So, I have a sample dataset of size 500, and I've bootstrapped it 1000 times and took the mean of each bootstrap sample. So now, I have a list of means a.k.a
listofmeans and I'm trying to calculate the confidence interval of the
listofmeans. When I google the regular formula for confidence interval, the formula is
z +/- std.dev/sqrt(n)
However, the reply in this stackoverflow post and answer by Bogdan Lalu in this post, the calculation of the bootstrap confidence interval seem to only take the standard deviation and not dividing it by square root.
So why don't we take the division of the square root for the bootstrap confidence interval?