Thirty small communities in Connecticut population near 10 000 each gave an average of x 139 0 reported cases of larceny per year Assume that a is known to be 44 3 cases per year a Find a 90 confidence Interval for the population mean annual number of reported larceny cases in such communities What is the margin of error Round your answers to one decimal place lower limit X 125 54 152 46 upper limit X margin of error 13 5 X b Find a 95 confidence interval for the population mean annual number of reported larceny cases in such communities What is the margin of error Round your answers to one decimal place lower limit 123 93 154 07 15 1 upper limit margin of error X X c Find a 99 confidence interval for the population mean annual number of reported larceny cases in such communities What is the margin of error Round your answers to one decimal place lower limit 120 55 upper limit 157 45 18 45 margin of error X d Compare the margins of error for parts a through c As the confidence levels increase do the margins of error increase O As the confidence level increases the margin of error remains the same O As the confidence level increases the margin of error decreases As the confidence level increases the margin of error increases