A paired difference experiment produced the following data:

n, = 18 il = 92 x2 = 95.5 i, = -3.5 sk = 21

a. Determine the values oft for which the null hypothesis, pl - p2 = 0, would be rejected in favor of the alternative hypothesis, pl - p2 < 0. Use cu = .lo.

b. Conduct the paired difference test described in part a.

Draw the appropriate conclusions.

c. What assumptions are necessary so that the paired difference test will be valid?

d. Find a 90% confidence interval for the mean difference pD.

e. Which of the two inferential procedures, the confidence interval of part d or the test of hypothesis of part

b, provides more information about the differences between the population means?