A college dean believes the average SAT scores for girls exceed the average SAT scores for boys in the United States. The dean doe not know the population standard deviation of SAT scores for boys and...

A college dean believes the average SAT scores for girls exceed the average SAT scores for boys in the United States.  The dean doe not know the population standard deviation of SAT scores for boys and girls.  The following information outlines the information for each example.

Girls

Boys

n₁₌₁₀
n₂₌₂₀

x_{1 =1080}
x₂=1000

s₁=100                        s₂=125

If we figure that the population variances are equal, test the deans claim at the .05 level.