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b:head_first_statistics:constructing_confidence_intervals [2019/12/04 11:58] – [Four steps for finding confidence intervals] hkimscilb:head_first_statistics:constructing_confidence_intervals [2019/12/05 13:46] – [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. 
  
-{{:b:head_first_statistics:pasted:20191203-121916.png}} +[{{:b:head_first_statistics:pasted:20191203-121916.png  }}] : As an example, you may want to choose a and b so that there’s a 95% chance of the interval containing the population mean. Finding the exact spot of a and b is the problem we are trying to solve. 
-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//**.
  
-{{:b:head_first_statistics:pasted:20191203-122050.png}} 
  
 ===== Four steps for finding confidence intervals ===== ===== Four steps for finding confidence intervals =====
-Step 1: Choose your population statistic+{{:b:head_first_statistics:pasted:20191203-122050.png}} 
 + 
 +<fs large>**Step 1:**</fs> Choose your population statistic 
 +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:
 {{:b:head_first_statistics:pasted:20191203-122301.png}} {{:b:head_first_statistics:pasted:20191203-122301.png}}
-Step 2: Find its sampling distribution + 
 +<fs large>**Step 2**</fs>: Find its __**sampling distribution**__  
 +샘플평균들의 분산은 ($Var(\overline{X})$) 모집단의 특성인데 (parameter), 이를 알 수는 없으므로 아래와 같이 샘플의 분산값을 ($s^{2}$) 사용하여 샘플평균들의 분포를 만든다.
 {{:b:head_first_statistics:pasted:20191203-122550.png}} {{:b:head_first_statistics:pasted:20191203-122550.png}}
-Mighty Gumball used a sample of 100 gumballs to come up with their + 
-estimates, and they have calculated that s2 = 25. This means that+ 
 + 
 +Mighty Gumball used a sample of 100 gumballs to come up with their estimates, and they have calculated that s<sup>2</sup> = 25. This means that
 {{:b:head_first_statistics:pasted:20191203-122843.png}} {{:b:head_first_statistics:pasted:20191203-122843.png}}
 {{:b:head_first_statistics:pasted:20191203-122946.png}} {{:b:head_first_statistics:pasted:20191203-122946.png}}
  
-Step 3: Decide on the level of confidence +<fs large>**Step 3:**</fs> Decide on the level of confidence 
-Step 4: Find the confidence limits+<fs large>**Step 4:**</fs> Find the confidence limits
 {{:b:head_first_statistics:pasted:20191203-123220.png}} {{:b:head_first_statistics:pasted:20191203-123220.png}}
  
b/head_first_statistics/constructing_confidence_intervals.txt · Last modified: 2023/11/15 08:24 by hkimscil

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