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The Data for a Random Sample of Five Paired Observations dˉ\bar { d }

Question 54

Essay

The data for a random sample of five paired observations are shown below.  The data for a random sample of five paired observations are shown below.    a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate  \bar { d }  and  s _ { d } . b. Calculate the means  \bar { x } _ { 1 }  and  \bar { x } _ { 2 }  of each column of observations. Show that  \bar { d }   \bar { x } _ { 1 } - \bar { x } _ { 2 } . c. Form a  90 \%  confidence interval for  \mu _ { D } .

a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate dˉ\bar { d } and sds _ { d } .
b. Calculate the means xˉ1\bar { x } _ { 1 } and xˉ2\bar { x } _ { 2 } of each column of observations. Show that dˉ"xˉ1xˉ2\bar { d } " \bar { x } _ { 1 } - \bar { x } _ { 2 } .
c. Form a 90%90 \% confidence interval for μD\mu _ { D } .

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a. The dif...

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