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1
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ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
2
00:00:22,250 --> 00:00:24,090
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
3
00:00:24,090 --> 00:00:24,410
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
4
00:00:24,410 --> 00:00:25,210
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
5
00:00:25,210 --> 00:00:25,590
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
6
00:00:25,590 --> 00:00:26,070
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
7
00:00:26,070 --> 00:00:26,170
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
8
00:00:26,170 --> 00:00:26,190
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
9
00:00:26,190 --> 00:00:26,190
ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู
10
00:00:26,190 --> 00:00:29,330
ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญูู
ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญูู
11
00:00:29,330 --> 00:00:36,810
ุจุณู
12
00:00:36,810 --> 00:00:37,810
ุงููู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู
13
00:00:37,810 --> 00:00:43,290
ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญู
ู ุงูุฑุญ
14
00:00:47,280 --> 00:00:49,700
ุฅูุด ุฃูุชูุง ุนุงูุฒููุ ุงุนูู ุงุฏููู ุณุคุงู ู
ุญุฏุฏ ุงูุถู ุงูู
15
00:00:49,700 --> 00:00:52,520
ุจูู ุฃู ุงูุง ู
ู
ูู ุงุดุชุฑู ู
ู ุงูุฃูู ู
ู ุงูุฃูู .. ู
ู
16
00:00:52,520 --> 00:00:58,680
ุงูุฃูู .. ูุนูู practice ..
17
00:01:22,020 --> 00:01:29,160
ู
ุงุดู ุจุดูู ูุฏู ุงู ุดุงุก ุงููู ูุฃ ูุจุฏุฃ question number
18
00:01:29,160 --> 00:01:35,230
one ุฃูุง ุจุฏู ุฃูุฑุง ุงูุณุคุงู ุฃููู
ู ุงูู
ุนูู ุชุจุนูู ุงุนุฑูู
19
00:01:35,230 --> 00:01:38,290
ุงูุด ุงู keyboards ุงููู ุงุญูุง ุนุงูุฒูููุง ูุนูู ููู
ุงุช
20
00:01:38,290 --> 00:01:42,310
ุงูู
ูุชุงุญูุฉ ุงููู ู
ู ุฎูุงููุง ุจุนุฑู ุงูุญู ู ุจุนุฏูู ุจูุฏุฑ
21
00:01:42,310 --> 00:01:45,830
ุงุดูู ุฅุฌุงุจุงุช ู
ุด ุตุญูุญุฉ ู ุชู
ุนูุฏูู ู
ู
ูู ุฅุฌุงุจุฉ ุงู
22
00:01:45,830 --> 00:01:49,990
ุชูุชูู ูู
ุง ุงูุตุญ ูุจุฎุชุงุฑ ุงู correct answer ุงู sample
23
00:01:49,990 --> 00:01:53,150
distribution describe distribution of ุงุญูุง ุฃุฎุฏูุง
24
00:01:53,150 --> 00:01:56,830
ูุจู ูููู
ุงู sample distribution ุจูุนู
ู distribution
25
00:01:56,830 --> 00:02:02,670
ู statistic ุงู
ุง ููููู ุงู sample meanุฃู ุงูู sample
26
00:02:02,670 --> 00:02:05,970
of proportion ุฏู ุดุฑุญ ุฎุจุท ุจููู ูุจูู ุงู hypothesis
27
00:02:05,970 --> 00:02:08,830
ุงู hypothesis ุจูููู ุงู claim about the population
28
00:02:08,830 --> 00:02:11,650
parameter ููุงู ุฅุฐุง ุงูุชุดุฑุช ุชุณุนุฉ ููู
ุฉ ุนู ุงู
29
00:02:11,650 --> 00:02:14,450
population parameter ูุนูู ุจุชููู
ุนู ุงู ู
ูู ูุนู
30
00:02:14,450 --> 00:02:17,960
ุงูุจูุนููู ุงูุญููุฉ ุงูุณุงุจุนุฉ ุนูุฏู
ุง ูุชุญุฏุซ ุนู ู
ุฌู
ูุนุฉ
31
00:02:17,960 --> 00:02:21,960
ู
ุฌู
ูุนุฉ ูุญู ูุชุญุฏุซ ุนู ู
ุฌู
ูุนุฉ ู
ุฌู
ูุนุฉ
32
00:02:21,960 --> 00:02:33,320
ุงูุงุณุชุงุชูุณุชูููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููููู
33
00:02:42,000 --> 00:02:44,680
both parameters and statistics ุทุจุนุง ูุฃ ูุงูุชุงูู
34
00:02:44,680 --> 00:02:48,060
correct answer is C ุฅุฐุง ุงู first one C is correct
35
00:02:48,060 --> 00:02:53,180
I just want to double check if the answers I mean
36
00:02:53,180 --> 00:02:55,960
answer key is correct or not at the end of your
37
00:02:55,960 --> 00:02:59,440
book ุญูุชุฃูุฏ ุฅูู ุจุณ ุตุญูุญ ููุง ูุฃ ุงู correct answer
38
00:02:59,440 --> 00:03:05,340
is C which is correct number two true or .. ุฅุฐุง
39
00:03:05,340 --> 00:03:10,840
one C number two true or falseุงูู Sample
40
00:03:10,840 --> 00:03:15,780
Distribution is defined as a probability
41
00:03:15,780 --> 00:03:20,020
distribution of sample sizes that can be observed
42
00:03:20,020 --> 00:03:27,780
from a given population ุฑูู
ุงุชููู ู
ุฑุฉ ุชุงููุฉ ุงูู
43
00:03:27,780 --> 00:03:29,940
Sample Distribution is defined as a probability
44
00:03:29,940 --> 00:03:34,260
distribution of possible sample sizes that can be
45
00:03:34,260 --> 00:03:38,250
observed ูู ุงูู Sample Distribution ูุนุทูุจูุนุทููู
46
00:03:38,250 --> 00:03:40,130
ุงูู mean ุงููู ูู ุงูู center ุจูุนุทููู ุงู spread
47
00:03:40,130 --> 00:03:45,350
ุจูุนุทููู ุงู shape ูุจุงูุชุงูู ุงู ูู .. ูู ุจูุญูู ุชุนุฑููู
48
00:03:45,350 --> 00:03:48,870
ุนุจุงุฑุฉ ุนู probability of distribution ุทุจุนุง ูุฃ ูู
49
00:03:48,870 --> 00:03:51,610
ุจูุนุทู ุงู center ุงู ุงู spread ุงู ุงู shape ูุจุงูุชุงูู
50
00:03:51,610 --> 00:03:54,290
ุจูุนุทูุด probability ู .. ูู
ุง ุจุญูู ูู ุงู X bar ุจุณูุงุฉ
51
00:03:54,290 --> 00:03:57,570
ุฎู
ุณูู ูู ุจูุนุทููู probability ูุฃ ุงุนุทุงูู ุงู center
52
00:03:57,570 --> 00:04:02,230
ุชุจุนูุง ุจุณูุงุฉ ุฎู
ุณูู ูุงุถุญุ ุฅุฐุง ูู
ุง ุจุญูู send
53
00:04:02,230 --> 00:04:06,440
distribution of X barุงูููู
ูู 16 ุฅุฐุง ูุงูุช ุงูููู
54
00:04:06,440 --> 00:04:09,600
ุงูุตุญูุญุฉ 10 ู
ุงุนุทุงููุด ุงูุจุฑุงุจูุฑูุง ุชุจุนูุง ุชุนุทุงูู ุงูููู
55
00:04:09,600 --> 00:04:14,740
ููููู
ุฃู ุงูููู
ุงูุตุญูุญุฉ ุฃู ุงูุดูู ููุณูุง ุฅุฐู ุจู is
56
00:04:14,740 --> 00:04:22,000
the correct answer ุฅุฐู ุงุชููู ุจู ุฑูู
ุชูุงุชุฉ ุงูุชูุงุชุฉ
57
00:04:22,000 --> 00:04:24,640
ุจูุญูู amount of time it takes to complete an
58
00:04:24,640 --> 00:04:29,090
examination has left skewed distributionุงูุฒู
ู ุงููู
59
00:04:29,090 --> 00:04:33,630
ูุงุฒู
ุนุดุงู ุชุญุณุจ it takes a complete examination
60
00:04:33,630 --> 00:04:38,630
ุชุฎูุต ุงูุงูุชุญุงู ุฅูู ุงููู ูู left skewedุ ุชูุฒูุน ู
ุด
61
00:04:38,630 --> 00:04:42,110
normal ุฅูู ุงููู ูู ููุดุ left skewed with a mean of
62
00:04:42,110 --> 00:04:46,290
65 minutes and standard deviation of 8 minutes if
63
00:04:46,290 --> 00:04:49,950
64 students were randomly sampled ุฃุฎุฏ ุนููุฉ ูุจูุฑุฉ
64
00:04:49,950 --> 00:04:56,180
ููุง ุตุบูุฑุฉุูุจูุฑุฉุ ุชุฐูุฑ ุงุญูุง ุญูููุง ูู
ุง ุชููู ุนูุฏู for
65
00:04:56,180 --> 00:04:59,540
most distributions ูู
ุง n is large, large enough it
66
00:04:59,540 --> 00:05:01,760
means greater than 30 then we can assume the
