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{\bf Nonparametric Statistics Homework VI.}\\
Due date: December 10 2:30pm. $1\%$/hour deduction afterward.
Worth $5\%$ of your final grade.\\
\begin{enumerate}


\item Henry Cavendish in 1798 measured the density of the earth
and reported it as a multiple of the density of water. Estimate
the probability density of the measurements. What is the expected
density of the earth? Test if the the density of earth is 5.46.
What is the P-value? Use {\em wavelet methods} for all your
computations. Compare your result with the result from kernel methods. 
The data file is at
http://www.stat.wisc.edu/$\sim$mchung/teaching/data/earth.data.

\item Using the Cavendish data, come up with an idea of estimating the
probability density of the measurements using {\em spline methods}. Answer the
questions posed in Problem 1. 
\end{enumerate}
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