For a given confidence level 100(1 - α)% and population standard deviation σ, the width of the confidence interval for the population mean is wider, the smaller the sample size n.

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Quizplus · Accepted Answer

This is because the standard error of the mean, which is the measure of the variability of the sample means around the true population mean, is inversely proportional to the square root of the sample size. As the sample size decreases, the standard error of the mean increases, causing the confidence interval to be wider to accommodate a larger range of values for the population mean.

For a Given Confidence Level 100(1 - α)% and Population