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The null and alternative hypotheses for a one way ANOVA test

The null and alternative hypotheses for a one-way ANOVA test are, respectively,

H0: μ1 = μ2 = · · · = μk

Ha: Not all means are equal.

Suppose that, in reality, the null hypothesis is false. Does that mean that no two of the populations have the same mean? If not, what does it mean?

H0: μ1 = μ2 = · · · = μk

Ha: Not all means are equal.

Suppose that, in reality, the null hypothesis is false. Does that mean that no two of the populations have the same mean? If not, what does it mean?

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