Fifteen students from Poppy High School were accepted at Branch University. Of those students, six were...

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Fifteen students from Poppy High School were accepted at Branch University. Of those students, six were offered academic scholarships and nine were not. The newly accepted student ACT scores are shown here. Academic scholarship: 25, 24, 23, 21, 22, 20 No academic scholarship: 23, 25, 30, 32, 29, 26, 27, 29, 27 Part A: Do these data provide convincing evidence of a difference in ACT scores between students with and without an academic scholarship? Carry out an appropriate test at the a = 0.02 significance level. (5 points) Part B: Create and interpret a 98% confidence interval for the difference in the ACT scores between students with and without an academic scholarship. (5 points) Fifteen students from Poppy High School were accepted at Branch University. Of those students, six were offered academic scholarships and nine were not. The newly accepted student ACT scores are shown here. Academic scholarship: 25, 24, 23, 21, 22, 20 No academic scholarship: 23, 25, 30, 32, 29, 26, 27, 29, 27 Part A: Do these data provide convincing evidence of a difference in ACT scores between students with and without an academic scholarship? Carry out an appropriate test at the a = 0.02 significance level. (5 points) Part B: Create and interpret a 98% confidence interval for the difference in the ACT scores between students with and without an academic scholarship. (5 points)