Generally speaking, if the sampling distribution of a statistic is indeterminate (impossible to determine), the statistic cannot be used for inference.

Question

Quizplus · Accepted Answer

If the sampling distribution of a statistic cannot be determined, it means that we cannot make any assumptions about the behavior of the statistic in repeated samples. Without knowledge of the sampling distribution, we cannot make any meaningful inferences about the population based on the observed statistic from a single sample. Therefore, the statistic cannot be used for inference.

Generally Speaking, If the Sampling Distribution of a Statistic Is