Question

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 first year? This Excel file "Freshmen Intramurals" has data on 745 intramural participant/nonparticipant pairs of freshmen at a large Midwestern university. The student participant/nonparticipant 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 GPAs than freshmen who do not participate in intramurals. Let Î¼P be the mean freshman year GPA of intramural participants and Î¼N be the mean freshman year GPA of intramural nonparticipants. Do these data support the claim that freshmen intramural participants have higher freshman year mean GPAs than freshmen intramural nonparticipants? Perform the appropriate hypothesis test and answer the questions below (calculate the difference as participant freshman year GPA - nonparticipant freshman year GPA). Question 1. What is the value of the test statistic t? (use 2 decimal places in your answer) Question 2. Select the correct choice below for the P-value of this hypothesis test. 0.05 < P-value < 0.10 0.001 < P-value < 0.005 0.01 < P-value < 0.05 0.005 < P-value < 0.01 P-value > 0.10 P-value < 0.0001 Question 3. What is an appropriate conclusion for this hypothesis test? Question 4. Estimate the mean difference (freshman year intramural participant GPA - freshman year intramural nonparticipant GPA) in freshman year GPAs with a 95% confidence interval.

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 first year? This Excel file "Freshmen Intramurals" has data on 745 intramural participant/nonparticipant pairs of freshmen at a large Midwestern university. The student participant/nonparticipant 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 GPAs than freshmen who do not participate in intramurals. Let Î¼P be the mean freshman year GPA of intramural participants and Î¼N be the mean freshman year GPA of intramural nonparticipants. Do these data support the claim that freshmen intramural participants have higher freshman year mean GPAs than freshmen intramural nonparticipants? Perform the appropriate hypothesis test and answer the questions below (calculate the difference as participant freshman year GPA - nonparticipant freshman year GPA).

Question 1. What is the value of the test statistic t? (use 2 decimal places in your answer)
Question 2. Select the correct choice below for the P-value of this hypothesis test.
0.05 < P-value < 0.10
0.001 < P-value < 0.005
0.01 < P-value < 0.05
0.005 < P-value < 0.01
P-value > 0.10
P-value < 0.0001
Question 3. What is an appropriate conclusion for this hypothesis test?
Question 4. Estimate the mean difference (freshman year intramural participant GPA - freshman year intramural nonparticipant GPA) in freshman year GPAs with a 95% confidence interval.

Added by Steven G.

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