Which of the following conditions does not allow you to use the formula to estimate μ?
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 μ?
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 11ea78b9_2e22_3d81_8379_b5a46eefb6e5_TB4388_11 does not have any assumptions about the distribution or size of the population, so it can be used regardless of these factors. Therefore, option C is incorrect. The formula requires that the population variance is known, so option A is correct. If the population is not normally distributed but n is large, the formula can still be used due to the Central Limit Theorem, so option B is also correct.

Which of the Following Conditions Does Not Allow You to Use