A paired difference experiment produced the following results nd 38 1 92 2 95 5 3 5 s2d 21 a Determine the values of z for which the null hypothesis, 1 2 0, would be rejected in favor of the alternative hypothesis, 1 2 0 Use 10 b Conduct the paired difference test described in part a Draw the appro...

a H 0 1 2 0 H a 1 2 0 The rejection region requires a 10 in the lower tail of the z distribution Fro ...

A paired difference experiment produced the following results: nd = 38 1 = 92 2 = 95.5

Question:

A paired difference experiment produced the following results:
nd = 38 1 = 92 2 = 95.5 = -3.5 s2d = 21
a. Determine the values of z for which the null hypothesis, µ1 - µ2 < 0, would be rejected in favor of the alternative hypothesis, µ1 - µ2 < 0. Use α = .10.
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
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?