The MCAT is a standardized test used by medical schools in the admissions process. The scale of this exam ranges from 3 to 45. A new type of review course for the MCAT was developed by a training company. The following table shows MCAT scores for nine students before and after taking the review course. These data can also be found in the Excel file MCAT.xlsx.

Student 1 2 3 4 5 6 7 8 9 Before 26 21 20 31 18 33 25 23 30 After 28 26 17 34 20 31 26 22 32

a. Perform a hypothesis test using a = 0.05 to determine if the average MCAT score is higher for students after the review course when compared with before the course.

b. Approximate the p-value using Table 5 in Appendix A and interpret the result.

c. Verify your results using Excel. Mac users can rely on PHStat for this procedure.

d. Identify the p-value using Excel and interpret the result.

e. What assumptions need to be made in order to perform this procedure?

AppendixLO1