏ ุฃูƒุจุฑ
736
+
737
+ 185
738
+ 00:15:28,360 --> 00:15:32,720
739
+ ุจุงู„ุฑุบู… ู…ู† ูƒุฏู‡ ุงู„ range ู…ุงู„ู‡ ุฒูŠ ุจุนุถ ูŠุนู†ูŠ we have
740
+
741
+ 186
742
+ 00:15:32,720 --> 00:15:39,080
743
+ different datasets ู…ุด ุฒูŠ ุจุนุถ ู„ูƒู† ุงู„ range ุชุจุน
744
+
745
+ 187
746
+ 00:15:39,080 --> 00:15:43,120
747
+ ุญู…ุงู„ู‡ ู…ุชุณุงูˆูŠ ู…ุนู†ุงู‡ ูƒุฏู‡ ููŠ ุนู†ุฏู‰ ู…ุดูƒู„ุฉ ูŠุนู†ูŠ ูƒุฏู‡ ุงู„
748
+
749
+ 188
750
+ 00:15:43,120 --> 00:15:48,380
751
+ range can be misleading the
752
+
753
+ 189
754
+ 00:15:48,380 --> 00:15:52,320
755
+ second danger is called sample variance
756
+
757
+ 190
758
+ 00:15:59,650 --> 00:16:03,010
759
+ ุงู„ู€ sample variance ูŠุนู†ูŠ ุงู„ุชุจุงูŠู† ู„ู„ุนูŠู†ุฉ ู‡ุฐุง
760
+
761
+ 191
762
+ 00:16:03,010 --> 00:16:10,070
763
+ ุงู„ุชุจุงูŠู† ูˆ ู‡ุฐุง ุงู„ุนูŠู†ุฉ ุงู„ุชุจุงูŠู† ู„ู„ุนูŠู†ุฉ
764
+
765
+ 192
766
+ 00:16:10,070 --> 00:16:16,390
767
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู…ูู‡ูˆู… ุงู„ู€ sample variance ุงู„ู€
768
+
769
+ 193
770
+ 00:16:16,390 --> 00:16:21,490
771
+ sample variance ู‡ูˆ ุนู…ู„ูŠ ุฃูˆ
772
+
773
+ 194
774
+ 00:16:21,490 --> 00:16:28,090
775
+ approximately ุนู…ู„ูŠ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุนู…ู„ูŠ ู„ู…ู†ุŸ of square
776
+
777
+ 195
778
+ 00:16:28,090 --> 00:16:28,790
779
+ deviations
780
+
781
+ 196
782
+ 00:16:32,430 --> 00:16:37,670
783
+ of values from the mean ู†ุชุทู„ุน ุนู„ู‰ ุงู„ุชุนุฑูŠู ุจุดูƒู„
784
+
785
+ 197
786
+ 00:16:37,670 --> 00:16:44,510
787
+ ูˆุงุถุญ ุงู„ู€ sample variance ู‡ุญุทูŠู‡ symbol Sยฒ this is
788
+
789
+ 198
790
+ 00:16:44,510 --> 00:16:51,190
791
+ the notation for sample variance Sยฒ ุงู„ definition
792
+
793
+ 199
794
+ 00:16:51,190 --> 00:16:55,830
795
+ is the average ุงู„ average ู…ุด ู…ุนู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ
796
+
797
+ 200
798
+ 00:16:55,830 --> 00:17:00,890
799
+ summation ู„ุดุบู„ ู…ุนูŠู† ุนู„ู‰ ุฃุนุฏุงุฏู‡ุง ู…ุด ู‡ูŠูƒุฅุฐุง ุงู„ู€
800
+
801
+ 201
802
+ 00:17:00,890 --> 00:17:05,770
803
+ average ุนุจุงุฑุฉ ุนู† sum ู„ู„ุดุบู„ุฉ ู…ุนูŠู†ุฉ ู‡ู†ุง ุนู„ู‰ ู…ูŠู† ุนู„ู‰
804
+
805
+ 202
806
+ 00:17:05,770 --> 00:17:10,790
807
+ ุนุฏุฏู‡ุง ุจุณ ู‡ูˆ ุญุงูƒูŠุด approximately ูุจุฏู„ ู…ุง ุฃุฎุฏู†ุง n
808
+
809
+ 203
810
+ 00:17:10,790 --> 00:17:17,650
811
+ ุฃุฎุฏู†ุง n-1 ุฅุฐุง divide by n-1 ุงู„ู„ูŠ ุฃู†ุง ูƒุงุชุจู‡ ุนุจุงุฑุฉ
812
+
813
+ 204
814
+ 00:17:17,650 --> 00:17:20,570
815
+ ุนู† ุงู„ average ู…ุด ู‡ูŠูƒ ุฃูˆ approximately the average
816
+
817
+ 205
818
+ 00:17:20,570 --> 00:17:27,330
819
+ ุฅุฐุง ู‡ูŠ ุฃูˆู„ ูƒู„ู…ุฉ average or approximately average
820
+
821
+ 206
822
+ 00:17:27,330 --> 00:17:28,190
823
+ of ู…ูŠู†ุŸ
824
+
825
+ 207
826
+ 00:17:31,480 --> 00:17:37,440
827
+ squared ูŠุนู†ูŠ ุชุฑุจูŠุนุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ูŠ ู…ุนู†ุงู‡ squaredุŒ ุฅุฐุง
828
+
829
+ 208
830
+ 00:17:37,440 --> 00:17:41,700
831
+ ุฃุฎุฏู†ุง ุงู„ุชุฑุจูŠุน ุงู„ู„ูŠ ู‡ู†ุง of
832
+
833
+ 209
834
+ 00:17:41,700 --> 00:17:46,160
835
+ meanุŒ of values ุงู„ values ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู…ุง ุจุนุฑู
836
+
837
+ 210
838
+ 00:17:46,160 --> 00:17:52,460
839
+ ุฃู†ุช ุฃุฎุฏู†ุงู‡ุงุŸ ุงู„ XุŒ ู…ุธุจูˆุท ู‡ุฏูˆู„ ุงู„ values ุฅุฐุง ู‡ูŠ ู‡ุงุฏ
840
+
841
+ 211
842
+ 00:17:52,460 --> 00:18:01,780
843
+ ุงู„ values from the mean ู‡ูŠ from the meanุฅุฐุง ู…ุฑุฉ
844
+
845
+ 212
846
+ 00:18:01,780 --> 00:18:05,260
847
+ ุชุงู†ูŠุฉ ุงู„ู€ average summation divided by n ุฃูˆ n
848
+
849
+ 213
850
+ 00:18:05,260 --> 00:18:09,760
851
+ minus one of the squared deviation I squared
852
+
853
+ 214
854
+ 00:18:09,760 --> 00:18:17,460
855
+ deviation ู…ุนู†ุงู‡ ุฅูŠุดุŸ ุงู†ุญุฑุงู ู„ู…ูŠู†ุŸ ุงู„ values ู…ู†
856
+
857
+ 215
858
+ 00:18:17,460 --> 00:18:21,120
859
+ ุงู„ู…ูŠู†ุŸ
860
+
861
+ 216
862
+ 00:18:21,120 --> 00:18:23,920
863
+ ุฅุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ definition ุชุจุนู†ุง ุนุจุงุฑุฉ ุนู† ุงู„ู‚ุงุชู„
864
+
865
+ 217
866
+ 00:18:30,360 --> 00:18:34,920
867
+ Average ุฃุฎุฏู†ุง ุงู„ุตูŠู† ุนู„ู‰ ุงู„ู€ minus one ุฅุฐุงู‹ ู‡ุฐุง ุฃูˆู„
868
+
869
+ 218
870
+ 00:18:34,920 --> 00:18:43,500
871
+ ูˆุงุญุฏ ู‡ุฐุง ุงู„ average of
872
+
873
+ 219
874
+ 00:18:43,500 --> 00:18:48,680
875
+ squared I squared deviation
876
+
877
+ 220
878
+ 00:18:48,680 --> 00:18:53,560
879
+ ุงู„ minus sign of
880
+
881
+ 221
882
+ 00:18:53,560 --> 00:19:01,390
883
+ values ู‡ุงูŠ ุงู„ values from the meanุฅุฐุง ู„ูˆ ุฃู†ุง ุจุชุนุฑู
884
+
885
+ 222
886
+ 00:19:01,390 --> 00:19:04,370
887
+ ุชุงู†ูŠ ุงู„ู€ sample variance ู…ุงุจู†ุฏูŠุด ุฃุทู„ุน ุนู„ู‰ ุงู„ุดุงุดุฉ
888
+
889
+ 223
890
+ 00:19:04,370 --> 00:19:10,490
891
+ ุงู„ู„ูŠ ู‡ู†ุงูƒ ู†ุนุฑูู‡ ู…ู† ู‡ู†ุง ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุทู„ุน ุฃู†ุง ู‡ูƒุชุจ
892
+
893
+ 224
894
+ 00:19:10,490 --> 00:19:17,890
895
+ ูƒู„ู…ุฉ ูƒู„ู…ุฉ ุงู„ Sยฒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample variance is I
896
+
897
+ 225
898
+ 00:19:17,890 --> 00:19:21,230
899
+ the averageุŸ
900
+
901
+ 226
902
+ 00:19:21,230 --> 00:19:24,270
903
+ ู…ุธุจูˆุทุŸ ุจุณ ุนุดุงู† ุฌุณู…ุช ุนู„ูŠู‡ ุงู„ minus one ุจุญูƒูŠุด
904
+
905
+ 227
906
+ 00:19:24,270 --> 00:19:27,470
907
+ approximately the averageุŸ
908
+
909
+ 228
910
+ 00:19:34,020 --> 00:19:39,780
911
+ ุจุจุฏุฃ ููŠ ุงู„ุงุชู†ูŠู† ุณูƒูˆูŠุฑุฏ ุณูƒูˆูŠุฑุฏ
912
+
913
+ 229
914
+ 00:19:39,780 --> 00:19:45,420
915
+ ูŠุนู†ูŠ ู…ูุงูˆุถุฉ
916
+
917
+ 230
918
+ 00:19:45,420 --> 00:19:51,360
919
+ ู…ู† ุงู„ุงุฎุชุตุงุฑ ู…ู† ุงู„ุงุฎุชุตุงุฑ
920
+
921
+ 231
922
+ 00:19:59,220 --> 00:20:02,280
923
