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CSSBB Six Sigma Black Belt Certification Questions and Answers

Questions 4

The validity of the decision made with Hypothesis Testing is dependent upon all of the following except ______________________.

Options:

A.

Beta risk

B.

Range of data

C.

Alpha risk

D.

Sample size

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Questions 5

Control Charts were developed by Dr. Shewhart to track data over time. To detect Special Cause variation the Control Charts use which of these?

Options:

A.

Data shift analysis

B.

Outlier analysis methods

C.

Center Line and Control Limits

D.

None of the above

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Questions 6

Which statement(s) are correct about the Regression shown here? (Note: There are 2 correct answers).

CSSBB Question 6

Options:

A.

The dependent variable is the outside temperature

B.

The relationship between outside temperature and number of customers per hour is a Linear Regression

C.

The dashed lines indicate with 95% confidence where all of the process data should fall between

D.

The dashed lines indicate with 95% confidence the estimate for the Quadratic Regression Line

E.

The predicted number of customers per hour is close to 5 if the outside temperature is 10 deg C

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Questions 7

Which statements are correct about the advanced Capability Analysis shown here? (Note: There are 3 correct answers).

CSSBB Question 7

Options:

A.

This is a Poisson Capability Analysis

B.

The average DPU with 95% confidence is between 0.024 and 0.0295

C.

The DPU does not seem to vary depending on sample size

D.

The process shows only one instance of being out of control statistically so we have confidence in the estimated DPU of this process

E.

The maximum DPU in one observation was nearly 0.0753

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Questions 8

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

Options:

A.

Measurements

B.

Merger

C.

Management

D.

Medical

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Questions 9

Using this partial Z Table, how many units from a month’s production run are expected to not satisfy customer requirements for the following process?

Upper specification limit: 8.4 Lower specification limit: 4.7 Mean of the process: 6.2 Standard Deviation: 2.2 Monthly production: 360 units

Options:

A.

8

B.

13

C.

28

D.

57

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Questions 10

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

Options:

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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Questions 11

In a good Measurement System the most variation will be with part-to-part measurements. What should you do if the majority of variation is associated with the Gage R&R assuming the gage is technically capable?

Options:

A.

Focus on fixing the Repeatability and Reproducibility of the measurement device

B.

Purchase a new machine

C.

Focus on trimming the Part-to-Part variation

D.

Run another MSA test with the machine

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Questions 12

The Hardware Store ordered ten lawn mower from the manufacturer and just before shipping the manufacturer found one to have a motor that wouldn’t start. For the manufacturer this would be categorized as what type of cost?

Options:

A.

Internal Failure Costs

B.

External Failure Costs

C.

Prevention Costs

D.

Appraisal Costs

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Questions 13

Sally and Sara sell flower pots at their garage sale. Sally motivates Sara mentioning that they will sell a minimum of 22 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 18.2 pots per day were sold with a Standard Deviation of 0.9 pots. What is the Z value for this sales process?

Options:

A.

1.23

B.

1.62

C.

2.11

D.

4.22

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Questions 14

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

Options:

A.

Extreme tails

B.

Outliers

C.

Multiple Modes

D.

All of the above

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Questions 15

When we gather information for the Voice of the Business we are primarily interested in information concerning the _____________ of the business.

Options:

A.

Advertising budget

B.

Market share

C.

Profitability

D.

Ownership

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Questions 16

During the ______________ phase of 5S is when we might implement a Red Tag program.

Options:

A.

Straightening

B.

Standardizing

C.

Shining

D.

Sorting

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Questions 17

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

Options:

A.

Cycle Time

B.

Defects

C.

No. of Units Reworked

D.

Labor Hours

E.

All of these answers are correct

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Questions 18

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

Options:

A.

Shaping

B.

Sorting

C.

Shifting

D.

Straightening

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Questions 19

A(n) ________________ has occurred when two inputs have a greater impact on a change in the output than either of the inputs has by itself.

Options:

A.

Dependency

B.

Bimodal reaction

C.

Interaction

D.

Amplified effect

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Questions 20

Two of the key deliverables for the Measure Phase are a robust description of the process and its flow and an assessment of the Management System.

Options:

A.

True

B.

False

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Questions 21

Range Charts are the technique used to determine if ______________ are occurring within the subgroups of the SPC Charts.

Options:

A.

Common Causes

B.

Special inspections

C.

Unnatural forces

D.

Special Causes

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Questions 22

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

Options:

A.

Continuous

B.

Surplus

C.

Discrete

D.

