A Realtor Wishes to Compare the Square Footage of Houses $\alpha = 0.05$

Essay

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 H-test to test whether the square-footage distributions differ for the four different cities. Be sure to specify the null and alternative hypotheses. Use $\alpha = 0.05$ $$\begin{array} { c c c c } \hline \text { City 1 } & \text { City 2 } & \text { City 3 } & \text { City 4 } \\\hline 2740 & 2370 & 2120 & 2990 \\2570 & 2130 & 2260 & 2940 \\2590 & 2280 & 2170 & 3190 \\2800 & 2240 & 2190 & 2740 \\2490 & 2290 & 2090 & 2590 \\2640 & & 2340 & 2790 \\& & 2240 & 2940 \\& & & 2840 \\\hline\end{array}$$