Deck 16: Quality Control and Spc

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Question
"Quality at the source" focuses on supplier quality at the beginning of a value chain.
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Question
In-process quality control is typically performed by the employees who run the processes.
Question
Collecting continuous data is usually easier than collecting discrete data.
Question
As long as no points are outside of the control limits in a control chart, the process would be considered to be in control
Question
If the mean in the range chart shifts down significantly, it indicates that the variation in the process has decreased.
Question
Over-adjusting a process that is in control will usually increase the variation in the output.
Question
With good management, all variability of output from any goods- or service-producing process can be eliminated.
Question
A process is considered to be in control when all common and special causes have been eliminated.
Question
A key element of a control system is the ability to measure performance and compare it to a performance standard.
Question
It generally costs more to correct an error or defect at the design stage than after it has reached the customer.
Question
Special cause variation tends to be easily detectable using statistical methods.
Question
In manufacturing, quality control is generally applied at the receiving stage from suppliers, during various production processes, and at the finished goods stage.
Question
The goal of statistical process control SPC) is to help identify and eliminate unwanted causes of variation.
Question
Quality control focuses on the design of a good or service to ensure meeting customer expectations.
Question
In developing process control charts, if special causes are present, they are not representative of true state of statistical control, and the calculations of the center line and control limits will be biased.
Question
A system governed only by common causes is called a stable system.
Question
Common cause variation generally accounts for about 10 to 15% of all variation within a process.
Question
Poor quality that might result from a broken tool or an employee who is ill would be an example of special cause variation.
Question
An xˉ\bar { x } -chart is always analyzed first because the control limits in the R-chart depend on the mean xˉ\bar{ x } ) of the data.
Question
Quality control of front-office operations in services can effectively use many of the same techniques that are applied in manufacturing.
Question
If process quality approaches six sigma levels, then standard types of control charts are not useful.
Question
Process capability quantifies the variation that results from common causes.
Question
Evaluating the trade-offs between the costs of detecting and replacing a defective part or allowing it to continue on through the production process is related to

A)Supplier certification and management
B)In-process control
C)Finished goods control
D)Statistical process control
Question
Both the p-chart and the c-chart use variable data.
Question
A c-chart is used to monitor the fraction nonconforming, whereas a p-chart monitors the number of nonconformances per unit.
Question
The lower the rate of defects, the higher the sample size should be in p-charts.
Question
Which of the following is not a component of a control system?

A)Statistical sampling
B)Measures of actual performance
C)Goals or standards
D)Comparison of actual performance with standards or goals for corrective action if necessary
Question
Regarding special cause variability, all are true except

A)Disrupt the random patterns of common cause variation
B)Arises from external sources that are not inherent in the process
C)Appear sporadically
D)Hard to detect using statistical methods
Question
When the range of process variation is larger than the design specifications, the process capability index will be less than 1.
Question
The value of Cpk is the average of the lower and upper capability indexes; that is, (Cpk = Cpl + Cpu)/2.
Question
Which of the following is most closely related to Statistical Process Control (SPC)?

A)Removing common causes of variation
B)Removing special causes of variation
C)Removing all causes of variation
D)Computing process capability
Question
Common cause variation is

A)Controllable at the sources
B)Called assignable cause
C)Can be reduced by statistical process control methods
D)The responsibility of management
Question
It is not necessary to have a process in control when establishing control limits.
Question
Testing whether a computer boots up the first time is an example of

A)Supplier certification and management
B)In-process control
C)Finished goods control
D)Statistical process control
Question
Quality at the source means that quality is controlled by

A)People responsible for the work
B)Quality control managers
C)Front line supervisors
D)Top management
Question
To account for the process centering, a two-sided capability index is often used.
Question
In the 1:10:100 Rule, which of the following would be correct?

A)If a defect or service error is identified and corrected at the design stage, it might cost $100 to fix.
B)If a defect or service error is identified and corrected at the production process stage, it might cost $100 to fix.
C)If a defect or service error is identified and corrected after it reaches the customer, it might cost $100 to fix.
D)If a defect or service error is identified and corrected at the design stage, it might cost $1x$10x$100 = $1,000 to fix.
Question
Common cause variation

A)Cannot be explained except in an aggregate sense
B)Is easily detectable with statistical methods and control charts
C)Cannot be reduced through better technology, process design, or training
D)Is the responsibility of the workers who run the processes
Question
If no special causes affect the output of a process, we say that the process is ____; when special causes are present, the process is said to be ____.

