GRE Scores The quantitative reasoningscores on the Graduate Record Examination(GRE)2

Chapter 11, Problem 27

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GRE Scores The quantitative reasoningscores on the Graduate Record Examination(GRE)2 were recorded for students admitted to threedifferent graduate programs at a local university.Graduate ProgramLife Sciences Physical Sciences Social Sciences630 660 660 760 440 540640 660 640 670 330 450470 480 720 700 670 570600 650 690 710 570 530580 710 530 450 590 630a. Do these data provide sufficient evidence to indicatea difference in the mean GRE scores for applicantsadmitted to the three programs?b. Find a 95% confidence interval for the differencein mean GRE scores for Life Sciences and PhysicalSciences.c. If you find a significant difference in the averageGRE scores for the three programs, use Tukeysmethod for paired comparisons to determinewhich means differ significantly from the others.Use a .05.

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