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 variance are known. Test H0: (population 1 mean - population 2 mean) 0 at = 0.05. HA: (population 1 mean - population 2 mean) > 0. This is a one-tailed test with upper reject region and positive critical value.

Answer 1 Pvalue 0.9938. H0 not rejected. Conclude difference of means 0 is plausible

Answer 2 Pvalue 0.0124. H0 rejected. Conclude difference of means > 0.

Answer 3 Pvalue0.0062. H0 rejected. Conclude difference of means > 0.

Which answer is correct?