A manufacturer produces lots of a canned food product. Let p denote the proportion of the lots that do not meet the product quality specifications. An n = 33, c = 0 acceptance sampling plan will be used. (a) Compute points on the operating characteristic curve when p = 0.01, 0.03, 0.10, and 0.20. (Round your answers to four decimal places.) с p = 0.01 P = 0.03 p = 0.10 P = 0.20 0 0.7177 0.3860 (b) Plot the operating characteristic curve. 1.00 0.80 0.60 0.40 0.20 0.00 5 15 10 Percent Defective in the Lot 5 10 15 20 Percent Defective in the Lot 5 10 20 15 Percent Defective in the Lot 5 10 15 Percent Defective in the Lot (c) What is the probability that the acceptance sampling plan will reject a lot containing 0.03 defective? (Round your answer to four decimal places.) 0.5331 X Probability of Accepting the Lot Probability of Accepting the Lot 1.00 0.80 + 0.60+ 0.40 0.20 0.00 0.0309 20 20 Probability of Accepting the Lot Probability of Accepting the Lot 1.00 0.80 0.60 0.40 0.20+ 0.00 1.00 0.80 + 0.60+ 0.40 0.20 0.00 0.0006

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A manufacturer produces lots of a canned food product. Let p denote the proportion of the lots that do not meet the product quality specifications. An n = 33, c = 0 acceptance
sampling plan will be used.
(a) Compute points on the operating characteristic curve when p = 0.01, 0.03, 0.10, and 0.20. (Round your answers to four decimal places.)
p = 0.01
p = 0.03
p = 0.10
P = 0.20
0 0.7177
0.3860
(b) Plot the operating characteristic curve.
1.00
0.80
0.60
0.40
0.20
0.00
5
15
10
Percent Defective in the Lot
5
10
15
20
Percent Defective in the Lot
5
15
20
10
Percent Defective in the Lot
5
10
15
Percent Defective in the Lot
(c) What is the probability that the acceptance sampling plan will reject a lot containing 0.03 defective? (Round your answer to four decimal places.)
0.5331
X
Probability of Accepting the Lot
Probability of Accepting the Lot
1.00
0.80 +
0.60+
0.40
0.20
0.00
0.0309
20
20
Probability of Accepting the Lot
Probability of Accepting the Lot
1.00
0.80
0.60
0.40
0.20+
0.00
1.00
0.80 +
0.60+
0.40
0.20
0.00
0.0006
Transcribed Image Text:A manufacturer produces lots of a canned food product. Let p denote the proportion of the lots that do not meet the product quality specifications. An n = 33, c = 0 acceptance sampling plan will be used. (a) Compute points on the operating characteristic curve when p = 0.01, 0.03, 0.10, and 0.20. (Round your answers to four decimal places.) p = 0.01 p = 0.03 p = 0.10 P = 0.20 0 0.7177 0.3860 (b) Plot the operating characteristic curve. 1.00 0.80 0.60 0.40 0.20 0.00 5 15 10 Percent Defective in the Lot 5 10 15 20 Percent Defective in the Lot 5 15 20 10 Percent Defective in the Lot 5 10 15 Percent Defective in the Lot (c) What is the probability that the acceptance sampling plan will reject a lot containing 0.03 defective? (Round your answer to four decimal places.) 0.5331 X Probability of Accepting the Lot Probability of Accepting the Lot 1.00 0.80 + 0.60+ 0.40 0.20 0.00 0.0309 20 20 Probability of Accepting the Lot Probability of Accepting the Lot 1.00 0.80 0.60 0.40 0.20+ 0.00 1.00 0.80 + 0.60+ 0.40 0.20 0.00 0.0006
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