Question: Suppose you're faced with a homework problem that asks you to test whether a population mean is larger than 42. You're given this information about the samples \(n=\) \(43, x=43.45, s=9\). The test will use \(\alpha=0.05\).

1. Write the hypotheses that should be tested.
2. Should the 1-Sample \(\mathrm{Z}\) or 1-Sample \(\mathrm{t}\) be used, and why?
3. The p-value given by Minitab is \(P-\) Value = 0.1484. What decision should be made about the null hypothesis? What conclusion can be made about the population mean?

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