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1 |
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00:00:20,670 --> 00:00:26,610 |
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ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุงูููู
ุงู ุดุงุก ุงููู ููุจุฏุฃ ุฃูู |
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2 |
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00:00:26,610 --> 00:00:32,390 |
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ููุงู ุจุนุฏ ุฑู
ุถุงู ูุฏุงุฆู
ุง ุฃูู ููุงู ุจูููู ุฎููู ูููุงุฎุฏ |
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3 |
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00:00:32,390 --> 00:00:36,310 |
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ูู ู
ูุถูุน ุณูู ุงููู ูู ุงู two population proportions |
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4 |
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00:00:36,310 --> 00:00:43,670 |
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ุจุชุนุฑู ุดุจุทุฑ 9 ูุดุจุทุฑ 10 ุญูููุง ุนู ุดุบูุชูู ู
ูู
ุฉ ุงููู ูู |
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5 |
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00:00:43,670 --> 00:00:47,590 |
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ุงู testing about population parameters ุฃุฎุฏูุง ุงู |
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6 |
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00:00:47,590 --> 00:00:51,410 |
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population mean one population meanูุฃุฎุฏูุง one |
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7 |
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00:00:51,410 --> 00:00:54,910 |
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population proportion ุฃุฎุฏูุง ูู ุดุฑุทุฑ ุชุณุนุฉ ุงููู |
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8 |
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00:00:54,910 --> 00:00:58,850 |
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ุนู
ููุงูุง ูู ุนุดุฑุฉ ุนู
ููุง extension ูุดุฑุทุฑ ุชุณุนุฉ ูุฃุฎุฏูุง |
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9 |
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00:00:58,850 --> 00:01:02,450 |
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two population means ูุฃุฎุฏูุงูู
ุญุงูุชูู ุชุฐูุฑูุง ุงููู |
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10 |
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00:01:02,450 --> 00:01:07,190 |
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ูู ุงู independent ู ุงู related ู ูุฏูู ุงุชููู ูู |
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11 |
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00:01:07,190 --> 00:01:11,610 |
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population means ุจููุฒู
ูููู ุนูุฏู ููุน ุงูุจูุงูุงุช |
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12 |
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00:01:11,610 --> 00:01:16,890 |
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quantitative data ุจูุงูุงุช ูู
ูุฉ ูู ูุงูุช qualitative |
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13 |
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00:01:16,890 --> 00:01:21,720 |
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ูุนูู ุฃุณุฑุฉ ุฒู yes ู no ุจุณุชุฎุฏู
ุงูู proportions ุณูุงุก |
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14 |
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00:01:21,720 --> 00:01:23,800 |
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ูุงูุช one population of proportions ุฒู ุงููู ุฃุฎุฏูุงูุง |
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15 |
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00:01:23,800 --> 00:01:26,660 |
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ูู ุดุฑุทุฉ ุชุณุนุฉ ุฃู two population of proportions ุงุญูุง |
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16 |
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00:01:26,660 --> 00:01:31,420 |
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ููุงุฎุฏู ุงูุขู ูุงูุฌูู |
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17 |
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00:01:31,420 --> 00:01:35,980 |
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test a hypothesis or form confidence interval |
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18 |
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00:01:35,980 --> 00:01:39,280 |
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usually will skip confidence interval as we |
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19 |
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00:01:39,280 --> 00:01:41,820 |
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mentioned before so we are going just to test a |
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20 |
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00:01:41,820 --> 00:01:47,160 |
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hypothesis for the difference betweentwo |
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21 |
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00:01:47,160 --> 00:01:49,360 |
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population proportions ุฒู ู
ุง ุญูููุง for the |
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22 |
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00:01:49,360 --> 00:01:52,060 |
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difference between two population means ููุง ุงุญูุง |
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23 |
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00:01:52,060 --> 00:01:57,700 |
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ูุญูู ุนูู ููุณ ุงูู
ูุถูุน ุงููู ูู ุงู two population |
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24 |
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00:01:57,700 --> 00:02:04,380 |
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proportions ูุงุถุญ |
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25 |
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00:02:04,380 --> 00:02:07,500 |
