Exam 20: Statistical Process Control

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

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Acceptance sampling:

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Under which of the following situations will the average outgoing quality (AOQ)decrease?

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If If   = 23 ounces,σ = 0.4 ounces,and n = 16,what will be the ±3σ control limits for the x-bar chart? = 23 ounces,σ = 0.4 ounces,and n = 16,what will be the ±3σ control limits for the x-bar chart?

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A part that connects two levels should have a distance between the two holes of 4".It has been determined that x-bar and R-charts should be set up to determine if the process is in statistical control.The following ten samples of size four were collected.Calculate the control limits,plot the control charts,and determine if the process is in control. A part that connects two levels should have a distance between the two holes of 4.It has been determined that x-bar and R-charts should be set up to determine if the process is in statistical control.The following ten samples of size four were collected.Calculate the control limits,plot the control charts,and determine if the process is in control.

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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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A bank's manager has videotaped 20 different teller transactions to observe the number of mistakes being made.Ten transactions had no mistakes,five had one mistake and five had two mistakes.Compute proper control limits at the 90% confidence level.

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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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The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm.The standard deviation of the process is estimated to be 0.02 mm.What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm.What is the Cp and Cpk for this process? About what percent of all units of this liner will meet specifications?

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A process is said to be in statistical control when assignable causes are the only sources of variation.

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A Cpk index of 1.00 equates to what defect rate?

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A department chair wants to monitor the percentage of failing students in classes in her department.Each class had an enrollment of 50 students last spring.The number of failing students in the 10 classes offered that term were 1,4,2,0,0,0,0,0,0,and 3,respectively.Compute the control limits for a p-chart at the 95% confidence level.Is the process in control?

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If μ = 9 ounces,σ = 0.5 ounces,and n = 9,calculate the 3-sigma control limits for the x-bar chart.

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The statistical definition of Six Sigma allows for 3.4 defects per million.This is achieved by what Cpk index value?

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For a 3-sigma x-bar chart where the process standard deviation is known,the upper control limit:

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An operating characteristics curve shows:

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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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Producer's risk is the probability of:

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Natural variations:

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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 total daily 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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