Certified Six Sigma Black Belt Exam General 3

Question 1

A process has a Cpk of 0.75. Which statement best describes this process?

Accepted Answer

The process is incapable and likely producing defects

Answer

A Cpk below 1.0 indicates the process is not capable of consistently meeting specifications, meaning defects are likely being produced.

Question 2

What distinguishes a Special Cause variation from Common Cause variation on a control chart?

Accepted Answer

Special cause appears as non-random patterns or points outside control limits

Answer

Special cause variation is indicated by signals such as points outside control limits, runs, or trends — patterns that are statistically unlikely in a stable process.

Question 3

Which Design of Experiments (DOE) design allows a Black Belt to study main effects and two-factor interactions with a minimum number of runs?

Accepted Answer

Fractional factorial design

Answer

Fractional factorial designs study a carefully selected subset of factor combinations, efficiently estimating main effects and two-factor interactions with fewer runs.

Question 4

In a Gage R&R study, what does 'reproducibility' specifically measure?

Accepted Answer

Variation between different operators measuring the same parts

Answer

Reproducibility captures the variation attributable to different appraisers (operators) measuring the same items under the same conditions.

Question 5

A Black Belt wants to compare the means of three process configurations simultaneously. Which statistical test is most appropriate?

Accepted Answer

One-way ANOVA

Answer

One-way ANOVA tests whether the means of three or more groups are statistically equal, avoiding the inflated Type I error risk of multiple t-tests.

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam General 3