Exam 26: Statistical Process Control

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The specifications for a manifold gasket that installs between two engine parts calls for a thickness of 2.500 mm ± .020 mm. The standard deviation of the process is estimated to be 0.004 mm. What are the upper and lower specification limits for this product? The process is currently operating at a mean thickness of 2.50 mm. (a) What is the Cp for this process? (b) The purchaser of these parts requires a capability index of 1.50. Is this process capable? Is this process good enough for the supplier? (c) If the process mean were to drift from its setting of 2.500 mm to a new mean of 2.497, would the process still be good enough for the supplier's needs?

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Which of the following statements about acceptance sampling is true?

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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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________ is variation in a production process that can be traced to specific causes.

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The width of a bronze bar is intended to be one-eighth of an inch (0.125 inches). Inspection samples contain five bars each. The average range of these samples is 0.01 inches. What are the upper and lower control limits for the x-bar and R-chart for this process, using 3-sigma limits?

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The width of a bronze bar is intended to be 0.3 cms. Inspection samples contain five bars each. The average range of these samples is 0.01 cms. What are the upper and lower control limits for the x-bar and R-chart for this process, using 3-sigma limits?

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A(n) ________ is a graph that describes how well an acceptance plan discriminates between good and bad lots.

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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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A consultant has been brought in to a manufacturing plant to help apply six sigma principles. Her first task is to work on the production of rubber balls. The upper and lower spec limits are 21 and 19 cm respectively. The consultant takes ten samples of size five and computes the sample standard deviation to be .7 cm and the sample mean to be 19.89 cm. Compute Cp and Cpk for the process. Give the consultant advice on what to do with the process based on your findings.

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Consumer's risk is the probability of

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The purpose of process control is to detect when natural causes of variation are present.

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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 a(n)

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An acceptance sampling plan must define "good lots" and "bad lots" and specify the risk level associated with each one.

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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 run test is used

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The higher the process capability ratio, the greater the likelihood that process will be within design specifications.

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

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If the Cpk index exceeds 1

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Repeated sampling of a certain process shows the average of all sample ranges to be 0.85 cm. The sample size has been constant at n = 10. What are the 3-sigma control limits for this R-chart?

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Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using this data. Is the process in control? Sample Mean Range 1 20.01 0.45 2 19.98 0.67 3 20.25 0.30 4 19.90 0.30 5 20.35 0.36 6 19.23 0.49 7 20.01 0.53 8 19.98 0.40 9 20.56 0.95 10 19.97 0.79

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