According to the Central Limit Theorem, as the sample size (n) from a non-normal population increases:
A) the mean of the sampling distribution of becomes closer to μ, the population mean.
B) the sample standard deviation decreases.
C) the sampling distribution of increasingly approximates a normal distribution.
D) there is less of a problem with nonrepresentative sample bias.

Question

According to the Central Limit Theorem, as the sample size (n) from a non-normal population increases:
A) the mean of the sampling distribution of becomes closer to μ, the population mean. 
B) the sample standard deviation decreases. 
C) the sampling distribution of increasingly approximates a normal distribution. 
D) there is less of a problem with nonrepresentative sample bias.

Quizplus · Accepted Answer

The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean increasingly approximates a normal distribution regardless of the shape of the population distribution. This means that the distribution of sample means becomes more symmetrical and bell-shaped with increasing sample size.

According to the Central Limit Theorem, as the Sample Size