Suppose the University of Memphis advertises that its average class size is 35 or fewer students. 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 36.9 students. Assume that the standard deviation for the class size in the college is 8 students. Using α = 0.01, test the student organization's claim. To test the claim:
• Use the critical value approach
• Use the p-value approach
• Explain in your own words how Type I and Type II errors can occur in this hypothesis test