Suppose X has a distribution that is not normal.The Central Limit Theorem is important in this case because:
A)it says the sampling distribution of is approximately normal for any sample size.
B)it says the sampling distribution of is approximately normal if n is large enough.
C)it says the sampling distribution of is exactly normal,for any sample size.
D)None of these choices.

Question

Suppose X has a distribution that is not normal.The Central Limit Theorem is important in this case because:
A)it says the sampling distribution of is approximately normal for any sample size. 
B)it says the sampling distribution of is approximately normal if n is large enough. 
C)it says the sampling distribution of is exactly normal,for any sample size. 
D)None of these choices.

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the mean of a sufficiently large sample size (usually n > 30) will be approximately normal, regardless of the distribution of the population. Therefore, option B is the correct choice. Option A is not completely accurate as it specifically mentions 11ea78b9_2e16_cb5e_8379_a9b8b7dd6256_TB4388_11 rather than the mean of a sample. Option C is not accurate as the Central Limit Theorem only states an approximation, not an exact distribution. Option D is not correct as there is a correct choice.

Suppose X Has a Distribution That Is Not Normal