The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a standadi deviation of 03 inch (a) What is the probability that a randomly selected board cut by the machine has a length greater than 95,11 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 95.11 inches?
The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a standadi deviation of 03 inch (a) What is the probability that a randomly selected board cut by the machine has a length greater than 95,11 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 95.11 inches?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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![The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a standads deviation of 0.3 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 95.11 inches?
(b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 95. 11 inches?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96d57383-316e-4566-867f-bf57fac3a5c8%2Feab1c856-3657-47fe-9b71-de9862887d88%2Fbtced6j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a standads deviation of 0.3 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 95.11 inches?
(b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 95. 11 inches?
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