The following two samples were collected as matched pairs:

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

a. State the null and alternative hypotheses to test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2.

b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.10.

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