Homework Help is Here – Start Your Trial Now!
Math
Statistics
A population has a variance of 169. We take a random sample of size 49 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the standard deviation of this population? b) What is the variance of 2*Xtot? (to three decimal places) c) What is the standard deviation of 2*Xtot? (to three decimal places) d) What is the variance of 2*Xbar? (to three decimal places). e) What is the standard deviation of 2*Xbar? (to three decimal places) f) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 90? g) What is the smallest size sample, n, which will make the variance of Xtot at least 9000?

A population has a variance of 169. We take a random sample of size 49 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the standard deviation of this population? b) What is the variance of 2*Xtot? (to three decimal places) c) What is the standard deviation of 2*Xtot? (to three decimal places) d) What is the variance of 2*Xbar? (to three decimal places). e) What is the standard deviation of 2*Xbar? (to three decimal places) f) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 90? g) What is the smallest size sample, n, which will make the variance of Xtot at least 9000?

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
See similar textbooks
icon
Related questions
Question

please answer all questions fully and show all work down to the numerical values for each part

A population has a variance of 169. We take a random sample of size 49 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the standard deviation of this population? b) What is the variance of 2*Xtot? (to three decimal places) c) What is the standard deviation of 2*Xtot? (to three decimal places) d) What is the variance of 2*Xbar? (to three decimal places) e) What is the standard deviation of 2*Xbar? (to three decimal places) f) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 90? g) What is the smallest size sample, n, which will make the variance of Xtot at least 9000?
Transcribed Image Text:A population has a variance of 169. We take a random sample of size 49 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the standard deviation of this population? b) What is the variance of 2*Xtot? (to three decimal places) c) What is the standard deviation of 2*Xtot? (to three decimal places) d) What is the variance of 2*Xbar? (to three decimal places) e) What is the standard deviation of 2*Xbar? (to three decimal places) f) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 90? g) What is the smallest size sample, n, which will make the variance of Xtot at least 9000?
Expert Solution
steps

Step by step

Solved in 7 steps with 26 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS