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b:head_first_statistics:constructing_confidence_intervals [2019/12/03 14:08] – [Just one more problem...] hkimscilb:head_first_statistics:constructing_confidence_intervals [2019/12/05 13:36] – [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}} 
-Step 2: Find its sampling distribution  + 
-[{{:b:head_first_statistics:pasted:20191203-122301.png}}]{{:b:head_first_statistics:pasted:20191203-122550.png}}+<fs large>**Step 1:**</fs> Choose your population statistic 
 +{{:b:head_first_statistics:pasted:20191203-122301.png}} 
 + 
 +<fs large>**Step 2**</fs>: Find its __**sampling distribution**__  
 +{{:b:head_first_statistics:pasted:20191203-122550.png}}
 Mighty Gumball used a sample of 100 gumballs to come up with their Mighty Gumball used a sample of 100 gumballs to come up with their
 estimates, and they have calculated that s2 = 25. This means that estimates, and they have calculated that s2 = 25. This means that
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 {{: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}}
  
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 ====== Just one more problem... ====== ====== Just one more problem... ======
-Step 1: Choose your population statistic +==== Step 1: Choose your population statistic ====
 Mighty Gumball has taken a representative sample of 10 gumballs and weighed each one. In their sample, x = 0.5 oz and s<sup>2</sup> = 0.09. Mighty Gumball has taken a representative sample of 10 gumballs and weighed each one. In their sample, x = 0.5 oz and s<sup>2</sup> = 0.09.
  
-Step 2: Find its sampling distribution +==== Step 2: Find its sampling distribution ====
 The normal distribution isn't a good approximation for every situation. The normal distribution isn't a good approximation for every situation.
  
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 {{:b:head_first_statistics:pasted:20191203-133508.png}} {{:b:head_first_statistics:pasted:20191203-133508.png}}
  
-Step 3: Decide on the level of confidence+==== Step 3: Decide on the level of confidence ====
 {{:b:head_first_statistics:pasted:20191203-133812.png}} {{:b:head_first_statistics:pasted:20191203-133812.png}}
-Step 4: Find the confidence limits+ 
 +==== Step 4: Find the confidence limits ====
 {{:b:head_first_statistics:pasted:20191203-133742.png}} {{:b:head_first_statistics:pasted:20191203-133742.png}}
 +
 +===== The t-distribution vs. the normal distribution =====
 +{{:b:head_first_statistics:pasted:20191203-133845.png}}
b/head_first_statistics/constructing_confidence_intervals.txt · Last modified: 2023/11/15 08:24 by hkimscil

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