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use the Kruskal - Wallis test.Highway Fuel Consumption

Chapter 13, Problem 8 BSC

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QUESTION:

Problem 8BSC

use the Kruskal - Wallis test.

Highway Fuel Consumption Listed below are highway fuel consumption amounts (mi/gal) for cars categorized by the sizes of small, midsize, and large (from Data Set 14 in Appendix B). Using a 0.05 significance level, test the claim that the three size categories have the same median highway fuel consumption. Does the size of a car appear to affect highway fuel consumption?

Small  28 26 23 24 26 24 25

Midsize 28 31 26 30 28 29 31

Large  34 36 28 40 33 35 26

Questions & Answers

QUESTION:

Problem 8BSC

use the Kruskal - Wallis test.

Highway Fuel Consumption Listed below are highway fuel consumption amounts (mi/gal) for cars categorized by the sizes of small, midsize, and large (from Data Set 14 in Appendix B). Using a 0.05 significance level, test the claim that the three size categories have the same median highway fuel consumption. Does the size of a car appear to affect highway fuel consumption?

Small  28 26 23 24 26 24 25

Midsize 28 31 26 30 28 29 31

Large  34 36 28 40 33 35 26

ANSWER:

Solution 8BSC

The value of the test statics is computed as

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