A manufacturer wishes to maintain a process average of 0.5% nonconforming product or less. 1,500 units are produced per day, and 2 days' runs are combined to form a shipping lot. It is decided to sample 250 units each day and use an np chart to control production. (a) Find the 3-sigma control limits for this process. (b) Assume that the process shifts from 0.5 to 4% nonconforming product. Appendix A-2 to find the probability that the shift will be detected as the result of the first day's sampling after the shift occurs.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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A manufacturer wishes to maintain a process average of 0.5% nonconforming product or less. 1,500 units
are produced per day, and 2 days' runs are combined to form a shipping lot. It is decided to sample 250
units each day and use an np chart to control production.
(a) Find the 3-sigma control limits for this process.
(b) Assume that the process shifts from 0.5 to 4% nonconforming product. Appendix A-2 to find the
probability that the shift will be detected as the result of the first day's sampling after the shift occurs.
Transcribed Image Text:A manufacturer wishes to maintain a process average of 0.5% nonconforming product or less. 1,500 units are produced per day, and 2 days' runs are combined to form a shipping lot. It is decided to sample 250 units each day and use an np chart to control production. (a) Find the 3-sigma control limits for this process. (b) Assume that the process shifts from 0.5 to 4% nonconforming product. Appendix A-2 to find the probability that the shift will be detected as the result of the first day's sampling after the shift occurs.
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