Deck 15: Statistical Quality Control
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Deck 15: Statistical Quality Control
1
Samples sizes of five are often used when building control charts.
True
2
The U.S.government awards for quality achievement are called the Malcolm Baldrige National Quality Awards.
True
3
Statistical process control uses regression and other forecasting tools to help control processes.
False
4
The underlying distribution for a p-chart is binomial.
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5
Variations that need not occur in production processes are referred to as
A)assignable variations.
B)control variations.
C)natural variations.
D)process variations.
E)None of the above
A)assignable variations.
B)control variations.
C)natural variations.
D)process variations.
E)None of the above
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6
Which of the following is not a popular definition of quality?
A)Quality is the totality of features and characteristics of a product or service that bears on its ability to satisfy stated or implied needs.
B)Quality is defined as a competitively priced product that surpasses customer needs.
C)Quality is the degree to which a product conforms to design or specification.
D)Quality is fitness for use.
E)Even though quality cannot be defined,you know what it is.
A)Quality is the totality of features and characteristics of a product or service that bears on its ability to satisfy stated or implied needs.
B)Quality is defined as a competitively priced product that surpasses customer needs.
C)Quality is the degree to which a product conforms to design or specification.
D)Quality is fitness for use.
E)Even though quality cannot be defined,you know what it is.
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7
P-charts and c-charts are examples of control charts for variables.
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8
Technically,to achieve Six Sigma quality,there would have to be fewer than 3.4 defects per million opportunities.
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9
If we are tracking quality of performance for a class of students,we should plot the individual grades on an x-bar chart,and the pass/fail result on a p-chart.
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10
Assignable variations in a process are also called natural variations.
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11
It is impossible to develop a process that has zero variability.
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12
W.Edwards Deming introduced control charts in the 1920s.
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13
The central limit theorem provides the statistical foundation for control charts.
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14
C-charts are used to analyze the proportion defective in a sample.
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15
If we are attempting to control the diameter of bowling bowls,we will find a p-chart to be quite helpful.
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16
Variations that usually occur in a process are called
A)process variations.
B)natural variations.
C)control variations.
D)assignable variations.
E)None of the above
A)process variations.
B)natural variations.
C)control variations.
D)assignable variations.
E)None of the above
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17
A c-chart would be appropriate to monitor the number of weld defects on the steel plates of a ship's hull.
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18
If all of the control points on a control chart lie between the UCL and the LCL,the process is always in control.
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19
A p-chart could be used to monitor the average weight of cereal boxes.
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20
An x-bar chart would be appropriate to monitor the number of defects in a production lot.
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21
The inspection of cans of juice involves sampling some cans and weighing them.The overall average for the samples is 39 ounces.Each sample contains 36 cans.The standard deviation is estimated to be 2 ounces.The 99.7% lower control chart limit for the average would be
A)37.67.
B)38.00.
C)39.33.
D)40.00.
E)None of the above
A)37.67.
B)38.00.
C)39.33.
D)40.00.
E)None of the above
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22
R-charts measure changes in
A)central tendency.
B)degree of variation.
C)number of defects per production lot.
D)natural variations.
E)None of the above
A)central tendency.
B)degree of variation.
C)number of defects per production lot.
D)natural variations.
E)None of the above
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23
Table 15-1 
Refer to Table 15-1.Bags of tea are sampled to ensure proper weight.The overall average for the samples is 8 ounces.Each sample contains 10 bags.The average range is 0.1 ounces.What is the lower limit of the sample averages chart?
A)7.9692
B)8.0308
C)7.9076
D)8.0924
E)None of the above

Refer to Table 15-1.Bags of tea are sampled to ensure proper weight.The overall average for the samples is 8 ounces.Each sample contains 10 bags.The average range is 0.1 ounces.What is the lower limit of the sample averages chart?
A)7.9692
B)8.0308
C)7.9076
D)8.0924
E)None of the above
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24
Table 15-1 
Refer to Table 15-1.Bags of chocolate candy are sampled to ensure proper weight.The overall average for the samples is 36 ounces.Each sample contains eight bags.The average range is 1.3 ounces.The lower control chart limit for the sample averages would be
A)36.3730.
B)36.4849.
C)35.6270.
D)35.5150.
E)None of the above

Refer to Table 15-1.Bags of chocolate candy are sampled to ensure proper weight.The overall average for the samples is 36 ounces.Each sample contains eight bags.The average range is 1.3 ounces.The lower control chart limit for the sample averages would be
A)36.3730.
B)36.4849.
C)35.6270.
D)35.5150.
E)None of the above
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25
Table 15-1 
Refer to Table 15-1.Bags of chocolate candy are sampled to ensure proper weight.The overall average for the samples is 36 ounces.Each sample contains twelve bags.The average range is 1.3 ounces.The upper control chart limit for the sample averages would be
A)36.3458.
B)35.6542.
C)38.3101.
D)36.6279.
E)37.1258.

