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## Homework Statement

In a physics lab, Logger Pro software generated statistical estimators such as the standard deviation

*σ*= 0.04021 of a sample of size

*n*= 29.

Among other things, I must calculate the standard error of the mean

*σ*

_{mean}.

My question is:

__Must__*σ*_{mean}have four sig figs or two (i.e., do I account for the number of sig figs in the sample size, even though*n*has no error associated with it)?## Homework Equations

*σ*

_{mean}=

*σ*/sqrt(

*n*)

where

*σ*is the standard deviation of the distribution and

*n*is the sample size.

## The Attempt at a Solution

*σ*

_{mean}=

*σ*/sqrt(

*n*) = 0.04021/sqrt(29) = 0.007467 or 0.0075?