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A point which is outside of the lower control limit on an R-chart


A) is an indication that no cause of variation is present.
B) should be ignored because it signifies better-than-average quality.
C) should be investigated because an assignable cause of variation might be present.
D) should be ignored unless another point is outside that limit.
E) is impossible since the lower limit is always zero.

F) A) and E)
G) A) and D)

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A shift in the process mean for a measured characteristic would most likely be detected by a


A) p-chart.
B) x-bar chart.
C) c-chart.
D) R-chart.
E) s-chart.

F) A) and B)
G) B) and D)

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

A) True
B) False

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The basis for a statistical process control chart is a(the)


A) process capability.
B) sampling distribution.
C) control limit.
D) sample range.
E) sample mean.

F) C) and E)
G) None of the above

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The following data occurs chronologically from left to right The following data occurs chronologically from left to right   The number of runs up and down is: A) 2. B) 3. C) 4. D) 5. E) none of these. The number of runs up and down is:


A) 2.
B) 3.
C) 4.
D) 5.
E) none of these.

F) A) and B)
G) C) and D)

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Process capability compares process variability to the tolerances.

A) True
B) False

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A p-chart would be used to monitor


A) average shrinkage.
B) dispersion in sample data.
C) the fraction defective.
D) the number of defects per unit.
E) the range of values.

F) A) and E)
G) B) and E)

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The specifications for a product are 6 mm ± 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?


A) 3.33
B) 1.67
C) 5.00
D) 2.50
E) 1.33

F) A) and D)
G) A) and E)

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A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, with these results A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, 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? A) sample 1 B) sample 2 C) sample 3 D) both samples 2 and 3 E) all samples are in 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?


A) sample 1
B) sample 2
C) sample 3
D) both samples 2 and 3
E) all samples are in control

F) B) and C)
G) D) and E)

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The sampling distribution can be assumed to be approximately normal even when the underlying process distribution is not normally distributed.

A) True
B) False

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The primary purpose of statistical process control is to detect a defective product before it is shipped to a customer.

A) True
B) False

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The approaches to quality assurance are


A) process inspection, control analysis, and continuous improvement.
B) identification, analysis, and quality assurance
C) analysis, quality assurance, and modifications.
D) inspection alone, process control, and continuous improvement.
E) quality identification, process correction, and improvement inspection

F) A) and E)
G) A) and B)

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The variation of a sampling distribution isless than the variation of the underlying process distribution.

A) True
B) False

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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 in 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 faculty teaching the basic P/OM course are in 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 are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart? A) .95 and .05 B) .13 and .07 C) .1588 and .0412 D) .16 and .04 E) .1774 and .0226 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart?


A) .95 and .05
B) .13 and .07
C) .1588 and .0412
D) .16 and .04
E) .1774 and .0226

F) B) and E)
G) A) and D)

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Which of the following is not a step in the control process?


A) Define what is to be controlled.
B) Compare measurements to a standard.
C) 100 percent inspection.
D) Take corrective action if necessary.
E) Evaluate corrective action.

F) C) and D)
G) A) and D)

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Organizations should work to improve process capability so thatinspection efforts can become more


A) effective.
B) efficient.
C) necessary.
D) unnecessary.
E) widespread.

F) A) and B)
G) A) and C)

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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.


A) I and II
B) I and III
C) II and III
D) II only
E) I, II, and III

F) A) and B)
G) All of the above

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A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, with these results A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, with these results   What is the sample mean service life for sample 2? A) 460 hours B) 495 hours C) 500 hours D) 515 hours E) 525 hours What is the sample mean service life for sample 2?


A) 460 hours
B) 495 hours
C) 500 hours
D) 515 hours
E) 525 hours

F) C) and E)
G) None of the above

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The probability of concluding that assignable variation exists when only random variation is present is (I) the probability of a Type I error.(II) known as the alpha risk.(III) highly unlikely.(IV) the sum of probabilities in the two tails of the normal distribution.


A) I and II
B) I and IV
C) II and III
D) I, II, and IV
E) I, III, and IV

F) All of the above
G) B) and C)

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Larger samples will require wider x-bar control limits because there is more data.

A) True
B) False

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