SOLUTION: 5. Assume that a random variable, x, is distributed according to a normal distribution with mean 46 and standard deviation 12. a. What is the standard error of the estimate, x

Question 760289: 5. Assume that a random variable, x, is distributed according to a normal distribution with mean 46 and standard deviation 12.
a. What is the standard error of the estimate, x-bar, if a sample of size 25 is taken?
b. By how much does the standard error of x-bar change if the sample is increased to 100?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assume that a random variable, x, is distributed according to a normal distribution with mean 46 and standard deviation 12.
a. What is the standard error of the estimate, x-bar, if a sample of size 25 is taken?
standard error = standard deviation = 12/sqrt(25) = 12/5 = 2.4
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b. By how much does the standard error of x-bar change if the sample is increased to 100?
Ans: 12/sqrt(100) = 12/10 = 1.2
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Cheers,
Stan H.
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