25 students from harry high school were excepted at magic university. Of those students, 10 were offered athletic
scholarships and 15 were not. Mrs.Jonson believes magic university may be excepting people with lower ACT scores if they are athletes. The newly excepted student ACT scores are shown here.
athletic scholarships: 16,24,20,25,24,23,21,22,20,20
No athletic scholarships: 23,25,26,30,32,26,28,29,26,27,29,27,22,24,25
Part A: Does the data provide convincing evidence of a difference in ACT scores between athletes and non athletes? Make an appropriate test with a=0.10 significance level.
Part B: Find out a 90% confidence interval for the difference in ACT scores between athletes and non athletes