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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?

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:**

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:

The *P*-value is 0.003.

...

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