A population has a standard deviation of 37. We take a random sample of size 30 from this population. Let Xbar bethe 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 900?g) What is the smallest size sample, n, which will make the variance of Xtot at least 90000?

Given that Population Standard Deviation = 37 Sample size = 30 Note : According to bartleby experts question answers guidelines an expert can solve only first three sub parts of one question rest can be reposted.

Answered: a) What is the variance of this…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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)