In the library on a university campus, there is sign in lift that points out a limit of 16 persons. In addition, there is a weight limit of 1250kg. Suppose that the average weight of individuals on campus is 75kg, that the standard deviation is 13kg, and that distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from campus is to be taken:
What average weights for sample of 16 people will result in the total weight exceeding weight limit of 1250kg?