The heights of 20-year old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches (based on information from Statistical Abstract of the United States, 112 edition) a) What is the probability that 20 year old men selected at random is between 67 and 69 inches tall? b) If a random sample of nine 20 year old men is selected, what is the probability that the mean height X is between 67 and 69 inches? c) Compare your answers for parts (a) and (b). Was the probability in part (b) much higher? Why would you expect this?

The heights of 20-year old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches (based on information from Statistical Abstract of the United States, 112 edition) a) What is the probability that 20 year old men selected at random is between 67 and 69 inches tall? b) If a random sample of nine 20 year old men is selected, what is the probability that the mean height X is between 67 and 69 inches? c) Compare your answers for parts (a) and (b). Was the probability in part (b) much higher? Why would you expect this?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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