67
00:05:01,760 --> 00:05:04,600
popularly standard distribution of the standard
68
00:05:04,600 --> 00:05:08,140
mean is approximately normally distributedูู ูุงูุช
69
00:05:08,140 --> 00:05:11,420
N ุฃูุจุฑ ู
ู 30 ูุญูููุง for fair distribution ูู ูุงูุช
70
00:05:11,420 --> 00:05:15,980
N ุฃูุจุฑ ู
ู 15 ููุงุถุญ ุงูุญุงูุฉ ุงููู ุนูุฏู left skewed ู
71
00:05:15,980 --> 00:05:19,620
ุงู sample size ุฃุฎุฏุช ุฃุฏูุงุด 64 ูุนูู ุนุฏุงุฏูุง ุฃูุงุด more
72
00:05:19,620 --> 00:05:23,800
than 30 more than 30 ุฅุฐุง we are okay we are sample
73
00:05:23,800 --> 00:05:26,960
the probability that the sample mean of the sample
74
00:05:26,960 --> 00:05:30,740
distribution exceeds 71 minutes is approximately
75
00:05:30,740 --> 00:05:37,660
zeroูุงููู ูุฎุจุทูุง ููู ูุนูู ุงูุง ููุช ูููุฑ ุณูุงุก ูู
76
00:05:37,660 --> 00:05:41,280
ุงุชุฌุงู ุงูู ููููู ุงูุชูุฒูุน ุทุจูุนู ููุง ูุฃ ุทูู ุจูุญูู ูุฃ
77
00:05:41,280 --> 00:05:45,340
ูู ุนุงูุฒ ุงู mean ูุญุธุฉ ู
ุด ุจูุญูู ุงูุง ูุฐุง ูุฎุจุทู ุฎุงุฑุฌ
78
00:05:45,340 --> 00:05:49,160
ุจุฏูู ุงู probability ุจุชุฑูุฒ ูู ุงูุฃูู ุงู X bar ุงู ูู
79
00:05:49,160 --> 00:05:52,480
approximately normal ู
ุธุจูุทุ ู
ุชูููู ุนูููุง normal
80
00:05:52,480 --> 00:05:57,660
distributed ู
ุชูููู ุนูููุง ุจุณ ุญูุงูู with mean ูุฏุงุดุฑ
81
00:05:57,660 --> 00:06:06,980
65 ู
ุธุจูุทุ ู ุงู sigmaุทุจ ุฅูุด ูุงู ุนุงูุฒุ ูุจุฑูุงุจููุชู ุฅู
82
00:06:06,980 --> 00:06:14,020
ุณุงู
ุจุงูู
ูู ู
ุงูู ุงูุณูุฑ ุงู 71 ูู
ุง ุจูุญูู ุงูุฌูุงุจ ุฅูุด
83
00:06:14,020 --> 00:06:21,800
ุจูุณุงูู ุจูุชุฃูุฏ ูู ุงูุฌูุงุจ ุจูุณุงูู ุตูุฑ ููุง ูุฃ ุจูุญู
84
00:06:21,800 --> 00:06:25,180
ุงูู
ุซูุฉ ุฃูุง ุตุฑุช ู
ุด ุจุฑุญู ุงูู
ุซูุฉ ุฃูุง ููุช ูุงูุฑ ุฃุญูู
85
00:06:25,180 --> 00:06:30,800
ุงูุชูุฒูุน ุงูุทุจูุนู ููุง ูุฃ ุจุญุงููู ุนูู ุงู Z ู
ุธุจูุท ุงู CZ
86
00:06:30,800 --> 00:06:37,430
ุฃูุจุฑ ู
ู 71 minus the meanover sigma 8 ุนูู square
87
00:06:37,430 --> 00:06:42,570
root ูู N ุงู N ูุฏูุ 64 ูู ุฃุนุทุงู ุฅูุงูุง ุนุดุงู ุฃุนุฑู
88
00:06:42,570 --> 00:06:46,350
ุฃุทูุน ู
ููุ ุฃู ุจุงูุธุจุท ุนุดุงู ุฃุนุฑู ุฃุทูุน ุงู square root
89
00:06:46,350 --> 00:06:54,430
ุชููู ู
ุซูุง ุจุฏููุงุด calculator ูุฐุง ุฅูุด ูุชุณุงููุ
90
00:06:54,430 --> 00:07:01,010
ูุฏูู ุงูุจุตุด ู
ูุฌูุฏุsix ุจุนุฏูู ุชู
ุงููุฉ ุน ุชู
ุงููุฉ ู
ุด ููู
91
00:07:01,010 --> 00:07:07,690
ูุนูู ุจุฏูุฑ ุนูู P of Z ุฃูุจุฑ ู
ู ุณุชุฉ Z ุฃูุจุฑ ู
ู ุณุชุฉ ุงู
92
00:07:07,690 --> 00:07:12,730
ูุงุญุฏ ุจูุทูุน ูุงุญุฏ ููุต ูุงุญุฏ ูุงุญุฏ ููุต ุณู ุงู ูุงู ุงูุณุชุฉ
93
00:07:12,730 --> 00:07:18,600
ุงูุณุชุฉ ููู ุงู white side ุนูู ููู ุงูุนูุจูุฉุงูู tab
94
00:07:18,600 --> 00:07:21,740
ุงูู
ุนุทู ุงู area ููููุ to the left ุทุจุนุง z ุงู area to
95
00:07:21,740 --> 00:07:25,680
the left sideุ ู
ุธุจูุทุ ุงุฐุง this equals one minus b
96
00:07:25,680 --> 00:07:31,760
of z less than six ุงู tab ุงูู
ุนุทุงูู ูุบุงูุฉ 3.4 ู ุฌู
97
00:07:31,760 --> 00:07:38,000
ูุงู 9998 ูู ุงูุงุฎุฑุ ุงุฐุง ุชูุฑูุจุง ูุงุญุฏุ ุงุฐุง ูุฐู ูุงุญุฏุ
98
00:07:38,000 --> 00:07:41,440
ุงุฐุง ุงูุฌุงู
ุนู ู
ุด ุณุงููุ ูุนูู ุงูุฌุงู
ุนู ุตุญุ ูุงุญุธุฉ ุงูุง
99
00:07:41,440 --> 00:07:44,940
ุญูุช ุงูู
ุซู ุงุณุชุฎุฏู
ุช calculatorููุง ุงุณุชุฎุฏุงู
ุงู table
100
00:07:44,940 --> 00:07:47,980
ูุงู ุงููู ุงูุง ุนุงูุฒ ุงูุตูููููุง ูุนูู ุจู
ู
ูู ุงุญูู ู
ุซูุง
101
00:07:47,980 --> 00:07:53,020
.. ุทุจ ูู ู
ุด .. ู
ุด ููู ูุช .. ูุชุงูู in 64 ุนุดุงู ุชููู
102
00:07:53,020 --> 00:07:58,920
ุงู calculations ู
ุงููุงุ ุชููู ุงูุญุณุงุจุงุช ู
ุงููุงุ ุณููุฉุ
103
00:07:58,920 --> 00:08:04,660
ุงุฐุง ุงูุง ุงุดู ุฌูุงุจุtrue ุฅุฐุงู ุชูุงุชุฉ ุงู answer is a
104
00:08:04,660 --> 00:08:09,860
ูุงุถุญ ุงูููุฑุฉ ุฅุฐุง ุงูู
ุซูุฉ ุจูุญูููู ุญู ู
ุณุชูุงุช X bar
105
00:08:09,860 --> 00:08:16,160
ุฃูุจุฑ ู
ู 71 ุญูุชูุง ุจ steps ุตุบูุฑุฉ ุทูุนุช ุฌูุงุจ ุชูุฑูุจุง ุจ
106
00:08:16,160 --> 00:08:20,500
0.00 ูุจุฏู ูุงุญุฏุฉ ู
ููู
ุชุนุทููู ููุณ ุงูุณุคุงู ุจุณ ุชุทูุน
107
00:08:20,500 --> 00:08:25,280
ุงูุฌูุงุจ ุบูุท ูุนูู ุบูุฑ ุงูู
ุซูุฉequal one ู
ู
ูู
108
00:08:25,280 --> 00:08:29,260
approximately ู
ุซูุง ุงู equal one ุงู ุทุจุนุง ูุฃ ูู ุงู
109
00:08:29,260 --> 00:08:32,740
equal one ูุฐู ูุฃูู ู
ู ุณุชุฉ equal one ุงู ูุฃูู ูุฃูู
110
00:08:32,740 --> 00:08:37,340
ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู
111
00:08:37,340 --> 00:08:39,760
ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู
112
00:08:39,760 --> 00:08:42,420
ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู
113
00:08:42,420 --> 00:08:43,500
ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู ูุฃูู
114
00:08:43,500 --> 00:08:50,320
ูุฃูู ูุฃูู ูุฃูู ูุฃูู
115
00:08:50,320 --> 00:08:51,120
ูุฃู
116
00:08:54,130 --> 00:09:01,890
ุฎูุตูุง ุชูุงุชุฉ ุงููุ ู
ุธุจูุท ูููุ ุงูู ุงูุชูุงุชุฉ ุงููุ ุฑูู
117
00:09:01,890 --> 00:09:10,550
ุงุฑุจุนุฉ The
118
00:09:10,550 --> 00:09:15,110
distribution of the number of loaves of bread sold
119
00:09:15,110 --> 00:09:19,590
per week by large bakery over the past five years
120
00:09:19,590 --> 00:09:28,670
has a mean of7750 ูุงู ุงูู
ูู ูุตูุฉ
121
00:09:28,670 --> 00:09:32,830
ุงูุดู
ุณ 1450
122
00:09:32,830 --> 00:09:39,370
ู
ูุฉ ูุฎู
ุณุฉ ูุงุฑุจุนูู ุงุฐุง
123
00:09:39,370 --> 00:09:44,830
ูุงูุช ู
ุฌุฑุฏ ู
ุฌุฑุฏ ู
ุฌุฑุฏ ู
ุฌุฑุฏ ู
ุฌุฑุฏ ู
ุฌุฑุฏHas been
124
00:09:44,830 --> 00:09:48,810
selected what's the approximate probability that
125
00:09:48,810 --> 00:09:52,230
the mean number of loaves sold in the same brief
126
00:09:52,230 --> 00:09:59,350
sealed ูู ุจุญูู ุฃูุด ุงู mean ุฎูู ุจุงูู is an x bar
127
00:09:59,350 --> 00:10:04,930
ุฃูุจุฑ ู
ู seven thousand eight hundred ninety five
128
00:10:04,930 --> 00:10:08,430
ุจุฏูุง ุงู mean ุฅูุด ุจูุณุงูู ููุณ ุงูุณุคุงู ุฏู ุจุงูุธุจุท
129
00:10:08,430 --> 00:10:09,370
ุญุงูููุง ูู z
130
00:10:14,740 --> 00:10:26,540
minus ุงู mean ุนูู ุงู sigma over 40 ุจุชุญูููุง ู
131
00:10:26,540 --> 00:10:29,560
ุจุชุชุฃูุฏ ู
ู ุงูุฌูุงุจ ุงู ูู ุฌูุฉ ุฏู ููุช ูููุง ู
ุด ููู ููุณู
132
00:10:29,560 --> 00:10:35,860
ุชููุฑู ุนุดุงู ุถููุฉ ู ุจูุญูู ุงูุฌูุงุจ ูุนู
