

\subsection{\bf Student's $t$ Distribution}
\subsection{\bf for Hypothesis Testing---III}

\begin{slide}
\begin{itemize}
\item The corresponding efficiency/contamination are trivially
calculable from cumulative probability functions of the student's $t$
distribution.

\item As discussed on page~168 of Brandt, this method can be adapted
(use average $\overline{\sigma}$) to test if two sets of measurements
have the same mean

\begin{description}
\item{$\bullet$} (e.g., Set 1: Smokers, Set 2: Non-Smokers)
\end{description}

\vspace*{10pt}
\centerline{\psfig{figure=fig24.phys.ps,clip=true,width=3.75in}}
\vspace*{10pt}

\item Above, we show the regions with $\alpha$ (level of significance)
and $\beta$ (contamination), defined earlier.
\end{itemize}
\end{slide}

