Question: According to Farming Today (February 28, 2008), the mean number of sunny days per year is 187 with a standard deviation of 53 days per year. Assume that these results apply to the entire history of the United States and that the distribution of sunny days is relatively normal. A sample of 38 years is selected. The mean of the sample is 183.2 sunny days per year with a standard deviation of 43 days per year.

(a) In this problem identify the following variables:
m = _______, s = ______, \[\bar{x}\] = ________, s = _____, and n = _______

(b) What is the probability that a single year from the population will have 177 or more sunny days?