Consider the following competing hypotheses and accompanying sample data. H0: 1 - 2 = 0 HA: 1

Question:

Consider the following competing hypotheses and accompanying sample data.
H0: µ1 - µ2 = 0
HA: µ1 - µ2 ≠ 0
1 = 57 2 = 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.