Question: 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

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?

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