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When the two population standard deviations are equal (pooled)
Lower = (o
Lower = (o
Upper = (o
Upper = (o
When the two population standard deviations are not equal (not pooled)
Lower = (o
Lower = (o
Upper = (o
Upper = (o
df =
df =
C
C
n
n
–1
–1
1
1
C =
C =
s
s
n
n
Definition of Term
C-Level : confidence level (0
List(1) :
list where sample 1 data is located
List(2) :
list where sample 2 data is located
Freq(1) : frequency of sample 1 (1 or list name)
Freq(2) : frequency of sample 2 (1 or list name)
Pooled : On or Off
:
sample mean of sample 1 data
1
s
:
sample standard deviation of sample 1 (s
x
1
n
:
size of sample 1 (positive integer)
1
:
sample mean of sample 2 data
2
s
:
sample standard deviation of sample 2 (s
x
2
n
:
size of sample 2 (positive integer)
2
Calculation Re ult Output
Lower :
interval lower limit (left edge)
Upper :
interval upper limit (right edge)
df
:
degrees of freedom
:
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
s
:
pooled sample standard deviation (Displayed only when pooling is
p
turned on.)
n
:
size of sample 1
1
n
:
size of sample 2
2
7-10-9
Confidence Intervals
– o
– o
)– t
)– t
n
n
+n
+n
–2
–2
1
1
2
2
2
2
1
1
2
2
– o
– o
)+ t
)+ t
–2
–2
1
1
2
2
n
n
+n
+n
2
2
1
1
2
2
s
s
– o
– o
)– t
)– t
1
1
2
2
df
df
2
2
s
s
– o
– o
)+ t
)+ t
1
1
2
2
df
df
2
2
1
1
2
2
(1–C)
(1–C)
2
2
+
+
n
n
–1
–1
2
2
s
s
2
2
x
x
1
1
n
n
1
1
s
s
2
2
2
2
x
x
x
x
1
1
2
2
+
+
n
n
1
1
2
2
C-Level < 1)
20090601
1 +
1 +
1
1
s
s
2
2
p
p
n
n
n
n
1
1
2
2
1 +
1 +
1
1
s
s
2
2
p
p
n
n
n
n
1
1
2
2
s
s
2
2
2
2
x
x
x
x
1
1
2
2
+
+
n
n
n
n
1
1
2
2
s
s
2
2
2
2
x
x
x
x
1
1
2
2
+
+
n
n
n
n
1
1
2
2
0)
x
1
0)
x
2
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