In interval estimation, the t distribution is applicable only when
A) the population has a mean of less than 30.
B) the sample standard deviation is used to estimate the population standard deviation.
C) the variance of the population is known.
D) the mean of the population is unknown.

Question

Quizplus · Accepted Answer

The t distribution is applicable only when the sample standard deviation is used to estimate the population standard deviation, since the population standard deviation is unknown. Option A is incorrect as the mean of the population is not relevant for the applicability of the t distribution. Option C is incorrect as the t distribution is used when the population variance is unknown. Option D is incorrect as it contradicts with the question, as the mean of the population is already known.

In Interval Estimation, the T Distribution Is Applicable Only When