The U.S. Marine Corps requires that men have heights between 64 and 78 inches. The National Health Survey shows that heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that their mean height is greater than 68.0 inches.
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Step 1
First, we need to find the standard error of the mean. The standard error is the standard deviation divided by the square root of the sample size. In this case, the standard deviation is 2.8 inches and the sample size is 64. So, the standard error is 2.8/sqrt(64) Show more…
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