The lengths of lumber a machine cuts are normally distributed, with a mean of 96 inches and

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The lengths of lumber a machine cuts are normally distributed, with a mean of 96 inches and a standard deviation of 0.5 inch.

(a) What is the probability that a randomly selected board cut by the machine has a length greater than 96.25 inches?

(b) You randomly select 40 boards. What is the probability that their mean length is greater than 96.25 inches?

(c) Compare the probabilities from parts (a) and (b).

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Elementary Statistics Picturing The World

ISBN: 9780321911216

6th Edition

Authors: Ron Larson, Betsy Farber

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