Business schools A and B reported the following summary of GMAT (Graduate Management Aptitude Test) mathematics scores. Test the claim that there is a difference in means between two schools A and B. (a) At α = 1%, use the Classical approach to conclude it. (b) Using the P-value approach to conclude it.
Business school A : n=50, X bar=37, S2=100
Business school B : n=40, X bar= 33, S2= 80