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ูุงู two population proportions ุญูููุง ุงู by one |
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26 |
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00:02:07,500 --> 00:02:13,120 |
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represents the population proportion for |
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27 |
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00:02:13,120 --> 00:02:20,110 |
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population number oneุงูุชุงููุฉ ุงูู bi2 ู
ู
ูุฒุฉ ุจุงููุณุจุฉ |
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28 |
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00:02:20,110 --> 00:02:26,350 |
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ููุฌู
ููุฑ ุงูุซุงูู ููุฌู
ููุฑ ููุญู ู
ูุชู
ูู ุจุชุฌุงุฑุจ ุงููุฑู |
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29 |
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00:02:26,350 --> 00:02:31,350 |
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ุจูู ูุฐู ุงูุงุซููู ุงูุฌู
ููุฑ ุงูุฃุณุงู
ูู ูู ููุณูุง ุงูุชู ูุฏ |
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30 |
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00:02:31,350 --> 00:02:36,990 |
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ุชุญุฏุซูุง ุนููุง ูุจููุง ุงูุฃุณุงู
ูู ูู N times Y is at |
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31 |
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00:02:36,990 --> 00:02:44,150 |
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least 5ูNร1-Pi ูู ุฃูู ู
ู 5 ููุฐุง ููู
ุฌุชู
ุน ุงูุฃููุ |
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32 |
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00:02:44,150 --> 00:02:49,570 |
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ูู
ุซููุง ููู
ุฌุชู
ุน ุงูุซุงููุ ูุงููุงุถุญ ุฃู NรPi1 ูู ุฃูู ู
ู |
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33 |
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00:02:49,570 --> 00:03:00,190 |
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5 ูNร1-Pi1 ูู ุฃูุถูุง ุฃูู ู
ู 5ุ ูุฐุง ูุดุฎุต ููุณู ุงูุฐู |
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34 |
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00:03:00,190 --> 00:03:04,250 |
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ูุนููุงู ูู ุงูุญููุฉ 9ูููู ููุง ูุฏููุง ุงุซุงุฑูู ุงุนูู ูุฏููุง |
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35 |
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00:03:04,250 --> 00:03:07,530 |
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ุงุซุงุฑูู ู
ุฌู
ูุนุงุช ูุฐุง ูุฎุชุงุฑ ุงุซุงุฑูู ู
ุฌู
ูุนุงุช ุนุดูุงุฆูุฉ |
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36 |
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00:03:07,530 --> 00:03:12,950 |
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ูุฐุง ูุฏููุง ุงุซุงุฑูู ู
ุฌู
ูุนุงุช ู
ุฌู
ูุนุงุช ูู ูุงุญุฏุฉ ูุงูุชูุง |
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37 |
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00:03:12,950 --> 00:03:15,930 |
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ุงุฐุง ุงูุชูุง ู
ุฌู
ูุนุงุช ุจู ุงุชูุง ูุฌุจ ุฃู ูููู ุนูู ุงูุฃูู 5 |
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38 |
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00:03:15,930 --> 00:03:18,970 |
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ุงูุชูุง ู
ุฌู
ูุนุงุช ูุงุญุฏุฉ ุงูู ุจู ุงุชูุง ูุฌุจ ุฃู ูููู ุนูู |
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39 |
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00:03:18,970 --> 00:03:22,370 |
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ุงูุฃูู 5 ูุงูุชูุง ู
ุฌู
ูุนุงุช ู
ุฌู
ูุนุงุช ู
ุฌู
ูุนุงุช ุงุชูุง ูุฌุจ ุฃู |
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40 |
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00:03:22,370 --> 00:03:24,070 |
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ูููู ุนูู ุงูุฃูู 5 ูุงูุชูุง ู
ุฌู
ูุนุงุช ู
ุฌู
ูุนุงุช ู
ุฌู
ูุนุงุช |
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41 |
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00:03:24,070 --> 00:03:26,790 |
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ุงุชูุง ูุฌุจ ุฃู ูููู ุนูู ุงูุฃูู 5 ูุงูุชูุง ู
ุฌู
ูุนุงุช |
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42 |
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00:03:26,790 --> 00:03:31,620 |
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ู
ุฌู
ูุนุงุช ู
ุฌู
ูุนุงุช ุงุชูุง ูุฌุจ ุฃู ูููู ุนูู ุงูุฃูุฃูุถูุง |
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43 |
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00:03:31,620 --> 00:03:36,280 |
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ู
ุซููุง ูู
ุง ุฐูุฑูุงู ูุจู ุฐูู ู
ูุงุฑูุฉ ุงูููุทุฉ ููู
ูุงุฑูุฉ |
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44 |
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00:03:36,280 --> 00:03:39,920 |
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ุฅุฐุง ูุงู ูุฏููุง ู
ูุงุฑูุฉ ู
ุฌุชู
ุน ูุงุญุฏุฉ ูู
ูุงุฑูุฉ ุงูููุทุฉ |
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45 |
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00:03:39,920 --> 00:03:46,060 |
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ู
ุฌุฑุฏ P ุฅุฐุง ููุง ู
ูุชู
ูู ุจุงูู
ูุงุฑูุฉ ุจูู ู
ูุงุฑูุฉ ู
ุฌุชู
ุนูู |
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46 |
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00:03:46,060 --> 00:03:54,180 |
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ุซู
ู
ูุงุฑูุฉ ุงูููุทุฉ ููู
ูุงุฑูุฉ B1-B2 ูB1-B2 ูู ู
ูุงุฑูุฉ |
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47 |
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00:03:54,180 --> 00:03:58,300 |
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ุงูููุทุฉ ููู
ูุงุฑูุฉ |
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48 |
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00:03:58,300 --> 00:04:09,160 |
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P1-P2ูุฅุฐุง ููุง ูุชููู
ุนู P2-P1 ู
ุงูู ุงููุถุน ูู P2-P1 |
