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**Frequently Asked Questions**

#### Question # 1

**At a particular time, three components are in parallel and each has a reliability of 0.98.
What is the reliability of the system?**

A. 0.98

B. 0.94

C. 0.37

D. 0.26

E. none of the above

#### Question # 2

**A process using a p-chart has pbar = 0.076 and nbar = 4.86. Find the control limits.**

A. 0.069 and 0.083

B. 0.072 and 0.080

C. 0.040 and 0.112

D. 0.0756 and 0.0764

E. none of the above

#### Question # 3

**A process shows the following number of defects. Each sample size for this process is85. 3 8 2 7 7 6 8 8 9 5What control chart should be used?**

A. x-bar and R

B. median

C. individual and moving range

D. p

E. np

F. c

G. u

H. none of the above

#### Question # 4

**Find the value of b or b0:**

A. 3.33

B. –3.33

C. 4.08

D. –4.08

E. 1.24

F. –1.24

#### Question # 5

**A set of data from a process has 8 readings per sample and 50 samples. The mean of the
50 sample means is 12.62. The mean of the 50 ranges is 0.18.Find the control limits for a
median chart.**

A. 12.52 and 12.72

B. 12.54 and 12.70

C. 0.02 and 0.33

D. none of the above

#### Question # 6

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 10?**

A.

B.

C.

D. none of the above

#### Question # 7

**What percent of population falls below the lower specification limits?**

A. 9.18%

B. 22.66%

C. 6.68 %

D. 1.83%

#### Question # 8

**The team development stage characterized by expression of individual opinions and ideas
often without regard for team objectives is known as:**

A. performing

B. norming

C. conflicting

D. storming

E. brainstorming

#### Question # 9

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 6? **

A.

B.

C.

D. none of the above

#### Question # 10

**The test statistic is approximately:**

A. 4.79

B. 6.71

C. 2.08

D. 5.44

#### Question # 11

**Find the upper control limit for a range chart if n = 4 and the average range is 2.282.**

A. 2.282

B. 4.564

C. 5.208

D. 3.423

#### Question # 12

**The critical value(s) is/are: **

A. 1.645

B. 1.96

C. 1.645

D. 1.96

#### Question # 13

**A complex system has many causes and effects. These may be illustrated on which of the
following: **

A. matrix diagram

B. cause and effect diagram

C. process decision program chart

D. affinity diagram

E. activity network diagram

F. tree diagram

G. prioritization matrix

H. matrix diagram

I. interrelationship digraph

#### Question # 14

**An advantage of using standard deviation rather than range for measuring dispersion of a
large sample is that:**

A. standard deviation has a simpler formula

B. calculators have a standard deviation key but not a range key

C. standard deviation uses information from each measurement

D. range calculations are not normally distributed

#### Question # 15

**The number of factors, levels and replications: **

A. 3, 3, 3

B. 2, 3, 2

C. 3, 2, 2,

D. 3, 2, 3

E. 2, 2, 2

F. none of the above

#### Question # 16

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 12?**

A.

B.

C.

D. none of the above

#### Question # 17

**For a line in an FMEA form a team has established the following: Cost: $82 Severity: 7
Occurrence: 9 Detection: 4 Target date: 7 days What should the risk priority number (RPN)
be for this line: **

A. 144,648

B. 252 C. 1764

C. 63

D. none of the above

#### Question # 18

**A control chart is to be used to display the number of non-conducting diodes. Each point on
the chart represent the number of bad diodes in a box of 1000. The appropriate control
chart to use is: **

A. x-bar and R

B. median

C. individual and moving range

D. p

E. np

F. u

G. c

#### Question # 19

**Dr. W. Edwards Deming:**

A. lectured in Japan after World War II

B. was an author of several books in the US

C. lectured widely in the US

D. is considered an expert in the quality field

E. all of the above

F. none of the above

#### Question # 20

**A project whose definition does not include performance metrics: **

A. will typically be short term

B. use statistical inference

C. have a high risk of failure

D. should not be approved

E. none of the above

#### Question # 21

**Find the value of m or b1:**

A. 0.25

B. 0.63

C. 0.75

D. 1.22

#### Question # 22

**A process shows the following number of defectives. Each sample size for this process is
85.3 8 2 7 7 6 8 8 9 5
What control chart should be used? **

