18. 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 2 2 12 5 3 13 5 4 4 14 7 1 15 16 4 8 7 17 8 18 19 4 3 3 10 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?
18. 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 2 2 12 5 3 13 5 4 4 14 7 1 15 16 4 8 7 17 8 18 19 4 3 3 10 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.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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
Transcribed Image Text:18. 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
2
2
12
5
3
13
5
4
4
14
7
1
15
16
4
8
7
17
8
18
19
4
3
3
10
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?
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