Casio FX-CG10 Software User Guide - Page 262
Lower, Upper, 2 point of standard normal distribution
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k Confidence Interval Confidence Interval 1-Sample Z Interval 2-Sample Z Interval 1-Prop Z Interval 2-Prop Z Interval 1-Sample t Interval Lower: confidence interval lower limit Upper: confidence interval upper limit Lower, Upper = o + Z(α /2) · σ/'n Lower, Upper = (o1 - o2) + Z(α /2) σ12/n1 + σ22/n2 Lower, Upper = x/n + Z(α /2) 1/n · (x/n · (1 - x/n)) Lower, Upper = (x1/n1 - x2/n2) + Z(α /2) (x1/n1 · (1 - x1/n1))/n1 + (x2/n2 · (1 - x2/n2))/n2 Lower, Upper = o + tn−1(α /2) · sx/'n 2-Sample t Interval (pooled) Lower, Upper = (o1 - o2) + tn1+n2−2 (α /2) sp2(1/n1 + 1/n2) sp = ((n1 - 1)sx12 + (n2 - 1)sx22)/(n1 + n2 - 2) 2-Sample t Interval (not pooled) Lower, Upper = (o1 - o2) + tdf (α /2) sx12/n1 + sx22/n2 df = 1/(C2/(n1 - 1) + (1 - C)2/(n2 - 1)) C = (sx12/n1)/(sx12/n1 + sx22/n2) α: level of significance α = 1 − [C-Level ] C-Level : confidence level (0 Ϲ C-Level < 1) Z(α/2): upper α/2 point of standard normal distribution tdf (α/2): upper α/2 point of t distribution with df degrees of freedom 6-69