You plan to construct a 99% confidence interval for the mean of a Normal population with (known) standard deviation . By using a sample size of 400 rather than 100, you can reduce the margin of error by a factor of

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16 (the new margin of error will be 1/16 that of the one based on 100 observations).

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2 (the new margin of error will be half that of the one based on 100 observations).

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4 (the new margin of error will be 1/4 that of the one based on 100 observations).

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none of the above—it depends on the value of   \sigma .

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You plan to construct a 99% confidence interval for the mean of a Normal popula...

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