SOLUTION: PLEASE HELP! The shape of the distribution of sample means is always that of an approximately normal distribution. T-F, Why or why not?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: PLEASE HELP! The shape of the distribution of sample means is always that of an approximately normal distribution. T-F, Why or why not?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1114916: PLEASE HELP!
The shape of the distribution of sample means is always that of an approximately normal distribution. T-F, Why or why not?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The shape of the distribution of sample means is always that of an approximately normal distribution. T-F, Why or why not?
ans: F
why: Central Limit Theorem (CLT):
the distribution of sample means will be approximately normal as long as the sample size is large+enough (means not++always )
as the sample size n gets large, the shape of the distribution will converge to a shape that is nearly normal