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A process is being monitored with a fraction nonconforming control chart. The process average has been shown to be 0.04. Three-sigma control limits are used, and the procedure calls for taking daily samples of 300 items. Calculate the upper and lower control limits. If the process average should suddenly shift to 0.12, what is the probability that the shift would be detected on the first day after the shift? What is the probability that the shift would be detected by the end of the third day following the shift?

A process is being monitored with a fraction nonconforming control chart. The process average has been shown to be 0.04. Three-sigma control limits are used, and the procedure calls for taking daily samples of 300 items. Calculate the upper and lower control limits. If the process average should suddenly shift to 0.12, what is the probability that the shift would be detected on the first day after the shift? What is the probability that the shift would be detected by the end of the third day following the shift?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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  • A process is being monitored with a fraction nonconforming control chart. The process average has been shown to be 0.04. Three-sigma control limits are used, and the procedure calls for taking daily samples of 300 items.

Calculate the upper and lower control limits.

If the process average should suddenly shift to 0.12, what is the probability that the shift would be detected on the first day after the shift?

What is the probability that the shift would be detected by the end of the third day following the shift?

 

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Transcribed Image Text:Operator 1 Measurements Operator 2 Measurements Part Number 1 2 1 19 23 2 24 25 3 22 24 4 20 23 5 18 21 6 22 19 7 21 8 18 9 24 10 26 2222 24 20 23 32222222222 1 2 20 25 24 2222 25 27 18 16 24 27 21 20 27 25 21 23 24 21 26 24 2222 23 25 21 23 18 15 20 20 32222222222 25 20
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