# Question: In the library on a university campus there is a

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, faculty, 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. If a random sample of 16 persons from the campus is to be taken:

a. What is the expected value of the distribution of the sample mean weight?

b. What is the standard deviation of the sampling distribution of the sample mean weight?

c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 pounds? x . 156.25

d. What is the chance that a random sample of 16 people will exceed the weight limit?

a. What is the expected value of the distribution of the sample mean weight?

b. What is the standard deviation of the sampling distribution of the sample mean weight?

c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 pounds? x . 156.25

d. What is the chance that a random sample of 16 people will exceed the weight limit?

**View Solution:**## Answer to relevant Questions

Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. a. If the distribution of ...An airplane with room for 100 passengers has a total baggage limit of 6000 pounds. Suppose that the total weight of the baggage checked by an individual passenger is a random variable x with a mean value of 50 pounds and a ...The article “Should Pregnant Women Move? Linking Risks for Birth Defects with Proximity to Toxic Waste Sites” (Chance [1992]: 40– 45) reported that in a large study carried out in the state of New York, approximately ...Water permeability of concrete can be measured by letting water flow across the surface and determining the amount lost (in inches per hour). Suppose that the permeability index x for a randomly selected concrete specimen of ...The use of the interval requires a large sample. For each of the following combinations of n and p^, indicate whether the sample size is large enough for use of this interval to be appropriate. a. n = 50 and p^ = .30 b. n = ...Post your question