Which of the following is not synonymous with the sampling distribution of the sample mean?
A)Distribution of $\bar { x }$
B) Distribution of the variable $\bar { x }$
C) Distribution of a variable in a sample of a given size for a given $\bar { x }$
D) Distribution of all possible sample means from samples of a given size

Question

Which of the following is not synonymous with the sampling distribution of the sample mean?  
A)Distribution of $\bar { x }$ 
B) Distribution of the variable $\bar { x }$
C) Distribution of a variable in a sample of a given size for a given $\bar { x }$
D) Distribution of all possible sample means from samples of a given size

Quizplus · Accepted Answer

The sampling distribution of the sample mean refers to the distribution of all possible sample means from samples of a given size, not the distribution of a variable in a sample for a given $\bar { x }$. Choices A, B, and D correctly describe aspects of the sampling distribution of the sample mean.

Which of the Following Is Not Synonymous with the Sampling xˉ\bar { x }xˉ

Which of the Following Is Not Synonymous with the Sampling $\bar { x }$