z = x − µ z = x − µ σx

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Formulas for Midterm II ________________________________________________________________________

x −µ z= σ

x = µ+z ⋅σ

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x −µ € z= σx

σ σ2 σx = = n n

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95% Confidence € Interval:

⎛ σ ⎞ ⎛ ⎛ σ ⎞ ⎛ σ ⎞⎞ x ± 1.96⎜ ⎟ = ⎜ x −1.96⎜ ⎟, x +1.96⎜ ⎟⎟ ⎝ n ⎠ ⎝ ⎝ n ⎠ ⎝ n ⎠⎠