In a one-way ANOVA,if the variability between groups is large compared to the variability within groups,we suspect the null hypothesis of equality of population means to be false.

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This is because the F-statistic, which is the ratio of variability between groups to variability within groups, will be large and result in a small p-value, indicating that the null hypothesis should be rejected.

In a One-Way ANOVA,if the Variability Between Groups Is Large