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

Question # 6

A valid Multiple Linear Regression (MLR) is characterized by all of these except?

A.

It is an assumption that the X’s (inputs) are not correlated to each other

B.

The X’s (inputs) are assumed to be independent of each other

C.

The Residuals from MLR analysis have to be Normally Distributed

D.

MLR is conducted based on a deliberate form of experimentation

E.

It is not possible to evaluate interactions in a MLR analysis

Full Access
Question # 7

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

Full Access
Question # 8

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

CSSBB question answer

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

Full Access
Question # 9

If in an experiment all possible variable pairs sum to zero the design is Orthogonal.

A.

True

B.

False

Full Access
Question # 10

Which of these graphical presentations displays the values of each individual reading?

A.

Histogram

B.

Box Plot

C.

Stem and Leaf Plot

D.

X-Y Diagram

Full Access
Question # 11

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%?

A.

$43,400

B.

$86,800

C.

$117,500

D.

$328,600

Full Access
Question # 12

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.

CSSBB question answer

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

Full Access
Question # 13

Which of these graphs demonstrates conditions which would be sufficient to enable OCAP for the process?    

A.

Xbar Chart

B.

Time Series Chart

C.

Neither

D.

Both

Full Access
Question # 14

When one speaks of 20% of something contributing 80% of the affect they are referring to what is known as the _________________.

A.

Shewhart Example

B.

Pareto Principle

C.

Balance Equation

D.

Connection Principle

Full Access
Question # 15

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

A.

True

B.

False

Full Access
Question # 16

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

Full Access
Question # 17

Assessing process proportion as opposed to evaluating a process with respect to a set target can be done using which of these?

A.

Process proportion equals some value range

B.

Process proportion equals some desired value

C.

Target is current

D.

Proportion of the tail is equal

Full Access
Question # 18

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

Full Access
Question # 19

When a Belt conducts a Linear Correlation Analysis and finds that as an X increases the Y also increase then he has proven a ______________ correlation.

A.

Negative

B.

Positive

C.

Monomial

D.

Single alignment

Full Access
Question # 20

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

Full Access
Question # 21

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

A.

True

B.

False

Full Access
Question # 22

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

A.

0.27

B.

1.5

C.

2.33

D.

4.12

Full Access
Question # 23

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

A.

Mirror Image

B.

Directly Parallel

C.

Collinear

D.

None of the above

Full Access
Question # 24

Of the various types of data shown which is NOT representative of Variable Data.

A.

Child’s height is 4 foot 3 inches

B.

Three employees wore hard hats

C.

Car burned 2.7 gallons of gasoline

D.

Train was going 140 kilometers per hour

Full Access
Question # 25

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

A.

Bias

B.

Linearity

C.

Range

D.

Breadth

Full Access
Question # 26

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

A.

Management

B.

Merger

C.

Materials

D.

Medical

Full Access
Question # 27

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

Full Access
Question # 28

Using this data calculate the percentage of DPU.

A.

2.74

B.

3.23

C.

4.56

D.

5.93

Full Access
Question # 29

A natural logarithmic base is not required for which of these distributions for probability calculations?

A.

Weibull

B.

Binomial

C.

Poisson

D.

Normal

Full Access
Question # 30

For a Kanban to be successful which of these must occur?

A.

Consistent cycle times

B.

Fairly stable process demand of product or service

C.

Low defect rate of incoming product or service

D.

All of the above

Full Access
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”

Full Access
Question # 32

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

Full Access
Question # 33

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

Full Access
Question # 34

On a _________________ one can see a pattern from the graphed points such that conclusions can be drawn about the largest family of Variation.

A.

Multi-Vari Chart

B.

Weighted Scale

C.

X-Y Matrix

D.

Poisson Chart

Full Access
Question # 35

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

Full Access
Question # 36

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 # 37

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?

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.

Full Access
Question # 38

The primary objective in removal of waste is to improve the Order Production Cycle where the time from _________________ to the time of receipt of payment is compressed.

A.

Shift start

B.

Product development

C.

Receipt of an order

D.

New fiscal year

Full Access
Question # 39

Which of these graphs demonstrates conditions which would be sufficient to enable OCAP for the process? 

A.

Xbar Chart

B.

Time Series Chart

C.

Neither

D.

Both

Full Access
Question # 40

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

A.

True

B.

False

Full Access
Question # 41

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

A.

3

B.

7

C.

10

D.

12

Full Access
Question # 42

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

A.

Beta risk

B.

Alpha risk

C.

Range of data

D.

Sample size

Full Access
Question # 43

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 ________________.

A.

Parallel process metrics

B.

Secondary metrics

C.

Tertiary metrics

D.