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49 |
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00:04:09,160 --> 00:04:19,480 |
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P2-P1ุ ูP2 ููุท ุนูุณ P2-P1 ูP2-P1 ูู ุงููุถุน ููู
ุฎุชูู |
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50 |
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00:04:19,480 --> 00:04:21,600 |
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P2-P1 |
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51 |
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00:04:26,990 --> 00:04:31,850 |
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ูู ุงูุญููุงูุงุช ุงูุงููุนุงููุฉุ ูู
ุง ุฐูุฑูุงุ ููู
ุฎุชูู ุจูู |
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52 |
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00:04:31,850 --> 00:04:36,270 |
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ุงุชุฌุงุฑุชูู ูุนูู ุฃู ูู ุงูุญููุงูุงุช ุงูุงููุนุงููุฉุ ูุง ููุฌุฏ |
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53 |
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00:04:36,270 --> 00:04:41,790 |
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ุงุฎุชูุงู ุจูู ุฃุณุงุณูุงุช ุงููุฏุงูุง. ุงูุขูุ ูุญู ู
ูุชู
ูู |
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54 |
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00:04:41,790 --> 00:04:47,850 |
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ุจุงูุงุฎุชูุงู ุจูู ุงุชุฌุงุฑุชูู ูู
ุฌู
ูุนุงุช. ูุฐูู, y1-y2 ูู 0. |
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55 |
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00:04:48,250 --> 00:04:52,270 |
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ุฃุนูู, ุงูุงุฎุชูุงู ุจูู ูุฐูู ูู 0. ุฃู ู
ุซููุง, ูุฐุง ูู
ูู |
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56 |
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00:04:52,270 --> 00:04:58,360 |
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ุฃู ูููู ูุชุงุจ ููุฐุง ูุนูู ุฃูู ููุณ ููุงู ุงุฎุชูุงู ู
ูู
ุจูู |
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57 |
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00:04:58,360 --> 00:05:05,260 |
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ู
ุฌู
ูุนุงุช ุงููุงุณ ู
ู ูุณุจุฉ ูุงุญุฏุฉ ููุณุจุฉ ุงุซูู. ุงูุขูุ |
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58 |
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00:05:05,260 --> 00:05:08,540 |
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ููุญูุจูุชุณูุฒ ุงูุฅูุชุฑูุช ุฃู ุงูุญูุจูุชุณูุฒ ุงูุฅูุชุฑูุช ูู
ุง |
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59 |
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00:05:08,540 --> 00:05:14,700 |
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ุฐูุฑุช ูุจููุงุ ููุงู ุซูุงุซุฉ ู
ุฌู
ูุนุงุชุ ุฅู
ุง ู
ุฎุชุงุฑูู ุฃู |
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60 |
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00:05:14,700 --> 00:05:19,340 |
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ู
ุฎุชุงุฑููุ ูุฐุง ูุนูู ุฃู ูุณุจุฉ ูุงุญุฏุฉ ุฃูู ู
ู ูุณุจุฉ ุงุซูู |
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61 |
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00:05:19,340 --> 00:05:23,260 |
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ููุณุช ุฃุฒุฑุนุ ูุฐุง ูุนูู ุฃู ูุณุจุฉ ูุงุญุฏุฉ ููุณุช ูุณุจุฉ ุงุซูู. |
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62 |
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00:05:24,840 --> 00:05:29,820 |
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ูุฐุง ูุณู
ู ุงุฎุชุจุงุฑ ู
ู ุงูุทุฑููู two-sided ุงู two-tailed |
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63 |
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00:05:29,820 --> 00:05:36,920 |
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ุนูู ุงูุฌุงูุจ ุงูุขุฎุฑุ ููุงู ุงุชูุงูุงุช ู
ุฎุชููุฉ ุงุฎุฑู ูุณู
ู |
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64 |
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00:05:36,920 --> 00:05:42,000 |
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upper tail ูlower tail ุงูู upper tail ูู ุจู ูุงู |
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65 |
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00:05:42,000 --> 00:05:47,880 |
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ุงูู ู
ู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู |
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66 |
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00:05:47,880 --> 00:05:52,340 |
|
ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู |
|
|
|
67 |
|
00:05:52,340 --> 00:05:53,080 |
|
ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู |
|
|
|
68 |
|
00:05:53,080 --> 00:05:55,060 |
|
ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุงู ุจู ุงุชูุฐุง ูุณู
ู ุชุฌุงุฑุจ |
|
|
|
69 |
|
00:05:55,060 --> 00:05:59,600 |
|
ุงูุฃุนููุ ูุงุถุญ ุชุฌุงุฑุจ ุงูุฃุนูู ูุฐูู ู
ูู ูุงู ู
ุงููุณ ู
ูู |
|
|
|
70 |
|
00:05:59,600 --> 00:06:06,920 |
|
ุงุชู ู
ูุชูุญุ ูู
ุซููุง ููู ุชุฌุงุฑุจ ุฃุณูู ูุนูู ุจุงู ูุงู |
|
|
|
71 |
|
00:06:06,920 --> 00:06:10,760 |
|
ู
ุงููุณ ุจุงู ุงุชู ู
ูุชูุญุ ููุฐุง ูุนูู ุจุงู ูุงู ุฃุตุบุฑ ู
ู ุจุงู |
|
|
|
72 |
|
00:06:10,760 --> 00:06:16,260 |
|
ุงุชูุ ุงูุขู ุชุญุช ุงูhypothesis ูุฅุฐุง ูุงูุช ุงูhypothesis |
|
|
|
73 |
|
00:06:16,260 --> 00:06:21,340 |
|
ุตุญูุญุฉุูู ูุธุฑุฉ ุงูู NULL ูุญู ูุนุชู
ุฏ ุฃู ุงูู NULL ุตุญูุญ |
|
|
|
74 |
|
00:06:21,340 --> 00:06:22,960 |
|
ูุฐูู ูุนุชู
ุฏ ุฃู ูุญู ูุญู ูุนุชู
ุฏ ุฃู ูุญู ูุญู ูุญู ูุญู ูุญู |
|
|
|
75 |
|
00:06:22,960 --> 00:06:25,640 |
|
ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู |
|
|
|
76 |
|
00:06:25,640 --> 00:06:28,480 |
|
ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู |
|
|
|
77 |
|
00:06:28,480 --> 00:06:28,720 |
|
ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู |
|
|
|
78 |
|
00:06:28,720 --> 00:06:45,680 |
|
ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู ูุญู |
|
|
|
79 |
|
00:06:45,680 --> 00:06:51,750 |
|
ูุงููุณุจุฉ ุงูู
ุฌุงู
ุนุฉ ููู
ุฌุชู
ุน ููู ูุณู
ููุง ุจููุช ุฃุณุชู
ุชุน |
|
|
|
80 |
|
00:06:51,750 --> 00:06:59,270 |
