Certified Six Sigma Black Belt Exam FREE Certified Six Sigma Black Belt Assessment Questions and Answers 2 — Questions and Answers
Question 1: A Six Sigma Black Belt notices that a process capability index (Cpk) is 1.0 while Cp is 1.5. What does this indicate?
- The process is centered within specification limits
- The process mean has shifted away from the target (Correct answer)
- The specification limits are too wide
- The sample size is insufficient
Correct answer: The process mean has shifted away from the target
When Cpk is significantly lower than Cp, it indicates the process mean has shifted away from the center of the specification limits.
Question 2: During the Analyze phase of DMAIC, which tool is most appropriate for identifying the vital few causes from the trivial many?
- Control chart
- Pareto chart (Correct answer)
- Scatter diagram
- Histogram
Correct answer: Pareto chart
A Pareto chart applies the 80/20 rule to separate the vital few causes that account for most of the effect from the trivial many.
Question 3: What is the primary purpose of a Measurement System Analysis (MSA) in a Six Sigma project?
- To calibrate all measurement instruments
- To quantify the amount of variation introduced by the measurement system (Correct answer)
- To establish new measurement standards
- To train operators on proper measurement techniques
Correct answer: To quantify the amount of variation introduced by the measurement system
MSA quantifies variation attributable to the measurement system itself, ensuring observed data reflects true process variation rather than measurement error.
Question 4: A Black Belt is using Design of Experiments (DOE) and wants to study 5 factors in the fewest runs possible while accepting that some interactions will be confounded. Which design is most appropriate?
- Full factorial design
- Fractional factorial design (Correct answer)
- Central composite design
- Plackett-Burman design
Correct answer: Fractional factorial design
A fractional factorial design reduces the number of experimental runs by intentionally confounding higher-order interactions with main effects or lower-order interactions.
Question 5: In hypothesis testing, a Black Belt sets alpha at 0.05 and obtains a p-value of 0.03. The actual reality is that the null hypothesis is true. What type of error has occurred?
- Type I error (Correct answer)
- Type II error
- No error has occurred
- Measurement error
Correct answer: Type I error
Rejecting a true null hypothesis is a Type I error, which occurred here because the p-value fell below alpha despite the null being true.
Question 6: Which of the following best describes the purpose of a SIPOC diagram in the Define phase?
- To map every process step in detail
- To provide a high-level view of the process scope including suppliers, inputs, process, outputs, and customers (Correct answer)
- To identify root causes of defects
- To establish statistical control limits
Correct answer: To provide a high-level view of the process scope including suppliers, inputs, process, outputs, and customers
A SIPOC diagram provides a high-level overview of the process boundaries and key elements to align the project team on scope during the Define phase.
A Six Sigma Black Belt notices that a process capability index (Cpk) is 1.0 while Cp is 1.5.
What does this indicate?