The height of young American women, in inches, are normally distributed with a mean of 62 and standard deviation of 2.0. A simple random sample of four young American women is selected and their heights measured. Then the average height of the four young American women has a? A. Normal distribution with a mean 62 and a standard deviation 0.5 B. Normal distribution with a mean 62 and a standard deviation 1.0 C. Normal distribution with a mean 62 and a standard deviation 1.5 D. Normal distribution with a mean 62 and a standard deviation 2.0