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

Question 1

A Black Belt wants to determine if a new supplier's material thickness differs from the current supplier's specification of 2.5 mm. Which hypothesis test is most appropriate?

Accepted Answer

One-sample t-test

Answer

Two-sample t-test

Answer

Paired t-test

Answer

Chi-square test

Question 2

When conducting a hypothesis test comparing defect rates across three production shifts, which test should be applied?

Accepted Answer

Chi-square test of independence

Answer

One-way ANOVA

Answer

Two-sample t-test

Answer

Paired t-test

Question 3

A team suspects that calibrating equipment before each run reduces measurement variation. They measure variation before and after calibration on the same instruments. Which test applies?

Accepted Answer

Paired t-test

Answer

Two-sample t-test

Answer

One-sample z-test

Answer

F-test for equality of variances

Question 4

In a hypothesis test, a Black Belt obtains a p-value of 0.03 with a significance level of 0.05. What is the correct conclusion?

Accepted Answer

Reject the null hypothesis

Answer

Fail to reject the null hypothesis

Answer

Accept the alternative hypothesis unconditionally

Answer

The test is inconclusive

Question 5

A process improvement team wants to verify whether the variance of fill weights has been reduced after implementing a new filling nozzle. Which test is most appropriate?

Accepted Answer

F-test (or Levene's test)

Answer

Two-sample t-test

Answer

One-sample z-test

Answer

Chi-square goodness-of-fit test

Question 6

A Black Belt increases sample size from 30 to 120 while keeping significance level constant. What is the primary effect on the hypothesis test?

Accepted Answer

Power of the test increases

Answer

Type I error increases

Answer

The p-value automatically decreases

Answer

The significance level changes

A Black Belt wants to determine if a new supplier's material thickness differs from the current supplier's specification of 2.5 mm.Which hypothesis test is most appropriate?

A Black Belt wants to determine if a new supplier's material thickness differs from the current supplier's specification of 2.5 mm.
Which hypothesis test is most appropriate?