Question: To test \(\mathrm{H}_{0}: \mu=100\) versus \(\mathrm{H}_{1}: \mu \neq 100\), a simple random sample size of \(\mathrm{n}=25\) is obtained from a population that is known to be normally distributed.

1. If \(\bar{x}=104.6\) and \(s=8.6\), compute the test statistic.
2. If the researcher decides to test this hypothesis at the \(\alpha=0.01\) level of significance, determine the critical values.

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