Twenty Colleges Each Recommended One of Its Graduating Seniors for a Prestigious

Essay

Twenty colleges each recommended one of its graduating seniors for a prestigious
graduate fellowship. The process to determine which student will receive the fellowship
includes several interviews. The gender of each student and his or her score on the first
interview are shown below.
a. Suppose you want to use gender to model the score on the interview $y$ . Create the appropriate number of dummy variables for gender and write the model.
b. Fit the model to the data.
c. Give the null hypothesis for testing whether gender is a useful predictor of the score $y$ .
d. Conduct the test and give the appropriate conclusion. Use $\alpha = .05$ .