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

Name of the Organisation : Benchmark Six Sigma Pvt. Ltd.
Exam : Lean Six Sigma Green Belt Exam
Subject : Background,Analyze,Define,Measure,etc
Document Type : Sample Question Paper
Website : https://www.benchmarksixsigma.com/sample-question-papers/

## 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.

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

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
ISO

## Define

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

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
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

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