A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of $\bar { X }$ is approximately normal because _____.
A) $\bar { x }$ is always approximately normally distributed
B) the sample size is small in comparison to the population size
C) of the central limit theorem
D) None of the answers 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, regardless of the population's distribution. In this case, a sample of 92 observations is considered large enough for the sampling distribution of $\bar{X}$ to be approximately normal.

A Sample of 92 Observations Is Taken from a Process Xˉ\bar { X }Xˉ

A Sample of 92 Observations Is Taken from a Process $\bar { X }$