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Statistics
Hypothesis Testing
Normal
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Cards (3)
Sample mean
:
X
‾
∼
N
(
μ
,
σ
2
n
)
\overline{X}\ \sim\ N\left(\mu,\ \frac{\sigma^2}{n}\right)
X
∼
N
(
μ
,
n
σ
2
)
,
n
is the sample size
H
0
H_0
H
0
:
μ
=
\mu\ =
μ
=
k
\ k
k
H
1
H_1
H
1
:
μ
>
k
\mu>\ k
μ
>
k
or
μ
<
k
\mu<\ k
μ
<
k
or
μ
≠
k
\mu\ne k
μ
=
k
(two-tailed)
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