Hypothesis Testing/ 2 Samples #2

2. A guidance counselor claims high school students in a college prep program have higher ACT scores than those in a general program. The mean ACT score for 49 high school students who are in a college prep program is 22.1. The mean ACT score for 41 high school students who are in a general program is 19.6. National norms indicate the standard deviation of scores for all students in college prep programs is 4.8 and the standard deviation of scores for all students in general programs is 5.4. Test the guidance counselor's claim at the 0.01 level of significance