Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers 2

Question 1

In hypothesis testing, what does a Type II error represent?

Accepted Answer

Failing to reject a false null hypothesis

Answer

Rejecting a true null hypothesis

Answer

Accepting the alternative hypothesis correctly

Answer

Rejecting the alternative hypothesis correctly

Question 2

A Black Belt sets alpha at 0.05 and obtains a p-value of 0.03. What is the correct conclusion?

Accepted Answer

Reject the null hypothesis

Answer

Fail to reject the null hypothesis

Answer

Accept the null hypothesis

Answer

The test is inconclusive

Question 3

Which hypothesis test is most appropriate for comparing the means of three or more independent groups?

Accepted Answer

One-way ANOVA

Answer

Paired t-test

Answer

Two-sample t-test

Answer

Chi-square test

Question 4

What is the primary purpose of calculating statistical power in a hypothesis test?

Accepted Answer

To determine the sample size needed

Answer

To calculate the confidence interval width

Answer

To verify data normality

Answer

To measure process capability

Question 5

When conducting a two-proportion test, which assumption must be satisfied?

Accepted Answer

The expected number of successes and failures in each sample should be at least five

Answer

Both samples must come from the same population

Answer

The data must follow a normal distribution exactly

Answer

The two sample sizes must be exactly equal

Question 6

In a paired t-test, what characteristic of the data distinguishes it from an independent two-sample t-test?

Accepted Answer

Each observation in one group is matched to a specific observation in the other group

Answer

The data must be non-normal

Answer

The variances of both groups must be equal

Answer

The sample sizes must differ between groups