Suppose men's heights are normally distributed with mean of 176 cm and variance of 25cm^2. A....

Suppose men's heights are normally distributed with mean of 176 cm and variance of 25cm^2.

A. What proportion of mean are between 172 cm and 178 cm tall?

B. Find the minimum ceiling of an airplane such that at most 2% of the men walking down the aisle will have to duck their heads.

C. Suppose you take a random sample of 6 men. What is the sampling distribution of the sample mean height? Why?

D. Find the probability that the average height of a random sample of 64 men is greater than 178cm. If these heights were not normally distributed, would you still be able to answer the question? why or why not?

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Expert Solution

milcah answered 10 months ago

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