The following two samples were collected as matched pairs:

Pair 1 2 3 4 5 6 7 Sample 1 5 6 9 4 6 7 8 Sample 2 4 2 6 6 5 9 6

a. State the null and alternative hypotheses to test if a difference in means exists between the populations represented by Samples 1 and 2.

b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.05.

c. Approximate the p-value using Table 5 in Appendix A and interpret the result.

d. Verify your results using Excel’s Data Analysis. Mac users can rely on PHStat for this procedure.

e. Identify the p-value from Excel and interpret the result.

f. What assumptions need to be made in order to perform this procedure?

AppendixLO1