Perspectives on the mean and standard deviation of a sampling distribution of the mean,as well as its shape,are derived from an important formulation called the:
A)central tendency theorem
B)central distribution theorem
C)central limit theorem
D)central estimate theorem

Question

Quizplus · Accepted Answer

The central limit theorem deals with the distribution of sample means, stating that regardless of the population distribution, as the sample size increases, the sampling distribution of the mean approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. This theorem is fundamental to inferential statistics and allows us to make predictions and draw conclusions about a population based on sample data.

Perspectives on the Mean and Standard Deviation of a Sampling