Casio Algebra FX 2.0 PLUS User Manual page 22

u u u u u 2-Sample t Test
t
2-Sample Test compares the population means when the population standard deviations
are unknown. The 2-Sample
The following applies when pooling is in effect.
– o
o
t
1
=
σ
x
2
p n–1
(n
σ
=
x
p n–1
df n n
= + – 2
1 2
The following applies when pooling is not in effect.
– o
o
1
t =
σ
x
2
1 n–1 +
n
1
df =
2
C
+
–1
n
1
x
1
C =
σ
x
2
1 n–1
n
1
Perform the following key operations from the statistical data list.
3(TEST)
c(T)
c(2-Smpl)
1-2-13
Tests (TEST)
t
Test is applied to
2
1 + 1
n n
1 2
σ
–1)x +(n –1)x
2
1 1 2
n–1
+ n – 2
n
1 2
2
σ
x
2
2 n–1
n
2
1
(1–C ) 2
–1
n
2
σ
2
n–1
n
1
σ
x
2
+ 2 n–1
n
2
20011101 20010101
t
-distribution.
o : mean of sample 1
1
: mean of sample 2
o
2
σ
x
: standard deviation of
n
1 -1
sample 1
σ
x
: standard deviation of
2 n -1
σ
sample 2
2
2
n–1
n
: size of sample 1
1
n
: size of sample 2
2
x σ
: pooled sample standard
p n
-1
deviation
df
: degrees of freedom
: mean of sample 1
o
1
o : mean of sample 2
2
x σ
: standard deviation of
1 n -1
sample 1
x σ
: standard deviation of
n
2 -1
sample 2
n
: size of sample 1
1
n
: size of sample 2
2
df
: degrees of freedom