What is an appropriate alternative hypothesis for an ANOVA t

What is an appropriate alternative hypothesis for an ANOVA test? 1. H1 : At least two of the means are significantly different 2. H1 : 1 = 2 = 3 3. H1 : 1 = 2 = 3 4. H1 : 1 2 3

Solution

It is

OPTION 1: At least two of the means are significantly different.

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Note that it is not option 4 because they need not be all not equal to each other, nor can we say which one is not equal to which. We just want to know if one of the means is different from the others.