b:head_first_statistics:constructing_confidence_intervals
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b:head_first_statistics:constructing_confidence_intervals [2019/12/05 13:30] – [Four steps for finding confidence intervals] hkimscil | b:head_first_statistics:constructing_confidence_intervals [2019/12/05 13:55] – [Four steps for finding confidence intervals] hkimscil | ||
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Rather than specify an exact value, we can specify two values we expect flavor duration to lie between. | Rather than specify an exact value, we can specify two values we expect flavor duration to lie between. | ||
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- | The far side of each end, (a, b) is called a confidence interval. | + | |
+ | The far side of each end, (a, b) is called a **//confidence interval//**. | ||
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- | Step 1: Choose your population statistic | + | <fs large>**Step 1:**</ |
+ | If we go back to the work we did in the last chapter, then the sampling distribution of means has the following expectation and variance: | ||
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- | Step 2: Find its sampling distribution | + | |
+ | <fs large>**Step 2**</ | ||
+ | 샘플평균들의 분산은 ($Var(\overline{X})$) 모집단의 특성인데 (parameter), | ||
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- | Mighty Gumball | + | |
- | estimates, and they have calculated that s2 = 25. This means that | + | 위대한 풍선껌은 (Mighty Gumball) 100개의 풍선검을 샘플로 이용하여 단맛의 지속시간을 측정하고, 이 샘플의 분산값으로 (s< |
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+ | 위를 일반화해서 생각해보면 $X \sim N(\mu, \sigma^{2})$이라고 할 때, 샘플의 숫자가 충분히 크다고 할 때 (n=100과 같이), $E(\overline{X})$ 값과 $Var(\overline{X})$ 값은 아래와 같다. | ||
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- | Step 3: Decide on the level of confidence | + | <fs large>**Step 3:**</ |
- | Step 4: Find the confidence limits | + | <fs large>**Step 4:**</ |
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b/head_first_statistics/constructing_confidence_intervals.txt · Last modified: 2023/11/15 08:24 by hkimscil