14. A manufacturer of photographic film produces an average of 12,000 rolls of vari- ous types of film each day. An inspector samples 25 from each day's production and tests them for accuracy of color reproduction and overall film quality. During 12.3 Control Charts for Attributes: The p Chart 687 23 consecutive production days, the inspector rejected the following numbers of rolls of film: Day Number Rejected Day Number Rejected 1 2 13 1 2 3 3 14 1 15 16 4 1 3 17 4 18 2 3 7 7 19 8 20 21 22 1 1 2 2 10 11 23 1 12 a. Based on these observations, compute three-sigma limits for a p chart. b. Do any of the points fall outside the control limits? If so, recompute the three-sigma limits after eliminating the out-of-control points. mm

Practical Management Science
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Author:WINSTON, Wayne L.
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14. A manufacturer of photographic film produces an average of 12,000 rolls of vari-
ous types of film each day. An inspector samples 25 from each day's production
and tests them for accuracy of color reproduction and overall film quality. During
12.3 Control Charts for Attributes: The p Chart 687
23 consecutive production days, the inspector rejected the following numbers of
rolls of film:
Day
Number Rejected
Day Number Rejected
1
2
13
1
2
3
3
14
1
15
16
4
1
3
17
4
18
2
3
7
7
19
8
20
21
22
1
1
2
2
10
11
23
1
12
a. Based on these observations, compute three-sigma limits for a p chart.
b. Do any of the points fall outside the control limits? If so, recompute the
three-sigma limits after eliminating the out-of-control points.
mm
Transcribed Image Text:14. A manufacturer of photographic film produces an average of 12,000 rolls of vari- ous types of film each day. An inspector samples 25 from each day's production and tests them for accuracy of color reproduction and overall film quality. During 12.3 Control Charts for Attributes: The p Chart 687 23 consecutive production days, the inspector rejected the following numbers of rolls of film: Day Number Rejected Day Number Rejected 1 2 13 1 2 3 3 14 1 15 16 4 1 3 17 4 18 2 3 7 7 19 8 20 21 22 1 1 2 2 10 11 23 1 12 a. Based on these observations, compute three-sigma limits for a p chart. b. Do any of the points fall outside the control limits? If so, recompute the three-sigma limits after eliminating the out-of-control points. mm
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