The document is a question paper consisting of multiple-choice questions related to Six Sigma concepts, statistical methods, and quality management techniques. It covers a variety of topics including process capability, control charts, sampling methods, and customer satisfaction approaches. Contact information for obtaining an answer sheet is provided at the beginning.

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Six Sigma Green Belt
Multiple Choices
Q1. The Following is a sample data set. 10 8 8 6 5 What is the variance of this data set?
a. 3.0
b. 3.8
c. 7.3
d. 7.4
Q2. An auditor should use a histogram in a quality audit to do which of the following?
a. Provide objective evidence that the audited uses statistical process control (SPC)
b. Expose patterns that are normally difficult to detect
c. Interpret data for a trend chart
d. create a stratified tally diagram
Q3. Comparing how a process is actually performed against the documented work
instruction for that process is an example of which of the following techniques?
a. Quantitative
b. Qualitative
c. Statistical

2. d. Random sampling
Q4. Attribute sampling should be used when
a. The data are measurements in metric units.
b. Ayes-or-no decision is to be made.
c. The population has variability.
d. A multi-stage sampling plan is needed.
Q5. Scatter diagrams are best described as
a. Histograms.
b. Correlation analysis.
c. Pareto analysis.
d. Ishikawa diagrams.
Q6. If data are plotted over time, the resulting chart will be a
a. Run chart
b. Histogram
c. Pareto chart
d. Poisson distribution
Q7. To determine who are or might be customers for a specific process, it would be most
useful to create a
a. Pareto chart
b. Flow diagram
c. Cause and effect diagram
d. Scatter diagram

3. Q8. A production line uses signs at specific points on the line to indicate when
components or raw materials need to be replenished. The practice is an example of
a. Kanban
b. Poka-yake
c. Checkpoints
d. Hoshin
Q9. Which of the following is a good tool for planning cycle time reduction and
concurrent operations?
a. A timeline
b. A Pareto diagram
c. An X and R chart
d. A PERT chart
Q10. Attribute and variable data are best described as which of the following? Attribute
variable
a. Counted values measured values
b. Counted values visual features
c. Measured values counted values
d. Visual features counted values
Q11. All of the following are common ways for people to react to conflict EXCEPT
a. Competing
b. Collaborating
c. Avoiding
d. Sabotaging

4. Q12. A quality manager has chosen to survey customer satisfaction by talking samples
based on the categories of frequency of use, categories of use, and demographic. This
technique is known as
a. Random sampling
b. Data collection
c. Stratification
d. Customer classification
Q13. Which of the following actions is Not used to reduce process cycle time?
a. Analyzing current processes
b. Reducing queue times
c. Setting priorities
d. Implementing activity-based costing
Q14. A company’s accounts payable department is trying to reduce the time between
receipt and payment of invoices and has recently completed a flowchart. Which of the
following tools would be the for them to use next?
a. Fishbone diagram
b. Scatter diagram
c. Box and whisker plat
d. Histogram
Q15. In a manufacturing company, the machine shop is what kind of customer in
relation to the human resource department?
a. Intermediate
b. Hidden
c. External
d. Internal

5. Q16. The primary purpose of a project charter is to
a. Subdivide the project into smaller, more manageable components
b. Provide management with a tool for selecting a project that addresses business needs
c. Provide management with a tool to ensure that project deadlines are met
d. Provide the project manager with authority to apply organizational resources to
project activities
Q17. Sample selection of parts for inspection must be selected at random to ensure
a. A minimum sample size.
b. The probability of not rejecting the lot
c. The probability of accepting the lot
d. Finding typical characteristics of the lot.
Q18. Which of the following are bases for establishing calibration intervals?
I. Stability
II.Purpose
III.Degree of usage
a. I and II only
b. I and III only
c. II and III only
d. I, II, and III
Q19. Specification limits are derived from which of the following?
a. Process capability studies
b. Process control charts

