Specialist Mathematics · statistical inference · manipulative

Where people live vs where μ sits

A 95% band for individuals is about two sample sds wide. A 95% CI for the mean divides that margin by √n — grow n and only the CI shrinks.

density 95% of people 95% CI for μ
people half-width 2s
—
CI half-width 2s/√n
—

Gold line is the unknown μ · both estimated intervals are centred at x̄ · jittered dots are this sample

Sample size

9

n is taken from a stored draw of 80, so changing n does not reshuffle the people you already have.

Working