The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a standard deviation of 0.4inch.   ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 88.17​inches?   ​(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 88.17​inches?   ​(a) The probability is ​(b) The probability is

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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The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a standard deviation of 0.4inch.
 
​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 88.17​inches?
 
​(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 88.17​inches?
 
​(a) The probability is
​(b) The probability is
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