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CSSBB Certified Six Sigma Black Belt Question and Answers

Question # 4

To properly analyze the variables impacting the output of a process we need to collect data that represents at least 80% of the variation in the process and assure ourselves we are collecting data from all three types of variation which are _______________.

A.

Within, Between and Temporal

B.

Within, Between and Temporary

C.

Without, Above and Below

D.

Induced, Natural and Unavoidable

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Question # 5

For a Normal Distribution as samples size increases the Range in Mean and Standard Deviation decrease relative to the Mean and Standard Deviation of the population.

A.

True

B.

False

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Question # 6

If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement(s) are correct? (Note: There are 3 correct answers).

A.

The Main Effects for the 5 factors are not aliased or confounded but the 2-way interactions are confounded with the 3-way interactions

B.

The Main Effects are confounded with only 4-way interactions

C.

The Experimental Design is half-fractional

D.

The experiment has 8 experimental runs with the first factor at the high level

E.

The experiment has only 4 experimental runs with the 5th factor at the high level

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Question # 7

Early in a project a Belt will want to begin to identify and evaluate risk factors for the subject process and will therefore begin building a(n) ________.

A.

FMEA

B.

SIPOC

C.

X-Y Diagram

D.

Team Charter

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Question # 8

A ___________ problem in the Measurement System suggests that there is a lack of consistency in the measurement over time.

A.

Linearity

B.

Bias

C.

Stability

D.

Magnitude

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Question # 9

Use this data to calculate the Z Score. Average of: 92, Standard Deviation: 2, Upper Spec Limit: 101

A.

0.75

B.

1.5

C.

2.25

D.

4.50

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Question # 10

When a Belt creates a Process Map she will use a __________________ to depict a decision point requiring a Yes or No decision.

A.

Circle

B.

Square

C.

Diamond

D.

Rectangle

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Question # 11

Using this data calculate the percentage of DPU.

Data: 763 defects, 18,000 units.

A.

2.12

B.

3.42

C.

4.24

D.

5.72

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Question # 12

The relationship between a response variable and one or more independent variables is investigated and modeled by use of which of these?

A.

X-Y Matrix

B.

Baldridge Assessment

C.

Critical X's Definition

D.

Analysis of Variance (ANOVA)

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Question # 13

The _______ is the most frequently occurring value in a distribution of data.

A.

Median

B.

Mean

C.

Center Point

D.

Mode

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Question # 14

Which of these items contribute to what is necessary for successful Kaizen events?

A.

Analysis tools

B.

Management support

C.

Operator support

D.

All of these answers are correct

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Question # 15

Sally and Sara sell flower pots at their garage sale. Sally motivates Sara mentioning that they will sell a minimum of 15 pots per day if the outside temperature exceeds 60o F. From a sample, whose population is assumed to follow a Normal Distribution, taken for 30 days at 60 degrees or more an average of 13.6 pots per day were sold with a Standard Deviation of 0.7 pots. The statistical Degrees of Freedom for this example are?

A.

1

B.

29

C.

30

D.

31

E.

2

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Question # 16

The _____________ Distribution would be the most desirable for modeling the number of stitch defects in a portion of fabric.

A.

Exponential

B.

Extended

C.

Poisson

D.

Weibull

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Question # 17

An operator is measuring the distance between two points. Which is most likely to be influenced by the operator?

A.

Precision of the measurement

B.

Accuracy of the measurement

C.

Calibration of the instrument

D.

All of these answers are correct

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Question # 18

From the variance F-test shown above, which of these conclusions is/are valid?

A.

The variance between the class score distribution is not significantly different

B.

This test applies only to Normal Distributed data at 99 % confidence

C.

The variance between the class score distribution is significantly different

D.

There are not enough data points to make any statistical conclusions

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Question # 19

From this list select the items that define what an X-Y Diagram is. (Note: There are 4 correct answers).

A.

Created for every project

B.

Based on team's collective opinions

C.

Updated whenever a parameter is changed

D.

Used to show each step in a process

E.

A living document throughout project lifecycle

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Question # 20

Which statement(s) are incorrect about Fractional Factorial Designs?

A.

A Half Fractional Design for 5 factors has the same number of experimental runs as a Full Factorial Design for 4 factors assuming no repeats or replicates or Center Points

B.

Quarter Fractional experiments can exist for those with 4 factors

C.

Resolution V design is desired while controlling costs of experimentation

D.

Half Fractional experiments do not exist for those designs with only 2 factors

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Question # 21

Choose those characteristics of a Simple Linear Regression (SLR) Analysis that are applicable. (Note: There are 3 correct answers).

A.

The Correlation Coefficient is always greater than the Regression Coefficient in a SLR

B.

General Regression Analysis deals only with Continuous Data

C.

Non-linear Regressions can explain curvature when with more statistical confidence than Linear Regressions

D.

SLR can help quantify the significance of variation in X that influences the variation in Y via a mathematical equation

E.

A Correlation does not explain causation but a Regression Analysis with a statistically valid mathematical equation does explain causation

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Question # 22

Much of the Six Sigma methodology is used to identify and remove causes for _____________ .

A.

Process Variation

B.

Material Costs

C.

Excess Inventory

D.

Lost Sales

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Question # 23

Which Experimental Design typically is most associated with the fewest number of input variables or factors in the design?

A.

Fractional Factorial design

B.

Full Factorial design

C.

Simple Linear Regression

D.