|
for the overall proportion ุงููุงููู |
|
|
|
81 |
|
00:06:59,270 --> 00:07:06,090 |
|
ุจู ุฏุงุดุช ุจู ุฏุงุดุช equals x1 plus x2 over n1 plus n2 |
|
|
|
82 |
|
00:07:06,090 --> 00:07:11,430 |
|
for example suppose I am teaching two classes of |
|
|
|
83 |
|
00:07:11,430 --> 00:07:15,330 |
|
statistics males and females |
|
|
|
84 |
|
00:07:18,360 --> 00:07:22,100 |
|
and suppose the number of males is seventy number |
|
|
|
85 |
|
00:07:22,100 --> 00:07:28,220 |
|
of females is hundred and my question is for each |
|
|
|
86 |
|
00:07:28,220 --> 00:07:32,640 |
|
class do you prefer this courseุ ุจุชูุถููุง ุงู course |
|
|
|
87 |
|
00:07:32,640 --> 00:07:37,500 |
|
ุงููู ุญูุง ูุงุฎุฏูุ ููุชุฑุถ for males twenty just prefer |
|
|
|
88 |
|
00:07:37,500 --> 00:07:42,520 |
|
.. ุงูุทุจูุนู ู
ุด ูุฏูุ ุงููู ุจูุถู ููุชุฑุถ ุงููู ุญุตูุช ุนุดุฑูู |
|
|
|
89 |
|
00:07:42,520 --> 00:07:48,370 |
|
ูุงุญุฏ ู ุงูุทุงูุจุงุช ููุชุฑุถ ุงููู ุจูุถู ุงุฑุจุนูู ูุงุญุฏููุชุฑุถ |
|
|
|
90 |
|
00:07:48,370 --> 00:07:53,050 |
|
ุญุงุฌุฉ ุฒู ูุฏู ุงููู ูู ุนุงูุฒ ุงุทูุน ุงู average ูู |
|
|
|
91 |
|
00:07:53,050 --> 00:07:57,390 |
|
proportion ู two classes ู
ุน ุจุนุถ together ุจูููุนุด |
|
|
|
92 |
|
00:07:57,390 --> 00:08:01,250 |
|
ุงุญูู ุงู average ุนุจุงุฑุฉ ุนู ู
ุฌู
ูุนุฉ ุฏูู ุนูู ุงุชููู |
|
|
|
93 |
|
00:08:01,250 --> 00:08:04,570 |
|
ุจูููุนุด ุงุญูู ุงุฑุจุนูู ุฒู ุงุชูู ุนูู ุงุชูู ุชุทูุน ุชูุงุชูู ูู |
|
|
|
94 |
|
00:08:04,570 --> 00:08:10,370 |
|
ุงูู
ูููุงุ ู
ุธุจูุทุ ูุฃูู ู
ุด ุฒู ุจุนุถุ ุงู samples ู
ุด ุฒู |
|
|
|
95 |
|
00:08:10,370 --> 00:08:16,300 |
|
ุจุนุถุ ูุนูู ุจูููุนุด ุงุทูุน ุฎูููู ุงุญูููุฐุง 35 ุจุณ ุงุบูุฑู |
|
|
|
96 |
|
00:08:16,300 --> 00:08:25,520 |
|
ุนุดุงู ูุนุฑู ูุญุณุจ ุฎููููุง 35 ูููุณ ู
ุงููุนุด ุงุญูู ุทุงูุน ุงู |
|
|
|
97 |
|
00:08:25,520 --> 00:08:32,900 |
|
B1 ุทูุจ B1 ุดู ุณุงููุ X1 over N1 ู
ุด ููุ ุงููู 50% ู B2 |
|
|
|
98 |
|
00:08:32,900 --> 00:08:42,580 |
|
ุงููู 4 ุนูู 100 ูุนูู 0.4 ู
ุงููุนุด ุงุญุณุจ ุงู B1 ููููุงูู |
|
|
|
99 |
|
00:08:42,580 --> 00:08:47,880 |
|
B' ูููู ู
ุฌู
ูุน ุงูุงุชููู ูุฏูู ุนูู ุงุชููู ูุนูู ู
ุงููุนุด |
|
|
|
100 |
|
00:08:47,880 --> 00:08:51,200 |
|
ุงุญูู ุงู ุงูู B' ูุณุจุฉ ุงูุทูุจุฉ ุงููู ุจููุถู ุงู |
|
|
|
101 |
|
00:08:51,200 --> 00:08:56,860 |
|
statistics course ุจุชุณุงูู ุงุฑุจุนูู ูู ุงูู
ูุฉ ุฒุงุฆุฏ ุงู |
|
|
|
102 |
|
00:08:56,860 --> 00:09:00,800 |
|
fifty ุนูู ุงุชููู ุนูู point four five ูุฐุง ุงูููุงู
ููู |
|
|
|
103 |
|
00:09:00,800 --> 00:09:06,720 |
|
ู
ุด ุตุญูุญ ููุนุฑู ูู ุญุงูุฉ ู
ุนููุฉ ู
ู
ูู ูููู ุตุญูุญ ุทุจ ุงูุด |
|
|
|
104 |
|
00:09:06,720 --> 00:09:10,250 |
|
ุงู bold estimate ุงููู ูู
ููู overall proportion |
|
|
|
105 |
|
00:09:10,250 --> 00:09:15,910 |
|
ูุนุทุงูู ูุนูู ุงูู B' ุนุจุงุฑุฉ ุนู ุงูุด number of students |
|
|
|
106 |
|
00:09:15,910 --> 00:09:20,890 |
|
who prefer this course either males and females |
|
|
|
107 |
|
00:09:20,890 --> 00:09:24,650 |
|
divided by number of males plus number of females |
|
|
|
108 |
|
00:09:24,650 --> 00:09:32,550 |
|
so for this specific example there are 35 males |
|
|
|
109 |
|
00:09:32,550 --> 00:09:39,930 |
|
and 40 females like this courseSo 35 plus 40 |
|
|
|
110 |
|
00:09:39,930 --> 00:09:45,150 |
|
divided by N1 plus N2 N1 is seventy plus a hundred |
|
|
|
111 |
|
00:09:45,150 --> 00:09:51,650 |
|
ุจุทูุน ุฎู
ุณุฉ ู ุณุจุนูู ุนูู ู
ูุฉ ู ุนุดุฑุฉ ูุฐุง |
|
|
|
112 |
|
00:09:51,650 --> 00:09:54,050 |
|
ุงู exact proportion ุฎู
ุณุฉ ู ุณุจุนูู ุนูู ู
ูุฉ ู ุนุดุฑุฉ |
|
|
|
113 |
|
00:09:54,050 --> 00:10:02,430 |
|
ุนูู ู
ูุฉ ู ุณุจุนูู ุชุทูุน ุงุฑุจุน ู
ู ุนุดุฑุฉ ุชุทูุน ุงุฑุจุน ู
ู |
|
|
|
114 |
|
00:10:02,430 --> 00:10:07,070 |
|
ุนุดุฑุฉ ุจุงูุธุจุท ููุง ุจุฏูุง ุดู
ูุฉ ุทูุจ ู ุงูุงุฑุจุน ู
ูุฒู ุงุฑุจุน |
|
|
|
115 |
|
00:10:07,070 --> 00:10:13,420 |
|
ู
ู ุนุดุฑุฉุจุทูุน 44 ูุญุธุฉ |
|
|
|
116 |
|
00:10:13,420 --> 00:10:16,440 |
|
ุงููู ููููุง ุงุด ุทูุนุช 45 ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
117 |
|
00:10:16,440 --> 00:10:17,060 |
|
ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
118 |
|
00:10:17,060 --> 00:10:17,340 |
|
ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
119 |
|
00:10:17,340 --> 00:10:17,980 |
|
ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
120 |
|
00:10:17,980 --> 00:10:19,560 |
|
ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
121 |
|
00:10:19,560 --> 00:10:19,960 |
|
ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
122 |
|
00:10:19,960 --> 00:10:29,960 |
|
ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู ุงุชููู |
|
|
|
123 |
|
00:10:29,960 --> 00:10:32,460 |
|
ุงุชููู |
|
|
|
124 |
|
00:10:35,930 --> 00:10:39,870 |
|
ุงูู 70 ู
ูููู ูุงูู 70 ู
ูููู ููุง ูุฌู
ุงุนุชูู
ุจูููุน ุฎูุงุต |
|
|
|
125 |
|
00:10:39,870 --> 00:10:42,830 |
|
ูุชุจููุง ููุณ ุงูุจุนุถ ููู ูู ุนู ุงู different sample |
|
|
|
126 |
|
00:10:42,830 --> 00:10:46,850 |
|
sizes the bold estimate for the overall proportion |
|
|
|
127 |
|
00:10:46,850 --> 00:10:50,430 |
|
is given by this equation just some of the |
|
|
|
128 |
|
00:10:50,430 --> 00:10:54,950 |
|
outcomes of interest ุฃูุง ู
ูุชู
ุจุงูุทูุจ ุงููู ุจู .. |
|
|
|
129 |
|
00:10:54,950 --> 00:10:58,210 |
|
ุงููู ุจูุญุจ class ุงู statistics ุนูู ุงู total sample |
|
|
|
130 |
|
00:10:58,210 --> 00:11:01,690 |
|
size ุฎูุงุต ูุฐุง ุงููุงููู ุงูุฌูุฏ ุจุงููุณุจุงูู ููุง ูุณู
ูู ุงู |
|
|
|
131 |
|
00:11:01,690 --> 00:11:05,960 |
|
.. ุงู bold estimate ุฒู ู
ุง ุฃุฎุฏูุง ู
ูู ูุจู ูููุงูู |
|
|
|
132 |
|
00:11:05,960 --> 00:11:08,800 |
|
pool variance ุชุฐูุฑ ู
ุง ูุงูุช ุงูู two samplesุ ุทูุนูุง |
|
|
|
133 |
|
00:11:08,800 --> 00:11:14,420 |
|
ุงู pool variance ุงููุงููู ุชุจุนูุ ูุฐุง ููุณ ุงูุดูุก ุงูุงู |
|
|
|
134 |
|
00:11:14,420 --> 00:11:23,520 |
|
ุงู Z statistic ุงููู ุนูุฏูุง ุงู Z star ุดููู ู
ุด ุญูู |
|
|
|
135 |
|
00:11:23,520 --> 00:11:30,120 |
|
ุงูุดูุก ุดูู ุงููุงููู ูุฐุง ุงููุงููู ุจูุดุจู ุจุงูุธุจุท ุงู Z |
|
|
|
136 |
|
00:11:30,120 --> 00:11:35,740 |
|
score ุงููู ุฃุฎุฏูุง ุดุฑุจุฑ 3ุงูุงู ุฏุฑุฌุฉ ุนูู ุดุทุฑ 3 ุฎุงูุต ุงู |
|
|
|
137 |
|
00:11:35,740 --> 00:11:40,220 |
|
Z ูุงู ุนุจุงุฑุฉ ุนู ุงูุด ุงู X minus ุงู mean ุชุจุนู ู
ุด ุงู |
|
|
|
138 |
|
