The high school athletic director is asked if football players are doing as well academically as...

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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 What test statistics would you use to test the hypothesis above assuming that the data is normally distributed and each player is independent of the other, base your test statistic on the sample size. [2] Question 14 Calculate the critical value and test statistic in Question 13 above. Two decimals. [2] Question 15 Interpret your result in Question 14 above using the 5% significance level. [4] [3] 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 What test statistics would you use to test the hypothesis above assuming that the data is normally distributed and each player is independent of the other, base your test statistic on the sample size. [2] Question 14 Calculate the critical value and test statistic in Question 13 above. Two decimals. [2] Question 15 Interpret your result in Question 14 above using the 5% significance level. [4] [3]

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