Suppose thirty-one communities have an average of reported cases of larceny per year. Assume that is known to be 41.5 cases per year. Find a75%, 85%, 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? Round your answers to one decimal place. Group of answer choicesThe 75% confidence level has a confidence interval length of 95.4; the 85% confidence level has a confidence interval length of 119.5; and the 98% confidence level has a confidence interval length of 193.4. As the confidence level increases, the confidence interval length increase.The 75% confidence level has a confidence interval length of 17.1; the 85% confidence level has a confidence interval length of 21.5; and the 98% confidence level has a confidence interval length of 34.7. As the confidence level increases, the confidence interval lengths increase.The 75 % confidence level has a confidence interval length of 17.1 ; the 85 % confidence level has a confidence interval length of 21.5 ; and the 98 % confidence level has a confidence interval length of 34.7 . As the confidence level increases, the confidence interval lengths decrease.The 75% confidence level has a confidence interval length of 3.1; the 85% confidence level has a confidence interval length of 3.9; and the 98% confidence level has a confidence interval length of 6.2. As the confidence level increases, the confidence interval lengths increase.The 75% confidence level has a confidence interval length of 6.2; the 85% confidence level has a confidence interval length of 3.9; and the 98% confidence level has a confidence interval length of 3.1. As the confidence level increases, the confidence interval length decrease.