You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an alternative browser.
You should upgrade or use an alternative browser.
The Central Limit Theorem
- Thread starter Deede
- Start date
Suppose you know the mean and the standard deviation of the "population" distribution - but not necessarily the shape of the distribution. The central limit theorem states that if you take samples of size n from the population, the distribution of sample means will approach a Normal distribution as n gets large. Further, the mean of the sample means will equal the population mean, and the standard deviation of the sample means will be the population standard deviation divided by \(\displaystyle \sqrt{n}\).__
How does one calculate the sampling distribution of X when you have the random sample of size n, mean, and standard deviation. I would appreciate any help that I can get.
Population:................... \(\displaystyle \mu,\;\;\sigma \)
Mean of sample of size \(\displaystyle n\): \(\displaystyle \mu, \;\;\dfrac{\sigma}{\sqrt{n}}\)
__
How does one calculate the sampling distribution of X when you have the random sample of size n, mean, and standard deviation. I would appreciate any help that I can get.
Thank you Dr. Phil. I understand it now.
"In three words I can sum up everything I've learned about life. It goes on." Robert Frost