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Suppose the heights of 18-year-old men are approximately normally distributed , with mean66inches and standard deviation3inches. (a) What is the probability that an 18-year-old man

Suppose the heights of 18-year-old men are approximatelynormally distributed, with mean66inches and standard deviation3inches.

(a) What is the probability that an 18-year-old man selected at random is between65and67inches tall?

(b) If a random sample oftwenty18-year-old men is selected, what is the probability that the mean heightxis between65and67inches?

(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

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