One Common Method of Evaluating the Performance of a Mutual

Essay

One common method of evaluating the performance of a mutual fund is to compare its returns to those of a recognized benchmark such as an index of the returns on all securities of the type that the fund accumulates. The Janus Worldwide Fund considers its benchmark to be the MSCI World IndexSM. The table below depicts the annual returns (percent) for a recent ten-year period. Is this fund a good investment? That is, does this fund significantly outperform its benchmark?

$\begin{array}{|c|r|r|}\hline &\text { Janus }&\text { MSCI } \\\text {Year }&\text { Worldwide } &\text { Index } \\\hline \mathbf{2 0 0 3} & 24.23 & 33.11 \\\hline \mathbf{2 0 0 4} & 5.53 & 14.72 \\\hline\mathbf{2 0 0 5} & 5.76 & 9.49 \\\hline \mathbf{2 0 0 6} & 17.84 & 20.07 \\\hline \mathbf{2 0 0 7} & 9.18 & 9.04 \\\hline \mathbf{2 0 0 8}& -45.04 & -40.71 \\\hline \mathbf{2 0 0 9} & 37.49 & 29.99 \\\hline \mathbf{2 0 1 0} & 17.00 & 11.76 \\\hline \mathbf{2 0 1 1} & -13.95 & -5.54 \\\hline \mathbf{2 0 1 2} & 19.64 & 15.83 \\\hline\end{array}$

-Explain clearly whether this data should be analyzed using a 2-sample t test approach or a match pairs t-test method.