37
27
Confidence Intervals
For a random sample of size from normal distribution with known variance
, the
confidence intervals for the population mean may be calculated as given by:
(90% confidence interval)
(95% confidence interval)
(99% confidence interval)
: sample mean
Program
?→ A:
-1.96×√(A ÷
)→ B:
+1.96×√(A ÷
)→ C:B
C
<
39 STEP
>
:
:
INPUT
A
: Population variance
OUTPUT
B
,
C
: 95% confidence interval
Execution Example:
Calculate 95% confidence intervals.
Data: 1.4, 1.5, 1.3, 1.4, 1.7, 1.5, 1.3 Population variance
The interval of 95% certainty for is:
1.338<
<1.548
n
σ
2
µ
x
1
.64
σ
n
-------
×
–
µ
x
1
.64
σ
n
-------
×
+
< <
x
1
.96
σ
n
-------
×
–
µ
x
1
.96
σ
n
-------
×
+
< <
x
2.57
σ
n
-------
×
–
µ
x
2.57
σ
n
-------
×
+
< <
x
ON
MODE
MODE
MODE
1
PRGM
MODE
MODE
1
SD
1
P1
x
n
x
n
x
SHIFT
2
S-VAR
1
x
n
SHIFT
1
S-SUM
3
n
σ
2
B
µ
C
< <
σ
2
0.02
=
µ
µ
MODE
MODE
1
SD
SD
S A
D R
P1
P1 P2 P3 P4
G
1
4
M+
DT
SD
S A
D R
P1
P1 P2 P3 P4
G
関数電卓事例集
.book 37
ページ
2002年9月2日 月曜日 午後6時51分
Summary of Contents for 3950P
Page 1: ......
Page 46: ...MEMO MEMO MEMO MEMO...
Page 47: ...Authors Dr Yuichi Takeda Research and Development Initiative Chuo University...
Page 48: ......