Posted by tina on .
Assume that the population of heights of female college students is approximately normally distributed with mean m of 67.26 inches and standard deviation s of 5.96 inches. A random sample of 78 heights is obtained. Show all work.
(A) Find
(B) Find the mean and standard error of the distribution
(C) Find
(D) Why is the formula required to solve (A) different than (C)?
(Points : 12)

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Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?