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Six Sigma Green Belt Exam Prep

Category - Six Sigma Green Belt

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Researchers at a soap production company are interested in the purchasing differences amongst 3 of their products (Product 1, Product 2, and Product 3). They state a null hypothesis that there are no differences between mean sales of the 3 products. The alternate hypothesis is stated as:
  1. H1: Not all µx are the same (where x is a product)
  2. H0: Not all µx are the same (where x is a product)
  3. H1: µ1 = µ2 but not µ3
  4. H0: µ2 = µ3 but not µ1
Explanation
Answer: A - In ANOVA analysis of the 3 soaps, the alternate hypothesis is stated as H1: Not all µx are the same (where x is a product).

Key Takeaway: In ANOVA, the means of three samples are compared. The alternate hypothesis states that not all population means are equal. In this example, the alternate hypothesis is asserting that there are statistically significant differences in the mean sales of the 3 soap products.
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