+ ุฅุฐุงู‹ ุงู„ู€ sample variance ุนุจุงุฑุฉ ุนู† ุงู„ู€ average ุฃูˆ
924
+
925
+ 232
926
+ 00:20:02,280 --> 00:20:05,560
927
+ approximately the average of square deviations
928
+
929
+ 233
930
+ 00:20:05,560 --> 00:20:12,420
931
+ from the values from the mean ุงู„ู€ Sยฒ is called the
932
+
933
+ 234
934
+ 00:20:12,420 --> 00:20:16,820
935
+ sample variance X bar is the mean or arithmetic
936
+
937
+ 235
938
+ 00:20:16,820 --> 00:20:24,380
939
+ mean ุงู„ู€ N is sample size X I ุงู„ู„ูŠ ู‡ูŠ I value
940
+
941
+ 236
942
+ 00:20:24,380 --> 00:20:25,320
943
+ ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… I
944
+
945
+ 237
946
+ 00:20:28,130 --> 00:20:31,490
947
+ ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ุงุญู†ุง ุญูƒูŠู†ุง ุนู„ูŠู‡ ุชุจุน ุงู„ semel
948
+
949
+ 238
950
+ 00:20:31,490 --> 00:20:33,770
951
+ variance ุทุจ ููŠ ุงู„ุงู…ุชุญุงู†ุงุช ุฒูŠ ู…ุง ุญูƒูŠุช ุงู†ุง ุจุนุทูŠูƒ ุงู„
952
+
953
+ 239
954
+ 00:20:33,770 --> 00:20:39,810
955
+ form ุงู„ู„ูŠ ุงุดูŠุช ุจุนุทูŠูƒ ุดูŠุท ููŠู‡ุง ุงู„ู‚ูˆุงู†ูŠู† ุงุฒุงูŠ ุฎู„ุงุต
956
+
957
+ 240
958
+ 00:20:39,810 --> 00:20:42,870
959
+ ูุงู†ุช ุชุนุฑู ุงู„ู‚ุงู†ูˆู† ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ semel
960
+
961
+ 241
962
+ 00:20:42,870 --> 00:20:47,810
963
+ variance ุงู„ู„ูŠ ุงู†ุง ู…ู…ูƒู† ุจุฑุถู‡ ุงุณุฃู„ ุงุนุทูŠูƒ ุชุนุฑูŠู ู…ุนูŠู†
964
+
965
+ 242
966
+ 00:20:47,810 --> 00:20:51,250
967
+ ุฒูŠ ู‡ูŠูƒ ูˆ ุงุญูƒูŠู„ูƒ ุงูŠุด ุงู„ expression ุชุจุนู‡ ู‡ูˆ ู…ุตุทู„ุญ
968
+
969
+ 243
970
+ 00:20:51,250 --> 00:20:57,030
971
+ ู„ู…ูŠู† ูŠุนู†ูŠ ุงุนุทูŠูƒ ุงู„ุชุนุฑูŠููŠุนู†ูŠ ู…ุด ู‡ุงุทู„ุจ ู…ู†ูƒ ุชูƒุชุจ
972
+
973
+ 244
974
+ 00:20:57,030 --> 00:21:00,450
975
+ ุงู„ุชุนุฑูŠู ุงู„ู„ูŠ ุฃู†ุง ูƒุงุชุจู‡ ู…ู† ุงู„ุตู„ุงุญ ุทุจุนุง ูƒู†ุช ุนู†ุฏู‰ ุนุฏุฉ
976
+
977
+ 245
978
+ 00:21:00,450 --> 00:21:10,010
979
+ ุชุนุฑูŠูุงุช ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ sample variance ุงู„
980
+
981
+ 246
982
+ 00:21:10,010 --> 00:21:13,450
983
+ sample standard deviation ุญุฏ ุญุงุฌุฉ ุฌุฏูŠุฏุฉ ู†ุชูƒู„ู… ุงู†
984
+
985
+ 247
986
+ 00:21:13,450 --> 00:21:17,650
987
+ ุงุญู†ุง ุน ุงู„ variance ุงู„ุงู† ุจูŠุญูƒูŠ ุน ุดุบู„ุฉ ุชุงู†ูŠุฉ sample
988
+
989
+ 248
990
+ 00:21:17,650 --> 00:21:21,530
991
+ standard
992
+
993
+ 249
994
+ 00:21:27,920 --> 00:21:32,920
995
+ deviation ุจุนุฏ ุดูˆูŠุฉ ุงู„ู€ sample standard deviation
996
+
997
+ 250
998
+ 00:21:32,920 --> 00:21:46,360
999
+ ู…ุนู†ุงู‡ุด ุงู„ุงู†ุญุฑุงุฑ ููŠ ุงู„ู…ุนูŠุงุฑูŠ ุงู„
1000
+
1001
+ 251
1002
+ 00:21:46,360 --> 00:21:50,020
1003
+ sample standard deviation most commonly used
1004
+
1005
+ 252
1006
+ 00:21:50,020 --> 00:21:54,340
1007
+ measure of variationุงู„ุฃูƒุซุฑ ุงุณุชุฎุฏุงู…ู‡ุง ู‡ูˆ ุงู„ู€ Sample
1008
+
1009
+ 253
1010
+ 00:21:54,340 --> 00:21:59,460
1011
+ Standard Deviation ุฑู‚ู… ุงุชู†ูŠู† ุงู„ู€ Sample Standard
1012
+
1013
+ 254
1014
+ 00:21:59,460 --> 00:22:04,300
1015
+ Deviation ุจูŠุนุทูŠู†ุง ุงู„ู€ Variation ุนู† ุงู„ู…ุชูˆุณุท ุจูŠุนุทูŠู†ุง
1016
+
1017
+ 255
1018
+ 00:22:04,300 --> 00:22:09,020
1019
+ ุงู„ู€ Variation ุงู„ุงู†ุชุดุงุฑ ุนู† ุงู„ู…ุชูˆุณุท ุทุจ ุฅูŠุด ุจูŠุณุงูˆูŠุŸ
1020
+
1021
+ 256
1022
+ 00:22:09,020 --> 00:22:13,300
1023
+ is the square root of the variance ุฅุฐุง ุฅูŠุด ู…ุนู†ู‰ ุงู„
1024
+
1025
+ 257
1026
+ 00:22:13,300 --> 00:22:18,580
1027
+ square rootุŸ ุงู„ุฌุฏุฑ ุงู„ุชุฑุจูŠุนูŠ ุงู„ variance ุฃุนุทูŠู†ุง ุฑู…ุฒ
1028
+
1029
+ 258
1030
+ 00:22:18,580 --> 00:22:26,560
1031
+ Sยฒุงู„ุงู†ุญุฑุงู‚ ููŠ ุงู„ู…ุนูŠุงุฑ ุฑุญ ุฃุนุทูŠู‡ ุฑู…ุฒ S ูˆ
1032
+
1033
+ 259
1034
+ 00:22:26,560 --> 00:22:32,680
1035
+ S ุนุจุงุฑุฉ ุนู† ุฅูŠู‡ุŸ ุงู„ square root ู„ู…ู†ุŸ ู„ู„ variance
1036
+
1037
+ 260
1038
+ 00:22:32,680 --> 00:22:36,080
1039
+ ุฅุฐุงู‹
1040
+
1041
+ 261
1042
+ 00:22:36,080 --> 00:22:39,380
1043
+ S is the square root of the variance ุงู„
1044
+
1045
+ 262
1046
+ 00:22:39,380 --> 00:22:41,860
1047
+ characteristics ุงู„ุชุงู†ูŠุฉุŒ ุงู„ุฎุงุตูŠุฉ ุงู„ุชุงู†ูŠุฉ ู„ู€ Sample
1048
+
1049
+ 263
1050
+ 00:22:41,860 --> 00:22:45,420
1051
+ -Sum deviation has the same units as the original
1052
+
1053
+ 264
1054
+ 00:22:45,420 --> 00:22:51,570
1055
+ data ูŠุนู†ูŠ ุฅูŠู‡ุŸู†ูุณ ุงู„ูˆุญุฏุฉ ุฒูŠ ุงู„ูˆุญุฏุฉ ุงู„ุฃุตู„ูŠุฉ ุจู…ุนู†ู‰
1056
+
1057
+ 265
1058
+ 00:22:51,570 --> 00:22:55,150
1059
+ .. suppose we are talking about weight ุงู„ูˆุฒู†
1060
+
1061
+ 266
1062
+ 00:22:55,150 --> 00:22:59,010
1063
+ suppose
1064
+
1065
+ 267
1066
+ 00:22:59,010 --> 00:23:05,450
1067
+ for example the variance is twenty five ุฎู…ุณุฉ ูˆ
1068
+
1069
+ 268
1070
+ 00:23:05,450 --> 00:23:12,010
1071
+ ุนุดุฑูŠู† ู‡ุฐุง ุงู„ variance ุงู„ standard deviation ุดู‡ูŠ
1072
+
1073
+ 269
1074
+ 00:23:12,010 --> 00:23:19,380
1075
+ ุณุงูˆูŠุŸ square root of ุงู„ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ุณูˆุง ุฎู…ุณุฉุฅุฐุง
1076
+
1077
+ 270
1078
+ 00:23:19,380 --> 00:23:23,260
1079
+ ุงู„ู€ standard deviation is denoted by S and equals
1080
+
1081
+ 271
1082
+ 00:23:23,260 --> 00:23:30,040
1083
+ the square root of the variance ุฌุฒุฑ ุงู„ุชุจุงูŠู† ุฅูŠุด ุงู„
1084
+
1085
+ 272
1086
+ 00:23:30,040 --> 00:23:32,860
1087
+ weight ุงู„ unit ุชุจุนุชู‡ ุงู„ weight ุงู„ุฃุตู„ูŠุฉ ุงู„ unit
1088
+
1089
+ 273
1090
+ 00:23:32,860 --> 00:23:38,400
1091
+ ุงู„ุฃุตู„ูŠุฉุŸ ู…ุชู‰ kilogram ุงู„ูˆุฒู† ูŠู‚ุงุณ ุจูˆุงุญุฏุฉ kilogram
1092
+
1093
+ 274
1094
+ 00:23:38,400 --> 00:23:47,610
1095
+ ุงู„ูˆุญุฏุฉ ุงู„ุฃุตู„ูŠุฉ ุงู„ S has the same unitsas the
1096
+
1097
+ 275
1098
+ 00:23:47,610 --> 00:23:52,290
1099
+ original data ู…ุน ูƒุฏู‡ ุงู„ S ู„ู‡ ุงูŠุด ูƒูŠู„ูˆ ุฌุฑุงู… ูŠุนู†ูŠ
