SOLUTION: 1) A population has a mean of μ = 50 and a standard deviation of σ= 12. For samples of size n = 16, what is the mean (expected value) and the standard deviation (standard er

Algebra ->  Statistics  -> Describing-distributions-with-numbers -> SOLUTION: 1) A population has a mean of μ = 50 and a standard deviation of σ= 12. For samples of size n = 16, what is the mean (expected value) and the standard deviation (standard er      Log On


   

Question 1136572: 1) A population has a mean of μ = 50 and a standard deviation of σ= 12.
For samples of size n = 16, what is
the mean (expected value) and
the standard deviation (standard error) for the distribution of sample means?
I found the standard deviation (standard error) = 3
but for the mean would it just be 50?
Thank you in advance.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe so.

standard error = 12 / sqrt(16) = 12 / 4 = 3.

the average of all sample means is expected to be the population mean.

here's a reference.

http://www.stat.yale.edu/Courses/1997-98/101/sampmn.htm