6. c. Customer requirements
d. Historical data
Q20. The primary purpose of a control chart is to
a. Set Specifications and tolerances
b. compare operations.
c. Determine the stability of a process.
d. Accept or reject a lot of material
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Q21. When a control chart is used on a new process, capability can be assessed at which
of the following times?
a. Before the chart is first started
b. After the first ten points are plotted
c. When the plotted points hug the centerline
d. After the process is shown to be in control
Q22. Precision is best described as
a. A comparison to a known standard
b. The achievement of expected outgoing quality
c. The repeated consistency of results
d. The difference between an average measurement and the actual value
Q23. The overall ability of two or more operators to obtain Consistent results repeatedly
when measuring the same set of parts and using the same measuring equipment is the
definition of
a. Repeatability

7. b. Precision
c. Reproducibility
d. Accuracy
Q24. Which of the following conditions must be met for a process to be in a state of
statistical control?
a. Most of the product out by the process is in specification.
b. All subgroup averages and rang are within control limits.
c. All variation has been completely removed
d. Previously optimal process settings are used.
Q25. Which of the following measures of dispersion is equal to the sum of deviations
from the mean squared divided by the sample size?
a. Range
b. Standard deviation
c. Variance
d. Mode
Q26. An X and R chart is used to
a. Indicate process variation
b. Specify design Limits
c. Interpret costs
d. Identify customer expectations
Q27. Which of the following is the most useful graphical tool for promoting an
understanding of process capability?
a. A flowchart

8. b. A histogram
c. An affinity diagram
d. An Ishikawa diagram
Q28. The type of chart that presents the value of items in descending order is a
a. Histogram
b. Pareto chart
c. U chart
d. Cusum chart
Q29. Measures of which of the following provide attributes data?
a. Temperature in degrees
b. Attendance at meetings
c. Weight in pounds
d. Length in metric units
Q30. The fraction of nonconforming products is plotted on which of the following types
of control chart?
a. P chart
b. U chart
c. Np chart
d. C chart
Q31. A cause and effect diagram is a useful tool for doing which of the following?
a. Determining the flow of a process
b. Detecting shifts in a process
c. Developing theories based on symptoms

9. d. Arranging theories by defect count
Q32. Which of the following statistics would best describe the central tendency of a
sample of data?
a. Mode
b. Mean
c. Standard deviation
d. Range
Q33. Which of the following types of tools or techniques is considered qualitative?
a. Histogram
b. Frequency distributions
c. Pareto chart
d. Process observations
Q34. Which of the following techniques is most useful in narrowing issues and limiting
discussion?
a. Brainstorming
b. Quality function deployment
c. Cause and effect analysis
d. Mutilating
Q35. In statistics, an estimation error that is persistent or systematic is called
a. Bias
b. Sensitivity
c. Random
d. Shift

10. Q36. A customer satisfaction survey used the following rating scale:
1= very satisfied
2= Satisfied
3= Neutral
4= dissatisfied
5= very dissatisfied
This is an example of which of the following measurement scales?
a. Nominal
b. Ordinal
c. Ratio
d. Interval
Q37. Which of the following techniques is used in identifying underlying problems?
a. Cause and effect analysis
b. Prioritization matrix
c. Force field analysis
d. Pareto analysis
Q38. For a normal distribution, two standard deviation on each side of the mean would
include what percentage of the total population
a. 47%
b. 68%
c. 95%
d. 99%

11. Q39. In measurement system analysis, which of the following pairs of data measures is
used to determine total variance?
a. Process variance and reproducibility
b. Noise system and repeatability
c. Measurement variance and process variance
d. System variance and bias
Q40. Process data being used in the initial set-up of a process are assumed have a
normal distribution. If the nominal (target) is at the center of the distribution, and the
specification limits are set at = 3 from the center the Cpk is equal to
a .-0.25
b. 1.00
c. 1.33
d. 1.67
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Q41. A green belt is going to monitor the number of defects on different size samples.
Which of the following control chart would be most appropriate?
a. u
b. np
c. c
d. p
Q42. Correction, over-production, inventory, and motion are all examples of
a .waste
b. 5S target areas