00:11:40,220 --> 00:11:43,460 |
|
mean ุชุจุนู ุนูู ุงู standard deviation ุงููู ูู ู
ุธูุฑ |
|
|
|
139 |
|
00:11:43,460 --> 00:11:49,000 |
|
ูุฐุง ุงูุฃุณุงุณ ุงููู ูู ุงู X ููุต X ุจุงุฑ ุนูู S ู
ุด ููู |
|
|
|
140 |
|
00:11:49,000 --> 00:11:54,660 |
|
ุฎุฏูุง ุดุทุฑ 3 ุงููู ุจุญูู ุนูู ุงูููู
ูู ููุณู ุจุณ ู
ุนุงู |
|
|
|
141 |
|
00:11:54,660 --> 00:11:58,140 |
|
ุงุฎุชูุงู ุงูุด ุงููู ุงูุง ุนุงูุฒู ุงูุง ุนุงูุฒ ุงู Z stat ูู
ูู |
|
|
|
142 |
|
00:12:00,760 --> 00:12:06,100 |
|
ุงูู difference ุงููู ูู P1-P2ุ ูุฐุง ุงูู X ุชุจุนุชู |
|
|
|
143 |
|
00:12:06,100 --> 00:12:10,580 |
|
ูุญุงูููุง ุฃู ุชููููุง ุชุจุนุฏ X ููุต 100 ุนูู ุงูู Sigmaุ ู
ุด |
|
|
|
144 |
|
00:12:10,580 --> 00:12:16,720 |
|
ููุ ููุตุ ุทูุจุ ุฅูุด ุงูู mean ูู ุฏูู ู
ู ุงูุฃุตู P1-P2ุ |
|
|
|
145 |
|
00:12:16,720 --> 00:12:21,740 |
|
ูุฐุง ุงูุฃุตู ุชุจุนูุง ุงููู |
|
|
|
146 |
|
00:12:21,740 --> 00:12:25,840 |
|
ุชุญุช ุงูู standard deviation ุงูู standard deviation |
|
|
|
147 |
|
00:12:25,840 --> 00:12:37,340 |
|
ูู ุงููุฑู ุชุจุนู P-1-P-Hุฃู ุจู ุฏุงุด ุจู ุฏุงุด ุจู |
|
|
|
148 |
|
00:12:37,340 --> 00:12:41,640 |
|
ุฏุงุด |
|
|
|
149 |
|
00:12:41,640 --> 00:12:43,140 |
|
ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด |
|
|
|
150 |
|
00:12:43,140 --> 00:12:43,180 |
|
ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด |
|
|
|
151 |
|
00:12:43,180 --> 00:12:43,260 |
|
ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด |
|
|
|
152 |
|
00:12:43,260 --> 00:12:43,300 |
|
ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด |
|
|
|
153 |
|
00:12:43,300 --> 00:12:43,720 |
|
ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด |
|
|
|
154 |
|
00:12:43,720 --> 00:12:59,620 |
|
ุจู ุฏุงุด ุจู ุฏุงุด ุจู ุฏุงุด ุจู |
|
|
|
155 |
|
00:13:00,030 --> 00:13:04,530 |
|
ุงููู ุฃุฎุฏูุงูุง ูู chapter 9 .. ุฃู chapter 10 ูุงูุช X1 |
|
|
|
156 |
|
00:13:04,530 --> 00:13:08,590 |
|
bar minus X2 bar ู
ุด ููู ุงู difference between two |
|
|
|
157 |
|
00:13:08,590 --> 00:13:14,970 |
|
population proportions minus ู
ูู ุงูุฃุตู ุชุจุนูู
ู
ุธุจูุท |
|
|
|
158 |
|
00:13:14,970 --> 00:13:20,170 |
|
ุงููู ุฃุฎุฏูุง ููุงู ุญุงูุชูู ูู
ุง ูููู ุงู variances are |
|
|
|
159 |
|
00:13:20,170 --> 00:13:23,490 |
|
unknown but we assume they are equal ุฃุฎุฏูุง ุงู bold |
|
|
|
160 |
|
00:13:23,490 --> 00:13:26,970 |
|
ุชุจุนูู
ู
ุด ููู ูุฐุง ุงู bold ูู ูุฐุง ุงู bold ุงููู ููุง |
|
|
|
161 |
|
00:13:26,970 --> 00:13:29,410 |
|
ู
ุธุจูุท |
|
|
|
162 |
|
00:13:30,020 --> 00:13:39,040 |
|
ุงููู ูู bold variance ูุงู SยฒB ุจุนุฏูู ููุณ ุงู .. ูุฃ |
|
|
|
163 |
|
00:13:39,040 --> 00:13:42,920 |
|
ู
ุงููุด ุทุฑู ุจุงูุงุชููู ุงุฎุชูู ุจุณ ุงูุง ุจุชููู
ููุงู ุนูู |
|
|
|
164 |
|
00:13:42,920 --> 00:13:48,360 |
|
means ููุง proportions ูุงูู
ูุงู
ููุฎุชูู ููููู ุงู bold |
|
|
|
165 |
|
00:13:48,360 --> 00:13:52,260 |
|
variance ูู ุงููู ููููู ุงู bold S proportion ุจP' |
|
|
|
166 |
|
00:13:52,620 --> 00:13:58,720 |
|
times 1-P'ุฎูุงุต ุทุจุนุง ุงู b' ูู ูุงูููู ู ูู b1 ู ูู |
|
|
|
167 |
|
00:13:58,720 --> 00:14:04,380 |
|
b2 ุงูุง ูู ุงูุงู
ุชุญุงูุงุช ุจุนุทูู ุงูุตูุญู ูุฐู ุจุงููุงู
ู |
|
|
|
168 |
|
00:14:04,380 --> 00:14:09,920 |
|
ูุงููู ูุฐุง ู b' ู b1 ู b2 ุฎูุงุต ูุนูู ูู ุงูุงู
ุชุญุงูุงุช |
|
|
|
169 |
|
00:14:09,920 --> 00:14:13,600 |
|
ุชุจุนูู
ุงูุชูุงุชุฉ ุงู ุดุงุก ุงููู ุจุนุทูู formula sheet ุงูู |
|
|
|
170 |
|
00:14:13,600 --> 00:14:14,780 |
|
chapter 9 ู chapter 10 |
|
|
|
171 |
|
00:14:21,690 --> 00:14:25,130 |
|
ูุฏูู ุงููู ุญููุช ุนูููู
ุงู lower tail ู upper tail ู |
|
|
|
172 |
|
00:14:25,130 --> 00:14:30,650 |
|
two-tailed test ุฎูุงุต ุดูู ุงูุจุงุนุฏูุง ุงูุงู ุงูู
ูุทูุฉ |
|
|
|
173 |
|
00:14:30,650 --> 00:14:35,510 |
|
ุงููู ููุง ุจุชุญุฏุฏ ุงู rejection regions ูู ููุช ุนูุฏู |
|
|
|
174 |
|
00:14:35,510 --> 00:14:38,350 |
|
two-tailed test ูู ููุช ุนูุฏู two rejection regions |
|
|
|
175 |
|
00:14:38,350 --> 00:14:42,270 |
|
ุฅุฐุง ูุงู ุนูุฏู level of significance Alpha Alpha |
|
|
|
176 |
|
00:14:42,270 --> 00:14:45,490 |
|
ุชุชุฌุณู
Alpha over two to the right Alpha over two |
|
|
|
177 |
|
00:14:45,490 --> 00:14:49,890 |
|
to the left ููู ู
ุฌู
ูุญ ู
ู Alphaููููู ุฅุฐุง ููู
ุฉ |
|
|
|
178 |
|
00:14:49,890 --> 00:14:53,430 |
|
ุงูู
ูุงุฑูุฉ ุชุชุฎูุต ู
ู ู
ูุงุฑูุฉ ุงูู Rejection Region ู
ุน |
|
|
|
179 |
|
00:14:53,430 --> 00:14:59,250 |
|
ูุฏู ุงูู Z ููุง ูุนูู Z ุฃูุชุฑ ู
ู Z ุฃูู ุฃูุชุฑ ู
ู 2 ุฃู ูู |
|
|
|
180 |
|
00:14:59,250 --> 00:15:02,750 |
|
ุงูู
ูุทูุฉ ุงูุชุงููุฉ ุฃูู ู
ู ููู Z ุฃูู ุฃูุชุฑ ู
ู 2 ุงูููุงู
|
|
|
|
181 |
|
00:15:02,750 --> 00:15:05,850 |
|
ุงููู ุฃุฎุฏูุงู ูู ุงูุฃูู ูู ููุทุฉ ุชุณุนุฉ ู
ูุฑุฑุ ูุฐุง ุงูู |
|
|
|
182 |
|
00:15:05,850 --> 00:15:10,150 |
|
slide ูู ููุณูุ ุจุณ ููุง ุนูู ุงูู Proportions ุงูู |
|
|
|
183 |
|
00:15:10,150 --> 00:15:13,210 |
|
Upper tail ูููู ุนูุฏู just one rejection region to |
|
|
|
184 |
|
00:15:13,210 --> 00:15:16,530 |
|
the right side ููููู ุฅุฐุง ููู
ุฉ ุงูู
ูุงุฑูุฉ ุชุชุฎูุต ู
ู |
|
|
|
185 |
|
00:15:16,530 --> 00:15:22,240 |
|
ู
ูุงุฑูุฉูุฐุง ูุนูู ุฃู Z-Stat ุฃูุจุฑ ู
ู Z-Alpha ูุฅุฐุง ููุง |
|
|
|
186 |
|
00:15:22,240 --> 00:15:26,280 |
|
ูุชุญุฏุซ ุนู ุชูุชุงุช ุฃุณููุ ุฃุนูู ุฅูู ุงูุฌูุฉ ุงููุณุงุฑุฉุ ุซู
|
|
|
|
187 |
|
00:15:26,280 --> 00:15:29,880 |
|
ููุฌุญ ุฅุฐุง ูุงูุช ุชุงุฑูุฎ Z ูุณูุท ูู ูุฐู ุงูู
ูุทูุฉ |
|
|
|
188 |
|
00:15:29,880 --> 00:15:34,660 |
|
ุงูุชููููุฉุ ููุฐุง ูุนูู ุฃู Z-Stat ุฃูู ู
ู ููู Z-Alphaุ |
|
|
|
189 |
|
00:15:34,660 --> 00:15:43,860 |
|
ูุงูุชุจู ุฅูู ูุฐุง ุงูููู
ุฉุฃู ููู ููู
ุฉ ุงูู Alpha ููุท ู
ุน |
|
|
|
190 |
|
00:15:43,860 --> 00:15:48,800 |
|
ุตููุฉ ุนูุณูุฉ ูุฐู ููุฌุงุชูู ูุงูุชุงูู ูุชููู positive ุฅุฐุง |
|
|
|
191 |
|
00:15:48,800 --> 00:15:58,280 |
|
ููุง ูุชููู
ุนู 5% Alpha 5 ูููู
ุชู ูู ููุฌุงุชูู 1.645 |
|
|
|
192 |
|
00:15:58,280 --> 00:16:04,520 |
|
ููุฐุง ูู ููุณู ูุฐุง |
|
|
|
193 |
|
00:16:04,520 --> 00:16:12,710 |
|
ุตุญูุญ ูู Alpha5% and for two sided test the alpha |
|
|
|
194 |
|
00:16:12,710 --> 00:16:17,250 |
|
over two ุงูุด ุจุชุณุงูู ููุง one point nine six |
|
|
|
195 |
|
00:16:17,250 --> 00:16:22,230 |
|
negative one nine six ูุงุญุธ ููุณ ุงูููู
ุจุณ ุงูุงุฎุชูุงู |
|
|
|
196 |
|
00:16:22,230 --> 00:16:25,490 |
|
ุงูุด positive or negative that's two if alpha |
