Exhibit 10

question 55

Multiple Choice

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.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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