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10 cards from this deck
xˉ=∑xin\bar{x} = \frac{\sum x_i}{n}xˉ=n∑xi
s2=1n−1∑(xi−xˉ)2s^2 = \frac{1}{n-1}\sum(x_i - \bar{x})^2s2=n−11∑(xi−xˉ)2
Bessel's correction; makes it an unbiased estimator
sn\frac{s}{\sqrt{n}}ns
Xˉ∼N(μ,σ2n)\bar{X} \sim N\left(\mu, \frac{\sigma^2}{n}\right)Xˉ∼N(μ,nσ2)
xˉ±z×sn\bar{x} \pm z \times \frac{s}{\sqrt{n}}xˉ±z×ns
1.96
No, only before sampling; after, μ\muμ is or isn't in interval
Decreases width (smaller standard error)
Use sss when population variance unknown; σ\sigmaσ when known
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