A)Qualified; not qualified
B)In control; out of control
C)Capable; not capable
D)Certified; not certified
Question
Larger sample sizes allow smaller changes in process characteristics to be detected with higher probability.
Question
Which is not related to a discrete metric?

A)Counting
B)Visual inspection
C)Good or bad
D)Time
Question
A supplier is producing a machined part for the transmission of your vehicle. The upper specification limit is 0.125 cm and the lower specification limit is 0.085. The process standard deviation for the process that makes this part is 0.008 and the process average is 0.105. What conclusion can be drawn from these process capability data?

A)The process is centered and capable.
B)The process is not centered and capable.
C)The process is centered and not capable.
D)The process is not centered and not capable.
Question
Which of the following suggests a process that is not in control?

A)Points follow a smooth pattern from the lower control limit to the upper control limit
B)The number of points above and below the center line is about the same
C)Points fall randomly above and below the center line
D)No points are outside the control limits
Question
To monitor the fraction of printed circuit boards that do not pass a functional test, (an) ____ is used.

A)-chart
B)p-chart
C)c-chart
D)R-chart
Question
Ritz-Carlton Hotel Company uses which one of the following methods to control quality?

A)R-bar and x-bar control charts to monitor customer complaints.
B)The 1:10:100 rule for goods quality only
C)Self-control of the individual employee based on their spontaneous behavior.
D)The process capability index for all goods and services provided by the hotel.
Question
Which of the following is not related to a continuous metric?

A)Measured as the degree of conformance to a specification
B)x-bar and R charts
C)p-chart
D)Time
Question
Define "quality at the source."
Question
Statistical calculations will show that if p = .01, then the sample size needed to have at least a 95% chance of finding at least one nonconformance is

A)30
B)100
C)300
D)1,000
Question
Define and give an example of the three components of any control system.
Question
If one was monitoring the average time to load a web page, the chart to use would be the

A)-chart
B)R-chart
C)p-chart
D)c-chart
Question
Historically, the average proportion of defective bars has been 0.015. Samples of 100 bars each are taken. Construct a p-chart using z = 3. Suppose a sample had 0.044 defectives. What would you do?

A)Nothing; it appears to be random variation.
B)Look for assignable causes.
C)Delete the sample with 0.044 defects and take another sample that is better.
D)None of these choices
Question
A bottling process sometimes results in overfills or underfills. Overfills are especially damaging to the equipment. Which process capability index would this company most want to monitor?

A)Cp
B)Cpl
C)Cpu
D)Cpk
Question
Which one of the following statements is true?

A)Common cause variation arises from external sources that are not inherent in the process and is where statistical quality control methods are most useful.
B)If the metric is discrete, a p- or c-chart is normally used.
C)Statistical process control is not used in hospitals due to the high liability costs.
D)Statistical process control charts are used when trying to monitor and control 5- and 6-sigma quality levels.
Question
Honda wants to monitor the number of blemishes scratches, blisters, etc.) on the fenders of its cars using a statistical process control chart. The most appropriate type of SPC chart is

A)x-bar.
B)R-bar chart.
C)Cpk chart
D)c-chart
Question
Indications in a control chart of an out-of-control situation include all of the following except

A)Six or seven consecutive points that increase or decrease in value
B)About the same number of points above and below the center line
C)There are points outside control limits
D)There are no more points near the center line than there are close to the control limits
Question
p-charts

A)Are used for the fraction of non-conforming items
B)Count the number of nonconformances per unit
C)Use continuous metrics
D)Can have negative lower limits
Question
The upper and lower specification limits for a component are 4.20, and 4.30 ounces, respectively. The process standard deviation is .02, and the process average is 4.24 ounces. Which one of the following statements is true.

A)The Cp index indicates the process is centered.
B)The Cp index indicates the process is not centered.
C)The Cpk index indicates the process is centered.
D)The Cpk index indicates the process is not centered.
Question
Explain and give the significance of the 1:10:100 Rule.
Question
The center line p-bar) for a p-chart is 0.50 with an UCL = 0.70 and a LCL = 0.35. The results of the next eight sample means are 0.45, 0.60, 0.39, 0.44, 0.48, 0.53, 0.54, and 0.61. What would you do?

