Chapter 9.4, Problem 25E

Consider the following hypothesis test:

$\begin{array}{l}{H}_0:\mu \ge 45\\ H_{\text{a}}:\mu <45\end{array}$

A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = .01.

1. a. $\bar{x}=44$ and s = 5.2
2. b. $\bar{x}=43$ and s = 4.6
3. c. $\bar{x}=46$ and s = 5.0