SIX SIGMA GREEN BELT COMPREHENSIVE EXAM
2026/2027 QUESTIONS AND SOLUTIONS RATED A+
✔✔A Six Sigma improvement project has reduced the risk associated with a critical
portion of a production process. The project team must now focus on the next highest
priority risk in the process. How can the next highest priority risk be found?
a. Develop a control plan
b. Hold a brainstorming session
c. Perform a failure modes and effects analysis
d. Perform a measurement system capability re-analysis - ✔✔c. Perform a failure
modes and effects analysis
✔✔What is known as "the team stage where the team members start working effectively
as a group to complete tasks"?
a. Forming
b. Performing
c. Storming
d. Norming - ✔✔b. Performing
✔✔Which formula would you use to calculate the value of sigma for use in calculating
Ppk?
a. (USL - X-bar) / 3
b. (USL - LSL) / 6
c. R-bar / d2
d. Square root (Sum (X - X-bar)^2 / (n - 1)) - ✔✔d. Square root (Sum (X - X-bar)^2 / (n -
1))
✔✔A Six Sigma improvement initiative failed to sufficiently improve a process. New
ideas must be generated for continued improvement efforts. Which improvement
method should be employed?
a. Hold a brainstorming session
b. Develop a control plan
c. Perform a measurement system capability re-analysis
d. Perform a failure modes and effects analysis - ✔✔a. Hold a brainstorming session
✔✔Regarding risk analysis and management, how is risk calculated?
a. Risk = (length of the project) x [(probability of event) / (cost of event)]
b. Risk = (cost of event)
c. Risk = [(probability of event) / (length of the project)] x (cost of event)
,d. Risk = (probability of event) x (cost of event) - ✔✔d. Risk = (probability of event) x
(cost of event)
✔✔How are degrees of freedom determined in a 2 mean equal variance t test?
a. The Welch-Satterthwaite equation
b. The ratio between the squares of two samples' standard deviations
c. The total number of measurements minus two
d. The total number of measurements minus one - ✔✔c. The total number of
measurements minus two
✔✔Your manufacturing process uses a special part. This part is delivered to you from
three separate manufacturing plants. Each of the manufacturing plants uses a different
process to build this particular part. Which sampling technique would you use to test the
part before incorporating it into your manufacturing process?
a. Stratified sampling
b. Multiple sampling
c. Sequential sampling
d. Random sampling - ✔✔a. Stratified sampling
✔✔Which tool is used as a form of quality control and is deployed during process
baseline estimation to monitor the variables and parameters occurring within a particular
process?
a. Flow charts
b. Histograms
c. Process maps
d. SPC charts - ✔✔d. SPC charts
✔✔Which option is defined as "the ability to detect the variance of a measurement as
small as one-tenth of the smallest value between the specification for total tolerance or
process range"?
a. Sensitivity
b. Reproducibility
c. Ordinal
d. Calibration - ✔✔a. Sensitivity
✔✔What is known as "all activities involved in bringing a product from the raw material
state to a finished product"?
a. Value stream
b. Perfection
c. Value flow
,d. Pull value - ✔✔a. Value stream
✔✔What is the range for the correlation coefficient r?
a. -2 to 2
b. 0 to 1
c. -1 to 0
d. -1 to 1 - ✔✔d. -1 to 1
✔✔Which method of quantifying measurement errors is the most accurate?
a. Percent Agreement method
b. Range method
c. Average and Range method
d. Analysis of Variance method - ✔✔d. Analysis of Variance method
✔✔What is the purpose of a chi-squared test?
a. To test two sample means for equality when the variance is unknown but assumed to
be equal
b. To compare the observed and expected frequencies of test outcomes
c. To compare a population mean with fixed value when the population follows a normal
distribution
d. To compare three or more population means - ✔✔b. To compare the observed and
expected frequencies of test outcomes
✔✔What is the mechanism by which the capability of a process is identified?
a. Creating rational subgroups
b. Performing process mapping
c. Performing rational sampling
d. Creating flow charts - ✔✔a. Creating rational subgroups
✔✔You are studying the process of producing chicken feed. You want to find out if
making a change to one of the pieces of equipment will change the daily mean output
for that process by 12,000 pounds. Historically, the standard deviation of the daily
production of chicken feed is 36,000 pounds.
