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1 |
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00:00:20,940 --> 00:00:25,780 |
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ุฅุฐุง ุงูุดุฑูุฉ ุชุฑุบุจ ูู ุงุฎุชุจุงุฑ ูุฐู ุงููุฑุถูุฉ ููููุง |
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2 |
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00:00:25,780 --> 00:00:31,040 |
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ุงุนุชุจุงุฑ ุฃู ุงูู
ุดุงุฑูุฉ ู
ุณุชุนู
ูุฉ ุจุดูู ุนุงู
ูุจุงูุชุงูู |
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3 |
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00:00:31,040 --> 00:00:37,080 |
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ูุณุชุทูุน ุงุณุชุฎุฏุงู
ุชุฌุงุฑุฉ ุงูู T ูุฃู ุงููุฑุถูุฉ ูู ุฃูู ู
ู |
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4 |
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00:00:37,080 --> 00:00:42,460 |
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52 ุจูุฑู
ุงู ูุฐุง ู
ุง ูุฑูุฏู ุฃู ููุนู ุทุจุนุงู ุงููุฑุถูุฉ |
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5 |
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00:00:42,460 --> 00:00:45,100 |
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ู
ูุชูุจุฉ 152 ุฃู ุฃูู ู
ู 152 |
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6 |
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00:00:48,850 --> 00:00:52,790 |
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ุงูุขู ุจุญูู suppose alpha is 10% ูุนูู ุงูู alpha is given |
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7 |
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00:00:52,790 --> 00:01:02,070 |
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to be 10% ู ุงูู sample size 25 ูุนูู ุฃุชุงูู ุงูู sample |
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8 |
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00:01:02,070 --> 00:01:06,510 |
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size 25 ุจูุฏููุง ูุญู ุงูุณุคุงู ููุทูุน ุงูู rejection |
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9 |
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00:01:06,510 --> 00:01:12,630 |
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region ูุฐุง ุจุญูู ุนูู one tailed test ุชุจุชุฏุฆ |
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10 |
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00:01:12,630 --> 00:01:15,650 |
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ุงูููุงู
ุนูู ุงูู upper tail ููุฐู ุงูููุทุฉ ุงููู ููุง ูุงุฒู
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11 |
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00:01:15,650 --> 00:01:20,310 |
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ุฃุทูุนูุง ู
ู ุฃููุ ู
ู ุงูู table ููุฐู ุงูู critical value |
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12 |
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00:01:20,310 --> 00:01:29,530 |
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ุฃุณู
ููุง T D F ู ุงูู Alpha ููู ุชูุชุจ ุทุจุนุงู |
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13 |
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00:01:29,530 --> 00:01:36,010 |
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degrees of freedom N equals 25 ุจุงูุชุงูู ุงูู minus |
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14 |
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00:01:36,010 --> 00:01:48,850 |
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one it gives 24 24 ู 10% ูุจูุชุญ ุฌุฏูู ุงูู T-test ุจูุนู
ู |
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15 |
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00:01:48,850 --> 00:02:07,610 |
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ูู 24 degrees of freedom |
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16 |
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00:02:07,610 --> 00:02:13,490 |
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ูุฃููุง 24 ู under 10% |
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17 |
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00:02:13,490 --> 00:02:16,210 |
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18 |
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00:02:20,300 --> 00:02:29,840 |
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ูุงูู critical value 1.318 ุซู
ูููู ุฅุฐุง ูุงูุช ุงูู test statistic ุชุณูุท ูู ุงูู
ูุทูุฉ ุงูุญุฑุฌุฉ |
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19 |
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00:02:29,840 --> 00:02:33,820 |
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ุงูุชู ุฃูุจุฑ ู
ู 1. |
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20 |
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00:02:33,820 --> 00:02:39,460 |
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318 ููููู ุฅุฐุง |
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21 |
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00:02:39,460 --> 00:02:44,720 |
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ูุงูุช ุงูู test statistic ุฃูุจุฑ ู
ู 1.318 ูู
ุงุฐุง ุฃูุจุฑ ู
ูุ ูุฃููุง |
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22 |
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00:02:44,720 --> 00:02:52,800 |
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ูุฌุฑุจ ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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23 |
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00:02:52,800 --> 00:02:55,980 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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24 |
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00:02:55,980 --> 00:02:57,160 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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25 |
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00:02:57,160 --> 00:03:00,320 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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26 |
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00:03:00,320 --> 00:03:04,700 |
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ู
ู ุฃูุจุฑ |
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27 |
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00:03:04,700 --> 00:03:05,960 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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28 |
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00:03:05,960 --> 00:03:07,680 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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29 |