1100
+
1101
+ 276
1102
+ 00:23:52,290 --> 00:23:57,670
1103
+ ุฎู…ุณุฉ ูƒูŠู„ูˆ ุฌุฑุงู… ุทุจ ุงู„ Sยฒ ุฅูŠุด ู‡ุชูƒูˆู†ุŸ ู„ูˆ ุฑุจุนุชู‡ุง ุฏูŠ
1104
+
1105
+ 277
1106
+ 00:23:57,670 --> 00:24:03,230
1107
+ ุชุทู„ุน ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุชุฑุจูŠุช ูุงู„ variance ู„ู‡
1108
+
1109
+ 278
1110
+ 00:24:03,230 --> 00:24:07,730
1111
+ ุงู„ square ุงู„ original unit ุงู„ standard deviation
1112
+
1113
+ 279
1114
+ 00:24:07,730 --> 00:24:12,410
1115
+ ู„ู‡ ู…ูŠู†ุŸ ุงู„ seminal ุฅุฐุง ุงู„ุญูˆุงู ุงู„ู…ูŠุงุฑ ู„ู‡ ู†ูุณ ุงู„ูˆุญุฏุฉ
1116
+
1117
+ 280
1118
+ 00:24:12,410 --> 00:24:19,060
1119
+ ู„ูˆ ุจุญูƒูŠ ุน ุงู„ ageู…ุงุฐุง ู‡ูˆ ุงู„ู€ unit ู„ู„ู€ ageุŸ year for
1120
+
1121
+ 281
1122
+ 00:24:19,060 --> 00:24:27,820
1123
+ example ู†ูุชุฑุถ ุงู„ .. ุงู„ variance ุจูŠุณุงูˆูŠ 49 ู…ุด ู‡ุชูƒูˆู†
1124
+
1125
+ 282
1126
+ 00:24:27,820 --> 00:24:34,420
1127
+ ุงู„ unit ุชุจุนุชู‡ year ุชุฑุจูŠุฉ ูŠุนู†ูŠ ู…ุฑุจุน ุงู„ูˆุญุฏุฉ ุงู„ุฃุตู„ูŠุฉ
1128
+
1129
+ 283
1130
+ 00:24:34,420 --> 00:24:41,340
1131
+ ุทูŠุจ ูˆ ุงู„ SุŸ ุจุฏูŠ ุฃุฎุฏ ุงู„ุฌุฒุฑ ู„ู‡ ุฏู‡ ูƒู„ู‡ ู…ุด ู‡ูŠูƒ 49 year
1132
+
1133
+ 284
1134
+ 00:24:41,340 --> 00:24:48,940
1135
+ ุชุฑุจูŠุฉ ุงู„ 49 square root ู„ู‡ 7ูˆyear ุชุฑุจูŠู‡ ุฃุณูƒูˆูŠุฑ
1136
+
1137
+ 285
1138
+ 00:24:48,940 --> 00:24:53,760
1139
+ ุทุจุนุง ุชุฑุจูŠู‡ ูŠุนู…ู„ ุฃุณูƒูˆูŠุฑ ูˆุชูุชุฑุญ ููŠ ุงู„ุดูŠูƒ ุจูŠุตูŠุฑ year
1140
+
1141
+ 286
1142
+ 00:24:53,760 --> 00:24:58,500
1143
+ ูุจู„ุงุญุธ ุงู„ standard deviation ุงู„ unit ุจุชุงุนุชู‡ year
1144
+
1145
+ 287
1146
+ 00:24:58,500 --> 00:25:03,540
1147
+ ุงู„ู„ูŠ ู‡ูŠ ู†ูุณ ู…ู† ุงู„ original unit ุฅุฐุง ุงู„ standard
1148
+
1149
+ 288
1150
+ 00:25:03,540 --> 00:25:06,240
1151
+ deviation has the same unit as the original data
1152
+
1153
+ 289
1154
+ 00:25:06,240 --> 00:25:11,900
1155
+ ูุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู† ุงู„ S2 ุจูŠุณุงูˆูŠ ู‡ูŠูƒ ุงู„ู„ุงุณุด ู‡ูŠุณุงูˆูŠ
1156
+
1157
+ 290
1158
+ 00:25:16,500 --> 00:25:21,840
1159
+ ุงู„ู€ Square Root ุงู„ู€ S ุนุจุงุฑุฉ ุนู† ุงู„ู€ Square Root ู„ู„ู€
1160
+
1161
+ 291
1162
+ 00:25:21,840 --> 00:25:24,700
1163
+ Variance ูŠุนู†ูŠ ู„ูˆ ุนุงูŠุฒ ุฃุทู„ุน ุงู„ู€ Variance ู‡ุงูŠ
1164
+
1165
+ 292
1166
+ 00:25:24,700 --> 00:25:27,420
1167
+ ุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ ู…ู† ุบูŠุฑ ุงู„ู€ Square Root ุงู„ู€ Standard
1168
+
1169
+ 293
1170
+ 00:25:27,420 --> 00:25:32,240
1171
+ Deviation ุจูŠุงุฎุฏ ุงู„ุฌุฏุฑ ุชุจุนู‡ ุงู„ู€ question is how can
1172
+
1173
+ 294
1174
+ 00:25:32,240 --> 00:25:37,100
1175
+ we compute the standard deviation ูƒูŠู ู†ุญุณุจ ุงู„
1176
+
1177
+ 295
1178
+ 00:25:37,100 --> 00:25:40,120
1179
+ standard deviation ู†ุงุฎุฏู‡ุง step by step
1180
+
1181
+ 296
1182
+ 00:25:43,500 --> 00:25:47,180
1183
+ ู‡ู†ุง ูŠูˆุฌุฏ ุฎู…ุณ ุฎุทูˆุงุช ู„ุชู‚ูˆู…ูŠุฉ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard
1184
+
1185
+ 297
1186
+ 00:25:47,180 --> 00:25:52,780
1187
+ deviation ุงู„ุฎุทูˆุฉ
1188
+
1189
+ 298
1190
+ 00:25:52,780 --> 00:25:56,520
1191
+ ุงู„ุฃูˆู„ู‰ ุชุธู‡ุฑ
1192
+
1193
+ 299
1194
+ 00:25:56,520 --> 00:26:01,200
1195
+ ุฃู†ู‡ ูŠุฌุจ ุชู‚ูˆู…ูŠุฉ ุชู‚ูŠู… ุงู„ูุฑู‚ ุจูŠู† ูƒู„ ู‚ูŠู…ุฉ ูˆุงู„ู…ุชูˆุณุท
1196
+
1197
+ 300
1198
+ 00:26:01,200 --> 00:26:08,380
1199
+ ุชู„ุนุจ ุงู„ูุฑู‚ ู…ุง ุจูŠู† ูƒู„ ู‚ูŠู…ุฉ ูˆุงู„ู…ุชูˆุณุท ุชุจุนู‡ุง ุทุจุนุง ุนู†ุฏูŠ
1200
+
1201
+ 301
1202
+ 00:26:08,380 --> 00:26:09,360
1203
+ ุงู„ XI ู…ูˆุฌูˆุฏูŠู†
1204
+
1205
+ 302
1206
+ 00:26:11,960 --> 00:26:17,420
1207
+ ุฃูˆู„ step ุฃุฎุฑุฌ ุงู„ู€mean ุงู„ุงุฎุชู„ุงู ุจูŠู† ูƒู„ ู‚ูŠู…ุฉ ูˆ
1208
+
1209
+ 303
1210
+ 00:26:17,420 --> 00:26:22,480
1211
+ ุงู„ู€mean ุฃุฎุฑุฌ ุงู„ูุฑู‚ ู…ุง ุจูŠู† ูƒู„ ู‚ูŠู…ุฉ ูˆ ุงู„ู€mean ุชุจุนู‡ุง
1212
+
1213
+ 304
1214
+ 00:26:22,480 --> 00:26:33,780
1215
+ second step ุฃูƒุชุฑ ูƒู„ ูุฑู‚ ุฃูƒุชุฑ ูƒู„ ูุฑู‚ ุญุงุฌุฉ ุฃูƒุชุฑ
1216
+
1217
+ 305
1218
+ 00:26:33,780 --> 00:26:38,220
1219
+ ุฃุญุฏู‡ู… ุฅุฐุง
1220
+
1221
+ 306
1222
+ 00:26:38,220 --> 00:26:45,210
1223
+ ูู„ูˆ ุฃุฎุฑุฌ x i ู†ู‚ุต x barู…ุฑุจุน ุงู„ูุฑูˆู‚ step 3 add the
1224
+
1225
+ 307
1226
+ 00:26:45,210 --> 00:26:52,210
1227
+ square differences ุงุฌู…ุน ู…ุฑุจุน ุงู„ูุฑูˆู‚ ุงู„ู„ูŠ ู‡ู†ุง ุทุจุนุง
1228
+
1229
+ 308
1230
+ 00:26:52,210 --> 00:27:01,070
1231
+ ุงู†ุง ู‡ูƒูˆู† ุนู†ุฏู‰ ููŠู‡ values ู‡ุทู„ุน x i minus x bar ู‡ุนู…ู„
1232
+
1233
+ 309
1234
+ 00:27:01,070 --> 00:27:06,170
1235
+ ุชุฑุจูŠู‡ ู„ู‡ุง ูƒู… ุฎุทูˆุท ุตุงุฑูˆุง ู‡ูŠูƒ ุฎุทูˆุทูŠู† ุงู„ุชุงู„ุชุฉ ุงูŠุด
1236
+
1237
+ 310
1238
+ 00:27:06,170 --> 00:27:13,790
1239
+ ุชุนู…ู„ ุงุฌู…ุน ุงูŠ ูƒูˆู„ูˆู…ุซุงู„ุซ ุฃุฎุฑ ูˆุงุญุฏ ุญุฌู… ุฃุญุฏู‡ุง ุฅุฐุง
1240
+
1241
+ 311
1242
+ 00:27:13,790 --> 00:27:19,190
1243
+ ุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ุชุฉ ุฃุฎุฏ ุงู„ sum ู„ู„ุนู…ูˆุฏ ุงู„ุชุงู„ุช ุงู„ุฎุทูˆุฉ
1244
+
1245
+ 312
1246
+ 00:27:19,190 --> 00:27:26,430
1247
+ ุงู„ุฑุงุจุนุฉ divide the total by n minus one ู‡ุงุฎุฏ ุงู„
1248
+
1249
+ 313
1250
+ 00:27:26,430 --> 00:27:35,890
1251
+ total ู‡ุฐุง ุงู„ู„ูŠ ุญูŠุทู„ุน ู…ุนูŠ ูˆุบุณู…ู‡ ุนู„ู‰ ู…ูŠู† ูˆ ุจุนุทูŠู†ูŠ to
1252
+
1253
+ 314
1254
+ 00:27:35,890 --> 00:27:38,730
1255
+ get the sample variance ุฅุฐุง ุทู„ุน ู…ุนูŠ ู‡ู†ุง ุงู„
1256
+
1257
+ 315
1258
+ 00:27:38,730 --> 00:27:39,030
1259
+ variance
1260
+
1261
+ 316
1262
+ 00:27:41,780 --> 00:27:47,020
1263
+ ุฃูˆ ุงู„ู€ Sample Variance ุงู„ู€ Step 5 ุฃุฎุฐ
1264
+
1265
+ 317
1266
+ 00:27:47,020 --> 00:27:49,820
1267
+ ุฑู‚ู… ุฃุฑุจุนุฉ ู…ู† ุงู„ู€ Sample Variance ู„ุชุญู‚ูŠู‚ ุงู„ู€ Sample
1268
+
1269
+ 318
1270
+ 00:27:49,820 --> 00:27:54,120
