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(2) The average annual returns (in percentages) on Brown Small Cap Index Fund (BCSIX) and S&P 500 for the past 10 years are given below:

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(2) The average annual returns (in percentages) on Brown Small Cap Index Fund (BCSIX) and S&P 500 for the past 10 years are given below: BCSIX S&P 500 29.22 31.29 -0.67 -4.45 28.9 21.69 8.34 11.80 8.75 1.34 2.19 13.53 48.98 32.21 17.47 15.84 0.11 2.06 22.56 14.3 Does BCSIX perform significantly better than S&P 500? Please perform all the steps in hypothesis testing (3 Points)

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