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The population of the scores of all high school seniors that took the ATAR-M test (mathematics component of the ATAR test) last year followed a Normal distribution, with mean \mu and standard deviation
\sigma= 100. You read a report that says, “On the basis of a simple random sample of 500 high school seniors that took the ATAR-M test this year, a confidence interval for is 512.00 ± 11.52.”