Exam 10: Quality Control

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Four samples of three observations each have been taken, with actual measurements (in centimeters) shown below.Construct three-sigma mean and range charts.

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Suppose the long-run average of this coating process is 0.09 millimeters.Further suppose this process' standard deviation is 0.015 millimeters.What proportion of the output from this process will fail to meet specifications?

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A c-chart is used to monitor the number of defects per unit for process output.

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What are the .95 (5% risk of Type I error) upper and lower control limits for the p-chart?

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The range chart (R-chart) is most likely to detect a change in:

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If the process is known to produce 11 percent defectives on average, what is the alpha risk (probability of Type I error) for upper and lower control limits of .1256 and .0944 respectively? .1412 and .0788? .1568 and .0632?

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The number of runs up and down for the data above is:

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The process capability index (Cpk) may mislead if: (I) the process is not stable. (II) the process output is not normally distributed. (III) the process is not centered.

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What is the estimate of the mean proportion of failures for these instructors?

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A process that exhibits random variability would be judged to be out of control.

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If the process is known to have a mean of 15 and a standard deviation of 3, what is the alpha risk (probability of Type I error) for upper and lower control limits of 16.5 and 13.5 respectively? 18 and 12? 19.5 and 10.5?

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The specifications for a product are 6 mm ±\pm 0.1 mm.The process is known to operate at a mean of 6.05 with a standard deviation of 0.01 mm.What is the Cpk for this process?

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The purpose of statistical process control is to ensure that historical output is random.

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Attributes need to be measured, variable data can be counted.

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An R value of zero (on a range chart) means that the process must be in control since all sample values are equal.

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What is the sample proportion of failures (p) for Prof.D?

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Control limits tend to be wider for more variable processes.

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Quality control is assuring that processes are performing in an acceptable manner.

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Range charts are used mainly with attribute data.

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Type I and Type II errors refer to the magnitude of variation from the standard.

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