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?

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