Preliminary Data Analyses Indicate That It Is Reasonable to Consider $\text { Use } \alpha = 0.01 \text {. }$

question 34

Essay

Preliminary data analyses indicate that it is reasonable to consider the assumptions for one-way ANOVA satisfied.Perform the required hypothesis test using the critical-value approach.
-A realtor wishes to compare the square footage of houses in 4 different cities, all of which are priced approximately the same. The data are listed below. Can the realtor conclude that the mean square footage in the four cities are equa $\text { Use } \alpha = 0.01 \text {. }$ $\begin{array}{cccc}\hline \text { City \#1 } & \text { City \#2 } & \text { City \#3 } & \text { City \#4 } \\\hline 2150 & 1780 & 1530 & 2400 \\2210 & 1540 & 1750 & 2350 \\1980 & 1690 & 1580 & 2600 \\2000 & 1650 & 1670 & 2200 \\1900 & & 1500 & 2000 \\& & 1600 & 2150 \\& & & 2350 \\\hline\end{array}$

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Definitions:

Total Lung Capacity (TLC)

The maximum amount of air the lungs can contain, typically measured after a maximal inhalation effort.

Spirometer

An instrument used to measure the volume of air inhaled and exhaled by the lungs, assessing pulmonary function.

Functional Residual Capacity (FRC)

The amount of air left in the lungs following a standard breath out.

Residual Volume (RV)

The volume of air remaining in the lungs after a maximal exhalation, important for keeping the lungs inflated.