The data for a random sample of 10 paired observations are shown in the accompanying table.

Pair Sample from Population 1 Sample from Population 2

a. If you wish to test whether these data are sufficient to indicate that the mean for population 2 is larger than that for population 1, what are the appropriate null and alternative hypotheses? Define any symbols you use.

b. The data are analyzed using MINITAB, with the results shown below. Interprct these results.

c. The output of MINITAB also included a confidence interval. Interpret this output.

d. What assumptions are necessary to ensure the validity of this analysis?