ุจุชูุนุจ ุตุญูุญ ุงุฐุง
133
00:10:35,860 --> 00:10:39,660
ุนุงูุฒู ุงู base ุจุณ ุช check this result ุจุชุฃูุฏ ู
ููุง
134
00:10:39,660 --> 00:10:43,970
ุจุชุฃูุฏ ุงูุญู ุตุญ ููุง ูุฃุฅุฐุง ูุงุถุญ ููุณ ุงู secret ุงูุณุคุงู
135
00:10:43,970 --> 00:10:54,490
ุชูุงุชุฉ ู
ุงุดู ุจุณ ุฃูุฑุง ุฎู
ุณุฉ ุฎู
ุณุฉ major league baseball
136
00:10:54,490 --> 00:11:04,530
salaries average 3.26 ู
ูููู ุจูุชููู
ุนูู ู
ููุ ุจูุชููู
137
00:11:04,530 --> 00:11:08,230
ุนูู ุฑูุงุชุจ ุชุจุนูู ุงู .. ุงู baseball ุงุฐุง ุฏูู ุฑูุงุชุจูู
138
00:11:08,230 --> 00:11:12,450
ุถุฎู
ุฉูุนูู ูู ุฃุชุนูู
ูุนุจุฉ ุฒู ููู ู ููุณ ุงู statistics
139
00:11:12,450 --> 00:11:17,510
ูุงู ุฃุญุณู ู
ุธุจูุทุ ูู ุจูุญูู ุฑูุงุชุจ ูุฏูุดุ 3.26 ู
ูููู
140
00:11:17,510 --> 00:11:22,150
with standard deviation of 1.2 suppose a sum of
141
00:11:22,150 --> 00:11:27,230
hundred funds approximate ููุณ ุงููุตุฉุ ุฅุฐุง ุงูุฎู
ุณุฉ
142
00:11:27,230 --> 00:11:34,850
similar ูุงุถุญุ ุฎู
ุณุฉ ุฒู ู ุชุดุฌุน ูุถุงูู ููุช ูุฎู
ุณุฉ ุฌูุงุจ
143
00:11:34,850 --> 00:11:36,250
ุฏูุ six
144
00:11:39,150 --> 00:11:43,870
ุฎู
ุณุฉ ู ุณุชุฉ ู
ุซููุง
145
00:11:43,870 --> 00:11:48,490
ุฎู
ุณุฉ
146
00:11:48,490 --> 00:11:52,790
ู ุณุชุฉ ู
ุซููุง ุฎู
ุณุฉ ู ุณุชุฉ ู
ุซููุง
147
00:12:08,580 --> 00:12:12,940
At a computer manufacturing company ุจุชููู
ุนูู ุดุฑูุฉ
148
00:12:12,940 --> 00:12:17,200
ุตูุงุนุฉ ุงูุญูุงุตูู The actual size of computer chips
149
00:12:17,200 --> 00:12:21,440
is normally distributed of a mean with a mean of
150
00:12:21,440 --> 00:12:29,060
one centimeter ุงู mean ูุงุญุฏ and standard deviation
151
00:12:29,060 --> 00:12:34,380
of point one a random sample of twelve
152
00:12:37,080 --> 00:12:41,500
in equal twelve ููุญุธุฉ ูุญูู ูู ุงูุฃุตู ุนูุฏู ุชูุฒูุน
153
00:12:41,500 --> 00:12:44,620
ุทุจูุนู ู
ุด ููู ุนูุดุงู ูุฏู ุงูุช normal ูุฃู ุงู in is
154
00:12:44,620 --> 00:12:47,840
small in this case to solve the problem we have to
155
00:12:47,840 --> 00:12:50,280
assume the population is normal otherwise you
156
00:12:50,280 --> 00:12:56,180
can't continue because we in chapter seven we are
157
00:12:56,180 --> 00:13:00,510
talking about if in is large enoughthen the sample
158
00:13:00,510 --> 00:13:03,590
sizes doesn't matter ู
ุด ู
ุดููุฉ ุญุฌู
ุงูุนููุฉ ููู ูู
ุง
159
00:13:03,590 --> 00:13:07,810
ุชููู n ุตุบูุฑุฉ ุงู sample size ุจูููู ู
ูู
ุฅุฐุง ุงูุญูุงูุฉ
160
00:13:07,810 --> 00:13:12,010
ุชุญูููู ุทุจูุนู ุจุชุฑูุญู n equal to twelve ู ุจุตุฏุฑ
161
00:13:12,010 --> 00:13:15,970
ุจุฑูุงู
ุฌ ุงู ุงู sample mean will be below ุงู mean
162
00:13:15,970 --> 00:13:22,150
will be below 9.95 ุจููุณ
163
00:13:22,150 --> 00:13:27,830
ุงูููุฑุฉ ูุนูู ูุฐุง ุงูุญุงูุฉ ุชุจูู ุจุญุงูู ูุฒููููู
minus
164
00:13:27,830 --> 00:13:33,030
ูุงุญุฏ minus ูุงุญุฏ ูุนูู ุงู sigma over square root of
165
00:13:33,030 --> 00:13:37,530
twelve ููุณ ุงูููุฑุฉ ุงููู ูุงุชุช ูู ุงูุณุคุงู ุงูุณุงุจุน
166
00:13:37,530 --> 00:13:42,250
ุงูุฌูุงุจ ุชุจุนู ุณุงูุจ ูุงูุจููุช ุงููู ูุณุงู
ุญููุ ู
ูู ุญูุช
167
00:13:42,250 --> 00:13:46,710
ุณุงูุจุ ุณุงูุจุ ูุงูุช ุนุฒุงุฌุฉุ ู
ุด ุฏูุฑุงุจููุฉ ุณุงูุจุ ุงูุช
168
00:13:46,710 --> 00:13:55,610
ุนุฒุงุฌุฉุ ุงู ุงู ุงู ุงูุฃูุง ู
ุงุจุญูู ุฌูุงุจุด ุจุณุงูุฉ ูููุงุ ูุฏู
169
00:13:55,610 --> 00:14:02,150
ุฃูู ู
ู ุงูุณูุฉ ุชูุฑูุจุง zero ุงูุง ุณุคุงู ุงูุดุ zero ุงุฑุจุน
170
00:14:02,150 --> 00:14:07,950
ูุงุญุฏ ุชูุฑูุจุง ููู ุดูู ุฏุงูู
ุง ุงู probability positive
171
00:14:07,950 --> 00:14:09,930
between zero and one ูุนูู ูู ุงูุง ุจุญู ู
ุซูุง ุทูุนุช
172
00:14:09,930 --> 00:14:13,250
negative ู
ุซูุง ุงููู ุฌุงุจุช ุบูุท ูู ุทูุนุช ุงูุชุฑ ู
ู ูุงุญุฏ
173
00:14:13,250 --> 00:14:16,330
ุงููู ุฌุงุจุช ุจุฑุถู ุบูุท ูุงุฒู
ุชููู between zero and one
174
00:14:16,330 --> 00:14:17,810
ุณุคุงู ุชู
ุงููุฉ
175
00:14:25,260 --> 00:14:28,980
ุงูุชู
ุงููุฉ ุจูุญูู the owner of a fish market has an
176
00:14:28,980 --> 00:14:36,420
assistant ุจูุญูู owner ู fish market ุตุงุญุจ ู
ุญู ูุจูุน
177
00:14:36,420 --> 00:14:41,980
ุงูุฃุณู
ุงู has assistant who has determined that the
178
00:14:41,980 --> 00:14:45,620
weights of catfish are normally distributed with a
179
00:14:45,620 --> 00:14:47,240
mean of 3.2
180
00:14:50,800 --> 00:14:57,880
mean of 3.2 pound and standard deviation of 0.8 if
181
00:14:57,880 --> 00:15:02,340
a sample of 64 fish yields ุงุชุฏุงูู ุงู sample size
182
00:15:02,340 --> 00:15:08,060
64 fish yields a mean of 3.4 pound ูุฏูู ูุนุทู ู
ู
183
00:15:08,060 --> 00:15:14,720
ู
ูู ูุฏูู ูุนูู ุงู sample ู
ู ู
ูู ุชุจุนูู
3.4 ุฅุฐุง
184
00:15:14,720 --> 00:15:18,980
ุฃุฎุฏ sample of 64 fish yields a mean of 3.4 pound
185
00:15:20,720 --> 00:15:23,140
ุจุณุฃู what's the probability of obtaining a sample
186
00:15:23,140 --> 00:15:27,460
mean this large or largerุ ุฅูุด ุงุญุชู
ุงู ุฃุญุตู ุนูู
187
00:15:27,460 --> 00:15:31,920
sample mean ูุฐุง ุงูููู
ุฉ ุฃู ุฃูุจุฑ ู
ููุงุ ูุนูู X bar
188
00:15:31,920 --> 00:15:38,080
ู
ุงูู ุฃูุจุฑ ู
ููุงุ ูู ุฃู ุฃูุจุฑุ ุจุณุ ู ุงูุญู ุจูุตูุฑ ุดุบู
189
00:15:38,080 --> 00:15:47,300
ุนุงุฏูุ ูุธุจุทุ ููุฐุง ูุชุณุงูู P of Z ูุงู ุงู mean minus
190
00:15:48,460 --> 00:15:55,800
3.2 over sigma over square root of 64 ูุฐู
191
00:15:55,800 --> 00:15:59,880
ุงูcalculations ุนุงุฏุฉ ุณููุฉ ุทุจุนุง ูู ุงู .. ููุง ูู
192
00:15:59,880 --> 00:16:04,560
point 2 ู
ุด ููู ู ุงููู ุชุญุช ุดู ุณุงูู point 8 ุนูู 8
193
00:16:04,560 --> 00:16:15,900
ูุนูู ูุฐุง point 8 ุนูู 8 ูุนูู ูุนูู ุจูุตูุญุด .. ุงูุด
194
00:16:15,900 --> 00:16:22,240
ุจุงูุฌูุงุจ ุงุทูุน ููุงุpoint 8 ุน 8 ูุฏูุ
195
00:16:22,240 --> 00:16:29,400
ูุฃ ุจุถุญู ุจุณ point 8 ุน 8 ูุฃูู point 8 ุน 8 ูุนูู point
196
00:16:29,400 --> 00:16:33,320
1 ู
ู 10 ูุงุญุฏ ู
ู ุนุดุฑุฉ ุดูู ูุงู ุงูุฃุฎุทุงุฑ ู
ู
ูู ุชุฌุฑุฃ ูุฏู
197
00:16:33,320 --> 00:16:37,900
ูู ููุณู point 1 ุทุจุนุง point 8 ุน 8 ุทุจุนุง ุฃูู ู
ุง
198
00:16:37,900 --> 00:16:42,080
ุจุดูููุง ูููุง point 1 ู ูุฐุง ุบูุท ููุด ุชู
ุงููุฉ ู
ู ุนุดุฑุฉ ู
199
00:16:42,080 --> 00:16:45,080
ูุงุญุฏ ู
ู ุนุดุฑุฉ ูุฐุง ุชู
ุงููุฉ ู
ู ุนุดุฑุฉ ุน ุชู
ุงููุฉ ุฅูุด
200
