Question 481060
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 are calculated. 
What value would you expect to find for the mean of all these samples means?
Ans: The mean of the sample means = the mean of the population
Ans: 500
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What value would you expect to find for the standard deviation of all these sample means? 
Ans: 30/sqrt(36) = 30/6 = 5
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True of False, you would expect the shape of the sampling distribution to be approximately normal
True.
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All of these answers are provided by the Central Limit Theorem.
Cheers,
Stan H.