12. c. Noise
d. Value-added activities
Q43. The primary factor in the successful implementation of six sigma is to have
a. The necessary resources
b. The support/leadership of top management
c. Explicit customer requirements
d. A comprehensive training program
Q44. Which of the following types of variation is LEAST likely to occur in sequential
repetitions of a process over a short period of time?
a. Cyclical
b.Positional
c. Temporal
d. Seasonal
Q45. The primary reason that most companies implement six sigma is to
a. Reduce defects
b. Improve Processes
c. Improve profit
d. Increase customer satisfaction
Q46. The term used to describe the risk of a type I error in a test of hypotheses is
a. Power
b. Confidence level
c. Level of significance
d. Beta risk

13. Q47. One characteristic of attributes data is that it is always
a .continuous
b. Discrete
c. Expensive to collect
d. Read from a scale of measurement
Q48. Which of the following tests may be used to determine whether a sample comes
from a population with an exponential distribution?
a. T
b. F
c. Chi-square
d. ANOVA
Q49. Which of the following tools are appropriate for a quality engineer to use in
qualifying a process that has variable data?
I. An and R control chat
II. A his to gram
III. A cc hart
IV.A p chart
a. I and II only
b. II and III only
c. III and IV only
d. I, II, and IV only
Q50. The correlation coefficient for the length and weight of units made by a process is
determined to be 0.27. if the process were adjusted to reduce the weight of each unit by

14. 0.5 ounce, the correlation coefficient of the length and weight of the units made by the
new process would be equal to
a. 0.50
b. 0.27
c. 0.23
d. -0.23
Q51. A form, in either diagram or table format, that is prepared in advance for recording
data is known as a
a. Cause-and-effect diagram
b. Pareto chart
c. Flowchart
d. Check sheet
Q52. A major drawback of using histogram in process control is that they
a. do not readily account for the factor of time
b. Are relatively difficult to construct and interpret
c. Require too many data points
d. Require too many intervals
Q53. Which of the following tools would be of the greatest use for finding the most
efficient path and realistic schedule for the completion of a project?
a. Interrelationship diagram
b. Activity network diagram
c. Tree diagram
d. Affinity diagram
Q54. A control plan is designed to do which of the following?

15. a. Supplement information contained in operator instructions
b. Support the production scheduling system
c. Provide a documented system for controlling processes
d. Provide a method for tracking the design review process
Q55. To determine the average number of nonconforming parts over time, which of the
following attribute control chart would be most appropriate?
a. A chat
b. Np chart
c. P chart
d. U chat
Q56. Which of the following techniques is most appropriate for generating continuous
improvement ideas?
a. Tree diagram
b. Brainstorming
c. Prioritization matrix
d. Interrelationship diagraph
Q57. Which of the following tools is used extensively quality function deployment
(QFD)?
a. Affinity diagram
b. Matrix diagram
c. Cause and effect diagram
d. Activity network diagram
Q58. Which of the following tools is most likely to be organizing a list of ideas generated
during a brainstorming session?

16. a. Activity network diagram
b. Affinity diagram
c. Histogram
d. Process control chart
Q59. Which of the following tools would be most appropriate for collecting data to study
the symptoms of a problem?
a. A check sheet
b.A flow diagram
c. A force field analysis
d. An activity network diagram
Q60. Kaizen is defined as
a. Re-engineering
b. Lean manufacturing
c. Continuous improvement
d. Error –proofing
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Q61. The LEAST informative of the four measurement scales is the
a. Ratio
b. Nominal
c. Ordinal
d. Interval