A)Nothing; the process is in control.
B)increase the sample size to get a better measure.
C)investigate assignable causes because four observations are above the center line.
D)investigate assignable causes because there is a bad trend run).
Question
c-charts

A)Are used for the fraction of non-conforming items
B)Count the number of nonconformances per unit
C)Use continuous metrics
D)Can have negative lower limits
Question
Discuss the three basic quality control practices used in manufacturing.
Question
Describe the steps required to develop and use control charts.
Question
What is the purpose of a process-capability study and what is a process capability index?
Question
An airline found that on average, 0.62% of the luggage they received from passengers at LAX( Los Angeles Airport) is lost or damaged. On a typical day, 1000 pieces of luggage pass through this airport. The upper control limits for a p chart for monitoring the daily fraction nonconforming?
Question
The time to check out guests at a hotel was measured over the course of several weeks. Management believes that the target time for checking out guests should be between 2 and 4 minutes with a target of 3 minutes. The data gathered had a mean time of 2.75 minutes with a standard deviation of 0.4 minutes. Find and interpret Cp, Cpl, Cpu, and Cpk in the context of this situation.
Question
A bottling machine fills soft drink bottles with an average of 12.000 ounces with a standard deviation of 0.002 ounces. Determine the process capability index, Cp, if the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces.
Question
Over several days, 25 samples of 100 items each were tested for electrical resistance. A total of 60 items failed. Determine pˉ\bar { p } and the control limits for a p chart.
Question
Explain the issues associated with selecting the appropriate sample size and sampling frequency for control charts.
Question
Discuss the difference between a continuous metric and a discrete metric, give examples of each, and list the common control charts associated with each.
Question
Find the control limits for a c chart with Cˉ\bar { C } = 7.
Question
A Procter and Gamble factory process fills boxes with detergent. Construct an appropriate set of control charts to monitor the process. Historical data for fill weight in ounces) of eight samples is presented below. A sample size of six was used.
 Sample  Sample Mean  Sample Range 115.800.42216.100.38316.020.08415.950.15516.120.42616.180.23715.870.36816.200.40\begin{array} { c c c } \text { Sample } & \text { Sample Mean } & \text { Sample Range } \\\hline1 & 15.80 & 0.42 \\ 2 & 16.10 & 0.38 \\ 3 & 16.02 & 0.08 \\ 4 & 15.95 & 0.15 \\ 5 & 16.12 & 0.42 \\6 & 16.18 & 0.23 \\ 7 & 15.87 & 0.36 \\ 8 & 16.20 & 0.40 \\\end{array}
a.Compute the limits for both an R chart and x-bar chart. Compare the sample results to the limits of the charts.
b.Briefly explain what the quality control charts tell you. What actions, if any, would you take?
Question
A manufacturing company has a production process that has a target percent nonconforming of 4% which was developed based on numerous samples of 200 observations each. They want to develop control charts using 3 standard deviation limits.
a. What is the center line for the p chart?
b. What is the upper control limit for a p chart?
c. What is the lower control limit for a p chart?
Question
In general, discuss how to interpret control charts.
Question
A manufacturer inspected 40 circuit boards and found a total of 640 defects. If the company wants to use SPC to control the manufacturing process by monitoring the number of defects per circuit board, what type of chart should they use and what should the control limits be?
Question
A company is measuring the time it takes to complete an order. Twenty five samples of size 6 resulted in an average time of 80 minutes with an average range of 20 minutes. Find control limits for the appropriate control charts) that would be used to monitor this process.
Question
Flaws are counted on a standard steel plate sheet). Each sheet has the exact same dimensions. Ten sheets are selected at random and the number of flaws per sheet is as follows.
 Sheet  Number af Flaws 132133405262708191102\begin{array} { c c } \text { Sheet } & \text { Number af Flaws } \\\hline 1 & 3 \\2 & 1 \\3 & 3 \\4 & 0 \\5 & 2 \\6 & 2 \\7 & 0 \\8 & 1 \\9 & 1 \\10 & 2\end{array}
Determine the lower and upper control limits for a c chart..
Question
Fifteen samples of size 5 have been taken from a production process. The sum of the sample averages was found to be 92.54 cm while the sum of the ranges was 115.36. Find the values of the center lines for the x-bar and R charts.
Question
An operator has determined what her percent defectives is for the machine which she operates. Based on several samples of 75 observations, she found p-bar to be 10%. She wants to set up a control chart using 3 standard deviation control limits.
a. What is the upper control limit for a p chart?
b. What is the lower control limit for a p chart?
Question
Define Statistical Process Control (SPC) and differentiate between common cause and (special or assignable) cause variation.
Question
A production process is sampled 24 times with a sample size of 6 yields an overall mean of 25.2 and an average range of 0.8. Determine the control limits for the x-bar and R charts.
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Deck 16: Quality Control and Spc
1
"Quality at the source" focuses on supplier quality at the beginning of a value chain.
False
2
In-process quality control is typically performed by the employees who run the processes.
True
3
Collecting continuous data is usually easier than collecting discrete data.
False
4
As long as no points are outside of the control limits in a control chart, the process would be considered to be in control
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5
If the mean in the range chart shifts down significantly, it indicates that the variation in the process has decreased.
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6
Over-adjusting a process that is in control will usually increase the variation in the output.
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7
With good management, all variability of output from any goods- or service-producing process can be eliminated.
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8
A process is considered to be in control when all common and special causes have been eliminated.
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9
A key element of a control system is the ability to measure performance and compare it to a performance standard.
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10
It generally costs more to correct an error or defect at the design stage than after it has reached the customer.
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11
Special cause variation tends to be easily detectable using statistical methods.
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12
In manufacturing, quality control is generally applied at the receiving stage from suppliers, during various production processes, and at the finished goods stage.
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13
The goal of statistical process control SPC) is to help identify and eliminate unwanted causes of variation.
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14
Quality control focuses on the design of a good or service to ensure meeting customer expectations.
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15
In developing process control charts, if special causes are present, they are not representative of true state of statistical control, and the calculations of the center line and control limits will be biased.
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16
A system governed only by common causes is called a stable system.
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17
Common cause variation generally accounts for about 10 to 15% of all variation within a process.
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18
Poor quality that might result from a broken tool or an employee who is ill would be an example of special cause variation.
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19
An xˉ\bar { x } -chart is always analyzed first because the control limits in the R-chart depend on the mean xˉ\bar{ x } ) of the data.
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20
Quality control of front-office operations in services can effectively use many of the same techniques that are applied in manufacturing.
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21
If process quality approaches six sigma levels, then standard types of control charts are not useful.
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22
Process capability quantifies the variation that results from common causes.
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23
Evaluating the trade-offs between the costs of detecting and replacing a defective part or allowing it to continue on through the production process is related to

