Exhibit 10

Exhibit 10.6.A university wants to compare out-of-state applicants' mean SAT math scores (μ₁) to instate applicants' mean SAT math scores (μ₂) .The university looks at 35 instate applicants and 35 out-of-state applicants.The mean SAT math score for instate 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. Refer to Exhibit 10.6.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]