The null hypothesis for the Kruskal- Wallis test always states that there is no difference among the means of the populations being tested.

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The Kruskal-Wallis test is a non-parametric test that compares the medians from three or more independent samples to determine if they come from the same distribution. It does not specifically test differences among means.

The Null Hypothesis for the Kruskal- Wallis Test Always States