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APMG LSS Green Belt study materials
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APMG LSS Green Belt practice questions

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Question 1Define

In a Lean Six Sigma project charter, which element defines the measurable improvement the project is expected to deliver and the time frame for achieving it?

  1. The team charter
  2. The problem statement
  3. The goal statement Correct answer.
  4. The business case

Explanation

The goal statement specifies the target metric, the improvement magnitude, and the deadline, giving the team a measurable endpoint. The problem statement describes the current gap, while the business case justifies why the project matters.

Question 2Define

A project team is scoping a Green Belt project and needs to define the boundaries of the process under study. Which tool is specifically designed to show the start point, end point, and major steps of a process at a high level?

  1. SIPOC diagram Correct answer.
  2. Pareto chart
  3. Control chart
  4. Cause-and-effect diagram

Explanation

A SIPOC (Suppliers, Inputs, Process, Outputs, Customers) diagram summarizes a process at a high level and makes its boundaries explicit. It is used in Define to build shared understanding of scope before detailed mapping.

Question 3Define

Which document formally authorizes a Lean Six Sigma project, names the project leader, and grants access to the resources needed to complete it?

  1. Gage R&R study
  2. Value stream map
  3. FMEA
  4. Project charter Correct answer.

Explanation

The project charter is the authorizing document in Define; it establishes the problem, goal, scope, team, and sponsor commitment. It functions much like a contract between the team and the organization.

Question 4Define

A team writes the following: 'Between January and March, the order-entry team averaged 14 rework hours per week, and the target is 4 hours per week by September.' Which charter element does this sentence best represent?

  1. Problem statement Correct answer.
  2. Milestone plan
  3. Business case
  4. Scope statement

Explanation

A well-formed problem statement quantifies the current performance gap, including the metric, baseline, and time period. It states what is wrong and how bad it is without prescribing a solution.

Question 5Define

The role in Lean Six Sigma that removes barriers, provides resources, and champions the project at the leadership level is best described as the:

  1. Green Belt
  2. Project sponsor Correct answer.
  3. Process owner
  4. Master Black Belt

Explanation

The sponsor is the senior leader who authorizes the project, secures resources, and removes organizational obstacles. Process owners and belts execute or support the work but do not carry the same championing accountability.

Question 6Define

Which of the following best describes the purpose of a stakeholder analysis in the Define phase?

  1. To calculate the financial return of the project
  2. To determine the statistical power required for sampling
  3. To select the appropriate control chart for monitoring
  4. To identify who is affected by the project and plan how to engage them Correct answer.

Explanation

Stakeholder analysis identifies individuals and groups affected by or able to influence the project and assesses their interest and influence so engagement can be planned. It supports buy-in and reduces resistance during later phases.

Question 7Define

In a SIPOC diagram, where do customer requirements and specifications typically appear?

  1. In the Suppliers column
  2. In the Inputs column
  3. In the Outputs and Customers columns Correct answer.
  4. In the Process column

Explanation

Customer requirements are tied to the outputs delivered and the customers who receive them, which is why they are captured in those columns. Inputs and suppliers describe what enters the process, not what the customer demands.

Question 8Define

A team wants a visual tool that shows the sequence of activities, decision points, and handoffs that a customer experiences from first contact to final delivery. Which Define-phase tool fits best?

  1. Deployment flowchart
  2. Histogram
  3. Affinity diagram
  4. Detailed process map Correct answer.

Explanation

A detailed process map captures the step-by-step flow, decision points, and handoffs, making complexity and rework visible. It is used in Define and Measure to build a common picture of the current state.

Question 9Define

Which statement best captures the difference between a business case and a problem statement in a charter?

  1. The business case justifies why the project matters, and the problem statement quantifies the gap Correct answer.
  2. The business case lists team members, and the problem statement lists deliverables
  3. The business case defines scope, and the problem statement defines the budget
  4. The business case quantifies the gap, and the problem statement justifies the project

Explanation

The business case links the project to strategic and financial value, while the problem statement documents the measurable current-state gap. Together they explain why the project is worth doing and what it must fix.

