Question
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.
A manufacturer produces lots of a canned food product. Letpdenote the proportion of the lots that do not meet the product quality specifications. An
n=23,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.)
c | p= 0.01 | p= 0.03 | p= 0.10 | p= 0.20 |
---|---|---|---|---|
0 |
(b)Plot the operating characteristic curve.
A graph has a single curve on it. The horizontal axis is labeled Percent Defective in the Lot and ranges from 0 to 22. The vertical axis is labeled Probability of Accepting the Lot and ranges from 0.00 to 1.00. The curve starts at (0, 1.00) and goes down and to the right approximately through the points (1, 0.79), (3, 0.50), (10, 0.09), and (20, 0.01).
A graph has a single curve on it. The horizontal axis is labeled Percent Defective in the Lot and ranges from 0 to 22. The vertical axis is labeled Probability of Accepting the Lot and ranges from 0.00 to 1.00. The curve starts at (0, 1.00) and goes down and to the right approximately through the points (1, 0.92), (3, 0.78), (10, 0.43), and (20, 0.17).
A graph has a single curve on it. The horizontal axis is labeled Percent Defective in the Lot and ranges from 0 to 22. The vertical axis is labeled Probability of Accepting the Lot and ranges from 0.00 to 1.00. The curve starts at (0, 1.00) and goes down and to the right approximately through the points (1, 0.88), (3, 0.67), (10, 0.25), and (20, 0.05).
A graph has a single curve on it. The horizontal axis is labeled Percent Defective in the Lot and ranges from 0 to 22. The vertical axis is labeled Probability of Accepting the Lot and ranges from 0.00 to 1.00. The curve starts at (0, 1.00) and goes down and to the right approximately through the points (1, 0.94), (3, 0.84), (10, 0.56), and (20, 0.31).
(c)What is the probability that the acceptance sampling plan will reject a lot containing0.01defective? (Round your answer to four decimal places.)
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