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Analyzing the Profitability and Volatility of Stock Returns in Comparison to Market Returns: A Statistical Approach

This assignment focuses on analyzing stock profitability and volatility, using statistical methods to compare stock returns to market returns.

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Analyzing the Profitability and Volatility of Stock Returns in Comparison toMarket Returns: A Statistical ApproachQuestion 1a.Test the null hypothesis that the population mean of your stock return is equal to thatof the market return, against an appropriate alternative hypothesis.b.State the assumptions under which the test is valid.c.Based on the outcome of the test, explain whether your stock is more or less profitablethan the market portfolio; or whether they are equally profitable.Answer 1a.Null Hypothesis, Ho: there is no significant difference between mean of stock return andmarket return.That is u1–u2 = 0Alternative Hypothesis, H1: there is significant difference between mean of stock returnand market return.That is u1–u2 ≠ 0Level of significance is 0.05 which is alphaTest Statistic:()()()()122122211222121111,2mean xmean xtSnnnsnswhere Snn−=+−+−=+−

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