Question 10Define

A team is defining the 'voice of the customer' for a help-desk process. Which approach produces structured, prioritized customer requirements usable in Define?

  1. Performing a regression on resolution times
  2. Translating customer interviews into CTQ requirements Correct answer.
  3. Conducting a gemba walk of the service floor
  4. Building a run chart of ticket volumes

Explanation

Voice of the customer work captures needs and then translates them into critical-to-quality requirements that can be measured. This translation is what makes customer input actionable in later phases.

Question 11Define

Which of the following is the most appropriate SMART criterion for a project goal statement?

  1. Improve customer satisfaction significantly by next year
  2. Increase quality awareness across the department
  3. Reduce average call handling time from 9.5 to 7.0 minutes by December 31 Correct answer.
  4. Eliminate all defects in the billing process

Explanation

A SMART goal is specific, measurable, achievable, relevant, and time-bound; the option stating a baseline, target, and date satisfies all five. Vague improvement language lacks measurability and a deadline.

Question 12Define

A project charter states the scope as 'all customer-facing order inquiries handled by the regional service center.' Which element is being defined?

  1. The in-scope boundary of the process Correct answer.
  2. The root cause of the defect
  3. The control plan for the process
  4. The business case for the project

Explanation

Scope statements define what the project will and will not address, including the process, location, and population in scope. Clear boundaries protect the team from scope creep and misalignment.

Question 13Define

A team maps a process and discovers that 60 percent of total lead time comes from waiting between steps. Which Lean concept does this most directly illustrate, and which Define-phase action follows?

  1. Measurement error; perform a Gage R&R
  2. Value-added versus non-value-added activity; target the waits for improvement Correct answer.
  3. Special-cause variation; build a control chart
  4. Process capability; compute Cp and Cpk

Explanation

Waiting is a classic non-value-added activity in Lean thinking, and identifying it in Define helps focus the project on the largest opportunity. The team should frame the goal around reducing that waste.

Question 14Define

Which of the following is the best example of a well-defined critical-to-quality (CTQ) characteristic for a delivery process?

  1. The delivery team works hard
  2. Deliveries should be faster
  3. Percentage of orders delivered within the promised window Correct answer.
  4. Customers seem unhappy with deliveries

Explanation

A CTQ must be measurable and tied to a customer requirement, such as on-time delivery rate. Vague statements cannot be baselined or tracked.

Question 15Define

A Green Belt is asked to lead a project but the charter has no named sponsor and no stated business case. What is the most appropriate response?

  1. Begin data collection and let results justify the project
  2. Proceed and add the business case later during Analyze
  3. Escalate to secure sponsorship and a documented business case before starting Correct answer.
  4. Transfer the project to a Black Belt

Explanation

Without a sponsor and business case, the project lacks authorization and strategic justification, which are core Define deliverables. Escalating ensures the project has the support needed to succeed.

Question 16Define

Which tool would a team use in Define to organize a large, unstructured list of customer complaints into logical themes?

  1. Affinity diagram Correct answer.
  2. Scatter diagram
  3. P-chart
  4. Design of experiments

Explanation

An affinity diagram groups related qualitative items into themes, making a chaotic list usable for prioritization. It is a common Define-phase tool for organizing voice-of-the-customer input.

Question 17Define

A team defines a project to reduce invoice errors. During scoping, they learn that errors originate in a department outside the stated scope. What is the best course of action?

  1. Expand the scope to include the originating department or document it as a constraint Correct answer.
  2. Close the project and start a new one
  3. Change the goal statement to match the current scope
  4. Ignore the finding because it is out of scope

Explanation

Scope should reflect where the problem actually originates; otherwise the team cannot address root causes. The team should either widen the boundary or explicitly document the constraint and its implications.

Question 18Define

Which of the following best defines a 'process owner' in a Lean Six Sigma deployment?

