a-researcher-wants-to-test-if-the-mean-score-of-group-a-is-greater-than-that-of-

Question

A researcher wants to test if the mean score of group A is greater than that of group B at the α=0.05 \alpha = 0.05  significance level. The populations are normal, independent, and have known standard deviations. Population statistics: σ1=25 \$$sigma_1 = 25$$ , σ2=20 \$$sigma_2 = 20 . $$Sample statistics: xˉ1=82 \bar{x}_1 = 82 , n1=64 $$n_1 = 64$$ ; xˉ2=78 \bar{x}_2 = 78 , n2=49 $$n_2 = 49 . $$What is the result of the hypothesis test?

Accepted Answer

There is insufficient evidence to support the claim that the mean score of group A is greater than that of group B

Answer

There is sufficient evidence to support the claim that the mean score of group A is greater than that of group B