Refer to Table 15-1.Bags of chocolate candy are sampled to ensure proper weight.The overall average for the samples is 36 ounces.Each sample contains twelve bags.The average range is 1.3 ounces.The upper control chart limit for the sample averages would be
A)36.3458.
B)35.6542.
C)38.3101.
D)36.6279.
E)37.1258.
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26
The U.S.government award for quality achievement is the
A)Deming Prize.
B)Shewhart Symbol of Excellence.
C)Malcolm Baldrige National Quality Award.
D)Bush Award for Quality Management.
E)Six Sigma Certification.
A)Deming Prize.
B)Shewhart Symbol of Excellence.
C)Malcolm Baldrige National Quality Award.
D)Bush Award for Quality Management.
E)Six Sigma Certification.
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27
A company believes a process monitored by an x-bar chart to be in control.When the most recent control point exceeded the UCL value by 20%,the company should
A)believe that a random bad luck chance occurred and proceed.
B)suspect that an assignable cause of variation now exists and can be found.
C)ignore the control point completely,as it is simply an outlier.
D)wait for the next four samples to be taken to see if a trend develops.
E)All of the above
A)believe that a random bad luck chance occurred and proceed.
B)suspect that an assignable cause of variation now exists and can be found.
C)ignore the control point completely,as it is simply an outlier.
D)wait for the next four samples to be taken to see if a trend develops.
E)All of the above
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28
The p-chart would be useful when we
A)took a number of measurements and computed the average.
B)took a number of measurements and computed the ranges.
C)found the fraction of the production lot defective.
D)found the number of defective items in a production lot.
E)None of the above
A)took a number of measurements and computed the average.
B)took a number of measurements and computed the ranges.
C)found the fraction of the production lot defective.
D)found the number of defective items in a production lot.
E)None of the above
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29
Table 15-1 
Refer to Table 15-1.The Pristine Paint Company produces paint in gallon cans.They have found that in more than 10 samples of 8 cans each,the average gallon can contains 1.1 gallons of paint.The average range found over these samples is 0.15 gallons.What is the upper control limit for the sample averages in this process?
A)1.100
B)1.150
C)1.268
D)1.156
E)None of the above

Refer to Table 15-1.The Pristine Paint Company produces paint in gallon cans.They have found that in more than 10 samples of 8 cans each,the average gallon can contains 1.1 gallons of paint.The average range found over these samples is 0.15 gallons.What is the upper control limit for the sample averages in this process?
A)1.100
B)1.150
C)1.268
D)1.156
E)None of the above
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30
Table 15-1 
Refer to Table 15-1.The average range of a process for packaging cereal is 1.1 ounces.If the sample size is 10,find the lower control chart limit for the range chart.
A)0.245
B)1.955
C)1.777
D)0.223
E)None of the above

Refer to Table 15-1.The average range of a process for packaging cereal is 1.1 ounces.If the sample size is 10,find the lower control chart limit for the range chart.
A)0.245
B)1.955
C)1.777
D)0.223
E)None of the above
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31
The R-chart would be useful when we
A)took a number of measurements and computed the average.
B)took a number of measurements and computed the ranges.
C)found the fraction of the production lot defective.
D)found the number of defective items in a production lot.
E)None of the above
A)took a number of measurements and computed the average.
B)took a number of measurements and computed the ranges.
C)found the fraction of the production lot defective.
D)found the number of defective items in a production lot.
E)None of the above
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32
A p-chart is based on which of the following probability distributions?
A)Poisson
B)Binomial
C)Uniform
D)Exponential
E)Gamma
A)Poisson
B)Binomial
C)Uniform
D)Exponential
E)Gamma
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33
Bags of pretzels are sampled to ensure proper weight.The overall average for the samples is 9 ounces.Each sample contains 25 bags.The standard deviation is estimated to be 3 ounces.The upper control chart limit (for 99.7% confidence)for the average would be ________ ounces.
A)9.4
B)18.0
C)10.2
D)7.2
E)10.8
A)9.4
B)18.0
C)10.2
D)7.2
E)10.8
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34
Control charts that are used to monitor processes that are measured in continuous units are classified as which of the following?
A)Control charts for attributes
B)Control charts for variables
C)Control charts for defects
D)Control charts for quality
E)Control charts for sigma
A)Control charts for attributes
B)Control charts for variables
C)Control charts for defects
D)Control charts for quality
E)Control charts for sigma
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35
Table 15-1 
Refer to Table 15-1.To guarantee that cans of soup are properly filled,some cans are sampled and the amounts measured.The overall average for the samples is 12 ounces.Each sample contains 10 cans.The average range is 0.4 ounces.The upper control chart limit for the sample averages would be
A)12.1232.
B)11.8768.
C)13.2.
D)12.308.
E)None of the above

