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A professor administers a standardized math test to his class of 65 students. The mean score (out of a possible 200 points) is 145, with

A professor administers a standardized math test to his class of 65 students. The mean score (out of a possible 200 points) is 145, with a standard deviation of 21. Construct and interpret a 99% confidence interval for the population mean, rounded to the nearest whole number. (4 marks)

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