A population has a variance of 867. We take a random sample of size 47 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. d) What is the standard deviation of Xtot? (to three decimal places) e) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 324? f) What is the smallest size sample, n, which will make the variance of Xtot at least 93100?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A population has a variance of 867. We take a random sample of size 47 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables.



d) What is the standard deviation of Xtot? (to three decimal places)

e) What is the smallest sample size, n, which will make the standard deviation of Xtot at least 324?

f) What is the smallest size sample, n, which will make the variance of Xtot at least 93100?

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