Auniversity with a high water bill is interested in estimating the mean amount of time that students spend in the shower each day. in a sample of 11 students, the average time was 4.94 minutes and the standard deviation was 1.27 minutes. using this sample information, construct a 99% confidence interval for the mean amount of time that students spend in the shower each day. assume normality. a) what is the lower limit of the 99% interval? give your answer to three decimal places. b) what is the upper limit of the 99% interval? give your answer to three decimal places.