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Question 1. Which of the following best describes the primary purpose of an organization-wide Six Sigma deployment plan? A) To reduce inventory levels across all departments B) To align Six Sigma initiatives with the company’s strategic objectives C) To train every employee as a Black Belt D) To implement a new ERP system Answer: B Explanation: An organization-wide deployment plan ensures that Six Sigma projects support the overall business strategy, focusing resources on initiatives that deliver the greatest strategic value. Question 2. In the context of Six Sigma leadership, which executive role is most directly responsible for sponsoring projects and removing organizational barriers? A) Chief Financial Officer B) Project Champion C) Process Owner D) Human Resources Director Answer: B Explanation: The Project Champion (often a senior executive) provides sponsorship, secures resources, and helps overcome resistance, enabling project success. Question 3. Which tool is most appropriate for identifying and prioritizing stakeholders during the Business Process Management phase? A) SIPOC diagram B) RACI matrix
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C) Control chart D) Pareto analysis Answer: B Explanation: A RACI matrix clarifies who is Responsible, Accountable, Consulted, and Informed, helping to prioritize stakeholder involvement. Question 4. When selecting projects, which financial metric combines the time value of money with expected cash flows? A) Return on Investment (ROI) B) Net Present Value (NPV) C) Payback Period D) Internal Rate of Return (IRR) Answer: B Explanation: NPV discounts future cash flows to present value, allowing comparison of projects with different timelines. Question 5. Which change-management technique focuses on communicating the “why” of a Six Sigma initiative to reduce resistance? A) Force Field Analysis B) Kotter’s 8-Step Model C) ADKAR model D) Stakeholder Mapping Answer: C Explanation: The ADKAR model emphasizes Awareness of the need for change, directly addressing resistance by explaining the rationale.
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C) A statistical model for process variation D) A visual representation of process steps Answer: A Explanation: A CTQ tree translates broad customer requirements into specific, measurable process parameters. Question 9. According to Tuckman’s model, which stage is characterized by high conflict and clarification of roles? A) Forming B) Storming C) Norming D) Performing Answer: B Explanation: The Storming stage involves disagreements as team members assert ideas and negotiate responsibilities. Question 10. Which conflict-resolution technique involves finding a solution that satisfies both parties’ underlying interests? A) Competing B) Avoiding C) Collaborating D) Accommodating Answer: C Explanation: Collaborating seeks win-win outcomes by addressing the root interests of all parties.
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Question 11. In the Measure phase, which type of data is captured as a count of non-conformities per unit? A) Variable data B) Attribute data C) Continuous data D) Discrete time data Answer: B Explanation: Attribute data records occurrences (e.g., defects) rather than measured quantities, suitable for p- or c-charts. Question 12. Which sampling method selects every kth item from a population after a random start? A) Simple random sampling B) Systematic sampling C) Stratified sampling D) Cluster sampling Answer: B Explanation: Systematic sampling involves a fixed interval (k) after a random start, providing a simple yet representative sample. Question 13. What does a high Gage R&R value indicate about a measurement system? A) Excellent repeatability and reproducibility B) Low measurement variation relative to process variation C) Poor measurement consistency, requiring improvement
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Question 16. Which hypothesis testing error occurs when a true null hypothesis is incorrectly rejected? A) Type I error B) Type II error C) Beta error D) Alpha error Answer: A Explanation: A Type I error (α) is a false positive—rejecting a true null hypothesis. Question 17. When comparing the means of three independent groups, which statistical test is most appropriate? A) Two-sample t-test B) One-way ANOVA C) Chi-square test D) Paired t-test Answer: B Explanation: One-way ANOVA assesses whether there are statistically significant differences among three or more group means. Question 18. Which non-parametric test is used to compare medians of two independent samples? A) Mann-Whitney U test B) Kruskal-Wallis test
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C) Wilcoxon signed-rank test D) Friedman test Answer: A Explanation: The Mann-Whitney U test evaluates differences between two independent groups without assuming normality. Question 19. In regression analysis, the coefficient of determination (R²) represents what? A) The slope of the regression line B) The proportion of variance in the dependent variable explained by the model C) The correlation between two variables D) The standard error of estimate Answer: B Explanation: R² quantifies how much of the variation in the response variable is accounted for by the predictor(s). Question 20. Which tool is most suitable for identifying potential failure modes and their effects on a process? A) Fishbone diagram B) Failure Mode and Effects Analysis (FMEA) C) Control chart D) Process Flowchart Answer: B
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B) 9
C) 12
D) 18
Answer: B Explanation: A 3² full factorial requires 3 × 3 = 9 runs. Question 24. Which Lean tool focuses on workplace organization and visual management? A) Kaizen B) 5S C) Poka-Yoke D) SMED Answer: B Explanation: 5S (Sort, Set in order, Shine, Standardize, Sustain) creates an organized, visual workplace. Question 25. The primary goal of SMED (Single Minute Exchange of Die) is to: A) Reduce defect rates to less than one per million B) Decrease setup time to under ten minutes C) Increase inventory turnover D) Standardize work instructions Answer: B
