The quantitative reasoning scores on the Graduate Record Examination (GRE)2 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 = .05.

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