Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods vary slightly. It is known that when the machine is working properly, the mean length of the rods made on this machine is 36 inches. The standard deviation of the length of all rods produced on this machine is 0.035 inches. The quality control department takes a sample of 20 such rods every week and calculates the mean length of these rods. The quality control department manager claims that the machine is working
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods vary slightly. It is known that when the machine is working properly, the mean length of the rods made on this machine is 36 inches. The standard deviation of the length of all rods produced on this machine is 0.035 inches. The quality control department takes a sample of 20 such rods every week and calculates the mean length of these rods. The quality control department manager claims that the machine is working
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 1
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine
that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods vary
slightly. It is known that when the machine is working properly, the mean length of the rods made on
this machine is 36 inches. The standard deviation of the length of all rods produced on this machine is
0.035 inches. The quality control department takes a sample of 20 such rods every week and calculates
the mean length of these rods. The quality control department manager claims that the machine is
working properly. A recent sample of 20 rods produced a mean length of 36.015 inches. Test this claim
at 1% significance level. Assume that the lengths of all such rods have a normal distribution .
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