Casio FX-CG20 AU User Manual page 272

k Confidence Interval
Confidence Interval
Z
1-Sample Interval
Z
2-Sample Interval
Z
1-Prop Interval
Z
2-Prop Interval
t
1-Sample Interval
t
2-Sample Interval
(pooled)
t
2-Sample Interval
(not pooled)
α : level of significance
( α /2): upper α /2 point of standard normal distribution
Z
( α /2): upper α /2 point of
t
df
Lower
: confidence interval lower limit
Upper
: confidence interval upper limit
o
Lower, Upper
= +
o
Lower, Upper
= (
1
Lower, Upper x n
= /
Lower, Upper x
= ( /
1
α
Z x n
+ ( /2) ( / · (1 –
1 1
o
Lower, Upper
= +
o
Lower, Upper
= ( –
1
2
n n
s = (( – 1)s + (
p
x
1 1 2
o
Lower, Upper
= (
1
df 2 n
= 1/(C /( – 1) + (1 – C)
1
2 2
n n
C = (s / )/(s /
x x
1 1 1 1
α = 1 − [C-Level ]
C-Level : confidence level (0
t df
distribution with
6-70
α
Z σ n
( /2) · /'
α
o
2
Z σ n
– ) + ( /2) /
2 1
1
α
Z n x n
+ ( /2) 1/ · ( / · (1 –
n x n
– / )
1 2 2
x n n x n
/ ))/ + ( / · (1 –
1 1 1 2 2
α
t n
( /2) · s /'
x
n
−1
α
o
2
t
) + ( /2) s (1/
p
n n
2 + −2
1 2
2
n n
– 1)s )/( + – 2)
x
2 1 2
α
o
2
t
– ) + ( /2) s /
df
2 x
1
2 n
/( – 1))
2
2
n
+ s / )
x
2 2
degrees of freedom
2
σ n
+ /
2
2
x n
/ ))
x n n
/ ))/
2 2 2
n n
+ 1/ )
1 2
2
n n
+ s /
1 x 2
2
C-Level < 1)