Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.Home Size. The U.S. Census Bureau publishes information on the sizes of housing units in Current Housing Reports. Independent random samples of single-family detached homes (including mobile homes) in the four U.S. regions yielded the following data on square footage.NortheastMidwestSouthWest31822115159113452130241313546941781163972227892989169121351649158116551982220321491605163920682286336164215651293205815131655At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in median square footage of single-family detached homes among the four U.S. regions?

Name: Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis
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Description: Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.Home Size. The U.S. Census Bureau publishes information on the sizes of housing units in Current Housing R

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Applying the Concepts and Skills
In Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.
Home Size. The U.S. Census Bureau publishes information on the sizes of housing units in Current Housing Reports. Independent random samples of single-family detached homes (including mobile homes) in the four U.S. regions yielded the following data on square footage.

Northeast	Midwest	South	West
3182	2115	1591	1345
2130	2413	1354	694
1781	1639	722	2789
2989	1691	2135	1649
1581	1655	1982	2203
2149	1605	1639	2068
2286	3361	642	1565
1293	2058	1513	1655

At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in median square footage of single-family detached homes among the four U.S. regions?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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