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27 questions
A Cp value of 1.33 indicates a standard of how many standard deviations (sigmas)?
6
1.33
2
3
4
Which of the following is true regarding the process capability index Cpk?
A Cpk index value of 1 is the highest possible.
The larger the Cpk, the more units meet specifications.
The Cpk index can only be used when the process centerline is also the specification centerline.
Positive values of the Cpk index are good; negative values are bad.
Its value will always be at least as large as the Cp value for the same process.
If the Cpk index exceeds 1:
σ must be less than one-third of the absolute value of the difference between each specification limit and the process mean.
the x-bar chart must indicate that the process is in control.
the process is capable of Six Sigma quality.
the process is characterized as "not capable."
A Cpk index of 1.00 equates to what defect rate?
five percent
3.4 defects per million items
2.7 defects per 1,000 items
97.23 percent
one percent
A metal-cutting operation has a target value of 20 and consistently averages 19.8 with a standard deviation of 0.5. The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. What is the process capability index?
1.20
1.33
1.46
1.66
The upper and lower specifications for a service are 10 min. and 8 min., respectively. The process average is 9 min. and the process capability ratio is 1.33. What is the process standard deviation?
0.1
0.15
0.20
0.25
ABC Company, produces meter sticks that have a target length of 100 centimeters with upper and lower specification limits of 100.05 and 99.95 centimeters respectively. Their existing process produces meter sticks with an average length of 100.00 centimeters and a standard deviation of 0.015 centimeters. What is their current process capability index?
0.44
0.83
1.11
1.26
A process is deemed “out of control” when
common causes are present.
special causes are present
data varies around the mean
systematic variation is present.
A delivery company defines a “defect” as a package delivered later than the promised delivery time. Management wants to monitor the proportion of packages delivered per week beyond the promised delivery time. Management is willing to sample 150 packages per week and determine which of these packages are “defects.”
c-chart
R-chart
p-chart
np-chart
A company wishes to monitor the variation in the length of time it takes to process and send a bill to a customer. Five bills will be randomly selected each day and the length of time it takes to process and send the bill to a customer will be recorded for each bill.
c-chart
R-chart
p-chart
u-chart
A precision parts manufacturer produces bolts for use in military aircraft. Ideally the bolts should be 37.50 centimeters (cm) in length. The specifications for length are 37.50 ± 0.25 cm. The company has established an -chart and an R-chart using samples of size five. The centerline for the -chart is equal to 37.65 cm and the centerline for the R-chart is equal to 1.03 cm.
What is the value of Cp for this process?
0.188
1.333
0.301
0.166
A precision parts manufacturer produces bolts for use in military aircraft. Ideally the bolts should be 37.50 centimeters (cm) in length. The specifications for length are 37.50 ± 0.25 cm. The company has established an -chart and an R-chart using samples of size five. The centerline for the -chart is equal to 37.65 cm and the centerline for the R-chart is equal to 1.03 cm.
What is the value of Cpk for this process?
0.08
0.28
0.75
0.03
Twenty-five samples, of size 30 were collected and a total of 48 nonconforming items were found. The three sigma upper control limit for a p-chart would be
0.198
0.091
0.211
0.833
Twenty samples of size 6 were collected for a variable measurement. Determine the upper control limit (UCL) and lower control limit (LCL) for an R-chart if the sum of the sample ranges equals 88.0.
UCL = 9.3016, LCL = 0.3344
UCL = 1.4696, LCL = 0.0000
UCL = 29.3921, LCL = 0.0000
UCL = 8.8176, LCL = 0.0000
An -chart is used to monitor the process _____.
range.
median.
variance
mean
The control chart most appropriate for data that represent the total number of deliveries that were delivered late each day is the
x-chart and R-chart
c-chart
p-chart
x-chart
The control chart most appropriate for plotting the daily percentage of students that wait longer than 5 minutes in line at the undergraduate admissions office is
c-chart.
p-chart.
X-chart
x bar -chart.
A 50-volt battery must be between 55 and 45 volts when it leaves the factory. Two hundred samples of batteries have yielded the following data: average charge of 49 volts with a standard deviation of 2.5 volts. What is the process capability?
0.06
0.80
0.53
0.12
0.38
The ________ chart is used in monitoring process dispersion.
c chart
p chart
R chart
X chart
An irregularity or problem with a larger unit is a(n) ________.
defect
defective
flaw
mistake
error
30) Which of the following is not used for monitoring defects or defectives?
p charts
np charts
c charts
r charts
Defectives are monitored using ________.
p charts
c charts
g charts
u charts
The producers of the Yugo automobile periodically inspect samples of 80 hoods for dents and scratches. A single flaw in a hood renders it unsuitable for installation in one of their fine automobiles. The results of the last 10 samples are shown.What are the lower and upper control limits for the np chart?
(-8.35, 2.8)
(2.8, 8.35)
(0.3, 17.1)
(8.7, 17.1)
(0.4, 8.7)
A parks and recreation worker counts the number of paint drips on each standard size park bench. The results from the last 10 benches are shown.
If the Parks Department decides to make a c chart, what should the lower and upper 3-sigma control limits be?
(-9.2, 9.2)
(0.0, 20)
(0.1, 18.3)
(3.1, 13.1)
Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store. The number of returns were 10, 9, 11, 7, 3, 12, 8, 4, 6, and 11. Find the standard deviation of the sampling distribution for the p-bar chart.
There is not enough information to answer the question.
.081
8.1
.0273
.0863
Jars of pickles are sampled and weighed. Sample measures are plotted on control charts. The ideal weight should be precisely 11 oz. Which type of chart(s) would you recommend?
p-chart
c-chart
both an x-bar chart and an R-chart
an x-bar chart, but not an R-chart
both a p-chart and a c-chart
If = 23 kg, σ = 0.4 ounces, and n = 16, what will be the ±3σ control limits for the x-bar chart?
21.8 to 24.2 kg
23 kg
22.70 to 23.30 kg
22.25 to 23.75 kg
22.90 to 23.10 kg
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