A university 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 14 students, the average time was 4.97 minutes and the standard deviation was 1.04 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.