1271
+ Stand Deviation ู‡ุฃุฎุฏ ุงู„ู€ Square Root ุงู„ู„ูŠ ู‡ูŠุทู„ุน
1272
+
1273
+ 319
1274
+ 00:27:54,120 --> 00:28:03,440
1275
+ ู…ุนุงูŠุง ู…ู† ู‡ู†ุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ู€ S ู‡ู†ุงูƒ
1276
+
1277
+ 320
1278
+ 00:28:03,440 --> 00:28:08,540
1279
+ ูˆุงุญุฏ Step ู…ูู‚ูˆุฏ ููŠู‡ ุญุงุฌุฉ ู…ูู‚ูˆุฏุฉ ุจูŠุญูƒูŠ ููŠ ุงู„ุฃูˆู„
1280
+
1281
+ 321
1282
+ 00:28:08,540 --> 00:28:10,560
1283
+ compute the difference between each value and the
1284
+
1285
+ 322
1286
+ 00:28:10,560 --> 00:28:15,110
1287
+ meanุงู„ู€ x bar ูŠุนู†ูŠ ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ุฌุงุจ ุงู„ู…ุจุฏุฃ step
1288
+
1289
+ 323
1290
+ 00:28:15,110 --> 00:28:17,810
1291
+ ุฑู‚ู… ูˆุงุญุฏ ู‡ูˆ ุจูŠุญูƒูŠ ููŠ ูˆุงุญุฏ computer difference
1292
+
1293
+ 324
1294
+ 00:28:17,810 --> 00:28:20,650
1295
+ between each value and the mean ูู„ุงุฒู… ุฃุญุณุจ ููŠ
1296
+
1297
+ 325
1298
+ 00:28:20,650 --> 00:28:24,070
1299
+ ุงู„ุฃูˆู„ ุงู„ mean ูŠุนู†ูŠ in the top of these steps we
1300
+
1301
+ 326
1302
+ 00:28:24,070 --> 00:28:29,330
1303
+ have to compute x bar which is the average which
1304
+
1305
+ 327
1306
+ 00:28:29,330 --> 00:28:33,890
1307
+ is the sum of values divided by n step zero we
1308
+
1309
+ 328
1310
+ 00:28:33,890 --> 00:28:36,810
1311
+ have to compute the mean ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ุฃุญุณุจ ุงู„
1312
+
1313
+ 329
1314
+ 00:28:36,810 --> 00:28:41,480
1315
+ mean ุฅุฐุง ุจุญุณุจ ุงู„ mean ุจุนุฏูŠู† ุจูƒู…ู„ ุงู„ุฎุทูˆุงุช ุฏู‡ู‡ุฃุฎุฏ
1316
+
1317
+ 330
1318
+ 00:28:41,480 --> 00:28:45,940
1319
+ ุนู„ู… ู…ุซุงู„ ูˆ ุฃุญู„ู‡ ุจู€ two different methods suppose
1320
+
1321
+ 331
1322
+ 00:28:45,940 --> 00:28:53,260
1323
+ we have this data 10 12
1324
+
1325
+ 332
1326
+ 00:28:53,260 --> 00:28:56,640
1327
+ we
1328
+
1329
+ 333
1330
+ 00:28:56,640 --> 00:29:05,720
1331
+ have 14 15 17 18 twice then 24
1332
+
1333
+ 334
1334
+ 00:29:13,810 --> 00:29:20,390
1335
+ ู„ู†ุนูˆุฏ ุฅู„ู‰ ุงู„ู€ steps ุณุชุจ ู†ู…ุจุฑ ูˆุงุญุฏ ู‚ุจู„ ูˆุงุญุฏ ูŠุฌุจ ุฃู†
1336
+
1337
+ 335
1338
+ 00:29:20,390 --> 00:29:25,230
1339
+ ู†ู‚ูˆู… ุจุงู„ูƒู…ูŠุฉ ู…ู† ุงู„ู€ mean ูƒูŠู ุฃุทู„ุน ุงู„ meanุŸ ุฃุฌู…ุน
1340
+
1341
+ 336
1342
+ 00:29:25,230 --> 00:29:32,390
1343
+ ู‡ุฏูˆู„ุŸ ุฎู„ู‘ูŠู†ูŠ ุฃูƒุชุจ sum ุชุญุช ู…ุงู‡ูˆ ู…ุฌู…ูˆุญ ู‡ุฏูˆู„ุŸ ู„ูˆ
1344
+
1345
+ 337
1346
+ 00:29:32,390 --> 00:29:39,870
1347
+ ุฌู…ุนุชู‡ู… 10 plus 12 ู„ุบุงูŠุฉ 24 ูŠุธู‡ุฑ
1348
+
1349
+ 338
1350
+ 00:29:39,870 --> 00:29:40,550
1351
+ ู…ุฌู…ูˆุญ 128
1352
+
1353
+ 339
1354
+ 00:29:44,750 --> 00:29:55,950
1355
+ ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠุฉ ูˆ ุนุดุฑูŠู† ุฅุฐุง
1356
+
1357
+ 340
1358
+ 00:29:55,950 --> 00:30:00,990
1359
+ X bar equals one twenty-eight is the summation
1360
+
1361
+ 341
1362
+ 00:30:00,990 --> 00:30:04,050
1363
+ divided
1364
+
1365
+ 342
1366
+ 00:30:04,050 --> 00:30:09,270
1367
+ by what's the sample size ูƒู… ู‚ูŠู…ุฉ ุนู†ุฏูŠ number of
1368
+
1369
+ 343
1370
+ 00:30:09,270 --> 00:30:14,070
1371
+ data points or number of observationsู‡ู†ุงูƒ 1,2,3,4
1372
+
1373
+ 344
1374
+ 00:30:14,070 --> 00:30:19,230
1375
+ ,5,6,7,8 ูู‡ู†ุงูƒ 8 ู…ู„ุงุญุธุงุช ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ู‚ู„ ู‡ุฐุง ุฅู„ู‰ 8
1376
+
1377
+ 345
1378
+ 00:30:19,230 --> 00:30:27,910
1379
+ ุจู‚ุณู…ู‡ุง 28 ุชู…ุงู†ูŠุฉ 16 ู„ุฐู„ูƒ
1380
+
1381
+ 346
1382
+ 00:30:27,910 --> 00:30:32,730
1383
+ ุนู…ู„ูŠู‡ุง ูŠู‚ู„ 16 ู‡ุฐุง ู‡ูˆ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ุฎุทูˆุฉ
1384
+
1385
+ 347
1386
+ 00:30:32,730 --> 00:30:39,470
1387
+ ุงู„ุฒุฑุนูŠุฉ ุฎุทูˆุฉ ู…ุฒุนุฌุฉ ุชุฌุงุฑุจ ุงู„ูุฑู‚ ุจูŠู† ูƒู„ ู‚ูŠู…ุฉ ุทู„ุน
1388
+
1389
+ 348
1390
+ 00:30:39,470 --> 00:30:46,250
1391
+ ุงู„ูุฑู‚ ู…ุง ุจูŠู†each value and the mean ู‡ุงูŠ ุงู„ุนุดุฑุฉ
1392
+
1393
+ 349
1394
+ 00:30:46,250 --> 00:30:53,930
1395
+ ู‡ุชุทุฑุญ ู…ู†ู‡ุง mean 16 10 minus 16 minus
1396
+
1397
+ 350
1398
+ 00:30:53,930 --> 00:30:57,590
1399
+ 6 next
1400
+
1401
+ 351
1402
+ 00:30:57,590 --> 00:31:04,230
1403
+ one 12 minus 16 negative 4 14
1404
+
1405
+ 352
1406
+ 00:31:04,230 --> 00:31:17,420
1407
+ minus 16 negative 2 15 minus 1 17-1 18 14
1408
+
1409
+ 353
1410
+ 00:31:17,420 --> 00:31:20,860
1411
+ -16
1412
+
1413
+ 354
1414
+ 00:31:20,860 --> 00:31:26,420
1415
+ ู‡ูˆ 8 ุฅุฐุง
1416
+
1417
+ 355
1418
+ 00:31:26,420 --> 00:31:33,540
1419
+ ู…ุฌู…ูˆุญ
1420
+
1421
+ 356
1422
+ 00:31:33,540 --> 00:31:37,640
1423
+ ู…ูŠุณุงูˆ ุตูุฑ ู…ุด ุนู†ุฏูƒ ุฎุทุฃ ู„ูˆ ุจุฌู…ุญ ู‡ุฏูˆู„
1424
+
1425
+ 357
1426
+ 00:31:41,950 --> 00:31:48,430
1427
+ 10 ู‡ูŠ 13 positive ูˆ ููŠ 13 negative ูุชู„ุงุญุธ ุงู„ sum
1428
+
1429
+ 358
1430
+ 00:31:48,430 --> 00:31:51,710
1431
+ ุชุจุนู‡ู… ู…ุงู„ู‡ zero ุฅุฐุง ุงู„ sum ุฒูŠุฑูˆ ู…ุน ูƒุฏู‡ go to the
1432
+
1433
+ 359
1434
+ 00:31:51,710 --> 00:31:55,530
1435
+ next step ุชูƒู…ู„ ุฅุฐุง ุงู„ sum ู…ุด zero ู…ุน ูƒุฏู‡ ููŠ ุฎุทุฃ
1436
+
1437
+ 360
1438
+ 00:31:55,530 --> 00:32:04,030
1439
+ ุชุฃูƒุฏ ุฏุงูŠู…ุง ุงู„ summation ุงู„ values minus its mean
1440
+
1441
+ 361
1442
+ 00:32:04,030 --> 00:32:12,110
1443
+ is always zeroู‡ุฐุง ู‡ูˆ ุงู„ูˆุถุน ุงู„ุฎุงุต ุจู‚ูŠู…ุฉ x-mean
1444
+
1445
+ 362
1446
+ 00:32:12,110 --> 00:32:19,970
1447
+ ุฏุงุฆู…ู‹ุง ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุชู‚ุฑูŠุจู‹ุง 0 ุฏุนูˆู†ุง
1448
+
1449
+ 363
1450
+ 00:32:19,970 --> 00:32:22,350
1451
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ุงู†ุชู‚ุงู„ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1452
+
1453
+ 364
1454
+ 00:32:22,350 --> 00:32:24,750
1455
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1456
