Exam 26: Statistical Process Control

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The local newspaper receives several complaints per day about typographic errors. Over a seven-day period, the publisher has received calls from readers reporting the following number of errors: 4, 3, 2, 6, 7, 3, and 9. Based on these data alone, what type of control chart(s) should the publisher use?

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Define consumer's risk. How does it relate to the errors of hypothesis testing? What is the symbol for its value?

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The defect rate for a product has historically been about 1.6%. What are the upper and lower control chart limits for a p-chart, if you wish to use a sample size of 100 and 3-sigma limits?

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Which of the following statements on acceptance sampling is true?

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Up to three standard deviations above or below the centerline is the amount of variation that statistical process control allows for

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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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What is the difference between the process capability ratio Cp and the process capability index Cpk?

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What are the three possible results (or findings) from the use of control charts?

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Which of the following is true regarding the process capability index Cpk?

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Average outgoing quality (AOQ) usually

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A manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 16.01, and the average range is 5.3. From Table S6.1 in the text, the appropriate value of D3 is 0, and D4 is 2.115. The UCL and LCL for this range chart are

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If xˉ\bar x = 23 ounces, ? = 0.4 ounces, and n = 16, the ±3? control limits will be

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Acceptance sampling

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The mean and standard deviations for a process are μ = 90 and σ = 9. For the variable control chart, a sample size of 16 will be used. Calculate the standard deviation of the sampling distribution.

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In the table below are selected values for the OC curve for the acceptance sampling plan n = 210, c = 6. 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 = 0.015, α = 0.05; LTPD = 0.05, β = 0.10? Discuss. Population percent defective Probability of acceptance 0.00 1.00000 0.01 0.99408 0.02 0.86650 0.03 0.55623 0.04 0.26516 0.05 0.10056 0.06 0.03217 0.07 0.00905 0.08 0.00231 0.09 0.00054 0.10 0.00012

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

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Producer's risk is the probability of

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The mean and standard deviation for a process for which we have a substantial history are μ = 120 and σ = 2. For the x-bar chart, a sample size of 16 will be used. What is the mean of the sampling distribution?

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A Cpk index of 1.00 equates to a defect rate of

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Which of the following is true about cutting costs at Canada Bankers Life Assurance Company?

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