Exam 18: Statistical Process Control

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A c-chart is appropriate to plot the number of flaws in a bolt of fabric.

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Some degree of variability is present in almost all processes.

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In the table below are selected values for the OC curve associated with the acceptance sampling plan n = 50,c = 1.(Watch out-the points are not evenly spaced. )Assume that upon failed inspection,defective items are replaced.Calculate the AOQ for each data point.(You may assume that the population is much larger than the sample. )Plot the AOQ curve.At approximately what population defective rate is the AOQ at its worst? Explain how this happens.How well does this plan meet the specifications of AQL = 0.0050,α = 0.05;LTPD = 0.05,β = 0.10? Discuss. In the table below are selected values for the OC curve associated with the acceptance sampling plan n = 50,c = 1.(Watch out-the points are not evenly spaced. )Assume that upon failed inspection,defective items are replaced.Calculate the AOQ for each data point.(You may assume that the population is much larger than the sample. )Plot the AOQ curve.At approximately what population defective rate is the AOQ at its worst? Explain how this happens.How well does this plan meet the specifications of AQL = 0.0050,α = 0.05;LTPD = 0.05,β = 0.10? Discuss.

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A process that is assumed to be in control with limits of 89 +/- 2 had sample averages of the following- 87.1,87,87.2,89,90,89.5,88.5,and 88.Is the process in control?

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Jars of pickles are sampled and weighed.Sample measures are plotted on control charts.The ideal weight should be precisely 11 oz.Which type of chart(s)would you recommend?

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A retail store manager is trying to improve and control the rate at which cashiers sign customers up for store credit cards.Suppose that the manager wants the maximum standard deviation of the sampling distribution to be 5% and he cannot estimate p-bar.How many observations per sample would this require?

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A small,independent amusement park collects data on the number of cars with out-of-state license plates.The sample size is fixed at n=25 each day.Data from the previous 10 days indicate the following number of out-of-state license plates: A small,independent amusement park collects data on the number of cars with out-of-state license plates.The sample size is fixed at n=25 each day.Data from the previous 10 days indicate the following number of out-of-state license plates:    (a)Calculate the overall proportion of tourists (cars with out-of-state plates)and the standard deviation of proportions. (b)Using ± 3σ limits,calculate the LCL and UCL for these data. (c)Is the process under control? Explain. (a)Calculate the overall proportion of "tourists" (cars with out-of-state plates)and the standard deviation of proportions. (b)Using ± 3σ limits,calculate the LCL and UCL for these data. (c)Is the process under control? Explain.

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The statistical process chart used to control the number of defects per unit of output is the

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Why doesn't acceptance sampling remove all defects from a batch?

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An operator trainee is attempting to monitor a filling process that has an overall average of 705 cc.The average range is 17 cc.If you use a sample size of 6,what are the upper and lower control limits for the x-bar and R chart?

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The x-bar chart indicates that a gain or loss of uniformity has occurred in dispersion of a production process.

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Pierre's Motorized Pirogues and Mudboats is setting up an acceptance sampling plan for the special air cleaners he manufactures for his boats.His specifications,and the resulting plan,are shown on the POM for Windows output below.Pierre is a bit confused.He mistakenly thinks that acceptance sampling will reject all bad lots and accept all good lots.Explain why this will not happen. Pierre's Motorized Pirogues and Mudboats is setting up an acceptance sampling plan for the special air cleaners he manufactures for his boats.His specifications,and the resulting plan,are shown on the POM for Windows output below.Pierre is a bit confused.He mistakenly thinks that acceptance sampling will reject all bad lots and accept all good lots.Explain why this will not happen.

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Larry's boat shop wants to monitor the number of blemishes in the paint of each boat.Construct a 3-sigma c-chart to determine if their paint process is in control using the following data. Larry's boat shop wants to monitor the number of blemishes in the paint of each boat.Construct a 3-sigma c-chart to determine if their paint process is in control using the following data.

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The ________ is the chief way to control attributes.

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If the Cpk index exceeds 1

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The ________ are calculated to show how much allowance should be made for natural variation.

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A run test is used

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Statistical process control charts

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For an x-bar chart where the standard deviation is known,the Upper Control Limit

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In most acceptance sampling plans,when a lot is rejected,the entire lot is inspected and all defective items are replaced.When using this technique the AOQ

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