can any1 prove that equality

**bogazichili** · July 28th 2009, 01:49 AM

SE = SD(of the population)/sqrt(n)

SE: standard error of the mean. n is population size.

why is that true . i wanna know either statistical reason or mathematical reason.

**mr fantastic** · July 28th 2009, 01:54 AM

Originally Posted by bogazichili

SE = SD(of the population)/sqrt(n)

SE: standard error of the mean. n is population size.

why is that true . i wanna know either statistical reason or mathematical reason.

Read this: Sampling Distribution of the Mean

**matheagle** · July 28th 2009, 06:23 AM

Just take the square root of...

$V(\bar X) =V\biggl({X_1+\cdots +X_n\over n}\biggr)={1\over n^2}\bigl[ V(X_1)+\cdots +V(X_n)\bigr] ={1\over n^2}[n\sigma^2]={\sigma^2\over n}$

Thread: can any1 prove that equality

LinkBack

Thread Tools

Display

can any1 prove that equality

Similar Math Help Forum Discussions

Prove equality

Prove this equality

Prove the following equality

prove a equality

prove an equality

Search Tags