Thirty-four small communities in Connecticut (population near 10,000 each) gave an average of x = 137.4 reported cases of larceny per year. Assume that o is known to be 40.7 cases per year. (a) Find the margin of error for a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. (Round your answer to one decimal place.) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one decimal place.) larceny cases (b) Find the margin of error for a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. (Round your answer to one decimal place.) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one decimal place.) larceny cases (c) Find the margin of error for a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. (Round your answer to one decimal place.) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one decimal place.) larceny cases