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Suppose the heights of 18-year-old men are approximately normally distributed , with mean71inches 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 mean71inches and standard deviation3inches.

(a) What is the probability that an 18-year-old man selected at random is between70and72inches tall? (Round your answer to four decimal places.)

(b) If a random sample ofthirteen18-year-old men is selected, what is the probability that the mean heightxis between70and72inches? (Round your answer to four decimal places.)

(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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