Question 1

What is the statistical process chart used to control the number of defects per unit of output?

Accepted Answer

A) x-bar chart 
B) R-chart 
C) p-chart 
D) AOQ chart 
E) c-chart 
A) x-bar chart 
B) R-chart 
C) p-chart 
D) AOQ chart 
E) c-chart

Question 2

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

Accepted Answer

Sigma x-ba

Question 3

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 spec limits of 20.5 and 19.5 oz,respectively,with a mean of 19.8 oz
and standard deviation of .1 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 according to the manager's standard.

Accepted Answer

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

Question 4

A manager wishes to build a 3-sigma range chart for a process.The sample size is five,the mean of sample means is 16.01,and the average range is 5.3.From Table S6.1,the appropriate value of D3 is 0,and D4 is 2.115.What are the UCL and LCL,respectively,for this range chart?

Accepted Answer

A) 33.9 and 11.2 
B) 33.9 and 0 
C) 11.2 and 0 
D) 6.3 and 0 
E) 31.91 and 0.11 
A) 33.9 and 11.2 
B) 33.9 and 0 
C) 11.2 and 0 
D) 6.3 and 0 
E) 31.91 and 0.11

Question 5

A process is said to be in statistical control when assignable causes are the only sources of variation.

Accepted Answer

A) True 
 B)False

Question 6

The width of a bronze bar is intended to be one-eighth of an inch (0.125 inches).Inspection samples contain five bars each.The average range of these samples is 0.01 inches.What are the upper and lower control limits for the x-bar and R-chart for this process,using 3-sigma limits?

Accepted Answer

x-bar chart: LCL = .

Question 7

Which of the following is true regarding the process capability index Cpk?

Accepted Answer

A) A Cpk index value of 1 is the highest possible. 
B) The larger the Cpk,the more units meet specifications. 
C) The Cpk index can only be used when the process centerline is also the specification centerline. 
D) Positive values of the Cpk index are good;negative values are bad. 
E) Its value will always be at least as large as the Cp value for the same process. 
A) A Cpk index value of 1 is the highest possible. 
B) The larger the Cpk,the more units meet specifications. 
C) The Cpk index can only be used when the process centerline is also the specification centerline. 
D) Positive values of the Cpk index are good;negative values are bad. 
E) Its value will always be at least as large as the Cp value for the same process.

Question 8

What is the purpose of the Operating Characteristics curve?

Accepted Answer

An OC curve plots the probabil

Question 9

To measure the voltage of batteries,one would sample by attributes.

Accepted Answer

A) True 
 B)False

Question 10

A city police chief decides to do an annual review of the police department by checking the number of monthly complaints.If the total number of complaints in each of the 12 months were 15,18,13,12,16,20,5,10,9,11,8,and 3 and the police chief wants a 90% confidence level,are the complaints in control?

Accepted Answer

From Table S6.2 z = 1.65
c-bar = (15 + 1

Question 11

________ is a method of measuring samples of lots or batches of product against predetermined standards.

Accepted Answer

The answer of ________ is a method of measuring samples...

Question 12

Pierre's Motorized Pirogues and Mudboats is setting up an acceptance sampling plan for the special air cleaners he manufactures for his boats.His specifications,and the resulting plan,are shown on the POM for Windows output below.Pierre wants acceptance sampling to remove ALL defects from his production of air cleaners.Explain carefully why this won't happen.

Accepted Answer

Acceptance sampling is not intended to r

Question 13

A c-chart is appropriate to plot the number of flaws in a bolt of fabric.

Accepted Answer

A) True 
 B)False

Question 14

A Cp value of 1.33 indicates a standard of how many standard deviations (sigmas)?

Accepted Answer

A) 6 
B) 1.33 
C) 2 
D) 3 
E) 4 
A) 6 
B) 1.33 
C) 2 
D) 3 
E) 4

Question 15

The Central Limit Theorem:

Accepted Answer

A) is the theoretical foundation of the c-chart. 
B) states that the average of assignable variations is zero. 
C) allows managers to use the normal distribution as the basis for building some control charts. 
D) states that the average range can be used as a proxy for the standard deviation. 
E) controls the steepness of an operating characteristic curve. 
A) is the theoretical foundation of the c-chart. 
B) states that the average of assignable variations is zero. 
C) allows managers to use the normal distribution as the basis for building some control charts. 
D) states that the average range can be used as a proxy for the standard deviation. 
E) controls the steepness of an operating characteristic curve.

