Exam 19: Statistical Process Control

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What is acceptance sampling?

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A process range chart illustrates the amount of dispersion within the samples.

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A manager wants to build 3-sigma x-bar control limits for a process.The target value for the mean of the process is 10 units,and the standard deviation of the process is 6.If samples of size 9 are to be taken,what will be the upper and lower control limits,respectively?

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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 chart and R-chart?

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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 wants acceptance sampling to remove ALL defects from his production of air cleaners.Explain carefully why this won't 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 wants acceptance sampling to remove ALL defects from his production of air cleaners.Explain carefully why this won't happen.

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In acceptance sampling,a manager can reach the wrong conclusion if the sample is not representative of the population it was drawn from.

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A nationwide parcel delivery service keeps track of the number of late deliveries (more than 30 minutes past the time promised to clients)per day.They plan on using a control chart to plot their results.Which type of control chart(s)would you recommend?

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Plots of sample ranges indicate that the most recent value is below the lower control limit.What course of action would you recommend?

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Natural variations:

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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 the manager takes 10 samples,each with 100 observations.The p-bar value is found to be .05,and the manager does not want a lower limit below .0064.What z-value would this imply,and how confident can she be that the true lower limit is greater than or equal to .0064?

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What is the purpose of the Operating Characteristics curve?

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The Cpk index measures the difference between the desired and actual dimensions of goods or services produced.

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Define consumer's risk.Is it a Type I or Type II error? What is the symbol for its value?

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A Type II error occurs when:

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Red Top Cab Company receives multiple complaints per day about driver behavior.Over 9 days the owner recorded the number of calls to be 3,0,8,9,6,7,4,9,and 8.What is the upper control limit for the 3-sigma c-chart?

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If a sample of items is taken and the mean of the sample is outside the control limits,the process is:

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Acceptance sampling's primary purpose is to:

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Which of the following is TRUE regarding the average outgoing quality level?

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The number of defects after a hotel room cleaning (sheets not straight,smears on mirror,missed debris on carpet,etc)should be measured using what type of control chart?

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The process capability measures Cp and Cpk differ because:

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