Normal population's μ: σ: Sample size n: #samples:
sample means: x̄i Paste into Statistics, frequency distribution, histogram to see its histogram etc.
Mean of the sample means μx̄=∑x̄i/#samples: will approach the population μ.
Standard deviation of the sample means (AKA standard error [of the mean], SEM) σx̄= will approach the population σ/√n. σx̄·√n= ≈σ
Try: μ=100 σ=10 #samples 100 or 1000 n=10 SEM=_______ vs Theory: σ/√n=_______ n=30 SEM=_______ vs Theory: σ/√n=_______ n=100 SEM=_______ vs Theory: σ/√n=_______ Sample size n increases: SEM decreases, sample means x̄ closer to μ