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00:03:07,680 --> 00:03:08,460 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
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30 |
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00:03:08,460 --> 00:03:14,320 |
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ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฅุฐุง ูุงูุช ุงูู test statistic ุฃูุจุฑ ู
ู 1.318. |
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31 |
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00:03:14,640 --> 00:03:17,920 |
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ุงูุขู ูุฌุจ ุฃู ูููู
ุจู
ูุงุฑูุฉ ููู
ุฉ ุงููุฑุถูุฉ. |
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32 |
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00:03:18,920 --> 00:03:22,440 |
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ูุฐูู ูู ูุฐู ุงูุญุงูุฉ ูุฌุจ ุฃู ูุญุตู ุนูู ู
ุฌู
ูุนุฉ ููููู
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33 |
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00:03:22,440 --> 00:03:30,660 |
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ุจู
ูุงุฑูุฉ ููู
ุฉ X ูููู
ุฉ X. ููู
ุฉ X. ู
ูุงุฑูุฉ |
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34 |
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00:03:30,660 --> 00:03:31,680 |
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X.ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X |
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35 |
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00:03:31,680 --> 00:03:39,440 |
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.ููู
ุฉ X. ููู
ุฉ X |
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36 |
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00:03:39,440 --> 00:03:39,640 |
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.ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X |
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37 |
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00:03:39,640 --> 00:03:41,510 |
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.ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X. ููู
ุฉ X. ุฅุฐุง ูุฐู |
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38 |
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00:03:41,510 --> 00:03:45,510 |
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ุงูู X bar ู ุงูู S are given both for the sample |
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39 |
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00:03:45,510 --> 00:03:50,710 |
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Now it's easy to compute the test statistic by |
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40 |
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00:03:50,710 --> 00:03:56,670 |
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using the formula we know X bar minus mu |
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41 |
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00:03:56,670 --> 00:04:02,710 |
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over S over root N So X bar minus the mean S over |
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42 |
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00:04:02,710 --> 00:04:05,950 |
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square root of N Now straightforward calculations |
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43 |
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00:04:05,950 --> 00:04:14,270 |
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you can get the result of X bar 53 ุงูุขู ฮผ |
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44 |
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00:04:14,270 --> 00:04:25,690 |
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ุฃูุซุฑ ู
ู 52 ฯ ูู 10 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n |
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45 |
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00:04:25,690 --> 00:04:27,390 |
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ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n |
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46 |
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00:04:27,390 --> 00:04:27,590 |
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ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n |
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47 |
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00:04:27,590 --> 00:04:28,710 |
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ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n |
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48 |
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00:04:28,710 --> 00:04:28,750 |
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ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n |
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49 |
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00:04:28,750 --> 00:04:30,190 |
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ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 n |
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50 |
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00:04:30,190 --> 00:04:38,950 |
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ุนู
ุฑู 25 n ุนู
ุฑู 25 n ุนู
ุฑู 25 |
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51 |
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00:04:40,020 --> 00:04:46,260 |
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ุงูุขู ูุฌุจ ุฃู ุชูุงุฑู ููู
ุฉ ุงูู T ู
ุน ุงูู
ูุทูุฉ |
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52 |
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00:04:46,260 --> 00:04:52,000 |
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ุงูุญุฑุฌุฉ ุงูุขู ุงูุณุคุงู ูู ูู ูุฐู ุงูููู
ุฉ ู
ูุฌูุฏุฉ ูู |
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53 |
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00:04:52,000 --> 00:04:55,400 |
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ุงูู
ูุทูุฉ ุงูุญุฑุฌุฉุ |
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54 |
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00:04:55,400 --> 00:05:03,080 |
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ูุงุถุญ ุฃู ุงูู 0.55 ู
ูุฌูุฏุฉ ูู ุงูู
ูุทูุฉ ุงูุญุฑุฌุฉ ุจุงููุณุจุฉ |
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55 |
