The notation for the standard deviation of the sampling distribution of the sample mean is __________.
A) $\sigma _ { \bar { X } } \text { or } s _ { \bar { X } }$
B)?x
C) $\sigma _ { \bar { X } / \mathbf { n } }$
D)?

Question

Quizplus · Accepted Answer

The notation for the standard deviation of the sampling distribution of the sample mean is either $\sigma _ { \bar { X } }$ or $s _ { \bar { X } }$, depending on whether the population standard deviation or the sample standard deviation is used in the calculation. Choice B ($\sigma _ { x }$) is incorrect since that refers to the population standard deviation of the variable x, not the standard deviation of the sampling distribution of the sample mean. Choice C ($\sigma _ { \bar { X } / \mathbf { n } }$) is also incorrect since that notation represents the standard error of the mean, not the standard deviation of the sampling distribution of the sample mean. Choice D ($\mu$) is the symbol used for the population mean, not the standard deviation of the sampling distribution of the sample mean.

The Notation for the Standard Deviation of the Sampling Distribution σXˉ or sXˉ\sigma _ { \bar { X } } \text { or } s _ { \bar { X } }σXˉ​ or sXˉ​

The Notation for the Standard Deviation of the Sampling Distribution $\sigma _ { \bar { X } } \text { or } s _ { \bar { X } }$