Consider the following competing hypotheses and accompanying sample data. The two populations are known to be normally distributed.
H0: µ1 - µ2 ≤ 0
HA: µ1 - µ2 > 0
1 = 20.2 2 = 17.5
s1 = 21.5 s2 = 15.2
n1 = 22 n2 = 18
a. Implement the test at the 5% level under the assumption that the population variances are unknown but equal.
b. Repeat the analysis at the 10% level.