The results of sampling independent populations:

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 HO: (population1 mean - population 2 mean) < 0 at X = 0.05

HA: (population1 mean - population2 mean) > 0. This is a one tailed test with upper reject region and positive critical value