Thirty-one small communities in Connecticut (population near10,000 each) gave an average of x = 138.5 reported cases of larcenyper year. Assume that ? is known to be 45.1 cases per year. (a)Find a 90% confidence interval for the population mean annualnumber of reported larceny cases in such communities. What is themargin of error? (Round your answers to one decimal place.) lowerlimit upper limit margin of error (b) Find a 95% confidenceinterval for the population mean annual number of reported larcenycases in such communities. What is the margin of error? (Round youranswers to one decimal place.) lower limit upper limit margin oferror (c) Find a 99% confidence interval for the population meanannual number of reported larceny cases in such communities. Whatis the margin of error? (Round your answers to one decimal place.)lower limit upper limit margin of error