Pilots who cannot maintain regular sleep hours due to their work schedule often suffer from insomnia A recent study on sleeping patterns of pilots focused on quantifying deviations from regular sleep hours A random sample of 24 commercial airline pilots was interviewed and the pilots in the sample reported the time at which they went to sleep on their most recent working day The study gave the sample mean and standard deviation of the times reported by pilots with these times measured in hours after midnight Thus if the pilot reported going to sleep at 11 p m the measurement was 1 The sample mean was 0 8 hours and the standard deviation was 1 6 hours Assume that the sample is drawn from a normally distributed population Find a 99 confidence interval for the population standard deviation that is the standard de tion of the time hours after midnight at which pilots go to sleep on their work days Then give its lower limit and upper limit Carry your intermediate computations to at least three decimal places Round your answers to at least two decimal places If necessary consult a list of formulas Lower limit Upper limit X Aa