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Exam 10: Quality Control

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Question 61

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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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Question 62

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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) A) and C)
G) A) and E)

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Question 63

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

What are the .95 (5% risk of Type I error) upper and lower control limits for the p-chart?

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

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?

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

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

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

Control limits tend to be wider for more variable processes.

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

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?

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

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

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

Range charts are used mainly with attribute data.

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

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?

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.

Four samples of three observations each have been taken, with actual measurements (in centimeters) shown below.Construct three-sigma mean and range charts.