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Test the Hypothesis That μ1>μ2\mu _ { 1 } > \mu _ { 2 }

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Test the hypothesis that μ1>μ2\mu _ { 1 } > \mu _ { 2 } . Two samples are randomly selected from each population. The sample statistics are given below. Use α=0.01\alpha = 0.01 .
n1=100n2=125x1=520x2=505 s1=45 s2=25\begin{array} { l l } \mathrm { n } _ { 1 } = 100 & \mathrm { n } _ { 2 } = 125 \\\overline { \mathrm { x } } 1 = 520 & \overline { \mathrm { x } } 2 = 505 \\\mathrm {~s} _ { 1 } = 45 & \mathrm {~s} _ { 2 } = 25\end{array}


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