In the CSSBB body of knowledge, the tree diagram is the tool used to break a broad objective into progressively smaller, actionable elements. The CSSBB instructor material defines the tree diagram as a systematic method to outline all the details needed to complete a given objective and specifically notes that it can be used to outline the steps to implement a project. That directly matches the wording of this question. A strategic objective usually starts at a high level, and a Black Belt must translate that objective into deployable tasks, sub-tasks, and logical means for execution. The tree diagram supports this top-down decomposition by showing goals, means, and lower-level actions in an orderly structure. By contrast, an affinity diagram is primarily for organizing ideas into natural groupings, an interrelationship digraph is for identifying causal relationships among issues, and a Pareto chart is for prioritizing the vital few categories by frequency or impact. None of those tools is primarily intended for detailed task breakdown. Therefore, the verified CSSBB answer is Tree diagram.

The sponsor is responsible for reviewing and approving changes to a Six Sigma project charter because the sponsor owns the business commitment behind the project. In the Define Phase, the charter serves as the formal agreement on the project's purpose, business case, scope, goals, and expected impact. Any significant change to those elements can affect resources, timing, priorities, and alignment with organizational objectives.
Since the sponsor authorizes the project and provides the organizational backing needed for its success, that role must also approve any major charter revision. Team members and the team leader may recommend changes based on what they learn during project execution, and a facilitator may help structure the discussion, but they do not normally hold authority to approve charter modifications. In Black Belt practice, this governance is important because uncontrolled charter changes can lead to scope creep, confusion, and weakened accountability. Therefore, the correct answer is C, Sponsor, because that role has the responsibility and authority to confirm that any change remains aligned with the project's intended business purpose.

The correct answer is C. 0.67. The CSSBB source defines the Cpm index as the Taguchi-based capability index that includes both process variation and the distance of the process mean from the target. It is given by:
Cpm = (USL # LSL) / [6 × #(#² + (# # T)²)]
From the question:
USL = 510, LSL = 490, so USL # LSL = 20
# = 4
# = 503
T = 500
Now compute:
# ² + ( # # T)² = 4² + (503 # 500)² = 16 + 9 = 25
#25 = 5
Denominator = 6 × 5 = 30
So:
Cpm = 20 / 30 = 0.667
Rounded to two decimal places, this is 0.67, which matches option C. The CSSBB material notes that Cpm places more emphasis on how well the process is centered on the target, not just on spread within specifications. Since this process is off target by 3 units, the Cpm is reduced accordingly. Therefore, the verified answer is C.

The correct answer is D. Facilitator . In the CSSBB team-management material, the trained facilitator is identified as a key team leadership option, and the facilitator's role is strongly associated with guiding team interactions, maintaining productive discussion, and helping the group function effectively. The CSSBB source states that a skilled facilitator should intervene when progress ceases , which directly supports the facilitator's responsibility for managing difficult group dynamics and helping the team work through conflict.
The organizational roles section also shows that a trained facilitator may serve in the team leader role, reinforcing the facilitator's central responsibility for team process and effectiveness.
Champions and sponsors typically provide resources, organizational support, and strategic alignment rather than handling day-to-day interpersonal conflict within the team. A Green Belt may contribute as a team member or project participant, but is not normally the primary person responsible for conflict resolution.
Since team conflict is a group-process issue, the facilitator is best positioned to guide communication, keep discussions constructive, and help the team return to progress. Therefore, the CSSBB-aligned answer is D.
Facilitator .

The correct answer is A. develop a design of the revised process . The team has already completed the understanding and diagnosis portion: it mapped the process, analyzed the data, and agreed on the flaws in the current process. The CSSBB supplemental DMAIC overview states that after process mapping and identifying potential causes in Measure, the team moves through Analyze to verify critical factors, and then in Improve the process output is improved by addressing those factors and testing improvements.
That means the next logical step is to design the revised process , not to collect more data on the already verified current state. Error-proofing may become part of the revised design later, but it is not the immediate next step after agreeing on the flaws. Reporting to management may be needed eventually, but first the team needs a well-developed proposed future-state process. Therefore, consistent with CSSBB improvement flow, the next step is to develop a design of the revised process , making A the best answer.