Question: Consider the computer output shown below.

1. Can the null hypothesis be rejected at the 0.05 level? Why?
2. Is this a one-sided or a two-sided test?
3. If the hypotheses had been \(H_{0}: \mu_{1}-\mu_{2}=2\) versus \(H_{1}: \mu_{1}-\mu_{2} \neq 2\) would you reject the null hypothesis at the 0.05 level?
4. If the hypotheses had been \(H_{0}: \mu_{1}-\mu_{2}=2\) versus \(H_{1}: \mu_{1}-\mu_{2}<2\) would you reject the null hypothesis at the 0.05 level? Can you answer this question without doing any additional calculations? Why?
5. Use the output and the \(t\) table to find a 95 percent upper confidence bound on the difference in means.
6. What is the \(P\) -value if the hypotheses are \(H_{0}: \mu_{1}-\) \(\mu_{2}=2\) versus \(H_{1}: \mu_{1}-\mu_{2} \neq 2\) ?

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