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 12 Assuming you are the Athletics Director. State the null and alternative hypothesis.  Question 13 Calculate the critical value and test statistic for this problem setting. Two decimals.  Question 14 Interpret the result you found in question 13 above.

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Questions 12 to 14 refer to the following problem setting:
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 12
Assuming you are the Athletics Director. State the null and alternative hypothesis. 
Question 13
Calculate the critical value and test statistic for this problem setting. Two decimals. 

Question 14
Interpret the result you found in question 13 above. 

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