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

question 67

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]

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Definitions:

Global Sea Level

The average height of the Earth's ocean surface, used as a standard in measuring sea level rise or fall globally.

Ice Volume

The total amount of ice contained within glaciers, ice caps, and ice sheets, often measured to monitor the effects of climate change.

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A large celestial body that revolves around a sun in a solar system.

West Antarctica

A region of Antarctica that lies west of the Transantarctic Mountains and is largely covered by the West Antarctic Ice Sheet.