Refer to Table 15-1.To guarantee that cans of soup are properly filled,some cans are sampled and the amounts measured.The overall average for the samples is 12 ounces.Each sample contains 10 cans.The average range is 0.4 ounces.The upper control chart limit for the sample averages would be
A)12.1232.
B)11.8768.
C)13.2.
D)12.308.
E)None of the above
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36
Who introduced control charts in 1924?
A)W.Edwards Deming
B)Philip Crosby
C)J.M.Juran
D)William Shewhart
E)Malcolm Baldrige
A)W.Edwards Deming
B)Philip Crosby
C)J.M.Juran
D)William Shewhart
E)Malcolm Baldrige
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37
Table 15-1 
Refer to Table 15-1.To guarantee that cans of soda are properly filled,some cans are sampled and the amounts measured.The overall average for the samples is 12 ounces.Each sample contains 10 cans.The average range is 0.4 ounces.The lower control chart limit for the sample averages would be
A)12.1232.
B)11.8768.
C)13.2.
D)12.308.
E)None of the above

Refer to Table 15-1.To guarantee that cans of soda are properly filled,some cans are sampled and the amounts measured.The overall average for the samples is 12 ounces.Each sample contains 10 cans.The average range is 0.4 ounces.The lower control chart limit for the sample averages would be
A)12.1232.
B)11.8768.
C)13.2.
D)12.308.
E)None of the above
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38
The
-chart would be useful when we
A)took a number of measurements and computed the average.
B)took a number of measurements and computed the ranges.
C)found the fraction of the production lot defective.
D)found the number of defective items in a production lot.
E)None of the above

A)took a number of measurements and computed the average.
B)took a number of measurements and computed the ranges.
C)found the fraction of the production lot defective.
D)found the number of defective items in a production lot.
E)None of the above
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39
Table 15-1 
Refer to Table 15-1.The average range of a process for packaging cereal is 1.1 ounces.If the sample size is 10,find the upper control chart limit for the range chart.
A)0.245
B)1.955
C)1.777
D)0.223
E)None of the above

Refer to Table 15-1.The average range of a process for packaging cereal is 1.1 ounces.If the sample size is 10,find the upper control chart limit for the range chart.
A)0.245
B)1.955
C)1.777
D)0.223
E)None of the above
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40

A)variation.
B)central tendency.
C)natural variations.
D)numbers of defects.
E)None of the above
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41
Defects in the finish of new,custom,automobiles usually require the whole body to be repainted.In one "custom" shop,the percentage of defective finishes has been 2 percent.If a sample size of 10 is taken,what should the 99.7 percent upper control limit be?
A)0.1328
B)0.1085
C)0.0443
D)0.1528
E)None of the above
A)0.1328
B)0.1085
C)0.0443
D)0.1528
E)None of the above
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42
Table 15-2
Given the sample results (100 units in each sample):
A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 250.The company wishes to develop a control chart for the number of complaints.What would the lower control limit on the number of complaints per day be for a 3 sigma (99.7%)control chart?
A)20
B)0
C)15
D)10
E)202.6
Given the sample results (100 units in each sample):