A)Supplier certification and management
B)In-process control
C)Finished goods control
D)Statistical process control
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24
Both the p-chart and the c-chart use variable data.
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25
A c-chart is used to monitor the fraction nonconforming, whereas a p-chart monitors the number of nonconformances per unit.
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26
The lower the rate of defects, the higher the sample size should be in p-charts.
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27
Which of the following is not a component of a control system?

A)Statistical sampling
B)Measures of actual performance
C)Goals or standards
D)Comparison of actual performance with standards or goals for corrective action if necessary
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28
Regarding special cause variability, all are true except

A)Disrupt the random patterns of common cause variation
B)Arises from external sources that are not inherent in the process
C)Appear sporadically
D)Hard to detect using statistical methods
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29
When the range of process variation is larger than the design specifications, the process capability index will be less than 1.
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30
The value of Cpk is the average of the lower and upper capability indexes; that is, (Cpk = Cpl + Cpu)/2.
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31
Which of the following is most closely related to Statistical Process Control (SPC)?

A)Removing common causes of variation
B)Removing special causes of variation
C)Removing all causes of variation
D)Computing process capability
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32
Common cause variation is

A)Controllable at the sources
B)Called assignable cause
C)Can be reduced by statistical process control methods
D)The responsibility of management
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33
It is not necessary to have a process in control when establishing control limits.
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34
Testing whether a computer boots up the first time is an example of

A)Supplier certification and management
B)In-process control
C)Finished goods control
D)Statistical process control
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35
Quality at the source means that quality is controlled by

A)People responsible for the work
B)Quality control managers
C)Front line supervisors
D)Top management
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36
To account for the process centering, a two-sided capability index is often used.
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37
In the 1:10:100 Rule, which of the following would be correct?

A)If a defect or service error is identified and corrected at the design stage, it might cost $100 to fix.
B)If a defect or service error is identified and corrected at the production process stage, it might cost $100 to fix.
C)If a defect or service error is identified and corrected after it reaches the customer, it might cost $100 to fix.
D)If a defect or service error is identified and corrected at the design stage, it might cost $1x$10x$100 = $1,000 to fix.
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38
Common cause variation

A)Cannot be explained except in an aggregate sense
B)Is easily detectable with statistical methods and control charts
C)Cannot be reduced through better technology, process design, or training
D)Is the responsibility of the workers who run the processes
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39
If no special causes affect the output of a process, we say that the process is ____; when special causes are present, the process is said to be ____.

