The table below shows a portion of the returns for Fidelity's Equity Income mutual fund and Vanguard's

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The table below shows a portion of the returns for Fidelity's Equity Income mutual fund and Vanguard's Equity Income mutual fund from 2000 through 2010;

the full data set is on the text website, labeled Fund Comparison.

Year Fidelity Vanguard 2000 3.88 13.57 2001 − 5.02 − 2.34

⋮ ⋮ ⋮

2010 15.13 14.88

a. Specify the com peting hypotheses to determ ine w hether the m edian difference between the returns differs from zero.

b. Calculate the value o f the W ilcoxon signed-rank test statistic T. Assume norm ality o f T.

c. At the 5% significance level, w hat is the decision rule?

d. Does the median difference between the returns differ from zero? Explain.

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