A researcher wants to perform either a Kruskal-Wallis test or a one-way ANOVA to compare four population means. Independent samples of sizes 7, 6, 10, and 8 are selected from the four populations. The variable under consideration is normally distributed on each of the four populations and the population standard deviations are equal. Are the assumptions for the one-way ANOVA met? Are the assumptions for the Kruskal-Wallis test met? Which test is preferable? Why?

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The Answer of A researcher wants to perform either a Kruskal-Wallis test or a one-way ANOVA to compare four population means. Independent samples of sizes 7, 6, 10, and 8 are selected from the four populations. The variable under consideration is normally distributed on each of the four populations and the population standard deviations are equal. Are the assumptions for the one-way ANOVA met? Are the assumptions for the Kruskal-Wallis test met? Which test is preferable? Why?

A Researcher Wants to Perform Either a Kruskal-Wallis Test or a One-Way