A)Qualified; not qualified
B)In control; out of control
C)Capable; not capable
D)Certified; not certified
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40
Larger sample sizes allow smaller changes in process characteristics to be detected with higher probability.
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41
Which is not related to a discrete metric?

A)Counting
B)Visual inspection
C)Good or bad
D)Time
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42
A supplier is producing a machined part for the transmission of your vehicle. The upper specification limit is 0.125 cm and the lower specification limit is 0.085. The process standard deviation for the process that makes this part is 0.008 and the process average is 0.105. What conclusion can be drawn from these process capability data?

A)The process is centered and capable.
B)The process is not centered and capable.
C)The process is centered and not capable.
D)The process is not centered and not capable.
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43
Which of the following suggests a process that is not in control?

A)Points follow a smooth pattern from the lower control limit to the upper control limit
B)The number of points above and below the center line is about the same
C)Points fall randomly above and below the center line
D)No points are outside the control limits
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44
To monitor the fraction of printed circuit boards that do not pass a functional test, (an) ____ is used.

A)-chart
B)p-chart
C)c-chart
D)R-chart
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45
Ritz-Carlton Hotel Company uses which one of the following methods to control quality?

A)R-bar and x-bar control charts to monitor customer complaints.
B)The 1:10:100 rule for goods quality only
C)Self-control of the individual employee based on their spontaneous behavior.
D)The process capability index for all goods and services provided by the hotel.
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46
Which of the following is not related to a continuous metric?

A)Measured as the degree of conformance to a specification
B)x-bar and R charts
C)p-chart
D)Time
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47
Define "quality at the source."
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48
Statistical calculations will show that if p = .01, then the sample size needed to have at least a 95% chance of finding at least one nonconformance is

A)30
B)100
C)300
D)1,000
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49
Define and give an example of the three components of any control system.
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50
If one was monitoring the average time to load a web page, the chart to use would be the

A)-chart
B)R-chart
C)p-chart
D)c-chart
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51
Historically, the average proportion of defective bars has been 0.015. Samples of 100 bars each are taken. Construct a p-chart using z = 3. Suppose a sample had 0.044 defectives. What would you do?

A)Nothing; it appears to be random variation.
B)Look for assignable causes.
C)Delete the sample with 0.044 defects and take another sample that is better.
D)None of these choices
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52
A bottling process sometimes results in overfills or underfills. Overfills are especially damaging to the equipment. Which process capability index would this company most want to monitor?

A)Cp
B)Cpl
C)Cpu
D)Cpk
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53
Which one of the following statements is true?

A)Common cause variation arises from external sources that are not inherent in the process and is where statistical quality control methods are most useful.
B)If the metric is discrete, a p- or c-chart is normally used.
C)Statistical process control is not used in hospitals due to the high liability costs.
D)Statistical process control charts are used when trying to monitor and control 5- and 6-sigma quality levels.
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54
Honda wants to monitor the number of blemishes scratches, blisters, etc.) on the fenders of its cars using a statistical process control chart. The most appropriate type of SPC chart is

A)x-bar.
B)R-bar chart.
C)Cpk chart
D)c-chart
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55
Indications in a control chart of an out-of-control situation include all of the following except

A)Six or seven consecutive points that increase or decrease in value
B)About the same number of points above and below the center line
C)There are points outside control limits
D)There are no more points near the center line than there are close to the control limits
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56
p-charts

A)Are used for the fraction of non-conforming items
B)Count the number of nonconformances per unit
C)Use continuous metrics
D)Can have negative lower limits
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57
The upper and lower specification limits for a component are 4.20, and 4.30 ounces, respectively. The process standard deviation is .02, and the process average is 4.24 ounces. Which one of the following statements is true.

A)The Cp index indicates the process is centered.
B)The Cp index indicates the process is not centered.
C)The Cpk index indicates the process is centered.
D)The Cpk index indicates the process is not centered.
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58
Explain and give the significance of the 1:10:100 Rule.
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59
The center line p-bar) for a p-chart is 0.50 with an UCL = 0.70 and a LCL = 0.35. The results of the next eight sample means are 0.45, 0.60, 0.39, 0.44, 0.48, 0.53, 0.54, and 0.61. What would you do?

