Under which of the following circumstances is it impossible to construct a confidence interval for the population mean?
A) a non-normal population with a large sample and an unknown population variance
B) a normal population with a large sample and a known population variance
C) a non-normal population with a small sample and an unknown population variance
D) a normal population with a small sample and an unknown population variance

Question

Quizplus · Accepted Answer

When the population is non-normal and the sample size is small, the Central Limit Theorem does not apply, making it impossible to construct a reliable confidence interval without additional assumptions.

Under Which of the Following Circumstances Is It Impossible to Construct