The Central Limit Theorem Machine
1 · The population,
(drag to redraw):
μ =
–
, σ =
–
We've covered:
Binom(10, 0.75)
Pois(6)
Exp(6)
N(70, 3²)
Or something strange:
Flat
Dragon (long tail)
Bunny ears (two humps)
Spikes
Chaos
Hide distribution and pick a random one
Reveal
2 · Pull samples
Sample size n =
40
Pull 1 sample (watch it)
Pull 100
Pull 5,000
Clear means
3 · The distribution of sample means
0
sample means collected
–
their average (theory says μ)
–
their SD (theory says σ/√n =
–
)