Rural and urban students are to be compared on the basis of their scores on a nationwide musical aptitude test. Two random samples of sizes 90 and 100 are selected from rural and urban seventh-grade students. The summary statistics from the test scores are

Construct a 98% confidence interval for the difference in population mean scores between urban and rural students.

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Rural Urban Sample size Mean Standard deviation 90 76.4 8.2 100 81.2 7.6