The width of a confidence interval for a population mean that is based on the t-distribution varies from
sample to sample even if the sample size and confidence level is kept fixed.

Question

Quizplus · Accepted Answer

The width of a confidence interval depends on the standard error of the mean which varies from sample to sample. As the t-distribution takes into account the sample size, the degree of variability also changes from sample to sample, resulting in different confidence interval widths.

The Width of a Confidence Interval for a Population Mean