Chapter 9.3, Problem 9E

Consider the following hypothesis test:

$\begin{array}{l}{H}_0:\mu \ge 20\\ H_{\text{a}}:\mu <20\end{array}$

A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.

1. a. Compute the value of the test statistic.
2. b. What is the p-value?
3. c. Using α = .05, what is your conclusion?
4. d. What is the rejection rule using the critical value? What is your conclusion?