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The heights of American men aged 18 to 24 are normally distributed with a mean of 68 and a standard deviation of 2.5 inches. Answer

The heights of American men aged 18 to 24 are normally distributed with a mean of 68 and a standard deviation of 2.5 inches. Answer the following questions.

Half of all young men are taller than ?

About 95% of all young men have heights between ?

What is the probability that a man selected at random will have a height above 72 inches? Use your standard score table.

Suppose you took a sample of 49 men, what is the probability that their mean height is greater than 67 inches? Use your standard score table.

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