In the library on a university campus, there is sign in the lift that indicates a limit of 16 persons. In addition, there is a weight limit of 1250kg. Assume that the average weight of individuals on campus is 75kg, that the standard deviation is 13kg, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:
What is the standard deviation of the sampling distribution of the sample mean weight?