# Question

A paired difference experiment produced the following data:

a. Determine the values of t 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 µd.

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 difference between the population means?

a. Determine the values of t 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 µd.

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 difference between the population means?

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