A researcher was interested in comparing rental rates in four different parts of the city. She randomly selected a block from each part of the city. For each block, she collected the rental rates of different neighboring apartments. She then used one-factor ANOVA to analyze her data. The ANOVA table below summarized the results she obtained.
$\begin{array}{lccccc}
\hline \text { Source } & S S & d f & M S & F & \text { Critical Value and Decision } \
\hline \text { Between } & 600 & 3 & 200 & 0.5 & .05 F_{3,25}=2.975 \
\text { Within } & 2600 & 26 & 100 & & \text { Fail to reject } H_{0} \
\text { Total } & 3200 & 30 & & & \
\hline
\end{array}$
a. There are two mistakes in the ANOVA table. Identify the mistakes and correct them.
b. Based on the research design, do you think any assumption of ANOVA may have been violated in this study? If so, what assumption is being violated? What might be the consequences of the violation?

Question

A researcher was interested in comparing rental rates in four different parts of the city. She randomly selected a block from each part of the city. For each block, she collected the rental rates of different neighboring apartments. She then used one-factor ANOVA to analyze her data. The ANOVA table below summarized the results she obtained.
 $\begin{array}{lccccc}
\hline \text { Source } & S S & d f & M S & F & \text { Critical Value and Decision } \
\hline \text { Between } & 600 & 3 & 200 & 0.5 & .05 F_{3,25}=2.975 \
\text { Within } & 2600 & 26 & 100 & & \text { Fail to reject } H_{0} \
\text { Total } & 3200 & 30 & & & \
\hline
\end{array}$ 
a. There are two mistakes in the ANOVA table. Identify the mistakes and correct them.
b. Based on the research design, do you think any assumption of ANOVA may have been violated in this study? If so, what assumption is being violated? What might be the consequences of the violation?

Quizplus · Accepted Answer

The Answer of A researcher was interested in comparing rental rates in four different parts of the city. She randomly selected a block from each part of the city. For each block, she collected the rental rates of different neighboring apartments. She then used one-factor ANOVA to analyze her data. The ANOVA table below summarized the results she obtained.
 $\begin{array}{lccccc}
\hline \text { Source } & S S & d f & M S & F & \text { Critical Value and Decision } \
\hline \text { Between } & 600 & 3 & 200 & 0.5 & .05 F_{3,25}=2.975 \
\text { Within } & 2600 & 26 & 100 & & \text { Fail to reject } H_{0} \
\text { Total } & 3200 & 30 & & & \
\hline
\end{array}$ 
a. There are two mistakes in the ANOVA table. Identify the mistakes and correct them.
b. Based on the research design, do you think any assumption of ANOVA may have been violated in this study? If so, what assumption is being violated? What might be the consequences of the violation?

A Researcher Was Interested in Comparing Rental Rates in Four