If the null hypothesis in a one-way analysis of variance is false, then the variance among the sample means is larger than the variation within samples.

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When the null hypothesis in a one-way ANOVA is false, it implies that there is at least one group mean that is significantly different from the others, leading to greater variance among the sample means compared to the variance within each of the samples.

If the Null Hypothesis in a One-Way Analysis of Variance