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Student affairs departments at colleges provide programs and events that offer students opportunities to learn outside of traditional coursework. One popular avenue of engagement chosen by students is intramural sports. Does participation in intramural sports improve freshmen academic indicators such as GPA and retention after the rst year? This Excel le Freshmen Intramurals has data on 745 intramural participantonparticipant pairs of freshmen at a large midwestern university. The student participantonparticipant pairs were formed based on matching gender and high school GPA (to within 0.25). A claim frequently made by college academic advisors is that freshmen intramural participants have higher freshman-year GPA's than freshmen who do not participate in intramurals. Let up be the mean freshmen year GPA of intramural participants and [JN be the mean freshmen year GPA of intramural nonparticipants. Do these data support the claim that freshmen intramural participants have higher freshmen year mean GPA's than freshmen intramural nonparticipants? Perform the appropriate hypothesis test and answer the questions below (calculate the difference as participant freshmen year GPA - nonparticipant freshmen year GPA. Question 1. What is the value of the test statistic t? (use 2 decimal places in your answer) 4.86 x Question 2. Select the correct choice below for the Pvalue of this hypothesis test. " 0.005 0.10 " 0.01