The correct answer is B. Current attitude toward proposed change . In the stakeholder-analysis material, the source defines stakeholder analysis as evaluating stakeholder needs and creating a plan to manage stakeholder attitudes . It also provides a stakeholder-mapping example that explicitly includes Current Attitude and Desired Attitude as standard fields in the analysis.

That means a team should not only identify who the stakeholders are, but also assess how each person currently feels about the project and what level of support is needed moving forward. This is important because stakeholder commitment, resistance, and communication needs directly influence project success. The other options may matter in some broader team context, but they are not the common, documented elements of stakeholder analysis shown in the CSSBB-aligned reference. In particular, “honesty” and “project familiarity” are not listed as the core mapping dimensions, while current attitude clearly is. Therefore, the verified answer is B. Current attitude toward proposed change .

The correct answer is B. 0.46 . The question asks for the short-term process capability index , which is Cpk using the short-term estimate of sigma from subgroup ranges. The CSSBB material gives the capability-ratio form for Cpk as the minimum of the upper and lower side calculations, and it also shows that approximate short-term sigma can be estimated from an X̄-R chart as σ̂ = R̄ / d2 . For subgroup size n = 4 , the CSSBB control-chart factors table gives d2 = 2.059 .

So,

σ̂ = 0.6 / 2.059 ≈ 0.291

Now calculate Cpk :

Upper side:

(USL − X̄) / 3σ = (17 − 16.4) / (3 × 0.291) ≈ 0.687

Lower side:

(X̄ − LSL) / 3σ = (16.4 − 16) / (3 × 0.291) ≈ 0.458

Take the minimum:

Cpk ≈ 0.46

This matches option B . Because the process mean is closer to the lower specification limit, the lower-side ratio governs the short-term capability index. Therefore, the verified answer is 0.46 .

The correct answer is D. prevent misunderstandings . In the CSSBB-aligned facilitation material, the facilitator uses ground rules to manage team member behaviors and to ensure both an efficient and effective meeting . Ground rules set expectations for how people will communicate, participate, listen, stay on topic, and handle disagreements. Because those expectations are made explicit in advance, they help reduce confusion and avoid misinterpretation about how the team will work together.

Ground rules are not primarily created to force attendance, determine voting frequency, or decide who is allowed to speak. Instead, they create a shared framework for respectful interaction and decision-making. In Six Sigma teams, this matters because projects often involve cross-functional members with different priorities, communication styles, and assumptions. Without agreed rules, side conversations, interruptions, or unclear behavior norms can quickly create conflict and misunderstanding. By setting clear expectations early, the team improves communication quality and reduces the risk of process and relationship problems during meetings. Therefore, the best CSSBB-based answer is D. prevent misunderstandings .

In DOE terminology, a factor is an input variable that the experimenter deliberately controls or changes to study its effect on a response. For a pie-baking process, cooking time is an input setting and therefore qualifies as a factor. By contrast, flavor, texture, and crust color are typically outputs or response characteristics that result from the chosen factor settings. The CSSBB and related Lean Six Sigma experimental-design materials describe factors as variables adjusted at selected levels, while responses are the measured outcomes used to judge the effect of those settings. For example, time, temperature, ingredient quantity, or oven setting are common factors in a food-processing experiment, whereas quality attributes such as doneness, appearance, and texture are responses. This distinction is fundamental in the Improve Phase because DOE is used to determine which controllable inputs drive desired outputs. A Black Belt must clearly separate Xs from Ys: factors are the Xs and results are the Ys. In this question, cooking time is the only controllable input variable listed, so it is the correct factor in the experiment.

===========

The correct answer is C. Project Champion . In the CSSBB material, champions are typically upper-level managers who control and allocate resources to promote process improvements and Black Belt development. The source states that champions work with Black Belts to ensure management awareness and that they ensure resources are available for training and project completion . This role places the champion in the best position to remove barriers, resolve escalation issues, and clear organizational roadblocks that the project team cannot eliminate on its own.

A project leader manages the day-to-day execution of the work, and a facilitator focuses on team process, communication, and interpersonal effectiveness. The CSSBB source describes facilitators as helping the team stay on track, avoid impasses, and deal with interpersonal difficulties, but not as the primary authority for removing organizational obstacles. Because roadblocks often involve cross-functional support, management backing, or resource decisions, the champion is the role with the authority and influence needed to act. Therefore, from a CSSBB perspective, the person responsible for removing a roadblock in a process improvement project is the Project Champion .

