A sample of 92 observations is taken from an infinite population.The sampling distribution of $\bar { x }$ is approximately
A) normal because $\bar { x }$ is always approximately normally distributed.
B) normal because the sample size is small in comparison to the population size.
C) normal because of the central limit theorem.
D) none of these alternatives is correct.

Question

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of the sample mean will be approximately normal if the sample size is sufficiently large, typically n > 30, regardless of the population's distribution.

A Sample of 92 Observations Is Taken from an Infinite xˉ\bar { x }xˉ

A Sample of 92 Observations Is Taken from an Infinite $\bar { x }$