Based on data from 1996 through 2006 from the Western Regional Climate Center, the average speed of winds in Honolulu, Hawaii, equals 10.6 miles per hour. Assume that wind speeds are approximately normally distributed with a standard deviation of 3.5 miles per hour.
a. Find the probability that the wind speed in any one reading will exceed 13.5 miles per hour.
b. Find the probability that the mean of a random sample of 9 readings exceeds 13.5 miles per hour.
c. Do you think the assumption of normality is reasonable? Explain.
d. What effect do you think the assumption of normality had on the answers to parts a and b? Explain.