The sampling distribution of x(bar) is normal if the population has a normal distribution. I think this is true but I am not 100% sure. Thanks again guys.
2007-01-30 06:04:48 · 1 answers · asked by Bree 2 in Science & Mathematics ➔ Mathematics
You are absolutely correct.
If your population is normal with mean mu and varince sigma squared, the sampling distribution will be normal with mean mu and varince sigma squared over n. This is exact, regardless of n.
This result comes from the fact that x bar is a linear combination of a series of independent samples. If the population is normal, each sample will be from a normal, and a linear combination of independent normal variables is itself normal (which can be proved directly from the equation for the normal distribution).
2007-02-01 08:36:04 · answer #1 · answered by Anonymous · 0⤊ 0⤋