+
1457
+ 365
1458
+ 00:32:24,750 --> 00:32:26,290
1459
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1460
+
1461
+ 366
1462
+ 00:32:26,290 --> 00:32:27,970
1463
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1464
+
1465
+ 367
1466
+ 00:32:27,970 --> 00:32:30,530
1467
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1468
+
1469
+ 368
1470
+ 00:32:30,530 --> 00:32:33,230
1471
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…
1472
+
1473
+ 369
1474
+ 00:32:39,240 --> 00:32:46,860
1475
+ ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ุงุฌู…ุน ูƒู„ ู…ุฎุชู„ูุฉ ุงุฌู…ุน ูƒู„ ู…ุฎุชู„ูุฉ
1476
+
1477
+ 370
1478
+ 00:32:46,860 --> 00:32:52,280
1479
+ ุงุฌู…ุน ูƒู„ ู…ุฎุชู„ูุฉ ุงุฌู…ุน ูƒู„ ู…ุฎุชู„ูุฉ ุงุฌู…ุน ูƒู„ ู…ุฎุชู„ูุฉ ุงุฌู…ุน
1480
+
1481
+ 371
1482
+ 00:32:52,280 --> 00:32:57,320
1483
+ ูƒู„ ู…ุฎุชู„ูุฉ ุงุฌู…ุน
1484
+
1485
+ 372
1486
+ 00:32:57,320 --> 00:33:05,860
1487
+ ูƒู„ ู…ุฎุชู„ูุฉ
1488
+
1489
+ 373
1490
+ 00:33:09,290 --> 00:33:18,950
1491
+ ุฅุฐุง ุงู„ุตู… ุงู„ู„ูŠ ู‡ู†ุง ุฃุทู„ุน 130 ู†ูุณ
1492
+
1493
+ 374
1494
+ 00:33:18,950 --> 00:33:25,670
1495
+ ุงู„ู…ุฑุญู„ุฉุŒ ุงุฎุชู„ุท ู‡ุฐุง ุงู„ูˆุถุน ุจุงู„ู€ N-1 130
1496
+
1497
+ 375
1498
+ 00:33:25,670 --> 00:33:35,490
1499
+ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ 7 ู„ุฃู† N ู‡ูŠ 8 ู‡ู†ุงูƒ 8 ู‚ูŠู…ุฉ 8-1 ูŠุนู†ูŠ 7
1500
+
1501
+ 376
1502
+ 00:33:35,490 --> 00:33:36,110
1503
+ 18
1504
+
1505
+ 377
1506
+ 00:33:45,590 --> 00:33:50,370
1507
+ .57 ุขุฎุฑ ุฎุทูˆุฉ ุงุฎุฐ ุฑู‚ู… ุฃุณุงุณูŠ ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1508
+
1509
+ 378
1510
+ 00:33:50,370 --> 00:33:51,470
1511
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1512
+
1513
+ 379
1514
+ 00:33:51,470 --> 00:33:52,250
1515
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1516
+
1517
+ 380
1518
+ 00:33:52,250 --> 00:33:53,490
1519
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1520
+
1521
+ 381
1522
+ 00:33:53,490 --> 00:33:53,510
1523
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1524
+
1525
+ 382
1526
+ 00:33:53,510 --> 00:33:54,010
1527
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1528
+
1529
+ 383
1530
+ 00:33:54,010 --> 00:33:54,370
1531
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1532
+
1533
+ 384
1534
+ 00:33:54,370 --> 00:33:55,910
1535
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1536
+
1537
+ 385
1538
+ 00:33:55,910 --> 00:34:00,270
1539
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1540
+
1541
+ 386
1542
+ 00:34:00,270 --> 00:34:09,430
1543
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ู…ุฌู…ูˆุนุงุช
1544
+
1545
+ 387
1546
+ 00:34:16,510 --> 00:34:25,330
1547
+ 3 0 9 5 ุฅุฐุง step number one compute the difference
1548
+
1549
+ 388
1550
+ 00:34:25,330 --> 00:34:29,730
1551
+ between each value and the mean we did compute the
1552
+
1553
+ 389
1554
+ 00:34:29,730 --> 00:34:35,930
1555
+ mean which is 16 sum of x divided by n next step
1556
+
1557
+ 390
1558
+ 00:34:35,930 --> 00:34:41,670
1559
+ we compute the difference between the value and x
1560
+
1561
+ 391
1562
+ 00:34:41,670 --> 00:34:46,560
1563
+ bar for each oneDouble check this sum is zero to
1564
+
1565
+ 392
1566
+ 00:34:46,560 --> 00:34:51,160
1567
+ make sure to go to the next step then take the
1568
+
1569
+ 393
1570
+ 00:34:51,160 --> 00:34:53,960
1571
+ difference this difference just take the square of
1572
+
1573
+ 394
1574
+ 00:34:53,960 --> 00:34:59,980
1575
+ this difference ุฑุจุน ุงู„ูุฑู‚ ุงุฌู…ุน ุงู„ู„ูŠ ุฑุจุนุชู‡ ุนู„ู‰ 130
1576
+
1577
+ 395
1578
+ 00:34:59,980 --> 00:35:04,600
1579
+ ู„ูˆ ุนุงูŠุฒ ุงู„ sample variance divide by 130 by n
1580
+
1581
+ 396
1582
+ 00:35:04,600 --> 00:35:08,740
1583
+ minus one n is eight minus one is seven so we get
1584
+
1585
+ 397
1586
+ 00:35:08,740 --> 00:35:14,440
1587
+ 130 over seven is eighteen point five sevenุงู„ุงู†
1588
+
1589
+ 398
1590
+ 00:35:14,440 --> 00:35:19,080
1591
+ ุฃุฎูŠุฑู‹ุง ู„ุฅูŠุฌุงุฏ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู…ุŒ ูŠุฌุจ ุฃู† ุชุฃุฎุฐ ุฃุณุนุฉ
1592
+
1593
+ 399
1594
+ 00:35:19,080 --> 00:35:23,840
1595
+ ุฃุณุงุณูŠุฉ ู‡ุฐุง ุงู„ู‚ูŠู… ู„ุฅูŠุฌุงุฏ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู„ู„ุฌู…ู‡ูˆุฑ.
1596
+
1597
+ 400
1598
+ 00:35:24,060 --> 00:35:29,000
1599
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ุทุฑูŠู‚ุฉ ุฃุณู‡ู„ ู„ุชุฌุงุฑุจ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุนุงู… ู„ู„ุฌู…ู‡ูˆุฑ.
1600
+
1601
+ 401
1602
+ 00:35:30,180 --> 00:35:36,640
1603
+ ูŠูˆุฌุฏ ุทุฑูŠู‚ุฉ ู‚ุตูŠุฑุฉ ู„ู„ุฌู…ู‡ูˆุฑ ุจุฏูˆู† ุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉุŒ
1604
+
1605
+ 402
1606
+ 00:35:36,640 --> 00:35:43,390
1607
+ ูŠู…ูƒู†ูƒ ุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉุฃูˆู„ุง ูŠุฌุจ ุฃู† ุชู‚ูˆู… ุจุงู„ู…ูŠุงู†
1608
+
1609
+ 403
1610
+ 00:35:43,390 --> 00:35:51,030
1611
+ ู…ุซู„ ู…ุง ูุนู„ู†ุงู‡ ู‚ุจู„ X bar ู‡ูˆ 18 ุซู… ุงุฎุชูŠุงุฑ 10 ู‡ุฐุง ู‡ูˆ
1612
+
1613
+ 404
1614
+ 00:35:51,030 --> 00:35:58,350
1615
+ 10 ุฃูˆู„ ู‚ูŠู…ุฉ ุฃู‚ู„ ู…ู† 16 ุซู… ุฃูƒุชุฑู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุชุงู„ูŠุฉ 12
1616
+
1617
+ 405
1618
+ 00:35:58,350 --> 00:36:05,930
1619
+ -16 ุฃูƒุชุฑู‡ 14-16 ุฃูƒุชุฑู‡ ูˆูƒุฐู„ูƒ ู„ู„ู‚ูŠู…ุงุช ุงู„ุชุงู„ูŠุฉ ุญุชู‰
1620
+
1621
+ 406
1622
+ 00:36:05,930 --> 00:36:12,190
1623
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุฃุฎูŠุฑุฉ 24-16 ุฃูƒุชุฑู‡ุชุฃุฎุฐ ูู‚ุท ุงู„ู€ sum ูˆ ุงุฎุชุงุฑ
1624
+
1625
+ 407
1626
+ 00:36:12,190 --> 00:36:18,430
1627
+ square root ู„ุชุญุตู„ ุนู„ู‰ ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ุฎุชุตุฑุฉ ู‡ูŠูƒ
