11.27 GRE Scores The Graduate Record Examination (GRE) scores were recorded for students admitted to three different graduate programs at a local university.

a. Do these data provide sufficient evidence to indicate a difference in the mean GRE scores for applicants admitted to the three programs?

b. Find a 95% confidence interval for the difference in mean GRE scores for programs 1 and 2.

c. If you find a significant difference in the average GRE scores for the three programs, use Tukey's method for paired comparisons to determine which means differ significantly from the others. Use a = 0.05.

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