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

question 68

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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?

Comprehend the historical and legal significance of landmark Supreme Court cases, such as Marbury v. Madison.
Understand the protections offered by the Bill of Rights, including the right to bear arms, freedom of religion, protection against self-incrimination, and protection against unreasonable searches.
Explain the role and purpose of the Supremacy Clause and its relationship to state and federal law.
Grasp the concept of judicial review and its impact on legislative and executive actions.

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