Perform the Indicated Kruskall-Wallis Test $\alpha = 0.05 \text {. }$

question 1

Essay

Perform the indicated Kruskall-Wallis test. Be sure to do the following: Identify the claim mathematically and state the
null and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail
to reject the null hypothesis and interpret the decision in the context of the original claim.
-A realtor wishes to compare the square footage of houses of similar prices in 4 different cities. The data are
listed below. Use the Kruskal-Wallis test to test the claim that there is a difference in the distributions of the
square footages in the 4 different cities. Use $\alpha = 0.05 \text {. }$ $$\begin{array} { c c c c } \hline \text { City 1 } & \text { City } 2 & \text { City 3 } & \text { City 4 } \\\hline 2150 & 1780 & 1530 & 2400 \\1980 & 1540 & 1670 & 2350 \\2000 & 1690 & 1580 & 2600 \\2210 & 1650 & 1600 & 2150 \\1900 & 1700 & 1500 & 2000 \\2050 & & 1750 & 2200 \\& & 1650 & 2350 \\& & & 2250 \\\hline\end{array}$$

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