In constructing a confidence interval for a mean, the width of the interval is dependent on the sample size, the confidence level, and the population standard deviation.

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The width of a confidence interval for a mean is dependent on the sample size (larger samples lead to narrower intervals), the confidence level (higher confidence levels lead to wider intervals), and the sample standard deviation (larger standard deviations lead to wider intervals). The population standard deviation is usually unknown and is often replaced by the sample standard deviation in constructing a confidence interval. Therefore, it is not directly dependent on the population standard deviation.

In Constructing a Confidence Interval for a Mean, the Width