The following table shows the annual returns (in percent) for Fidelitys Select Electronic and Select Utilities mutual

The following table shows the annual returns (in percent) for Fidelity’s Select Electronic and Select Utilities mutual funds. The data set, labeled Electronic_Utilities, can also be found on the text website.

a. Set up the hypotheses to test the claim that the mean return for the Electronic mutual fund differs from the mean return for the Utilities mutual fund.

b. Using the appropriate commands in Excel, find the value of the test statistic. What is the p -value?

c. At the 5% significance level, do the mean returns differ?

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Utilities 21.89 -30.40 26.42 24.22 9.36 30.08 18.13 36.00 14.39 Electronic Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 14.23 50.54 71.89 -9.81 15.75 0.30 4.67 49.87 84.99