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  • Exam Name: Certified Six Sigma Black Belt
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CSSBB Practice Exam Questions with Answers Certified Six Sigma Black Belt Certification

Question # 6

The Central Limit Theorem says that as the sample size becomes large the sample Mean distribution will form a Normal Distribution, ____________________.

A.

If the Measurement System is properly calibrated

B.

When the data is collected accurately

C.

If the shape is evenly spread

D.

No matter what the shape of the population distribution of individuals

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Question # 7

In a Fishbone Diagram the 6M’s stand for Methods, Measurements, Machine, Man, Mother Nature and ____________ .

A.

Management

B.

Merger

C.

Materials

D.

Medical

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Question # 8

Relative to a Design of Experiments the term Collinear refers to variables being a ________________ of each other.

A.

Linear combination

B.

Directly parallel

C.

Mirror image

D.

None of the above

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Question # 9

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

A.

True

B.

False

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Question # 10

Which of these might contribute to similar distributions having Unequal Variance?

A.

Extreme tails

B.

Outliers

C.

Multiple Modes

D.

All of the above

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Question # 11

Upon completion and validation of an improvement to a process a Belt and the Project Team create a Control Plan that contains which of these?

A.

Standard operating work description of the process change

B.

Description of the monitoring system in place to assure continued compliance

C.

Summary of the targeted critical metrics for process performance measurement

D.

All of the above

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Question # 12

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 # 13

One of the foundations of Lean Six Sigma is the concept that the output of a process (Y) is influenced by the process inputs (X’s) and is commonly shown as which formula?

A.

Y = Z(X2)

B.

Y = f(X3)

C.

Y = f(Xn)

D.

Y = g(X+ 1.5)

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Question # 14

A valid mathematical Regression represents all of the characteristics shown except ___________________________.

A.

The residuals when plotted follow a Normal Distribution

B.

The sum of the residuals is zero

C.

All of the standardized residuals will be within ±3 Standard Deviations

D.

Most standardized residuals are within ±2 Standard Deviations

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Question # 15

Contingency Tables are used to test for association, or dependency, between two or more classifications.

A.

True

B.

False

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Question # 16

The two types of data that can be used in Statistical Analysis are Attribute and Variable.

A.

True

B.

False

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Question # 17

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. For the sales accomplished above, what test would validate if they met their requirements?

A.

F Test

B.

Test for Equal Variance

C.

Chi Square Test

D.

One-Sample t-Test

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Question # 18

The distance between the Mean of a data set and the Point of Inflection on a Normal curve is called the _______________.

A.

Curve Spread

B.

Standard Deviation

C.

Numerical Average

D.

Data Breadth

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Question # 19

What aspects of Measurement Systems Analysis (MSA) studies are applicable when the process used to measure does not damage the part?

A.

Destructive variable gage R&R and Crossed Study

B.

Destructive variable gage R&R and Nested Study

C.

Nondestructive variable gage R&R and Crossed Study

D.

Nondestructive variable gage R&R and Nested Study

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Question # 20

Sally and Sara sell flower pots at their garage sale. Martha motivates Rose mentioning that they will sell a minimum of 16 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 15.2 pots per day were sold with a Standard Deviation of 0.6 pots. What is the Z value for this sales process?

A.

0.67

B.

1.13

C.

1.33

D.

2.66

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Question # 21

The most appropriate type of FMEA for a product before going into manufacturing is a ___________ FMEA.

A.

Design

B.

Consumer

C.

Survey

D.

Test Process

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Question # 22

For her injection molding project a Belt needed to track the percentage of defectives of a particular sample set so she used a ___________ to display the data?

A.

Individual Chart

B.

C Chart

C.

Xbar Chart

D.

P Chart

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Question # 23

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 # 24

If the results from a Hypothesis Test are located in the "Region of Doubt" area, what can be concluded?

A.

Rejection of the Alpha

B.

We fail to reject the Null Hypothesis

C.

