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(Problem 12) Human heights are known to be normally distributed.Men have a mean height of 70 inches and females a mean height of 64 inches.Both

(Problem 12)Human heights are known to be normally distributed.Men have a mean height of 70 inches and females a mean height of 64 inches.Both have apopulationstandard deviation of 3 inches.

(a - 2 points) Find the 1stQuartile (Q1) of the male height distribution

(b - 2 points) What is the probability that a randomly selected female is above 68 inches height?

(c - 2 points) Assume a random sample of 100 males is selected. What is the standard deviation of the sample mean? See pages 206-207 in your text.

(d - 2 points) For a sample size of 100 males, find the probability the sample mean is above 72 inches?

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