A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 250.The company wishes to develop a control chart for the number of complaints.What would the lower control limit on the number of complaints per day be for a 3 sigma (99.7%)control chart?
A)20
B)0
C)15
D)10
E)202.6
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43
Which of the following statements is FALSE regarding control charts?
A)X-bar charts measure central tendency in a process.
B)R-charts measure the variability of a process.
C)It is not possible to have a LCL below 0 in a c-chart.
D)It is not possible to have a UCL value above 1 in a p-chart.
E)The nominal line is always the midpoint between the UCL and LCL.
A)X-bar charts measure central tendency in a process.
B)R-charts measure the variability of a process.
C)It is not possible to have a LCL below 0 in a c-chart.
D)It is not possible to have a UCL value above 1 in a p-chart.
E)The nominal line is always the midpoint between the UCL and LCL.
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44
A c-chart is based on which of the following probability distributions?
A)Poisson
B)Binomial
C)Uniform
D)Exponential
E)Gamma
A)Poisson
B)Binomial
C)Uniform
D)Exponential
E)Gamma
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45
Defects in computer hard-drives will usually render the entire computer worthless.For a particular model,the percent defective in the past has been 1%.If a sample size of 400 is taken,what would the 95.5% lower control chart limit be?
A)0.00995
B)0.00005
C)0.00000
D)0.01000
E)0.09550
A)0.00995
B)0.00005
C)0.00000
D)0.01000
E)0.09550
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46
A coffee dispenser is supposed to dispense coffee into an 8 o.z.cup.The average amount of coffee filled into the cup must be below 7.9.This is best monitored by which of the following control charts?
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
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47
Technically,to achieve Six Sigma quality,there would have to be fewer than ________ defects per million opportunities.
A)6
B)166,667
C)667
D)67
E)3.4
A)6
B)166,667
C)667
D)67
E)3.4
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48
Which of the following control charts is/are for variables?
A)x-bar chart only
B)R-chart only
C)p-chart only
D)A and B
E)A,B,and C
A)x-bar chart only
B)R-chart only
C)p-chart only
D)A and B
E)A,B,and C
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49
A plant manager is concerned with the variability of beer being filled in 12 oz.cans.The most appropriate control chart would be which of the following?
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
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50
Table 15-2
Given the sample results (100 units in each sample):
The c-chart is useful when we
A)take a number of measurements and compute the average.
B)take a number of measurements and compute the ranges.
C)find the fraction of the production lot defective.
D)find the number of defective items in a production lot.
E)None of the above
Given the sample results (100 units in each sample):

The c-chart is useful when we
A)take a number of measurements and compute the average.
B)take a number of measurements and compute the ranges.
C)find the fraction of the production lot defective.
D)find the number of defective items in a production lot.
E)None of the above
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51
Defects in marble countertops usually require the whole top to be reconstructed.In one kitchen shop,the percent defective in the past has been one percent.If a sample size of 30 is taken,what should the 95.5 percent upper control limit be?
A)0.030
B)0.000
C)0.046
D)0.064
E)None of the above
A)0.030
B)0.000
C)0.046
D)0.064
E)None of the above
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52
Table 15-2
Given the sample results (100 units in each sample):
A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 250.The company wishes to develop a control chart for the number of complaints.What would the lower control limit on the number of complaints per day be for a 2 sigma (95.5%)control chart?
A)20
B)0
C)15
D)10
E)202.6
Given the sample results (100 units in each sample):

A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 250.The company wishes to develop a control chart for the number of complaints.What would the lower control limit on the number of complaints per day be for a 2 sigma (95.5%)control chart?
A)20
B)0
C)15
D)10
E)202.6
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53
Table 15-2
Given the sample results (100 units in each sample):
A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 360.The company wishes to develop a control chart for the number of complaints.What would the upper control limit on the number of complaints per day be for a 3 sigma (99.7%)control chart?
A)18
B)36
C)42
D)54
E)None of the above
Given the sample results (100 units in each sample):

A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 360.The company wishes to develop a control chart for the number of complaints.What would the upper control limit on the number of complaints per day be for a 3 sigma (99.7%)control chart?
A)18
B)36
C)42
D)54
E)None of the above
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54
Which of the following control charts is/are for attributes?
A)x-bar chart only
B)R-chart only
C)p-chart only
D)A and B
E)A,B,and C
A)x-bar chart only
B)R-chart only
C)p-chart only
D)A and B
E)A,B,and C
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55
Table 15-2
Given the sample results (100 units in each sample):
A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 250.The company wishes to develop a control chart for the number of complaints.What would the upper control limit on the number of complaints per day be for a 2 sigma (95.5%)control chart?
A)35
B)40
C)50
D)200
E)None of the above
Given the sample results (100 units in each sample):

A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 250.The company wishes to develop a control chart for the number of complaints.What would the upper control limit on the number of complaints per day be for a 2 sigma (95.5%)control chart?
A)35
B)40
C)50
D)200
E)None of the above
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56
A quality control program is being developed for batteries.The percent defective for these in the past has been 3%.If a sample size of 120 is taken,what would the 99.7% upper control chart limit be?
A)0.0812
B)0.0767
C)0.0611
D)0.0307
E)0.0471
A)0.0812
B)0.0767
C)0.0611
D)0.0307
E)0.0471
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57
Table 15-2
Given the sample results (100 units in each sample):
A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 360.The company wishes to develop a control chart for the number of complaints.What would the upper control limit on the number of complaints per day be for a 2 sigma (95.5%)control chart?
A)12
B)42
C)48
D)54
E)None of the above
Given the sample results (100 units in each sample):

