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Studies on a machine that molds plastic water pipe indicate that when it is injecting 1-inch-diameter pipe, the process standard deviation is 0.05 inches. The 1-inch pipe has a specification of 1 inch plus or minus 0.10 inch. What is the process capability index ( Cpk) if the long-run process mean is 1 inch?


A) 0.50
B) 0.67
C) 1.00
D) 2.00
E) 2.20

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Attribute data are counted, variable data are measured.

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Range control charts are used to monitor process central tendency.

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A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in 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 in 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 is the sample proportion of defectives for machine #1? A) .023 B) .02 C) .0115 D) .0058 E) .005 What is the sample proportion of defectives for machine #1?


A) .023
B) .02
C) .0115
D) .0058
E) .005

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A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results   What are the x-bar chart three-sigma upper and lower control limits? A) 22 and 18 B) 23.29 and 16.71 C) 23.5 and 16.5 D) 23.16 and 16.84 E) 24 and 16 What are the x-bar chart three-sigma upper and lower control limits?


A) 22 and 18
B) 23.29 and 16.71
C) 23.5 and 16.5
D) 23.16 and 16.84
E) 24 and 16

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A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in 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 in 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 is the estimate of the standard deviation of the sampling distribution of sample proportions for this process? A) .016 B) .00016 C) .04 D) .0044 E) .00002 What is the estimate of the standard deviation of the sampling distribution of sample proportions for this process?


A) .016
B) .00016
C) .04
D) .0044
E) .00002

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Patterns of data on a control chart suggest that the process may have nonrandom variation.

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Control limits tend to be wider for more variable processes.

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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 in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each 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 in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each   What is the standard deviation of the sampling distribution of sample means for whenever this process is in control? A) 0.1 ounces B) 0.4 ounces C) 0.5 ounces D) 1 ounce E) 2 ounces What is the standard deviation of the sampling distribution of sample means for whenever this process is in control?


A) 0.1 ounces
B) 0.4 ounces
C) 0.5 ounces
D) 1 ounce
E) 2 ounces

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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 when this service life is in control it 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 when this service life is in control it 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 mean of the sampling distribution of sample means when the service life is in control? A) 250 hours B) 470 hours C) 495 hours D) 500 hours E) 515 hours What is the mean of the sampling distribution of sample means when the service life is in control?


A) 250 hours
B) 470 hours
C) 495 hours
D) 500 hours
E) 515 hours

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This step in the control process includes characteristics that can be counted.


A) define
B) compare
C) measure
D) evaluate
E) correct

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A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results   For upper and lower control limits of 23.29 and 16.71, which machine(s) , if any, appear(s) to have an out-of-control process mean? A) machine #1 B) machine #2 C) machine #3 D) all of the machines E) none of the machines For upper and lower control limits of 23.29 and 16.71, which machine(s) , if any, appear(s) to have an out-of-control process mean?


A) machine #1
B) machine #2
C) machine #3
D) all of the machines
E) none of the machines

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A plot below the lower control limit on the range chart (I) should be ignored since lower variation is desirable.(II) may be an indication that process variation has decreased.(III) should be investigated for assignable cause.


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

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A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in 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 in 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? A) .0272 and .0128 B) .0287 and .0113 C) .029 and .013 D) .0303 and .0097 E) .0332 and .0068 What are the control chart upper and lower control limits for an alpha risk of .05?


A) .0272 and .0128
B) .0287 and .0113
C) .029 and .013
D) .0303 and .0097
E) .0332 and .0068

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Statistical process control focuses on the acceptability of process output.

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A c-chart is used for


A) means.
B) ranges.
C) percent defective.
D) fraction defective per unit.
E) number of defects per unit.

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This step in the control process includes a definition of out of control.


A) define
B) compare
C) measure
D) evaluate
E) correct

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Which of the following relationships must always be incorrect?


A) Tolerances > process variability > control limits
B) Process variability > tolerances > control limits
C) Tolerances > control limits > process variability
D) Process variability > control limits > tolerances
E) Process variability < tolerances < control limits

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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   Using .95 control limits (5 percent risk of Type I error) , which instructor(s) , if any, should he conclude is (are) out of control? A) none B) Prof. B C) Prof. D D) both Prof. B and Prof. D E) all Using .95 control limits (5 percent risk of Type I error) , which instructor(s) , if any, should he conclude is (are) out of control?


A) none
B) Prof. B
C) Prof. D
D) both Prof. B and Prof. D
E) all

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A run test checks a sequence of observations for randomness.

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