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Exam 15: Statistical Quality Control

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Question 31

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The sample size chosen for control charts depends on the cost of inspection versus the expected cost of Type II error.

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Question 32

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The variability of a process output is equivalent to the distribution of sample means of that process output for any sample size taken from the process.

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Question 33

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Even when the sample size is fairly small,the sampling distribution can be assumed to be approximately normal even if the underlying process distribution is not normally distributed.

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,what is his risk (alpha) of concluding service life is out of control when it is actually under control (Type I error) ?

Attributes are process characteristics that must be measured rather than counted.

Studies on a bottle-filling machine indicates it fills bottles to a mean of 16 ounces with a standard deviation of 0.10 ounces.Assuming the Cpindex = 1.0,what is/are the process specification(s) ?

Which statement is an accurate description of a process that is "capable"?

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,what is his risk of concluding this process is in control when it is actually out of control (Type II error) ?

Construct the appropriate control chart for the sample observations listed below,and determine if the process is in control using two sigma limits. 11eab92b_c48d_7a8d_99e6_d5c0e9bbbd7a

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 is the estimate of the standard deviation of the sampling distribution of the sample proportion based on the samples for these four machines?

Design of experiments involves performing experiments to determine the best control limits for a process.

A process is "capable" if the process output falls within the design specification.

Control charts based on attribute data are for process characteristics that are counted rather than measured.

Process variability is a key factor in process capability.

The optimum level of inspection minimizes the sum of inspection costs and the cost of passing defectives.

When using control charts sample size is important.Smaller samples are more likely to reveal a process change because a change is more likely to take place ______ the large sample,rather than ________ small samples.

Given the following process control data for a normally distributed quality variable (three samples of size four each): If the process is known to have a mean of 15 and a standard deviation of 3,what is the mean of the sampling distribution of sample means for whenever this process is under control? The standard deviation?

The end of a manufacturing process is always the best place for a quality inspection point.

The purpose of control charts is to:

If a point on a control chart falls outside one of the control limits,this suggests that the process output is non-random,assignable variation.