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What is the smallest size sample, n, which will make the variance of Xtot at least 20000?

What is the smallest size sample, n, which will make the variance of Xtot at least 20000?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A population has a standard deviation of 23. We take a random sample of size 19 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 variance of this population? b) What is the variance of Xtot? (to three decimal places) c) What is the standard deviation of Xtot? (to three decimal places) d) What is the variance of Xbar? (to three decimal places) e) What is the standard deviation of Xbar? (to three decimal places) f) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 250? g) What is the smallest size sample, n, which will make the variance of Xtot at least 20000? h) Copy your R script for the above into the text box here.
Transcribed Image Text:A population has a standard deviation of 23. We take a random sample of size 19 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 variance of this population? b) What is the variance of Xtot? (to three decimal places) c) What is the standard deviation of Xtot? (to three decimal places) d) What is the variance of Xbar? (to three decimal places) e) What is the standard deviation of Xbar? (to three decimal places) f) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 250? g) What is the smallest size sample, n, which will make the variance of Xtot at least 20000? h) Copy your R script for the above into the text box here.
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