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

question 24

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 α=0.05\alpha = 0.05  City 1  City 2  City 3  City 4 27402370212029902570213022602940259022802170319028002240219027402490229020902590264023402790224029402840\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}

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Definitions:

Price to Clear

Price to Clear is the market price at which the quantity of goods supplied is equal to the quantity of goods demanded, thereby clearing the market.

Profit Per Unit

The revenue obtained per unit of a product or service sold, minus the cost per unit.

Optimal Output

The level of production that generates the highest possible profit for a firm, taking into account costs and revenue.

Price to Clear

The market price at which the quantity supplied of a good matches the quantity demanded, leading to an equilibrium where there is no surplus or shortage.

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