GRE Scores The quantitative reasoning scores on the Graduate Record Examination (GRE...

GRE Scores The quantitative reasoning scores on the Graduate Record Examination (GRE)7 were recorded for students admitted to three different graduate programs at a local university. This data was analyzed in Exercise 11.27 using the analysis of variance for a completely randomized design.

a. Write the theoretical model relating the GRE score to the qualitative variable “graduate program” using two dummy (indicator) variables to represent the three graduate programs.

b. Use a computer package to analyze the data with a multiple regression analysis. Is there sufficient evidence to indicate a difference in the average scores between the students who have been admitted to the three graduate programs? Use α = .05.

c. Comment on the fit of the model and any regression assumptions that may have been violated. Summarize your results in a report, including printouts and graphs if possible.

Reference:

GRE Scores 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 α = .05.