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If we draw two samples from the same population, one with 100 cases and one with

ID: 3314292 • Letter: I

Question

If we draw two samples from the same population, one with 100 cases and one with 25 cases, for which sample will the estimate of the standard error of the mean tend to be smaller?

the sample with 25 cases.

the sample with 100 cases.

the standard error of the mean will be the same for both samples because they come from the same population.

cannot be determined from the information given.

the sample with 25 cases.

the sample with 100 cases.

the standard error of the mean will be the same for both samples because they come from the same population.

cannot be determined from the information given.

Explanation / Answer

Accuracy improves as the sample size increases. The standard error gets smaller, the range of values gets smaller, and values tend to be closer to the population value.

The standard error of the mean tend to be smaller for the sample with 100 cases.

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