Certified Six Sigma Black Belt Exam Free Certified Six Sigma Black Belt MCQ Questions and Answers 2 — Questions and Answers
Question 1: Which statistical test is most appropriate for comparing the means of three or more groups in a Six Sigma project?
- Chi-square test
- One-way ANOVA (Correct answer)
- Paired t-test
- Mann-Whitney U test
Correct answer: One-way ANOVA
One-way ANOVA is used to compare means across three or more independent groups to determine if at least one differs significantly.
Question 2: In a cause-and-effect matrix, what does the correlation score represent?
- The financial impact of each input
- The strength of the relationship between process inputs and key outputs (Correct answer)
- The frequency of defects caused by each input
- The statistical significance of each variable
Correct answer: The strength of the relationship between process inputs and key outputs
The correlation score in a C&E matrix quantifies how strongly each process input affects each prioritized output.
Question 3: What is the primary purpose of a Measurement System Analysis (MSA)?
- To calibrate all measurement instruments
- To quantify the amount of variation contributed by the measurement system (Correct answer)
- To establish control limits for process monitoring
- To validate that products meet customer specifications
Correct answer: To quantify the amount of variation contributed by the measurement system
MSA determines how much of the observed process variation is attributable to the measurement system itself rather than the actual process.
Question 4: A Black Belt discovers that residuals in a regression model show a funnel-shaped pattern when plotted against fitted values. What assumption is violated?
- Normality of residuals
- Independence of residuals
- Constant variance (homoscedasticity) (Correct answer)
- Linearity of the relationship
Correct answer: Constant variance (homoscedasticity)
A funnel-shaped residual pattern indicates heteroscedasticity, meaning the variance of residuals changes across the range of fitted values.
Question 5: Which Lean tool uses a visual board with columns representing workflow stages to limit work-in-progress?
- Value Stream Map
- Kanban (Correct answer)
- 5S
- Poka-yoke
Correct answer: Kanban
Kanban boards visualize workflow stages and enforce WIP limits to improve flow and reduce lead time.
Question 6: What does a Cpk value of 1.33 indicate about a process?
- The process is not capable of meeting specifications
- The process is marginally capable with minimal safety margin
- The process is capable with an acceptable safety margin against specification limits (Correct answer)
- The process is operating at Six Sigma quality levels
Correct answer: The process is capable with an acceptable safety margin against specification limits
A Cpk of 1.33 means the nearest specification limit is four standard deviations from the process mean, indicating good capability with adequate margin.
Certified Six Sigma Black Belt Exam Free Certified Six Sigma Black Belt MCQ Questions and Answers 2
Which statistical test is most appropriate for comparing the means of three or more groups in a Six Sigma project?