00:16:45,080 --> 00:16:54,760
ุงูุฌูุงุจ point 1 point 11 ู
ู 10 ูุนูู ูุนูู ูุงุญุฏ
201
00:16:54,760 --> 00:16:57,840
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
202
00:16:57,840 --> 00:17:01,480
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
203
00:17:01,480 --> 00:17:01,480
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
204
00:17:01,480 --> 00:17:01,620
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
205
00:17:01,620 --> 00:17:01,660
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
206
00:17:01,660 --> 00:17:02,560
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
207
00:17:02,560 --> 00:17:02,960
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
208
00:17:02,960 --> 00:17:03,840
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
209
00:17:03,840 --> 00:17:04,960
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
210
00:17:04,960 --> 00:17:15,400
ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ ู
ู ุนุดุฑ ูุนูู ูุงุญุฏ
211
00:17:15,400 --> 00:17:21,650
ู
ู ุนุดุฑ ูุนููุฒู ุงูู ู
ู ุงุชููู ุนูุฏ ุงูุงุชููู ุงูุด ุฌูุงุจ
212
00:17:21,650 --> 00:17:29,870
ุจุทูุน ูุฐุง ุณุคุงู ุฑูู
ุชู
ุงููุฉ ุทูุน
213
00:17:29,870 --> 00:17:38,210
ุงู table ุนูุฏ ุงูุงุชููู ุชุณุนุฉ
214
00:17:38,210 --> 00:17:42,430
ุณุจุนุฉ ุณุจุนุฉ ุงุชููู ู
ุธุจูุท ุงุฐุง point nine seven seven
215
00:17:42,430 --> 00:17:47,080
twoone minus ูุนูู zero, two, two, eight ู
ุด ููุ
216
00:17:47,080 --> 00:17:51,200
ูุจุชุงูู ุฅูุด ุงูุฌูุงุจ ุชุจุนููุ ุฅุฐุง ุจูู is the correct
217
00:17:51,200 --> 00:17:55,980
answer ุดูู
218
00:17:55,980 --> 00:18:01,260
ุชุฃูุฏ ูู ุญุงุทุทุชูู ุฅุฌุงุจุงุช ุชูุงุชุฉ ุจุชููู ูุงุญุฏุฉ ู
ู
219
00:18:01,260 --> 00:18:05,360
ุงูุฃุฎุทุงุก ู
ู
ูู ุฃูุน ูููุง ููุง ูุนูู ุฃู ุญุงุฌุฉ ุบูุทุช ุงูุญุณุงุจ
220
00:18:05,360 --> 00:18:10,440
ููุทูุนูู ูุงุญุฏุฉ ู
ู ูุฏูู ูุงูุช ุฑูุฒู ุดููุฉ ุณุคุงู ุชุณุนุฉ
221
00:18:13,730 --> 00:18:17,990
true or false if the amount of gasoline purchased
222
00:18:17,990 --> 00:18:22,110
per car at large surface stations has a population
223
00:18:22,110 --> 00:18:28,090
of 15 gallons and population deviation of 4
224
00:18:28,090 --> 00:18:36,410
gallons then 99.73 of all cars
225
00:18:44,460 --> 00:18:49,240
ูุงูุจุฑุด is between 3 and 27 gallons ุงู ุจุฏูุง ูุญููุง
226
00:18:49,240 --> 00:18:55,660
ุงูุง ุจุฏู ุญุฏ ุญู ุงูุงุณุฆูุฉ ุจุชุฐูุฑูุง ุงู empirical rule ุงู
227
00:18:55,660 --> 00:19:01,660
empirical rule ูุงู ูุญูู ุงูุด ูุงู 689599.7 of the
228
00:19:01,660 --> 00:19:07,780
data will fall within ุงูุงุฎูุฑ within three standard
229
00:19:07,780 --> 00:19:12,020
deviation of the population mean ุจุณ ููุง ุฃูุง ุนูุฏู
230
00:19:12,020 --> 00:19:19,170
ุจุชููู
ุด ุนูู ุงู ..ุน ุงู X ุจุงุฑ ููุง ูุญูู ุงุญูุง ุงูุด ูู ุงู
231
00:19:19,170 --> 00:19:24,210
ู
ูู ู
ุงูุณ ุซุฑู ุณูุฌู
ุง ู ู
ูู ุจูุณ ุซุฑู ุณูุฌู
ุงุ ู
ุธุจูุทุ ุจุณ
232
00:19:24,210 --> 00:19:30,010
ุฏู ู
ุด ุณูุฌู
ุง ุงูุนุงุฏูุฉุ ุจุญูู ุน ุงู X ุจุงุฑ ุงููู
233
00:19:30,010 --> 00:19:32,370
ุงูุช ูุงุญุธุด ุจูุญูู ูู ุงู probability of obtaining
234
00:19:32,370 --> 00:19:36,790
sample mean ุงู ุตุบูุฑ then 997 of all cars will
235
00:19:36,790 --> 00:19:44,280
purchase between 3 27ูููุง ุงุนุทุงูู ุงูุดุ ูุงู ุงูุฎู
ุณุชุงุด
236
00:19:44,280 --> 00:19:49,500
ูุฐูู ู
ูู ุชุจุนูู
ุงุฐุง ุนูุฏู ุงู
ุง ุงุญูุง ุจุฏู ุงุญููุง ู
ูู
237
00:19:49,500 --> 00:19:53,200
ู
ุงูู ุซุฑู ุณูุฌู
ุง ู
ูู ุจูุงุณุชุฑู ุณูุฌู
ุง ุฎูููู ุงุจุฏุฃ
238
00:19:53,200 --> 00:20:01,440
ุจุงูุชุงูู ูุนูู ุงูู
ูู ุงูุด ุจูุณุงููุ ุงูู
ูู ุฎูุงุดุ ูุฏูุ
239
00:20:01,440 --> 00:20:05,800
ุฎูููู ุงุญู ุนูู ูุฐุง ุงูู
ูู ูุฏุงุดุ ููุต ุชูุงุชุฉ ูู ุฃุฑุจุนุฉ
240
00:20:05,800 --> 00:20:10,510
ู
ุด ูููุ ูุฎู
ุณุชุงุด ุฒู ุชูุงุชุฉ ูู ุฃุฑุจุนุฉู
ุด ุจุทูุน ุงูุฌูุงุจ
241
00:20:10,510 --> 00:20:15,870
ููุง ุชูุงุชุฉ ุงู ููุง ุงุฐุง
242
00:20:15,870 --> 00:20:19,250
ุจุทูุน ู
ู ููุง ุงูู ุงููุ ู
ู ุงูุชูุงุชุฉ ูุบุงูุฉ ุงูุณุงุจุนุฉ
243
00:20:19,250 --> 00:20:25,570
ูุนุดุฑูู ุณุจุนูู ู
ู
ูู ูุฐู ูุญูููุง ุนูู ุงู probability
244
00:20:25,570 --> 00:20:27,150
ุงูุนุงุฏูุฉ ุงู ู
ู
ูู ุชุญูููุง ุนูู ุงู probability ุงูุนุงุฏูุฉ
245
00:20:27,150 --> 00:20:34,530
ุงูุฌูุงุจ ุทูุน ุนูู ูุฐู ููุง ูุงูุฌูุงุจ ูุฏูุ ุชูุงุชุฉ ูุณุจุนุฉ
246
00:20:34,530 --> 00:20:40,130
ูุนุดุฑูู ูุฐุง ุงูุณุคุงู ูุฏูุ ุณุคุงู ุชุณุนุฉ ุชุณุนุฉูู ุทูุนุช ุนูู
247
00:20:40,130 --> 00:20:43,670
ุงููุชุงุจ ุจูุญูููู ุฌูุงุจ false ุทูุจ ูู ุจูุทูุน ููุณ ุงูุฌูุงุจ
248
00:20:43,670 --> 00:20:48,550
ู
ุน ูุฏู ุงูููุงู
ู
ุด ุตุญ ุงููู ุฃูุง ุนู
ูุชู ููุดุ ูู ุจูุชููู
ุด
249
00:20:48,550 --> 00:20:51,490
ุนูู ุงู .. ุนูู ุงู except ููุงู
ุนูู ุงู except
250
00:20:51,490 --> 00:20:56,750
ูุจุงูุชุงูู ุฅูุด ูุชุตูุฑุ ุบูุท ูุฐุง ุบูุท ูุฐุง ุงูุทุฑููุฉ ู
ุด ุตุญ
251
00:20:56,750 --> 00:21:01,710
ุงู ูุนูู ุงุญูุง ุงูุตุญูุญ ุงูู ูุงู ูุทูุน ุงู .. ุงู sigma x
252
00:21:01,710 --> 00:21:06,130
ู
ุงุฑูุด ุจุงูุณุงููุฉ ุงู ุทุจุนุง ุตุญ ุงูุง ุทุจุนุง ุทุจุนุง ุงูุง ุทุจุนุง
253
00:21:06,130 --> 00:21:12,000
ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุงุงูุงู ู
ุด ู
ุชุณุงูู ูู ุงูู
ุซูุฉ ุงูุงู
254
00:21:12,000 --> 00:21:18,700
ุฎูุงุต ูู ูู ุงู ู
ูุฌูุฏุ ูุง ู
ุงุนุฑู ุงููุฏ ู
ุด ููุฏุฑ ุงุญู ูุฐู
255
00:21:18,700 --> 00:21:22,700
ุทูุจ ุฅุฐุง ุงูู
ุนูู ูุฏู ุงูููุงู
ุงููู ุญูุงููู ุตุญ ููุง ุบูุทุ
256
00:21:22,700 --> 00:21:26,600
ุบูุท ูู ุจุชูุฏุฑ ุงูุช ุงูุขู ุชุญูู ุงูู
ุซูุฉ ุจุงูููุงููู
257
00:21:26,600 --> 00:21:31,900
ุงูุนุงุฏูุฉุ ูุง ู
ุณุชุญูู ู
ุด ููุฏุฑ ุงุญู ูุฐู ุงูููุงู
ุ ุฃู
258
00:21:31,900 --> 00:21:37,640
probabilityุ
259
00:21:39,170 --> 00:21:46,670
ุงููู ุฃูุง ุจุชุทูุน ุงู probability ูู
ููุ ูู X ูุนููุ
260
00:21:46,670 --> 00:21:55,890
ุตุญ ุทูุนูู ุฃู ุตุญ ููุฑุง ู
ุด ููุฑุง ุบูุท ุฅุฐุง ุงูุฌูุงุจ ุบูุท ูุฅู
261
00:21:55,890 --> 00:21:58,390
ุงูุทูุงู ูู ูุชุงุจุชุงู ูุนู
ู ูุนูู ุจูุตูุฑ ุงู probability
262
00:21:58,390 --> 00:22:06,330
ุชูุงุชุฉ ุฃูู ู
ู X ุฃูู ู
ู 27 ุจูุตูุฑ ุชูุงุชุฉ ููุต ูู
ููุ
263
00:22:08,550 --> 00:22:11,910
ุนูู ุงูู Sigma ูุฐุง ุงูุดุ ุฎููู ุจุงูู ูู ุงููู ุจูุญูู ..
