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A stockbroker at Critical Securities reported that the mean rate of return on a sample of 12 oil stocks was $2.78 %$ with a standard

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A stockbroker at Critical Securities reported that the mean rate of return on a sample of 12 oil stocks was $2.78 \%$ with a standard deviation of $5.5 \%$. The mean rate of return on a sample of 8 utility stocks was $14.2 \%$ with a standard deviation of $3.3 %$. At the $0.01$ significance level, can we conclude that there is more variation in the oil stocks? $H_{0}: \sigma^{2}{ }_{1}-\sigma^{2}{}_{2} \leq 0$ $H_{1}: \sigma^{2}_{1}-\sigma^{2}_{2}>0$ a. State the decision rule. (Round the final answer to 2 decimal places.) Reject $H_{0} $ when $F>$ b. Compute the value of the test statistic. (Round the final answer to 2 decimal places.) Value of the test statistic S.P.PB. 290

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