An instructor in a Statistics course teaches in two classes: Class A and Class B. Class A has 16 students while class B has 25 students. On the same examination, although there was no significant difference in the mean grades, class A had a standard deviation of the grades of 9 while class B had a standard deviation of the grades of 12.
Can we conclude at a level of confidence of (a) 0.95 and (b) 0.90 that the variability of class A is greater than that of class B ? (c) What is the p-value of the test?