Which option represents the minimum sample size required to confirm the significance
of a shift for the mean output that is more than 12,000 pounds at a 95% confidence
level (Z=1.96), assuming a normal distribution?
a. 5
b. 21
c. 35
d. 3 - ✔✔c. 35
, ✔✔When evaluating the cost of poor quality (COPQ), what is an example of an internal
failure cost?
a. Equipment calibration
b. Procedure reviews
c. Restocking costs
d. Excess inventory - ✔✔d. Excess inventory
✔✔Using the critical path method (CPM), how can you determine if an activity is on the
critical path?
a. The activity's earliest and latest times of completion are the same
b. The activity's slack time is less than the time required to complete the activity
c. The activity's latest time of completion is larger than its earliest time of completion
d. The activity's slack time is more than the time required to complete the activity - ✔✔a.
The activity's earliest and latest times of completion are the same
✔✔When an organization begins implementing Six Sigma practices, what is the typical
sequence for the following three events?
A. Design for Six Sigma (DFSS)
B. Training and launch
C. Implementation
a. A, B, C
b. B, C, A
c. A, C, B
d. B, A, C - ✔✔b. B, C, A
✔✔Which tool is used in a Six Sigma process improvement project to identify relevant
elements such as process inputs and outputs before work begins?
a. Process FMEA
b. Kanban
c. Visual factory
d. SIPOC diagram - ✔✔d. SIPOC diagram
✔✔Which project management and planning tool is used to plan for multiple
contingencies and to steer events towards the ultimate, complex goal?
a. Matrix diagrams
b. Interrelation diagraphs
c. Process decision program charts
d. Affinity diagrams - ✔✔c. Process decision program charts
2026/2027 QUESTIONS AND SOLUTIONS RATED A+
✔✔A Six Sigma improvement project has reduced the risk associated with a critical
portion of a production process. The project team must now focus on the next highest
priority risk in the process. How can the next highest priority risk be found?
a. Develop a control plan
b. Hold a brainstorming session
c. Perform a failure modes and effects analysis
d. Perform a measurement system capability re-analysis - ✔✔c. Perform a failure
modes and effects analysis
✔✔What is known as "the team stage where the team members start working effectively
as a group to complete tasks"?
a. Forming
b. Performing
c. Storming
d. Norming - ✔✔b. Performing
✔✔Which formula would you use to calculate the value of sigma for use in calculating
Ppk?
a. (USL - X-bar) / 3
b. (USL - LSL) / 6
c. R-bar / d2
d. Square root (Sum (X - X-bar)^2 / (n - 1)) - ✔✔d. Square root (Sum (X - X-bar)^2 / (n -
1))
✔✔A Six Sigma improvement initiative failed to sufficiently improve a process. New
ideas must be generated for continued improvement efforts. Which improvement
method should be employed?
a. Hold a brainstorming session
b. Develop a control plan
c. Perform a measurement system capability re-analysis
d. Perform a failure modes and effects analysis - ✔✔a. Hold a brainstorming session
✔✔Regarding risk analysis and management, how is risk calculated?
a. Risk = (length of the project) x [(probability of event) / (cost of event)]
b. Risk = (cost of event)
c. Risk = [(probability of event) / (length of the project)] x (cost of event)
,d. Risk = (probability of event) x (cost of event) - ✔✔d. Risk = (probability of event) x
(cost of event)
✔✔How are degrees of freedom determined in a 2 mean equal variance t test?
