39
28
Test on a mean with known
(z-tests)
µ
σ
2
The hypothesis of interest is that the mean is equal to a given value
, versus the
alternative that it is not equal to
. We calculate the test statistics
where is the sample mean and is the sample size. If
, we reject the hypothesis
for the significance level
.
For different significance levels, the confidence limits
are given below:
Program
？→ Ａ：？→ Ｂ：（
－ Ａ）÷√（Ｂ ÷
）→ Ｃ：Ｃ ＜
24 STEP
＞
:
:
`
INPUT
Ａ
: given value
Ｂ
:population variance
OUTPUT
Ｃ
: value of
Z
Execution Example:
Test
:
=1.2
：
Data: 1.4, 1.5, 1.3, 1.4, 1.7, 1.5, 1.3 Population variance
=0.02
µ
0
µ
0
Z
x
µ
–
σ
n
-------
------------
=
x
n
Z
1
.96
≥
α
0.05
=
α
Confidence limits
0.10
1.64
0.05
1.96
0.01
2.57
1.96
0
-1.96
ON
MODE
MODE
MODE
1
PRGM
MODE
MODE
1
SD
1
P1
x
n
x
SHIFT
2
S-VAR
1
x
n
SHIFT
1
S-SUM
3
n
µ
0
σ
2
H
0
µ
0
H
1
µ
0
1.2
≠
σ
2
関数電卓事例集
.book 39
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: ......
