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!