The central limit theorem A)states conditions under which a variable involving the sum of Y₁,..., Y_n i.i.d. variables becomes the standard normal distribution. B)postulates that the sample mean $\bar { Y }$ is a consistent estimator of the population mean $\mu_y$ C)only holds in the presence of the law of large numbers. D)states conditions under which a variable involving the sum of Y₁,..., Y_ni.i.d. variables becomes the Student t distribution.

Question

Quizplus · Accepted Answer

The central limit theorem states that the sum (or average) of a large number of i.i.d. random variables, each with finite mean and variance, will be approximately normally distributed, regardless of the original distribution of the variables.

The Central Limit Theorem A)states Conditions Under Which a Variable Yˉ\bar { Y }Yˉ

The Central Limit Theorem
A)states Conditions Under Which a Variable $\bar { Y }$