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?
