Consider the following competing hypotheses and accompanying sample data. Use Table .
| H0: μ1 - μ2 = 5 |
| HA: μ1 - μ2 ≠ 5 |
 = 57 |
 = 43 |
| s1 = 21.5 |
s2 = 15.2 |
| n1 = 22 |
n2 = 18 |
Assume that the populations are normally distributed with unknown but equal variances.
a. Calculate the value of the test statistic.
b. Using the p-value approach, test the above hypotheses at the 5% significance level.
c. Repeat the analysis using the critical value approach.