SOLUTION: Show the formulas you use. Show the values you substituted into the formulas. 1. For a continuous random variable x, the population mean and standard deviation are 120 and 15 res

Algebra ->  Probability-and-statistics -> SOLUTION: Show the formulas you use. Show the values you substituted into the formulas. 1. For a continuous random variable x, the population mean and standard deviation are 120 and 15 res      Log On


   

Question 356328: Show the formulas you use. Show the values you substituted into the formulas.
1. For a continuous random variable x, the population mean and standard deviation are 120 and 15 respectively. Find the mean and standard deviation of the sampling distribution of the sample mean for a sample of 25 elements taken from this population.
Answer by stanbon(75887) About Me  (Show Source):
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Show the formulas you use. Show the values you substituted into the formulas.
1. For a continuous random variable x, the population mean and standard deviation are 120 and 15 respectively.
Find the mean and standard deviation of the sampling distribution of the sample mean for a sample of 25 elements taken from this population.
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the mean of the sample means is the mean of the population.
u(x-bar) = u(x) = 120
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the std of the sample means = s/sqrt(n)
std(x-bar) = std(x)/sqrt(n) = 15/sqrt(25) = 15/5 = 3
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Cheers,
Stan H.