Formular Sheet - Formular Sheet Chi square test Single...

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Unformatted text preview: Formular Sheet Chi square test Single Population Parameter: σ 2 Two Populations σ 12 Parameter: 2 σ2 ( n −1) s 2 χ= 2 2 σ s12 F= 2 s2 d.f: ν 1 = n1 − 1 ; ν 2 = n2 − 1 1 F1−α/ 2,ν ,ν = 12 Fα/ 2,ν ,ν 21 which is χ 2 distributed and d.f = (n-1) ( n − 1) s 2 LCL = 2 χα /2,n−1 ( n − 1) s 2 2 χ1−α /2,n−1 2 s1 1 LCL = 2 s2 Fα /2,ν 1 ,ν 2 UCL = 2 s1 UCL = 2 Fα /2,ν ,ν 12 s2 H a : σ 1 σ 2 ≠ 1 : F > Fα / 2 or F < F1−α / 2 2 2 Reject if χ < χ1−α ,n−1 H a : σ 1 σ 2 > 1 : F > Fα H a : σ 1 σ 2 < 1 : F < F1− α ...
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