If all possible random samples of size N are drawn from a population with a mean of μY and a standard deviation of óᵧ,then as N becomes larger,the sampling distribution of sample means becomes approximately normal with a mean of and a standard deviation of ó?.This statement is known as the
A)sampling frame.
B)sampling distribution.
C)central sampling theorem.
D)central limit theorem.

Question

Quizplus · Accepted Answer

This statement is known as the central limit theorem, which states that as the sample size (N) becomes larger, the sampling distribution of sample means becomes approximately normal with a mean of μY and a standard deviation of óᵧ divided by the square root of N (represented by ó?). The central limit theorem is a fundamental concept in statistics and is widely used in hypothesis testing, confidence intervals, and other statistical analyses.

If All Possible Random Samples of Size N Are Drawn