  1. The person accountable for the ongoing performance of a process Correct answer.
  2. The team member who records meeting minutes
  3. The statistician who validates the analysis
  4. The consultant who trains the belts

Explanation

The process owner is accountable for the process's performance before, during, and after the project, and typically accepts the improved process in Control. This accountability distinguishes the role from project or support roles.

Question 19Define

A charter lists the following: 'Reduce order-processing defects from 8% to 2% by Q4.' Which charter element is missing that would make this goal fully actionable?

  1. A target value
  2. A time frame
  3. A baseline measure
  4. The measurement method or definition Correct answer.

Explanation

The goal includes a baseline, target, and deadline, but it does not specify how 'defect' is defined or measured. Without an operational definition, the metric is ambiguous and cannot be reliably tracked.

Question 20Define

Which of the following is a primary output of the Define phase that gates progression to Measure?

  1. A documented control plan
  2. An approved project charter with a clear problem and goal Correct answer.
  3. A validated measurement system
  4. A list of statistically significant factors

Explanation

Define concludes with an approved charter that establishes the problem, goal, scope, team, and business case. This authorization and clarity are prerequisites for collecting meaningful data in Measure.

Question 21Define

A team uses a 'voice of the customer' survey and finds that customers value short wait times more than friendly staff. How should this finding influence the Define phase?

  1. It should replace the problem statement
  2. It should determine the control chart type
  3. It should inform which CTQ characteristics the project prioritizes Correct answer.
  4. It should be ignored because preferences are subjective

Explanation

Customer priorities guide which critical-to-quality characteristics the project should target, focusing improvement where it matters most. This alignment keeps the project customer-driven.

Question 22Define

Which of the following best describes the purpose of a project 'elevator speech' or 'problem statement summary' prepared in Define?

  1. To record the team's meeting schedule
  2. To list the tools that will be used in each phase
  3. To communicate the problem, impact, and goal concisely to stakeholders Correct answer.
  4. To document the statistical analysis plan

Explanation

A concise summary helps the team and stakeholders quickly grasp the problem, its impact, and the intended outcome, building support. It is a communication aid, not a technical plan.

Question 23Define

A team is prioritizing which of several customer complaints to address first. They want a tool that ranks issues by frequency to focus on the 'vital few.' Which tool is most appropriate in Define?

  1. Multi-vari chart
  2. X-bar and R chart
  3. Box plot
  4. Pareto chart Correct answer.

Explanation

A Pareto chart ranks categories by frequency or impact, helping teams identify the few issues that account for most of the problem. This supports focusing the project on high-value opportunities.

Question 24Define

Which statement about the relationship between a project's problem statement and its goal statement is most accurate?

  1. The goal states the current gap, and the problem states the target
  2. Both statements describe the current gap
  3. Both statements describe the target outcome
  4. The problem states the current gap, and the goal states the target outcome Correct answer.

Explanation

The problem statement documents the current undesirable condition and its magnitude, while the goal statement specifies the desired future state and deadline. They form a matched pair of 'where we are' and 'where we need to be.'

Question 25Define

A team is asked to identify all the customers of a process, both internal and external, before mapping the process. In a SIPOC, this information belongs in which column?

  1. Customers Correct answer.
  2. Suppliers
  3. Inputs
  4. Outputs

Explanation

The Customers column lists everyone who receives the process outputs, including internal downstream functions and external end users. Identifying them ensures their requirements are captured.

Question 26Define

A project team is writing a problem statement and wants to avoid implying a cause or a solution. Which wording best meets this standard?

  1. We should automate invoice entry to eliminate the rework that slows the billing cycle.
  2. Invoice rework consumes 14 hours per week because staff lack training on the new ERP module.
  3. The billing department needs a Lean Six Sigma project to fix its invoice problems.
  4. Invoice accuracy is 92 percent, versus a target of 99 percent, based on last quarter's audit data. Correct answer.

Explanation

A well-formed problem statement describes the observed gap, its magnitude, location, and timing without asserting a root cause or prescribing a remedy. Stating the current performance against a target with a data source keeps the statement factual and neutral.