|
|
|
197 |
|
00:16:25,490 --> 00:16:30,970 |
|
equals five percent questions ุงู ุณุคุงู ูุญุธุฉ ููู |
|
|
|
198 |
|
00:16:30,970 --> 00:16:36,030 |
|
ู
ูุฑุฑ ุงูุชูุง ู
ููุชู ู
ูู ู
ุด ูู ุจุชุนุฑููุง ุงุฒุงู ููู ูุงุญุฏ |
|
|
|
199 |
|
00:16:36,030 --> 00:16:41,790 |
|
ุจูุจูู ุนู
ุงุฑุฉ ููุงุจูุฃุณุณ .. ุจุนุฏูู ุจูุจุฏุฃ .. ุงูุฃุณุงุณ |
|
|
|
200 |
|
00:16:41,790 --> 00:16:46,330 |
|
ุชุจุนูุง chapter 3 ูู ุฃูู chapter ู chapter 6 ุจุนุฏูู |
|
|
|
201 |
|
00:16:46,330 --> 00:16:51,030 |
|
ุจุนุฏูู ุจูุตูุฑ ู
ูุฑุฑ ู
ุธููู
ุทุงุจู ู
ูุฑุฑ ุชุงูู ุฒู ุงูุชุงูู ุฒู |
|
|
|
202 |
|
00:16:51,030 --> 00:16:54,350 |
|
ุงูุฑุงุจุน ุงููู ุฌุงู ุชุจูู ุญุฏ ู
ุง ูุฎูุต ูุจุงูุชุงูู ุงูุฌุซุฉ |
|
|
|
203 |
|
00:16:54,350 --> 00:16:58,910 |
|
ุตุงุฑุช ู
ูููู
ุฉ ุนุดุงู ูุฏู ูู ุงุณุชูุนุจุช ุงู basic |
|
|
|
204 |
|
00:16:58,910 --> 00:17:01,830 |
|
principles ุงููู ุญูููุง ุนูููุง ูู chapter 3 ู chapter |
|
|
|
205 |
|
00:17:01,830 --> 00:17:06,880 |
|
6ู
ู
ูู ุชููู ุจุงููุณุจุงูู ุณููุฉ ุจุนุฏูู ููุจูู ุชุดุจุท ุชุณุนุฉ |
|
|
|
206 |
|
00:17:06,880 --> 00:17:11,160 |
|
ุฃูู ู ุจุนุฏูู ุชุตูุฑ ุนู
ููุฉ ุชุชูุฑุฑ ุนุดุงู ูุฏู ูุญุธุฉ ุจุดูู |
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207 |
|
00:17:11,160 --> 00:17:15,920 |
|
ุนุงู
ุฅุฐุง ุทุงูุน ูุงูู
ูุง ุฎูุงุต ุชุตูุฑ ุงูุนู
ููุฉ ุจุงููุณุจุงูู |
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208 |
|
00:17:15,920 --> 00:17:26,000 |
|
ุณููุฉ ูุงุฎุฏ example ุฑูุฒูู ูุงุญุฏุฉ ูุงุญุฏุฉ example ุณูู |
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209 |
|
00:17:32,900 --> 00:17:38,320 |
|
ุจุญูู is there a significant difference between the |
|
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210 |
|
00:17:38,320 --> 00:17:42,000 |
|
proportion of men and the proportion of women ูุญุธุฉ |
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211 |
|
00:17:42,000 --> 00:17:49,120 |
|
ุงู keywords ููู
ุซูุฉ ู
ูู
ุฌุฏุง ุฃุนุฑููุง ู
ูุงุชูุญ ุงูุณุคุงู ูู |
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212 |
|
00:17:49,120 --> 00:17:54,840 |
|
ุจุนุถ ุงูููู
ุงุช ุจุชุณู
ููุง ููู
ุงุช ู
ูุชุงุญูุฉ ุงู keywords ู
ู |
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213 |
|
00:17:54,840 --> 00:17:58,300 |
|
ุฎูุงููุง ุจุงุนุฑู ุฅูุด ุงููุงููู ูุณุชุฎุฏู
ูุง ูุฅู ุฃูุง ูู |
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214 |
|
00:17:58,300 --> 00:18:02,330 |
|
ุงูุงูุชุญุงุฑ ุจุนุทูู ููุฑู
ุงูุงุดูุงุช ุจุณ ุจุญููุด ูููุฐุง ุงููุงููู |
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215 |
|
00:18:02,330 --> 00:18:05,150 |
|
ูุณุคุงู ุชูุงุชุฉ ู ูุฐุง ุงููุงููู ูุณุคุงู ุฃุฑุจุนุฉ ุจุฃุนุทูู ุฅูุงูู
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216 |
|
00:18:05,150 --> 00:18:11,730 |
|
ุนูู ุจุนุถ ู ุฃูุช ูุญุงูู ุชุฎุชุงุฑ ูู
ูู ูููู ูููู
ุฒูุงุฏุฉ ุจุณ |
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217 |
|
00:18:11,730 --> 00:18:14,670 |
|
ู
ุงููุด ููุต ูููู
ูู
ูููู
ู
ูุฌูุฏุฉ ุจุงูุชุงูู ุงู keywords |
|
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|
218 |
|
00:18:14,670 --> 00:18:20,790 |
|
ุจุชุงุนุชู ู
ู ุงูู
ุซู ููุณู ู ุนูู ุฅูุด ุจูุญููุ ุจูุญูู ุนูู |
|
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|
219 |
|
00:18:20,790 --> 00:18:24,450 |
|
difference ุฃูู ู
ุง ุจูุญูู ุนูู difference ู
ุน ูุฏู ู
ุด |
|
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|
220 |
|
00:18:24,450 --> 00:18:29,430 |
|
one sample ุฃููุฏ two samples ููู ูู ูู
ุง means ู ูุง |
|
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|
221 |
|
00:18:29,430 --> 00:18:33,850 |
|
proportionsุ ูุญูููู ุจุชูุถูุญูุนูู specific words |
|
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|
222 |
|
00:18:33,850 --> 00:18:37,090 |
|
between the proportion ุจุชููู
ูุง ุนูู proportion |
|
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|
223 |
|
00:18:37,090 --> 00:18:39,990 |
|
ุงูุชูุช ุงููุตุฉ ู
ุง ุงูุง ูุฏู ุงูุง ุจุนุทูู ุงู formula ุดูุช ู |
|
|
|
224 |
|
00:18:39,990 --> 00:18:46,750 |
|
ุณูุงู
ุชู ูุชุทูุนู ุนูู ุงููุงููู ุชุจุน ุงู proportions ูุงุถุญุ |
|
|
|
225 |
|
00:18:46,750 --> 00:18:50,930 |
|
ุฅุฐุง ุตุงุฑ ูุฅู ูุต ุงูุณุคุงู ุงูุญู ุทุงูู
ุง ูุนุฑูุช ุงููุงููู |
|
|
|
226 |
|
00:18:50,930 --> 00:18:56,930 |
|
ุงูุตุญู ุทุจุนุง of men and proportion of women ูู ุงู |
|
|
|
227 |
|
00:18:56,930 --> 00:19:01,400 |
|
vote yes ูู ุดุฎุต ุฅู
ุง ุจูุญูู ูุนู
ุฃู ุจูุญูู ูุงุทุงูู
ุง |
|
|
|
228 |
|
00:19:01,400 --> 00:19:04,060 |
|
ุฃุชููู
ูุนู
ูู ูุนูู qualitative data ู
ุน ูุฏู ุนูุฏู |
|
|
|
229 |
|
00:19:04,060 --> 00:19:08,640 |
|
proportions ุจูู ุชุฃููุฏ on a proposition A ูู |
|
|
|
230 |
|
00:19:08,640 --> 00:19:12,660 |
|
ุงูุชุฎุงุจุงุช ุจุฏู ุฃูุฏ party one ู party two ู
ูุชุฑุถ ุงู |
|
|
|
231 |
|
00:19:12,660 --> 00:19:16,480 |
|
two parties ูุงุญุฏุฉ ู ุงูุชุงููุฉ ู
ู
ูู ุฃูุฏ ูุตูู A ู |
|
|
|
232 |
|
00:19:16,480 --> 00:19:20,900 |
|
ุงูุชุงููุฉ ุฃูุฏ ูุตูู B ู ููุฐุง in a random sample ุฃุฎุฏ |
|
|
|
233 |
|
00:19:20,900 --> 00:19:27,670 |
|
ุนููุฉ ูุดููุฉ 36 of 70 menูุญุธุฉุ ุงุด ุจูุญูู .. ุณุชุฉ ู |
|
|
|
234 |
|
00:19:27,670 --> 00:19:30,550 |
|
ุชูุงุชูู ู
ู ุงุชููู ู ุณุจุนุฉ ุฑุงุฌู and thirty-five of |
|
|
|
235 |
|
00:19:30,550 --> 00:19:35,250 |
|
fifty women indicated they would vote yes ูุนูู |
|
|
|
236 |
|
00:19:35,250 --> 00:19:44,190 |
|
ุงููู ุจุฏูู ูุญูู ูุนู
ููู ุฃูุฏููุนููุ men ู women ุงูู
ู |
|
|
|
237 |
|
00:19:44,190 --> 00:19:52,250 |
|
ูุงูุช ุฅูุด ุนุฏุฏูู
ุ seventy-two ููุงู ูุงุญุฏ ุญูู yesุฃูุง |
|
|
|
238 |
|
00:19:52,250 --> 00:19:56,490 |
|
ู
ูุชู
ุจุงูู 36 ูุฏููุ ุงูู 36 of men voted yes ูุฃู |
|
|
|
239 |
|
00:19:56,490 --> 00:20:02,390 |
|
proposition ูุนูู ู ุงู women ูุงููุง ูุงุญุฏุฉ ุฎู
ุณูู |
|
|
|
240 |
|
00:20:02,390 --> 00:20:08,070 |
|
ู ูุญุงูุฉ ูุนู
35 ุฅุฐุง ุฃูุง ุฃุฎุฏุช ุงู data ู
ู ููุง ู ูุงุถุญ |
|
|
|
241 |
|
00:20:08,070 --> 00:20:16,410 |
|
ููู ูุฑุฃุชูุง ูุจุญูู test at a five percent level of |
|
|
|
242 |
|
00:20:16,410 --> 00:20:19,930 |
|
significance if there is ูู ุจูุณุฃู ุงูุณุคุงู ุงููุฌูู is |
|
|
|
243 |
|
00:20:19,930 --> 00:20:23,290 |
|
there a significant differenceูุนูู ู
ุง ุฃููุฏ ูู |
|
|
|
244 |
|
00:20:23,290 --> 00:20:25,790 |
|
