Six Sigma Green Belt Certification Practice Exam

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Prepare for your Six Sigma Green Belt Certification Exam with confidence. This exam is a critical step in enhancing your career prospects in quality management and process improvement. Tackle interactive questions with hints and explanations and ace your certification!

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

  1. a. F test

  2. b. 2 mean unequal variance t test

  3. c. 2 mean equal variance t test

  4. 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.