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. Is there a significant improvement? Use a 0.05 significance level.

Hypothesis Step 1: Cleary state the null and alternative hypotheses.

NULL HYPOTHESIS: _______________________________

ALTERNATIVE HYPOTHESIS: ___________________________________

Hypothesis Step 2: Identify the appropriate significance level and confirm the test assumptions.

Hypothesis Step 3: Analyze/Calculate the Data (Remember to use the t-test formula)

Hypothesis Step 4: Interpretation of Your Results