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Name: A machine is set to produce bolts with a mean length of 1 inch. Bolts
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Description: A machine is set to produce bolts with a mean length of 1 inch. Bolts that are too long or too short do not meet the customer’s specifications and must be rejected. To avoid producing too many rejects, the bolts produced by the machine are sampled fr

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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A machine is set to produce bolts with a mean length of 1 inch. Bolts that are too long or too short do not meet the customer’s specifications and must be rejected. To avoid producing too many rejects, the bolts produced by the machine are sampled from time to time and tested as a check to see whether the machine is still operating properly. Suppose fifty-one bolts have been sampled, and x =1.02 and s=.04. Do the data provide sufficient evidence to conclude that the machine is producing bolts with a mean length not equal to 1 inch? Conduct hypothesis test using a=.05. Use the traditional approach and the p-value approach to hypothesis testing! Show all of the steps of the hypothesis test for each approach.

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