The t distribution is used to construct confidence intervals for the population mean when the population standard deviation is unknown.

Question

Quizplus · Accepted Answer

This statement is true. The t distribution is a probability distribution that is used to construct confidence intervals for the population mean when the sample size is small and/or the population standard deviation is unknown. This is because when the population standard deviation is unknown, the standard error of the mean is estimated using the sample standard deviation and the t distribution is used to adjust for the additional uncertainty introduced by this estimation process.

The T Distribution Is Used to Construct Confidence Intervals for the Population