Which of the following conditions does not allow you to use the formula
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

Which of the following conditions does not allow you to use the formula  
 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.

Quizplus · Accepted Answer

The formula $\bar { x } \pm z _ { α / 2 } \sigma / \sqrt { n }$ can be used to estimate the population mean with a confidence interval when the population distribution is not necessarily normal and when the sample size can be any size. However, in options A and B the population variance is known which is an additional condition that allows for the use of this formula. Therefore, option C is the only choice that does not have any additional conditions beyond the use of this formula.

Which of the Following Conditions Does Not Allow You to Use