A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sample of 40 bins, the sample mean amount was 53.9 pounds and the sample standard deviation was 3.2 pounds. Construct 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city.
A) What is the lower limit of the 95% interval? Give your answer to three decimal places.
B) What is the upper limit of the 95% interval? Give your answer to three decimal places.
C) What is the lower limit of the 99% interval? Give your answer to three decimal places.
D) What is the upper limit of the 99% interval? Give your answer to three decimal places.