a. The Welch-Satterthwaite equation
b. The ratio between the squares of two samples' standard deviations
c. The total number of measurements minus two
d. The total number of measurements minus one - ✔✔c. The total number of
measurements minus two
✔✔Your manufacturing process uses a special part. This part is delivered to you from
three separate manufacturing plants. Each of the manufacturing plants uses a different
process to build this particular part. Which sampling technique would you use to test the
part before incorporating it into your manufacturing process?
a. Stratified sampling
b. Multiple sampling
c. Sequential sampling
d. Random sampling - ✔✔a. Stratified sampling
✔✔Which tool is used as a form of quality control and is deployed during process
baseline estimation to monitor the variables and parameters occurring within a particular
process?
a. Flow charts
b. Histograms
c. Process maps
d. SPC charts - ✔✔d. SPC charts
✔✔Which option is defined as "the ability to detect the variance of a measurement as
small as one-tenth of the smallest value between the specification for total tolerance or
process range"?
a. Sensitivity
b. Reproducibility
c. Ordinal
d. Calibration - ✔✔a. Sensitivity
✔✔What is known as "all activities involved in bringing a product from the raw material
state to a finished product"?
a. Value stream
b. Perfection
c. Value flow
,d. Pull value - ✔✔a. Value stream
✔✔What is the range for the correlation coefficient r?
a. -2 to 2
b. 0 to 1
c. -1 to 0
d. -1 to 1 - ✔✔d. -1 to 1
✔✔Which method of quantifying measurement errors is the most accurate?
a. Percent Agreement method
b. Range method
c. Average and Range method
d. Analysis of Variance method - ✔✔d. Analysis of Variance method
✔✔What is the purpose of a chi-squared test?
a. To test two sample means for equality when the variance is unknown but assumed to
be equal
b. To compare the observed and expected frequencies of test outcomes
c. To compare a population mean with fixed value when the population follows a normal
distribution
d. To compare three or more population means - ✔✔b. To compare the observed and
expected frequencies of test outcomes
✔✔What is the mechanism by which the capability of a process is identified?
a. Creating rational subgroups
b. Performing process mapping
c. Performing rational sampling
d. Creating flow charts - ✔✔a. Creating rational subgroups
✔✔You are studying the process of producing chicken feed. You want to find out if
making a change to one of the pieces of equipment will change the daily mean output
for that process by 12,000 pounds. Historically, the standard deviation of the daily
production of chicken feed is 36,000 pounds.
Which option represents the minimum sample size required to confirm the significance
of a shift for the mean output that is more than 12,000 pounds at a 95% confidence
level (Z=1.96), assuming a normal distribution?
a. 5
b. 21
c. 35
d. 3 - ✔✔c. 35
, ✔✔When evaluating the cost of poor quality (COPQ), what is an example of an internal
failure cost?
a. Equipment calibration
b. Procedure reviews
c. Restocking costs
d. Excess inventory - ✔✔d. Excess inventory
✔✔Using the critical path method (CPM), how can you determine if an activity is on the
critical path?
a. The activity's earliest and latest times of completion are the same
b. The activity's slack time is less than the time required to complete the activity
c. The activity's latest time of completion is larger than its earliest time of completion
d. The activity's slack time is more than the time required to complete the activity - ✔✔a.
The activity's earliest and latest times of completion are the same
✔✔When an organization begins implementing Six Sigma practices, what is the typical
sequence for the following three events?
A. Design for Six Sigma (DFSS)
B. Training and launch
C. Implementation
a. A, B, C
b. B, C, A
c. A, C, B
d. B, A, C - ✔✔b. B, C, A
✔✔Which tool is used in a Six Sigma process improvement project to identify relevant
elements such as process inputs and outputs before work begins?
a. Process FMEA
b. Kanban
c. Visual factory
d. SIPOC diagram - ✔✔d. SIPOC diagram
✔✔Which project management and planning tool is used to plan for multiple
contingencies and to steer events towards the ultimate, complex goal?
a. Matrix diagrams
b. Interrelation diagraphs
c. Process decision program charts
d. Affinity diagrams - ✔✔c. Process decision program charts
