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:

Hawthorne Effect

A phenomenon where individuals modify an aspect of their behavior in response to their awareness of being observed.

Manager

A person responsible for controlling or administering an organization or group of staff.

Human Relations

The field of study that examines how communication and relationships between individuals and groups affect organizational behavior and performance.

Productivity

The efficiency with which an organization or individual converts inputs into outputs, often measured as the amount of goods or services produced per unit of input.