(a) What is the probability that a randomly selected board cut by the machine has a length greater than 104.16 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 104.16 inches?

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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The lengths of lumber a machine cuts are normally distributed with a mean of 104 inches and a standard deviation of 0.6 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 104.16 inches?
(b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 104.16 inches?
Transcribed Image Text:The lengths of lumber a machine cuts are normally distributed with a mean of 104 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 104.16 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 104.16 inches?
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