Question 16

A Cpk index greater than ________ is a capable process,one that generates fewer than 2.7 defects per 1000 at the ±3σ level.

Accepted Answer

Question 17

Plots of sample ranges indicate that the most recent value is below the lower control limit.What course of action would you recommend?

Accepted Answer

A) Since there is no obvious pattern in the measurements,variability is in control. 
B) One value outside the control limits is insufficient to warrant any action. 
C) Lower than expected dispersion is a desirable condition;there is no reason to investigate. 
D) The process is out of control;reject the last units produced. 
E) Variation is not in control;investigate what created this condition. 
A) Since there is no obvious pattern in the measurements,variability is in control. 
B) One value outside the control limits is insufficient to warrant any action. 
C) Lower than expected dispersion is a desirable condition;there is no reason to investigate. 
D) The process is out of control;reject the last units produced. 
E) Variation is not in control;investigate what created this condition.

Question 18

Cartons of Plaster of Paris are supposed to weigh exactly 32 oz.Inspectors want to develop process control charts.They take ten samples of six boxes each and weigh them.Based on the following data,compute the lower and upper control limits and determine whether the process is in control.

Accepted Answer

n = 6;overall mean = 34.23; @#IMG-DLM& = 0.52.
 @#IMG-DLM& @#IMG-DLM&

Question 19

A manager wants to build 3-sigma x-bar control limits for a process.The target value for the mean of the process is 10 units,and the standard deviation of the process is 6.If samples of size 9 are to be taken,what will be the upper and lower control limits,respectively?

Accepted Answer

A) -8 and 28 
B) 16 and 4 
C) 12 and 8 
D) 4 and 16 
E) 8 and 12 
A) -8 and 28 
B) 16 and 4 
C) 12 and 8 
D) 4 and 16 
E) 8 and 12

Question 20

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.The process is currently operating at a mean thickness of 2.50 mm.(a)What are the upper and lower specification limits for this product? (b)What is the Cp for this process? (c)About what percent of all units of this gasket will meet specifications? Does this meet the technical definition of Six Sigma?

Accepted Answer

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

Exam 19: Statistical Process Control

What is the statistical process chart used to control the number of defects per unit of output?

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

A manager wishes to build a 3-sigma range chart for a process.The sample size is five,the mean of sample means is 16.01,and the average range is 5.3.From Table S6.1,the appropriate value of D3 is 0,and D4 is 2.115.What are the UCL and LCL,respectively,for this range chart?

A process is said to be in statistical control when assignable causes are the only sources of variation.

The width of a bronze bar is intended to be one-eighth of an inch (0.125 inches).Inspection samples contain five bars each.The average range of these samples is 0.01 inches.What are the upper and lower control limits for the x-bar and R-chart for this process,using 3-sigma limits?

Which of the following is true regarding the process capability index Cpk?

What is the purpose of the Operating Characteristics curve?

To measure the voltage of batteries,one would sample by attributes.

________ is a method of measuring samples of lots or batches of product against predetermined standards.

A c-chart is appropriate to plot the number of flaws in a bolt of fabric.

A Cp value of 1.33 indicates a standard of how many standard deviations (sigmas)?

The Central Limit Theorem:

A Cpk index greater than ________ is a capable process,one that generates fewer than 2.7 defects per 1000 at the ±3σ level.

Plots of sample ranges indicate that the most recent value is below the lower control limit.What course of action would you recommend?

Cartons of Plaster of Paris are supposed to weigh exactly 32 oz.Inspectors want to develop process control charts.They take ten samples of six boxes each and weigh them.Based on the following data,compute the lower and upper control limits and determine whether the process is in control.

A manager wants to build 3-sigma x-bar control limits for a process.The target value for the mean of the process is 10 units,and the standard deviation of the process is 6.If samples of size 9 are to be taken,what will be the upper and lower control limits,respectively?

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A manager wishes to build a 3-sigma range chart for a process.The sample size is five,the mean of sample means is 16.01,and the average range is 5.3.From Table S6.1,the appropriate value of D₃ is 0,and D₄ is 2.115.What are the UCL and LCL,respectively,for this range chart?

Which of the following is true regarding the process capability index C_pk?

A C_p value of 1.33 indicates a standard of how many standard deviations (sigmas)?

A C_pk index greater than ________ is a capable process,one that generates fewer than 2.7 defects per 1000 at the ±3σ level.