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ANOVA: Different Populations and the Null Hypothesis

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A researcher is comparing samples from 6 different populations. Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 6 population means are not all equal. We should expect that

A) At least 1 of the comparisons of means versus would be significant

B) At least 3 of the comparisons of means versus would be significant

C) All 15 of the comparisons of means versus would be significant

D) At least 6 of the comparisons of means versus would be significant

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Solution Summary

The expectations for an ANOVA where the null hypothesis is rejected are discussed.

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