A water footprint is a measure of the appropriation of fresh water. The per capita water footprint in the United States for a recent year is approximately normally distributed, with a mean of 1.64 mega gallons and a standard deviation of 2.89 mega gallons. Random samples of size 12 are drawn from this population, and the mean of each sample is determined.

Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution.