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The quality-control plan for a certain production pro­cess

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

Solution for problem 1E Chapter 10.2

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 1E

The quality-control plan for a certain production process involves taking samples of size 4 . The results from the last 30 samples can be summarized as follows:

\(\sum_{i=1}^{30} \overline{X}_{i}=712.5\)   \(\sum_{i=1}^{30} R_{i}=143.7\)   \(\sum_{i=1}^{30} s_{i}=62.5\)

a. Compute the \(3\sigma\) control limits for the  chart.

b. Compute the \(3\sigma\) control limits for the  chart.

c. Using the sample ranges, compute the \(3\sigma\) control limits for the \(\overline X\) chart.

d. Using the sample standard deviations, compute the \(3\sigma\) control limits for the \(\overline X\) chart.

Equation Transcription:

Text Transcription:

sum_{i=1}^{30} overline{X}_{i}=712.5

sum_{i=1}^{30} R_{i}=143.7

sum_{i=1}^{30} s_{i}=62.5

3{sigma}

3{sigma}

3{sigma}

overline{X}

3{sigma}

overline{X}

Step-by-Step Solution:
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Chapter 10.2, Problem 1E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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The quality-control plan for a certain production pro­cess