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Test the hypothesis that the average SAT math scores from students in Pennsylvania and Ohio are different. A sample of 45 students from Pennsylvania had an average score of 552, whereas a sample of 38 Ohio students had an average score of 530. Assume the population standard deviations for Pennsylvania and Ohio are 105 and 114 respectively. Test at the α = 0.05 level. What is the p-value for these samples?

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