Industry standards

Full Access
Question # 44

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

Full Access
Question # 45

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

CSSBB question answer

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

Full Access
Question # 46

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)

Full Access
Question # 47

A Belt has determined that the inventory of repair parts at a rework station can be reduced by 45%. According to Cost of Poor Quality (COPQ) definitions inventory reduction would be considered _______________.

A.

Soft Savings

B.

COPQ efficiency

C.

Median Savings

D.

Hard Savings

Full Access
Question # 48

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

Full Access
Question # 49

Appropriate measures means that measurements are ______________.

A.

Representative

B.

Sufficient

C.

Contextual

D.

Relevant

E.

All of these answers are correct

Full Access
Question # 50

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

CSSBB question answer

A.

The independent variable is the reactant

B.

If the reactant was 10 units, with 95% confidence we would expect a minimum yield of 148 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 6 and 8 units yields around 40 to 60

E.

When the reactant increases, the expected yield would increase

Full Access
Question # 51

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

Full Access
Question # 52

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

Full Access
Question # 53

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

Full Access
Question # 54

When variation is removed from the output of a process then the process customer can have more confidence in the experience that results from the process.

A.

True

B.

False

Full Access
Question # 55

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)

Full Access
Question # 56

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

Full Access
Question # 57

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

Full Access
Question # 58

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

Full Access
Question # 59

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.

A.

Nominal

B.

Ratio

C.

Ordinal

D.

Interval

Full Access
Question # 60

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?

A.

0.5

B.

0.89

C.

1.00

D.

2.00

Full Access
Question # 61

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)

Full Access
Question # 62

From this list select the best example of Bias in Sampling.

A.

Testing the completeness of cooking a cake but the testers cannot agree on how to measure internal temperature

B.

Testing the sharpness of a razor blade while the sample of 500 are from the same model razor

C.

Testing the weight of participants at a wrestling event and only measuring those who finished second or better

D.

Testing a hand-held GPS models for durability using samples only from Nokia Model P120

Full Access
Question # 63

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

Full Access
Question # 64

When the Inputs, X’s, for your process are Normally Distributed about the Mean, the Outputs, Y’s, will always be Normally Distributed.

A.

True

B.

False

Full Access
Question # 65

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

Full Access
Question # 66

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.

A.

Sustaining

B.

Sorting

C.

Standardizing

D.

Straightening

Full Access
Question # 67

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

A.

Value Stream

B.

Kaizen event

C.

Takt time

D.

Kanban

Full Access
Question # 68

Which one of the listed tools is frequently used to help drill down to possible causes once a Fishbone Diagram is constructed?

A.

3 When Analysis

B.

Skeleton Diagnostic

C.

Ishikawa Diagram

D.

5 Why Analysis

Full Access
Question # 69

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

CSSBB question answer

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

Full Access
Question # 70

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

Full Access
Question # 71

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

CSSBB question answer

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

Full Access
Question # 72

A natural logarithmic base is not required for which of these distributions for probability calculations?

A.

Weibull

B.

Normal

C.

Poisson

D.

Binomial

Full Access
Question # 73

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 ________________.

A.

Parallel process metrics

B.

Secondary metrics

C.

Tertiary metrics

D.

Industry standards

Full Access
Question # 74

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

A.

Measurements

B.

Merger

C.

Management

D.

Medical

Full Access
Question # 75

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?

A.

Internal Failure Costs

B.

External Failure Costs

C.

Prevention Costs

D.

Appraisal Costs

Full Access
Question # 76

A Factorial Experiment based on a Level 2 Design with 6 factors would require 16 runs to fully assess the interactions.

A.

True

B.

False

Full Access
Question # 77

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

Full Access
Question # 78

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

Full Access
Question # 79

Which item(s) listed would impact the Process Capability for a process with a continuous output? (Note: There are 4 correct answers).

A.

Shape of process data distribution (e.g. Normal Distribution)

B.

Process Technology

C.

Process Standard Deviation

D.

Presence of Special Causes or solely Common Causes

E.

Seasonal variation in process

Full Access
Question # 80

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

A.

Color

B.

Expense

C.

Season

D.

None

Full Access
Question # 81

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

Full Access
Question # 82

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

Full Access
Question # 83

To be an effective Lean Six Sigma practitioner one must understand the difference between ___________________________.

A.

ANOVA and the Analysis of Variance

B.

Nonparametric tests and tests of Non-normal Data

C.

F-test and test of variances of 2 samples

D.

Practical and Statistical significance

Full Access
Question # 84

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

A.

True

B.

False

Full Access
Question # 85

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).

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

Full Access
Question # 86

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

Full Access
Question # 87

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

Full Access
Question # 88

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

A.

Beta risk

B.

Range of data

C.

Alpha risk

D.

Sample size

Full Access
Question # 89

The Japanese born function of a Kaizen event utilizes a specific, step-by-step approach meant to bring about major changes to a process.

A.

True

B.

False

Full Access
Question # 90

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?

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

Full Access