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00:05:03,080 --> 00:05:07,240 |
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ููุฐุง ุงูุณุจุจุ ูุง ููุจู ุงููุฑุถูุฉ ุงูุตูุฑูุฉ ุฅุฐุง ูู
ุฃุฑูุถูุง |
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56 |
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00:05:07,240 --> 00:05:11,520 |
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ูุฐุง ู
ุนูุงู ู
ุงุฐุงุ ุงูู Managerial Conclusionุ ูุง ููุฌุฏ |
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57 |
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00:05:11,520 --> 00:05:16,880 |
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ุฏููู ูุงูู ูุฅุธูุงุฑ ุฃู ู
ูุงู ุงูู True Mean ูู ุฃูุซุฑ |
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58 |
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00:05:16,880 --> 00:05:17,380 |
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ู
ู 52 |
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59 |
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00:05:24,570 --> 00:05:28,010 |
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ูู ุณุคุงู ูุงุถุญ ููุณ ุงูููุฑุฉ ุงููู ุญูููุงูุง ุงู
ุจุงุฑุญ ููู |
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60 |
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00:05:28,010 --> 00:05:31,970 |
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ุงูุงุฎุชูุงู ุจุณ ุจุฏู ู
ุง ูุงูุช two-tailed ุงูุขู ูุงูุช one |
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61 |
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00:05:31,970 --> 00:05:35,990 |
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-tailed the other side on the other hand we can |
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62 |
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00:05:35,990 --> 00:05:40,750 |
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compute the p-value because we mentioned yesterday |
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63 |
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00:05:40,750 --> 00:05:44,110 |
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there are two ways or two approaches for |
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64 |
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00:05:44,110 --> 00:05:47,730 |
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conducting the test one is called a critical value |
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65 |
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00:05:47,730 --> 00:05:50,590 |
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approach this is a critical value and the other |
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66 |
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00:05:50,590 --> 00:05:55,780 |
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one is called p-value approach ุจุงููุฑุถ T-table ุชุนุทู |
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67 |
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00:05:55,780 --> 00:06:03,440 |
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ูุชูุฌุฉ ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
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68 |
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00:06:03,440 --> 00:06:05,520 |
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ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
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69 |
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00:06:05,520 --> 00:06:10,300 |
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ูุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
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70 |
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00:06:10,300 --> 00:06:10,840 |
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ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
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71 |
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00:06:10,840 --> 00:06:13,400 |
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ูุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
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72 |
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00:06:13,400 --> 00:06:17,000 |
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ูุชุฌุงุฑุจ ุจููู
ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจููู
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73 |
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00:06:17,000 --> 00:06:18,000 |
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ุชูุฑูุจูุฉ ููุชุฌุงุฑุจ ุจ |
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74 |
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00:06:23,400 --> 00:06:27,840 |
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Probability of T greater than ... ุงูุนููุงู ููุง ูู |
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75 |
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00:06:27,840 --> 00:06:34,300 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ |
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76 |
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00:06:34,300 --> 00:06:36,280 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ |
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77 |
|
00:06:36,280 --> 00:06:39,640 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ |
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78 |
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00:06:39,640 --> 00:06:40,860 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ |
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79 |
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00:06:40,860 --> 00:06:41,700 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ |
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80 |
|
00:06:41,700 --> 00:06:44,640 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ |
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81 |
|
00:06:44,640 --> 00:06:49,220 |
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ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ููุณ ููู
ุชุฌุงุฑุจ ุงูุชุฌุงุฑุจ ูู |
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82 |
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00:06:50,380 --> 00:06:56,180 |
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ูุจุฃุฎุฐ ุนูุฏ ุงูู 0.55 ูุฐู ู
ูู
ุฉ ุฌุฏุงู ูุนูู ุฃูุจุฑ ู
ู |
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83 |
