Test Scores. A large financial planning firm wants to compare the results of three training programs for its staff. Twenty-seven employees are selected for the study. These employees are grouped into three blocks of nine for the comparison. The blocks are based on number of years since college graduation, with block l being the most recent graduates and block 3 the most distant graduates. After the training programs are completed, the employees are tested and the test scores recorded. The data are in a file named TESTSCR9 on the CD. In the MINITAB file there are three columns: SCORE contains the test scores, PROGRAM coded as 1, 2, or 3, and BLOCK coded as 1, 2, or 3. The Excel spreadsheet is set up as it should be for an Excel randomized block analysis. See Using the Computer for more information.
a. Determine whether there is a difference in average test scores because of the training programs. Use a 5% level of significance. State any hypotheses to be tested, the decision rule, the test statistic, and your decision.
b. Construct a 95% confidence interval estimate of the difference between the means for program 1 and program 2.
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