Question: (4 points) According to a study by Au & Associates PseudoScientific Consulting (AAPC), the time interval between Atlantic hurricane of category 4 has a mean of 456 days and a standard deviation of 123 days. Suppose that you observe a sample of five (5) time intervals between successive category 4 hurricanes.

a. On average, what would you expect to be the mean of the five (5) time intervals?

b. How much variation would you expect from your answer in part (a)? (Hint: Think along the line of the Empirical 68-95-99.7 Rule.)