Chapter 9.4, Problem 23E

Consider the following hypothesis test:

$\begin{array}{l}{H}_0:\mu \le 12\\ H_{\text{a}}:\mu >12\end{array}$

A sample of 25 provided a sample mean $\bar{x}=14$ and a sample standard deviation s = 4.32.

1. a. Compute the value of the test statistic.
2. b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
3. c. At α = .05, what is your conclusion?
4. d. What is the rejection rule using the critical value? What is your conclusion?