The data for a random sample of 10 paired observations are shown in the following table. LO5 Pair Population 1 Population 2 1 19 24 2 25 27 3 31 36 4 52 53 5 49 55 6 34 34 7 59 66 8 47 51 9 17 20 10 51 55

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. Conduct the test from part

a, using a = .10. What is your decision?

c. Find a 90% confidence interval for md. Interpret this interval.

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