A. x-bar and R

B. median

C. individual and moving range

D. p

E. np

F. c G. u H. none of the above

#### Question # 23

**A control chart will be used to monitor the number of scratches on a product. The following
data have been collected: The appropriate control chart to use is:**

A. x-bar and R

B. median

C. individual and moving range

D. p

E. np

F. u

G. c

#### Question # 24

**If item A is more likely to be detected than item B which will have the highest Severity
value? **

A. item A

B. item B

C. cannot be determined

#### Question # 25

**A process shows the following number of defectives. Each sample size for this process is
85.3 8 2 7 7 6 8 8 9 5
Find the control limits. **

A. none and 13.5

B. 12.6 and 25.2

C. none and 25.2

D. none of the above

#### Question # 26

**An x-bar and R chart has four part measurements per sample The control limits on the
averages chart are 2.996 and 3.256. Assume the process data form a normal
distribution.What is the probability that the next plotted point falls outside the control limits? **

A. 0.00135

B. 0.0027

C. 0.0054

D. none of the above

#### Question # 27

**A set of data from a process has 8 readings per sample and 50 samples. The mean of the
50 sample means is 12.62. The mean of the 50 ranges is 0.18.Find control limits for the R
chart.**

A. 0.10 and 0.25

B. none and 0.33

C. 0.02 and 0.33

D. none of the above

#### Question # 28

**Find sd: **

A. 0.2875

B. 0.3502

C. 0.2714

D. 0.2295

#### Question # 29

**Calculate the estimated variance of the population from which the following values have
been randomly selected: 2.8 2.7 2.6 2.9 2.8 2.8 2.8: **

A. .095

B. .009

C. .088

D. .008

#### Question # 30

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 8? **

A.

B.

C.

D. none of the above

#### Question # 31

**A principle disadvantage of fractional factorial experimental designs is:**

A. reduced cost

B. improved accuracy

C. confounding of effects

D. higher confidence level

E. reduced probability of type II errors

#### Question # 32

**An assembly line has 3 × 3 squares painted behind each person. Signs indicate the parts and quantities that should be placed there. This is an example of:**

A. visual factory

B. kanban

C. poka-yoke

D. standard work

E. set up time reduction (SMED)

#### Question # 33

**A robust design is one which: **

A. has high reliability

B. has low maintenance frequency

C. is simple to manufacture

D. is resistant to varying environmental conditions

#### Question # 34

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 14?**

A.

B.

C.

D. none of the above

#### Question # 35

**Find the value of (11) in the ANOVA table. Assume:
**

A. Choices Not available (but this Question Answer E)

#### Question # 36

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 9? **

A.

B.

C.

D. none of the above

#### Question # 37

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 4?**

A.

B.

C.

D. none of the above

#### Question # 38

**An full factorial experiment has three factors. Each factor has three levels. The number of
test combinations or runs is: **

A. 9

B. 6

C. 27

D. 36

E. 33

#### Question # 39

**An example of a project metric would be:**

A. the decrease in defect occurrence

B. the decrease in product cost

C. the decrease in cycle time

D. all the above

#### Question # 40

**This QFD matrix was used in the design process for a ball point pen. What symbol is
appropriate for the square labeled 2?**

A.

B.

C.

D. none of the above

#### Question # 41

**A population is bimodal with a variance of 5.77. One hundred samples of size 30 are
randomly collected and the 100 sample means are calculated. The standard deviation of
these sample means is approximately: **

A. 5.77

B. 2.40

C. 1.05

D. 0.44

E. 0.19

#### Question # 42

**A team wants to make a schedule for a project showing which tasks must be done
sequentially and which may be done simultaneously. Which tool is most appropriate?**

A. matrix diagram

B. cause and effect diagram

C. process decision program chart

D. affinity diagram

E. activity network diagram

F. tree diagram

G. prioritization matrix

H. matrix diagram

I. interrelationship digraph

#### Question # 43

**An experiment has seven factors with two levels each. The experiment has eight runs. This
experimental design is called: **

