A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. Assume the amount of garbage per bin is normally distributed. In a random sample of 40 bins, the sample mean amount is 52.8 pounds and the population standard deviation is 3.9 pounds. Construct 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city. Don't use 68/95/99.7 rule; instead use R to compute the quantities such as quantiles.