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 a) Assuming you are the Athletics Director. State the null and alternative hypothesis. b) 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. c)Calculate the critical value and test statistic in (b) above. Two decimal
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
a) Assuming you are the Athletics Director. State the null and alternative hypothesis.
b) What test statistics would you use to test the hypothesis above assuming that the data is
c)Calculate the critical value and test statistic in (b) above. Two decimals.
d)Interpret your result in (c) above using the 5% significance level.
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