The U.S. Office of Management and Budget (OMB) requires government agencies to produce annual performance and accounting reports (PARS) each year. A research team at George Mason University evaluated the quality of the PARS for 24 government agencies (The Public Manager, Summer 2008), where evaluation scores ranged from 12 (lowest) to 60 (highest). The accompanying file contains evaluation scores for all 24 agencies for two consecutive years. Data for a random sample of five of these agencies are shown in the accompanying table. Suppose you want to conduct a paired difference test to determine whether the true mean evaluation score of government agencies in year 2 exceeds the true mean evaluation score in year 1.
For Information: (See Exercise 2.129, p. 105.)

a. Explain why the data should be analyzed using a paired difference test.
b. Compute the difference between the year 2 score and the year 1 score for each sampled agency.
c. Find the mean and standard deviation of the differences, part b.
d. Use the summary statistics, part c, to find the test statistic.
e. Give the rejection region for the test using α = .10.
f. Make the appropriate conclusion in the words of the problem.

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Agency Year 1 Score Year 2 Score GSA Agricultune Social Security USAID Defense 34 40 35 32 17 42 32