Step 3 (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds will be exceeded when (16- 16 2 2,700. Step 4 We determined that the weight capacity is exceeded if 16x 2 2,700. In other words, if x 2 2700 ]× for a particular sample of 16 people, then the weight capacity will be exceeded.
Step 3 (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds will be exceeded when (16- 16 2 2,700. Step 4 We determined that the weight capacity is exceeded if 16x 2 2,700. In other words, if x 2 2700 ]× for a particular sample of 16 people, then the weight capacity will be exceeded.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
ch8 q7 s4

Transcribed Image Text:Step 1
(a) What is the mean of the sampling distribution of x?
We are given that the average weight of students, faculty, and staff at a college is u = 165 pounds, that the standard deviation is
a = 33 pounds, and that the distribution of weights of individuals on campus is approximately normal.
We are asked to determine the mean for the sampling distribution of the sample mean, x, for a random sample of size n = 16.
Recall the general property of the sampling distribution x: the mean is - = H. Therefore, - - 165
165
Step 2
(b) What is the standard deviation of the sampling distribution of x?
Recall the general property of the sampling distribution x: the standard deviation is a- =
We are given that the standard
deviation is a = 33 pounds and the random sample has size n = 16. Use these values to calculate the mean for the sampling
distribution of the sample mean.
33
33
16
33/4
8.25
Step 3
(c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of
2,700 pounds?
Since the elevator holds a maximum of 16 people and the average weight of each person is x, the weight capacity of 2,700 pounds
will be exceeded when (16
16 x2 2,700.
iz2,700.
Step 4
We determined that the weight capacity is exceeded if 16x 2 2,700.
In other words, if x 2 2700
x for a particular sample of 16 people, then the weight capacity will be exceeded.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman