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?

Expert Solution

milcah answered 1 year ago

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