17. Q62. Which of the following can used to determine the goodness of fit of a distribution
to a data set?
a. T test
b. ANOVA
c. F test
d. Chi square test
Q63. A fair coin is tossed 10 times. What are the expected mean and variance of the
number of heads?Mean variance
a. 0.5 0.025
b. 5.0 2.500
c. 5.0 5.000
d. 10.0 5.000
Q64. A process capability analysis is NOT used to
a. Determine the ability of a process to meet specifications
b. Maintain a process in a state of statistical control
c. Establish new specifications
d. Prioritize competing processes
Q65. A type of line graph used to assess the stability of a process is called a
a. Control chart
b. Pareto chart
c. Check sheet
d. cause and effect diagram
Q66. A process produces nonconformities according to a distribution. If the mean of the
nonconformities is 25, what is the standard deviation?

18. a. 2.5
b. 5.0
c. 12.5
d. 25.0
Q67. Five six-sided dice are rolled together 100 times. Two histograms are constructed:
one for the 500 individual results and one for the 100 averages of five results. In this
situation, the individual results follow a uniform distribution, while the averages follow
which of the following distributions?
a. Normal
b. Student’s t
c.Binomial
d. Uniform
Q68. A calibrated micrometer was used to take 10 replicated measures of a reference
standard. If X m=0.073, and the true value of the reference standard is 0.075, what is
the bias of the micrometer?
a. 0.001
b. 0.002
c. 0.073
d. 0.075
Q69. The power of a test for the difference between means is measured by
a. A
b. 1-a
c. B
d. 1-b

19. Q70. A process is stable and its output is normally distributed. The process has a
specification of 16.73=0.01. What is the maximum process standard deviation if the Cp
must be=1.5?
a. 0.0011
b. 0.0022
c. 0.0041
d. 0.0133
Q71. Which of the following is the most effective technique for prioritizing critical
factors foe problemsolving?
a. Venn diagram
b. Scatter diagram
c. Pareto diagram
d. Cause and effect diagram
Q72. The main advantage of a matrix diagram is that it
a. Displays all the possible causes related to a problem
b. Displays the strength of relationship between each paired combination of variables
c. Identifies, analyzes, and classifies the cause and effect relationship that among all
critical issues
d. Identifies a sequence of actions and materials entering a process
Q73. Poka-yake is best defined as
a. Improving machine efficiency
b. Reducing field failures to virtually zero
c. Capturing the voice of the customer
d. Preventing controllable defects

20. Q74. Which of the following describes the 95% confidence interval of a 20% absentee
rate in a department with 30 people?
a. 6% to 34%
b. 8% to 32%
c .13% to 27%
d. 17% to 23%
Q75. Which of the following are needed to calculate the process capability index,Cp?
a. The specification limits and the mean
b. The specification limits and s^ (Sigma Cap)
c. The process mean and s^(Sigma Cap)
d. The upper and lower specification limits
Q76. Repeatability and reproducibility are terms that operationally define
a. Bias
b. Accuracy
c. Discrimination
d. Precision’
Q77. A method that classifies data without significantly reducing accuracy or precision is
known as
a. Bias adjustment
b. Statistical efficiency
c. Blocking
d. Coding
Q78. If a process has a variance of 4 units and a specification of 96+4, what is the
process performance index (Pp)?

21. a .0.33
b. 0.66
c. 1.00
d. 1.50
Q79. If a histogram has a distribution that is bimodal this indicates that the
a. Process is in control
b. Distribution is abnormal
c. Data collected is accurate
d. Data has two points
Q80. Which of the following best describes how an affinity diagram is used?
a. Grasping organizational performance relative to contrasting data
b. Prioritizing data from most signification to least significant
c. Grouping ideas that are created during brainstorming
d. Identifying when a process is in control
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Q81. Warranty claims are classified in which of the following cost of quality groups?
a. Internal failure
b. External failure
c. Appraisal
d. Prevention

