Exam 10: Quality Control

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If a point on a control chart falls outside one of the control limits, this suggests that the process output is nonrandom and should be investigated.

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Approximately 99.7 percent of sample means will fall within plus or minus two standard deviations of the process mean if the process is under control.

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The amount of inspection we choose can range from no inspection at all to inspecting each item numerous times.

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Statistical process control is the measurement of rejects in the final product.

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A stent for use in coronary surgery requires a special coating. Specifications for this coating call for it to be at least 0.05 millimeters but no more than 0.15 millimeters. Suppose the long-run average of this coating process is 0.09 millimeters. Further suppose this process's standard deviation is 0.015 millimeters. What proportion of the output from this process will fail to meet specifications?

(Short Answer)
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Perform run tests on the given data. What can you conclude? Sample Defectives 1 18 2 24 3 19 4 22 5 20 6 19 7 22 8 23 9 25 10 17 11 20 12 23 13 21 14 16

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A lower control limit must by definition be a value less than an upper control limit.

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An analyst counted 17 A/B runs and 15 U/D runs in 26 time series observations. Do these results suggest that the data are non-random?

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A process results in a few defects occurring in each unit of output. Long-run, these defects should be monitored with:

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Which of the following quality control sample statistics indicates a quality characteristic that is an attribute?

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A stent for use in coronary surgery requires a special coating. Specifications for this coating call for it to be at least 0.05 millimeters but no more than 0.15 millimeters. Assuming that the process mean of 0.09 cannot be changed, what process standard deviation would be required for this process to be considered capable (assuming that a capable process must have a capability index of at least 1.3)?

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Quality control, in contrast to quality assurance, is implemented:

(Multiple Choice)
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Given the following process control data for a quality attribute (three samples of size 400 each): Sample Defectives \#1 36 \#2 32 \#3 52 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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Concluding that a process is out of control when it is not is known as a Type I error.

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Control limits tend to be wider for more variable processes.

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The variation of a sampling distribution is tighter than the variation of the underlying process distribution.

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

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The process capability index (indicated by Cpk) can be used only when the process is centered.

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A time-ordered plot of representative sample statistics is called a(n):

(Multiple Choice)
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The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are under control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results: Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What is the sample proportion of failures (p) for Prof. D?

(Multiple Choice)
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