A university with high water bill is interested in determining the mean amount of time that students spend in the shower each day. In a sample of 12 students, the average time was 4.8 minutes and standard deviation was 1.05 minutes. Using this sample information, develop a 99% confidence interval for mean amount of time that students spend in shower each day.
A) Determine the lower limit of the 99% interval? Give your answer to three decimal places.
B) Determine the upper limit of the 99% interval? Give your answer to three decimal places.