Which of the following conditions does not allow you to use the formula $\bar { x } \pm z _ { a / 2 } \sigma / \sqrt { n }$ to estimate $\mu$?
A)Population is normally distributed and the population variance is known.
B)Population is not normally distributed but n is large; population variance is known.
C)Population has any distribution and n is any size.
D)All of these choices allow you to use the formula.

Question

Quizplus · Accepted Answer

The formula $\bar { x } \pm z _ { a / 2 } \sigma / \sqrt { n }$ is used when the population is normally distributed or when the sample size is large (Central Limit Theorem), and the population variance is known. If the population has any distribution and n is any size, the formula cannot be used unless the population is normally distributed.

Which of the Following Conditions Does Not Allow You to Use