Question: For the following independent random samples. use the \(z\)-test and the \(0.01\) level of significance in testing : \[ \begin{array}{rlr} H_{0}: \mu_{1}=\mu_{2} \text { versus } H_{1}: \mu_{1} \neq \mu_{2} & \\ \bar{x}_{1}=33.5 & s_{1}=6.4 & n_{1}=31 \\ \bar{x}_{2}=27.6 & s_{2}=2.7 & n_{2}=30 \end{array} \]

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