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Assume that you have a sample of $n_{1}=7$, with the sample mean $X?_{1}=42$, and a sample standard deviation of $S_{1}=4$, and you have an independent sample of $n_{2}=4$ from another population with a sample mean of $X?_{2}=39$ and the sample standard deviation $S_{2}=5$. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that $?_{1}>?_{2}$ ? Determine the hypotheses. Choose the correct answer below. A. $H_{0}:?_{1}?=?_{2}$ B. $H_{0}:?_{1}>?_{2}$ $H_{1}:?_{1}=?_{2}$ $H_{1}:?_{1}??_{2}$ c. $H_{0}:?_{1}=?_{2}$ D. $H_{0}??_{1}??_{2}$ $H_{1}:?_{1}?=?_{2}$ $H_{1}:?_{1}>?_{2}$ Find the test statistic. The value of the test statistic $=$ (Round to 4 decimal places as needed.) Find the $p$-value. $p$-value $=$ (Round to four decimal places as needed.) Choose the correct conclusion below. A. Reject $H_{0}$. There is sufficient evidence that $?_{1}>?_{2}$. B. Do not reject $H_{0}$. There is insufficient evidence that $?_{1}>?_{2}$. C. Do not reject $H_{0}$. There is sufficient evidence that $?_{1}>?_{2}$. D. Reject $H_{0}$. There is insufficient evidence that $?_{1}>?_{2}$.

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