Question

\begin{tabular}{ccc} Group & Sample Mean & Sum of Squares \\ \hline No Sleep Apnea & 0.59 & 0.3240 \\ \hline Untreated Sleep Apnea & 0.45 & 0.4410 \\ \hline Treated Sleep Apnea & 0.31 & 0.2250 \\ \hline \end{tabular} The researchers conducted an analysis of variance, which generated a significant \( \mathrm{F} \) ratio. The ANOVA summary table is shown below: \begin{tabular}{lcccc} & \multicolumn{4}{c}{ ANOVA Table } \\ \hline \begin{tabular}{l} Source of \\ Variation \end{tabular} & Sum of Squares & Degrees of \\ Freedom & Mean Square & F \\ \hline Between Treatments & 0.4312 & 2 & 0.2156 & 6.53 \\ \hline Within Treatments & 0.9900 & 30 & 0.0330 & \\ \hline Total & 1.4212 & 32 & & \\ \hline \end{tabular} Use Tukey's HSD test with \( \alpha=.01 \) to determine which groups differ significantly from one another. Record your test results in the blanks below.

          \begin{tabular}{ccc} 
Group & Sample Mean & Sum of Squares \\
\hline No Sleep Apnea & 0.59 & 0.3240 \\
\hline Untreated Sleep Apnea & 0.45 & 0.4410 \\
\hline Treated Sleep Apnea & 0.31 & 0.2250 \\
\hline
\end{tabular}

The researchers conducted an analysis of variance, which generated a significant \( \mathrm{F} \) ratio. The ANOVA summary table is shown below:
\begin{tabular}{lcccc} 
& \multicolumn{4}{c}{ ANOVA Table } \\
\hline \begin{tabular}{l} 
Source of \\
Variation
\end{tabular} & Sum of Squares & Degrees of \\
Freedom & Mean Square & F \\
\hline Between Treatments & 0.4312 & 2 & 0.2156 & 6.53 \\
\hline Within Treatments & 0.9900 & 30 & 0.0330 & \\
\hline Total & 1.4212 & 32 & & \\
\hline
\end{tabular}

Use Tukey's HSD test with \( \alpha=.01 \) to determine which groups differ significantly from one another. Record your test results in the blanks below.

Group Sample Mean Sum of Squares

No Sleep Apnea 0.59 0.3240

Untreated Sleep Apnea 0.45 0.4410

Treated Sleep Apnea 0.31 0.2250

The researchers conducted an analysis of variance, which generated a significant F ratio. The ANOVA summary table is shown below:

4c ANOVA Table

Source of

Variation
Sum of Squares Degrees of

Freedom Mean Square F

Between Treatments 0.4312 2 0.2156 6.53

Within Treatments 0.9900 30 0.0330

Total 1.4212 32

Use Tukey's HSD test with α=.01 to determine which groups differ significantly from one another. Record your test results in the blanks below.

Added by Amber P.

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