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True or Fale: A significant ANOVA indicates that all pairs of group means significantly differ.

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Answer:

Explanation:

False.

A significant ANOVA result indicates that there is a significant difference between at least one pair of group means. However, it does not necessarily mean that all pairs of group means significantly differ from each other.

To determine which specific pairs of group means significantly differ from each other, a post-hoc test, such as the Tukey test, may be conducted. The post-hoc test allows for a more detailed analysis of pairwise differences between group means, while controlling for the risk of type I errors associated with multiple comparisons.

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