A. full factorial design

B. half fractional factorial design

C. interaction

D. none of the above

#### Question # 44

**The following is a set of individual measurements:3 5 4 5 6 3 4 3 2 4 5 6 5 7 6 4 5 5 8 7 6 6 7 7 4Find the control limits for the individuals chart.**

A. .7 and 11.2

B. 1.6 and 8.6

C. 2.7 and 7.5

D. none of the above

#### Question # 45

**Find the value of (4) in the ANOVA table. Assume:
**

A. 16.4

B. 3.2

C. 18.6

D. 23.2

E. 4.54

F. 12.2

G. 0.10<P<1

H. 2.82

I. 1.48

#### Question # 46

**If the value of the test statistic had been 0.185, what action should have been taken
regarding the null hypothesis?**

A. rejected

B. accepted

C. none of the above

D. all of the above

#### Question # 47

**Find Cp**

A. 2.00

B. 0.56

C. 1.33

D. 0.44

#### Question # 48

**Successful Six Sigma projects always:**

A. use designed experiments

B. impact the bottom line of the enterprise

C. are completed in a short time frame

D. all of the above E. none of the above

#### Question # 49

**The word “champion” in the context of Six Sigma projects refers to: **

A. the team that has had the most impact on the bottom line.

B. the person who has coordinated teams most effectively

C. the individual who has outpaced all others in six sigma knowledge

D. none of the above

#### Question # 50

**“Robust design” refers to the ability of the product or service:**

A. to function the same in different conditions

B. to remain strong

C. to last a long time

D. to have a high reliability

#### Question # 51

**Samples of size n=36 are randomly selected from a population with mean = 125 and
variance 12. Find the variance of the distribution of sample means. **

A. .333

B. .577

C. 2

D. 3.464

E. 12

#### Question # 52

**A team wants a technique for obtaining a large number of possible reasons for excess
variation in a dimension. They should use: **

A. written and diagrammed work instructions

B. flow charts and process maps

C. cause and effect diagrams

D. Pareto chart

E. relationship matrix

#### Question # 53

**An x-bar and R chart has four part measurements per sample The control limits on the
averages chart are 2.996 and 3.256. Assume the process data form a normal distribution.
What is the probability that the next part measurement falls outside the control limits?**

A. 0.00135

B. 0.0027

C. 0.0681

D. 0.1362

E. 0.2724

F. none of the above

#### Question # 54

**Find the value of (9) in the ANOVA table. Assume
**

A. 16.4

B. 3.2

C. 18.6

D. 23.2

E. 4.54

F. 12.2

G. 0.525

H. 2.82

I. 1.48

#### Question # 55

**Dr. Joseph M. Juran:**

A. lectured in Japan after World War II

B. was an author of several books in the US

C. lectured widely in the US

D. is considered an expert is the quality field

E. all of the above

F. none of the above

#### Question # 56

**The null hypothsis should be:**

A. rejected

B. not rejected

C. accepted

#### Question # 57

**A higher resolution number for an experimental design indicates that: **

A. results are more clear

B. confounding between main effects and interaction effects are less likely to be significant

C. a higher number of replications have been used

D. all factors have been tested at all levels

E. the design is more balanced

#### Question # 58

**A newspaper article describes a high positive correlation between obesity and orange juice
consumption among six-year-olds. Parents who restrict the use of orange juice for their
children have:**

A. made a type I error

B. made a type II error

C. misunderstood margin of error

D. confused correlation with causation

#### Question # 59

**A team studies a coil steel banding process and makes five changes resulting in
productivity improvements of 2%, 2.8%, 2.4%, 2% and 3% respectively. These
improvements are best described by which approach to problem solving? **

A. 5S

B. Poka yoke

C. Kaizen

D. PDCA

E. Re-engineering

#### Question # 60

**A set of data from a process has 8 readings per sample and 50 samples. The mean of the
50 sample means is 12.62. The mean of the 50 ranges is 0.18.A customer requires that
SPC charts be done on their forms which have spaces for only 5 readings per sample.
What should be the UCL and LCL for tbe new averages chart?**

A. 12.53 and 12.71

B. 12.58 and 12.66

C. 11.61 and 13.63

D. none of the above

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