Casio CLASSPAD 330 3.04 User Manual page 433

t
2-Sample Te t
Menu: [Test]-[Two-Sample TTest]
De cription: This command compares the population means of two populations when
population standard deviation is unknown. A 2-Sample
distribution.
t = t =
This formula is applicable when the population standard deviations of the two
populations are not equal. The denominator is different when the population
standard deviations are equal.
t
The distribution degrees of freedom
population standard deviations of the two populations are equal.
When the two population standard deviations are equal (pooled)
df
=
s =
p
When the two population standard deviations are not equal (not pooled)
df =
C =
Definition of Term
μ condition : sample mean value test conditions (" " specifies two-tail test, "<"
1
List(1) :
List(2) :
Freq(1) :
Freq(2) :
Pooled :
:
1
s :
x
1
n
:
1
:
2
s :
x
2
n
:
2
7-9-10
Tests
— —
1 1 2 2
2 2 2 2
s s s s
+ +
x x x x
1 1 2 2
n n n n
1 1 2 2
n n
+ – 2
1 2
(n –1)s +(n –1)s
2
x
1 2
1
n + n – 2
1 2
1
2 2
C (1–C )
+
n –1 n –1
1 2
s
2
x
1
n
1
s s
2 2
x x
1 2
+ n
n
1 2
specifies one-tail test where sample 1 is smaller than sample 2, ">"
specifies one-tail test where sample 1 is greater than sample 2.)
list where sample 1 data is located
list where sample 2 data is located
frequency of sample 1 (1 or list name)
frequency of sample 2 (1 or list name)
On or Off
sample mean of sample 1 data
sample standard deviation of sample 1 (s
size of sample 1 (positive integer)
sample mean of sample 2 data
sample standard deviation of sample 2 (s
size of sample 2 (positive integer)
20090601
: sample mean of sample 1 data
1
: sample mean of sample 2 data
2
s : sample standard deviation of sample 1
x
1
s : sample standard deviation of sample 2
x
2
n
: size of sample 1
1
n
: size of sample 2
2
df
and s differ according to whether the
p
2
x
2
> 0)
x
1
> 0)
x
2
t t
Test is used for