Casio FX-7400GII - SOFTWARE VERSION 2-00 User Manual page 194

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)
: level of significance
Z
( /2): upper /2 point of standard normal distribution
t
( /2): upper /2 point of
df
Distribution (Continuous)
Distribution
Normal
p(x) =
Distribution
t
Student-
p(x) =
Distribution
p(x) =
2
Distribution
p(x) =
F
Distribution
Left: confidence interval lower limit (left edge)
Right: confidence interval upper limit (right edge)
o
= + ( /2) · /'
o o
= ( –
1
Left, Right x n Z
= / +
Left, Right x n
= ( /
1 1
α
Z x n
+ ( /2) ( / · (1 –
1 1
o
Left, Right t
= +
n
−1
o o
Left, Right
= ( –
1
2
n
s = (( – 1)s + (
p
x
1 1
o o
Left, Right
= ( –
1
2
df n
= 1/(C /( – 1) + (1 – C)
1
2 2
n n
C = (s / )/(s /
x x
1 1 1 1
= 1 − [C-Level ] C-Level : confidence level (0
t df
distribution with
Probability Density
2
(x – )
1
–
2
e
( > 0)
2
2
df+
–
2
2
x
df + 1
1 +
2 df
df
df
2
df
df
2
1 1
–1
x 2
2
df
2
ndf + ddf
2
ndf
ndf ddf ddf
2
2
6-54
α
α
2
) + ( /2) / +
2 1
1
α
n x n
( /2) 1/ · ( / · (1 –
x n
– / )
2 2
x n n x n
/ ))/ + ( / · (1 –
1 1 1 2 2
α
n
( /2) · s /'
x
α
2
t
) + ( /2) s (1/
p
n n
2 + −2
1 2
2
n n n
– 1)s )/( + – 2)
x
2 2 1 2
α
2
t n
) + ( /2) s / + s
df
2 x 1
1
2
n
/( – 1))
2
2
n
+ s / )
x
2 2
degrees of freedom
1
x
–
e 2
(x 0)
ndf ndf + ddf
ndf
–
–1
2
ndf x
2
x 1 +
ddf
(x
2
/
2
2
x n
/ ))
x n n
/ ))/
2 2 2
n n
+ 1/ )
1 2
2
n
/
x 2
2
C-Level 1)
Cumulative Distribution
Upper
p = p x
( )
Lower
2
0)
dx