Statistical inference · confidence intervals · manipulative

Do confidence intervals cover μ?

A bank of sample intervals is already drawn. Grow it, change n or the level, and watch the hit rate settle near the confidence level — most cover μ, not all.

covers μ misses μ true μ

Grow the bank · dashed line is μ · n and level resize widths live

20

How many CIs on the plot. Red bars miss μ — that is allowed.

20
95%

n and level resize every bar live — samples stay.

Coverage

intervals
0
contain μ
0
hit rate
target
95%