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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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VIEWStep 5: Find the smallest sample size which makes the standard deviation of Xtot at least 90:
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