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