i. For the population means, the alternate hypothesis used in the analysis of variance test states thatµ₁=µ₂=µ₃. ii. For an ANOVA test, rejection of the null hypothesis does not identify which populations differ significantly. iii. The null hypothesis for an ANOVA isµ₁-µ₂=µ₃. A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements.

Question

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The alternate hypothesis in ANOVA actually states that at least one population mean is different from the others, not that all means are equal as stated in (i). The null hypothesis (iii) is incorrectly stated; it should state that all means are equal. Statement (ii) is correct because ANOVA can indicate that there is a significant difference among groups, but it does not specify which groups differ.

I for the Population Means, the Alternate Hypothesis Used in the Analysis