Variable

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Questions 23

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) ________.

Options:

A.

FMEA

B.

SIPOC

C.

X-Y Diagram

D.

Team Charter

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Questions 24

Using this data calculate the percentage of DPU.

Data: 763 defects, 18,000 units.

Options:

A.

2.12

B.

3.42

C.

4.24

D.

5.72

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Questions 25

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

CSSBB Question 25

Options:

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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Questions 26

When a Belt decides to use written procedures and visual controls to improve the consistency of the tasks that must occur in the process he is improving he has utilized the _________________ activity of 5S.

Options:

A.

Sustaining

B.

Sorting

C.

Standardizing

D.

Straightening

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Questions 27

Assessing process proportion as opposed to evaluating a process with respect to a set target can be done using one or more of these. (Note: There are 2 correct answers).

Options:

A.

Process proportion equals some desired value

B.

Process proportion equals some value range

C.

Target is current

D.

When we deal with Attribute type data

E.

Proportion of the tail is equal

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Questions 28

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.

Options:

A.

Sign-off

B.

Signal

C.

Bell to ring

D.

Work order

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Questions 29

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) ________________________.

Options:

A.

Alpha Error

B.

Type I Error

C.

Type II Error

D.

Type III Error

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Questions 30

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

CSSBB Question 30

Options:

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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Questions 31

Which statement(s) are correct about the DOE Factorial plot output here? (Note: There are 3 correct answers).

CSSBB Question 31

Options:

A.

Two factors were operated at 3 levels each

B.

The highest tool age was achieved with metal hardness at high level while keeping the cutting speed at the low level

C.

The design indicated above is a 32 factorial design

D.

The cutting speed and cutting angle are at the low level for the least tool age achieved

E.

All factors had 2 levels in the experiment

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Questions 32

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).

Options:

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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Questions 33

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

CSSBB Question 33

Options:

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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Questions 34

A(n) ______________ is best used to compare a Machine 1 average quality characteristic to the same quality characteristic of Machine 2.

Options:

A.

F test

B.

1-Sample t-test

C.

2-Sample t-test

D.

ANOVA test

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Questions 35

What conclusion is most correct about the Experimental Design shown here with the response in the far right column?

CSSBB Question 35

Options:

A.

No factor has enough statistical confidence greater than 95% to have an impact on the response rate

B.

Constant, Adv and Bev are the only factors statistically affecting the response rate with 95% confidence or more

C.

If the Adv is increased from the low level to the high level, the response rate increases

D.

The response level is statistically concluded to only need the Adv and Bev factors set at the low level to get the largest response rate

E.

This design does not have enough experimental runs to conclude anything as evidenced by the lack of P-values in the MINITABTM output

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Questions 36

The relationship between a response variable and one or more independent variables is investigated and modeled by use of __________________.

Options:

A.

X-Y Matrix

B.

Baldridge Assessment

C.

Analysis of Variance (ANOVA)

D.

Critical X's Definition

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Questions 37

Appropriate measures means that measurements are ______________.

Options:

A.

Representative

B.

Sufficient

C.

Contextual

D.

Relevant

E.

All of these answers are correct

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Questions 38

Special Cause Variation falls into which two categories? (Note: There are 2 correct answers).

Options:

A.

Natural

B.

Short term

C.

Assignable

D.

Pattern

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Questions 39

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

Options:

A.

0.75

B.

1.5

C.

2.25

D.

4.50

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Questions 40

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

CSSBB Question 40

Options:

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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Questions 41

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

Options:

A.

Mistake Proofing

B.

Kaizen Event

C.

5S

D.

None of the above

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Questions 42

For Attribute Data, Process Capability is defined as the average proportion of nonconforming products.

Options:

A.

True

B.

False

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Questions 43

Review the analysis shown here.

CSSBB Question 43

Which statements are true about the process? (Note: There are 3 correct answers).

Options:

A.

The initial focus for this project would be to determine why the thicknesses are so frequently too low.

B.

The majority of the process is closer to the lower specification limit.

C.

This process is described with the Weibull Distribution.

D.

The process has more problems with Variation than Centering.

E.

The process follows a non-normal distribution with the given data.

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Questions 44

The two types of data that are to be used in Statistical Analysis are Attribute and Variance.

Options:

A.

True

B.

False

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Questions 45

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?

Options:

A.

0.5

B.

0.75

C.

1.00

D.

1.25

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Exam Code: CSSBB
Exam Name: Six Sigma Black Belt Certification
Last Update: Apr 30, 2024
Questions: 227

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