When the sample standard deviation is used to construct a confidence interval for the mean, we would use the Student's t distribution instead of the normal distribution.

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Quizplus · Accepted Answer

This is true because when the sample size is small, we cannot assume that the population distribution is normal. Instead, we use the t-distribution to account for the added uncertainty that comes with estimating the population standard deviation from the sample standard deviation.

When the Sample Standard Deviation Is Used to Construct a Confidence