Certified Six Sigma Black Belt Exam Process Capability Analysis 2

Question 1

Which prerequisite must be verified BEFORE conducting a process capability analysis?

Accepted Answer

The process must be in statistical control

Answer

The dataset must contain at least 200 observations

Answer

The data must follow a Poisson distribution

Answer

Specification limits must be symmetric around a nominal value

Question 2

What does DPMO stand for in the context of Six Sigma process capability?

Accepted Answer

Defects Per Million Opportunities

Answer

Defects Per Manufacturing Operation

Answer

Defective Parts Manufacturing Output

Answer

Defective Products in Monthly Output

Question 3

How many DPMO does a true Six Sigma process produce when accounting for the standard 1.5 sigma long-term shift?

Accepted Answer

3.4

Answer

6.8

Answer

2,700

Answer

66,807

Question 4

Which graphical tool is most appropriate for verifying the normality assumption before performing standard capability analysis?

Accepted Answer

Normal probability plot

Answer

Pareto chart

Answer

Scatter diagram

Answer

Cause-and-effect diagram

Question 5

What happens to the Cpk value when the process mean shifts closer to a specification limit?

Accepted Answer

Cpk decreases because the distance to the nearest limit shrinks

Answer

Cpk increases because the process becomes more efficient

Answer

Cpk remains unchanged since it only reflects spread

Answer

Cpk becomes negative only after the mean exceeds the specification

Question 6

Which capability approach is most appropriate when process data follows a non-normal distribution?

Accepted Answer

Use percentile-based or distribution-specific capability indices

Answer

Apply standard Cp and Cpk with no modification

Answer

Increase the sample size until normality emerges

Answer

Use only control charts without capability indices

Question 7

The Taguchi Capability Index (Cpm) differs from Cpk primarily because it:

Accepted Answer

Penalizes deviation of the process mean from the target value T

Answer

Uses the range instead of standard deviation

Answer

Applies only to bilateral (two-sided) tolerances

Answer

Requires at least 500 data points to be valid