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

question 116

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. At the 5% significance level, can the university conclude that the mean SAT math score for in-state students and out-of-state students differ?

• A) No, because the confidence interval contains zero.
• B) Yes, because the confidence interval contains zero.
• C) No, because the confidence interval does not contain zero.
• D) Yes, because the confidence interval does not contain zero.

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