Question: Two different precincts in Columbus, Ohio, were comparing arrest data. Precinct 18, on the North side, collected the arrest records of 45 officers and found they averaged 75 arrests during the period in question (with a standard deviation of 10). Precinct 13, on the South side, collected data from 39 officers and found their average arrests made was 78 (with a standard deviation of 5). Using this information, construct the 95% confidence interval for the true difference in the average number of arrests per officer for the two precincts in question. Interpret your results by explaining your calculations and what they mean.

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