Casio FX-9750GII-SC User Guide - Page 194

I Confidence Interval Confidence Interval 1-Sample Z Interval 2-Sample Z Interval 1-Prop Z Interval 2-Prop Z Interval 1-Sample t Interval Left: confidence interval lower limit (left edge) Right: confidence interval upper limit (right edge)  
 = o + (α /2) · /'  
 = (o1 - o2) + (α /2) 
1
2/ 1 + 
2
2/ 2 Left, Right = x/n + Z(α /2) 1/n · (x/n · (1 - x/n)) Left, Right = (x1/n1 - x2/n2) + Z(α /2) (x1/n1 · (1 - x1/n1))/n1 + (x2/n2 · (1 - x2/n2))/n2 Left, Right = o + tn−1(α /2) · sx/'n 2-Sample t Interval (pooled) Left, Right = (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) Left, Right = (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) A: level of significance A = 1 − [C-Level ] C-Level : confidence level (0 C-Level 1) Z(A/2): upper A/2 point of standard normal distribution tdf (A/2): upper A/2 point of t distribution with df degrees of freedom I Distribution (Continuous) Distribution Normal Distribution Probability Density p(x) = 1 2
 e- (x - )2 2 2 ( > 0) Cumulative Distribution Student-t Distribution C2 Distribution p(x) =  df + 1 2  df 2
1 + x2 df - df+1 2 
df df p(x) = 1  df 2
1 2 2
x df 2 -1 
- e x 2 (x
0) Upper
p = p(x)dx Lower F Distribution p(x) =  ndf + ddf 2  ndf 2 
 ddf 2 ndf ndf ndf 2x2 -1 1 + ndf
- ndf + ddf x2 ddf ddf (x
0) 6-54