
Statistics Problems
Do athletes in different sports vary in terms of intelligence? Below are reported College Board scores of random samples of college basketball and football players. Is there a significant difference? Use a 1% level of significance. What is the implication of the test result to the entire varsity program?
Sample 1: Basketball Players
Mean  460
Standard Deviation  92
Sample Size  102
Sample 2: Football Players
Mean  442
Standard Deviation  57
Sample Size  117
thanks a lot!

$\displaystyle H_{0}: {\mu}_{1}={\mu}_{2}$
$\displaystyle H_{a}: {\mu}_{1}\neq {\mu}_{2}$
Test stat = 1.7104
Critical value = +/ 2.5758
p value = .0903
Now, from this, do you reject or not reject the null hypothesis?.
I have a nice Excel macro I run these through. I do not use those cumbersome formulae. You will have to do that and check your results with what I have above.