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Total 227 questions

Six Sigma Black Belt Certification Questions and Answers

Question 1

The validity of the decision made with Hypothesis Testing is dependent upon all of these except ___________________.

Options:

A.

Beta risk

B.

Alpha risk

C.

Range of data

D.

Sample size

Question 2

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

Question 3

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.

Question 4

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

Question 5

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

Options:

A.

True

B.

False

Question 6

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

Options:

A.

Shaping

B.

Shining

C.

Standardizing

D.

Signing

Question 7

Common and Special Cause ______________ are the focus of Statistical Process Control.

Options:

A.

Prediction

B.

Ideation

C.

Capability

D.

Variation

Question 8

“A calculated time frame that matches customer demand” is a definition of what Lean Principles term?

Options:

A.

Value Stream

B.

Kaizen event

C.

Takt time

D.

Kanban

Question 9

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

Question 10

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

E.

If we wanted to compare the Central Tendencies of all three samples we could use the Mann-Whitney test

Question 11

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

Options:

A.

True

B.

False

Question 12

Which statement(s) are 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

Question 13

Appropriate measures means that measurements are ______________.

Options:

A.

Representative

B.

Sufficient

C.

Contextual

D.

Relevant

E.

All of these answers are correct

Question 14

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

Question 15

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

Options:

A.

Color

B.

Expense

C.

Season

D.

None

Question 16

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

Options:

A.

Changeover instructions incomplete

B.

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

C.

Machines continually operating to reduce the labor cost per piece

D.

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

Question 17

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”

Question 18

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?

Options:

A.

Xbar-R Chart

B.

Individual-MR Chart

C.

NP Chart

D.

CUSUM Chart

Question 19

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?

Options:

A.

1

B.

29

C.

30

D.

31

E.

2

Question 20

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

Question 21

Screening experiments are the proper choice when a Belt is faced with the situation of highly Fractional Factorial Designs.

Options:

A.

True

B.

False

Question 22

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

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

Question 23

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

Question 24

A ___________ is used primarily to track the stability of the average value of a metric of interest.

Options:

A.

NP Chart

B.

Xbar-R Chart

C.

I-MR Chart

D.

C Chart

Question 25

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

Question 26

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

Question 27

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)

Question 28

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

Question 29

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

Options:

A.

True

B.

False

Question 30

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

Question 31

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

Question 32

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

Question 33

Kaizens or Kaikakus and Six Sigma projects are intended to create incremental process improvements versus breakthrough, significant improvements.

Options:

A.

True

B.

False

Question 34

When a Belt properly analyzes the results of an experiment he must examine the Residuals in expectation of finding all of the following except _________.

Options:

A.

Some Residuals higher than others

B.

Residuals will represent a Linear Regression

C.

All Residuals within 2 Standard Deviations of the Mean

D.

Some Residuals lower than others

Question 35

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

Options:

A.

X-Y Matrix

B.

Baldridge Assessment

C.

Critical X's Definition

D.

Analysis of Variance (ANOVA)

Question 36

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

Question 37

Measurement __________ is defined as the difference between the observed and the expected values for a given set of data.

Options:

A.

Breadth

B.

Linearity

C.

Range

D.

Bias

Question 38

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

Question 39

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. The Alternative Hypothesis in the above example is?

Options:

A.

The Standard Deviation is equal to $300

B.

The Mean is less than $4,320

C.

The Mean is equal to $4,060

D.

The Mean is less than $4,200

E.

The Mean is greater than $ 4,200

Question 40

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

Question 41

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.

Options:

A.

True

B.

False

Question 42

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

Options:

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

Question 43

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

Options:

A.

True

B.

False

Question 44

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

Question 45

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?

Options:

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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Total 227 questions