Certified Six Sigma Black Belt Exam Trivia 5 — Questions and Answers
Question 1: The concept of 'Takt Time' in lean manufacturing is calculated as:
- Total production time divided by number of workers
- Available production time divided by customer demand rate (Correct answer)
- Cycle time multiplied by number of operations
- Defect rate divided by total units produced
Correct answer: Available production time divided by customer demand rate
Takt time = Available production time ÷ Customer demand rate; it sets the pace of production to match customer demand.
Question 2: Which Six Sigma chart is most appropriate for monitoring the proportion of defective items in large, variable-sized samples?
- X-bar and R chart
- p-chart (Correct answer)
- c-chart
- EWMA chart
Correct answer: p-chart
The p-chart monitors the proportion (fraction) of defective items in samples of varying size, making it appropriate for attribute data with variable subgroup sizes.
Question 3: In the context of Six Sigma, 'rolled throughput yield' (RTY) measures:
- Final yield at the last process step
- Probability that a unit passes through all process steps without any defect (Correct answer)
- Total number of defects divided by total opportunities
- Yield adjusted for rework and scrap costs
Correct answer: Probability that a unit passes through all process steps without any defect
RTY is the product of individual step yields across all process steps — it reflects the true probability of producing a defect-free unit end-to-end without any rework.
Question 4: Which executive at General Electric is most famous for championing Six Sigma in the 1990s and making it a corporate standard?
- Jack Welch (Correct answer)
- Jeff Immelt
- Larry Bossidy
- Bob Galvin
Correct answer: Jack Welch
Jack Welch, GE's CEO from 1981–2001, mandated Six Sigma across all GE businesses in 1995, making it the most visible corporate Six Sigma deployment of the era.
Question 5: A 'fishbone diagram' is also commonly known as which of the following?
- Scatter diagram
- Cause-and-effect diagram (Correct answer)
- Affinity diagram
- Tree diagram
Correct answer: Cause-and-effect diagram
A fishbone diagram is formally called a cause-and-effect diagram (also an Ishikawa diagram), with the 'fishbone' name coming from its branching visual shape.
Question 6: In statistical process control, the 'Western Electric Rules' are used to:
- Calculate control chart limits
- Detect non-random patterns indicating special cause variation (Correct answer)
- Determine minimum sample sizes
- Calibrate measurement equipment
Correct answer: Detect non-random patterns indicating special cause variation
The Western Electric Rules are a set of decision rules applied to control charts to detect non-random patterns that signal special cause (assignable cause) variation beyond just points outside control limits.
Question 7: What does 'COPQ' stand for in Six Sigma financial analysis?
- Cost of Poor Quality (Correct answer)
- Control of Process Quality
- Cycle of Process Quantification
- Cost of Process Quality
Correct answer: Cost of Poor Quality
COPQ — Cost of Poor Quality — quantifies the financial impact of defects, including internal failure costs (scrap, rework), external failure costs (warranties, returns), and appraisal costs.
The concept of 'Takt Time' in lean manufacturing is calculated as: