Question 1040001: When it asks which confidence interval is wider or which sample size requirement is larger, what do you say when it asks you why?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The confidence interval is larger with smaller samples. We are less confident of a result when the sample size is 2 compared to a sample size of 1000. This is because the standard error, which is one part of the confidence interval, is s (or sigma)/sqrt(n). The larger (n), the smaller the standard error and the narrower the confidence interval.
To narrow the confidence interval, one needs either a larger sample or less confidence.
If one wants to decrease the sample size, the result will be an answer with less confidence, all other things remaining the same.
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