# Anova test, Kruskai-Wallis test, t-test, and Wilkoxon Rank Sum

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Random samples of populations (in thousands) of U.S. cities in three sections of the country are listed. Is there evidence to conclude a difference in means at the 0.001 level of significance?

Eastern Third Middle Third Western Third

187 217 276

146 478 110

362 277 177

186 113 122

174 128 134

248 150 137

335 198 338

255

A) Solve using a one-way ANOVA test

B) Solve using a Kruskal-Wallis test

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The expert examines Anova test, Kruskai-Wallis test, t-test, and Wilkoxon Rank Sum.

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Random samples of populations (in thousands) of U.S. cities in three sections of the country are listed. Is there evidence to conclude a difference in means at the 0.001 level of significance?

Eastern Third Middle Third Western Third

187 217 276

146 478 110

362 277 177

186 113 122

174 128 134

248 150 137

335 198 338

255

A) Solve using a one-way ANOVA test

B) Solve using a Kruskal-Wallis test

Solution:

A) ANOVA Analysis:

Null Hypothesis: All the three sections have the same mean population.

Alternate Hypothesis: At least one of the sections has a different mean population.

ANOVA: Single Factor

SUMMARY

Groups Count Sum Average Variance

Eastern Third 7 1638 234 7106.33

Middle ...

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