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Total 227 questions

Certified Lean Six Sigma Black Belt (CLSSBB) Questions and Answers

Question 1

Find the value of (13) in the ANOVA table. Assume:

Options:

A.

16.4

B.

3.2

C.

18.6

D.

23.2

E.

4.54

F.

12.2

G.

0.525

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Question 2

The formula for reliability during constant failure rate conditions is: Use this formula to find the reliability of a product at 800 hours if MTBF = 600 hours.

Options:

A.

0.87

B.

0.78

C.

0.37

D.

0.26

E.

none of the above

Question 3

Which of the following most influences consumer perception of quality?

Options:

A.

Industry standards

B.

Company financial performance

C.

Audit results

D.

Service and repair policies

Question 4

What is the standard deviation of a process that operates to an exponential distribution with a mean of 25 units?

Options:

A.

0.4

B.

5.0

C.

12.5

D.

25.0

Question 5

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

Options:

A.

B.

C.

D.

none of the above

Question 6

A Black Belt is going to monitor the number of defects on different size samples. Which of the following control charts would be most appropriate?

Options:

A.

u

B.

np

C.

c

D.

p

Question 7

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

Options:

A.

x-bar and R

B.

median

C.

individual and moving range

D.

p

E.

np

F.

u

G.

c

Question 8

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.

Options:

A.

none and 13.5

B.

12.6 and 25.2

C.

none and 25.2

D.

none of the above

Question 9

What kind of Graph would help us to analyze stability of non-parametric distribution of data points?

Options:

A.

P Chart

B.

I-mR Chart

C.

C Chart

D.

Box Plot

Question 10

The mean of a Poisson distribution is 2.94. Its variance is:

Options:

A.

Not enough information is given

B.

1.71

C.

8.64

D.

74.7

E.

1.31

Question 11

In measurement system analysis, which of the following pairs of data measures is used to determine total variance?

Options:

A.

Process variance and reproducibility

B.

Noise system and repeatability

C.

Measurement variance and process variance

D.

System variance and bias

Question 12

SMED is an acronym for activity that:

Options:

A.

involves housekeeping in the work area

B.

makes mistakes of a certain type impossible

C.

emphasizes the pull of the customer

D.

reduces set up time

E.

none of the above

F.

all of the above

Question 13

An observation above upper control limit is concluded as?

Options:

A.

Process special cause variation

B.

Process common cause variation

C.

Process performance

D.

No variation

Question 14

This QFD matrix was used in the design process for a ball point pen. What symbol is appropriate for the square labeled 1?

Options:

A.

B.

C.

D.

none of the above

Question 15

All of the following experimental designs could be used to investigate interactions EXCEPT

Options:

A.

half-fraction

B.

half-fraction with replication

C.

full-factorial with replication

D.

saturated screening with replication

Question 16

Ratio and Interval Scale of measurements are based on ______________type of data.

Options:

A.

Discrete & Attribute

B.

Discrete & Continuous

C.

Variable & Continuous

D.

Continuous & Attribute

Question 17

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

Options:

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 18

What is the value of the test statistic?

Options:

A.

0.898

B.

1.251

C.

0.429

D.

3.57

E.

none of the above

Question 19

A process can be defined as a repetitive and systematic series of steps or activities where inputs are modified or assembled to achieve a _______________ result.

Options:

A.

Revenue total

B.

Customer desired

C.

Budgeted

D.

Financial

Question 20

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

Options:

A.

B.

C.

D.

none of the above

Question 21

Which of the following tools should be used when a team is generating and prioritizing a list of options that include highly controversial issues?

Options:

A.

Brainstorming

B.

Affinity diagrams

C.

Nominal group technique

D.

5 whys

Question 22

When Tricia empties a box of capacitors she places it at a designated spot on her work table. Sam notices the empty box and brings a full box of capacitors from the stock room. This is an example of:

Options:

A.

visual factory

B.

kanban

C.

poka-yoke

D.

standard work

E.

set up time reduction (SMED)

Question 23

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

Options:

A.

