SOLUTION: A certain population has a mean of 529 and a standard deviation of 29.7. Many samples of size 36 are randomly selected and means calculated. What value would you expect to fin

Algebra ->  Probability-and-statistics -> SOLUTION: A certain population has a mean of 529 and a standard deviation of 29.7. Many samples of size 36 are randomly selected and means calculated. What value would you expect to fin      Log On


   

Question 973888:
A certain population has a mean of 529 and a standard deviation of 29.7. Many samples of size 36 are randomly selected and means calculated.
What value would you expect to find for the mean of all these sample means?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The mean of the sampling distribution for size 36 should be 529, the same as the population. It will have a standard deviation smaller than the population by a factor of the square root of 36.
The expected value of the mean of the samples will be 529; in reality, the means will all cluster closely around 529.