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00:06:56,180 --> 00:06:58,520 |
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ุงูู 0.55 ู
ุด ุฃูุจุฑ ู
ู ุงูู 1.31 |
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84 |
|
00:06:58,520 --> 00:07:01,860 |
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8 ู
ุด ุนูุงูุฉ ุจูุฐู ูุนูู ุจุดูู ุงูุด ุงุญุชู
ุงู ุชููู ุงูู |
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85 |
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00:07:01,860 --> 00:07:04,640 |
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test statistic ุฃูุจุฑ ู
ู ุงูู test value ุงููู ูู 0. |
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86 |
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00:07:04,640 --> 00:07:09,500 |
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55 now in this case just backward |
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87 |
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00:07:09,500 --> 00:07:13,500 |
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calculation this is my t table again we have to |
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88 |
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00:07:13,500 --> 00:07:18,600 |
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look at degrees of freedom 24 and search |
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89 |
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00:07:19,520 --> 00:07:24,540 |
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for the value of 0.55 ุฃุฏูุฑ ุนูู ุงูููู
ุฉ 0.55 ู
ู |
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90 |
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00:07:24,540 --> 00:07:28,900 |
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ููุง for sure the table will not give all values so |
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91 |
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00:07:28,900 --> 00:07:34,440 |
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we are looking for the closest value of 0.55 |
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92 |
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00:07:34,440 --> 00:07:38,860 |
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ูุนูู ุจุฏูุฑ ุนูุดุงู ุฃูุฑุจ ููู
ุฉ ุจู
ุดู ุนูู ุงูู 24 ูู ุนูุฏ 0. |
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93 |
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00:07:38,860 --> 00:07:46,570 |
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685 ุจุนุฏูู ุจุฒูุฏ ู
ุธุจูุท ู
ุน ูุฏู ุฃูุฑุจ ููู
ุฉ ู
ู ูุชููู ูู |
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94 |
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00:07:46,570 --> 00:07:49,670 |
|
ูุฐู ูุงุถุญุฉ ุฅุฐุง ู
ุง ููุด ุนูุฏู ุญุงุฌุฉ ุงุณู
ูุง 0.5 |
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95 |
|
00:07:49,670 --> 00:07:54,170 |
|
5 ุจุฃุฎุฐ ู
ุงุฐุงุ ุฃูุฑุจ ููู
ุฉ ููุง 0.685 |
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96 |
|
00:07:54,170 --> 00:07:58,010 |
|
ุฅุฐุง ู
ุงูู ุฏู ุงูุฌูุงุจ ูุชุทูุน ู
ุนุงู ุชูุฑูุจุงู ู
ุด exact |
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97 |
|
00:07:58,010 --> 00:08:05,490 |
|
result ุงูุด ุจุชุณุงููุ 0.25 ู
ู ูุฐูุ ุฅุฐุง 0.2 |
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98 |
|
00:08:05,490 --> 00:08:12,190 |
|
5 ุทุจ ู
ู ูุฌูุฉ ูุธุฑู ูู ุฃูุจุฑ ู
ู 0.25 |
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99 |
|
00:08:12,190 --> 00:08:21,360 |
|
ููุง ุฃููุ ูุญุธุฉ ูุฃูุง ู
ุงุดู ููู ุงูู P-value ู
ุงููุง ููู |
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100 |
|
00:08:21,360 --> 00:08:25,040 |
|
ููู ุชูุจุฑ ... ุชูุจุฑ ... 0.25, 0.20, 0.15, |
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101 |
|
00:08:25,040 --> 00:08:28,900 |
|
0.10, ุจุชุตุบุฑ ุทูุจ ุฃูุง ุฃููู
ุงููู ุฃูุง ุนุงูุฒูุงุ ู
ุงุดู ุนูู |
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|
102 |
|
00:08:28,900 --> 00:08:32,900 |
|
ุงููู
ูู ููุง ุฌุงู ุนูู ุงูุดู
ุงูุ ุฌุงู ููู ุงูู 0.55 |
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103 |
|
00:08:32,900 --> 00:08:40,660 |
|
ููุงุ ู
ุธุจูุทุ ู
ุน ูุฏู ุงูู P-value ุชุจุนุช ููุง ูุนูู ุงูู |
|
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|
104 |
|
00:08:40,660 --> 00:08:43,660 |
|
result ุตุญ ุญูุงูู ุงูู 0.25, ุจูููู ุฅููุง ู
ุงููุง |
|
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|
105 |
|
00:08:45,230 --> 00:08:51,630 |
|
ุฃููุฏ ุฃูุจุฑ ู
ู 25% either way if you just mention |
|
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|
106 |
|
00:08:51,630 --> 00:08:55,630 |
|
it's approximately 0.25 or greater than 0.25 you |
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107 |
|
00:08:55,630 --> 00:08:58,850 |
|
have to compare this P-value with ฮฑ now ฮฑ |
|
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|
108 |
|
00:08:58,850 --> 00:09:03,390 |
|
is given to be 10% is your P-value greater than |
|
|
|
109 |
|
00:09:03,390 --> 00:09:11,390 |
|
ฮฑ in other words is 0.25 ูู ู
ูุฏู ุฃูุจุฑ ู
ู 0.10 |
|
|
|
110 |
|
00:09:14,120 --> 00:09:21,480 |
|
ุจุงููู ุนู ุฌุฏ 25% ุฃูุจุฑ ููุง ุฃุตุบุฑ ู
ู 0.10 ูุฏ |
|
|
|
111 |
|
00:09:21,480 --> 00:09:26,180 |
|
ุฃูุจุฑ ููุง ุฃุตุบุฑุ ูุฏ ูุฏู ู
ุฑุชูู ููุตู ุชูุฑูุจุงู ุฃูุจุฑ ู
ุธุจูุท |
|
|
|
112 |
|
00:09:26,180 --> 00:09:29,380 |
|
ุทุจ ูู
ุง ุชููู ุฃูุจุฑ we reject ููุง don't rejectุ don't |
|
|
|
113 |
|
00:09:29,380 --> 00:09:34,740 |
|
reject ู
ุน ูุฏู ู
ุง ุทูุนุชุด ุจููุณ ุงูู conclusion ุงูุฃูู ุฅุฐุง |
|
|
|
114 |
|
00:09:34,740 --> 00:09:38,590 |
|
ุงูู both cases we don't reject on the hypothesis ุฅุฐุง |
|
|
|
115 |
|
00:09:38,590 --> 00:09:43,370 |
|
ุงูู 0.25 ูู ุฃูุซุฑ ู
ู 10% ูุฐูู ูุง ููุจู ุฃูุถุงู ุงูู null |
|
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|
116 |
|
00:09:43,370 --> 00:09:48,850 |
|
hypothesis ูุฐุง ูุนูู ุฃูู ูุง ููุฌุฏ ุฏููู ูุงูู ูุฅุฏุงุฑุฉ |
|
|
|
117 |
|
00:09:48,850 --> 00:09:52,630 |
|
ุงูู alternative hypothesis ุงูุชู ุชุดูุฑ ุฅูู ุฃู ุงูุนู
ูู |
|
|
|
118 |
|
00:09:52,630 --> 00:10:00,670 |
|
ุงูู
ุณุชูุจูู ุฃูุซุฑ ู
ู ุฃู ุฃูุซุฑ ู
ู 52$ ุทุจุนุงู |
|
|
|
119 |
|
00:10:00,670 --> 00:10:05,310 |
|
ุงูุฅุฌุงุจุฉ ุงูุตุญูุญุฉ ุงูุชู ุฃุนุทุงูู ุฅูุงูุง ุงููุชุงุจ ููุง ูู 0.2937 ูุฐุง |
|
|
|
120 |
|
00:10:05,310 --> 00:10:10,320 |
|
ูู ุงููุชูุฌุฉ ุงูุตุญูุญุฉ ุทุจุนุงู ุงุญูุง ุทูุนูุง 0.25 ูุญูููุง |
|
|
|
121 |
|
00:10:10,320 --> 00:10:14,160 |
|
ุฃูุจุฑ ู
ู ุงูู 0.25 ูุญูููุง ุชูุฑูุจุงู ุญุงููุง ู
ุงุดูุฉ ุนูู ููุณ |
|
|
|
122 |
|
00:10:14,160 --> 00:10:21,300 |
|
ุงููุซููุฉ ูุฐุง ูุงู ุจุงููุณุจุฉ ููุฌุฒุก ุงููู ุชุจูู ุงู
ุจุงุฑุญ ูู |
