Carefully review the following scenario and research questions provided below to develop statistical analyses plans.

You have been employed to analyze information for the dean of the School of Education regarding the performance of their undergraduate students on the often-controversial Graduate Record Exam (GRE). Many educators believe the GRE is a poor evaluator of undergraduate performance as well as a poor predictor of graduate school performance. The dean is considering eliminating the GRE from graduate school admissions requirements.

The dean has already collected data on four variables: 1) gender, 2) grade point average (GPA), 3) GRE score, and 4) graduate degree completion frequency. Your job is to develop a proposed analysis to assist the dean to make an informed decision regarding the future use of the GRE.

Given that a statistical relationship analysis involving two variables often involves a Pearson r correlation or a simple regression while a statistical relationship analysis involving three or more variables often involves multiple correlationsor what is more widely known as multiple regression. A statistical analysis testing for effect involving two variables often involves some form of a t-test; on the other hand, a statistical analysis of effect involving three or more variables often involves some form of an ANOVA.

For each research question, please address:

oCorresponding null and alternative hypotheses.

oType of statistical analysis to be employed to determine the significance.

oAssumptions of each test.

oExplanations of potential outcomes identifying both non-significant and significant relationships as related to both null and alternative hypotheses(You want to actually calculate results).

oRecommendations based on non-significant and significant findings.

Relationship Research Questions

1.What is the relationship between student GRE scores and GPA?

Ho: A non-significant relationship will exist between student GRE scores and GPA.

Ha: A significant relationship will exist between student GRE scores and GPA.

2.How do student GRE scores and GPA relate to their gender?

Ho: A non-significant relationship will exist between student GRE scores, their GPA and their gender.

Ha: A significant relationship will exist between student GRE scores, their GPA and their gender.

Effect Research Questions

3.What is the effect of a students' gender on GRE score and GPA?

Ho: A student's gender will have a non-significant effect on their GRE score and GPA

Ha: A student's gender will have a significant effect on their GRE score and GPA.

4.What is the effect of a students' gender on GRE score, and degree completion frequency?

Ho: Students' gender will have a non-significant effect on their GRE score and degree completion frequency.

Ha: Students' gender will have a significant effect on their GRE score and degree completion frequency.