The high school athletic director is asked if football players are doing as well academically as the other student athletes. From a previous study, it is known that the average GPA for the students who are on the football team is 2.74 with a standard deviation of 0.62. After an initiative to help improve the GPA of student athletes who play football, the athletic director found that the average GPA is 2.9 from a random sample of 137 football players. Does the average GPA of the football players change after the initiative? Use a 0.01 significance level, to conduct the hypothesis.

a Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal plac

b. Determine the p-value for this tes