|
|
|
123 |
|
00:10:21,300 --> 00:10:27,300 |
|
ุฃู ุณุคุงูุ ุทุจ ู
ูุถูุน ุงูููู
ุ ู
ูุถูุน ุงูููู
ููุญูู ุนูู |
|
|
|
124 |
|
00:10:27,300 --> 00:10:31,580 |
|
ู
ูุถูุน ู
ูู
ุงููู ูู hypothesis test for proportions |
|
|
|
125 |
|
00:10:34,990 --> 00:10:39,710 |
|
ุฎูุงุต ูุจุฏุฃ ู
ูุถูุน ุฌุฏูุฏ I put this test for in |
|
|
|
126 |
|
00:10:39,710 --> 00:10:43,410 |
|
proportions ูุนุทููู ููุฑุฉ ุนูู ุงูู
ูุถูุน ุงููู ูุงุช |
|
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|
127 |
|
00:10:43,410 --> 00:10:47,830 |
|
ูู
ูุถูุน ุงูููู
ุงูููุฑุฉ ุงููู ุฃุฎุฏูุงูุง ูุงูุช ูุณุชุฎุฏู
ููุงู
|
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|
128 |
|
00:10:47,830 --> 00:10:53,630 |
|
ุนูู numerical values ุฒู phone bills ุฒู ุงูู wages ุฒู |
|
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|
129 |
|
00:10:53,630 --> 00:10:59,970 |
|
ุงูู ages ุฒู ุงูู weights and so on so we focus on |
|
|
|
130 |
|
00:10:59,970 --> 00:11:03,260 |
|
population means ูุฐุง ุชููู
ูุง ุนูู ุงูู population mean |
|
|
|
131 |
|
00:11:03,260 --> 00:11:07,680 |
|
ูููุง ุจูุญูู ุนููู ุนูู data numeric ู
ุชุบูุฑุงุช ุฑูู
ูุฉ |
|
|
|
132 |
|
00:11:07,680 --> 00:11:13,560 |
|
ุงูููุน ุงูุซุงูู ู
ู ุงูู data ุงููู ูู ุจูุช ู
ุด ุฑูู
ูุฉ ู
ุณู
ู |
|
|
|
133 |
|
00:11:13,560 --> 00:11:17,020 |
|
qualitative data ูุงูู qualitative ู
ุง ูููุนุด ูุณุชุฎุฏู
ุงูู |
|
|
|
134 |
|
00:11:17,020 --> 00:11:21,180 |
|
mean ุฒู ู
ุง ุฃุฎุฏูุง ูู chapter 7 ุฃุฎุฏูุง sampling |
|
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|
135 |
|
00:11:21,180 --> 00:11:24,620 |
|
distribution ููู mean ู sampling distribution ููู |
|
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|
136 |
|
00:11:24,620 --> 00:11:29,900 |
|
mean ุฃุฎุฏูุง ุดุบูุชูู sampling ููู mean ู ุงูู mean |
|
|
|
137 |
|
00:11:29,900 --> 00:11:30,340 |
|
ุงูุซุงููุฉ |
|
|
|
138 |
|
00:11:35,000 --> 00:11:37,400 |
|
ุฃุฎุฐูุง ุงูู Sampling Distribution of the Sample Mean |
|
|
|
139 |
|
00:11:37,400 --> 00:11:41,500 |
|
ู ููู Proportion ุจุฑุถู ูุฃู ููุณ ุงูุฌุฒุก ุณูุงุฎุฏ ุงูู |
|
|
|
140 |
|
00:11:41,500 --> 00:11:46,280 |
|
Hypothesis Test for Proportions ุฅุฐุง ูุฐุง ุงูุฌุฒุก |
|
|
|
141 |
|
00:11:46,280 --> 00:11:48,860 |
|
ุงูุซุงูู ููุฎุชู
ู ุจู Chapter 9 |
|
|
|
142 |
|
00:12:19,140 --> 00:12:21,620 |
|
ุจุณ ูุชุดูู ุงููุชูุฌุฉ ู
ู ุนูุฏ ุงุจุญุซ ุนููุง |
|
|
|
143 |
|
00:12:47,410 --> 00:12:55,310 |
|
ุณูููู
ุจุงุฎุชุจุงุฑ ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช |
|
|
|
144 |
|
00:12:55,310 --> 00:13:01,630 |
|
ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช |
|
|
|
145 |
|
00:13:01,630 --> 00:13:04,830 |
|
ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช |
|
|
|
146 |
|
00:13:04,830 --> 00:13:05,430 |
|
ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช |
|
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147 |
|
00:13:05,430 --> 00:13:06,300 |
|
ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช ุงููุฑุถูุงุช ูุงุฎุชุจุงุฑุงุช |
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148 |
|
00:13:06,300 --> 00:13:11,080 |
|
ููุณู
ุงุช ุงูู
ุฌุชู
ุนูุฉ ูุงูุขุฎุฑ ูุณู
ุงุช ุงูู
ุฌุชู
ุนูุฉ |
|
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149 |
|
00:13:11,080 --> 00:13:17,680 |
|
ุจุงูู
ูุงุฑูุฉ ูุฌุจ ุฃู ุชูุฑุฑ ุจูู ุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ูุงุฎุชุจุงุฑุงุช |
|
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150 |
|
00:13:17,680 --> 00:13:18,200 |
|
ุงูุงุฎุชุจุงุฑุงุช ูุงูุงุฎุชุจุงุฑุงุช ูุงูุงุฎุชุจุงุฑุงุช ูุงูุงุฎุชุจุงุฑุงุช |
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151 |
|
00:13:18,200 --> 00:13:18,440 |
|
ูุงูุงุฎุชุจุงุฑุงุช ูุงูุงุฎุชุจุงุฑุงุช ูุงูุงุฎุชุจุงุฑุงุช |
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152 |
|
00:13:18,440 --> 00:13:33,500 |
|
ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช ุงูุงุฎุชุจุงุฑุงุช |
|
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153 |
|
00:13:34,820 --> 00:13:37,520 |
|
ููุนููุงุช ููู statistics ุฒู ุงูู sample mean ุฃู ุงูู |
|
|
|
154 |
|
00:13:37,520 --> 00:13:41,340 |
|
sample proportion ููู ูู
ุง ูุชููู
ุนู ุงูู testing ุฃู |
|
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155 |
|
00:13:41,340 --> 00:13:44,820 |
|
hypothesis testing ุจุชููู is about ุงูู population |
|
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156 |
|
00:13:44,820 --> 00:13:47,980 |
|
parameter ูุงุถุญุ ูุงููุฑู ุจูู ุงูุงุซููู ุงูู sampling |
|
|
|
157 |
|
00:13:47,980 --> 00:13:51,320 |
|
distribution ุจุชุชููู
ุนูู ุงูู sample statistic ููุง |
|
|
|
158 |
|
00:13:51,320 --> 00:13:54,160 |
|
ุจุชุชููู
ุนู ุงูู population parameters ูุฐู ุงููุฑู ุจูู |
|
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|
159 |
|
00:13:54,160 --> 00:13:59,630 |
|
ุงูุงุซููู ุงูู ... ุงูู proportion ู
ุน ูุฏู these problems |
|
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|
160 |
|
00:13:59,630 --> 00:14:03,210 |
|
involve categorical variables ูููู ุนูุฏู ุงูู
ุชุบูุฑุงุช |
|
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161 |
|
00:14:03,210 --> 00:14:07,550 |
|
ุบูุฑ ูู
ูุฉ ููุนูุฉ in this case there are two possible |
|
|
|
162 |
|
00:14:07,550 --> 00:14:12,870 |
|
outcomes ูู ุนูุฏู ูุชูุฌุชูู possess characteristic |
|
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|
163 |
|
00:14:12,870 --> 00:14:17,170 |
|
of interest or does not possess characteristic of |
|
|
|
164 |
|
00:14:17,170 --> 00:14:22,720 |
|
interest for example suppose ุฃุณุฃู ุณุคุงู ูู ุชูุถู ูุฐุง |
|
|
|
165 |
|
00:14:22,720 --> 00:14:28,420 |
|
ุงูููุน ู
ู ุงููููุฉุ ูุงูุฌูุงุจ ูู
ูู ุฃู ูููู ุฅู
ุง ูุนู
ุฃู |
|
|
|
166 |
|
00:14:28,420 --> 00:14:36,820 |
|
ูุงุ ูููุงู ุงุชูุงููู ุฅู
ุง ูุนู
ุฃู ูุง. ูุฌุงุญ ุฃู ุฎุณุงุฑุฉุ |
|
|
|
167 |
|
00:14:36,820 --> 00:14:40,840 |
|
ุงุชูู ุฃู ูุง ุฃุชูููุ ูุฐุง ุงูููุน ู
ู ุงูุณุคุงููู ูุนูู ุฃู |
|
|
|
168 |
|
00:14:40,840 --> 00:14:46,260 |
|
ููุงู ุงุชูุงููู ุฃู ูุง ุฃุชูููุ ูุชูุฌุชูู ูุงุญุฏุฉ ุฃูุง ู
ูุชู
|
|
|
|
169 |
|
00:14:46,260 --> 00:14:47,960 |
|
ุจูุง ุงููุฌุงุญ |
|
|
|
170 |
|
00:14:50,190 --> 00:14:56,950 |
|
Success or fail the exam fraction or proportion of |
|
|
|
171 |
|
00:14:56,950 --> 00:14:59,490 |
|
the population in the category of interest is |
|
|
|
172 |
|
00:14:59,490 --> 00:15:08,230 |
|
denoted by ฯ ูุฃุฎุฐ ฯ ุงูู population proportion |
|
|
|
173 |
|
00:15:08,230 --> 00:15:11,490 |
|
ุฒู ู
ุง ุฃุฎุฐูุง ูู Chapter 7 ฯ ูุงูุช population |
|
|
|
174 |
|
00:15:11,490 --> 00:15:15,110 |
|
proportion ุจุฑุถู ูุฃุฎุฐ ฯ ุนุจุงุฑุฉ ุนู population |
|
|
|
175 |
|
00:15:15,110 --> 00:15:20,800 |
|
proportion and in general this ฯ ู
