SOLUTION: IF THE VARIANCE OF THE POPULATION IS 9, WHAT HAPPENS TO THE VARIANCE OF THE SAMPLING DISTRIBUTION OF THE MEANS OF SIZE 6 DRAWN FROM THE POPULATION?

Question 1180792: IF THE VARIANCE OF THE POPULATION IS 9, WHAT HAPPENS TO THE VARIANCE OF THE SAMPLING DISTRIBUTION OF THE MEANS OF SIZE 6 DRAWN FROM THE POPULATION?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The variance varies as the inverse of n
so the variance of the the sampling distribution of size 6 is sigma^2/6 or here 9/6 or 1.5
The SD of the first is 3
The SD of the second is 3/sqrt(6)=(1/2)*sqrt(6)=1.225, which is the sqrt of the above 1.5
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