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Suppose twenty-two communities have an average of  reported cases of larceny per year. Assume that σ is...

Suppose twenty-two communities have an average of  reported cases of larceny per year. Assume that σ is known to be 37.3 cases per year. Find an 85%, 90%, and 95% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the margins of error. As the confidence level increase, do the margins of error increase?

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