Suppose the University of Memphis advertises that its average class size is 35 students or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 38 classes was selected, and the average class size was found to be 36.9 students. Assume that the standard deviation for class size at the college is eight students. Using σ = 0.05, answer the following questions:

a. Does the student organization have enough evidence to refute the college’s claim?

b. Determine the p value for this test.

c. Verify your results using PHStat.