1628
+
1629
+ 408
1630
+ 00:36:18,430 --> 00:36:22,030
1631
+ ุณุทุฑ ูˆุงุญุฏ ุงุชุนูˆุฏ ุนู„ูŠู‡ุง step by step ูƒู…ุง ูุนู„ุช ููŠ
1632
+
1633
+ 409
1634
+ 00:36:22,030 --> 00:36:29,030
1635
+ ุงู„ุฃูˆู„ ุซู… ูŠู…ูƒู†ูƒ ุฃู† ุชุนู…ู„ ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุงู„ุฃูˆู„ุงู†ูŠุฉ ุฃุถู…ู†
1636
+
1637
+ 410
1638
+ 00:36:29,030 --> 00:36:34,710
1639
+ ุจุงู„ุดุบู„ ู„ูƒ ุฏุนูˆู†ุง
1640
+
1641
+ 411
1642
+ 00:36:34,710 --> 00:36:40,420
1643
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุนุงุฏูŠุฉุญู„ู‚ุฉ ุงู„ู…ูŠุงุฑูŠุฉ
1644
+
1645
+ 412
1646
+ 00:36:40,420 --> 00:36:47,040
1647
+ ู„ุชู‚ุงุฑูŠุฑ ุซู„ุงุซ ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„ ู„ุฏูŠู†ุง
1648
+
1649
+ 413
1650
+ 00:36:47,040 --> 00:36:55,140
1651
+ ุซู„ุงุซ ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ุงู„ุจูŠุงู†ุงุช A, B ูˆC ุงู„ู‚ูŠู…
1652
+
1653
+ 414
1654
+ 00:36:55,140 --> 00:37:00,360
1655
+ ู„ู„ุจูŠุงู†ุงุช A 11,
1656
+
1657
+ 415
1658
+ 00:37:00,960 --> 00:37:06,320
1659
+ 12, 13 ุซู… ู„ุฏูŠู†ุง 2, 16, 17, 18 ูˆ21
1660
+
1661
+ 416
1662
+ 00:37:09,030 --> 00:37:15,450
1663
+ ุฅุฐุง ุฑุฃูŠุช ุฃู† ู‡ู†ุงูƒ ูุฌูˆุงุช ุจูŠู† ุงู„ู‚ูŠู… ุจูŠู† 13 ูˆ 16 ู‡ู†ุงูƒ
1664
+
1665
+ 417
1666
+ 00:37:15,450 --> 00:37:20,990
1667
+ ูุฌูˆุงุช ุฃูŠุถู‹ุง ู‡ู†ุงูƒ ูุฌูˆุงุช ุจูŠู† 18 ูˆ 21 ูˆุงุถุญ ููŠ ูุฌูˆุงุช
1668
+
1669
+ 418
1670
+ 00:37:20,990 --> 00:37:28,690
1671
+ ู…ุง ุจูŠู† ุงู„ู‚ูŠู… ุงู„ุจูŠุงู†ุงุช ุงู„ุชุงู„ูŠุฉ ุชุจุฏุฃ ู…ุน 14 ูˆ ุชู†ุชู‡ูŠ
1672
+
1673
+ 419
1674
+ 00:37:28,690 --> 00:37:32,810
1675
+ ู…ุน 17 ูˆ ู„ุง ูŠูˆุฌุฏ ูุฌูˆุงุช ู…ุง ุจูŠู†ู‡ู… ู„ุงุญุธ ุงู„ู‚ูŠู… ู…ุฑุง ุจุนุถ
1676
+
1677
+ 420
1678
+ 00:37:32,810 --> 00:37:39,780
1679
+ 14 ุจุนุฏ ู‚ู„ูŠู„ 3 15 3 16 1 17Lost dataset data C
1680
+
1681
+ 421
1682
+ 00:37:39,780 --> 00:37:48,120
1683
+ ู„ุฏูŠู†ุง 11 ุซู„ุงุซ ู…ุฑุงุช 11 11 11 ุซู… 12 ุซู… ู‡ู†ุงูƒ ูุฌูˆุฉ
1684
+
1685
+ 422
1686
+ 00:37:48,120 --> 00:37:59,700
1687
+ ูƒุจูŠุฑุฉ ุจูŠู† 12 ูˆ19 ู„ุฏูŠู†ุง 119 ุซู… ู‡ู†ุงูƒ 320 ุงู„ุจูŠุงู†ุงุช
1688
+
1689
+ 423
1690
+ 00:37:59,700 --> 00:38:08,640
1691
+ A, B ูˆC ุฅุฐุง ูƒู†ุช ุชู‚ูˆู… ุจู…ุนุฑูุฉ ุงู„ู…ูŠุงู†ุฉ ุณุชุฌุฏ ุงู„ู…ูŠุงู†ุฉis
1692
+
1693
+ 424
1694
+ 00:38:08,640 --> 00:38:11,880
1695
+ the same for each data so each one has the same
1696
+
1697
+ 425
1698
+ 00:38:11,880 --> 00:38:17,500
1699
+ mean of 15.5 ูƒู„ู‡ู… ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ุงู„ mean ุจุงู„ุฑุบู… ุงู†
1700
+
1701
+ 426
1702
+ 00:38:17,500 --> 00:38:23,600
1703
+ ุงู†ุช ุญุณุจุชู‡ู… ู„ุญุงู„ูƒ ูŠุนู†ูŠ ุฌู…ุงุนุฉ 11 12 13 ูˆ 16 ูˆ 17 ูˆ
1704
+
1705
+ 427
1706
+ 00:38:23,600 --> 00:38:29,860
1707
+ 18 ูˆ 21 ูˆุนู„ู‰ ุนุฏุฏู‡ู… ู‡ูŠุทู„ุน 15.5 ู„ูƒู„ ุงู„ data ุงู„ู„ูŠ ู‡ูˆ
1708
+
1709
+ 428
1710
+ 00:38:29,860 --> 00:38:34,500
1711
+ ู†ูุณ ุงู„ mean ู„ูƒู† ูˆุงุถุญ ุงู„ุดูƒู„ ู…ุงู„ู‡ ู…ู† ุฒูŠ ุจุนุถ ููƒูŠู
1712
+
1713
+ 429
1714
+ 00:38:34,500 --> 00:38:37,870
1715
+ ุจู†ุนู…ู„ comparison between these three datasetsYou
1716
+
1717
+ 430
1718
+ 00:38:37,870 --> 00:38:42,630
1719
+ can't just rely on the mean ู…ู‚ุฏุฑุด ุงุนุชู…ุฏ ุนู„ู‰
1720
+
1721
+ 431
1722
+ 00:38:42,630 --> 00:38:46,510
1723
+ ุงู„ู€mean ู„ุฅู†ู‡ู… the same mean ู„ูˆ ุญุณุจุช ุงู„ standard
1724
+
1725
+ 432
1726
+ 00:38:46,510 --> 00:38:48,770
1727
+ deviation ุฒูŠ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุญุณุจู†ุงู‡ุง ูˆ ุญุงูˆู„ุช ุฃุนู…ู„ู‡ุง
1728
+
1729
+ 433
1730
+ 00:38:48,770 --> 00:38:52,910
1731
+ ููŠ ุงู„ุจูŠุช ูŠุงู†ุญุณุจูŠ ุงู„ standard deviation ู„ู„ุฃูˆู„ู‰ ูˆ
1732
+
1733
+ 434
1734
+ 00:38:52,910 --> 00:38:59,770
1735
+ ู„ู„ุชุงู†ูŠุฉ ูˆ ู„ู„ุชุงู„ุชุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠุทู„ุน 3.338 second one 0
1736
+
1737
+ 435
1738
+ 00:38:59,770 --> 00:39:04,010
1739
+ .926 third one 4.567
1740
+
1741
+ 436
1742
+ 00:39:05,670 --> 00:39:12,270
1743
+ ุชู„ุงุญุธ ุฃู† ุงู„ู€Variances ู…ุง ู„ู‡ู… ู„ูŠุณูˆุง ู†ูุณู‡ุง ู‚ูŠู…ุฉ ุฃู‚ู„
1744
+
1745
+ 437
1746
+ 00:39:12,270 --> 00:39:20,890
1747
+ ูˆุงุญุฏุฉ ุฃู‚ู„ ูˆุงุญุฏุฉ ุฃู‚ู„ ูˆุงุญุฏุฉ ุฃู‚ู„ ูˆุงุญุฏุฉ 926.926.926
1748
+
1749
+ 438
1750
+ 00:39:20,890 --> 00:39:21,690
1751
+ .926.926.926.926.926.926.926.926.926.926.926.926
1752
+
1753
+ 439
1754
+ 00:39:21,690 --> 00:39:21,830
1755
+ .926.926.926.926.926.926.926.926.926.926.926.926
1756
+
1757
+ 440
1758
+ 00:39:21,830 --> 00:39:25,010
1759
+ .926.926.926.926.926
1760
+
1761
+ 441
1762
+ 00:39:25,010 --> 00:39:26,710
1763
+ .926.926.926.926.926.926.926.926.926.926.926.926
1764
+
1765
+ 442
1766
+ 00:39:26,710 --> 00:39:34,170
1767
+ .926.926.926.9
1768
+
1769
+ 443
1770
+ 00:39:36,200 --> 00:39:41,180
1771
+ ู…ุฑูƒุฒุฉ ุฃูƒุชุฑุŒ ู„ุญุธุฉ ุงู„ value ุณุจุนุชู‡ุง 14, 15, 16, 17
1772
+
1773
+ 444
1774
+ 00:39:41,180 --> 00:39:48,400
1775
+ ู…ุฑูƒุฒูŠู† ุญูˆุงู„ูŠู† ู…ูŠู†ุŸ ุญูˆุงู„ูŠู† ู…ูŠู†ุŸ 15.5 ูŠุนู†ูŠ ู‡ู… ุญูˆุงู„ูŠู†
1776
+
1777
+ 445
1778
+ 00:39:48,400 --> 00:39:54,600
1779
+ ุงู„ 15.5 ุฅุฐุง ุงู„ data ุงู„ู„ูŠ ู‡ู†ุง concentrated about
1780
+
1781
+ 446
1782
+ 00:39:54,600 --> 00:40:00,480
1783
+ its mean ู…ุชู…ุฑูƒุฒุฉ ุญูˆุงู„ูŠู† ุงู„ูˆุณุท ุชุจุนู‡ุง ุทุจ ู…ูŠู† ุฃูƒุจุฑ
1784
+
1785
+ 447
1786
+ 00:40:00,480 --> 00:40:01,260
1787
+ ูˆุงุญุฏุฉ ููŠู‡ู…ุŸ
1788
+
1789
+ 448
1790
+ 00:40:03,910 --> 00:40:08,710
1791
+ ุงู„ู€ C ุชู„ุงุญุธ ุงู„ู€ C ู„ูŠุด ุฃูƒุจุฑ ูˆุงุญุฏุฉุŸ ููŠ ุนู†ุฏู‰ big ูุฌูˆุฉ
1792
+
1793
+ 449
1794
+ 00:40:08,710 --> 00:40:14,390
1795
+ ูƒุจูŠุฑุฉ ุฌุฏุง ุจูŠู†ู‡ู… ู„ุงุญุธ ุงู„ million ูˆ 15.5 ู„ูƒู† ููŠ ูุฌูˆุฉ
1796
+
1797
+ 450
1798
