Q. Recall the study of 80 students who used a private tutor to help them improve their SAT scores. Their score on the mathematical section improved by an average of 11 points, with a sample standard deviation of 65 points.

A) Is there evidence, at the 5% level of significance, that tutoring improves the math score?

B) Compute the p-value corresponding to the hypothesis test. Interpret the p-value. What does it tell us about whether tutoring improves the math score?