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.

Year................... Fidelity.................... Vanguard

2000....................... 3.88......................... 13.57

2001......................-5.02......................... -2.34

⋮.............................. ⋮............................... ⋮

2010......................15.13......................... 14.88

a. Specify the competing hypotheses to determine whether the median difference between the returns differs from zero.

b. Calculate the value of the Wilcoxon signed-rank test statistic T. Assume normality of T.

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

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

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