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 σmean.
My question is: Must σmean 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)?
σmean = σ/sqrt(n)
where σ is the standard deviation of the distribution and n is the sample size.
The Attempt at a Solution
σmean = σ/sqrt(n) = 0.04021/sqrt(29) = 0.007467 or 0.0075?