ูุงุฑูุฉ ุจูู 0 ู1 |
|
|
|
176 |
|
00:15:20,800 --> 00:15:24,440 |
|
ู
ูุงุฑูุฉ ุจูู 0 ู1 ู
ูุงุฑูุฉ ุจูู 0 ู1 ู
ูุงุฑูุฉ ุจูู 0 ู1 |
|
|
|
177 |
|
00:15:24,440 --> 00:15:27,700 |
|
ู
ูุงุฑูุฉ |
|
|
|
178 |
|
00:15:27,700 --> 00:15:30,600 |
|
ุจูู 0 ู1 ู
ูุงุฑูุฉ ุจูู 0 ู |
|
|
|
216 |
|
00:18:14,510 --> 00:18:17,970 |
|
ุชุฑูุจููู
ู
ุด ุนูู ุจุนุถ ุทูุน ุงู mean ูู ุจู ุงููู ูู ุงู |
|
|
|
217 |
|
00:18:17,970 --> 00:18:21,790 |
|
ุจุงู ูุญุงููุง ูุทูุน ุงู sigma ูู ุจู ุงููู ูู ุงูููู
ุฉ ูุฐู |
|
|
|
218 |
|
00:18:21,790 --> 00:18:27,470 |
|
ูุจุนุฏูู ุฏุฎูููู
ูู ุจุนุถ ููู ุงูุณูุงูุฉ ุฅุฐุง ูุฐู |
|
|
|
219 |
|
00:18:27,470 --> 00:18:30,690 |
|
statistic ุจู minus ุจุงู over ุจุงู one minus ุจุงู over |
|
|
|
220 |
|
00:18:30,690 --> 00:18:35,030 |
|
n ุงู test |
|
|
|
221 |
|
00:18:37,630 --> 00:18:44,350 |
|
ูู 0 ุถุฏ ูู ูุงุญุฏ ููู ูุญุตู ุนูู ูุชูุฌุฉ ุฌูุฏุฉ ุฃู ูุชูุฌุฉ |
|
|
|
222 |
|
00:18:44,350 --> 00:18:48,530 |
|
ุตุญูุญุฉ ูุฌุจ ุฃู ูููููุง ุงูุงุซููู ุงููุงุถุญูู ู
ูููู
ูู ู ูู |
|
|
|
223 |
|
00:18:48,530 --> 00:18:53,530 |
|
ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู |
|
|
|
224 |
|
00:18:53,530 --> 00:19:00,270 |
|
ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 |
|
|
|
225 |
|
00:19:00,270 --> 00:19:00,390 |
|
ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู |
|
|
|
226 |
|
00:19:00,390 --> 00:19:00,830 |
|
ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู |
|
|
|
227 |
|
00:19:00,830 --> 00:19:01,270 |
|
ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 |
|
|
|
228 |
|
00:19:01,270 --> 00:19:03,550 |
|
ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู ุฃูู ู
ู 5 ูู ูู |
|
|
|
229 |
|
00:19:03,550 --> 00:19:04,390 |
|
ุฃูู ู
ู 5 ูู ูู |
|
|
|
230 |
|
00:19:07,810 --> 00:19:11,810 |
|
this case is not discussed in this chapter ูุนูู ูู |
|
|
|
231 |
|
00:19:11,810 --> 00:19:15,870 |
|
ูุงู ุงูุดุฑุท ูุนูู ู
ุด ู
ุชุญูููู ุญุชู ูุงุญุฏ ู
ููู
ู
ุด ููู
ู |
|
|
|
232 |
|
00:19:15,870 --> 00:19:21,230 |
|
ูุฃู ุงูุฌุฒุก ูุฐุง ู
ุด ู
ุดุฑูุน ูู ุงู class ุทุจุนุง ุฅุฐุง ุนุดุงู |
|
|
|
233 |
|
00:19:21,230 --> 00:19:23,690 |
|
ุฃุณุงุณ ุฃูุฏุฑ ูุนู
ู ุงู proceeding ููู
ุซูุฉ ูุงุฒู
ูููู |
|
|
|
234 |
|
00:19:23,690 --> 00:19:28,110 |
|
under two conditions ูุฏูู ู
ุง ููู
satisfied |
|
|
|
235 |
|
00:19:33,570 --> 00:19:38,790 |
|
ุงูู Z statistic ู
ู
ูู ุงูุชุจู ุจุดูู ุจุฏู ู
ูุชุจ B ู
ู
ูู |
|
|
|
236 |
|
00:19:38,790 --> 00:19:45,290 |
|
ุงูุชุจ X ุจุฏููุง ู
ุทูุน ุงู X ุนุจุงุฑุฉ ุนู ุงูุดุ ุงู X ุนุจุงุฑุฉ ุนู |
|
|
|
237 |
|
00:19:45,290 --> 00:19:52,890 |
|
ู
ููุ N times B ู
ุธุจูุทุ ูุนูู ุงู X ูุญุงููุง N times B |
|
|
|
238 |
|
00:19:52,890 --> 00:19:59,010 |
|
ู
ุนุงูุฏ ุฃูุง ูู ุงุฌูุช ุถุฑุจุช ูู ูุฏู N ุจุณุท ู
ูุงู
ุจุทูุน |
|
|
|
239 |
|
00:19:59,010 --> 00:20:07,830 |
|
ู
ุนุงุฏู ุงู form ูุญุงุฌุฉ ุฒู ูู X-NYยฒNY1-Y ูุฐู ูุฑุตุฉ ุฃุฎุฑู |
|
|
|
240 |
|
00:20:07,830 --> 00:20:17,890 |
|
ู
ุชุดุงุจูุฉ ููุฐุง ุงูู Z-score ุงููุง ุชุนุชู
ุฏ ุนูู X X-NYยฒNY1 |
|
|
|
241 |
|
00:20:17,890 --> 00:20:21,830 |
|
-Y ูุฐู ุงููุฑุตุชูู ู
ุชุดุงุจูุฉ ุจุดูู ููุณู ูุฐุง ูู
ููู |
|
|
|
242 |
|
00:20:21,830 --> 00:20:28,460 |
|
ุงุณุชุฎุฏุงู
ุงู B-Y ุนุจุฑ ูุฐุง ุงูุดุฎุต ูุญู ูุญุจ ุงุณุชุฎุฏุงู
ูุฐู |
|
|
|
243 |
|
00:20:28,460 --> 00:20:31,300 |
|
ุงูููุฑู
ููุฉ ุฃู ุจุฅู
ูุงูู ุงุณุชุฎุฏุงู
ุงูุณ ู
ุงููุณ ุงู ุจุงู ุนุจุฑ |
|
|
|
244 |
|
00:20:31,300 --> 00:20:35,760 |
|
ุงู ุจุงู ูุงุญุฏ ู
ุงููุณ ุจุงู ุงูุงุฎุชุตุงุฑุงุช ููุง ุงูุณ ุนูู ุงูุฃูู |
|
|
|
245 |
|
00:20:35,760 --> 00:20:42,760 |
|
ุฎู
ุณุฉ ูุงู ู
ุงููุณ ุงูุณ ุนูู ุงูุฃูู ุฎู
ุณุฉ ุงุฐุง ููุช ุชูุงุฑู |
|
|
|
246 |
|
00:20:42,760 --> 00:20:50,880 |
|
ูุฐู ุงูุงุฎุชุตุงุฑุงุช ู
ุน ุงูุงุฎุชุตุงุฑุงุช ุงูุฌุฏูุฏุฉ ุงู ุจู ุนุจุงุฑุฉ |
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247 |
|
00:20:50,880 --> 00:20:56,360 |
|
ุนู ู
ูู ุงูุณ ุนูู ุงู ุจู ุนุจุงุฑุฉ ุนู ู
ูู ุงูุณ ุนูู ุงู ุจู |
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248 |
|
00:20:56,360 --> 00:21:01,300 |
|
ุนุจุงุฑุฉ ุนู ู
ูู ุงูุณ ุนูู ุงูู ุจู ูุนูู ูุฐู ุตุงุฑุช ู ุจุงู |
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249 |
|
00:21:01,300 --> 00:21:06,600 |
|
ุนุจุงุฑุฉ ุนู ูู ุนุจุงุฑุฉ ุนู x ููุฐู ูู ุทูุนุชูุง ูุฐู n minus |
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250 |
|
00:21:06,600 --> 00:21:11,880 |
|
n ุจุงู ู
ุด ุดุงูู ุงู n times n minus ุจุงู ูู n minus ุงู |
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251 |
|
00:21:11,880 --> 00:21:16,180 |
|
n ุจุงู ุนุจุงุฑุฉ ุนู ู
ูู ุงููู ูู ุงู x ู
ู
ูู ุฃุญูู ุฅู
ุง x |
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252 |
|
00:21:16,180 --> 00:21:20,440 |
|
ุฃูุจุฑ ู
ู ุณุงุนุฉ ุฎู
ุณุฉ and n minus x at least five or |
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253 |
|
00:21:20,440 --> 00:21:23,920 |
|
ุงููู ุญูููุง ุนููู ูู ุงูุฃูู n times b ุฃู n times one |
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254 |
|
00:21:23,920 --> 00:21:27,740 |
|
minus b ูุฏููุฉ two equivalent formulas either you |
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255 |
|
00:21:27,740 --> 00:21:33,100 |
|
use X minus N by over square root N by one minus Y |
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256 |
|
00:21:33,100 --> 00:21:37,060 |
|
or the previous one which we are familiar with B |
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257 |
|
00:21:37,060 --> 00:21:40,620 |
|
minus Y ุนูู square root Y one minus Y over N ุฅุฐุง |
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258 |
|
00:21:40,620 --> 00:21:46,180 |
|
ุจุณุชุฎุฏู
ุฃู ูุงุญุฏุฉ ู
ููู
ุงูุฃุชููู ุตุญ ููุงุฎุฏ |
|
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259 |
|
00:21:46,180 --> 00:21:54,000 |
|
example ุนูู ูุฐุง ุงูู
ูุถูุน ูุญุฏ |
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260 |
|
00:21:54,000 --> 00:21:54,960 |
|
ูุฌูุณ ุงูู
ุซุงู |
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261 |
|
00:21:57,750 --> 00:22:02,270 |
|
ุฃู
ุงูู ุงูู company ุจุชุนุฑู ุฃููุง ุชุญุตู ุนูู 8 ุดุฎุต ู 5 |
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262 |
|
00:22:02,270 --> 00:22:07,170 |
|
ู
ุณุชุฎุฏู
ู
ู ุฎูุงู ุณูุฉ ูุนูู ูู ูุฐุง ุงูุจุฑูุงู
ุฌ ู
ุฌู
ูุนุฉ |
|
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|
263 |
|
00:22:07,170 --> 00:22:15,950 |
|
ู
ุฎุชููุฉ ู
ู 500 ู
ุณุชุฎุฏู
ุงุณุชูุจูุช ู
ุน 25 ู
ุณุชุฎุฏู
ุชุณุนุฉ ุฃูู |
|
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264 |
|
00:22:15,950 --> 00:22:20,830 |
|
ูุฎู
ุณุฉ ููู
ูู ุณูุฉ ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
|
|
|
|
265 |
|
00:22:20,830 --> 00:22:23,470 |
|
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
