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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.At the 5% significance level,can the university conclude that the mean SAT math score for instate students and out-of-state students differ?
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