A certain population has a mean of 500 and a standard deviation of 30. Many samples of

Question:

A certain population has a mean of 500 and a standard deviation of 30. Many samples of size 36 are randomly selected and the means calculated.
a. What value would you expect to find for the mean of all these sample means?
b. What value would you expect to find for the standard deviation of all these sample means?
c. What shape would you expect the of all these sample means to have?
Distribution
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