The test was conducted improperly

D.

We reject the Null Hypothesis

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Question # 25

Following process modifications, the Null Hypothesis states that no improvement to the process has occurred. If we discover the Null Hypothesis Test was rejected when it was false that would be a(n) ________________________.

A.

Alpha Error

B.

Type I Error

C.

Type II Error

D.

Type III Error

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Question # 26

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 # 27

Which statement is most correct for the Regression Analysis shown here?

CSSBB question answer

A.

The Regression explains 50.8% of the process variation

B.

The air-fuel ratio explains most of the TurbineOutput variation

C.

This Simple Linear Regression explains 98+% of the process variation

D.

This Multiple Linear Regression has four statistically significant independent variables

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Question # 28

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 # 29

Following the completion of a LSS project the Belt not only creates a Control Plan he also develops a _____________ so those involved in the process know what to do when the critical metrics move out of spec.

A.

Response Plan

B.

Call List

C.

Chain-of-Command

D.

Defect Analysis Plan

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Question # 30

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 # 31

When a Belt implements an improvement that is automated thus requiring no particular understanding for use he has applied which Lean tool?

A.

Mistake Proofing

B.

Kaizen Event

C.

5S

D.

None

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Question # 32

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 # 33

Which statement(s) are correct about the Pareto Chart shown here for the DOE analysis? (Note: There are 2 correct answers).

CSSBB question answer

A.

It is unknown from this graph how many factors were in the Experimental Design

B.

The factors to keep in the mathematical model are E, D, DE, BD and B with an alpha risk equal to 2.06

C.

The effects to keep in the mathematical model are E, D, DE, BD and B with an alpha risk equal to 0.05

D.

The factors to keep in the mathematical model with a 5% alpha risk are BE, AB, A and AD

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Question # 34

The English words used for the 5S’s are Sorting, Straightening, _____________ , __________ and Sustaining. (Note: There are 2 correct answers).

A.

Shaping

B.

Shining

C.

Standardizing

D.

Signing

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Question # 35

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 # 36

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 # 37

Which statement(s) are most correct for the Regression Analysis shown here?

CSSBB question answer

A.

The Regression explains 50.8% of the process variation

B.

The air-fuel ratio explains most of the TurbineOutput variation

C.

This Simple Linear Regression explains 98+% of the process variation

D.

This Multiple Linear Regression has four statistically significant independent variables

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Question # 38

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. Select the answer that best states the Practical Problem.

A.

If the average cost per component is $4,200 or less, then the purchase manager will introduce the new product upgrade with new components.

B.

If the average cost per component is greater than $4,200, then the purchase manager will introduce the new product upgrade with new components.

C.

Only if the average cost per product upgrade is $4,060, will the purchase manager introduce new product upgrades with new components.

D.

If the average cost per new product upgrade is less than $180, then the purchase manager will introduce the new product upgrade with new components.

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Question # 39

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 # 40

An operator checks that all boxes being packed contain enough products to fill the box. However, each box getting filled has a different number of products in it. This is a Reproducibility problem, not a Repeatability problem.

A.

True

B.

False

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Question # 41

With Measurement System Analysis we are concerned with two issues that impact the potential variability of the data. They are ____________ and Accuracy.

A.

Spread

B.

Reliability

C.

Precision

D.

Deflection

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Question # 42

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 # 43

If you can Poka-Yoke a defect out of the process entirely then you do not need use SPC on the characteristic of interest in the defect.

A.

True

B.

False

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Question # 44

If the production is for higher volume and monitoring and the Mean and variability is to be monitored for four machines producing product and the characteristic to be monitored is Variable Data, which SPC Chart is best to be selected?

A.

Xbar-R Chart

B.

Individual-MR Chart

C.

NP Chart

D.

CUSUM Chart

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Question # 45

Those people who have a interest in the outputs of a process are known as _____________________.

A.

Stakeholders

B.

Senior management

C.

Co-workers

D.

Process owners

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