Question

Let X be the height, in inches, of American men. The mean and standard deviation for American men's height are 69 inches and 3 inches, respectively. What are the mean and standard deviation for the mean of height of 25 randomly selected American men?

Answer 1

Explanation:

Given that X is the height, in inches, of American men. The mean and standard deviation for American men's height are 69 inches and 3 inches, respectively.

X is N(69,3)

If a sample of 25 american men are selected the mean would remain the same.

But std dev becomes 3/sqrt 25=0.60

Hence sample height will follow

N(69, 0.60)