264
00:22:11,910 --> 00:22:18,950
ุงูุฌูุงุจ ุจุชุทูุน point 993 Sigma ุดู ุชุณุงููุ ุฃุฑุจุนุฉ ุฃูู
265
00:22:18,950 --> 00:22:24,830
ู
ู Z ุฃูู ู
ู 27 ููุต ู
ู 16 ูุฐูู
266
00:22:24,830 --> 00:22:33,930
ุณุงูุจ ุชูุชุฉ ู
ุด ูููุ ู
ุงุดู ุนูู ุฃุฑุจุนุฉ ู ุงููู ููุงุ
267
00:22:33,930 --> 00:22:40,210
ุจูู ุงูุณุงูุจ ุชูุชุฉ ู ุงูู
ูุฌูุฏ ุชูุชุฉ ุฌุฏุงุดุูู ุงูุช ุนู
ูุชููุง
268
00:22:40,210 --> 00:22:43,890
ููุทูุน point nine nine seven three ุจุณ ู
ุด ูุฐุง
269
00:22:43,890 --> 00:22:48,950
ุงูู
ุทููุจ ุงูู
ุทููุจ ูุชููู
ุนูู ู
ููุ ุนูู ุงู population
270
00:22:48,950 --> 00:22:52,910
ู
ููุ ุนูู ุงู X bar ุนูู ุงู ู
ููู
ุฉ ุนูู ุงู X bar ุชุชุณุงู
ู
271
00:22:52,910 --> 00:22:58,790
ู
ููุ ุจุงูุชุงูู ุฌูุงุจ ุฎุทุฃ ุฎุทุฃ ููุดุ ูุฃู ุงูุญู ููุง ูู X
272
00:22:58,790 --> 00:23:04,870
value ููู ูุฑู ุจูู ุญูู ุงู X ู X bar ุฅุฐุง ุงู answer
273
00:23:04,870 --> 00:23:10,580
is B ุทุจ ุนุดุฑุฉูุฑุงุกุฉ ุนูู ุงูุชุงููุฉ ุฃุฎุฑ ูุงุญุฏุฉ
274
00:23:31,610 --> 00:23:39,610
ุทุฑู ููุณ ุงูู
ุซูุฉ ููุณ ุงูู
ุซูุฉ ูุจูุญูู
275
00:23:39,610 --> 00:23:47,970
there is approximately 68 random samples of 16
276
00:23:47,970 --> 00:23:52,540
cars ูุญุธุฉ ุงูู
ุซูุฉ ู
ุด ุญูุงูุฉุนูุฏู
ุง ุดุฑูุช ูุชุงุจ ู
ูู ูุชุงุจ
277
00:23:52,540 --> 00:23:57,580
ุจุณุงู
ุจุงูู
ูู ู ุจุณุงู
ุจุงูู
ููุ ุชุญุช ุงู X bar ุชุญุช ุงู X
278
00:23:57,580 --> 00:23:59,440
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
279
00:23:59,440 --> 00:23:59,740
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
280
00:23:59,740 --> 00:24:01,040
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
281
00:24:01,040 --> 00:24:03,280
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
282
00:24:03,280 --> 00:24:06,400
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
283
00:24:06,400 --> 00:24:06,420
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
284
00:24:06,420 --> 00:24:08,300
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X
285
00:24:08,300 --> 00:24:11,280
barุ ุฃู ุชุญุช ุงู X barุ ุฃู ุชุญุช ุงู X barุ ุฃ
286
00:24:19,720 --> 00:24:23,460
ุจุนุฏูู ุจูุญูู ุน ุงู six eight ุงููู ูู ุงู standard
287
00:24:23,460 --> 00:24:30,360
deviation ูุงุญุฏ ู
ุด ููู ุงุญูุง ูููุง ุงู six eight nine
288
00:24:30,360 --> 00:24:35,320
five nine one seven ูุฐุง one sigma ููุง two sigma ู
289
00:24:35,320 --> 00:24:39,580
ูุฐุง three sigma between
290
00:24:39,580 --> 00:24:43,620
ุงุฑุจุนุฉ ุนุดุฑ ู ุณุช ุนุดุฑ ุงู sample mean ุงุฑุจุนุฉ ุนุดุฑ ูุบุงูุฉ
291
00:24:43,620 --> 00:24:50,390
ุณุช ุนุดุฑ ุงูุด ุฑุฃูููุง ูู ุงูู
ุซู ูุฐุงุู
ุงุฐุง ุฑุฃูู ูุง ุณูุงู
ุ
292
00:24:50,390 --> 00:24:55,230
random sum ูุจูู ูู
ูุงุฑ ุนูุฏูุ 16 ุฅุฐุง ุงูุฃู ุจูุณุงูู 16
293
00:24:55,230 --> 00:25:00,030
ู
ุด ููู ุฅุฐุง ุฅุนุทุงูู ุงูุฃู ุงูุชุงุณุน ุจูุฏุฑ ุงูุง ุฃุญุณุจ ู
ููุ
294
00:25:00,030 --> 00:25:10,070
ุณูุฌู
ุง X bar ุฅูุด ุจุชุณุงููุ ุงูุณูุฌู
ุง ูุฏุงุดุ ุนูู 16 ุทูุน
295
00:25:10,070 --> 00:25:15,260
ุณูุฌู
ุง X bar ุจูู 4 ุนูู 16 square root ุจุทูุน ุจ1ุฃู ุฒู
296
00:25:15,260 --> 00:25:18,960
ู
ุง ุญููุช ูู ู
ุธุจูุท ุฅุฐุง ุงูุญุงู ุชุจูู ูุงูู
ุจุณ ุจูููู ูู
297
00:25:18,960 --> 00:25:22,440
ุงุณุชูุธู ูุงุดู ุฅุฐุง ุงูู mu minus one sigma x bar
298
00:25:22,440 --> 00:25:27,300
ุจุชููู
ูุง ุงู x bar ู
ุด ูู ู
ุฑุฉ ุชุงููุฉ there is
299
00:25:27,300 --> 00:25:31,180
approximately 68 chance that random sample of 16
300
00:25:31,180 --> 00:25:34,540
cars will have mean sample mean ุฃูุชูุด ุญููุง
301
00:25:34,540 --> 00:25:39,180
ุจุงูุทุฑููุฉ ุงูุนุงุฏูุฉ ุจุฏู ุฃุญููุง ุจุงู empirical ruleุฅุฐุง
302
00:25:39,180 --> 00:25:43,300
ู
ูู minus X bar ู ู
ูู plus ู
ููุ Sigma X barุ
303
00:25:43,300 --> 00:25:51,080
ู
ุธุจูุทุ ูู
ูู ูุฏุงุดุ ุฎู
ุณุฉ ุนุงุดุ ูุงุญุฏ Sigma X bar ุจูุงุญุฏ
304
00:25:51,080 --> 00:25:58,400
ูุงูุชุงููุฉุ ุฎู
ุณุฉ ุนุงุดุ ุฅูุด ุงูุฌูุงุจ ุจุทููุ ุฅุฐุง ููุงู
ู
305
00:25:58,400 --> 00:26:03,300
ู
ุงููุ ููุงู
ุตุญ ูู ู
ุงุดุชุบูุชูุด ุนูู ุงู rule ุงููู ุฃูุง
306
00:26:03,300 --> 00:26:08,750
ุญููุชู ุจุชุญูู ุนุงุฏู ููู ุฃุญูู ุนุงุฏูุ ุฒู ุงูุทุฑููุฉ ูุฐูุฅูุด
307
00:26:08,750 --> 00:26:14,870
ูุตูุฑ ุงูู
ุซุงูุฉุ ูู ุจุฏุฃ ุฃุญู ุงูุทุฑููุฉ ุงูุนุงุฏูุฉ ุชุดูู ุฃูุช
308
00:26:14,870 --> 00:26:20,510
ุบุงูุจุง ู
ุด ูุชุชุฐูุฑ ุงู empirical roleุ ู
ุธุจูุทุ ูุจุฏุฃ ุฃุญู
309
00:26:20,510 --> 00:26:24,490
ุจุงูุทุฑููุฉ ุงูุนุงุฏูุฉ ุงููู ูู ุฅูุด ุงู probability
310
00:26:24,490 --> 00:26:28,350
between
311
00:26:28,350 --> 00:26:34,470
14 ู 16 ูู expertุ ู
ุธุจูุทุ ุจุฏุฃ ุฃุดูู ุงูุฌูุงุจ ูู
312
00:26:34,470 --> 00:26:39,680
ุฃุนุทุงูู yeah0.6826 ู
ุด ููู ุจูุชุฃูุฏ ู
ู ุงูุฅุฌุงุจุฉ ุงููู
313
00:26:39,680 --> 00:26:46,160
ููุง ุฅูุด ุชุนู
ููุง ุชุญููููุง ูุฒู ุฅูุด ุจุชุตูุฑ ูู 14 ููุต 15
314
00:26:46,160 --> 00:26:52,560
Sigma X bar ุฃูุง already ุญุณุจุชูุง ูุงุญุฏ ุฃูู ู
ู Z ุฃูู
315
00:26:52,560 --> 00:26:57,000
ู
ู 16 minus 15 ุนูู 1 ู
ุด ููู ู
ุด ููู ูุชุณุงูู negative
316
00:26:57,000 --> 00:27:02,090
oneูุฃู ูุตูุช ูู Z between minus one and plus one ูู
317
00:27:02,090 --> 00:27:05,990
ุฑุฌุนุช ุฅูู ุงู empirical rule ูู .. ู
ู ุบูุฑ .. ู
ู ุบูุฑ
318
00:27:05,990 --> 00:27:08,050
ุงู table .. ุฃูุง ุจุชุญูู ู
ู ุบูุฑ ุงู table ูู ุฑุฌุนุช ุฅูู
319
00:27:08,050 --> 00:27:11,970
ุงู empirical rule ูุงู ูุญูู 68% of the data will
320
00:27:11,970 --> 00:27:16,590
fall below one standard deviation of the
321
00:27:16,590 --> 00:27:21,550
population mean ู
ูููุง .. ู
ูููุง ุงู Z ุจุงูุณูุจ one and
322
00:27:21,550 --> 00:27:27,250
plus one ูุฐู ุงู area 68.23% ู
ู ุบูุฑ ุงู tableูู ุจุฏู
323
00:27:27,250 --> 00:27:31,550
ุงุณุชุฎุฏู
ุงู table ูุฐู ู
ุด ูุชุณุงูู z less than one
324
00:27:31,550 --> 00:27:36,710
ู
ุธุจูุท minus z less than negative one ูู ุชุทูุน ุนูู
325