ูุฏุจุชูุง ุจุฅู ุงููู hypothesis ุฃููุฏ ฯุงู ูุงู equal ุจุงู |
|
|
|
245 |
|
00:20:25,790 --> 00:20:30,750 |
|
ุชูู ุงู ุฅุฐุง ู
ุง ุญููุช ุจุงู ูุงู minus ุจุงู ุชูู is dot |
|
|
|
246 |
|
00:20:30,750 --> 00:20:36,010 |
|
zero sorry equals zero equals |
|
|
|
247 |
|
00:20:36,010 --> 00:20:39,370 |
|
zero ุทุจ ุงู alternate ุฅูุด ูููููุ ููุง ูู ุงูู
ุซูุฉ |
|
|
|
248 |
|
00:20:39,370 --> 00:20:43,670 |
|
ู
ุงุญูุงุด ุฃูู ุงูุฃูู ุฃุนูู ุฃู ุงูุฃูู ุฃูู ุจูุญูู ูู ูู ูุฑู |
|
|
|
249 |
|
00:20:43,670 --> 00:20:50,370 |
|
ููุง ูุฃุ ู
ุง ุฃููุฏ ูุงุช two sided ููุง one sidedุุทุจุนุง |
|
|
|
250 |
|
00:20:50,370 --> 00:20:53,870 |
|
ุงูุงุชุฌุงู ู
ุด ูุงุถุญ ู
ุงุญูุงุด increases ุงู decreases ุงู |
|
|
|
251 |
|
00:20:53,870 --> 00:20:56,530 |
|
smaller ุงู greater ุงู ุงูุง ุจุญูู there is a |
|
|
|
252 |
|
00:20:56,530 --> 00:20:59,510 |
|
difference ุจุณ ู
ุน ูุฏู by one does not equal by two |
|
|
|
253 |
|
00:20:59,510 --> 00:21:06,370 |
|
ุงุฐุง ู
ุนูุงู ุงู by one minus by two is not zero ุงูุง |
|
|
|
254 |
|
00:21:06,370 --> 00:21:12,570 |
|
ุฃุฎุฏุช ุงูู
ุนููู
ุฉ ู
ู ูููุ ู
ู ุงูุณุคุงู ููุณู ูุจุญูู |
|
|
|
255 |
|
00:21:12,570 --> 00:21:15,170 |
|
is there a difference ุงู significant difference |
|
|
|
256 |
|
00:21:15,170 --> 00:21:16,230 |
|
between the proportion |
|
|
|
257 |
|
00:21:19,070 --> 00:21:23,470 |
|
ุฅุฐุง ูุฐู ุงูุฃููู ู
ุนูุงูุง by one minus by two equals |
|
|
|
258 |
|
00:21:23,470 --> 00:21:29,270 |
|
zero ุงูู
ุนูุงู ุฏู two proportions are equal we are |
|
|
|
259 |
|
00:21:29,270 --> 00:21:32,150 |
|
testing this null hypothesis against alternate |
|
|
|
260 |
|
00:21:32,150 --> 00:21:35,910 |
|
hypothesis by one minus by two is not zero this |
|
|
|
261 |
|
00:21:35,910 --> 00:21:39,350 |
|
means there is significant difference between the |
|
|
|
262 |
|
00:21:39,350 --> 00:21:45,050 |
|
proportions ุจุนุฏ ู
ุง ุฃุนู
ู ุญุณุงุจุงุชู ุงูุญุณุงุจุงุช ุงูุนุงุฏูุฉ |
|
|
|
263 |
|
00:21:45,050 --> 00:21:49,720 |
|
ุจุชุทูุน ุงู proportion ู ุงู min ุงููู ุญููุง ูุนู
ุงููู ูู |
|
|
|
264 |
|
00:21:49,720 --> 00:22:00,000 |
|
x1 over n1 ุงููู ูู 36 over 72 ูุฐู 50% ุงู |
|
|
|
265 |
|
00:22:00,000 --> 00:22:07,440 |
|
proportion ูู women who voted yes is x2 over n2 35 |
|
|
|
266 |
|
00:22:07,440 --> 00:22:14,960 |
|
ุนูู 50 70% ุดูููุง ุฒู ู
ุง ุญููุช ู
ู ุงูุฃูู ู
ููุนุด ุฃุทูุน ุงู |
|
|
|
267 |
|
00:22:14,960 --> 00:22:17,360 |
|
B' ุฃุฌู
ุญูู
|
|
|
|
268 |
|
00:22:18,980 --> 00:22:23,600 |
|
ู ุงุฌุณู
ูุง ุงุชููู ูุนูู ุณุชุฉ ู
ู ุนุดุฑ ูู ุฏู ู
ุด ุตุญ ุญุชู ูุฅู |
|
|
|
269 |
|
00:22:23,600 --> 00:22:26,660 |
|
ูุงูุช ูุฑูุจุฉ ููููู
ุฉ ุงููู ุงูุง ุนุงูุฒูุง ููุดุ ูุฃู ุงู |
|
|
|
270 |
|
00:22:26,660 --> 00:22:31,180 |
|
sample sizes ู
ุงููู
ุฒู ุจุนุถ ูู ุฒู ุจุนุถ ุงูุง ู
ุงููุด |
|
|
|
271 |
|
00:22:31,180 --> 00:22:35,860 |
|
ู
ุดููุฉ ูุจุทูุน ุงู bold estimate for the overall |
|
|
|
272 |
|
00:22:35,860 --> 00:22:42,660 |
|
proportion ูู B' ููู X1 plus X2 over N1 plus N2 |
|
|
|
273 |
|
00:22:45,810 --> 00:22:55,350 |
|
Lix is 35 and 70 sorry 71 the total over n1 plus |
|
|
|
274 |
|
00:22:55,350 --> 00:23:05,270 |
|
n2 is 72 plus 50 is 122 ู
ุฌุฑุณ ู
ูุงุญุณ ุจูู 122 ูู 958 |
|
|
|
275 |
|
00:23:05,270 --> 00:23:08,590 |
|
ูุฐู |
|
|
|
276 |
|
00:23:08,590 --> 00:23:12,750 |
|
ุงูู exact proportion ูุฐู ู
ุด ุนุงูุฒูููุง |
|
|
|
277 |
|
00:23:16,610 --> 00:23:20,370 |
|
ุฃูุง ุจุนู
ู computations, calculations ุนุดุงู ุฃุณุชุทูุน ุงู |
|
|
|
278 |
|
00:23:20,370 --> 00:23:26,970 |
|
Z statistic ุงููู ููุง just plug these values into |
|
|
|
279 |
|
00:23:26,970 --> 00:23:33,290 |
|
this formula to get the value of Z statistic ูZ |
|
|
|
280 |
|
00:23:33,290 --> 00:23:38,530 |
|
ูุชุณุงูู ุจู ูู ุฏุงุดุช |
|
|
|
281 |
|
00:23:38,530 --> 00:23:41,150 |
|
ู
ุงูุณ ุจู ุชูุฏุง ุจู ูู ุงู ุจู ูู just ุจู ูู |
|
|
|
282 |
|
00:23:45,420 --> 00:23:54,280 |
|
ุจ1.5-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0 |
|
|
|
283 |
|
00:23:54,280 --> 00:23:57,860 |
|
.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7 |
|
|
|
284 |
|
00:23:57,860 --> 00:23:58,000 |
|
-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0 |
|
|
|
285 |
|
00:23:58,000 --> 00:24:00,980 |
|
.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7 |
|
|
|
286 |
|
00:24:00,980 --> 00:24:02,360 |
|
-0.7-0.7-0.7-0.7-0.7-0.7 |
|
|
|
287 |
|
00:24:15,590 --> 00:24:24,650 |
|
ุซู
ุชุฒูุฏ ู
ู 1 ุนูู N1 ููู 72 plus 1 over 50 ุงููู |
|
|
|
288 |
|
00:24:24,650 --> 00:24:30,050 |
|
ูู
ุง ุชูุฌู ุชุญุณุจ ุงูุญุณุงุจุงุช ุจุฏุฃ ุดููู ุงูุตุจุฑ ุชุญุณุจ ูู |
|
|
|
289 |
|
00:24:30,050 --> 00:24:35,650 |
|
ุงูุฃูู ุงูู
ูุงู
ุชุงุฎุฏ ุงู square root ุชูุณูุด ุงู square |
|
|
|
290 |
|
00:24:35,650 --> 00:24:39,590 |
|
root ุจุนุฏูู ุชุฌุณู
ุงููุฑู ุงููู ููุง ุนูู ุงู square root |
|
|
|
291 |
|
00:24:39,590 --> 00:24:47,250 |
|
ูู ุฃุดุชุบูุช ุตุญ ุงู job negative2.1 ุฏุงูู
ุง ูููู ููุง |
|
|
|
292 |
|
00:24:47,250 --> 00:24:51,590 |
|
index sense ููุฅุฌุงุจุฉ ุงููู ุจุชุทูุน ูุนูู ุงู proportion |
|
|
|
293 |
|
00:24:51,590 --> 00:24:55,890 |
|
ุฃููู 50 ูุงูุชุงูู ุงู 70 ุฃููุฏ ุงูุฌูุงุจ ููุชุทูุน ุจุงู |
|
|
|
294 |
|
00:24:55,890 --> 00:25:02,030 |
|
negative ู
ุธุจูุทุ ูุฅู ุทุงูู
ุง ุฃูุฏ ุงู 50% ู ุฃูุฏ ุงู 70 |
|
|
|
295 |
|
00:25:02,030 --> 00:25:05,670 |
|
ู
ุนูุงู ูุฏู ุฃู ุงูุง ู ุงูุง ู
ูุฌูุฏ ูุฃู ุงู B1 ุฃูู ู
ู ุงู |
|
|
|
296 |
|
00:25:05,670 --> 00:25:09,180 |
|
B2 ู
ุน ูุฏู ุงูุฌูุงุจ ูุงุฒู
ูุทูุน ู
ุนุงู ุจุงู negativeุฃูุง |
|
|
|
297 |
|
00:25:09,180 --> 00:25:12,640 |
|
ุฎุจุฑุชู ุงูุฅุดุงุฑุฉ ู
ู
ูู ุชุฎุฑุจ ู
ุด ุจุงูู ุงูู
ุซูุฉุ ูุงุถุญุ |
|
|
|
298 |
|
00:25:12,640 --> 00:25:16,080 |
|
ุจุงูุฐุงุช ูู ูุงู multiple choice ุงุญูููู ุจุงููุณุจุฉ |
|
|
|
299 |
|
00:25:16,080 --> 00:25:19,800 |
|
ูุฅูุฌุงุจุชู ูู ุจููุ ูู ุงููุ ูู ูุงุญุฏุ ุฅูุด ุฅูุฌุงุจุชู ูู |
|
|
|
300 |
|
00:25:19,800 --> 00:25:23,080 |
|
ุงููู ุจุนุฏูุ ูุงุถุญ ุจุงุฎุชููุ ุจุงูุชุงูู ูู ุฃูุง ุบูุทุช ุฑุจู
ุง |
|
|
|
301 |
|
00:25:23,080 --> 00:25:26,320 |
|
ูู ุงูุฅุดุงุฑุฉ ุงููู ููุงุ ุทูุฑ ุงูู
ุซูุฉุ ูุงุถุญุ |
|
|
|
302 |
|
00:25:30,580 --> 00:25:34,540 |
|
ุงูุฎุทูุฉ ุงูุชุงููุฉ ู
ูู
ุฉ ุฌุฏุง ุชุทูุน ูู Critical values |
|
|
|
303 |
|
00:25:34,540 --> 00:25:38,000 |
|
