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\fProblem 2. A team of Stern students obtained a random sample of 50 Stern students and recorded the following information for each student: GPA: grade point average. Drinks:{ 1 if a student drinks 5 or more alcoholic drinks per week 0 if a student drinks less than 5 alcoholic drinks per week To answer the questions below, use the Minitab output on the next page. a) Write the estimated simple regression model of GPA on Drinks (spec ify the missing yintercept and the coefcient of Drinks.) b) Is there a statistically signicant dierence between the mean GPA of students who have 5 or more alcoholic drinks per week and the mean GPA of students who have less than 5 alcoholic drinks per week. Test at a = 0.01. (State the hypothesis test, test statistic and your conclusion.)