00:27:36,710 --> 00:27:41,970
ุงู table ุนูุฏ ุงููุงุญุฏ ุนูุฏ ุงููุงุญุฏ ุชู
ุงููุฉ ุฃุฑุจุนุฉ ูุงุญุฏุฉ
326
00:27:41,970 --> 00:27:49,390
ุชูุงุชุฉ minus minus ุดูููุง ูุนูุง less than one ูููู
327
00:27:49,390 --> 00:27:53,070
ูุฐู ูููุง less than negative one ูุงุญุฏ minus ูุฐู
328
00:27:53,990 --> 00:27:56,850
ู
ุธุจูุทุ ุงููู ูู ูู ุทูุนุช ุงู table ุชูุนุจ point one
329
00:27:56,850 --> 00:28:00,410
five eight seven ู
ุด ููู ุงู ูู ุทูุนุช ุนูู ุงู negative
330
00:28:00,410 --> 00:28:04,510
table ูุงุฎุฏู ููุณ ุงูุงุฌุงุจุฉ ูู ุทูุนุช ุงููุฑู ู
ุง ุจูู ูุฏูู
331
00:28:04,510 --> 00:28:10,170
ู
ุคูุฏ ุงูุฌูุงุจ ุงููู ูู ูููู point six twenty six
332
00:28:10,170 --> 00:28:18,110
ุทุฑููุฉ ู
ูู ูุณู ุทุจ ุฃุนู
ู ูู ุงูุดุบู ูุฐุง ู ุนูุดุงู ุงู
333
00:28:18,110 --> 00:28:22,890
empirical law ุงู empirical law ุงููุงุถุญ ุดูู ุงููุงูู
334
00:28:22,890 --> 00:28:28,390
Probabilities ุฃูุง ุญุงูุธูู
68959917
335
00:28:28,390 --> 00:28:33,090
ุงุดุชุบู ุนูููุง ุจุณ ุจุชููู ู
ุฑูุฒ ูู ูู ูู X ููุง ูู X bar
336
00:28:33,090 --> 00:28:37,590
ุงููุงููู ู
ุงุชุบูุฑุด ุงููุงููู ุงุดูุงู ุนุจุงุฑุฉ ุนู ู
ูู ุงูู Mu
337
00:28:37,590 --> 00:28:43,210
minus Sigma ู
ุธุจูุท ุงูู Mu plus Sigma ู
ุด ูููุ ุงุฐุง ูู
338
00:28:43,210 --> 00:28:45,630
ูู X ูุนูู ุงู values ููุณูุง ุจุชููู ู
ูู ูู X ู Sigma
339
00:28:45,630 --> 00:28:50,370
ูู X ู
ุด ูููุ ููุฐุง ู
ุชุณุงูู ูุฏู ูุง ุนุดุงู 68
340
00:28:53,040 --> 00:28:57,540
ุทุจ ูู ุญุงุฌุฉ ุฒู ููู ุงู sample mean ุจุตู ููุณูุง ุจุงูุธุจุท
341
00:28:57,540 --> 00:29:06,280
ุจุณ ุงุฎุชูุงู ููุด ูู ุญู
ูุฉ just replace this x by x bar
342
00:29:06,280 --> 00:29:13,480
ุจุณ ูู ุงููู ุจุนู
ูู ู ููุณ ุงููุณุจุฉ ุจุงูุชุฃููุฏ ุจุณ ุนูุฏู
343
00:29:13,480 --> 00:29:17,340
ู
ุดููุฉ ูุงุญุฏุฉ ุงูู ูุงุฒู
ุงุญุณุจ mean sigma x barุนุดุงู
344
00:29:17,340 --> 00:29:21,420
ุฃุญุณุจูุง ุงููุงููู sigma over square root of n ูู ุงูุฃู
345
00:29:21,420 --> 00:29:25,820
ู
ุด ู
ุนููู
ุฉ ู
ูุฏุฑุด ุฃูู
ู ุนุดุงู ุฐูู ุงูู
ุซู ุงููู ูุงุช
346
00:29:25,820 --> 00:29:30,980
ู
ูู
ูุชุด ูุฃูู ุงูุฃู ู
ุงูุงูุชุด ู
ูุฌูุฏุฉ ูุงุถุญุ ูุงุถุญ ูู ุฃู
347
00:29:30,980 --> 00:29:38,440
ุณุคุงูุ ุฎูุงุต ุฃูู ุนุดุฑ ุงูุณูุฉุ ูุงุถุญ
348
00:29:38,440 --> 00:29:41,620
ูุฏู ุจููุฑ ูู ุญุงู ู
ุซููุงุ ูุนู
ุฏู ูููู ุบุงุถุจ ุงูู
ุจุฏุฃ
349
00:29:41,620 --> 00:29:46,150
ูููุณ ููู
ู ูููุณ ูุงูู
ุจุฏุฃ ูู ุงูุญูุฎูุงุต .. ุฎูุงุต ุงู
350
00:29:46,150 --> 00:29:49,910
chapter 7 ูุงููู
351
00:29:49,910 --> 00:29:56,470
ู
ุด ุนุงุฑู ุทูุน ุนูููู
ุจุฏู
352
00:29:56,470 --> 00:30:04,470
11 ู 12ุ ูุงู 11 ู 12 ุจุฑุถู
353
00:30:04,470 --> 00:30:09,290
ุฎูููุง ููู
ู ููุณ ุงู scenario ุงููู ูุงุชุญ ุงู time spent
354
00:30:09,290 --> 00:30:14,660
studying by students in the weekfor the final exam
355
00:30:14,660 --> 00:30:16,540
follows normal distribution with standard
356
00:30:16,540 --> 00:30:23,760
deviation of 8 ุงุฐุง sigma 8 a random sample of 4
357
00:30:23,760 --> 00:30:33,720
students ุงู N is 4 ูุนูุฏู ุชูุฒูุน ุทุจูุนู ู
ุด ูุฏู was
358
00:30:33,720 --> 00:30:36,920
taken in order to estimate the mean study time for
359
00:30:36,920 --> 00:30:42,600
the population of all studentsูุนูู ุงุฎุฏ random
360
00:30:42,600 --> 00:30:45,220
sample ุจุงุฑุจุนุฉ ู ุงูุงุฑุจุนุฉ ูุฏูุฉ ุจูุนู
ู estimation
361
00:30:45,220 --> 00:30:50,040
ูู
ููุ ููู
ูู ุงูุตุงุฏุฑ ููู ุงู population ุจุญูู what's
362
00:30:50,040 --> 00:30:55,480
the probability that the sample mean ุงูุด ุงุญุชู
ุงู ุงู
363
00:30:55,480 --> 00:30:58,900
ุงู sample mean ู
ุง ูู exceed the population mean
364
00:30:58,900 --> 00:31:05,860
ุจุฒูุฏ ุนู ุงู population meanุฃูุจุฑ ู
ู ุงู population
365
00:31:05,860 --> 00:31:10,520
mean by more than two hours ููุฃ ููุชุจ ููู exceed
366
00:31:10,520 --> 00:31:16,340
ูุนููุด ุฃูุจุฑ ู
ู ู
ููุ ู
ู ุงู mean ู
ู ุงู mean ุจุฌุฏุงุดุ
367
00:31:16,340 --> 00:31:19,820
population ุจุงุชููู ุจุงุชููู ุจุณ ุงุชููู x bar ููุต ู
ูู
368
00:31:19,820 --> 00:31:25,580
ุฃูุจุฑ x bar ุฃูุจุฑ ู
ู ู
ูู plus ุงุชููู ู
ุด ููู ูู ู
ุด
369
00:31:25,580 --> 00:31:29,140
ุจูุญูู ุงู sample mean exceed the population mean by
370
00:31:29,140 --> 00:31:32,600
more than two hours ุงู ูุนูู ูู ู
ุถุนู ุนูู ุงุชููู ูู
371
00:31:32,600 --> 00:31:39,980
ู
ุถุนู ุนูู ุงุชูููู
ุด ุงูู
ุดููุฉ ุงูุถู ูุฃ ุงู ูุงู
ู ูุนูู ูู
372
00:31:39,980 --> 00:31:45,360
ุจุฏู .. ุจุฏู ุงูุฌูุงุจ ุงููู ููุง ู
ุธุจูุท
373
00:31:45,360 --> 00:31:49,860
ุงูู
ู ุงูุญููุฉ ุงู ู
ุธุจูุท ูุนูู ุงู ู
ูู ุจุชุฑูุญ ู
ุน ุงูู
ูู
374
00:31:49,860 --> 00:31:58,660
ุญุงูู ูุฒู score ููู ุฒู ูุตูุฑ ุงู score ุจูุตูุฑ
375
00:31:58,660 --> 00:32:03,450
ุงู x bar minus ู
ููSigma over square root of n
376
00:32:03,450 --> 00:32:08,930
ู
ุธุจูุท ุฃูุจุฑ ู
ู ูุฃ ุฒู ู
ูู ุจูุณ ุงูุชูู ู
ูุฌูุฏุฉ minus ุงู
377
00:32:08,930 --> 00:32:12,050
ู
ูู minus ุงู ู
ูู ุจูุฑุญู ู
ุน ุจุนุถ ุนูู ุณูุฌู
ุง ุนูู square
378
00:32:12,050 --> 00:32:15,930
root of n ูู
ุด ุงูุณูุฌู
ุง ุชู
ุงููุฉ ุนูู ุงุชููู ุงู ุฌุฒุก ู
ู
379
00:32:15,930 --> 00:32:20,350
ุงูุฃุนูู ูุนูู ุฏู ูุชุณุงูู ุจ ุฃุฏ ุฒู ู
ุด ู
ุธุจูุท ุฒู ุงู ุงู
380
00:32:20,350 --> 00:32:25,210
ุงูู
ูู ุฑุงุญุช ุงุชููู ุชู
ุงููุฉ ุนูู ุงุชููู ุงุฑุจุนุฉ ุงุชููู ุนูู
381
00:32:25,210 --> 00:32:29,790
ุงุฑุจุนุฉ ูุต ุจุชุทูุน ููู ูุต ูุนูู ุนุงูุฒ ูุจูู ุจูุชูู ุฒู
382
00:32:29,790 --> 00:32:37,660
greater than point Fุจูุทูุญูุง ุนูุฏ 2 ุนูุฏ ุงููุต one
383
00:32:37,660 --> 00:32:42,900
minus ุฅูู
384
00:32:42,900 --> 00:32:48,060
ุนูุฏ ุงู point five ุงุชุทูุน ุชุชุงุจุน point six nine one
385
00:32:48,060 --> 00:32:53,840
five ุจุธุจุทุ ุฅุฐุง ุฃุฑุดุฏ ุฌูุงุจ point three zero eight
386
00:32:53,840 --> 00:33:00,680
five point ุฎูุงุต ูุงูุฌูุงุจ ูู ุงุชุทูุนุช check the answer
387
00:33:02,020 --> 00:33:07,960
