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use the Kruskal - Wallis test. Highway Fuel Consumption

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 8BSC Chapter 13.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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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

Step-by-Step Solution:

Solution 8BSC Step 1 Kruskal-Wallis test satisfies the following two requirements. 1. Sample data must be independent and drawn according to simple random sampling. 2. Each sample must contain minimum of five entries. By using the data from exercise, we see that the samples are drawn at random, where the three samples are independent to each other. Hence the first requirement is satisfied. Now, we see that the sample size of Small is 7, sample size of Midsize is 7 and sample size of Large is 7. Hence the second requirement is satisfied. Therefore, the two requirements of Kruskal-Wallis test are satisfied.

Step 2 of 3

Chapter 13.5, Problem 8BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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use the Kruskal - Wallis test. Highway Fuel Consumption