Casio FX-9750G PLUS User's Manual & Technical Reference page 329

Example To calculate the 1-Sample
For this example, we will obtain the 1-Sample
= {11.2, 10.9, 12.5, 11.3, 11.7} when C-Level = 0.95.
1(List)c
a.jfw
1(List1)c
1(1)c
1(CALC)
Left ................. interval lower limit (left edge)
Right ............... interval upper limit (right edge)
..................... sample mean
o
σ
x
................ sample standard deviation
n
-1
n
..................... sample size
u u u u u 2-Sample t Interval
t
2-Sample Interval calculates the confidence interval for the difference between
two population means when both population standard deviations are unknown.
t
The interval is applied to
The following confidence interval applies when pooling is in effect.
α
The value 100 (1 – ) % is the confidence level.
Left = (o – o )– t
1 2
Right = (o – o )+ t
1 2
(n –1)x
σ
= 1
x
p n–1
The following confidence interval applies when pooling is not in effect.
α
The value 100 (1 – ) % is the confidence level.
Left = (o – o )– t
1 2
Right = (o – o )+ t
1 2
1
df =
(1–C)
2
C
+
–1
n n
1 2
σ
x
2
1
n–1
n
C =
1
σ
x x
2
1 + 2
n–1
n n
1
t
distribution.
α
σ
x
2
n +n –2
2
p n–1
1 2
α
σ
x
–2
n +n
2 p n–1
1 2
σ σ
+(n –1)x
2
1 2 2 n –1
n–1
+ n – 2
n
1 2
σ
α
x x
2
1 +
n–1
n
df 2
1
σ
α
x
2
1 +
n–1
n
df
2
1
2
–1
σ
2
n–1
2
Confidence Interval
t
Interval for one list of data
1 + 1
n n
1 2
1 + 1
2
n n
1 2
2
σ
2
2 n–1
n
2
σ
x
2
2
n–1
n
2
18 - 7
t
Interval for data
301