Certified Six Sigma Black Belt Exam Practice 2

Question 1

A Black Belt is analyzing a process with a mean of 50 and standard deviation of 5. If the USL is 65 and LSL is 35, what is the process Cpk?

Accepted Answer

1.00

Answer

Cpk = min((USL-mean)/3σ, (mean-LSL)/3σ) = min(15/15, 15/15) = 1.00.

Question 2

During a DMAIC project, a team discovers that a key input variable accounts for 78% of output variation. This finding most likely comes from which tool?

Accepted Answer

Regression analysis

Answer

Regression analysis quantifies the proportion of variance in the output explained by input variables (R²).

Question 3

A process produces 3.4 defects per million opportunities. This corresponds to which sigma level?

Accepted Answer

6σ

Answer

Six Sigma quality is defined as 3.4 DPMO, accounting for a 1.5σ long-term shift.

Question 4

Which type of hypothesis test would you use to compare the means of three or more independent groups simultaneously?

Accepted Answer

One-way ANOVA

Answer

One-way ANOVA tests whether the means of three or more groups are statistically equal.

Question 5

In a full factorial DOE with 3 factors each at 2 levels, how many experimental runs are required (without replication)?

Accepted Answer

8

Answer

A 2³ full factorial design requires 2³ = 8 runs.

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Practice 2