Question
Asked Feb 18, 2020
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Using the Kruskal-Wallis Test. In Exercises 5–8, 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 20 “Car Measurements” 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?

26
28
28
31
26
24
Small
25
23
24
29
30
26
31
28
28
35
33
Midsize
40
26
Large
28
36
34
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26 28 28 31 26 24 Small 25 23 24 29 30 26 31 28 28 35 33 Midsize 40 26 Large 28 36 34

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Expert Answer

Step 1

Given info:

The data shows the fuel consumption amounts for cars categorized by size: small, mid-size, and large. The level of significance is 0.05.

Null and alternative hypotheses:

Statistics homework question answer, step 1, image 1

Step 2

Software procedure:

Step-by-step procedure to obtain the P-value using the MINITAB software is as follows:

  • Choose Stat > Nonparametrics > Kruskal-Wallis.
  • In Response, enter the column of Fuel consumption.
  • In Factor, enter the column of
  • Click OK.

Output using the MINITAB software is given below:

Statistics homework question answer, step 2, image 1

The P-value is 0.003.

 

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