Processing math: 100%
Biostatistics I: Inference
Orinal Author Antoine Soetewey
Modifications by Nicholas Kaukis
Inference for:
one mean
one mean
Sample Mean:
¯
x
=
sample Size:
n
=
Population standard deviation
σ
known
σ
=
Sample Standard Deviation:
s
Differences sample mean:
¯
x
D
=
Differences Sample Size:
n
D
=
Differences population standard deviation
σ
D
known
σ
D
=
Differences sample standard deviation:
s
D
¯
x
1
=
n
1
¯
x
2
=
n
2
Population standardard deviations known.
s
1
s
2
Assuming
σ
1
=
σ
2
σ
1
≠
σ
2
σ
1
=
σ
2
=
Sample size
n
=
Proportion of success
ˆ
p
Number of successes
x
Proportion of success
ˆ
p
=
Number of successes
x
=
Sample size 1
n
1
=
Sample size 2
n
2
=
Proportion of success
ˆ
p
Number of successes
x
Proportion of success
ˆ
p
1
=
ˆ
p
2
=
Number of successes
x
1
=
x
2
=
Null hypothesis
H
0
:
μ
=
H
0
:
μ
1
−
μ
2
=
H
0
:
μ
D
=
H
0
:
p
=
H
0
:
p
1
−
p
2
=
Alternative
≠
>
<
Significance level
α
=
0.001
0.1
0
0
0.05
0.001
0.011
0.021
0.031
0.041
0.051
0.061
0.071
0.081
0.091
0.1