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Name: Two new machines for producing tires have been proposed by a worker in
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Description: Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believes there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 9 tires produced by m

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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Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believes there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 9 tires produced by machine 1 and 7 tires produced by machine 2 were randomly selected. It is known from previous experience that the strength of a tire produced using machine 1 is a normal random variable with standard deviation equals to 3. And the strength of a tire produced using machine 2 is also a normal random variable with standard deviation equals to 4. use the following information to answer the following questions: 1. Find the estimated difference mean strength of tires produced using both machines [X-X) 2. What is the value of the test statistic : ii. If p-value was found equal to 0.12, What is the appropriate conclusion?

Machine 1 Machine 2
5.5
2.3
3.6
3.2
3.6
3.5
4.5
5.4
4.0
5,4
2.8
2.0
2.7
3.5
1.8
4.5

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