Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt MCQ 2 — Questions and Answers
Question 1: Which chart is BEST suited for monitoring the proportion of defective items in samples of varying size?
- p-chart (Correct answer)
- c-chart
- X-bar chart
- u-chart
Correct answer: p-chart
The p-chart tracks the proportion of nonconforming units and accommodates variable sample sizes.
Question 2: In Design of Experiments, what does a 2^(k-p) notation represent?
- Full factorial design with k factors
- Fractional factorial design with k factors and p generators (Correct answer)
- Response surface design
- Taguchi orthogonal array
Correct answer: Fractional factorial design with k factors and p generators
2^(k-p) denotes a fractional factorial where k is the number of factors and p defines the fraction (2^-p).
Question 3: A process has Cp = 1.5 but Cpk = 0.9. What does this indicate?
- The process is not capable and is centered
- The process has adequate spread but is off-center (Correct answer)
- Both indices indicate a capable process
- The process variation exceeds specification limits
Correct answer: The process has adequate spread but is off-center
Cp > Cpk indicates the process has sufficient potential capability but the mean is not centered between specification limits.
Question 4: Which hypothesis test is appropriate when comparing the variances of two independent normal populations?
- t-test
- Chi-square test
- F-test (Levene's or Bartlett's) (Correct answer)
- ANOVA
Correct answer: F-test (Levene's or Bartlett's)
The F-test compares two population variances; Levene's or Bartlett's tests are common implementations.
Question 5: In a SIPOC diagram, what does the 'S' represent?
- Standards
- Suppliers (Correct answer)
- Stakeholders
- Specification
Correct answer: Suppliers
SIPOC stands for Suppliers, Inputs, Process, Outputs, Customers — Suppliers provide the inputs to the process.
Question 6: What is the primary purpose of a Gauge R&R study?
- Evaluate process capability
- Determine if measurement system variation is acceptable relative to process variation (Correct answer)
- Identify root causes of defects
- Establish control limits
Correct answer: Determine if measurement system variation is acceptable relative to process variation
Gauge R&R quantifies repeatability and reproducibility to assess whether the measurement system is adequate.
Question 7: Which DMAIC phase involves piloting solutions and verifying they address the root cause before full deployment?
- Measure
- Analyze
- Improve (Correct answer)
- Control
Correct answer: Improve
The Improve phase is where solutions are developed, piloted, and verified to confirm they effectively address root causes.
Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt MCQ 2
Which chart is BEST suited for monitoring the proportion of defective items in samples of varying size?