SOLUTION: 15. A population has a mean μ = 90 and a standard deviation σ = 27. Find the mean and standard deviation of a sampling distribution of sample means with sample means with

Algebra ->  Probability-and-statistics -> SOLUTION: 15. A population has a mean μ = 90 and a standard deviation σ = 27. Find the mean and standard deviation of a sampling distribution of sample means with sample means with      Log On


   

Question 872381: 15. A population has a mean μ = 90 and a standard deviation σ = 27. Find the mean and standard deviation of a sampling distribution of sample means with sample means with sample size n=81
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A population has a mean μ = 90 and a standard deviation σ = 27. Find the mean and standard deviation of a sampling distribution of sample means with sample means with sample size n=81
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Central Limit Theorem says::
mean of the sample means = mean of the population
std of the sample means = (std of population)/sqrt(sample size)
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Ans:
mean of sample means = 90
std of sample means = 27/sqrt(81) = 27/9 = 3
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Sample mean = 90, s = 27/sqrt(81) = 27/9 = 3