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CSSBB Six Sigma Black Belt Certification Questions and Answers

Questions 4

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

Options:

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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Questions 5

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

Options:

A.

Nuisance

B.

Non-value Add

C.

Necessary

D.

Unavoidable

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Questions 6

When doing Hypothesis Testing on Non-normal data Belts will use a ________________ to compare more than two sample proportions to each other.

Options:

A.

Z score Table

B.

Sakami Table

C.

Mean-to-Mode Analysis

D.

Contingency Table

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Questions 7

Which statements are correct about the advanced Capability Analysis shown here?

(Note: There are 3 correct answers).

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

As a means of measuring the effects on other areas of a process as a result of changes in the primary metric we also define and track ________________.

Options:

A.

Parallel process metrics

B.

Secondary metrics

C.

Tertiary metrics

D.

Industry standards

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Questions 9

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

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 10

Accuracy can be assessed in several ways and a fairly accurate means of measurement is visual comparison.

Options:

A.

True

B.

False

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Questions 11

Which of the items listed do not define what an X-Y Diagram is?

Options:

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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Questions 12

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

Options:

A.

The air-fuel ratio explains most of the TurbineOutput variation

B.

The Regression explains over 98% of the process variation

C.

This Multiple Linear Regression has three statistically significant independent variables

D.

If the air-fuel ratio increases by 1, the TurbineOutput more than triples

E.

The SteamExitTemp explains the most variation of the TurbineOutput

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Questions 13

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: 7.2 Lower specification limit: 4.3 Mean of the process: 5.9 Standard Deviation: 0.65 Monthly production: 450 units

Options:

A.

3

B.

7

C.

10

D.

12

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Questions 14

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

Options:

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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Questions 15

When we compare short-term and long-term Capability which of these is true?

Options:

A.

Cp is better for the short term

B.

Both short-term and long-term performance are alike

C.

Performance tends to improve over time

D.

Cp is better for the long-term

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Questions 16

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

Options:

A.

Multi-Vari Analysis

B.

Baldridge Channels

C.

One Factor at a Time or OFAT

D.

Factorial Design

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Questions 17

Production Line 1 is able to complete 500 units per shift. Production Line 2 is able to finish 1,500 units per shift. Production Line 2 is 3 times faster than Production Line 1. This analysis is an example of ______________ Scale Data.

Options:

A.

Nominal

B.

Ratio

C.

Ordinal

D.

Interval

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Questions 18

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

Options:

A.

Population

B.

Sample

C.

Frame

D.

Spread

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Questions 19

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

Options:

A.

Nuisance

B.

Non-value Add

C.

Necessary

D.

Unavoidable

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Questions 20

The reported Cpk for a process with an average of 104 units, a spread of 18 units and upper and lower specification limits of 122 and 96 units would be?

Options:

A.

0.5

B.

0.89

C.

1.00

D.

2.00

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Questions 21

The class score distribution of schools in a metropolitan area is shown here along with an analysis output. Comment on the statistical significance between the Means of the two distributions. Select the most appropriate statement.

Options:

A.

The two class Means are statistically different from each other

B.

The two class Means statistically not different from each other

C.

Inadequate information on class Means to make any statistical conclusions

D.

A visual comparison shows that class Means are not statistically different

E.

A visual comparison shows that class Means are statistically different

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Questions 22

When a Belt Poka-Yoke’s a defect out of the process entirely then she should track the activity with a robust SPC system on the characteristic of interest in the defect as an early warning system.

Options:

A.

True

B.

False

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Questions 23

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

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 24

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

Options:

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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Questions 25

Customers make their decisions based on Features, Integrity (of the seller) Delivery and ___________?

Options:

A.

Color

B.

Expense

C.

Season

D.

None

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Questions 26

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

Options:

A.

Population

B.

Sample

C.

Frame

D.

Spread

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Questions 27

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

Options:

A.

Mirror Image

B.

Directly Parallel

C.

Collinear

D.

None of the above

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Questions 28

The Waste of Overproduction is defined as ______________________.

Options:

A.

The unnecessary movement of people and equipment

B.

The liability of materials that are bought, invested in and not immediately sold or used

C.

Producing more than the next step needs or more than the customer buys

D.

The extra movement of material

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Questions 29

It would be more likely than not for a Belt conducting a Regression Analysis to find that the _______________________.

Options:

A.

r2 value is smaller than the absolute value of r

B.

Correlation Coefficient equals r2

C.

Coefficient of Determination is less than r2

D.

Correlation Coefficient equals r divided by 2

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Questions 30

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

Options:

A.

Fractional Factorial design

B.

Full Factorial design

C.

Simple Linear Regression

D.

Response Surface Design

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Questions 31

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

Options:

A.

True

B.

False

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Questions 32

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 33

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

Options:

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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Questions 34

Which statement(s) are correct about the Factorial Plot shown here? (Note: There are 3 correct answers).

Options:

A.

When the cutting speed increased from low to high level, the tool age increases

B.

The coefficient of the metal hardness is positively related to the output of tool age

C.

The coded coefficient is lower for cutting speed than the cutting angle related to the output of tool age

D.

These plots prove a statistically significance factor with 95% confidence

E.

These plots are an example of interaction plots

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Questions 35

Use this data to calculate the Z score. Average oF. 65, Standard Deviation: 3, Upper Spec Limit: 72

Options:

A.

0.27

B.

1.5

C.

2.33

D.

4.12

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Questions 36

Production Line 1 is able to complete 500 units per shift. Production Line 2 is able to finish 1,500 units per shift. Production Line 2 is 3 times faster than Production Line 1. This analysis is an example of ______________ Scale Data.

Options:

A.

Nominal

B.

Ratio

C.

Ordinal

D.

Interval

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Questions 37

What dollar amount of savings would a project show if it reduced your outstanding Accounts Receivable by $1.4 million dollars to $5.3 million total and your organization’s marginal cost of capital was 6.2%?

Options:

A.

$43,400

B.

$86,800

C.

$117,500

D.

$328,600

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Questions 38

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?

Options:

A.

Y = Z(X2)

B.

Y = f(X3)

C.

Y = f(Xn)

D.

Y = g(X+ 1.5)

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Questions 39

Situations where standardized work needs to be incorporated include all of these except _____________________.

Options:

A.

Machines continually operating to reduce the labor cost per piece

B.

Lack of a system to assure proper inventory levels at repair stations

C.

Changeover instructions incomplete

D.

Process flow for the same product assembly taking various cycle time for completion

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Questions 40

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.

Type I Error

B.

Type II Error

C.

Type III Error

D.

Alpha Error

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Questions 41

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?

Options:

A.

Individual Chart

B.

C Chart

C.

Xbar Chart

D.

P Chart

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Questions 42

Calculate the Rolled Throughput Yield of this process using this data.

Data: unit input: 1215, unit output: 1180, defects repaired: 184, scrap: 42

Options:

A.

80.85%

B.

81.40%

C.

82.23%

D.

84.96%

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Questions 43

A statistical test or Hypothesis Test is performed to reject or fail to reject a stated hypothesis and it converts the Practical Problem into a Statistical Problem.

Options:

A.

True

B.

False

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Questions 44

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

Options:

A.

Linearity

B.

Bias

C.

Stability

D.

Magnitude

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Questions 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. Select the answer that best states the Practical Problem.

Options:

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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Exam Code: CSSBB
Exam Name: Six Sigma Black Belt Certification
Last Update: May 3, 2024
Questions: 227
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