Question 19
$H_0: \mu = 25$
$H_a: \mu \neq 25$
$\bar{x} = 28.1, n = 55, \sigma = 8.47, \alpha = .01$
a. Use the data given to test the following hypotheses. (Round your answer to 2 decimal places, eg. 15.25.)
The value of the test statistic is
and we
b. Use the p-value to reach a statistical conclusion. (Round your answer to 4 decimal places, e.g. 0.1254.)
Since the p-value of
is
than $\alpha/2 = .005$, the decision is to:
c. Using the critical value method, what are the critical sample mean values? (Round your answer to 3 decimal places, eg. 15.254)
Critical mean values:
Upper value:
Lower value:
Appendix A Statistical Tables
