A lvlath Professor records his commuting time to work on 21 days, nds a sample mean at 12 mins 45 seconds and standard deviation of 52 seconds. Suppose a nonnal ouintile plot suggests the population is approximately nonnallv distn'buted. If we are interested in creating a 95% condence interval for or, the population standard deviation, then: a} What are the appropriate Xi and IE\": values, the Right and Le Chisquare values? Round your responses to at least 3 decimal places. x23= 34.1w 9 Xi: 9.591 a b} Next we consbuct the appropriate condence interval. Complete the statements below (rounding each at your interval bounds to at least 3 decimal places}: Context: 'We are \"it. condent that the true standard deviation of the professors n @ time to work lies between and Number Units 6 " Condence: "Also, \"it. condence refers to the fact the best its of unbiased simple _n @samples will produce an n E containing the population standard I deviation 9'\" @J