A University Wants to Compare Out-Of-State Applicants' Mean SAT Math

Multiple Choice

A university wants to compare out-of-state applicants' mean SAT math scores (μ₁) to in-state applicants' mean SAT math scores (μ₂) . The university looks at 35 in-state applicants and 35 out-of-state applicants. The mean SAT math score for in-state applicants was 540, with a standard deviation of 20. The mean SAT math score for out-of-state applicants was 555, with a standard deviation of 25. It is reasonable to assume the corresponding population standard deviations are equal. Calculate a 95% confidence interval for the difference μ₁ - μ₂.

A) [-25.6067, -4.3933]
B) [-25.7961, -4.2039]
C) [-25.8124, -4.1876]
D) [-33.6105, 3.6105]