Question

A population has a standard deviation of 97. We take a random sample of size 26 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

Answer 1

Variance of this population = 9,409

Explanation:

Given:

Standard deviation of population = 97

Random sample size = 26

Find:

Variance of this population

Computation:

Standard deviation (σ) = 97

Variance = Standard deviation²

Variance = (σ)²

Variance of this population = Standard deviation of population²

Variance of this population = 97²

Variance of this population = 9,409