Question: Given the following hypothesis test: \(H_{0}: \mu=41.4, H_{1}: \mu \neq 41.4\). You are also given that \(\sigma\) is known and equals 13.4. You performed the test by taking a sample of 60 subjects and finding out that the sample mean, \(\bar{x}\), is 45.1 while the sample standard deviation, \(s\), is 13.4.

1. Find the test statistic.
2. What is the result of the test using a significance level of \(\alpha=0.05 ? \quad\) (10 pts)
3. What is the result of the test using a significance level of \(\alpha=0.01 ? \quad\) (10 pts)

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