22. Q82. At what stage of the problem-solving process would a team most likely use a cause-
effect diagram?
a. Description of the process associated with the problem
b. Definition of the problem and its scope
c. Organization of possible problem causes
d. Collection of data to identify actual causes
Q83. Steel bars are cut to cylindrical shafts by means of a lathe. The diameter and
allowable tolerance of the shaft is 2.00=.001 inch. A control chart is used to monitor the
quality level of the process. Which of the following plots on the control chart might
indicate a problem of wear on the lathe?
a. The diameter of a single shaft above 2.001 inch
b. The diameter of a single shaft below 1.999 inch
c. An Apparent increasing trend in the shaft diameters
d. Erratic in-tolerance or out-of-tolerance diameter measurements
Q84. A sample consists of one or more units of product drawn from a lot or batch on the
basis of
a. Defect of the product
b. Random selection
c. Size of the product
d. When the inspection process was completed
Q85. What is the percent yield for a normally distributed process in which the item
length specification is 5.750=0.004, X is 5.752, and the standard deviation is 0.002?
a. 15.73%
b. 19.15%
c. 47.72%

23. d. 83.99%
Q86. In preparation for construction of a cause and effect diagram, it is important to
a. Plot separate chart for each source
b. Focus only on what makes thing go wrong
c. Record everything people suggest
d. Validate possible root cause
Q87. Which of the following tools should be used a team is generating and prioritizing a
list of options that include highly controversial issues?
a. Brainstorming
b. Affinity diagram
c. Nominal group technique
d. 5 whys
Q88. If a distribution is normal, u=50 s=15, what percentage of data will be less than
30?
a. 59.18%
b. 40.82%
c. 9.18%
d. 1.33%
Q89. A company is receiving an unusually high number of returns from various
customers. The first step in investigating the problem would be to
a. Check the inspection records
b. Establish the correlation of the returns to shipments
c. Brainstorm the potential causes
d. Classify the returns by type and degree of serious

24. Q90. Which of the following is the best definition of a flow chart?
a. A diagram used to structure ideas into useful categories
b. An illustration used to analyze variation in a process
c. A picture used to separate steps of a process in sequential order
d. An analytical tool used to clarify opposing aspects of a desired change
Q91. Which of the following activities would NOT contribute to the effective functioning
of a team?
a. Eliminating unnecessary activities
b. Development team performance measures
c. Defining process in detail
d. Monitoring each member’s performance
Q92. What is the standard deviation of the population below? 10, 4, 16, 12, 8
a. 4.00
b. 4.47
c .16.00
d. 20.00
Q93. Which of the following tools would be most appropriate for collecting data to study
the symptoms of a problem?
a .Check sheet
b. Flow diagram
c. Force-field analysis
d. Activity network diagram
Q94. Which of the following measures is a sufficient statistic for the parameter u?

25. a. Median
b. Mid-range
c. Mean
d. Mode
Q95. Positional, cyclical, and temporal variations are most commonly analyzed in
a. SPC charts
b. Multi-vari charts
c. Cause and effect diagram
d. Run charts
Q96. Which of the following describes the deming method for continuous improvement?
a. Cost of quality analysis
b. Process map
c. Tree Diagram
d. Plan-do-check-act cycle
Q97. in analysis of variance, Which of the following distributions is the basis for
determining whether the variance estimates are all from the same population?
a. Chi square
b. Student’s
c. Normal
d. F
Q98. Which of the following statement best describes the set all value of a random
variable?
a. It is finite.

26. b. It is an interval
c. It can be discrete or continuous.
d. It can be tracked by using control charts or scatter plots.
Q99. Which of the following is the best description of randomization?
a. A technique used to increase the precision of an experiment
b. A means of assuring representative sampling
c. The repetition of an observation or measurement
d. The relationship between two or more variables
Q100. When the order of items is not important, which of the following is the method to
use to determine the number of sets and subsets of items?
a. Combination
b. Permutation
c. Factorization
d. Simulation
Need Answer Sheet of this Question paper, contact
aravind.banakar@gmail.com
www.mbacasestudyanswers.com
ARAVIND – 09901366442 – 09902787224