Professor Laffing peppers his lectures with corny jokes. At the end of the course, he administers the Laugh-o-Meter test to see how funny his students found his lectures. The Laugh-o-Meter test has a nationwide mean of 40 and a standard deviation of 6. Professor Laffing's funniness rating by the members of his class is 54.
a. State the null hypothesis.
b. State the research (alternative) hypothesis.
c. If Professor Laffing is just a random person from the population, what is the probability that he would be as funny as he is?
d. You have not learned the standards for rejecting or retaining the null hypothesis. However, given the test's nationwide norms, does it seem that someone as funny as Dr. Laffing is funny enough to reject the null hypothesis? Justify your decision.