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# Benchmark Lean Six Sigma Green Belt Sample Paper : benchmarksixsigma.com

** Name of the Organisation **: Benchmark Six Sigma Pvt. Ltd.

**: Lean Six Sigma Green Belt Exam**

__Exam__**: Background,Analyze,Define,Measure,etc**

__Subject__**: Sample Question Paper**

__Document Type__**: https://www.benchmarksixsigma.com/sample-question-papers/**

__Website__You can now ask your questions about this question paper. Please go to the bottom of this page. |
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## Benchmark Lean Six Sigma Green Belt Sample Paper

You can begin your business excellence journey with Benchmark by starting with Lean Six Sigma Green Belt, following up with a program of relevance; Most people take up Black Belt soon.

: Benchmark Lean Six Sigma Black Belt Sample Question Paper : www.pdfquestion.in/33870.htmlRelated

Seen by many as a life changing program, this program shall change the way you look at processes, excellence and improvement and help you carry out projects

## Background

1. Please carry out Anderson- Darling normality test for the data provided in Table 1. What is the p-value and inference at 5% significance level?

p-value is 0.533 and data are normally distributed with stated mean and standard deviation

p-value is 0.533 and data are not normally distributed with stated mean and standard deviation

p-value is 0.533 and data are not normally distributed with stated mean and standard deviation

p value is 0.2533 and data are exponentially distributed with stated mean and standard d deviation

2. What % of points fall between 70 and 90 in the box plot shown in figure?

25%

50%

75%

20%

3. For the data provided in table 3, please compute Arithmetic Mean, sample standard deviation and median

Mean=69.43, stdev=6.4, Median=70

Mean=69.13, stdev=5.4, Median=70

Mean=68.43, stdev=5.7, Median=72

Mean=68.13, stdev=4.9, Median=74

4. For the data provided in table 4, which of the following measures is a robust measure of central tendency?

Arithmetic mean

Median

Mode

Range

5. Assuming the data follows perfect normal distribution, what % of the values fall +- 2 sigma of the mean?

68.27%

95.46%

99.73%

90%

6. If Sample Variance is 24.01, Range=10, Sample standard deviation is equal to

4.4

5.1

4.9

576.48

7. What is sometimes called the 8th waste in Lean?

Inventory

Under-utilisation of talent and skills

Waiting

Over-Production

8. A box plot displays:

Median

Range

Inter-Quartile Range

All of the above

9. Which of the following is a discrete distribution?

F-distribution

Normal

t- distribution

Poisson

10. Radical Re-engineering is commonly associated with

DMAIC

Lean

DMADV

ISO

## Define

1. Which of the following elements is not part of the project charter in Define Phase?

CTQ and Goals

Business Case

List of validated root causes

Team members

2. The GM of a multiplex is worried about the dwindling sales number and empty seats in the auditorium. Which of the following is the most appropriate CTQ that relates to the GM’s worry?

Delivery time

Customer Satisfaction

Occupancy %

Quality

3. The main deliverable of Define Phase is

Root causes

Project Charter

Evaluation of Current Performance

Standardized Processes

4. Please identify the critical path. Refer to data in table

ADFG

ACEG

ABEG

ABEF

5. What section of the project charter helps the most in creating urgency in Senior Management?

CTQ and Goals

Project Plan

Team members

Business Case

6. Which tool can be used to scope a Six Sigma project?

SIPOC

CPM

Gantt Chart

Control Charts

7. CTQs can be identified from

VOC

VOB

COPQ

All of the above

8. Pareto Plots can be used in

Define Phase to select a project from a list of projects

Analyze Phase to identify Potential Xs

Analyze Phase to identify Critical Xs

All of the above

## Measure

1. The specifications for Room temperature is as follows: USL=24, LSL=18, Process Average=22 and standard deviation is 1. What is the Zlt?

3

5

4

2

2. 2000 forms were inspected, 127 forms were incomplete and therefore considered defective. What is Zlt?

2.53

1.53

1.03

2.63

3. 1000 projectors were inspected. 64 defects were observed. Consider OFE unknown. What is Zlt?

1.64

1.73

1.24

1.54

4. For diameter of a ball, the Cp is 0.75, and Cpk is 0.75. We wish to improve the capability of the process. What should we do?

Move mean closer to target

Reduce variation

Both ‘a’ and ‘b’

None of the above

5. The FTY yield of four sub-processes is 99%, 98%, 99% and 97%. What are the RTY and Zlt?

RTY =94.63% and Zlt=1.61

RTY =93.63% and Zlt=1.52

RTY =94.17% and Zlt=1.57

RTY =93.17% and Zlt=1.49

6. The average delivery time of a product = 22, standard deviation=6, what is the expected DPMO if the delivery is desired within 30 minutes? (Assume delivery time follows normal distribution)

90143

85243

91211

88156

7. A mobile phone can have up to 5 defects. 200 mobile phones were inspected and 56 defects were observed. What is Zlt?

1.59

1.61

1.63

1.56

8. The main deliverable of Measure Phase is

Identify the Project

Evaluate current performance

Control Plan

Train the Process Owner

9. The diameter of a component should be 8mm±2mm. The average diameter is 7 and standard deviation (within) is 1. What is Cp, Cpk?