B.

C.

D.

none of the above

Question 24

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

Options:

A.

B.

C.

D.

none of the above

Question 25

Which of the following statements is true about the theory of constraints?

Options:

A.

It views a system in terms of discrete processes.

B.

Most constraints are physical.

C.

Most constraints are the result of policies.

D.

It focuses on continuous improvement.

Question 26

An x-bar control chart has been established with control limits of 3.245 and 3.257, n = 5. An engineer collects the following sample and plots the average on the control chart: 3.257, 3,256, 3. 258, 3.259.

Options:

A.

the process is out of control

B.

the process is not out of control

C.

the engineer misused the control chart

D.

the control limits are incorrect

Question 27

The distribution is:

Options:

A.

symmetric

B.

left skewed

C.

right skewed

D.

normal

E.

uniform

Question 28

Find Cp and Cpk.

Options:

A.

1.21 and .85

B.

.85 and 1.21

C.

.35 and .63

D.

.63 and .42

E.

none of the above

Question 29

The principle disadvantage of fractional factorial experiments is that:

Options:

A.

experimental error is high

B.

robustness is compromised

C.

effects are confounded

D.

measurements are less precise

E.

analysis is more difficult

Question 30

(Refer to the previous problem) The variance of the five replications for each run is calculated. Most of these variances are approximately equal but two are significantly lower than the others. The experimenters would be especially interested in those two runs if they want to optimize:

Options:

A.

dissolution time

B.

interactions

C.

main effects

D.

robustness

E.

degrees of freedom

Question 31

In a series of linked processes and associated feedback loops the product or service flows ________ and the information flows ________.

Options:

A.

rapidly, slower

B.

downstream, upstream

C.

evenly, digitally

D.

sooner, later

E.

to the customer, from the supplier

F.

none of the above

Question 32

A team has been asked to reduce the cycle time for a process. The team decides to collect baseline data. It will do this by:

Options:

A.

seeking ideas for improvement from all stakeholders

B.

researching cycle times for similar processes within the organization

C.

obtaining accurate cycle times for the process as it currently runs

D.

benchmarking similar processes outside the organization

Question 33

In a resolution III fractional factorial experimental design, main effects are confounded with:

Options:

A.

one factor interactions

B.

two factor and higher interactions

C.

three factor and higher interactions

D.

no other effects

Question 34

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

Options:

A.

written and diagrammed work instructions

B.

flow charts and process maps

C.

cause and effect diagrams

D.

Pareto chart

E.

relationship matrix

Question 35

The primary metric for a project is reduced cost for process A. Baseline data might include:

Options:

A.

current maintenance costs

B.

current selling price for the products or services output by process A

C.

current suggestions from stakeholders of process A

D.

all the above

E.

none of the above

Question 36

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:

Options:

A.

5.77

B.

2.40

C.

1.05

D.

0.44

E.

0.19

Question 37

The following data were collected on the diameters of turned shafts: 2.506 2.508 2.505 2.505. These values are:

I. Attribute data

II. Discrete data

III. Variables data

IV. Continuous data

Options:

A.

I and II A stable, normally distributed process with specification 3.50 .03 has = = .016. What percent of the production violates specification?

B.

I only

C.

II only

D.

I and IV

E.

III and IV

Question 38

A random sample of 2500 printed brochures is found to have a total of three ink splotches. The rate of ink splotches in PPM is:

Options:

A.

1,000,000 ÷ 2500 × 3

B.

2500 ÷ 1,000,000 × 3

C.

3 ÷ 2500 × 1,000,000

D.

3 × 2500 ÷ 1,000,000

Question 39

A ____ from a sample is used to estimate a population _____. The two words that best fill these blanks are:

Options:

A.

item, value

B.

value, statistic

C.

statistic, parameter

D.

parameter, value

E.

parameter, statistic

Question 40

After a team has engaged in diversion activities they may need to employ a tool for conversion. Examples of such a tool are:

I. nominal group technique

II. Multivoting

III. cause and effect diagram

IV. activity network diagram

V. matrix diagrams

Options:

A.

