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

A one-sample t-test compares a sample mean against a known or specified population value.

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

A chi-square test of independence evaluates whether categorical outcomes like defect rates differ across multiple groups.

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

A paired t-test is used when comparing two related measurements taken on the same subjects.

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

When the p-value is less than the significance level, the null hypothesis is rejected.

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

An F-test or Levene's test compares variances between two samples to determine if they differ significantly.

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Practice Test

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