Suppose you are interested in studying regional differences in crime rates. You take a random sample of 100 cities in the South, and find a mean crime rate of 55 with a sample variance of 5.78. A sample of 100 cities in the North has a mean crime rate of 50 with a sample variance of 6.72. Construct a 95% confidence interval around the difference in crime rates between the population of Southern cities and the population of Northern cities. Interpret, in words, the meaning of this interval.

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