Suppose twenty-two communities have an average of x = 123.6 reported cases of larceny per year. Assume that o is known to be 36.8 cases per year. Find a 90%, 95%, and 98% confidence interval for the...

Extracted text: Suppose twenty-two communities have an average of x = 123.6 reported cases of larceny per year. Assume that o is known to be 36.8 cases per year. Find a 90%, 95%, and 98% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the lengths of the confidence intervals. As the confidence levels increase, do the confidence intervals increase in length? rrect! The 90% confidence level has a confidence interval length of 25.8; the 95% confidence level has a confidence interval length of 30.8; and the 98% confidence level has a confidence interval length of 36.6. As the confidence level increases, the confidence interval lengths increases.