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Six Sigma Black Belt Exam Prep

Category - Black Belt

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Machines A and B have been showing disparate efficiency and defects per unit rates despite similar variation in quality at purchase time. If the mean squares between the two machines is 250 and the mean squares from each machine 100, what is the value of the FSTAT?
  1. 0.4
  2. 5.0
  3. 2.5
  4. 4.0
Explanation
Answer: C - The value of the FSTAT is 2.5.

Key Takeaway: The F-statistic (FSTAT ) in ANOVA tests the hypothesis about the means of the two machines. The FSTAT is calculated by dividing the mean squares between the samples and the mean squares from each machine as follows: FSTAT = MSA/MSW = 250/100 = 2.5. In other words, The FSTAT is the ratio of the among estimate of variance and the within estimate of variance.
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