14 Assume that you want to test the claim that the paired sa

14)

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is d = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed.The following table shows the weights of nine subjects before and after following a particular diet for two months. You wish to test the claim that the diet is effective in helping people lose weight. What is the value of the appropriate test statistic?
  

Subject A B C D E F G H I
Before 168 180 157 132 202 124 190 210 171
After 152 178 145 125 171 126 180 195 163

Solution

Find difference for each pair then mean and std dev.

Std error = stddev/rt n

Test statistic = difference/std error.

Subject A B C D E F G H I
Before 168 180 157 132 202 124 190 210 171
After 152 178 145 125 171 126 180 195 163
Diff 16 2 12 7 31 -2 10 15 8 11
Std dev 9.473648
Std error 2.856412
Test statistic 3.850985
14) Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is d = 0. Compute the value of the t

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