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ICBB Sample Questions Answers

Questions 4

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 5

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

Options:

A.

True

B.

False

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Questions 6

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

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Questions 7

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

Options:

A.

True

B.

False

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Questions 8

For the data set shown here which of these statements is/are true?

Options:

A.

Hypothesis Testing of Means or Medians cannot be done since there are an unequal number of observations for the 3 samples

B.

A Paired T-test would be applicable for comparing Grade B and Grade A since they follow each other in the data set

C.

Grade A has the lowest sample Mean of the 3 samples

D.

Grade A has a higher sample Mean than Grade B

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Questions 9

When a Belt creates a Process Map she will use a __________________ to depict a decision point requiring a Yes or No decision.

Options:

A.

Circle

B.

Square

C.

Diamond

D.

Rectangle

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Questions 10

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 11

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?

Options:

A.

1.68

B.

2.00

C.

4.00

D.

4.42

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Questions 12

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.

Options:

A.

Shift start

B.

Product development

C.

Receipt of an order

D.

New fiscal year

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Questions 13

The Lean toolbox includes all of the following items except __________.

Options:

A.

Poke-Yoke

B.

Standard Operating Procedures

C.

Kaizen

D.

5S the work area

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Questions 14

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 15

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 16

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

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Questions 17

If you can Poka-Yoke a defect out of the process entirely then you do not need use SPC on the characteristic of interest in the defect.

Options:

A.

True

B.

False

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Questions 18

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 19

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

Options:

A.

True

B.

False

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Questions 20

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

Options:

A.

Design

B.

Consumer

C.

Survey

D.

Test Process

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Questions 21

Cost of Poor Quality (COPQ) can be classified as Visible Costs and Hidden Costs. All these items are Hidden Cost except __________________.

Options:

A.

Lost Customer Loyalty

B.

Returns

C.

Time Value of Money

D.

Late Delivery

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Questions 22

Much of the Six Sigma methodology is used to identify and remove causes for _____________ .

Options:

A.

Process Variation

B.

Material Costs

C.

Excess Inventory

D.

Lost Sales

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Questions 23

Much of the Six Sigma methodology is used to identify and remove causes for _____________ .

Options:

A.

Process Variation

B.

Material Costs

C.

Excess Inventory

D.

Lost Sales

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Questions 24

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

Options:

A.

Multi-Vari Chart

B.

Weighted Scale

C.

X-Y Matrix

D.

Poisson Chart

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Questions 25

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

Options:

A.

1-Sample t-test

B.

2-Sample t-test

C.

F test

D.

ANOVA test

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Questions 26

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 27

Which of these is not a primary cause for Non-normal Data?

Options:

A.

Skewness

B.

Mixed Distributions

C.

Kurtosis

D.

Formulosis

E.

Granularity

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Questions 28

Time is always the metric on the horizontal scale of a(n) ___________ Chart.

Options:

A.

Pareto

B.

Xbar

C.

Multi-Vari

D.

NP

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Questions 29

If the results from a Hypothesis Test are located in the "Region of Doubt" area, what can be concluded?

Options:

A.

Rejection of the Alpha

B.

We fail to reject the Null Hypothesis

C.

The test was conducted improperly

D.

We reject the Null Hypothesis

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Questions 30

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 31

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

Options:

A.

Weibull

B.

Binomial

C.

Poisson

D.

Normal

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Questions 32

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

Options:

A.

True

B.

False

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Questions 33

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

Options:

A.

Uncommon

B.

Ordinary

C.

Special

D.

Selective

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Questions 34

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 35

At the very initiation of a project a Belt must develop a concise _______________ that states at a high level the area of concern and why it is important this issue be improved.

Options:

A.

Business Case

B.

Project Doctrine

C.

Management Justification

D.

Process Owner Disclosure

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Questions 36

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 37

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

Options:

A.

True

B.

False

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Questions 38

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

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 39

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

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

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Questions 40

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 41

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.

MLR is conducted based on a deliberate form of experimentation

D.

The Residuals from MLR analysis have to be Normally Distributed

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Questions 42

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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Questions 43

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

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Questions 44

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

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Questions 45

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 46

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 $3,800 in order to stay within budget. Using a sample of 38 first article components, a Mean of the new product upgrade price of $3,680, and a Standard Deviation of $120 was estimated. In order to increase the Long Term Z value to 5, what is the maximum long term variation in pricing the Belt can accept for his upgraded critical raw material component?

