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 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.