Refer to the labor time data in Exercise 7.3. Using the \(90 \%\) confidence interval, based on the \(t\) distribution, for the mean labor time

(a) decide whether or not to reject \(H_{0}: \mu=1.6\) in favor of \(H_{1}: \mu eq 1.6\) at \(\alpha=0.10\);

(b) decide whether or not to reject \(H_{0}: \mu=2.2\) in favor of \(H_{1}: \mu eq 2.2\) at \(\alpha=0.10\).

(c) What is your decision in part

(a) if \(\alpha=0.05\) ? Explain.

Data From Exercise 7.3

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N Mean StDev SE Mean 52 1.86462 1.24992 90% CI 0.17333 (1.57423, 2.15500)