9.16 Raise Your MCAT Test Scores! There are many books and crash courses available to prepare for the MCAT examination. An organization that offers such courses claims the average score improvement for its crash-course participants is between 29 to 37 points. Are the claims made by this organization exaggerated? That is, is the average score improvement less than 29, the minimum claimed in the advertising flyer? A random sample of 36 students who took the crash course achieved an average score of 27 with a standard deviation of 5.2 points.

a. Use the p-value approach to test the claim. At which significance levels can you reject Ho?

b. If you were a competitor of this organization, how would you state your conclusions to put your com- pany in the best possible light?

c. If you worked for the this organization, how would you state your conclusions to protect your com- pany's reputation?