Response Surface Design

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Question # 24

The reported Cpk for a process with an average of 98 units, a spread of 16 units and upper and lower specification limits of 115 and 90 units would be?

A.

0.5

B.

0.75

C.

1.00

D.

1.25

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Question # 25

Which statement is NOT correct about the Fitted Line Plot shown here?

A.

The independent variable is the reactant

B.

If the reactant was 6 units, with 95 % confidence we would expect a minimum yield of 100 units

C.

With at least 95% confidence, we can expect less than 10 units of Yield when the reactant is at a value of 1

D.

A reactant value between 2 and 4 units yields around 20 to 40

E.

When the reactant increases, the expected yield would increase

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Question # 26

Fractional Factorial, ____________and Response Surface Method are types of planned experiments.

A.

Multi-Vari Analysis

B.

Baldridge Channels

C.

One Factor at a Time or OFAT

D.

Factorial Design

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Question # 27

What is the Ppk of a process with a spread of 24 units, an average of 68, an upper limit of 82 and a lower limit of 54?

A.

1.68

B.

2.00

C.

4.00

D.

4.42

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Question # 28

Which of these elements are not included in Implementation plans?

A.

Work breakdown structure

B.

Risk management plans

C.

Cost/Benefit ratios

D.

Planned audits of work completion

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Question # 29

Kanban establishes a means of monitoring production, conveyance and delivery information such that efficient flow is established. The method used by Kanban is to require a _________ before anything moves.

A.

Sign-off

B.

Signal

C.

Bell to ring

D.

Work order

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Question # 30

One of the primary deliverables from performing a SIPOC is to begin to understand which outputs have the greatest affect on the customer most valued inputs.

A.

True

B.

False

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Question # 31

The Mann-Whitney test is a powerful test and is unique to situations from which of the choices listed? (Note: There are 2 correct answers).

A.

Testing the identity of two populations

B.

Focuses on equality of the Median of the two populations

C.

Less powerful than the traditional “t-test”

D.

More widely applicable than the traditional “t-test”

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Question # 32

One of the methods of testing a Measurement System is to have at least two people take multiple readings from the same instrument and of the same sample set to judge the Repeatability and Reproducibly. This approach is called a ______________ study.

A.

Correlation Analysis

B.

Gage R & R

C.

Bimodal

D.

Dual Attribute

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Question # 33

A fundamental rule is that both Standard Deviation and Variance can be added.

A.

True

B.

False

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Question # 34

Handling of warranty returns, process improvement team meetings and rework to meet customer expectations are all examples of business costs that are classified as ___________ .

A.

Nuisance

B.

Non-value Add

C.

Necessary

D.

Unavoidable

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Question # 35

From the variance F-test shown above, which of these conclusions is/are valid?

A.

The variance between the class score distribution is significantly different

B.

The variance between the class score distribution is not significantly different

C.

This test applies only to Normal Distributed data at 99 % confidence

D.

This test applies only to Non-normal Data at 99 % confidence

E.

There are not enough data points to make any statistical conclusions

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Question # 36

A Non-parametric Test should be used if just one distribution is not Normal out of the two or more gathered.

A.

True

B.

False

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Question # 37

Data that can be measured on a continuum and has meaningful decimal subdivisions are __________ data.

A.

Continuous

B.

Surplus

C.

Discrete

D.

Variable

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Question # 38

The Lean toolbox includes all of the following items except __________.

A.

Poke-Yoke

B.

Standard Operating Procedures

C.

Kaizen

D.

5S the work area

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Question # 39

A Belt rearranged the location of the parts inventory for a rework station locating the most often used parts to be within hand reach of the repair person. This rearrangement resulted in quicker repair times by eliminating one of seven major elements of waste which is the Waste of __________.

A.

Motion

B.

Conveyance

C.

Inventory

D.

Waiting

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Question # 40

An ANOVA used across many dependent variables could increase the Beta risk.

A.

True

B.

False

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Question # 41

The Control Limits width varies if the sample size varies for which type of chart?

A.

P Charts

B.

NP Charts

C.

Xbar-R Charts

D.

Time Series Charts

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Question # 42

For the data shown here which statement(s) are true? (Note: There are 2 correct answers).

A.

With 95% confidence, we cannot conclude if the samples are from three Normal Distributions.

B.

With greater than 95% confidence, we conclude the samples are from Non-normal Distributions.

C.

If we wanted to compare the Central Tendencies of these three samples we would use the one way ANOVA test.

D.

If we wanted to compare the Central Tendencies of these three samples we could use Mood’s Median test.

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Question # 43

Which of these are examples of business metrics or Key Performance Indicators commonly referred to as KPI’s?

A.

Cycle Time

B.

Defects

C.

No. of Units Reworked

D.

Labor Hours

E.

All of these answers are correct

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Question # 44

All the data points that represent the total set of information of interest is called the ________________ .

A.

Population

B.

Sample

C.

Frame

D.

Spread

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Question # 45

A Belt working in a supply chain environment has to make a decision to change suppliers of critical raw materials for a new product upgrade. The purchasing manager is depending on the Belt’s effort requiring that the average cost of an internal critical raw material component be less than or equal to $4,200 in order to stay within budget. Using a sample of 35 first article components, a Mean of the new product upgrade price of $4,060, and a Standard Deviation of $98 was estimated. In order to increase the Long Term Z value to 4, what is the maximum long term variation in pricing the Belt can accept for his upgraded critical raw material component?

A.

$20

B.

$35

C.

$70

D.

$110

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