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 } &nbsp; \text { Brand 2 }&nbsp; \text { Brand 4 } &nbsp;\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.

-Use the information above and determine an individual 95% confidence interval confidence interval for

\mu _ { 1 } - \mu _ { 2 }

)The mean and sample sizes for brand 1 and brand 2 are as follows:

\bar { x } _ { 1 }

= 2)95,

\bar { x } _ { 2 }

= 2)28,n₁ = 4 and n₂ = 5.
A)2013 to 1.1387
B)2852 to 1.0547
C)-.228 to 1.5680
D)4515 to .8885
E)It cannot be determined with the information given.

Consider the Following Partial Analysis of Variance Table from a Randomized

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