SOLUTION: Holding everything else constant, which change to the sample size will reduce the width of a confidence interval for a population mean by half?
A. Quadruple the sample size.
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A. Quadruple the sample size.
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Question 1138473: Holding everything else constant, which change to the sample size will reduce the width of a confidence interval for a population mean by half?
A. Quadruple the sample size.
B. Half the sample size.
C. Square the sample size.
D. Double the sample size.
E. Raise the sample size to the power 4. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Reducing the size of a CI by half means increasing the sample size by 4.
CI is t*s/sqrt(n)
letting t and s stay the same, increasing n fourfold decreases the interval width by a factor of 2.
Answer is A.
