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

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Basic Math

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

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

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

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

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

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