Assume heights of men are normally distributed with a mean of 69.3 inches with a standard...

Assume heights of men are normally distributed with a mean of 69.3 inches with a standard deviation of 3.4 inches. The U.S. Air Force requires that pilots have heights between 64 in. and 77 in.

A) What is the probability that a random sample of 10 males will have a mean height greater than 6 feet (72 inches)?

B) What height for males represents the 90th percentile?

C) Suppose a random sample of 32 males has a mean height of 67.8 inches. What would the probability of seeing this sample mean?

D) Given your probability from part C, what conclusion would you make about the stated value of the population mean of 69.3? Explain your answer.

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orchestra answered 2 years ago

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