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The mean and standard deviations for a process are μ= 90 and σ = 9. For the variable control chart, a sample size of 16 will be used. Calculate the standard deviation of the sampling distribution.

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Sigma x-ba...

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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 when the process is operating as intended, packaging weight is normally distributed with a mean of twenty ounces, and a process standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each. The data from that activity appears below. A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that when the process is operating as intended, packaging weight is normally distributed with a mean of twenty ounces, and a process standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each. The data from that activity appears below.    (a) If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces, what is the probability of concluding that this process is out of control when it is actually in control? (b) With the UCL and LCL of part a, what do you conclude about this process-is it in control? (a) If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces, what is the probability of concluding that this process is out of control when it is actually in control? (b) With the UCL and LCL of part a, what do you conclude about this process-is it in control?

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(a) These control limits are one standar...

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Why are x-bar and R-charts usually used hand in hand?

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The ultimate goal of the x-bar and R-charts i...

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At your first job out of college you have been assigned to the production of bottled 20 oz. soda. The process has upper and lower limits of 20.5 and 19.5 oz, respectively, with a mean of 19.8 oz and standard deviation of .3 oz. Your manager has requested the process produce no more than 3.4 defects per 1 million bottles produced. Calculate Cpk and then determine if the process is capable or if you should be looking for assignable variation.

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Cpk = minimum ( (20.5-19.8)/(3*.3),(19.8-1...

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In acceptance sampling, a manager can reach the wrong conclusion if the sample is not representative of the population it was drawn from.

A) True
B) False

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If a process has only natural variations, __________ percent of the time the sample averages will fall inside the (or ) control limits.

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The purpose of an x-bar chart is to determine whether there has been a


A) change in the dispersion of the process output
B) change in the percent defective in a sample
C) change in the central tendency of the process output
D) change in the number of defects in a sample
E) change in the AOQ

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

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The __________ are calculated to show how much allowance should be made for natural variation.

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UCL and LC...

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The usual purpose of an R-chart is to signal whether there has been a


A) gain or loss in dispersion
B) change in the percent defective in a sample
C) change in the central tendency of the process output
D) change in the number of defects in a sample
E) none of the above

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

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What is the difference between the process capability ratio Cp and the process capability index Cpk?

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The Cp ratio does not consider ...

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Acceptance sampling is usually used to control


A) the number of units output from one stage of a process which are then sent to the next stage
B) the number of units delivered to the customer
C) the quality of work-in-process inventory
D) incoming lots of purchased products
E) all of the above

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

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The specifications for a manifold gasket that installs between two engine parts calls for a thickness of 2.500 mm ± .020 mm. The standard deviation of the process is estimated to be 0.004 mm. What are the upper and lower specification limits for this product? The process is currently operating at a mean thickness of 2.50 mm. (a) What is the Cp for this process? (b) About what percent of all units of this liner will meet specifications? Does this meet the technical definition of Six Sigma?

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(a) LSL = 2.48 mm, USL = 2.52 mm. Cp = (2...

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In statistical process control, the range often substitutes for the standard deviation.

A) True
B) False

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Assignable variation


A) is a sign that a process is under control
B) is to be identified and investigated
C) is the same as random variation
D) is variation that cannot be traced to a specific cause
E) leads to a steep OC curve

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

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The term __________ is used to describe how well a process makes units within design specifications (or tolerances).

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A nationwide parcel delivery service keeps track of the number of late deliveries (more than 30 minutes past the time promised to clients) per day. They plan on using a control chart to plot their results. Which type of control chart(s) would you recommend?


A) A nationwide parcel delivery service keeps track of the number of late deliveries (more than 30 minutes past the time promised to clients)  per day. They plan on using a control chart to plot their results. Which type of control chart(s)  would you recommend? A)    - and R-charts B)  p-charts C)  c-charts D)    -, but not R-charts E)  both p- and c-charts - and R-charts
B) p-charts
C) c-charts
D) A nationwide parcel delivery service keeps track of the number of late deliveries (more than 30 minutes past the time promised to clients)  per day. They plan on using a control chart to plot their results. Which type of control chart(s)  would you recommend? A)    - and R-charts B)  p-charts C)  c-charts D)    -, but not R-charts E)  both p- and c-charts -, but not R-charts
E) both p- and c-charts

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

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A woodworker is concerned about the quality of the finished appearance of her work. In sampling units of a split-willow hand-woven basket, she has found the following number of finish defects in ten units sampled: 4, 0, 3, 1, 2, 0, 1, 2, 0, 2. a. Calculate the average number of defects per basket b. If 3-sigma control limits are used, calculate the lower control limit, centerline, and upper control limit.

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(a) 1.5; (...

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According to the text, the most common choice of limits for control charts is usually


A) ± 1 standard deviation
B) ± 2 standard deviations
C) ± 3 standard deviations
D) ± 3 standard deviations for means and ± 2 standard deviations for ranges
E) none of the above

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

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Acceptance sampling


A) is the application of statistical techniques to the control of processes
B) was developed by Walter Shewhart of Bell Laboratories
C) is used to determine whether to accept or reject a lot of material based on the evaluation of a sample
D) separates the natural and assignable causes of variation
E) all of the above

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

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Control charts for variables are based on data that come from


A) acceptance sampling
B) individual items
C) averages of small samples
D) averages of large samples
E) the entire lot

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

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