Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believe there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 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: Machine 1 Machine 2 6.5 1.0 6.7 2.5 5.8 3.2 4.9 3.1 5.3 4.5 4.0 5.7 3.1 1.5 5.7 4.3 i. Find the estimated difference mean strength of tires produced using both machines [ X-X2).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Test the hypothesis
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:
Machine 1 Machine 2
6.5
1.0
6.7
2.5
5.8
3.2
4.9
3.1
5.3
4.5
4.0
5.7
3.1
1.5
5.7
4.3
i. Find the estimated difference mean strength of tires produced using both machines [X1-X2].
700
Transcribed Image Text: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: Machine 1 Machine 2 6.5 1.0 6.7 2.5 5.8 3.2 4.9 3.1 5.3 4.5 4.0 5.7 3.1 1.5 5.7 4.3 i. Find the estimated difference mean strength of tires produced using both machines [X1-X2]. 700
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