ู
ุธุจูุท ุงูุฌูุงุจ ููุ ุงู ู
ุธุจูุท ุทุจ ุงูุญู
ุฏ ููู ูุนูู ู
ุนูู
388
00:33:07,960 --> 00:33:14,040
ุงูุณุคุงู ูุฐุง ู
ุนูู ุทูู ุงูู
ุนูู ุงูููุฑุฉ
389
00:33:14,040 --> 00:33:20,380
ุชุงุนุชู ูุงูุช ุชุงููุฉ ุงูููุฑุฉ ูู find the probability
390
00:33:20,380 --> 00:33:25,500
that the sample mean exceeds ุจุฒูุฏ ุนู ุงู population
391
00:33:25,500 --> 00:33:31,050
mean ุงููู ูู ุงู mu ุจุฒูุฏby 2 ูู ุญูู ุจูู ูุนูู ุฃูู ู
ู
392
00:33:31,050 --> 00:33:43,310
U plus 2 ูู ุฃูู ุฎูุงุต ุฃูู ู
ูู ุฎูุงุต ุฃูู 22ุ 23ุ
393
00:33:43,310 --> 00:33:49,370
23 ุฃูู 23ุ
394
00:33:49,370 --> 00:33:52,530
ุจุฑุถู
395
00:33:52,530 --> 00:33:58,210
ุงู sample meanis more than three hours below the
396
00:33:58,210 --> 00:34:02,850
population means ุฃูุชุจ
397
00:34:02,850 --> 00:34:07,950
ุจุญูู ููุง ุจูููู minus ููุฑุง ูููุณ is more ูู more
398
00:34:07,950 --> 00:34:14,910
than three hours below ููู ููุง ููู
399
00:34:14,910 --> 00:34:19,550
ูู
400
00:34:19,550 --> 00:34:26,410
ุจุญูู is more ูู more ู
ุธููู
more ูุฏุงุดุ three hours
401
00:34:26,410 --> 00:34:30,490
below ูุนูู ูู ุฃูู ู
ู ุงู mean ุจุชุงููุฉ ุงูุณุงุนุฉ ูุนูู
402
00:34:30,490 --> 00:34:36,470
ุงูุชุงููุฉ ูุนูู ุงูุชุงููุฉ ุงูุตุญ ุจุงูุชุฑุฌู
ุฉ ู
ุด ุญุฑููุฉ ู ุชูุชุจ
403
00:34:36,470 --> 00:34:41,030
more than three below three minus ูุฃ ูู ุจูู ุนูู ุงู
404
00:34:41,030 --> 00:34:45,810
mean ุงูุชูุงุชุฉ ูุนูู ุงู mean ูุงูุต ุชูุงุชุฉ ูุงุถุญุ ุฅุฐุง ูุฐู
405
00:34:45,810 --> 00:34:50,890
ูู ุฃูู
ููุง ู
ุด ุตุญู ูุชุจูู ุฃูู
ูุ ุฅุฐุง ุจุญูู ููู
ุดููุฉุ
406
00:34:50,890 --> 00:34:56,530
ูููุ- mu over sigma over root n ุญูููุง sigma over
407
00:34:56,530 --> 00:35:00,590
root n ูุฏูุด ุทูุนูุงูุง ููุง ุชู
ุงููุฉ ุฃุชููู ุฃุจูู ุฃุฑุจุนุฉ
408
00:35:00,590 --> 00:35:08,210
ุจุงูุณูุงุก ุจู ู ูู ุฒู ุฃูุจุฑ ู
ู negative ุชูุงุชุฉ ุนูู
409
00:35:08,210 --> 00:35:12,830
ุฃุฑุจุนุฉ ูุนูู negative point seven five ู
ุธุจูุท ูู ูุนูู
410
00:35:12,830 --> 00:35:17,310
ูุงุญุฏ minus ุฒู less than negative point seven five
411
00:35:17,310 --> 00:35:19,830
ุงูุงู seven five
412
00:35:22,540 --> 00:35:30,120
-0.75 2266
413
00:35:30,120 --> 00:35:36,640
ููู
414
00:35:36,640 --> 00:35:49,220
ุฑุงุญุช ุงูุฌูุงุจ ูุงูุต 7.5 under 5 ู
ุด ููู ุงูุฌูุงุจ
415
00:35:49,220 --> 00:35:51,000
2.266
416
00:35:56,910 --> 00:36:04,350
ูุฐุง ุงูุฌูุงุจู ูู ุงููุชุงุจ ู
ุด one minus ุทุจ ุฅูุด ุงูุณุจุจุ
417
00:36:04,350 --> 00:36:08,010
ุงูุฌูุงุจู ูู ุงููุชุงุจ point two two six six ูุนูู ุทุจุนุง
418
00:36:08,010 --> 00:36:17,910
one minus ูุญูู list ุฏูุ is more than ู ุฃูุง ุจุชุนู
ููุง
419
00:36:17,910 --> 00:36:22,820
ููู ุฒู ู
ุง ุฃูุง ุนุงูุฒูุนูู ุงูุด ุงูุบูุท ูู ุงูุญูุ ุงู ูุญุธุฉ
420
00:36:22,820 --> 00:36:28,460
ุดููุฉ ูุงู ุงู scenario ุงูุฃูู ู
ุดููุงุ ุทุจ
421
00:36:28,460 --> 00:36:35,160
ุงุฐุง ุนู
ูุช P of X bar ุฃูุจุฑ ู
ู ุชูุงุชุฉ ููุต ู
ูู ุฅูุด
422
00:36:35,160 --> 00:36:44,780
ูุชุตูุฑุ ุชูุงุชุฉ ููุต ู
ูู ููุต ู
ูู ู ุงู sigma ุนูู .. ุงู
423
00:36:44,780 --> 00:36:49,310
sigma ุงู ุชู
ุงููุฉ ุนูู ุงุชููู ุจุงุฑุจุนplus ูุฐู ู ุจุนุฏูู
424
00:36:49,310 --> 00:36:53,090
ูุฐู ุตุงุฑุช ุณุงูุจ ุงุชููู ู
ูู ุณุงูุจ ุงุชููู ู
ููุ ุชูุงุชุฉ ููุต
425
00:36:53,090 --> 00:36:56,670
ุงุชููู ู
ููุ ู
ู ุงูู ุงุฌูุจ ุงูู
ูู ุทูุจุ ุงูู
ูู ู
ุด ู
ุนุฑูู
426
00:36:56,670 --> 00:36:59,530
ู
ุด ู
ุนุฑููุ ูุฐุง ุงูุทุฑูู ุงุตูุง ุงุฐุง ูุฐุง ู
ุณุชุญูู ุชููู ุตุญ
427
00:37:01,330 --> 00:37:07,870
ูุฐู ููู ู
ุด ุตุญ ูุฃ ูู ุงูุณุคุงู ุงูุญุงูู ุตุญ ุจุณ ุงูุฌูุงุจ ููู
428
00:37:07,870 --> 00:37:11,710
ุงูุง ุงุดุชุบููุง ู
ุนุงู ู
ูู ููุตุฉ plus negative three
429
00:37:11,710 --> 00:37:16,490
ู
ุธุจูุท ููุง ุนูู negative point seven five ุฃูุจุฑ ู
ููุง
430
00:37:16,490 --> 00:37:22,810
ูุนูู ุฃูู ู
ู ุงู negative ู
ุธุจูุท ูุฐุง ุฃูุจุฑ ู
ู ุงูุฃูุจุฑ
431
00:37:22,810 --> 00:37:26,890
ู
ู ูู ุงูุฃูุจุฑ
432
00:37:26,890 --> 00:37:31,360
ู
ู negative ุฃููุฏ ุฃูุชุฑ ู
ู ูุต ุงูุฌูุงุจุงูุฌูุงุจ ูู point
433
00:37:31,360 --> 00:37:35,380
seven seven three four ุงูุฌูุงุจ ูู point seven seven
434
00:37:35,380 --> 00:37:35,380
three four ุงูุฌูุงุจ ูู point seven seven three four
435
00:37:35,380 --> 00:37:35,560
ุงูุฌูุงุจ ูู point seven seven three four ุงูุฌูุงุจ ูู
436
00:37:35,560 --> 00:37:36,480
point seven seven three four ุงูุฌูุงุจ ูู point seven
437
00:37:36,480 --> 00:37:39,300
seven three four ุงูุฌูุงุจ ูู point seven seven three
438
00:37:39,300 --> 00:37:41,160
four ุงูุฌูุงุจ ูู point seven seven three four ุงูุฌูุงุจ
439
00:37:41,160 --> 00:37:41,460
ูู point seven seven three four ุงูุฌูุงุจ ูู point
440
00:37:41,460 --> 00:37:41,540
seven seven three four ุงูุฌูุงุจ ูู point seven seven
441
00:37:41,540 --> 00:37:41,540
three four ุงูุฌูุงุจ ูู point seven seven three four
442
00:37:41,540 --> 00:37:41,540
ุงูุฌูุงุจ ูู point seven seven three four ุงูุฌูุงุจ ูู
443
00:37:41,540 --> 00:37:41,540
point seven seven three four ุงูุฌูุงุจ ูู point seven
444
00:37:41,540 --> 00:37:41,540
seven three four ุงูุฌูุงุจ ูู point seven seven three
445
00:37:41,540 --> 00:37:41,540
four ุงูุฌูุงุจ ูู point seven seven three four ุงูุฌูุงุจ
446
00:37:41,540 --> 00:37:41,540
ูู point seven seven three four ุงูุฌูุงุจ ูู point
447
00:37:41,540 --> 00:37:42,520
seven seven three four ุงูุฌูุงุจ ูู point seven seven
448
00:37:42,520 --> 00:37:43,260
three four ุงูุฌูุงุจ ูู point seven seven three four
449
00:37:43,260 --> 00:37:46,680
ุงูุฌูุงุจ
450
00:37:46,680 --> 00:37:49,920
ูู point seven seven three four ุงูุฌูุงุจ
451
00:37:59,090 --> 00:38:05,290
ุงูุฌูุงุจ ูุฏู 23 ุงูุฌูุงุจ ูู 0.7734 ุฅุฐุง
452
00:38:05,290 --> 00:38:08,530
ุงูููุฑุฉ ูุงูุช ูู ุนุงูุฒ ุงู sample mean ุงููู ูู ุงู expo
453
00:38:08,530 --> 00:38:14,410
