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ICBB IASSC Lean Six Sigma – Black Belt Questions and Answers

Questions 4

To establish a sample size that will allow the proper overlap of distributions we do which of these?

Options:

A.

Multiply Alpha by 1.75

B.

Calculate one minus Beta

C.

Calculate Beta plus 2

D.

Multiply Beta by 3

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Questions 5

When we gather information for the Voice of the Business we are primarily interested in information concerning the _____________ of the business.

Options:

A.

Advertising budget

B.

Market share

C.

Profitability

D.

Ownership

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Questions 6

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 7

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 8

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

Options:

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

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Questions 9

Sally and Sara sell flower pots at their garage sale. Sally motivates Sara mentioning that they will sell a minimum of 22 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 18.2 pots per day were sold with a Standard Deviation of 0.9 pots. What is the Z value for this sales process?

Options:

A.

1.23

B.

1.62

C.

2.11

D.

4.22

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Questions 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.

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Questions 11

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.

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Questions 12

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 _______________.

Options:

A.

Soft Savings

B.

COPQ efficiency

C.

Median Savings

D.

Hard Savings

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Questions 13

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 14

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

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Questions 15

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

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Questions 16

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

Options:

A.

True

B.

False

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Questions 17

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?

Options:

A.

$20

B.

$35

C.

$70

D.

$110

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Questions 18

How many experimental runs exist in a Full Factorial and fully randomized design for 4 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.

32

C.

256

D.

64

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Questions 19

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 20

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

D.

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

E.

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

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Questions 21

Fractional Factorial designs are used to reduce the ____________ because the number of runs has been lowered.

Options:

A.

Time and cost of experiments

B.

Number of people involved

C.

Number of data measurement points

D.

Output summary

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Questions 22

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 23

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 24

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 25

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

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Questions 26

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

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Questions 27

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 28

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

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Questions 29

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

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Questions 30

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 31

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

Options:

A.

True

B.

False

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Questions 32

An operator is measuring the distance between two points. Which is most likely to be influenced by the operator?

Options:

A.

Precision of the measurement

B.

Accuracy of the measurement

C.

Calibration of the instrument

D.

All of these answers are correct

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Questions 33

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 34

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 35

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 36

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 37

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 38

The _______ is the most frequently occurring value in a distribution of data.

Options:

A.

Median

B.

Mean

C.

Mode

D.

Center Point

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Questions 39

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

Options:

A.

True

B.

False

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Questions 40

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 $3,600 in order to stay within budget. Using a sample of 42 first article components, a Mean of the new product upgrade price of $3,200 and a Standard Deviation of $180 was estimated. Based on the data provided, the Z value for the data assuming a Normal Distribution is?

Options:

A.

1.11

B.

2.22

C.

4.30

D.

5.42

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Questions 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

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Questions 42

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 43

The _______ is the most frequently occurring value in a distribution of data.

Options:

A.

Median

B.

Mean

C.

Center Point

D.

Mode

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Questions 44

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 45

Range Charts are the technique used to determine if Special Causes are occurring within the subgroups of the ______________.

Options:

A.

Histograms

B.

SPC Charts

C.

NP Charts

D.

Pareto Charts

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Exam Code: ICBB
Exam Name: IASSC Lean Six Sigma – Black Belt
Last Update: May 14, 2024
Questions: 300

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