CSSBB Exam Dumps : Certified Six Sigma Black Belt

The correct answer is A. DPMO = DPO × 1,000,000 . In CSSBB, attribute data are discrete counted data such as defects, defectives, pass/fail outcomes, or error counts. For this type of data, process performance is commonly expressed using defects per unit (DPU) , defects per opportunity (DPO) , and defects per million opportunities (DPMO) rather than variable-data capability indices like Cp or Pp . The CSSBB materials distinguish capability indices such as Cp and Pp as formulas for continuous variable data with specification limits, while attribute performance uses defect-based metrics.

Among the listed equations, only DPMO = DPO × 1,000,000 applies to attribute data capability/performance measurement. Option B and option C are variable-data capability formulas based on the spread of a measured continuous characteristic relative to specification limits. Option D is the correlation coefficient formula and is unrelated to capability. Therefore, when the question asks for the equation used to calculate process capability for attribute data , the best CSSBB-aligned answer is A .

This is a chi-square test of independence, used in the Analyze Phase to determine whether two categorical variables are related. The null hypothesis states that the variables are independent, while the alternative hypothesis states that they are dependent. The table shows 6 result categories (M, N, O, P, Q, R) and 2 alternative categories (A, B), so the degrees of freedom are calculated as (rows − 1) × (columns − 1) = (6 − 1) × (2 − 1) = 5. For α = 0.05 and 5 degrees of freedom, the critical chi-square value is 11.07. The test statistic given is χ² = 17.0. Since 17.0 is greater than 11.07, the result falls in the rejection region, so the null hypothesis must be rejected. That means there is sufficient statistical evidence to conclude that the variables are not independent and are therefore dependent. In Six Sigma analysis, this kind of result indicates that category membership in one variable is associated with category membership in the other, which can guide further root-cause investigation and decision-making.

A matrix diagram is used to identify and display relationships between groups of data, factors, functions, or variables. In the CSSBB body of knowledge, matrix diagrams are especially useful when the team needs to understand how one set of items relates to another, such as customer requirements to process steps, causes to effects, departments to responsibilities, or inputs to outputs. The strength and pattern of those relationships can often be shown clearly in matrix form, making the tool valuable in analysis and planning. A tree diagram is used to break a broad objective into smaller and smaller tasks or elements. An interrelationship digraph is used to show cause-and-effect linkages among issues, especially when relationships are complex and directional. A prioritization matrix is used to rank alternatives based on weighted criteria. Since this question asks specifically about identifying relationships between groups of data, the matrix diagram is the best fit. For Black Belts, this tool is helpful when organizing complex information and tracing linkages across categories in a systematic and visual way. Therefore, the correct answer is C, Matrix diagram.

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