A company has been receiving complaints about the attitude of some sales clerks.Over a 10-day period,the total number of complaints was 360.The company wishes to develop a control chart for the number of complaints.What would the upper control limit on the number of complaints per day be for a 2 sigma (95.5%)control chart?
A)12
B)42
C)48
D)54
E)None of the above
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58
When receiving a shipment from a supplier,inspection must be done to check the fraction of defective products.This is best monitored by which of the following control charts?
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
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59
An airline company tracks the number of lost bags that occur each day.This is best monitored by which of the following control charts?
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
A)x-bar chart
B)R-chart
C)p-chart
D)c-chart
E)None of the above
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60
Table 15-2
Given the sample results (100 units in each sample):
Based on Table 15-2,find the 95.5% lower limit of the appropriate p-chart.
A)0.0076
B)0.0964
C)0.2014
D)0.1397
E)None of the above
Given the sample results (100 units in each sample):

Based on Table 15-2,find the 95.5% lower limit of the appropriate p-chart.
A)0.0076
B)0.0964
C)0.2014
D)0.1397
E)None of the above
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61
A retail store charts the number of customer returns per day.Under normal conditions,the store expects 10 customer returns per day.During the past 10 days,the observed customer returns were as follows: 12,9,8,14,8,13,8,10,9,11.Using 99.7% control limits,is the process under control?
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62
A p-chart has been developed for a particular item.In the past,4% of such items have been found to be defective.If a sample of 100 is taken,and 9 of these are found to be defective,should the process be considered out of control based on 95.5% control limits? Explain.
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63
A p-chart has been developed for a particular item.In the past,4% of such items have been found to be defective.If a sample of 100 is taken,and 9 of these are found to be defective,should the process be considered out of control based on 99.7% control limits? Explain.
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64
The U.S.government award for quality achievement is called the ________.
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65
A local children's boutique specializes in formal wear for young girls.It has recently hired a new seamstress.To assure the dresses have standard sizes,twenty samples of each 12 dresses that were labeled 3T were sampled.The average length from shoulder to hemline measured 21 inches with a range of 0.5 inches.A sample has just been taken with the following lengths: 21.25,22.0,21.5,20.75,21.25,21.35,21.35,21.35,21.35,21.35,21.35,and 21.35.Is the new seamstress performing at an acceptable quality level?
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66
A coffee company is attempting to make certain that all its packaged coffee beans contain the same amount of coffee bean by weight.Over the last few days,it has taken several samples.The overall average weight of the sampled packages is 16 ounces,with an average range of 3 ounces.Each sample was of four packages.What would be the 99.7 upper and lower control limits for an R chart?
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67
Natural variation of a production process that follows a normal distribution is characterized by two parameters: ________ and ________.
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68
When a process is in control,only ________ variations exist in the process.
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69
________ introduced control charts in 1924.
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70
If we wish to monitor the average diameter of the hula hoops we are producing,the distribution we base our statistics on is the ________ distribution.
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71
________ refers to a quality emphasis that encompasses the entire organization,from supplier to customer.
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72
A computer diskette manufacturer is concerned that some diskettes have bad sectors that would cause a diskette to hold less information than it was intended to hold.In the past,only 5% of these diskettes have had bad sectors.If the company wishes to set 95.5% control limits based on samples of size 500,what would these limits be?
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73
A computer software manufacturer has a toll-free telephone number that customers may use if they have problems or questions about the software.In the past,the company has averaged four calls per hour on a particular product.If a 95.5% c-chart is developed for this,what would the limits be?
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74
Technically,to achieve Six Sigma quality,there would have to be fewer than ________ defects per million opportunities.
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75
Leo Phan is the new business manager at PC Priced Right.He is concerned that his register is incorrectly ringing items.For those items sold during the last seven days,he has counted 10 that were incorrectly charged.What would be the 99.7% control limits for the number of incorrect rings per week on this process?
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76
A coffee company is attempting to make certain that all its packaged coffee beans contain the same amount of coffee bean by weight.Over the last few days,it has taken several samples.The overall average weight of the sampled packages is 16 ounces,with an average range of 4 ounces.Each sample was of five packages.What would be the 99.7 upper and lower control limits for an
-chart?

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77
________ are graphs that show upper and lower limits for the process we want to control.
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78
A company is producing cylindrical blocks for a children's toy.The average diameter of a block is 3.5 inches.Sixteen blocks are inspected and the diameters are measured.The standard deviation is estimated to be 0.02 inches.What are the 99.7% upper and lower control limits for the x-bar chart?
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79
When a process is out of control,________ variations exist in the process.
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80
A(n)________ chart is appropriate to monitor the weight of chocolate candy bars.
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