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Certified Six Sigma Black Belt

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Total Questions : 300

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Question # 1

The Normal Distribution is considered to be the most important distribution in statistics and, among other things is defined as having a total area under the curve of 1, is mounded and symmetrical and the Mean, Median and Mode are _____________.

Options:

A.  

All evenly divisible by 3

B.  

Twice the Standard Deviation

C.  

Within 10% of each other

D.  

The same number

Discussion 0
Question # 2

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

Options:

A.  

Color

B.  

Expense

C.  

Season

D.  

None

Discussion 0
Question # 3

A Full Factorial experiment using a 2 level 4 factor approach has been proposed to test the viability of an extrusion machine experiment. How many treatment combinations will this approach involve?

Options:

A.  

8

B.  

16

C.  

32

D.  

64

Discussion 0
Question # 4

An example of the waste of mismanaged Inventory is __________.

Options:

A.  

Capital costs of money

B.  

Value decrease from aged inventory

C.  

Cost of storage space

D.  

All of these answers are correct

Discussion 0
Question # 5

Six Sigma is a business improvement discipline whose fundamental view is based on a _________ oriented approach of the business.

Options:

A.  

Profit

B.  

Performance

C.  

Process

D.  

Predatory

Discussion 0
Question # 6

When conducting a Hypothesis Test using Continuous Data the proper sample size is influenced only by the extent to which we need to assess a Difference to be detected but not the inherent variation in the process.

Options:

A.  

True

B.  

False

Discussion 0
Question # 7

A Belt rearranged the location of the parts inventory for a rework station locating the most often used parts to be within hand reach of the repair person. This rearrangement resulted in quicker repair times by eliminating one of seven major elements of waste which is the Waste of __________.

Options:

A.  

Motion

B.  

Conveyance

C.  

Inventory

D.  

Waiting

Discussion 0
Question # 8

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

Discussion 0
Question # 9

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 _______________.

Options:

A.  

Within, Between and Temporal

B.  

Within, Between and Temporary

C.  

Without, Above and Below

D.  

Induced, Natural and Unavoidable

Discussion 0
Question # 10

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

Dat

A.  

unit input: 1450, unit output: 1390, defects repaire

D.  

320, scrap: 60

Options:

A.  

71.33%

B.  

72.66%

C.  

73.79%

D.  

77.93%

Discussion 0
Question # 11

One of the methods of testing a Measurement System is to have at least two people take multiple readings from the same instrument and of the same sample set to judge the Repeatability and Reproducibly. This approach is called a ______________ study.

Options:

A.  

Correlation Analysis

B.  

Gage R & R

C.  

Bimodal

D.  

Dual Attribute

Discussion 0
Question # 12

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

Question # 12

Options:

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

Discussion 0
Question # 13

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

A.  

Options:

A.  

Design

B.  

Consumer

C.  

Survey

D.  

Test Process

Discussion 0
Question # 14

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

Discussion 0
Question # 15

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?

Options:

A.  

0.67

B.  

1.13

C.  

1.33

D.  

2.66

Discussion 0
Question # 16

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

Options:

A.  

True

B.  

False

Discussion 0
Question # 17

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

Options:

A.  

Stakeholders

B.  

Senior management

C.  

Co-workers

D.  

Process owners

Discussion 0
Question # 18

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.

Question # 18

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

Discussion 0
Question # 19

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

Discussion 0
Question # 20

If a Six Sigma project was to reduce changeover times and the team found the project success was decreasing over time since changeover times began to creep back up, which Lean tools should be considered in the Control Phase to reestablish and sustain the project success?

Options:

A.  

Improve the lighting to assure adequate visibility

B.  

Confirm a Visual Factory exists to assure proper communication of status of machines

C.  

Implement Kanbans to assure enough inventory for the process step

D.  

Reword the standardized work instructions to use active verbs and not passive phrases

Discussion 0
Question # 21

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

Options:

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

Discussion 0
Question # 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

Discussion 0
Question # 23

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

Options:

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

Discussion 0
Question # 24

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

Discussion 0
Question # 25

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

Options:

A.  

Management

B.  

Merger

C.  

Materials

D.  

Medical

Discussion 0
Question # 26

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

Question # 26

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

Discussion 0
Question # 27

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

Options:

A.  

True

B.  

False

Discussion 0
Question # 28

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

Discussion 0
Question # 29

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

Discussion 0
Question # 30

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

Question # 30

(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.

Discussion 0
Question # 31

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

Discussion 0
Question # 32

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

Discussion 0
Question # 33

A Belt is analyzing data and upon creation of the graphical analysis sees multiple modes. One of the primary reasons this could occur is because the process has experienced a ____________________.

Options:

A.  

Significant change from one shift to another

B.  

Sizable Measurement System error

C.  

Catastrophic failure of some sort

D.  

Any one of these

Discussion 0
Question # 34

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

Options:

A.  

True

B.  

False

Discussion 0
Question # 35

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

Options:

A.  

True

B.  

False

Discussion 0
Question # 36

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

Question # 36

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.

Discussion 0
Question # 37

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

Question # 37

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

Discussion 0
Question # 38

One of the primary deliverables from performing a SIPOC is to begin to understand which outputs have the greatest affect on the customer most valued inputs.

Options:

A.  

True

B.  

False

Discussion 0
Question # 39

A Lean Six Sigma project is attempting to reduce inventory days. The Process Capability will be monitored as part of the Control Phase to track the sustainability of the improvement.

Question # 39

Which distribution type is best used for performing the Capability Analysis?

Options:

A.  

Weibull Distribution

B.  

Normal Distribution

C.  

Exponential Distribution

D.  

Logistic Distribution

E.  

Gaussian Distribution

Discussion 0
Question # 40

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

Options:

A.  

Histogram

B.  

Box Plot

C.  

Stem and Leaf Plot

D.  

X-Y Diagram

Discussion 0
Question # 41

When analyzing the behavior of our process to assess customer satisfaction we are concerned about both the variation such that it stays within the spec limits and how well the Mean is __________________ the process requirements.

Options:

A.  

Balanced against

B.  

Over and above

C.  

Twice as great as

D.  

Centered relative to

Discussion 0
Question # 42

Special Cause Variation falls into which two categories?

Options:

A.  

Natural & Unnatural

B.  

Short Term & Long Term

C.  

Assignable & Pattern

D.  

Attribute & Discreet

Discussion 0
Question # 43

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

Discussion 0
Question # 44

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.  

SIPOC

B.  

FMEA

C.  

Business Case

D.  

Team charter

Discussion 0
Question # 45

Which of these elements are not included in Implementation plans?

Options:

A.  

Work breakdown structure

B.  

Cost/Benefit ratios

C.  

Risk management plans

D.  

Planned audits of work completion

Discussion 0
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