Data Excel Link: https://drive.google.com/file/d/1kdGo1tKLlLPmqsMhHGa01UNw23U5ec0u/view?usp=sharing

Data was collected from graduate students at Pitt who are studying either a social science or a physical science.In total, 44 students responded to the survey.Please round all answers to 3 decimal places (e.g., 19.487, 1.700)

1. Perform a paired t-test to determine if the average verbal GRE scores and the average quantitative GRE scores are significantly different (use = 0.05).Be sure to report the test statistic, p-value, and conclusion in plain English.

2. Perform a two-sample t-test to determine if the average verbal GRE scores for males and females are significantly different. Be sure to report the test statistic, p-value, and conclusion in plain English.

3. Perform a Chi-Square test to determine if there is a relationship between science type and student status.Be sure to report the test statistic, p-value, and conclusion in plain English.(Continue with the test even if the conditions fail.)

4. Suppose we are interested in a linear regression model that uses quantitative GRE to predict analytic GRE.Perform a t-test that determines if quantitative GRE is significant in predicting analytic GRE.Be sure to report the test statistic, p-value, and conclusion in plain English.

5. Use ANOVA to determine if there is a significant difference in average quantitative GRE scores across the four different ethnicities.Be sure to report the test statistic, p-value, and conclusion in plain English.