The expected value of $\bar { x }$ equals the mean of the population from which the sample is drawn _____.
A) only if the sample size is 30 or greater
B) only if the sample size is 50 or greater
C) only if the sample size is 100 or greater
D) for any sample size

Question

Quizplus · Accepted Answer

The expected value of the sample mean $\bar{x}$ is equal to the population mean $\mu$ regardless of the sample size, according to the Central Limit Theorem. This holds true for any sample size, making the statement correct without the need for a minimum sample size condition.

The Expected Value Of xˉ\bar { x }xˉ Equals the Mean of the Population from Which the Sample

The Expected Value Of $\bar { x }$ Equals the Mean of the Population from Which the Sample