|
|
|
|
266 |
|
00:22:23,470 --> 00:22:27,450 |
|
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
|
|
|
|
267 |
|
00:22:27,450 --> 00:22:27,470 |
|
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
|
|
|
|
268 |
|
00:22:27,470 --> 00:22:31,230 |
|
ู
ุณุชุฎุฏู
ู
ุณุชุฎุฏู
ู
ุณุชุดุฑูุงุช ู
ุนููุฉ ุงูุชุฑุถ ุงู response |
|
|
|
269 |
|
00:22:31,230 --> 00:22:35,270 |
|
ุชุจุนูู
ู
ู
ูู ูููู low ูุนูู ุงููุงุณ ูู
ุง ุชุณุชุฌูุจ ู
ุด ุงููู |
|
|
|
270 |
|
00:22:35,270 --> 00:22:41,050 |
|
ููุนุจู ุงูุงุณุชุฌุงุจุฉ ู
ุด ููู ุงู marketing company claims |
|
|
|
271 |
|
00:22:41,050 --> 00:22:45,390 |
|
that ุชุชุฏุนู ุงูู it receives eight percent responses |
|
|
|
272 |
|
00:22:45,390 --> 00:22:50,310 |
|
from its mailing ูู
ุง ุจูุจุนุชูุง mailing ุจูุจุนุชูุง ุจุฑูุฏ |
|
|
|
273 |
|
00:22:50,310 --> 00:22:56,050 |
|
ุจูุฌููู
ุงูุฑุฏ ุจุณ ุชู
ุงููุฉ ูู ุงูู
ูุฉ ู
ู ุงูุฑุฏูุฏ ูููุง to |
|
|
|
274 |
|
00:22:56,050 --> 00:22:59,510 |
|
test this claim ุนุดุงู ูุฎุชุจุฑูุง ูุฐุง ุงูุงุฏุนุงุก a random |
|
|
|
275 |
|
00:22:59,510 --> 00:23:05,110 |
|
sample of 500 were surveyed ูุนูู ุชู
ุงุณุชุทูุงุน ุงู ู
ุณุญ |
|
|
|
276 |
|
00:23:05,110 --> 00:23:10,090 |
|
ู 500 ูุงุญุฏ with 25 responses ูุงููู ุฌุงูุจ ูุฏุงุดุ 25 |
|
|
|
277 |
|
00:23:10,090 --> 00:23:13,690 |
|
ุฅุฐุง ูู ููุฌุงูุจ ุฃู ู
ุด ููุฌุงูุจ ูุจุงูุชุงูู ูู ูุงุญุฏุฉ ุงููู |
|
|
|
278 |
|
00:23:13,690 --> 00:23:18,170 |
|
ููุง two possible outcomes either response or don't |
|
|
|
279 |
|
00:23:18,170 --> 00:23:22,810 |
|
response ุฎูููู ุฃุชุทูุน ุนูู ุงู information ุงููู |
|
|
|
280 |
|
00:23:22,810 --> 00:23:28,570 |
|
ู
ูุฌูุฏุฉ ุนูุฏู ูู ุงูุฃููุ ุฅูุด ุงู test ูุชูููุ ู
ูู equal |
|
|
|
281 |
|
00:23:28,570 --> 00:23:33,230 |
|
ููุง ุจุงู equalุ ู
ูู
ุฌุฏุง ุฃุนุฑู ุฃูุง ุจุชููู
ุนูู ู
ูู ููุง |
|
|
|
282 |
|
00:23:33,230 --> 00:23:37,890 |
|
ุจุงูุ ุนูู ุจุงูุ ู
ุธุจูุท ูุฃู ุฃูุง ุจุชููู
ุนูู ุงู |
|
|
|
283 |
|
00:23:37,890 --> 00:23:40,970 |
|
proportion of what we are talking about ุจุงู ุฅุฐุง ุงู |
|
|
|
284 |
|
00:23:40,970 --> 00:23:48,430 |
|
ุจุงู equal 8% ุทุจ ู ุงู H1ุ ู
ุงุญูููุงุด ุฃูุจุฑ ุฃู ุฃููุ |
|
|
|
285 |
|
00:23:48,430 --> 00:23:55,180 |
|
ู
ุงููุด ู
ุนุชุจุฑูุงุูุงูู ู
ุชุณุงููุ a random sample of size |
|
|
|
286 |
|
00:23:55,180 --> 00:24:03,760 |
|
500 ู
ุธุจูุทุ ุฃูู
ู ูุงุญุฏ ุญูุงูุฉ ุฃู responseุ 8x5 ุฃูู ุดู |
|
|
|
287 |
|
00:24:03,760 --> 00:24:07,000 |
|
ุจุชุฃูุฏ ู
ู ุงู two conditions ุงููู ุนูุฏู ุงููู ูู n |
|
|
|
288 |
|
00:24:07,000 --> 00:24:16,800 |
|
times y 500 times 8 ูู ุถุฑุฑุช 5 ูู 8 ุจุทูุน ุงู 40 ุทุจ ู |
|
|
|
289 |
|
00:24:16,800 --> 00:24:24,010 |
|
n times 1 minus y ู
ู ุบูุฑ ู
ุญุณุจุฉ ู
ุด ู
ุชุณุงููุุงููู ูู n |
|
|
|
290 |
|
00:24:24,010 --> 00:24:29,190 |
|
times one minus pi ู
ู ุบูุฑ ู
ุง ูุญุณุจูุง ุงููู |
|
|
|
291 |
|
00:24:29,190 --> 00:24:34,170 |
|
ูู ุงู complement ููุฎู
ุณู
ูุฉ ู
ุธุจูุท ู
ูู
ู ุงูุฎู
ุณู
ูุฉ ุงุฐุง |
|
|
|
292 |
|
00:24:34,170 --> 00:24:38,270 |
|
ูุงู ุฏููุฉ ุงุฑุจุนูู ูุนูุฏู ุฎู
ุณูู ูุทูุน ุงุฑุจุน ู
ูุฉ ูุณุชูู ูู |
|
|
|
293 |
|
00:24:38,270 --> 00:24:45,490 |
|
ุจุชุญุณุจููุง I ุฎู
ุณู
ูุฉ of one minus pi ูุนูู ุฎู
ุณู
ูุฉ ูู |
|
|
|
294 |
|
00:24:45,490 --> 00:24:50,620 |
|
ุงุชููู ูุชุณุนูู ุงููู ูู ุงุฑุจุน ู
ูุฉ ูุณุชูู ูุงุถุญ ุฃู ูุคูุงุก |
|
|
|
295 |
|
00:24:50,620 --> 00:24:57,360 |
|
ุงูุงุชููู ูู ุฌู
ุนูุงู ู
ุด ุจูุทูุน ุงูุฌูุงุจ ู
ููุงูุฉ |
|
|
|
296 |
|
00:24:57,360 --> 00:24:59,800 |
|
ู
ุงููุด ุฏูููุชู ุฃู ุฃุถุฑุจูุง ู
ู
ูู ุฃุทูุน ุงูุฌูุงุจ ุนูู ุทูู |
|
|
|
297 |
|
00:24:59,800 --> 00:25:05,320 |
|
ุฅุฐุง ูุงุถุญ ุงู conditions ู
ุง ููู
are satisfied |
|
|
|
298 |
|
00:25:05,320 --> 00:25:08,140 |
|
because the conditions are n times pi at least 5 |
|
|
|
299 |
|
00:25:08,140 --> 00:25:11,740 |
|
and n times 1 minus pi is at least 5 in this case |
|
|
|
300 |
|
00:25:11,740 --> 00:25:17,580 |
|
we got 40 and 406 it means the two conditions are |
|
|
|
301 |
|
00:25:17,580 --> 00:25:28,000 |
|
okay ุงูุงู ูุฌุจ ุฃู ูุฌุฏ ููู
ุฉ ู
ูู
ุฉ ุณุฃููู
|
|
|
|
302 |
|
00:25:28,000 --> 00:25:35,280 |
|
ุจุนู
ู ุงูู
ุดููุฉ ุจุงุณุชุฎุฏุงู
ููู
ุฉ ู
ูู
ุฉ ูุฑูุจุฉ ุซู
ุจุงุณุชุฎุฏุงู
|
|
|
|
303 |
|
00:25:35,280 --> 00:25:42,500 |
|
ููู
ุฉ P ูุฑูุจุฉ ุงูุฃู Alpha 5% ูุญู ูุชููู
ุนู ุชุฌุงุฑุจ 2D |
|
|
|
304 |
|
00:25:48,680 --> 00:25:51,180 |
|
ููุง ููุฌุฏ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช |
|
|
|
305 |
|
00:25:51,180 --> 00:25:52,260 |
|
ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช |
|
|
|
306 |
|
00:25:52,260 --> 00:26:01,660 |
|
ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช |
|
|
|
307 |
|
00:26:05,360 --> 00:26:09,440 |
|
ูุฐูู ุงูู
ูุงุทู ุงูุงูุชูุงููุฉ ุฃูุชุฑ ู
ู 1.96 ุฃู ุฃูุชุฑ ู
ู |
|
|
|
308 |
|
00:26:09,440 --> 00:26:15,360 |
|
ููู 1.96 ุฅุฐุง ูุงูุช ููู
ุฉ ุงูุงูุชูุงููุฉ ุชุณูุท ูู ูุฐู |
|
|
|
309 |
|
00:26:15,360 --> 00:26:18,520 |
|
ุงูู
ูุงุทู ุงูุงูุชูุงููุฉ ุฅูู ุงููุณุงุฑ ุฃู ุงููุณุงุฑุ ูุณูููู |
|
|
|
310 |
|
00:26:18,520 --> 00:26:24,200 |
|
ุฅูู ุงูููุจูุช ููุณู ุฏุนููุง ูุญูู
ูู ูุฐู ุงูุงูุชูุงููุฉ |
|
|
|
311 |
|
00:26:31,790 --> 00:26:36,970 |
|
b-y over square root of y 1-y over n ุจูุฒ ุงูุณ over |
|
|
|
312 |
|
00:26:36,970 --> 00:26:42,350 |
|
n ุจูุฒ ุงูุณ |
|
|
|
313 |
|
00:26:42,350 --> 00:26:44,890 |
|
ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ |
|
|
|
314 |
|
00:26:44,890 --> 00:26:45,430 |
|
ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ |
|
|
|
315 |
|
00:26:45,430 --> 00:26:48,230 |
|
ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ |
|
|
|
316 |
|
00:26:48,230 --> 00:26:50,130 |
|
ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ |
|
|
|
317 |
|
00:26:50,130 --> 00:26:50,170 |
|
ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ ุนุดุฑ |
|
|
|
318 |
|
00:26:50,170 --> 00:26:54,310 |
|
ุนุดุฑ |
|
|
|
319 |
|
00:26:54,310 --> 00:26:59,350 |
|
ุนุดุฑ |
|
|
|
320 |
|
00:26:59,350 --> 00:27:07,050 |
|
ุนุงููู ูู square root of pi 1 minus pi over n ุงููู |
|
|
|
321 |
|
00:27:07,050 --> 00:27:15,330 |
|
ูู 8 percent 92 percent over 500 ู
ู
ูู ุชุญุณุจููุง ุฃูุง |
|
|
|
322 |
|
00:27:15,330 --> 00:27:19,870 |
|
ุจูุถู ุฃุญุณุจูุง ูุจุนุฏูู ุฃุญุทูู
ูู ุงูู
ุนุงุฏูุฉ ุงููู ูู |
|
|
|
323 |
|
00:27:19,870 --> 00:27:24,690 |
|
point |
|
|
|
324 |
|
00:27:24,690 --> 00:27:27,810 |
|
zero nine eight times nine |
|
|
|
325 |
|
00:27:31,420 --> 00:27:39,380 |
|
ุฅุฐุง ุจุงูู 0.8 ูุนูู 0.92 ุชูุณูู
500 ุจุทูุน ุงู square |
|
|
|
326 |
|
00:27:39,380 --> 00:27:43,560 |
|
root 001472 |
|
|
|
327 |
|
00:27:43,560 --> 00:27:47,980 |
|
ูู |
|
|
|
328 |
|
00:27:47,980 --> 00:27:53,420 |
|
ุทูุนูุง ุงู square root 0 |
|
|
|
