Perform the Indicated One-Way ANOVA Test $\alpha = 0.01$

Essay

Perform the indicated one-way ANOVA test. Be sure to do the following: identify the claim and state the null and
alternative hypotheses. Determine the critical value and rejection region. Calculate the test statistic F. Decide to reject
or to fail to reject the null hypothesis and interpret the decision in the context of the original claim. Assume that each
population is normally distributed and that the population variances are equal.
-A realtor wishes to compare the square footage of houses of similar prices in 4 different cities. The data are
listed below. Can the realtor conclude that the mean square footage is the same in all four cities? Use $\alpha = 0.01$ $$\begin{array} { c c c c } \hline \text { City \#1 } & \text { City \#2 } & \text { City \#3 } & \text { City \#4 } \\\hline 2150 & 1780 & 1530 & 2400 \\1980 & 1540 & 1670 & 2350 \\2000 & 1690 & 1580 & 2600 \\2210 & 1650 & 1750 & 2150 \\1900 & & 1500 & 2000 \\& & 1600 & 2200 \\& & & 2350 \\\hline\end{array}$$