Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. What is the probability that an 18 year old man selected at random is between 70 and 72 inches tall?  if random sample of twenty-nine 18 year old men is selected, what is the probability that the mean height x is between 70 and 72 inches?  compare your answers to parts a and b. Is the probability in part b much higher? Why

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches.

What is the probability that an 18 year old man selected at random is between 70 and 72 inches tall? 

if random sample of twenty-nine 18 year old men is selected, what is the probability that the mean height x is between 70 and 72 inches? 

compare your answers to parts a and b. Is the probability in part b much higher? Why

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