A researcher is comparing samples from 6 different populations. Assume that the

Question

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 Xi versus Xjwould be significant
B) At least 3 of the comparisons of means Xi versus Xjwould be significant
C) All 15 of the comparisons of means Xi versus Xjwould be significant
D) At least 6 of the comparisons of means Xi versus Xjwould be significant

Explanation / Answer

A) If the null hypothesis in an ANOVA test is rejected it means one of the means is different from one of the other means.

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