III and IV

B.

IV and V

C.

II and III

D.

I and II

Question 41

An engineer wants to try two hardening ovens to see whether they have different hardness scores. She cuts 8 pieces of bar stock in half, putting half of each in oven A and the other half in oven B. The following data are collected:

Do the data indicate that the ovens have different average scores? Assume differences are normally distributed.

Options:

A.

yes

B.

no

Question 42

Is it safe to assume that the interaction effects are negligible?

Options:

A.

yes

B.

no

C.

probably

Question 43

There are 14 different defects that can occur on a completed time card. The payroll department collects 328 cards and finds a total of 87 defects. DPU =

Options:

A.

87 ÷ 328

B.

87 ÷ (328 × 14)

C.

14 ÷ 87

D.

87 ÷ 14

E.

328 ÷ 87

F.

87 × 1,000,000 ÷ (14 × 328)

Question 44

A medicine with efficacy of .52 is given to five patients. Find the approximate probability that at least one of the patients is cured. (Hint: Use the binomial formula.)

Options:

A.

.975

B.

.480

C.

.531

D.

.416

E.

none of the above

Question 45

The Central Limit Theorem states that the distribution of sample means approximates a normal distribution if:

Options:

A.

the population is normally distributed

B.

the sample is normally distributed

C.

the sample is randomly selected

D.

the sample size is sufficiently large

E.

the means are carefully calculated

Question 46

A team wants a technique for displaying the connection between various customer needs and various features on a product. They should use:

Options:

A.

written and diagrammed work instructions

B.

flow charts and process maps

C.

cause and effect diagrams

D.

Pareto chart

E.

relationship matrix

Question 47

Customer segmentation refers to:

Options:

A.

dividing a particular customer into parts that are more easily understood

B.

grouping customers by one or more criteria

C.

maintaining secure customer listings to minimize communication among them

D.

eliminating or “cutting off” customers with poor credit history

Question 48

A random sample is selected from a population of measurements. The mean of the sample is not equal to the mean of the population. This is due to:

Options:

A.

Type I error

B.

Type II error

C.

sampling error

D.

the population is not normal

E.

measurements were not exact

Question 49

A stable, normally distributed process with specification 3.50 .03 has = 3.51 and = .016. What percent of the production violates specification?

Options:

A.

16.43%

B.

12.62%

C.

18.58%

D.

11.18%

Question 50

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?

Options:

A.

5S

B.

Poka yoke

C.

Kaizen

D.

PDCA

E.

Re-engineering

Question 51

The team in the above problem draws arrows from Post-It® notes that are causes to notes that are the effects of these causes. This step is best described by which approach to problem solving?

Options:

A.

Affinity diagram

B.

Inter-relationship digraph

C.

Tree diagram

D.

Process decision program chart

E.

Matrix diagram

F.

Prioritization matrix

G.

Activity network diagram

Question 52

SCENARIO

A Six Sigma team is measuring the moisture content of corn starch as it leaves the conveyer belt of a dryer. They collect one sample four cups of starch at times indicated in the chart at fixed locations labeled A, B, C, and D across the end of the belt. See the diagram below.

Find the equation of the regression line for these sample data points: (1, 7) (3, 3) ( 3, 2) (5, –1)

Options:

A.

y = 10.8 – 2.9x

B.

y = 12.9 + 5.2x

C.

y = 16 – 3.7x

D.

y = 8.75 – 2x

E.

y = 22.6 – 4.8x

Question 53

Find the value of (1) in the ANOVA table. Assume:

Options:

A.

16.4

B.

3.2

C.

18.6

D.

23.2

E.

4.54

F.

12.2

G.

0.525

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Total 227 questions