1- Suppose that a random sample of size 64 is to be selected
from a population with mean 40 and standard deviation 5.
(b) What is the approximate probability
that x will be within 0.3 of the population
mean ?? (Round the answer to four decimal
places.)
2-In the library on a university campus, there is a sign in the
elevator that indicates a limit of 16 persons. Furthermore, there
is a weight limit of 2500 lb. Assume that the average weight of
students, faculty, and staff on campus is 151 lb, that the standard
deviation is 26 lb, 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:
(d) What is the chance that a random sample of 16 persons on the
elevator will exceed the weight limit? (Round the answer to four
decimal places.)