The results of sampling independent populations:

sample 1 from population 1

• mean 80
• population variance 3
• sample size 25

sample 2 from population 2

• mean 81
• population variance 2
• sample size 50

Note that the population variances are known. Test H0: (population1 mean - population2 mean) 0 at = 0.05. HA: (population1 mean - population2 mean) > 0. This is a one-tailed test with upper reject region and positive critical value.