17. GRE Scores The quantitative reasoning scores on the Graduate Record Examination (GRE)3 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 Life Sciences and Physical Sciences.

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 5.05.

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Graduate Program Life Sciences Physical Sciences Social Sciences 440 540 630 660 660 760 640 660 640 670 330 450 470 480 720 700 670 570 600 650 690 710 570 530 580 710 530 450 590 630