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Range charts are used mainly with attribute data.

A) True
B) False

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


A) 3
B) 4
C) 5
D) 6
E) none of these

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

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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?


A) 3.33
B) 1.67
C) 5.00
D) 2.50
E) none of the above

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

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


A) .10
B) .11
C) .13
D) .16
E) .40

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

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

A) True
B) False

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


A) 0
B) .04
C) .11
D) .13
E) .16

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

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

A) True
B) False

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

A) True
B) False

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What are the .95 (5% 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) A) and B)
G) A) and C)

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


A) proportion
B) mean
C) number defective
D) variability
E) sample size

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

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

A) True
B) False

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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) B) and D)
G) D) and E)

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

A) True
B) False

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

A) True
B) False

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Control limits tend to be wider for more variable processes.

A) True
B) False

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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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