ุฃูุจุฑ more than three hours below the population
454
00:38:14,410 --> 00:38:18,190
ุฏูุชูุฑ ุทุจ ุจููุนู ู
ุซูุง ูุฑุณู
ู ููุฐุง ูุฑุณู
ุงูุฃุดูุงุก ู ูุดูู
455
00:38:18,190 --> 00:38:23,010
ูุฏู ู
ุง ูุชูุตู ููุง ุฒููุง ููุฃ ูู ุจูุญูู ุฃูู ูุงู ุงู mean
456
00:38:23,010 --> 00:38:29,740
ุงู expo ุงุฑู
ุงููุงูุณู
ุจู ูุนูู ุฃูุจุฑ ู
ู ุซูุงุซ ุณุงุนุงุช ุงู
457
00:38:29,740 --> 00:38:35,600
population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population
458
00:38:35,600 --> 00:38:39,540
ูุนูู ุฃูู
459
00:38:39,540 --> 00:38:47,240
ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช
460
00:38:47,240 --> 00:38:48,460
ุงู population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population
461
00:38:48,460 --> 00:38:50,120
ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population ูุนูู ุฃูู ู
ู
462
00:38:50,120 --> 00:38:51,880
ุซูุงุซ ุณุงุนุงุช ุงู population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู
463
00:38:51,880 --> 00:38:52,700
population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population
464
00:38:52,700 --> 00:38:52,700
ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population ูุนูู ุฃูู ู
ู
465
00:38:52,700 --> 00:38:52,720
ุซูุงุซ ุณุงุนุงุช ุงู population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู
466
00:38:52,720 --> 00:38:52,720
population ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population
467
00:38:52,720 --> 00:38:52,720
ูุนูู ุฃูู ู
ู ุซูุงุซ ุณุงุนุงุช ุงู population ูุนูู ุฃูู ู
ู
468
00:38:52,720 --> 00:38:55,730
ุซูุงุซุจุณ ุฅูุด ุญูุงูุฉุ ูุฅู ูู ุนุงูุฒุฉ ุงูู
ูุทูุฉ ุฏู ุจุงูุธุจุท
469
00:38:55,730 --> 00:39:00,210
ููู ุฃู ู
ูุทูุฉุ ุงููู ููู ููุง ุงููู ููู ุฅุฐุง ุฎุฏุช ุนูููุง
470
00:39:00,210 --> 00:39:11,010
ุตุงุฑ ู
ุนูุงูุงุด ุฅู ุงู explore ุฃูู ูู ุฅูุด ุณุฃูุ is more
471
00:39:11,010 --> 00:39:16,890
three hours below ูุนูู ุชูุช .. ุชูุช ุณุงุนุงุช ุฃูู ู
ู
472
00:39:16,890 --> 00:39:21,940
ุงูู
ูุงุตุทุจ ูุงู
ูุฉ ูููุณุ ุฎุด ุชุดูู ุงูู
ูููู
ุทุจุนูุง ูู
473
00:39:21,940 --> 00:39:26,440
ูุฏุงู
ุช ูู ูุฏุงู
ุช ุดููุฉ ูู
ุง ุจูุฏู
ููุง ุจุณ ููุง ุฏู ู
ูู ููุต
474
00:39:26,440 --> 00:39:32,200
ูุฏูุดุ ููู .. ููู .. ู ููุง .. ููุต ูุงุญุฏ .. ููุต ูุงุญุฏ
475
00:39:32,200 --> 00:39:35,060
ู
ุธุจูุท .. ุงู ู ุจุนุฏูู ู
ูู .. ู ุจุนุฏุด ุงูู ููุต ูุงุญุฏุ
476
00:39:35,060 --> 00:39:41,400
ุจุนุฏูู ู
ูู .. ุทุจ ุฃูุง ุนุงูุฒ ููุดุ ุฃูุชุฑ ู
ู .. ุทุจ ุฃูุชุฑ
477
00:39:41,400 --> 00:39:44,680
ู
ู ุชุนุงูู ูุงุญูุฉ ุงูุชุงููุฉุ ุฅูุด ูุชุตูุฑุ ููุต ุฃุฑุจุนุฉ .. ู
478
00:39:44,680 --> 00:39:51,190
ููุฐุงุ ุฅุฐุง ุฃูุง ุนุงูุฒ ูููุูุนูู ุนุงูุฒ ูุงุฏ ุงูู
ูุทูุฉ ูุนูู
479
00:39:51,190 --> 00:39:54,510
ู
ุทููุจ probability of x minus less than u minus
480
00:39:54,510 --> 00:39:59,490
three ุจุงูุฑุบู
ุฃูู ุญูู more ุจุณ ุนุดุงู ุญูู three hours
481
00:39:59,490 --> 00:40:03,910
below ูู
ุนุฑุงุณู ู
ุจููุฉ ุฅุฐุง ู
ุง ุฃูุฏ ุงูุดุบู ููุง ุตุญ ุจุณ
482
00:40:03,910 --> 00:40:08,530
ุงููู ูุงุฏ ู
ุงููุง ุฃูู ู
ูู ุฅุฐุง ู
ุง ุฃูุฏ ูุงุฏ ุนู
ููุง
483
00:40:08,530 --> 00:40:14,780
replaceูุง ูููุง ูุนูู ุงูุฑุณู
ูุง ุฏูุชูุฑ ูู ุงููู ุจูุจูู
484
00:40:14,780 --> 00:40:20,620
ุทุจุนุงุ ุงู
ุชุงุฒุฉ ุงูุฑุณู
ูู ุงููู ุจูุจูู ููู ุงูุฌูุงูุจ ุจุญุซ
485
00:40:20,620 --> 00:40:24,140
ููุฑุฉ ุงูู
ุซูุฉ ุงูุขู ูู ู
ุดูุช ุจุงูุทุฑููุฉ ุงูุนุงุฏูุฉ ู
ู ุบูุฑ
486
00:40:24,140 --> 00:40:28,400
ู
ุฑุณูู
more than three hours ูู ุฌุงู above the mean
487
00:40:28,400 --> 00:40:33,180
ุฎูุงุต above the mean ูุนูู ููุง ููู ุชุตูุฑ ูู above the
488
00:40:33,180 --> 00:40:40,470
meanุ ุฑูุฒ ู
ุนุงูุ ูู ุงู meanูู ุญูู more than three
489
00:40:40,470 --> 00:40:43,310
hours above the mean ูุงู above the mean ู
ุธุจูุท ูู
490
00:40:43,310 --> 00:40:47,530
ูู ู
ูู ุจูุณ ุชุฑู ุญูู more than three hours ููุด ุญุตูุฑ
491
00:40:47,530 --> 00:40:50,790
ู
ูู ุฒู ุงูุฃุฑุจุนุฉ ููุง ู
ุธุจูุท ูู
ุง ูุฏู ุงูู
ุณุงุญุฉ ุงูู ุนู
492
00:40:50,790 --> 00:40:55,570
ุงููู
ูู ููู ูู
ุง ุญูู ู
ูู ุงู ุงู sample mean is more
493
00:40:55,570 --> 00:41:00,550
than three hours belowูู
ุง ุจู
ุดู ูู ู
ูู ู
ุงูููุณ ุซูุงุซุ
494
00:41:00,550 --> 00:41:03,690
ุฅูุด ุจูููู ุนูู ุงูุดู
ุงูุ ุฃุฑุจุนุฉ ุฃู ุฎู
ุณุฉ ุฃู ุณุชุฉ ู ููุฐุง
495
00:41:03,690 --> 00:41:06,770
ู ุนูู ุงููู
ูู ู
ุงูููุณ ุงุชููู ู ู
ุงูููุณ ูุงุญุฏ ูุจุงูุชุงูู
496
00:41:06,770 --> 00:41:09,730
ุฃูุง ุนุงูุฒ ุฃูุงูุฑุง ูููุง land to the left ูููุง ุฏูุ
497
00:41:09,730 --> 00:41:16,470
ุฎูุงุตุ ุฅุฐุง ุฃุฎุฏูุง ุฏุงูู
ุง ุจุงูุนูุณุ ุฅุฐุง ุญูู below ู ุญูู
498
00:41:16,470 --> 00:41:21,290
more thanุ ุฅุฐุง ุญูู more ู ููุง belowุ ุฃุฎุฏูุง ุฃูู ุนูู
499
00:41:21,290 --> 00:41:26,640
ุทููุ ูู ุงูู
ุซู ุฅูุด ุญูู ุงูุฃููุงููุฉุ more ููุจุณ ุฅูุดุ
500
00:41:26,640 --> 00:41:30,960
why moreุ ูู ููุณ ุงู direction ุจุงุฎุฏ ุฃูุจุฑ ุนูู ุทูู ุจุณ
501
00:41:30,960 --> 00:41:33,880
ุชููููุง ูู ุฅุญูุง ุงูุชุจููุง ุฃุตูุง ูู ูุงุฏู more ุชุจุน ูุฅูู
502
00:41:33,880 --> 00:41:36,420
ุงููุฑู ุจูู ุงู mu ุชุจุน ุงู sample ู ุงู mu ุชุจุน ุงู
503
00:41:36,420 --> 00:41:39,100
population ู
ุงููุงุด ุฏุฎู ุจุงู probability ูุนูู ุจุญูููู
504
00:41:39,100 --> 00:41:42,200
ุฅุญุชู
ุงููุฉ ุฅู ุงู sample ู
ูู ูู ุงูุฃูุชุฑ ู
ู ุงู
505
00:41:42,200 --> 00:41:46,380
population ู
ููุ ุงู probability ูู ุทุงูุจ ุงู
506
00:41:46,380 --> 00:41:49,240
probability ูู sample ู
ููุ ุงู ูุนูู more ูุงุฏู more
507
00:41:49,240 --> 00:41:52,920
ู
ุงููุงุด ุฏุฎู ุจุงู probability ูุฃ ุฅูู ุฏุงุฎู ูููุ ุฅูู
508
00:41:52,920 --> 00:41:57,360
ุฃูุง ุนุงูุฒ ุงู sample ู
ููุูููู ุฃูุชุฑ ู
ู ุงู population
509
00:41:57,360 --> 00:42:03,640
mean ุจ 3 ุณุงุนุงุช ุจุณ below ูุนูู ู
ูู minus 3 minus 4
510
00:42:03,640 --> 00:42:06,140
minus 5 and so on
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