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13. 10 pts. The following are the math SAT scores of 15 high school seniors from three different high schools. Apply the Kruskal-Wallis test to determine whether there is a difference in SAT scores between the three high schools using a 0.05: . School 1: 498, 582, 527, 480, 549 . School 2: 435, 360, 372, 413, 512 . School 3: 608, 515, 661, 637, 554

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The kruskal-wallis test is performed when the assumptions of one-way anova are not met.(Here the assumptions of normality and homoscedasticity are not met). It is an alternative to one way anova in non-parametric setup. By non-parametric we mean that the sample data provided is not drawn ftom a particular distribution.

The test is performed as follows:-

6we ne ct the Null hypothesi hene * enough evidence that thene I C fference of SA T scone btween he 3 highs hool 01 .

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