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Inference For
Sample Size
Assumptions
H
0
, Test Stat, Reference
Interval
Section
μ
(one mean)
large
n
H
0
:
μ
=#
¯
x
±
z
s
√
n
7.2, 8.2
Z
=
¯
x
−
#
s/
√
n
standard normal
small
n
observations
normal
H
0
:
μ
=#
¯
x
±
t
s
√
n
7.3,8.2
T
=
¯
x
−
#
s/
√
n
t
with
ν
=
n
−
1
μ
1
−
μ
2
large
n
1
,n
2
independent
samples
H
0
:
μ
1
−
μ
2
=#
¯
x
1
−
¯
x
2
±
z
s
s
2
1
n
1
+
s
2
2
n
2
9.1
(di±erence in means)
Z
=
¯
x
1
−
¯
x
2
−
#
s
s
2
1
n
1
+
s
2
2
n
2
standard normal
small
n
1
or
n
2
independent
normal
samples
H
0
:
μ
1
−
μ
2
=#
¯
x
1
−
¯
x
2
±
ˆ
t
s
s
2
1
n
1
+
s
2
2
n
2
use random
ˆ
ν
given on page 357,
or just
ˆ
ν
=min(
n
1
−
1
,n
2
−
1)
9.2
T
=
¯
x
1
−
¯
x
2
−
#
s
s
2
1
n
1
+
s
2
2
n
2
t
with
ˆ
ν
given on page 357,
or just
ˆ
ν
=min(
n
1
−
1
,n
2
−
1)
μ
d
large
n
(paired data)
H
0
:
μ
d
=#
¯
d
±
z
s
d
√
n
9.3
(mean di±erence)
Z
=
¯
d
−
#
s
d
/
√
n
standard normal
small
n
(paired data)
normal di±erences
H
0
:
μ
d
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This note was uploaded on 02/11/2012 for the course STAT 231 taught by Professor Staff during the Fall '08 term at Iowa State.
 Fall '08
 Staff

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