Question 27Define

Which element of a project charter establishes the boundaries of what the team may change and what lies outside its authority?

  1. The scope statement Correct answer.
  2. The team roster
  3. The milestone schedule
  4. The communication plan

Explanation

The scope statement defines the process boundaries, the start and stop points, and what is in and out of the project's remit. It is the charter element that constrains what the team may investigate and change.

Question 28Define

A team is selecting a metric for a Define-phase baseline and wants it to reflect what the customer actually experiences rather than what is convenient to measure internally. Which type of measure does this describe?

  1. A process measure of internal cycle steps
  2. An output or results measure tied to customer needs Correct answer.
  3. A compliance measure of audit findings
  4. An input measure of supplier performance

Explanation

Customer-focused baselines should be built on output or results measures that reflect what the customer receives and values. Input and internal process measures are useful for diagnosis but do not by themselves represent the customer's experience.

Question 29Define

In a Lean Six Sigma deployment, what distinguishes a 'champion' from a 'sponsor' of a project?

  1. The champion and sponsor are the same role under different names
  2. The champion owns the process day to day while the sponsor audits it annually
  3. The champion removes barriers and advocates at senior level while the sponsor authorizes and funds the project Correct answer.
  4. The champion performs the statistical analysis while the sponsor reviews it

Explanation

A champion is a senior leader who advocates for the project, removes organizational barriers, and keeps it visible; a sponsor authorizes the charter, provides resources, and accepts the results. The roles are complementary and may be held by different people.

Question 30Define

A team is building a high-level map that shows a process from supplier inputs through transformation to customer outputs, with only a handful of steps. Which tool matches this description?

  1. A cause-and-effect diagram
  2. A value stream map with time data
  3. A SIPOC diagram Correct answer.
  4. A detailed flowchart with decision diamonds

Explanation

A SIPOC captures Suppliers, Inputs, Process, Outputs, and Customers at a high level, typically with four to seven process steps. It is used early in Define to agree on scope before detailed mapping.

Question 31Define

A team has a charter but no clear picture of who is affected by the process change and how much influence each party has. Which Define-phase activity addresses this gap?

  1. Building a stakeholder map with influence and interest ratings Correct answer.
  2. Calculating process capability indices
  3. Running a design of experiments
  4. Conducting a measurement system analysis

Explanation

Stakeholder mapping identifies the parties affected by or able to affect the project and rates their influence and interest so engagement can be planned. It is a Define-phase activity that precedes change implementation.

Question 32Define

A Green Belt is translating customer statements into measurable requirements. Which sequence best represents that translation?

  1. CTQ characteristic, then need, then driver, then requirement
  2. Requirement, then need, then CTQ characteristic, then driver
  3. Need, then driver, then requirement, then CTQ characteristic Correct answer.
  4. Driver, then CTQ characteristic, then need, then requirement

Explanation

The translation moves from the customer's stated need to the business driver, then to a specific requirement, and finally to a measurable critical-to-quality characteristic. Each step makes the requirement more specific and testable.

Question 33Define

Which of the following best explains why a Define phase should produce a quantified baseline of current performance?

  1. It allows later improvement to be proven against a known starting point Correct answer.
  2. It replaces the need for a control plan
  3. It guarantees that the process is statistically stable
  4. It satisfies the documentation requirements of the quality department

Explanation

A quantified baseline records current performance so that any change can later be compared against it and verified as real improvement. Without a baseline, gains cannot be demonstrated or sustained.

Question 34Define

A team's draft goal statement reads: 'Improve customer satisfaction significantly by next year.' Which deficiency is most serious for a Six Sigma project goal?

  1. It names no process owner
  2. It is too short to be understood
  3. It lacks a measurable target and a defined timeframe Correct answer.
  4. It mentions customer satisfaction rather than cost

Explanation

A usable goal statement needs a specific metric, a numeric target, and a deadline so progress can be judged objectively. 'Significantly' and 'next year' are too vague to measure against.

