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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?

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Definitions:

Pre-Tax Net Income

The income earned by a business before the deduction of tax expenses.

Variable Costs

Expenses that change in proportion to the activity of a business, such as the cost of raw materials.

Fixed Costs

Expenses that do not change in total regardless of the level of production or sales activity.

Absorption Costing

A product costing approach that incorporates all costs of manufacturing, including both fixed and variable, into the product's price.

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