What is the mean of the x sampling distribu- tion? b. What is the standard deviation of the x sampling distribution? c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 pounds? d. What is the chance that a random sample of 16 people will exceed the weight limit?
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons.
In addition, there is a weight limit of 2500 pounds. Assume that the average weight of students, fac-
ulty, and staff on campus is 150 pounds, that the standard deviation is 27 pounds, and that the distribution of weights of individuals on campus is approximately normal. Suppose a random sample of 16 persons from the campus will be selected.
a. What is the mean of the x sampling distribu-
tion?
b. What is the standard deviation of the x sampling
distribution?
c. What average weights for a sample of 16 people
will result in the total weight exceeding the
weight limit of 2500 pounds?
d. What is the chance that a random sample of
16 people will exceed the weight limit?
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