## anonymous 5 years ago Assume that the heights of men are normally distributed with a mean of 70.1 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 71.1 inches.

The sample mean of a population is a normal distribution with the same mean as the population, and standard deviation $\sigma/\sqrt{n}$ where $\sigma$ is the original population standard deviation. Now you should be able to solve this like any other normal distribution problem (find a z-value, etc...)