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 standard deviation of the population is known

Question

Quizplus · Accepted Answer

The t distribution is applicable in interval estimation when the sample standard deviation is used to estimate the population standard deviation. This is because, in the absence of knowledge about the population standard deviation, the sample standard deviation is used as an estimate, and the t distribution takes into account the variability of this estimate. The other options (A, C, D) are incorrect because the t distribution is not dependent on the mean of the population, and it can be used regardless of whether the population variance or standard deviation is known.

In Interval Estimation, the T Distribution Is Applicable Only When