The results of sampling independent populations:
Sample 1from population1
- 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 variance are known. Test H0: Population 1 mean -Population 2 mean ≤ 0 at α = 0.05. HA: (population 1 mean -population 2 mean)> 0. This is a one tailed test with upper reject region and positive critical value.