Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. H0: 1

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations.

H0: µ1 - µ2 ≤ 0

HA: µ1 - µ2 > 0

1 = 249
2 = 272

s1 = 35 s2 = 23

n1 = 10 n2 = 10

a. Implement the test at the 5% level under the assumption that the population variances are unknown but equal.

b. Implement the test at the 5% level under the assumption that the population variances are unknown and are not equal.