The correct answer is A. Performance variation versus manufacturing cost . In the CSSBB DFSS material, tolerance design is presented as part of robust design and is used after parameter design. The source explains that tolerance specifications are set before going to manufacturing and that the quality loss function is used to determine economical tolerance levels. The CSSBB questions section also notes that at the tolerance stage, the use of more expensive components or processes may be considered.

This shows the central trade-off in tolerance design: tighter tolerances reduce variation in performance and quality loss, but they usually increase manufacturing cost because they demand better materials, tighter control, or more capable processes. If tolerances are too loose, product performance varies more and customer or societal loss rises. If tolerances are too tight, production cost rises sharply. Therefore, tolerance design is fundamentally about balancing performance variation against manufacturing cost to achieve an economically robust design. That makes A the verified CSSBB answer.

PPM means parts per million and is calculated as defectives divided by total units, multiplied by 1,000,000. Since there is one opportunity per unit, the PPM calculation can be applied directly from the table values.

For January:

Facility X = 152 / 15,200 × 1,000,000 = 10,000 PPM

Facility Y = 123 / 12,500 × 1,000,000 = 9,840 PPM

Lower PPM indicates better quality performance, so Facility Y performed better in January.

For February:

Facility X = 161 / 17,000 × 1,000,000 ≈ 9,471 PPM

Facility Y = 141 / 14,000 × 1,000,000 ≈ 10,071 PPM

Again, lower PPM is better, so Facility X performed better in February.

This is a standard Measure Phase and process-performance comparison exercise because Black Belts often normalize defect data into PPM to compare sites with different production volumes. Raw defect counts alone can mislead, but PPM creates a fair basis for comparison. Therefore, the correct answer is D: January, Facility Y; February, Facility X.

The correct answer is D. “Invoices take excessive time to process.” The CSSBB material states that a good problem statement should detail the issue the team wants to improve and be as descriptive as possible , including what measurable item is affected, the business impact, and the performance gap. It also says the statement should be neutral , so the team does not jump to conclusions about the solution.

Option D is the best fit because it describes a measurable process-performance issue: processing time for invoices is excessive. That can be quantified with cycle-time data, baseline measures, and business impact. In contrast, options A and C both imply a solution before analysis has occurred. Saying a division “needs a planning tool” or a process “needs to be automated” is not a neutral statement of the problem; it is a proposed remedy. Option B is also weak because it is vague and not clearly measurable. CSSBB project definition requires the team to state the gap in objective performance terms first, then determine causes and solutions later. Therefore, D is the most effective problem statement.

The correct answer is D. As work instructions for all affected personnel . The CSSBB process-documentation material explains that procedures specify the way to perform an activity and that when a process exists but has not been documented, the procedure should be developed by those responsible for the process. The related process-analysis references also show work instructions as a formal documentation method and include work-instruction flowchart examples.

That is fully consistent with the Control phase, where improvements are sustained by standardizing the new method and making it the official way the work is done. A fishbone diagram is a root-cause tool, a process map is helpful for understanding flow but not sufficient for operational standardization, and SWOT is a strategic planning tool. Once standard work is established, the practical and correct next step is to issue work instructions so all affected personnel perform the process consistently. Therefore, the verified answer is D .

The first step in launching a total productive maintenance program is obtaining management support. TPM requires broad organizational commitment because it affects equipment care, operator involvement, maintenance practices, training, scheduling, and improvement culture. Without management backing, the program is unlikely to receive the resources, authority, visibility, and cross-functional cooperation needed for success. In Lean Six Sigma environments, TPM is more than a maintenance department initiative; it is an enterprise approach to maximizing equipment effectiveness and preventing losses. Management support helps establish expectations, prioritize the effort, remove barriers, and align TPM with production and business goals. Staffing, equipment listing, and benchmarking may all become useful later, but they are not the first enabling step. Black Belts recognize that large-scale improvement programs depend on leadership commitment before tactical details can be implemented effectively. Therefore, the correct answer is A, Obtaining management support for the program, because successful TPM deployment starts with visible organizational sponsorship and endorsement.

===========