Statistical inference · sample means · manipulative

Building the distribution of

Top: the population — sampled values light up red. Bottom: each sample’s mean is added to the distribution of .

Population

Distribution of sample means

Draw a sample — each trial becomes a row (values and the mean).

Draw a sample — red marks the n values on top; their mean appears on that x below

Population

μ 10

σ 2

Samples

sample size n 1

play count 20

play speed 3×

Last sample: –

Population vs samples

trials

mean of

–

sd of (observed)

–

σ/√n (theory)

–