+ 00:40:14,390 --> 00:40:20,410
1799
+ ุจูŠู† 11 ูƒุจูŠุฑุฉ ู…ุน ุงู„ 15.5 ูˆ ุงู„ 20 ูˆ 15.5 ููˆุงุถุญ ุญุฏ
1800
+
1801
+ 451
1802
+ 00:40:20,410 --> 00:40:26,230
1803
+ ุฅู†ู‡ุง ุฃูƒุจุฑ spread ูŠุนู†ูŠ ูƒู„ ู…ุง ูƒุงู†ุช ุงู„ูุฌูˆุฉ ูƒุจูŠุฑุฉุงู„ู€
1804
+
1805
+ 452
1806
+ 00:40:26,230 --> 00:40:29,570
1807
+ variance ุฃูƒุจุฑ ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ุนู†ุฏู‰ ุงู„ variance ูƒุจูŠุฑ ุฒูŠ
1808
+
1809
+ 453
1810
+ 00:40:29,570 --> 00:40:32,870
1811
+ ู‡ูŠูƒ ู…ุน ูƒุฏู‡ ุงู„ูุฌูˆุฉ ูƒุจูŠุฑุฉ ู„ูˆ ูƒุงู†ุช ุงู„ูุฌูˆุฉ ูƒุจูŠุฑุฉ ู…ุน
1812
+
1813
+ 454
1814
+ 00:40:32,870 --> 00:40:36,330
1815
+ ูƒุฏู‡ ุงู„ variance ูƒุจูŠุฑุฉ ูˆ ุงู„ุนูƒุณ ุตุญูŠุญ ูŠุนู†ูŠ ูƒู„ ู…ุง ูƒุงู†ุด
1816
+
1817
+ 455
1818
+ 00:40:36,330 --> 00:40:41,530
1819
+ ููŠู‡ ูุฌูˆุงุช ุฒูŠ ู‡ูŠูƒ ุงู„ variance ู…ุงู„ู‡ ุจูƒูˆู† ุฃู‚ู„ ุฅุฐุง ุงู„
1820
+
1821
+ 456
1822
+ 00:40:41,530 --> 00:40:46,190
1823
+ data's ูƒุงู†ุช concentrated ุจูƒูˆู† ุงู„ุชุจุงูŠู† ุชุจุญ ุฃู‚ู„ ูŠุนู†ูŠ
1824
+
1825
+ 457
1826
+ 00:40:46,190 --> 00:40:50,490
1827
+ ุฅุฐุง ุงู„ุชุจุงูŠู† ุตุบูŠุฑ ุจูŠูƒูˆู† ุงู„ spread ู…ุงู„ู‡ ู‚ู„ูŠู„ ุงู„ุชุดุชุช
1828
+
1829
+ 458
1830
+ 00:40:50,490 --> 00:41:00,840
1831
+ ุฃู‚ู„ ุทู„ุน ุนู„ู‰ ุงู„ two graphsุงู„ุฃุนู„ู‰ ู‡ูˆ A ูˆุงู„ุฃุณูู„ ู‡ูˆ B
1832
+
1833
+ 459
1834
+ 00:41:00,840 --> 00:41:11,260
1835
+ ูƒู„ุง ุงู„ุฌุฑุงูุงุช ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู€ mean ู†ูุณ ุงู„ู€ center ู„ูƒู†
1836
+
1837
+ 460
1838
+ 00:41:11,260 --> 00:41:15,180
1839
+ ู…ูŠู† ู„ู‡ ุฃู‚ู„ standard deviationุŸ ู„ุญุธุฉ ุงู„ู€ A ู‡ูˆ ุงู„ู€
1840
+
1841
+ 461
1842
+ 00:41:15,180 --> 00:41:20,160
1843
+ spread ุชุจุนู‡ ุฎุฏ ุนู†ุฏ ุฃูŠ ู†ู‚ุทุฉ ู‡ู†ุง ู…ุซู„ุง ู‡ุฐู‡ ุงู„ู€ A ูˆู‡ูŠ
1844
+
1845
+ 462
1846
+ 00:41:20,160 --> 00:41:24,460
1847
+ ุงู„ู€ mean ู‡ุฐู‡ ุงู„ spread ุชุจุนู‡ ุทูŠุจ ู„ู„ู€ B
1848
+
1849
+ 463
1850
+ 00:41:27,340 --> 00:41:34,440
1851
+ ุฃูƒุจุฑ ูุจู„ุงุญุธ ุงู„ู€ A ู„ุฏูŠู‡ ุนู…ู„ูŠุงุช ุฃู‚ู„ ู…ู† graph B ู„ูŠุดุŸ
1852
+
1853
+ 464
1854
+ 00:41:34,440 --> 00:41:45,160
1855
+ ู„ุฃู† ุงู„ู€ A ู„ุณู‡ ุฃูƒุชุฑ ู…ู† graph B ู„ุฐู„ูƒุŒ ุจู…ุนู†ู‰ ุนุงู…ุŒ ูƒู„
1856
+
1857
+ 465
1858
+ 00:41:45,160 --> 00:41:52,920
1859
+ ู…ุง ุชูƒูˆู† ุงู„ data ู…ู†ุชุดุฑุฉ ุฃูƒุชุฑ ุฒูŠ ุฃูŠ ูˆุงุญุฏ ุฒูŠ ุงู„ data
1860
+
1861
+ 466
1862
+ 00:41:52,920 --> 00:41:58,350
1863
+ A ูˆ ู„ุง B ูˆ ู„ุง C ุงู„ู„ูŠ ูƒุงู†ุช ุชุญุช Cthe more the data
1864
+
1865
+ 467
1866
+ 00:41:58,350 --> 00:42:02,550
1867
+ are spread out the greater range variance and
1868
+
1869
+ 468
1870
+ 00:42:02,550 --> 00:42:05,770
1871
+ standard deviation ู…ุน ูƒุฏู‡ ูƒู„ ู…ุง ูƒุงู† ุงู„ุงู†ุชุดุงุฑ ุฃูƒุจุฑ
1872
+
1873
+ 469
1874
+ 00:42:05,770 --> 00:42:09,590
1875
+ ุงู„ู…ุงุฏุฉ ุจูŠุฒูŠุฏ ุฃูˆ ุงู„ูˆุงุญุฏ ุงู„ range ูˆ ุงู„ variance
1876
+
1877
+ 470
1878
+ 00:42:09,590 --> 00:42:14,430
1879
+ ุจูŠุฒูŠุฏ ูˆ ุงู„ standard deviation ุฒูŠู‡ ุจูŠุฒูŠุฏ the more
1880
+
1881
+ 471
1882
+ 00:42:14,430 --> 00:42:17,870
1883
+ the data are concentrated ุงูŠุด ูŠุนู†ูŠ concentrated
1884
+
1885
+ 472
1886
+ 00:42:17,870 --> 00:42:23,540
1887
+ ู…ุฑูƒุฒ ุฃูƒุชุฑ ู…ุชุฌู…ุน ุฃูƒุชุฑ ุญูˆุงู„ูŠู† ุงู„ู…ูŠู†ุจุงู„ุธุจุท the
1888
+
1889
+ 473
1890
+ 00:42:23,540 --> 00:42:25,360
1891
+ smaller the range variance and standard deviation
1892
+
1893
+ 474
1894
+ 00:42:25,360 --> 00:42:29,820
1895
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ูŠูƒูˆู† ุงู„ุชู…ุฑูƒุฒ ุญูˆุงู„ูŠู† ุจุนุถ ู…ุน ูƒุฏู‡ ุงู„ู…ุฏู‰
1896
+
1897
+ 475
1898
+ 00:42:29,820 --> 00:42:32,960
1899
+ ุตุบูŠุฑ ูˆ ุงู„ variance ุตุบูŠุฑ ูˆ ุงู„ุชุดุชุช ุงูˆ ุงู„ standard
1900
+
1901
+ 476
1902
+ 00:42:32,960 --> 00:42:37,300
1903
+ deviation ุตุบูŠุฑ ู‡ุฐูˆู„ ุนูƒุณ ุจุนุถ ุงุฐุง the more the data
1904
+
1905
+ 477
1906
+ 00:42:37,300 --> 00:42:40,400
1907
+ are spread out the greater range variance and
1908
+
1909
+ 478
1910
+ 00:42:40,400 --> 00:42:42,900
1911
+ standard deviation the more the data are
1912
+
1913
+ 479
1914
+ 00:42:42,900 --> 00:42:46,500
1915
+ concentrated ู…ุน ูƒุฏู‡ the smaller range variance and
1916
+
1917
+ 480
1918
+ 00:42:46,500 --> 00:42:51,410
1919
+ standard deviation another characteristicsุงู„ุงู†
1920
+
1921
+ 481
1922
+ 00:42:51,410 --> 00:42:59,390
1923
+ ุงูุชุฑุถ ุงู† ุชูƒูˆู† ู„ุฏูŠูƒ ู…ุญุงูุธุฉ ูˆ ูƒู„ ูˆุงุญุฏ ู…ู†ูƒ ุฃุฎุฐ ู†ูุณ ุงู„
1924
+
1925
+ 482
1926
+ 00:42:59,390 --> 00:43:04,430
1927
+ score ูŠุนู†ูŠ ุงูุชุฑุถ ุงู„ score ู…ู† ุฎู…ุณูŠู† ูˆ ูƒู„ ุทุงู„ุจ ุฃุฎุฐ
1928
+
1929
+ 483
1930
+ 00:43:04,430 --> 00:43:09,610
1931
+ ุงุฑุจุนูŠู† ูƒู„ู‡
1932
+
1933
+ 484
1934
+ 00:43:09,610 --> 00:43:14,410
1935
+ ุทู„ุน ุจู†ูุณ ุงู„ุฏุฑุฌุฉ ู„ูˆ
1936
+
1937
+ 485
1938
+ 00:43:14,410 --> 00:43:19,570
1939
+ ุทู„ุนุช ู‡ู†ุง ูˆ ูƒู„ ุทุงู„ุจ ุงุฑุจุนูŠู† ุงูŠุด ุงู„ average ุชุจุนู‡ู…ุŸุงู„
1940
+
1941
+ 486
1942
+ 00:43:19,570 --> 00:43:24,890
1943
+ average ูƒู„ูƒูˆุง ุงุฑุจุนูŠู† ุฎู„ูŠู†ุง ุงุฑุจุน ุทู„ุงุจ ุงูˆ ุฎู…ุณ ุทู„ุงุจ
1944
+
1945
+ 487
1946
+ 00:43:24,890 --> 00:43:27,550
1947
+ ุงุฑุจุนูŠู† ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู† ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู† ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู†
1948
+
1949
+ 488
1950
+ 00:43:27,550 --> 00:43:30,990
1951
+ ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู† ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู† ุงุดู…ุฌูˆุง ุญู…ูŠุฏูŠู† ุนู„ู‰ ุฎู…ุณุฉ
1952
+
1953
+ 489
1954
+ 00:43:30,990 --> 00:43:35,770
1955
+ ุงุฑุจุนูŠู† ุจุงู„ุชุงู„ูŠ ุงู„ average ู‡ูƒูˆู† ุงุฑุจุนูŠู† ู„ู…ุง ุทู„ุน ุงู„
1956
+
1957
+ 490
1958
+ 00:43:35,770 --> 00:43:40,090
