Question

Show that $\sigma_\bar Y^2$ , the variance of the sample mean, $\bar Y$ , is given by $\sigma_\bar Y^2 = \frac {N-n}{N-1}\frac {\sigma^2}{n}$

score 225 · Answer 1 · 2026-03-31 17:01:56

225

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103

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List Question

Show that $\sigma_\bar Y^2$ , the variance of the sample mean, $\bar Y$ , is given by $\sigma_\bar Y^2 = \frac {N-n}{N-1}\frac {\sigma^2}{n}$

Group of 3 friends and books, Variance Problem

Variance(XY + X/Y)

Exchanging and dividing the order of double summations

variance of b1 and b2 calculation question

How to verify the formula for the moment generating function of a uniform random variable?

Proof for variance of geometric distribution

How to write down the density, the expected value and the variance of a random variable distributed as an exp(γ)?

Finding the mean and variance of random variables (discrete and continuous, specifically of indicators) and their properties.

Different variance formulas, how to get from one to the other?

Root estimator to get variance?

Compute $E[X^2]$ for a random variable $X∼Unif(0,3)$?

Variance formula, $E^2(x)$ part

Variance operations on the normal distribution

Determine the values of $a$ and $b$ so that $Var(Q)$ is at minimum

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