Hypothesis test for difference between two population mean.
A researcher wants to know if the average math SAT scores of high school football players is significantly higher than the average math SAT scores of high school basketball players. She knows that for all basketball players their average math SAT is 442 with a standard deviation of 92. She then selects a sample of 102 football players and finds that their average math SAT is 460. Use alpha =.01 to perform the appropriate hypothesis test.