Question: Suppose you want to test the claim that \(\mu_{1}>\mu_{2}\). Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that \(\sigma_{1}^{2} \neq \sigma_{2}^{2} .\) At a level of significance of \(\alpha=0.01\), when should you reject \(\mathrm{H}_{0}\) ? \(\mathrm{n}_{1}=18, \mathrm{n}_{2}=13, \overline{\mathrm{x}}_{1}=685, \overline{\mathrm{x}}_{2}=670, \mathrm{~s}_{1}=40, \mathrm{~s}_{2}=25\)

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