Exam 15: Statistical Quality Control

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The probability of a Type I error is the probability of concluding that assignable variation is present even though only random variation exists.

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A Quality Analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that whenever this process is under control,package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each with the following results: A Quality Analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that whenever this process is under control,package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each with the following results:   If he uses upper and lower control limits of 23 and 17 ounces,on what day(s),if any,does this process appear to be out of control? If he uses upper and lower control limits of 23 and 17 ounces,on what day(s),if any,does this process appear to be out of control?

(Multiple Choice)
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Given the following process control data for a quality attribute (three samples of size 400 each): Given the following process control data for a quality attribute (three samples of size 400 each):    If the process is known to produce 11 percent defectives on average,using three sigma control limits,do any of the sample proportions indicate an out-of-control process proportion of defectives? If the process is known to produce 11 percent defectives on average,using three sigma control limits,do any of the sample proportions indicate an out-of-control process proportion of defectives?

(Short Answer)
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When a process is not centred,its capability should be based on Cpk because it considers the upper and lower design specifications separately and not just the overall design specification width.

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When a process is judged out of control for an important character?istic,what corrective action should be taken?

(Multiple Choice)
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A design engineer wants to construct a sample mean chart for controlling the service life of one of the types of light bulbs his company produces.He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours.On three recent production batches,he tested service life on random samples of four bulbs,with these results: A design engineer wants to construct a sample mean chart for controlling the service life of one of the types of light bulbs his company produces.He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours.On three recent production batches,he tested service life on random samples of four bulbs,with these results:   What is the standard deviation of the sampling distribution of sample means? What is the standard deviation of the sampling distribution of sample means?

(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 instructors 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: The Chair of the Operations Management Department at Quality University wants to construct a p-chart for determining whether the four instructors 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:   What is the estimate of the mean proportion of failures,(p̅)for these instructors? What is the estimate of the mean proportion of failures,(p̅)for these instructors?

(Multiple Choice)
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A sample statistic that falls outside the control limits suggests that the process mean has changed.

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There is no direct link between design specifications and statistical process control limits.

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This involves performing experiments by changing levels of factors to measure their influence on output and identifying best levels for each factor.

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Sample range control charts are used to monitor process dispersion.

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When using a capability index which value determines the capability of the process?

(Multiple Choice)
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A design engineer wants to construct a sample mean chart for controlling the service life of one of the types of light bulbs his company produces.He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours.On three recent production batches,he tested service life on random samples of four bulbs,with these results: A design engineer wants to construct a sample mean chart for controlling the service life of one of the types of light bulbs his company produces.He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours.On three recent production batches,he tested service life on random samples of four bulbs,with these results:   If he uses upper and lower control limits of 520 and 480 hours,on what sample(s)(if any)does service life appear to be out of control? If he uses upper and lower control limits of 520 and 480 hours,on what sample(s)(if any)does service life appear to be out of control?

(Multiple Choice)
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The DMAIC methodology involves all EXCEPT which of the following?

(Multiple Choice)
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A p-chart is used to monitor the fraction of defectives in the output of a process.

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A p-chart is used to measure shifts in process dispersion.

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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 mm with a standard deviation of 0.01 mm.What is the Cpk for this process?

(Multiple Choice)
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A Quality Analyst wants to construct a control chart for determining whether four machines,all producing the same product,are under control with regard to a particular quality attribute.Accordingly,she inspected 1,000 units of output from each machine in random samples,with the following results: A Quality Analyst wants to construct a control chart for determining whether four machines,all producing the same product,are under control with regard to a particular quality attribute.Accordingly,she inspected 1,000 units of output from each machine in random samples,with the following results:   What are the control chart upper and lower control limits for an alpha risk of .05? What are the control chart upper and lower control limits for an alpha risk of .05?

(Multiple Choice)
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Nonrandom variation is indicated when a point is observed that is outside the control limits,or a run test produces a large z-value.What is this a sign of?

(Multiple Choice)
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Concluding that a process has changed when it has not is known as a Type II error.

(True/False)
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