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 2,500 pounds. Assume that the average weight of students, faculty, and staff on campus is 155 pounds, that the standard deviation is 29 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. USE SALT (a) What is the mean of the sampling distribution of x? (b) What is the standard deviation of the sampling distribution of X? (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The mean weight of 16 persons needs to be greater than lbs to exceed the weight limit of the elevator. (d) What is the probability that a random sample of 16 people will exceed the weight limit? (Round your answer to four decimal places.)
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 2,500 pounds. Assume that the average weight of students, faculty, and staff on campus is 155 pounds, that the standard deviation is 29 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. USE SALT (a) What is the mean of the sampling distribution of x? (b) What is the standard deviation of the sampling distribution of X? (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The mean weight of 16 persons needs to be greater than lbs to exceed the weight limit of the elevator. (d) What is the probability that a random sample of 16 people will exceed the weight limit? (Round your answer to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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 2,500 pounds. Assume that the average weight of students, faculty, and staff on campus is 155 pounds, that the standard
deviation is 29 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.
USE SALT
(a) What is the mean of the sampling distribution of X?
(b) What is the standard deviation of the sampling distribution of x?
(c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds?
The mean weight of 16 persons needs to be greater than
lbs to exceed the weight limit of the elevator.
(d) What is the probability that a random sample of 16 people will exceed the weight limit? (Round your answer to four decimal places.)
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