Based on 53 years of data compiled by the National Climatic Data Center (http://lwf.ncdc.noaa

.gov/oa/climate/online/ccd/avgwind.html), the average speed of winds in Honolulu, Hawaii, equals 11.3 mph, as of June 2004. Assume that wind speeds are approximately normally distributed with a standard deviation of 3.5 mph.

a. Find the probability that the wind speed on any one reading will exceed 13.5 mph.

b. Find the probability that the mean of a random sample of nine readings will exceed 13.5 mph.

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.