Question 35Define

A project team is estimating the financial benefit of reducing scrap in a production line. Which approach is most defensible for the business case?

  1. Apply a fixed percentage of total plant revenue as the benefit
  2. Use industry-average scrap rates as the baseline
  3. Estimate savings from the maximum theoretical scrap reduction
  4. Use the actual scrap cost per unit multiplied by the verified reduction volume Correct answer.

Explanation

A defensible benefit estimate uses actual cost data and a verified volume of reduction, so finance can trace and validate the figure. Theoretical maximums and arbitrary percentages are not auditable.

Question 36Define

Which of the following best describes the role of a gate review at the end of the Define phase?

  1. It finalizes the control plan for the improved process
  2. It replaces the charter sign-off process
  3. It certifies individual Belt competency for the organization
  4. It confirms the team has met Define deliverables and authorizes progression to Measure Correct answer.

Explanation

A gate review checks that Define-phase deliverables, such as a charter, baseline, and problem statement, are complete and sound before resources are committed to Measure. It is a decision point for the project, not a personal certification.

Question 37Define

A team is defining the customers of a payroll process. Which classification correctly pairs an internal customer with an external customer?

  1. Internal: the bank; external: the payroll software vendor
  2. Internal: company employees; external: the tax authority Correct answer.
  3. Internal: the payroll software vendor; external: the bank
  4. Internal: the tax authority; external: company employees

Explanation

Employees who receive pay are internal to the organization, while a tax authority outside the company is an external customer of the payroll outputs. Customers are classified by whether they sit inside or outside the organization.

Question 38Define

A team lists many candidate projects and wants a structured way to compare them on benefit, feasibility, and strategic alignment before selecting one. Which Define-phase approach fits best?

  1. A control chart of project cycle time
  2. A weighted prioritization matrix Correct answer.
  3. A Pareto chart of defect types
  4. A failure mode and effects analysis

Explanation

A weighted prioritization matrix scores each candidate against agreed criteria and weights, producing a transparent ranking. It supports selection decisions where multiple factors must be traded off.

Question 39Define

Which statement best explains the relationship between the voice of the customer and the critical-to-quality requirements in a charter?

  1. Voice of the customer data is collected only after CTQs are defined
  2. CTQs are set by engineering independently of what customers say
  3. CTQs and voice of the customer are unrelated inputs to the charter
  4. CTQs translate prioritized customer needs into measurable specifications Correct answer.

Explanation

Critical-to-quality requirements are derived from prioritized customer needs and expressed as measurable specifications the process must meet. The voice of the customer is the source; the CTQ is the operational translation.

Question 40Define

A team is drafting the 'in scope' and 'out of scope' sections of a charter. Which pair of statements is written correctly for those sections?

  1. In scope: the domestic accounts-receivable process; out of scope: the international accounts-receivable process Correct answer.
  2. In scope: the accounts-receivable department; out of scope: the accounts-payable department
  3. In scope: reduce billing errors; out of scope: improve billing accuracy
  4. In scope: all company processes; out of scope: nothing

Explanation

Scope statements should name the process boundaries clearly, with in-scope and out-of-scope items being mutually exclusive and specific. Naming the domestic versus international accounts-receivable process does this precisely.

Question 41Measure

A process produces parts with a specification of 10.0 ± 0.2 mm. A sample of 100 parts has a mean of 10.05 mm and a standard deviation of 0.05 mm. What is the process capability index Cp?

  1. 1.00
  2. 0.67
  3. 1.67
  4. 1.33 Correct answer.

Explanation

Cp equals the specification width divided by six standard deviations: (10.2 − 9.8) / (6 × 0.05) = 0.4 / 0.3 = 1.33. Cp ignores process centering, so only the spread relative to the tolerance matters.

Question 42Measure

Which measure of dispersion is most appropriate for describing the spread of a small sample when the mean is used as the central tendency?

  1. Interquartile range
  2. Median absolute deviation
  3. Range
  4. Sample standard deviation Correct answer.

Explanation

The sample standard deviation is the natural companion to the mean because both are based on squared deviations from that mean. It uses all observations and is the basis for capability indices and control charts.

