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What is the probability that a random sample of 16 people will exceed the weight limit?

What is the probability that a random sample of 16 people will exceed the weight limit?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A sign in the elevator of a college library 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 at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. A random sample of 16 persons from the campus will be selected. 

What is the probability that a random sample of 16 people will exceed the weight limit? (Round your answer to four decimal places.)

6. [0.75/1 Points] DETAILS PREVIOUS ANSWERS PECKSTAT2 12.E.014.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A sign in the elevator of a college library 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 at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. A random sample of 16 persons from the campus will be selected. In USE SALT (a) What is the mean of the sampling distribution of x? u- = | 155 (b) What is the standard deviation of the sampling distribution of x? 0- = |7.25 (c) What average weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The average weight of 16 persons needs to be greater than 156.25 Ibs 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.) 0.429 You may need to use the appropriate table in the appendix to answer this question.
Transcribed Image Text:6. [0.75/1 Points] DETAILS PREVIOUS ANSWERS PECKSTAT2 12.E.014.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A sign in the elevator of a college library 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 at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. A random sample of 16 persons from the campus will be selected. In USE SALT (a) What is the mean of the sampling distribution of x? u- = | 155 (b) What is the standard deviation of the sampling distribution of x? 0- = |7.25 (c) What average weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The average weight of 16 persons needs to be greater than 156.25 Ibs 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.) 0.429 You may need to use the appropriate table in the appendix to answer this question.
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