Options:

A.

$6

B.

$12

C.

$24

D.

$48

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Questions 47

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

Options:

A.

The independent variable is the reactant

B.

If the reactant was 6 units, with 95 % confidence we would expect a minimum yield of 100 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 2 and 4 units yields around 20 to 40

E.

When the reactant increases, the expected yield would increase

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Questions 48

Sally bought a blender from her local appliance store. When she changed blades the blender would not function. 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 49

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.

Practical and Statistical significance

D.

F-test and test of variances of 2 samples

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Questions 50

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 51

The calculation of Column Total times Row Total divided by Grand Total yields expected values from what type of chart?

Options:

A.

Pareto Chart

B.

Sakami Table

C.

Contingency Table

D.

None

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Questions 52

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 53

If a Six Sigma project was to reduce repair station inventory and the team found the inventory was creeping up over time which Lean tools should be considered in the Control Phase to reestablish and sustain the project success?

Options:

A.

Review the Visual Factory to assure inventory in excess of desired visible

B.

Improve the lighting to assure adequate visibility

C.

Analyze data from supplier deliveries

D.

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

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Questions 54

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 55

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 56

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 57

SPC Charts are used extensively in different business and decision-making environments. In this example a vendor is being selected based on speed of delivery. Which of the conclusions would help you pick a vendor for your needs regarding lead-time of delivery from your vendors? (Note: There are 4 correct answers).

Options:

A.

Vendor A with a much shorter lead time in delivery

B.

Vendor B as it has a better consistency (lower variance) on lead time

C.

Vendor B since Vendor A shows a situation out of control as shown in red

D.

Vendor B since the Control Limits are much narrower than Vendor A

E.

Vendor B has higher lead time, but a process with much narrower Control Limits

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Questions 58

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 59

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 60

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 61

The Lean toolbox includes all of these items except ________________.

Options:

A.

Mistake Proofing

B.

Visual Factory

C.

Design of Experiments

D.

Inventory Management

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Questions 62

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 63

If a process has subgroups for Variable data and the process runs for a long period of time, then the best pair of SPC Charts to use would be an Xbar and _________.

Options:

A.

NP Chart

B.

Individuals Chart

C.

R Chart

D.

C Chart

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Questions 64

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 65

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

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Questions 66

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 67

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 68

The Control Limits width varies if the sample size varies for which type of chart?

Options:

A.

P Charts

B.

NP Charts

C.

Xbar-R Charts

D.

Time Series Charts

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Questions 69

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 70

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

Options:

A.

Prediction

B.

Ideation

C.

Capability

D.

Variation

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Questions 71

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

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Questions 72

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

Options:

A.

All of the standardized residuals will be within ±3 Standard Deviations

B.

The sum of the residuals is zero

C.

The residuals when plotted follow a Normal Distribution

D.

Most standardized residuals are within ±2 Standard Deviations

E.

The Residual is equal to the difference between the observed and predicted values

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Questions 73

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 74

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

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Questions 75

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 76

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

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 77

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 78

Some of the sources for different types of error that can be quantified using Statistical Analysis are which of these?

Options:

A.

Error in sampling

B.

Bias in sampling

C.

Error in measurement

D.

All of the above

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Questions 79

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

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Questions 80

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 81

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.

Options:

A.

Shift start

B.

Product development

C.

Receipt of an order

D.

New fiscal year

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Questions 82

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 83

Fractional Factorial designs are used to reduce the time and cost of experiments because the ____________ has been lowered.

Options:

A.

Number of data measurement points

B.

Number of runs

C.

People involved

D.

Output summary

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Questions 84

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 85

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 86

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

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Questions 87

How many experimental runs exist in a Full Factorial and fully randomized design for 5 factors with 2 replicates for the Corner Points and no Center Points? The factors in the experiment are only at 2-levels.

Options:

A.

10

B.

128

C.

256

D.

64

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Questions 88

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 89

A Process Map is created in order that a Belt can __________________.

Options:

A.

Follow the product to the end

B.

Get the line people’s names correct

C.

Capture all the activities comprising the process

D.

Manage the input inventory delivery schedule

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Questions 90

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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Exam Code: ICBB
Exam Name: IASSC Lean Six Sigma – Black Belt
Last Update: May 15, 2024
Questions: 300
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