329 |
|
00:27:53,420 --> 00:27:56,540 |
|
.0001472 |
|
|
|
330 |
|
00:27:56,540 --> 00:28:03,390 |
|
ุฅูุด ุจุทูุน ุงูุฌูุงุจุ ุจุชุทูุน ุฌูุงุจ ูุฐุง ุงูู square root |
|
|
|
331 |
|
00:28:03,390 --> 00:28:13,370 |
|
ููููู
ุฉ ูุฐู ุงููู |
|
|
|
332 |
|
00:28:13,370 --> 00:28:18,730 |
|
ูู point zero zero one four seven two ุจุชุทูุน ุฌูุงุจ |
|
|
|
333 |
|
00:28:18,730 --> 00:28:26,630 |
|
ูุฏูุ zero one two ุชูุฑูุจุง ุญุณุงุจ ุงูุชุฏููุ ุฅุฐุง ุฃูุง ุจูุตุญ |
|
|
|
334 |
|
00:28:26,630 --> 00:28:31,170 |
|
ุฏู ู
ู ุฃุนู
ู ุฒู ููู ุฃุทูุน ุงู b ู ุงู sigma ูู b ู |
|
|
|
335 |
|
00:28:31,170 --> 00:28:35,110 |
|
ุจุนุฏูู ุฃุญุณุจ ุงู |
|
|
|
336 |
|
00:28:35,110 --> 00:28:42,250 |
|
z set ุจุชุณุงูู b minus pi ุน sigma ูู b ุงู b 5 |
|
|
|
337 |
|
00:28:42,250 --> 00:28:47,490 |
|
percent ุงู pi ุจููุช ุงู sigma ูู b ุฃูุง ุฃุทูุนูุง ุชูุฑูุจุง |
|
|
|
338 |
|
00:28:47,490 --> 00:28:51,730 |
|
0.12 ุงูุฌูุงุจ ุทุงูุน negative 2.47 |
|
|
|
339 |
|
00:28:59,160 --> 00:28:59,600 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
340 |
|
00:28:59,600 --> 00:29:07,040 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
341 |
|
00:29:07,040 --> 00:29:09,020 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
342 |
|
00:29:09,020 --> 00:29:09,760 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
343 |
|
00:29:09,760 --> 00:29:10,160 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
344 |
|
00:29:10,160 --> 00:29:10,440 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
345 |
|
00:29:10,440 --> 00:29:10,500 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
346 |
|
00:29:10,500 --> 00:29:10,780 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
347 |
|
00:29:10,780 --> 00:29:23,220 |
|
ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง ุฅุฐุง |
|
|
|
348 |
|
00:29:26,930 --> 00:29:31,270 |
|
-2.47% ู
ูุฌูุฏุฉ ูู ูุฐู ุงูู
ุฌุงู ุงูุชุฑูุถ ูุงุถุญ ุงู ููู
ุฉ |
|
|
|
349 |
|
00:29:31,270 --> 00:29:36,190 |
|
ุงูุญุตุงุก ููู ู
ูุฌูุฏุฉ ูู ู
ูุทูุฉ ุงูุฑูุถ ุชููู ูุญู ูุชูุฑุฌ ุนู |
|
|
|
350 |
|
00:29:36,190 --> 00:29:40,830 |
|
ุงูู null hypothesis ุทุงูู
ุง ูุชูุฑุฌ ุนู ุงูุงุฎุชุตุงุฑ ููุฌุฏ |
|
|
|
351 |
|
00:29:40,830 --> 00:29:45,990 |
|
ูุซูุฉ ูุงููุฉ ูุชูุฑุฌ ุนูู ุงุนุชุจุงุฑ ุงูุดุฑูุงุช ู
ู 8% ุนุฏุฏ |
|
|
|
352 |
|
00:29:45,990 --> 00:29:50,550 |
|
ุงูุฅุฌุงุจุฉ ุฅุฐู ูู
ุง ูุงููุง ุฏุนุงูู
ุฅูู ูู
ูุฌูุจูุง 8% |
|
|
|
353 |
|
00:29:50,550 --> 00:29:55,370 |
|
ููุงู
ุชู ุตุญ ููุง ุบูุท ู
ุด ุตุญุ ุจุงูุชุงูู ูู ู
ุงูู differs |
|
|
|
354 |
|
00:29:55,370 --> 00:29:59,190 |
|
from 8% do you think it's smaller than or greater |
|
|
|
355 |
|
00:29:59,190 --> 00:30:04,350 |
|
than 8%ุ ูู ุทูุน ุงู conclusion ุชููู ุจุงู ุฃูุจุฑ ููุง |
|
|
|
356 |
|
00:30:04,350 --> 00:30:09,810 |
|
ุฃููุ ุฅูุด ุชุชููุนูุ ู
ุง ูู ูุง ูุชุณุงูู ู
ุนูุงูุง ูุงุญุฏุฉ ู
ู |
|
|
|
357 |
|
00:30:09,810 --> 00:30:15,050 |
|
ุงูุฃุชููู ูุง ูุชุณุงูู ู
ุนูุงูุง .. ุฃูุง ุจุญูููู ุฃูุช ู
ุงุญููุด |
|
|
|
358 |
|
00:30:15,050 --> 00:30:18,470 |
|
ุนุดุฑ ุฃุดูุงุก ู
ุงุญููุด ู
ุนูุงูุง ูุง ู
ุนุงู ุฃูุชุฑ ูุง ู
ุนุงู ุฃูู |
|
|
|
359 |
|
00:30:18,470 --> 00:30:21,850 |
|
ุทูุจ ููู .. ูู
ุง ุจุญูู ู
ุนุงู .. ุงู buy ุจุชุณุงููุด ุฎุงู 8% |
|
|
|
360 |
|
00:30:22,650 --> 00:30:28,010 |
|
ู
ุนูุงู ุฃูุจุฑ ููุง ุฃูู ูู ุงูุญุงูุฉ ุชุจุนุชูุงุ ููุด ุฃูุจุฑุ |
|
|
|
361 |
|
00:30:28,010 --> 00:30:32,870 |
|
ุนุดุงู ุงูุณูุฉ ุจุชููู ุฃูุจุฑุ ูู
ุง ุงูุดูุฉ ุชููู ุงูุณูุฉ ุจุชููู |
|
|
|
362 |
|
00:30:32,870 --> 00:30:36,770 |
|
ุฃูุจุฑ ููุง ุฃููุ ูู
ุง ูููู ุนูุฏู ุฌูุงุจ ุจุงู negative |
|
|
|
363 |
|
00:30:36,770 --> 00:30:40,610 |
|
ุจุชููู ุงูููู
ุฃูุจุฑ ููุง ุฃููุ ุงูุช ูุญุธุฉ ุทุงูุน ุฃูุช |
|
|
|
364 |
|
00:30:40,610 --> 00:30:45,570 |
|
ู
ุงุญุชูุธุด ู
ู ุนูุฏู ุจู minus ุจุงู negative ู
ุน ูุฏู ุงูุจู |
|
|
|
365 |
|
00:30:45,570 --> 00:30:50,430 |
|
ุฃูู ููุง ุฃูุจุฑ ู
ู ุจุงูุ ุฃูู ู
ู ุจุงูุช ูุจุชุฎูู ุจุงุณูุชุฌุฑ |
|
|
|
366 |
|
00:30:50,430 --> 00:30:52,950 |
|
ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช |
|
|
|
367 |
|
00:30:52,950 --> 00:30:56,370 |
|
ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง |
|
|
|
368 |
|
00:30:56,370 --> 00:30:56,830 |
|
ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู |
|
|
|
369 |
|
00:30:56,830 --> 00:30:56,910 |
|
ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู |
|
|
|
370 |
|
00:30:56,910 --> 00:31:04,750 |
|
ุจุงูุช ุชุนุชู
ุงููุง ุฃูู ู
ู ุจุงูุช ุชุนุชู
ุงููุง ุฃูู |
|
|
|
371 |
|
00:31:04,750 --> 00:31:10,050 |
|
ู
ู ุจุงูุช ุชุนุชู
ุงููุง |
|
|
|
372 |
|
00:31:10,050 --> 00:31:16,290 |
|
ุฃูู |
|
|
|
373 |
|
00:31:16,290 --> 00:31:25,660 |
|
ู
ู ุจุงูุช ุงูู P-Value ุฏุนููู ุฃุฑู ู
ุน ุจุนุถ ูุฐุง ูู |
|
|
|
374 |
|
00:31:25,660 --> 00:31:30,500 |
|
P-Value P-Value ุณุชุณุงูู ุฅุฐุง ุฑุฃูุช ุงูู Statistics |
|
|
|
375 |
|
00:31:30,500 --> 00:31:37,460 |
|
ูููู ุฃูุจุฑ ู
ู ุงูููู
ุฉ ุฃู ุฃุตุบุฑ ู
ููุง ูุนูู ุณุฃุฎุฏ ูุทุน ุงูู |
|
|
|
376 |
|
00:31:37,460 --> 00:31:43,820 |
|
Absolute Value Z ุฃูุจุฑ ู
ู 2 ุฃู Z ุฃูู ู
ู negative 2 |
|
|
|
377 |
|
00:31:43,820 --> 00:31:48,780 |
|
.47 ุงูุชููุชูู ุฒู ุจุนุถุ ู
ุธุจูุท ุฏุงูู
ุง .. ูุฏูู ุฏุงูู
ุง ุฎูู |
|
|
|
378 |
|
00:31:48,780 --> 00:31:54,720 |
|
ุจุงูู .. ูู
ุง ุจุชููู
ุนู ุงู B value ุจุญุท ููุง ู
ูู ุงู Z |
|
|
|
379 |
|
00:31:54,720 --> 00:31:59,960 |
|
statistic ุญููุช ุฏู ุนุงู
ุฉ ุดููุฉ ูุจุงูุชุงูู ูุชููู 2.47 |
|
|
|
380 |
|
00:31:59,960 --> 00:32:04,180 |
|
ููุง ูููุง negative 2.47 ุงูุชููุชูู ูุฏูู ุฒู ุจุนุถุ |
|
|
|
381 |
|
00:32:04,180 --> 00:32:08,080 |
|
ู
ุธุจูุท ุจุทูุน ูุงุญุฏุฉ ุจุถุฑุจ ูู ุงุชููู ู
ูู ูุณู ูุทูุนุ |
|
|
|
382 |
|
00:32:08,080 --> 00:32:12,950 |
|
ุงูุฃูุจุฑ ููุง ุงูุฃููุ ุฏุงูู
ุง ุงูุฃุณูุฉ ุญุณุจ ุงู table ุงูุชูุจู |
|
|
|
383 |
|
00:32:12,950 --> 00:32:15,750 |
|
ุงููู ุนูุฏู ู
ูุนุทู ู
ุณุงุญุฉ ูู
ูู ููุง ุดู
ุงู ุชุจูู ุงู Z ุชุจูู |
|
|
|
384 |
|
00:32:15,750 --> 00:32:21,490 |
|
ุงู Z ุฎูู ุจุงูู ูุฐุง Z ูุฐุง ุงูุชูุฒูุน Z ู
ุด T ุฒู ุงููู |
|
|
|
385 |
|
00:32:21,490 --> 00:32:25,130 |
|
ูุงุช ุงู |
|
|
|
386 |
|
00:32:25,130 --> 00:32:29,530 |
|
negative ุฃูู ุฌุงูุฒ ุจูุนุทููุง ุฅูู to the right ู to |
|
|
|
387 |
|
00:32:29,530 --> 00:32:34,790 |
|
the left ุจุงูุชุงูุฉ ุฏู ุฌุงูุฒุฉ ุงููู ุฃูุจุฑ ุจุฏู ุฃุนู
ู one |
|
|
|
388 |
|
00:32:34,790 --> 00:32:38,910 |
|
minus ู
ุด ุดู ุงูุงุชููู ุตุญ ูุจุฃุฎุฏ ูุงุญุฏุฉ ู
ููู
ู ุจุถุฑู |
|
|
|
389 |
|
00:32:38,910 --> 00:32:43,450 |
|
ุงูุงุชููู ุฎุฏ ุฃู ูุงุญุฏุฉ ู
ููู
ุฃูุง ุจุฏู ุฃุฎุฏ ุงูุฃุณููุงููู |
|
|
|
390 |
|
00:32:43,450 --> 00:32:51,310 |
|
ุฌุงูุฒุฉ ุนูุฏู negative 2.4 under 7 ูู negative 2.4 |
|
|
|
391 |
|
00:32:51,310 --> 00:32:54,350 |
|
0068 |
|
|
|
3 |