Question 43Measure

A control chart for subgroup means uses a subgroup size of n = 5. Which relationship correctly describes the standard deviation of the subgroup means relative to the process standard deviation σ?

  1. σ divided by the square root of 5 Correct answer.
  2. σ divided by 5
  3. σ multiplied by 5
  4. σ multiplied by the square root of 5

Explanation

The central limit theorem states that the standard deviation of sample means equals σ divided by the square root of n. For n = 5 this is σ/√5, which is why larger subgroups produce tighter control limits.

Question 44Measure

An X-bar and R chart is being set up with subgroup size n = 4. The average range R-bar is 8.0. Using the constant A2 = 0.729, what is the upper control limit for the X-bar chart when the grand mean is 50.0?

  1. 58.00
  2. 52.92
  3. 55.83 Correct answer.
  4. 50.73

Explanation

The upper control limit for X-bar is the grand mean plus A2 times R-bar: 50.0 + (0.729 × 8.0) = 50.0 + 5.832 = 55.83. A2 incorporates both the subgroup size and the relationship between range and standard deviation.

Question 45Measure

Which statement best describes the difference between accuracy and precision in a measurement system?

  1. Accuracy and precision both describe only the spread of repeated readings
  2. Accuracy applies only to attribute data, while precision applies only to variable data
  3. Accuracy reflects closeness to the true value, while precision reflects closeness of repeated readings to each other Correct answer.
  4. Accuracy reflects repeatability of readings, while precision reflects closeness to the true value

Explanation

Accuracy is about systematic offset (bias) from the reference value, whereas precision is about random variation among repeated measurements. A system can be precise but inaccurate if it is consistently offset.

Question 46Measure

A gauge repeatability and reproducibility study is performed. Repeatability refers to which source of variation?

  1. Variation when the same operator measures the same part repeatedly Correct answer.
  2. Variation due to the gauge not being calibrated to a standard
  3. Variation due to parts differing from one another
  4. Variation between different operators measuring the same part

Explanation

Repeatability is the equipment variation seen when one operator measures the same item multiple times under identical conditions. Reproducibility instead captures the operator-to-operator component.

Question 47Measure

In a Gauge R&R study, the total observed variation is 10.0 units and the gauge variation is 3.0 units. What percentage of total variation is attributable to the gauge?

  1. 9 percent
  2. 3 percent
  3. 70 percent
  4. 30 percent Correct answer.

Explanation

Gauge variation as a percentage of total variation is the ratio of the two standard deviations: 3.0 / 10.0 = 30 percent. This ratio is compared against acceptance thresholds to judge measurement system adequacy.

Question 48Measure

A process has a mean of 50.0, a standard deviation of 2.0, and specification limits of 46.0 and 54.0. What is the process capability index Cpk?

  1. 1.00
  2. 1.33
  3. 0.67 Correct answer.
  4. 0.33

Explanation

Cpk is the smaller of (USL − mean)/(3σ) and (mean − LSL)/(3σ). Here both are (54 − 50)/(6) = 0.67 and (50 − 46)/(6) = 0.67, so Cpk is 0.67.

Question 49Measure

Which condition is required for a process capability index to be meaningful?

  1. The process must produce only attribute data
  2. The sample size must exceed 500 units
  3. The process must be in statistical control Correct answer.
  4. The specification limits must be two-sided

Explanation

Capability indices describe the inherent spread of a stable process, so the process must first be in statistical control. If special causes are present, the calculated index does not represent a predictable distribution.

Question 50Measure

A histogram of 200 measurements is strongly right-skewed. Which pair of statistics best summarizes the center and spread of this distribution?

  1. Mean and interquartile range
  2. Mode and range
  3. Median and interquartile range Correct answer.
  4. Mean and standard deviation

Explanation

For skewed data the median and interquartile range are robust to the long tail and better represent typical values. The mean and standard deviation are pulled toward the tail.