Cp=.67, Cpk=.33

Cp=1.67, Cpk=1.33

Cp=1.33, Cpk=1

Cp=2, Cpk=2

10. An improvement manager collects a product every 30 minutes for testing. What sampling method did the improvement manager use?

Random Sampling

Stratified Sampling

Systematic Sampling

Homogenous Sampling

## Analyze

1. The Regression equation is Sales= 4430+4.63 Adspend. If Adspend $ 4400, what is expected sales?

24802

20915

20410

21615

2. Type I error is

Null is not true, however we accept Null

Null is true, however we accept Alternate

Both ‘a’ and ‘b’ are correct

None of the above

3. What is the Alternative Hypothesis in One-Way ANOVA?

All Variances are equal

Not all Variances are equal

All Means are equal

Not all Means are equal

4. For the data provided in Table 2, please find Correlation coefficient of the two continuous variables and draw inferences

r=-0.98 and strong negative correlation

r=0.98 and strong positive correlation

r=-0.9 and weak correlation

r=1 and perfect correlation

5. Please comment on correlation between X and Y based on figure 1

Strong negative correlation

Weak negative correlation

Strong positive correlation

Weak positive correlation

6. If Confidence level=90%, which of the following statement is correct?

alpha=5%

beta=5%

beta=10%

alpha=10%

7. If continuous X and continuous Y are perfectly correlated, which of the following statements is most appropriate?

X causes Y

X is one of the causes of Y

X has a perfect linear association with Y

All of the above

8. Six Sigma Green Belt wants to ascertain whether average transaction time post improvement has reduced. What is the most appropriate test that the GB should carry out? Consider the data to be independent and normally distributed?

F-test

Chi-Square Test of Association

Sign test

2- sample t test

9. What is the main deliverable of Analyze Phase?

Selected Solution

List of Potential Solutions

Validated Root Causes

Control Charts

10. What tool can help us determine the vital few out of trivial many?

Pareto Plots

Ishikawa Diagram

Design of Experiments

Pugh Matrix

## Improve

1. Please refer to the Pugh Matrix in Table 5 . Based on this Pugh matrix, which alternative solution is the most optimum

Solution B

Solution A

Solution D

Solution C

2. Green Belt wants to ascertain whether % defects post improvement has reduced. What is the most appropriate test that the GB should carry out? Consider the sample size to be large

2-proportion-test

ANOVA

Krushkal Wallis test

2- sample t test

3. Which technique can be used to generate alternative solutions?

Benchmarking

Control Charts

Attribute Agreement Analysis

Pugh Matrix

4. Pilot is important because

It helps us understand risks

Validate expected results

Facilitates buy in

All of the above

5. Supervisor wants to compare the defective % of two teams. Which test should he use?

Chi square test

Bartlett’s test

2 proportion test

2 variance test

5. It is a method of relying on a panel of experts to anonymously select their responses using a secret ballot process

Nominal Group Technique

Multi-voting

Delphi Technique

Pugh Matrix

6. If there are three factors, 2 levels of each factor, how many unique combinations are possible for experimentation?

9

6

8

5

7. To check whether Y has improved, we may compare before and after performance using:

Sigma Level

Cp, Cpk (continuous data)

Hypothesis Testing

All of the above

## Control

1. If a control chart is not in control, which of the following inferences is correct?

Only Common causes are present

Only Special Causes are present

Special and Common causes are present

Neither Special nor Common are present

2. The quality manager inspects 100 mobiles every day. He checks whether the mobiles are working or not. He would like to control chart this data. What is the most appropriate control chart to use in this case?

np

c

u

I-MR

3. Green Belt wants to control chart delivery time of pizzas. Green Belt inspects delivery time of 5 random selected pizzas every evening from 6pm – 9pm. Consider the data to be normally distributed, what control chart should be used?

np chart

p chart

Xbar-R

I-MR

4. Which of the following test for special causes is not used for ‘p’ chart?

6 points increasing or decreasing

14 points alternating up and down

4 out of 5 points more than 1 standard deviation from centre line

9 points in a row on the same side of the centre line

5. Please refer to Figure 3 and comment

Individual and Moving Range Charts are in control

Only Individual chart is in control

Only Moving Range chart is in control

Neither charts are in control

6. We use control charts to monitor

Xs (inputs)

Y (output)

Both ‘a’ and ‘b’

Assessment of Performance

7. Process Owner is monitoring number of errors in a transaction. Process Owner inspects 5% of the total transactions in a day. The number of transactions varies every day. What type of control chart should be used?

u chart

p chart

c chart

np chart

8. A control plan may have

Risk Mitigation plan

Audit Plan

Statistical Process Control Plan

All of the above

9. Benefit/s of Poka Yoke devices

Reduction/elimination in formal training programs

Reduction/elimination of inspection

Reduction/elimination of rework

All of the above

10. The chest measurement of 20 shirts is inspected per day. What is the most appropriate control chart to detect the presence of special cause?

p chart

I-MR

Xbar-R

Xbar-S

The GM of a multiplex is worried about the dwindling sales number and empty seats in the auditorium. which of the following is the most apppropriate CTQ

that relates to the GM’s worry