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sChartIn this section we described control charts

Chapter 14, Problem 13 BSC

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QUESTION:

13. s Chart In this section we described control charts for R and \(\mathrm x\ ^{-}\) based on ranges. Control charts for monitoring variation and center (mean) can also be based on standard deviations. An s chart for monitoring variation is constructed by plotting sample standard deviations with centerline at \(\mathrm s\ ^{-}\) (the mean of the sample standard deviations) and control limits at \(\mathrm {B\ 4\ s\ ^{-}}\) and \(\mathrm {B\ 3\ s\ ^{-}}\), where B 4 and B 3 are found in Table 14­2 in this section. Construct an s chart for the data of Table 14-­1. Compare the result to the R chart given in Example 3.

Equation Transcription:

Text Transcription:

x ^-

s ^-

B 4 s ^-

B 3 s ^-

Questions & Answers

QUESTION:

13. s Chart In this section we described control charts for R and \(\mathrm x\ ^{-}\) based on ranges. Control charts for monitoring variation and center (mean) can also be based on standard deviations. An s chart for monitoring variation is constructed by plotting sample standard deviations with centerline at \(\mathrm s\ ^{-}\) (the mean of the sample standard deviations) and control limits at \(\mathrm {B\ 4\ s\ ^{-}}\) and \(\mathrm {B\ 3\ s\ ^{-}}\), where B 4 and B 3 are found in Table 14­2 in this section. Construct an s chart for the data of Table 14-­1. Compare the result to the R chart given in Example 3.

Equation Transcription:

Text Transcription:

x ^-

s ^-

B 4 s ^-

B 3 s ^-

ANSWER:

Solution13BSC

The s chart created in Minitab for the above data is as follows:

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