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

question 68

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. To calculate the confidence interval for the difference μ₁ - μ₂, what is the number of degrees of freedom of the appropriate probability distribution?

• A) 64
• B) 64.87
• C) 68
• D) 69

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Definitions:

Regulatory

Pertaining to or responsible for controlling or directing according to rules, principles, or laws.

Genes

Genes are fundamental units of heredity that carry information necessary for the synthesis of proteins, influencing an organism's traits and functions.

Chorion

The outermost membrane surrounding an embryo in mammals, including humans, contributing to the formation of the placenta.

Allantois

An extra-embryonic membrane in birds and reptiles, involved in gas exchange and waste storage during development.