Suppose the heights of 18-year-old men are approximately

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Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 2 inches.

(a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall?

(b) If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches?

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

Reference no: EM13632200

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