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| Subject:
Statistics - Central Limit Theorem Question
Category: Science > Math Asked by: dave43-ga List Price: $3.00 |
Posted:
05 Apr 2005 12:31 PDT
Expires: 05 May 2005 12:31 PDT Question ID: 505364 |
You have a mean of 500 and a standard deviation of 100, suppose that many samples of size n are taken from a large population and the mean is computed for each sample. What is the mean & standard deviation of the distribution of sample means for n=100 and for n=400. |
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| Subject:
Re: Statistics - Central Limit Theorem Question
From: volterwd-ga on 05 Apr 2005 16:50 PDT |
See my other answer to the other guys question... in fact this has nothing to do with the CLT only the standard properties of means and expectations. |
| Subject:
Re: Statistics - Central Limit Theorem Question
From: sisho-ga on 06 Apr 2005 08:50 PDT |
The mean of the sample means is always 500. The SD of the sample means is 100/sqare_root(n), which is 10 for n=100 and 5 for n=400. You don't need CLT to asnwer it. |
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Re: Statistics - Central Limit Theorem Question
From: volterwd-ga on 06 Apr 2005 18:05 PDT |
Just a thought... but since you mentioned CLT ill add something... suppose that Ex = mu Vx = sigma^2 < infty Then Xbar is asymptotically normal with the previously mentioned mean and variance... or... sqrt(n)*(Xbar - mu)/sigma ~ Normal(0,1) |
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