Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers 3

Question 1

What effect does increasing the sample size have on the power of a hypothesis test, assuming all other factors remain constant?

Accepted Answer

Power increases

Answer

Increasing the sample size reduces the standard error, making it easier to detect a true effect and thereby increasing statistical power.

Question 2

A Black Belt uses a chi-square test of independence. What type of data is this test designed to analyze?

Accepted Answer

Categorical data in a contingency table

Answer

The chi-square test of independence evaluates whether two categorical variables are associated by analyzing observed versus expected frequencies in a contingency table.

Question 3

Which non-parametric test is the appropriate alternative to the one-sample t-test when the normality assumption is violated?

Accepted Answer

Wilcoxon signed-rank test

Answer

The Wilcoxon signed-rank test is the non-parametric equivalent of the one-sample t-test, used when the data cannot be assumed to follow a normal distribution.

Question 4

What does the confidence level of 95% mean in the context of hypothesis testing?

Accepted Answer

If the study were repeated many times, 95% of the intervals would contain the true parameter

Answer

A 95% confidence level means that in repeated sampling, approximately 95% of the constructed intervals would capture the true population parameter.

Question 5

When should a Black Belt use a one-tailed test instead of a two-tailed test?

Accepted Answer

When there is a specific directional hypothesis supported by prior knowledge

Answer

A one-tailed test is appropriate when there is a strong theoretical or practical reason to test for an effect in only one specific direction.

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers 3