ANOVA Table Post Hoc Analysis
Tukey Simultaneous Comparison T-Values $($

question 147

Multiple Choice

ANOVA table
$\begin{array}{lrrrr}\hline\text { Source } & S S & d f & M S & F &p \text {-value }\\\hline \text { Treatment } & 6.000 & 3 & 1.9998 & 18.85&3.4E-05\\\hline\text { Error } & 1.486 & 14 & 0.1061 & \\\hline\text { Total } & 7.485 & 17 & &\end{array}$
Post hoc analysis
Tukey simultaneous comparison t-values $($ d.f. $=14)$
$\begin{array}{ccccc}&\text { Brand 3 }   \text { Brand 2 }  \text { Brand 4 }  \text { Brand 1 } \\&\quad1.40 \quad 2.28 \quad 2.58 \quad 2.95\\\begin{array}{ll}\text { Brand 3 } & 1.40 \\\text { Brand 2 } & 2.28 \\\text { Brand 4 } & 2.58 \\\text { Brand 1 } & 2.95\end{array}&\begin{array}{|l|l|l|l|}\hline & & & \\\hline 4.27 & & & \\\hline 5.38 & 1.35 & & \\\hline 7.09 & 3.07 & 1.63 &\quad\quad \\\hline\end{array}\end{array}$
The Excel/Mega-Stat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.
-At a significance level of 0.05,we would:

• A)Not be able to reject the null hypothesis of equal treatment group means.
• B)Reject the null hypothesis of equal treatment group means.
• C)Reject or fail to reject depending on the value of the t statistic.
• D)Not be able to decide whether or not to reject the null hypothesis due to insufficient information.
• E)Reject the significance level of the error term.

---

Definitions:

Divine Creator

A supreme being or entity believed to be responsible for the creation of the universe and life within it.

Atheist

A person who does not believe in the existence of any deities or gods.

Physical Challenges

Difficulties related to physical health or mobility, often requiring adaptation or specialized support.

Stereotype

A widely held but fixed and oversimplified image or idea of a particular type of person or thing.