### Acceptance Sampling Plan for Canned Food Products**Concept Overview:**A manufacturer produces lots of canned food products. Let $ p $ denote the proportion of the lots that do not meet the product quality specifications. An acceptance sampling plan is used where $ n = 33 $ and $ c = 0 $ to determine if a lot should be accepted or rejected.#### (a) Operating Characteristic (OC) Curve DataThe table below provides computed points on the operating characteristic curve for different values of $ p $ (defect proportion):- $ p = 0.01 $- $ p = 0.03 $- $ p = 0.10 $- $ p = 0.20 $| $ c $ | $ p = 0.01 $ | $ p = 0.03 $ | $ p = 0.10 $ | $ p = 0.20 $ ||:------:|:---------:|:---------:|:---------:|:---------:|| 0 | 0.7177 | 0.3660 | 0.0309 | 0.0008 |#### (b) OC Curve VisualizationThe OC curve is pivotal in acceptance sampling as it illustrates the probability of accepting a lot given a certain proportion of defectives. Below are four graphs, each plotting "Probability of Accepting the Lot" against "Percent Defective in the Lot". The correct plot corresponding to the provided data is indicated.1. **First Graph**: - X-axis: Percent Defective in the Lot - Y-axis: Probability of Accepting the Lot - This plot shows a declining trend from approximately 0.98 to nearly 0 as the defectives increase from 0 to 20 percent.2. **Second Graph**: - X-axis: Percent Defective in the Lot - Y-axis: Probability of Accepting the Lot - Featuring a steep decline from 1.00 to just above zero as defectives increase from 0 to 20 percent.3. **Third Graph** (Incorrect Selection): - X-axis: Percent Defective in the Lot - Y-axis: Probability of Accepting the Lot - Incorrect as the probabilities tend to remain higher beyond the acceptable defectives range.4. **Fourth Graph** (

Since the (a) and (b) parts have already been correctly solved, I have solved the (c) part in the…

Answered: A manufacturer produces lots of a…

Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A machine cuts circular filters from large rolls of material. The diameters of the filters are normally distributed with a mean of 2.00 cm and a standard deviation of 0.02 cm. Specifications call for the filters to have diameters between 1.95 cm and 2.03 cm. What percent of production does not meet specifications
An operator wants to determine the standard deviation for a machine she operates. To do this, she wants to create a p-chart. Over a month's time, she collects 30 samples of 75 observations each and records the number of errors. The average proportion defective is found to be 0.024. Which of the following is the standard deviation () of the machine? a. More than 0.5 but less than or equal to 1.0 b. More than 1.0 c. Less than or equal to 0.1 d. More than 0.1 but less than or equal to 0.5
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Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean of 8.00 and a standard deviation of .04. Your desired performance is = 8.0 ± 30, where o = 0.047. Is the following statement true or false? Can Boardman produce the valve within the specified tolerance? (TRUE=yes, it can; FALSE=no, it cannot) O True O False
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Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Next
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