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\begin{center}
{\heada PROJECT 2: \\SAMPLING EXPERIMENTAL DESIGN}\\
{\headb Statistics 401: Spring 2007}\\
{\it Due Wednesday, February 7}
\end{center}
\noindent This project is worth 30 points.  Your grade will be
determined by how well you answer the questions and by the
professionalism and clarity of your write-up.

\begin{enumerate}
\item What's more important, the public's right to know the details of the slaying of
Jason Wright or the fair-trial rights of two former Montana State
University athletes accused of killing him? According to attorneys
for the accused, ``a random phone survey of 401 self-described
eligible jurors" from Gallatin County were asked whether they had
heard of the homicide case (95\% said they had) and whether they
thought the athletes were guilty (37\% said guilty) (Bozeman Daily
Chronicle, October 27, 2006).

\begin{enumerate}

\item Is this an observational study or an experiment?   Explain
why your answer is correct.



\item Identify the sample design that has been used.



\item \label{StratRS} Suppose that the attorney's believe that Gallatin County residents
who had some affiliation with MSU might have different opinions
about the athletes. Give a detailed explanation describing how the
sampling design can be modified to insure that the sample is
representative of both MSU-affiliates and those not affiliated with
MSU.

\item \underbar{Give the name} of the sample design that is
described in (\ref{StratRS}).
\end{enumerate}


\item Much research has purported to prove that owning a pet makes
for a healthier and happier human.  Suppose you want see whether
there is a ``pet effect" on the health of students at MSU.

\begin{enumerate}
\item Describe a sampling design which will gather a sample
representative of the MSU student body.

\item Describe an experimental design to test for the ``pet effect."

\item Be sure to indicate how you will directly control at least \underline{two} extraneous
factors.

\item What role does randomization play in your design?

\item What role does replication play in your design?

\end{enumerate}

\item Do exercise 2.10 on page 37.

\item Do exercise 2.30 on page 42.

\item Do exercise 2.48, page 52.
\begin{enumerate}

\item[(f)] Age of the child is an extraneous variable that can be controlled by blocking.  To answer (f), discuss how
blocking on age can be used in the experiment.  Give the details
regarding this new experiment design and how it ought to be carried
out.

\item[(g)] Give the name of the Experimental Design which you
describe in (f).
\end{enumerate}





\item If one is interested in making an inference from a sample to a population, then
which of the following is most important? (a) random sampling (b)
random assignment

\item If one wishes to make a causal inference (i.e., the explanatory variable
\underline{causes} changes in the response variable), then which of
the following is most important? (a) random sampling (b) random
assignment

\item Describe the conditions under which a cluster random sample
is more efficient than a simple random sample.

\item Describe the conditions under which a systematic random sample is more efficient
than a simple random sample.







\end{enumerate}

\end{document}