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

question 56

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 $\alpha = 0.01$ $$\begin{array} { c c c c } \hline \text { City \#1 } & \text { City \#2 } & \text { City \#3 } & \text { City \#4 } \\\hline 2150 & 1780 & 1530 & 2400 \\1980 & 1540 & 1670 & 2350 \\2000 & 1690 & 1580 & 2600 \\2210 & 1650 & 1750 & 2150 \\1900 & & 1500 & 2000 \\& & 1600 & 2200 \\& & & 2350 \\\hline\end{array}$$

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Definitions:

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Academic training and instruction in religious studies, typically in preparation for clergy roles within various faith traditions.

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A common concern among citizens in the management and affairs of government and society, aiming for the welfare and protection of the general public.

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A movement aimed at reawakening interest in or revitalizing certain beliefs, values, or practices, often within a religious context.

Traditional Gender Norms

Societal beliefs and expectations about appropriate roles, behaviors, activities, and attributes for men and women based on their sex.