The high school athletic director is asked if football players are doing as well academically as the other student athletes. We know from a previous study that the average GPA for the student athletes is 3.10. After an initiative to help improve the GPA of student athletes, the athletic director randomly samples 20 football players and finds that the average GPA of the sample is 3.18 with a sample standard deviation of 0.54.

Question 1 Assuming you are the Athletics Director. State the null and alternative hypothesis.

Question 2 Calculate the critical value and test statistic for this problem setting. Two decimals.

Question 3 Interpret the result you found in question 13 above.