Solved: What is the probability of the mean height, Basic Statistics

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What is the probability of the mean height

Discuss the below:

The heights of 18 year old men are approximately normally distributed with mean 68 inches and a SD of 3 inches.

A. What is the probability that an 18 year old selected at random is between 67 and 69 inches tall?

B. If a random sample of 9 18 year olds men is selected, what is the probability of the mean height x is between 67 and 69 inches?

C. Compare answers for A and B. Is the probability in part B much higher? Why would you expect this?

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