Six Sigma Green Belt Certification Practice Exam

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Prepare thoroughly for the Six Sigma Green Belt Certification Exam with our comprehensive quiz and study materials. Tackle multiple choice questions designed to deepen your understanding and increase your chances of passing the certification on your first try.

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Which inference test would you use to test if the variances of the two samples are equal?

a. F test
b. 2 mean unequal variance t test
c. 2 mean equal variance t test
d. Paired t test

The correct answer is: a. F test

The inference test that is used to assess whether the variances of two samples are equal is the F test. This statistical test specifically examines the ratio of two sample variances to determine if they come from populations with equal variances. Using an F test, you can derive valuable insights about the homogeneity of variances, which is a key assumption in various parametric tests, including the two-sample t-tests. In contrast, the options related to t-tests focus on comparing means rather than variances. The two mean unequal variance t test deals with situations where the assumption of equal variances cannot be made, thus not being appropriate for testing variance equality. The two mean equal variance t test assumes that variances are equal, making it unsuitable for variance testing itself. The paired t test is designed for comparing means of two related samples, so it does not apply to variance testing either. By utilizing the F test, you ensure a precise examination of variance equality, which is crucial before proceeding with tests that compare means.