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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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The mean breaking strength of a ceramic insulator must be

Chapter 9, Problem 132E

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QUESTION:

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.31 psi and 0.22 psi, respectively. (a) State the appropriate hypotheses that must be tested to demonstrate equivalence. (b) What are your conclusions using ? = 0.05?

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QUESTION:

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.31 psi and 0.22 psi, respectively. (a) State the appropriate hypotheses that must be tested to demonstrate equivalence. (b) What are your conclusions using ? = 0.05?

ANSWER:

Step 1 of 3

Given:

The sample number of insulators available is .

The sample mean breaking strength is  psi.

The sample standard deviation of breaking strength is  psi.

 

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