ููุง ูุชุญุฏุซ ุนู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
304 |
|
00:25:38,000 --> 00:25:38,080 |
|
ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
305 |
|
00:25:38,080 --> 00:25:38,700 |
|
ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
306 |
|
00:25:38,700 --> 00:25:41,080 |
|
ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
307 |
|
00:25:41,080 --> 00:25:41,360 |
|
ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
308 |
|
00:25:41,360 --> 00:25:42,980 |
|
ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
309 |
|
00:25:42,980 --> 00:25:48,160 |
|
ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู ุงุชุตุงููู ุงู |
|
|
|
310 |
|
00:25:48,160 --> 00:25:56,360 |
|
ุงุชุตุงููู ุงู |
|
|
|
311 |
|
00:25:56,360 --> 00:26:01,600 |
|
ุงูุคูุงุก ูู
ุงูููู
ุงูุฑุฆูุณูุฉ ููุฐุง ูุนูู ุฅุฐุง ูุงู ููู
|
|
|
|
312 |
|
00:26:01,600 --> 00:26:08,140 |
|
ุงูุงูุชุฌุงุฑ ุชุณูุท ูู ุฃุนูู ุญุงุฌุฉ ุงูุทุฑู ุงูุฃูู
ู ูุนูู ุฅุฐุง |
|
|
|
313 |
|
00:26:08,140 --> 00:26:13,060 |
|
ูุงู ุงูููู
ุฃูุจุฑ ู
ู 196 ุฃู ุฅูู ุงูุฌุงูุจ ุงูุฃุณูู ุฃูู ู
ู |
|
|
|
314 |
|
00:26:13,060 --> 00:26:20,480 |
|
ููู 1.96 ุซู
ูููุฐ ุงูููุจูุทูุฒ ุงูุงู ูู ูุฐุง ุงูููู
ุชุณูุท |
|
|
|
315 |
|
00:26:20,480 --> 00:26:25,160 |
|
ูู ุงูู
ูุทูุฉ ุงูุฑุฆูุณูุฉุ ูุงุถุญ ู
ูุฌูุฏ ููุง ู
ุด ูููู
ุน ูุฏู |
|
|
|
316 |
|
00:26:25,160 --> 00:26:29,920 |
|
ูู ุงู rejection ุฅุฐุง ุงู decision reject the null |
|
|
|
317 |
|
00:26:29,920 --> 00:26:36,300 |
|
hypothesis ุฅุฐุง ุงู decision reject ุงู zero this |
|
|
|
318 |
|
00:26:36,300 --> 00:26:39,360 |
|
means there is evidence of a significant |
|
|
|
319 |
|
00:26:39,360 --> 00:26:42,480 |
|
difference in the proportion of men and women ูู |
|
|
|
320 |
|
00:26:42,480 --> 00:26:46,940 |
|
ูุฑู ุจูู ุงูุงุชููู ูุนูู ูุฐุง ู
ุนูุงู ุงู conclusion ุชุจุนู |
|
|
|
321 |
|
00:26:46,940 --> 00:26:51,820 |
|
ุงู by one does not equal by two ูุนูู ูุณุจุฉ ุงูุฑุฌุงู |
|
|
|
322 |
|
00:26:51,820 --> 00:26:59,100 |
|
ุญููุง ูุนู
ุชุฎุชููุทุจ ูู ุนุงูุฒ ุฃุนู
ู testing ู ุฃุนุฑู ู
ุง |
|
|
|
323 |
|
00:26:59,100 --> 00:27:04,080 |
|
ุฅุฐุง ูุงู ุงู |
|
|
|
324 |
|
00:27:04,080 --> 00:27:10,420 |
|
B1 smaller than B2 ู ูุง B1 smaller than B2 ุงูุขู ู
ุด |
|
|
|
325 |
|
00:27:10,420 --> 00:27:15,580 |
|
ููุฎุชูู ูู ูู ุงูุญูุ ุฅูุด ุจุชุฎุชููุ ุฃุณู
ุน ู
ู ูุงุญุฏุฉ ุจุณ ุจุณ |
|
|
|
326 |
|
00:27:15,580 --> 00:27:21,440 |
|
ุงู critical value ุจุฏู two-sidedุ ูุฑุฌุน ุชุงููุฉุ ูููู |
|
|
|
327 |
|
00:27:21,440 --> 00:27:25,170 |
|
ุนูุฏู lower tail testุ ูููู ูุงุญุฏุฉ ุจุณ ุนูู ุงูุดู
ุงูููู |
|
|
|
328 |
|
00:27:25,170 --> 00:27:31,170 |
|
ุงูู
ุซูุฉ ูู ุฏู ุจุณ ุงูุงุฎุชูุงู ูู ูู ุงูุญู ูููู ุนูุฏูุง |
|
|
|
329 |
|
00:27:31,170 --> 00:27:39,610 |
|
ู
ูุฌุฉ ููุง ุณุงูุจุ ุณุงูุจ negative ูุฏูุดุ six over five |
|
|
|
330 |
|
00:27:39,610 --> 00:27:45,290 |
|
ู
ุด ูููุ and five percent ู
ุฌุณู
ุด ุนูู ุงุชููู ู
ุธุจูุทุ |
|
|
|
331 |
|
00:27:45,290 --> 00:27:49,930 |
|
ูุนูู ุงูุง ุญููุช ูู ูู ูู ูู ูู ูู ุงูุณุคุงู ูู ุฃุตูู ู
ุด |
|
|
|
332 |
|
00:27:49,930 --> 00:27:54,120 |
|
ูุงู by one does not equal by two ู
ุด ูููุููู ุงูุญุงูุฉ |
|
|
|
333 |
|
00:27:54,120 --> 00:27:58,780 |
|
ุงูุตุญ ููุฎูุตูุง ูู ุงูุชุฑุถ ุบูุฑุช ุงูู
ุซูุฉ ุจุฏู by one does |
|
|
|
334 |
|
00:27:58,780 --> 00:28:02,300 |
|
not equal by two ุตุงุฑุช by one ุฃูู ู
ู by .. ุญุฏุฏุชูุง |
|
|
|
335 |
|
00:28:02,300 --> 00:28:05,200 |
|
ุนูู ุงูุดู
ุงู ุทุจ ู
ุด ุตุญูุญ ุฃุญุฏุฏูุง ุนูู ุงููู
ูู ุจููู ุบุจู |
|
|
|
336 |
|
00:28:05,200 --> 00:28:09,620 |
|
ูู ุญุฏุฏุชูุง ุนูู ุงููู
ููุ ู
ุธูุฑุ ููุดุ ุงููู ุจุชุถุญู ุฅูู |
|
|
|
337 |
|
00:28:09,620 --> 00:28:16,300 |
|
ุฃูุชุ ููุด ุบูุท ุงูุณุคุงูุ ููุด ูู ุญููุช by oneุ ูุฃูู |
|
|
|
338 |
|
00:28:16,300 --> 00:28:22,980 |
|
ู
ู
ููุด ูููู .. ู
ู
ููุด ูุงุญุฏ ู .. ูุณูู .. ู .. ู .. ู |
|
|
|
339 |
|
00:28:22,980 --> 00:28:23,060 |
|
.. ู .. ู .. ู .. ู .. ู .. ู .. ู .. ู .. ู .. ู |
|
|
|
340 |
|
00:28:23,060 --> 00:28:24,450 |
|
.. ู .. ู .. ู .. ู .. ู .. ู .. ู .. ู ..ู
ุด ุจุฏู |
|
|
|
341 |
|
00:28:24,450 --> 00:28:29,830 |
|
ุงุญูู ุทุงูุน ู
ุงููุด ู
ุนูู ู
ุง ูู ุงูู
ุดููุฉ ุฃูุง ุงูู
ูุฑูุถ ุงูุง |
|
|
|
342 |
|
00:28:29,830 --> 00:28:35,330 |
|
ุงุญุงูู ููุง ุนูู ููู
ุงูุง |
|
|
|
343 |
|
00:28:35,330 --> 00:28:39,650 |
|
ุณุคุงูู ูุงูุชุงูุฉ ู
ุฑุฉ ุชุงููุฉ ููุด ู
ู ุงูุบุจุงุก ุจุฃูุฏ ุนูููุง |
|
|
|
344 |
|
00:28:39,650 --> 00:28:45,950 |
|
ู
ู ุงูุบุจุงุก ุงูู ุชุญูู by one ุงูุจุฑ ู
ู by two ุงูุณุจุจ |
|
|
|
345 |
|
00:28:48,450 --> 00:28:52,730 |
|
ูุฃู ุงูู B1 ุฃูู ู
ู ุงูู B2 ูุฐู ุงูู 51 ู ุงูู 70 |
|
|
|
346 |
|
00:28:52,730 --> 00:28:56,450 |
|
ูุจุงูุชุงูู ู
ุด ู
ูุทูู ูุนูู it doesn't make any sense |
|
|
|
347 |
|
00:28:56,450 --> 00:29:00,190 |
|
if you state the alternative B1 greater than B2 |
|
|
|
348 |
|
00:29:00,190 --> 00:29:05,630 |
|
ูุชููู ุฃูู ู
ู B2 ูุงุถุญุ ุทุจุนุง ููุด ุงูุญุงุฌุฉ ูุฎุชูู ุจุณ ุงู |
|
|
|
349 |
|
00:29:05,630 --> 00:29:10,850 |
|
critical value ูุชููู ุจุณ ุนูุฏ Z ฮฑุ negative Z ฮฑ ููู |
|
|
|
350 |
|
00:29:10,850 --> 00:29:14,530 |
|
ุชููู Alpha 5% ุจุชุทูุนูุง ุจุงูุฌูุงุจ ู
ู ุงู tables |
|
|
|
351 |
|
00:29:14,530 --> 00:29:19,710 |
|
negative 1.645Now is this value again for the |
|
|
|
352 |
|
00:29:19,710 --> 00:29:24,370 |
|
rejection regionุ ูุงุถุญุ ู
ูุฌูุฏุ ูุนูู ู
ุธุจูุทุ ุฅุฐุง |
|
|
|
353 |
|
00:29:24,370 --> 00:29:27,290 |
|
ุจุฑุถู we rejected on hypothesis ู
ุน ูุฏู ุงู buy one |
|
|
|
354 |
|
00:29:27,290 --> 00:29:31,290 |
|
ู
ุงูู ุฃูู ู
ู buy two ู
ุน ูุฏู ุงู proportion ูู men |
|
|
|
355 |
|
00:29:31,290 --> 00:29:35,730 |
|
ุงููู ุญููุง yes ูุณุจุชู ู
ุงููุง ุฃูู ู
ู ุงู proportion |
|
|
|
356 |
|
00:29:35,730 --> 00:29:39,730 |
|
ุงููู ุญููุง ูู women ุงููู ุญููุง ูุนู
ูุนูู ุงูุฑุฌุงู ุญููุง |
|
|
|
357 |
|
00:29:39,730 --> 00:29:45,930 |
|
ูุนู
ุฃูู ู
ู ูุณุจุฉ ุงููุณุงุก ุงููู ุญููุง ูุนู
ูุงุถุญุ ูู ุฃู |
|
|
|
358 |
|
00:29:45,930 --> 00:29:52,400 |
|
ุณุคุงูุุฅูุง ุจุนุฏ ูู ู
ุงููุด ุฎูุตุฉ ุงูุดุจุทุฉุ ุงูุดุจุทุฉ ุนุดุงู ูุฏู |
|
|
|
359 |
|
00:29:52,400 --> 00:29:59,920 |
|
ุฎูุตุ ุจุณ ูุบุงูุฉ ููุง ุงูุดุจุทุฉ ุนุดุงู ุฎูุตุ ุฃู ุณุคุงูุ ุงูููู
|
|
|
|
360 |
|
00:29:59,920 --> 00:30:00,520 |
|
ุชูุจุฑ ุนุงููุฉ |
|
|
|
|