The Central Limit Theorem states that,if a random sample of size n is drawn from a population,then the sampling distribution of the sample mean :

A) is approximately normal if n < 30.
B) is approximately normal if n > 30.
C) is approximately normal if the underlying population is normal.
D) None of these choices.

Central Limit Theorem

A statistical theory stating that the distribution of sample means approximates a normal distribution as the sample size becomes large, regardless of the population's distribution.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, essential in estimating the sampling variability.

Sample Mean

The average value of a sample, used as an estimate of the population mean.