SOLUTION: The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would: a. Increase the sample

Algebra ->  Probability-and-statistics -> SOLUTION: The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would: a. Increase the sample       Log On


   



Question 208222: The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would:
a. Increase the sample size to 200
b. Increase the confidence interval
c. Increase the sample size to 400
d. Decrease the sample size to 50

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would:
a. Increase the sample size to 200
b. Increase the confidence interval
c. Increase the sample size to 400
d. Decrease the sample size to 50
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SE = t
If SE = 30 and n = 100 you have
30 = t
ts = 300
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If you want SE to be 15
you need:
15 = ts/sqrt(n)
15 = 300/sqrt(n)
sqrt(n) = 20
n = 400
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Cheers,
Stan H.