Twenty students from Sherman High School were accepted at Wallaby University. Of those students, eight were offered military scholarships and 12 were not. The newly accepted student SAT scores are shown here. Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300 No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200, 1220, 1330 Part A: Do these data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship? Carry out an appropriate test at the α = 0.05 significance level. Part B: Create and interpret a 95% confidence interval for the difference in SAT scores between students with and without a military scholarship.

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Twenty students from Sherman High School were accepted at Wallaby University. Of those students, eight were offered military scholarships and 12 were not. The newly accepted student SAT scores are shown here.
Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300
No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200, 1220, 1330
Part A: Do these data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship? Carry out an appropriate test at the α = 0.05 significance level.
Part B: Create and interpret a 95% confidence interval for the difference in SAT scores between students with and without a military scholarship.
Transcribed Image Text:Twenty students from Sherman High School were accepted at Wallaby University. Of those students, eight were offered military scholarships and 12 were not. The newly accepted student SAT scores are shown here. Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300 No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200, 1220, 1330 Part A: Do these data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship? Carry out an appropriate test at the α = 0.05 significance level. Part B: Create and interpret a 95% confidence interval for the difference in SAT scores between students with and without a military scholarship.
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