Question: How productive are employees? One way to answer this question is to study annual company profits per employee. Let \(x_{1}\) represent annual profits per employee in computer stores in St. Louis. A random sample of \(n_{1}=11\) computer stores gave a sample mean of \(\bar{x}_{1}=25.2\) thousand dollars profit per employee with sample standard deviation \(s_{1}=8.4\) thousand dollars. Another random sample of \(n_{2}=9\) building supply stores in St. Louis gave a sample mean \(\bar{x}_{2}=19.9\) thousand dollars per employee with sample standard deviation \(s_{2}=7.6\) thousand dollars. Does this indicate that in St. Louis, computer stores tend to have higher mean profits per employee? Use \(\alpha=0.01\)

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