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A certain process for manufacturing integrated circuits

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 5E Chapter 1.1

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 5E

A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 12 were defective.

a. One of the engineers suggests that the test proves that the new process is no better than the old process, since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.

b.        Assume that there had been only 11 defective circuits in the sample of 100. Would this have proven that the new process is better? Explain.

c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?

Step-by-Step Solution:

Answer

Step 1 of 3</p>

a) No,

    Because of sampling variation

    We don’t know exactly the proportion of defective circuits produced by the new system

    We can only say that the proportion of defective circuits is close to 12%

    We can’t say the weather  proportion of defective circuits are more than 12%,

     or equal to 12%, or less than 12%.

     Hence we can’t conclude that new process is not better.

Step 2 of 3</p>

 b) No, Because of sampling fluctuation,

     The no. of defectives defective circuits 11 is very close to 12

      Hence It is not proven that the new process is better.

Step 3 of 3

Chapter 1.1, Problem 5E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

The answer to “A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 12 were defective.a. One of the engineers suggests that the test proves that the new process is no better than the old process, since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.________________b. Assume that there had been only 11 defective circuits in the sample of 100. Would this have proven that the new process is better? Explain.________________c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?” is broken down into a number of easy to follow steps, and 147 words. Since the solution to 5E from 1.1 chapter was answered, more than 508 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5E from chapter: 1.1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: process, Circuits, sample, new, defective. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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