Amertron produces electrical wiring in 100-foot rolls. The quality inspection process involves selecting rolls of wire at random and counting the number of de- fects on each roll. The last 20 rolls examined revealed the following numbers of defects: Roll Number of Defects Roll Number of Defects 1 4 11 6 12 13 4 4 14 7 5 1 15 4 9 16 8 7 5 17 6. 8 5 18 4 9 3 19 10 3 20 4 a. If the number of defects per 100-foot roll of wire follows a Poisson distribution, what is the estimate of c obtained from these observations? b. Using a normal approximation to the Poisson, what are the three-sigma control limits that you would use to monitor this process? c. Are all 20 observations within the control limits?

Amertron produces electrical wiring in 100-foot rolls. The quality inspection process involves selecting rolls of wire at random and counting the number of de- fects on each roll. The last 20 rolls examined revealed the following numbers of defects: Roll Number of Defects Roll Number of Defects 1 4 11 6 12 13 4 4 14 7 5 1 15 4 9 16 8 7 5 17 6. 8 5 18 4 9 3 19 10 3 20 4 a. If the number of defects per 100-foot roll of wire follows a Poisson distribution, what is the estimate of c obtained from these observations? b. Using a normal approximation to the Poisson, what are the three-sigma control limits that you would use to monitor this process? c. Are all 20 observations within the control limits?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 91P

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