In essence,the Central-Limit Theorem holds that
A)if the sample is large enough,the distribution of sample means will be normal.
B)if the sample is large enough,all sample means will fall within one standard deviation of the population mean.
C)when the variable of interest is normally distributed within the population,the sample mean will be normally distributed.
D)the sample variance will be equal to the population variance if the sample size is large enough.
E)sample sizes larger than n=2 will insure that the distribution of sample means will be normal.

Question

Quizplus · Accepted Answer

The Central-Limit Theorem states that if the sample size is large enough (usually n>30), the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. This means that even if the population distribution is not normal, the distribution of sample means will approach a normal distribution as the sample size increases.

In Essence,the Central-Limit Theorem Holds That