A study commissioned by a clothing manufacturer measured the Waist Size of 250 men, finding a mean of 36.33 inches and a standard deviation of 4.02 inches. T explore how the mean might vary from sample to sample, they simulated by drawing many samples of size 2, 5, 10, and 20, with replacement, from the 250 measurements. The summary statistics for these simulations are shown below. Answer parts a through d below. Click the icon to view the summary statistics table. Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation. a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below. (Round to three decimal places as needed.) Theoretical Observed Theoretical st. dev mean st. dev 2.855 1.805 1.276 0.895 n 2 5 10 20 Observed mean 36.314 36.314 36.341 36.339 Summary Statistics Table n mean 2 36.314 5 36.314 10 36.341 st dev 2.855 1.805 1.276 20 36.339 0.895 X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
←
A study commissioned by a clothing manufacturer measured the Waist Size of 250 men, finding a mean of 36.33 inches and a standard deviation of 4.02 inches. To
explore how the mean might vary from sample to sample, they simulated by drawing many samples of size 2, 5, 10, and 20, with replacement, from the 250
measurements. The summary statistics for these simulations are shown below. Answer parts a through d below.
Click the icon to view the summary statistics table.
Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation.
a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below.
(Round to three decimal places as needed.)
n
2
5
10
20
Observed
mean
36.314
36.314
36.341
36.339
Ask my instructor
Theoretical
mean
Observed
st. dev.
2.855
1.805
1.276
0.895
Theoretical
st. dev.
Summary Statistics Table
n
mean
36.314
2
st. dev
2.855
1.805
5 36.314
10 36.341
1.276
20 36.339 0.895
Print
Done
Transcribed Image Text:← A study commissioned by a clothing manufacturer measured the Waist Size of 250 men, finding a mean of 36.33 inches and a standard deviation of 4.02 inches. To explore how the mean might vary from sample to sample, they simulated by drawing many samples of size 2, 5, 10, and 20, with replacement, from the 250 measurements. The summary statistics for these simulations are shown below. Answer parts a through d below. Click the icon to view the summary statistics table. Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation. a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below. (Round to three decimal places as needed.) n 2 5 10 20 Observed mean 36.314 36.314 36.341 36.339 Ask my instructor Theoretical mean Observed st. dev. 2.855 1.805 1.276 0.895 Theoretical st. dev. Summary Statistics Table n mean 36.314 2 st. dev 2.855 1.805 5 36.314 10 36.341 1.276 20 36.339 0.895 Print Done
Expert Solution
steps

Step by step

Solved in 3 steps with 17 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman