Mobile Homes. According to the U.S. Census Bureau publication Manufactured Housing Statistics, the mean price of new mobile homes is $65,100. Assume a standard deviation of $7200. Let x¯

denote the mean price of a sample of new mobile homes.

a. For samples of size 50, find the mean and standard deviation of x¯.

Interpret your results in words.

b. Repeat part

(a) with n = 100.