A)Nothing; the process is in control.
B)increase the sample size to get a better measure.
C)investigate assignable causes because four observations are above the center line.
D)investigate assignable causes because there is a bad trend run).
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60
c-charts

A)Are used for the fraction of non-conforming items
B)Count the number of nonconformances per unit
C)Use continuous metrics
D)Can have negative lower limits
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61
Discuss the three basic quality control practices used in manufacturing.
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62
Describe the steps required to develop and use control charts.
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63
What is the purpose of a process-capability study and what is a process capability index?
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64
An airline found that on average, 0.62% of the luggage they received from passengers at LAX( Los Angeles Airport) is lost or damaged. On a typical day, 1000 pieces of luggage pass through this airport. The upper control limits for a p chart for monitoring the daily fraction nonconforming?
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65
The time to check out guests at a hotel was measured over the course of several weeks. Management believes that the target time for checking out guests should be between 2 and 4 minutes with a target of 3 minutes. The data gathered had a mean time of 2.75 minutes with a standard deviation of 0.4 minutes. Find and interpret Cp, Cpl, Cpu, and Cpk in the context of this situation.
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66
A bottling machine fills soft drink bottles with an average of 12.000 ounces with a standard deviation of 0.002 ounces. Determine the process capability index, Cp, if the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces.
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67
Over several days, 25 samples of 100 items each were tested for electrical resistance. A total of 60 items failed. Determine pˉ\bar { p } and the control limits for a p chart.
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68
Explain the issues associated with selecting the appropriate sample size and sampling frequency for control charts.
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69
Discuss the difference between a continuous metric and a discrete metric, give examples of each, and list the common control charts associated with each.
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70
Find the control limits for a c chart with Cˉ\bar { C } = 7.
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71
A Procter and Gamble factory process fills boxes with detergent. Construct an appropriate set of control charts to monitor the process. Historical data for fill weight in ounces) of eight samples is presented below. A sample size of six was used.
 Sample  Sample Mean  Sample Range 115.800.42216.100.38316.020.08415.950.15516.120.42616.180.23715.870.36816.200.40\begin{array} { c c c } \text { Sample } & \text { Sample Mean } & \text { Sample Range } \\\hline1 & 15.80 & 0.42 \\ 2 & 16.10 & 0.38 \\ 3 & 16.02 & 0.08 \\ 4 & 15.95 & 0.15 \\ 5 & 16.12 & 0.42 \\6 & 16.18 & 0.23 \\ 7 & 15.87 & 0.36 \\ 8 & 16.20 & 0.40 \\\end{array}
a.Compute the limits for both an R chart and x-bar chart. Compare the sample results to the limits of the charts.
b.Briefly explain what the quality control charts tell you. What actions, if any, would you take?
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72
A manufacturing company has a production process that has a target percent nonconforming of 4% which was developed based on numerous samples of 200 observations each. They want to develop control charts using 3 standard deviation limits.
a. What is the center line for the p chart?
b. What is the upper control limit for a p chart?
c. What is the lower control limit for a p chart?
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73
In general, discuss how to interpret control charts.
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74
A manufacturer inspected 40 circuit boards and found a total of 640 defects. If the company wants to use SPC to control the manufacturing process by monitoring the number of defects per circuit board, what type of chart should they use and what should the control limits be?
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75
A company is measuring the time it takes to complete an order. Twenty five samples of size 6 resulted in an average time of 80 minutes with an average range of 20 minutes. Find control limits for the appropriate control charts) that would be used to monitor this process.
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76
Flaws are counted on a standard steel plate sheet). Each sheet has the exact same dimensions. Ten sheets are selected at random and the number of flaws per sheet is as follows.
 Sheet  Number af Flaws 132133405262708191102\begin{array} { c c } \text { Sheet } & \text { Number af Flaws } \\\hline 1 & 3 \\2 & 1 \\3 & 3 \\4 & 0 \\5 & 2 \\6 & 2 \\7 & 0 \\8 & 1 \\9 & 1 \\10 & 2\end{array}
Determine the lower and upper control limits for a c chart..
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77
Fifteen samples of size 5 have been taken from a production process. The sum of the sample averages was found to be 92.54 cm while the sum of the ranges was 115.36. Find the values of the center lines for the x-bar and R charts.
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78
An operator has determined what her percent defectives is for the machine which she operates. Based on several samples of 75 observations, she found p-bar to be 10%. She wants to set up a control chart using 3 standard deviation control limits.
a. What is the upper control limit for a p chart?
b. What is the lower control limit for a p chart?
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79
Define Statistical Process Control (SPC) and differentiate between common cause and (special or assignable) cause variation.
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80
A production process is sampled 24 times with a sample size of 6 yields an overall mean of 25.2 and an average range of 0.8. Determine the control limits for the x-bar and R charts.
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