Question: The mean selling price of new homes in a city over a year was $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales in this city was taken.

(a) Is it necessary to assume that the prices are normally distributed to use the Central Limit Theorem?

(b) Find the probability that the sample mean was more than $110,000.

(c) Find the probability that the sample mean is between $113,000 and $117,000.