SOLUTION: 11) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change? A. It will double.

Algebra ->  Probability-and-statistics -> SOLUTION: 11) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change? A. It will double.       Log On


   

Question 265995: 11) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change?
A.

It will double.
B.

It will be cut to ¼ of 5.
C.

It will quadruple.
D.

It will be cut in half.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
11) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, how will the standard error change?
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E = t*s/sqrt(n)
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If sample size becomes 4n you get:
E = t*s/sqrt(4n) = ts/(2sqrt(n))
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Cross-multiply and you get
2E = ts/sqrt(n)
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Answer: A
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Cheers,
Stan H.
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A.
It will double.
B.
It will be cut to ¼ of 5.
C.
It will quadruple.
D.
It will be cut in half.