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Explanation: SMED aims to shorten changeover times, ideally to a single digit of minutes, improving flexibility. Question 26. Which error-proofing technique uses a physical or logical device to prevent a specific mistake? A) Kaizen B) Poka-Yoke C) Value Stream Mapping D) Kanban Answer: B Explanation: Poka-Yoke (mistake proofing) incorporates devices that either detect or prevent errors. Question 27. In a decision matrix, which factor typically receives the highest weight? A) Cost B) Implementation time C) Alignment with strategic goals D) Ease of training Answer: C Explanation: Alignment with strategic goals is usually the most critical criterion, receiving the greatest weight in selection decisions. Question 28. Which SPC chart would you use to monitor the proportion of defective units in a batch? A) X-bar chart
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Explanation: A reaction plan defines actions to correct the process when SPC indicates a deviation. Question 31. Total Productive Maintenance (TPM) primarily aims to: A) Reduce product lead time B) Increase equipment availability and performance C) Streamline supply chain logistics D) Improve employee morale through team-building Answer: B Explanation: TPM focuses on proactive maintenance to maximize equipment uptime and reliability. Question 32. Which document formally transfers ownership of a Six Sigma project back to the process owner at closure? A) Project Charter B) Process Flowchart C) Project Closure Report D) Control Plan Answer: C Explanation: The Project Closure Report records results, lessons learned, and formally hands over control to the owner. Question 33. In DFSS, the “House of Quality” is a component of which methodology? A) DMAIC B) DMADV
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C) IDOV
D) Kaizen Answer: B Explanation: The House of Quality is a QFD tool used in the Define stage of DMADV to translate customer needs into design specifications. Question 34. Which DFSS framework includes the phases Identify, Design, Optimize, Verify? A) DMAIC B) DMADV C) IDOV D) PDCA Answer: C Explanation: IDOV (Identify, Design, Optimize, Verify) is a DFSS roadmap for developing new products or processes. Question 35. In the Verify phase of DMADV, which statistical method is most appropriate to confirm that a new process meets specifications? A) Control chart B) Design of Experiments (DOE) validation run C) Process capability analysis (Cp, Cpk) D) Pareto analysis Answer: C Explanation: Process capability analysis quantifies whether the new process can consistently meet specification limits.
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Answer: B Explanation: Stratified sampling ensures each subgroup (stratum) is represented proportionally, improving estimate accuracy. Question 39. In hypothesis testing, a p-value of 0.03 indicates: A) The null hypothesis is true with 97% confidence B) There is a 3% probability of observing the data if the null hypothesis is true C) The alternative hypothesis is false D) Type II error probability is 0. Answer: B Explanation: A p-value of 0.03 means there is a 3% chance of obtaining the observed result (or more extreme) assuming the null hypothesis holds. Question 40. Which of the following is a key advantage of using a fractional factorial design over a full factorial design? A) Ability to estimate all higher-order interactions B) Reduction in the number of experimental runs while still identifying main effects C) Elimination of the need for randomization D) Guarantees statistically significant results Answer: B Explanation: Fractional factorial designs cut down the number of runs, focusing on main effects and selected interactions, saving time and resources.
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Question 41. In Lean, the term “mura” refers to: A) Overproduction B) Unevenness or variability in a process C) Waste due to excess inventory D) Defects Answer: B Explanation: Mura means irregularity or inconsistency, which Lean seeks to eliminate to create smooth flow. Question 42. Which Lean principle directly addresses “muri” (overburden) in a work cell? A) Standardized work B) Continuous flow C) Pull system D) Visual management Answer: A Explanation: Standardized work defines balanced workloads, preventing overburden (muri) of operators or equipment. Question 43. In a process capability histogram, a “long tail” on the right side of the distribution suggests: A) The process mean is centered B) A tendency toward higher values, possibly exceeding the upper specification limit C) Minimal variation
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Question 46. In the Analyze phase, a Pareto chart shows that 80% of defects are caused by 20% of the causes. This observation is an example of: A) The Law of Large Numbers B) The 80/20 rule (Pareto principle) C) Central Limit Theorem D) Little’s Law Answer: B Explanation: The Pareto principle states that a small number of causes often account for the majority of problems. Question 47. Which type of control chart would you select to monitor the number of defects per 1,000 units when defect counts can be more than one per unit? A) p chart B) np chart C) c chart D) u chart Answer: D Explanation: The u chart tracks defects per unit (or per 1,000 units) when multiple defects can occur on a single item. Question 48. In a Kaizen event, the typical duration is: A 1–2 weeks B 3–5 days C 2–4 months
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D 1 year Answer: B Explanation: Kaizen events are rapid, focused improvement activities usually lasting 3–5 days. Question 49. Which of the following best illustrates a “push” production system? A Kanban cards signal downstream demand B Production is based on forecasted demand, not actual orders C Just-in-time delivery from suppliers D Continuous flow with no inventory Answer: B Explanation: A push system manufactures based on forecasts, pushing products through the system regardless of actual demand. Question 50. Which metric is most directly associated with the Lean concept of “flow efficiency”? A Overall Equipment Effectiveness (OEE) B Cycle time divided by value-added time C Inventory turnover ratio D First-pass yield Answer: B Explanation: Flow efficiency = Value-added time / Total cycle time, measuring how much of the total time adds value.