1959
+ difference ุจุตูŠุฑ ุงู„ value ู…ู† ุงู„ู…ูŠู† ุงูŠุด ุจูŠุณุงูˆูŠุŸ zero
1960
+
1961
+ 491
1962
+ 00:43:40,090 --> 00:43:43,370
1963
+ ุงุฑุจุนูŠู† ู†ู‚ุต ุงุฑุจุนูŠู† ู…ุด ู‡ูŠูƒ ูƒู„ ุทุงู„ุจ ู†ูุณ ุงู„ุฏุฑุฌุฉ
1964
+
1965
+ 492
1966
+ 00:43:43,370 --> 00:43:47,170
1967
+ ุจุงู„ุชุงู„ูŠ ุงู„ูุฑู‚ ุจูŠู†ูƒูˆุง ูˆ ุจูŠู† ุฒู…ูŠู„ุชูƒ ููŠ ุงู„ average
1968
+
1969
+ 493
1970
+ 00:43:47,170 --> 00:43:54,060
1971
+ ุจูŠุณุงูˆูŠ zeroู…ุนู†ู‰ ูƒุฏู‡ ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ูŠู… ู…ุชุดุงุจู‡ุฉ ูƒู„
1972
+
1973
+ 494
1974
+ 00:43:54,060 --> 00:43:57,780
1975
+ ุงู„ู‚ูŠู… ุฒูŠ ุจุนุถ ู…ุน ูƒุฏู‡ ู„ุง ูŠูˆุฌุฏ ูุฑู‚ ุจูŠู† ุงู„ุทุงู„ุจ ูˆ
1976
+
1977
+ 495
1978
+ 00:43:57,780 --> 00:44:03,140
1979
+ ุงู„ุชุงู†ูŠ ูƒู„ ู‡ุฐู‡ ุงู„ู…ูŠุฌุงุฑุงุช ุณุชูƒูˆู† ุตูุฑ ูƒู„ ู‡ุฐู‡ ุงู„ู…ูŠุฌุงุฑุงุช
1980
+
1981
+ 496
1982
+ 00:44:03,140 --> 00:44:07,060
1983
+ ุณุชูƒูˆู† ุตูุฑ ู„ุฃู† ุงุชุฎุฐุช ุงู„ range ุงู„ range ุนุจุงุฑุฉ ุนู† ุงูŠุด
1984
+
1985
+ 497
1986
+ 00:44:07,060 --> 00:44:13,220
1987
+ maximum minus minimum ู…ุง ูƒู„ู‡ู… ุฒูŠ ุจุนุถ ุณูŠูƒูˆู† ุตูุฑ
1988
+
1989
+ 498
1990
+ 00:44:13,220 --> 00:44:18,630
1991
+ ุชุฎูŠู„ ู‡ุฏูˆู„ ูƒู„ู‡ู… 40ุจุตูŠุฑ ุงุฑุจุนูŠู† ู†ู‚ุต ุงุฑุจุนูŠู† ู‡ุฐุง ูƒู„ู‡
1992
+
1993
+ 499
1994
+ 00:44:18,630 --> 00:44:22,530
1995
+ zero ูˆุงู„ุจุนุฏ ู„ู…ุง ุฃุฑุจุน ุงู„ zero ุจุฑุถู‡ zero ูุจุงู„ุชุงู„ูŠ ู‡ูŠ
1996
+
1997
+ 500
1998
+ 00:44:22,530 --> 00:44:28,710
1999
+ ุณูˆู‰ zero none of these measures are ever negative
2000
+
2001
+ 501
2002
+ 00:44:28,710 --> 00:44:34,490
2003
+ none of these measures are ever negative none of
2004
+
2005
+ 502
2006
+ 00:44:34,490 --> 00:44:37,470
2007
+ these measures are ever negative ูˆู„ุง ูˆุงุญุฏุฉ ู…ู†ู‡ุง
2008
+
2009
+ 503
2010
+ 00:44:37,470 --> 00:44:44,610
2011
+ ุจุชูƒูˆู† ุณุงู„ุจุฉ ุดูˆู ุช make sense ู‡ู†ุง ู„ุฅู† ู„ู…ุง ุฃุฑุจุน ุงู„
2012
+
2013
+ 504
2014
+ 00:44:44,610 --> 00:44:45,850
2015
+ negative ุจุตูŠุฑ positive
2016
+
2017
+ 505
2018
+ 00:44:48,350 --> 00:44:52,070
2019
+ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Range ุงู„ู€ Range ุจูŠุงุฎุฏ ู…ุง ู‡ูˆ maximum
2020
+
2021
+ 506
2022
+ 00:44:52,070 --> 00:44:57,930
2023
+ minus minimum ุชู„ุนุจ ุงู„ data ุงู„ู„ูŠ ู‡ู†ุง maximum 24 ุงู„
2024
+
2025
+ 507
2026
+ 00:44:57,930 --> 00:45:05,890
2027
+ minimum ูƒุฏู‡ุŸ ุงูŠุด ุญุณุงูˆูŠุŸ positive ู„ูˆ suppose the
2028
+
2029
+ 508
2030
+ 00:45:05,890 --> 00:45:10,230
2031
+ data are negative suppose we talk about
2032
+
2033
+ 509
2034
+ 00:45:10,230 --> 00:45:13,710
2035
+ temperature
2036
+
2037
+ 510
2038
+ 00:45:13,710 --> 00:45:17,050
2039
+ ูˆ ููŠ ุนู†ุฏูŠ negative 16
2040
+
2041
+ 511
2042
+ 00:45:20,200 --> 00:45:25,320
2043
+ up to negative three ู…ูŠู†
2044
+
2045
+ 512
2046
+ 00:45:25,320 --> 00:45:30,740
2047
+ ุงู„ maximum ููŠู‡ู…ุŸ ู‡ุฐุง ุงู„ largest ูˆ ู‡ุฐุง ุงู„ minimumุŒ
2048
+
2049
+ 513
2050
+ 00:45:30,740 --> 00:45:38,580
2051
+ ู…ุด ู‡ูŠูƒุŸ ุจุงู„ minus ุชุนูƒุณ ุงู„ range ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุงู„
2052
+
2053
+ 514
2054
+ 00:45:38,580 --> 00:45:45,840
2055
+ maxุŒ ู„ุญุธุฉ ูƒู„ ุงู„ data are negative ู‡ุงูŠ minus minus
2056
+
2057
+ 515
2058
+ 00:45:45,840 --> 00:45:47,840
2059
+ 16
2060
+
2061
+ 516
2062
+ 00:45:50,810 --> 00:45:58,750
2063
+ ู…ุงู†ูˆุณ ู…ุงู†ูˆุณ positive 13 ู„ุญุธุฉ ุงู„ุฑูŠุงู†ูƒ ุจูŠุณูˆูŠ 13 ูŠุนู†ูŠ
2064
+
2065
+ 517
2066
+ 00:45:58,750 --> 00:46:02,550
2067
+ positive ุฅุฐุง none of these measures are ever
2068
+
2069
+ 518
2070
+ 00:46:02,550 --> 00:46:07,870
2071
+ negative ุญุชู‰ ู„ูˆ ูƒุงู†ูˆุง ูƒู„ู‡ู… negative ูˆุงุถุญุŸ ูŠุนู†ูŠ
2072
+
2073
+ 519
2074
+ 00:46:07,870 --> 00:46:11,530
2075
+ ู…ู…ูƒู† ุงู„ mean ูŠูƒูˆู† negative ุทุจูŠุนูŠ ุงู„ mean ู„ูƒู† ุงู„
2076
+
2077
+ 520
2078
+ 00:46:11,530 --> 00:46:14,850
2079
+ variance ู…ุณุชุญูŠู„ ูŠูƒูˆู† negative ู„ุฃู† ุฃู†ุง ุฃุนูŠุด ุจุฑุจุน
2080
+
2081
+ 521
2082
+ 00:46:14,850 --> 00:46:23,580
2083
+ ู„ูƒู† ู…ู…ูƒู† ูŠุณูˆู‰ zero ุงู„ S square could be zeroู„ูˆ ูƒุงู†
2084
+
2085
+ 522
2086
+ 00:46:23,580 --> 00:46:27,020
2087
+ ูƒู„ ู…ุฒุงูŠุง ุจุนุถ ู„ูˆ ุงู„ู€ values are the same as we
2088
+
2089
+ 523
2090
+ 00:46:27,020 --> 00:46:29,860
2091
+ mentioned if the values are the same then all of
2092
+
2093
+ 524
2094
+ 00:46:29,860 --> 00:46:35,260
2095
+ these measures will be zero a square is always non
2096
+
2097
+ 525
2098
+ 00:46:35,260 --> 00:46:41,720
2099
+ -negative ุงูŠุด ูŠุนู†ูŠ non-negative ูŠุนู†ูŠ ู…ุด ุณุงู„ู… ูŠุนู†ูŠ
2100
+
2101
+ 526
2102
+ 00:46:41,720 --> 00:46:47,410
2103
+ it could be zero or greater than zeroุฅุฐุงู‹ุŒ ุฃูƒุชุฑ
2104
+
2105
+ 527
2106
+ 00:46:47,410 --> 00:46:50,110
2107
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชูŠ ุชู… ุชูุฑูŠุบู‡ุงุŒ ุฃูƒุชุฑ ู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ
2108
+
2109
+ 528
2110
+ 00:46:50,110 --> 00:46:52,790
2111
+ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ
2112
+
2113
+ 529
2114
+ 00:46:52,790 --> 00:46:53,310
2115
+ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ
2116
+
2117
+ 530
2118
+ 00:46:53,310 --> 00:46:53,950
2119
+ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ
2120
+
2121
+ 531
2122
+ 00:46:53,950 --> 00:46:54,990
2123
+ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ
2124
+
2125
+ 532
2126
+ 00:46:54,990 --> 00:47:02,630
2127
+ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ ูˆู…ู‚ุงุฑู†ุฉ
2128
+
2129
+ 533
2130
+ 00:47:02,630 --> 00:47:07,550
2131
+ ูˆู…ู‚ุงุฑู†ุฉ
2132
+
2133
+ 534
2134
+ 00:47:07,550 --> 00:47:10,770
2135
+ ูˆู…ู‚
2136
+