WOLFRAM|DEMONSTRATIONS PROJECT

The Power of a Test Concerning the Mean of a Normal Population

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test type
H
a
:μ≥
μ
0
H
0
:μ=
μ
0
H
a
:μ≤
μ
0
H
0
:μ=
μ
0
H
a
:μ≠
μ
0
H
0
:μ=
μ
0
μ
2
μ
0
0
population variance
9
sample size
10
boundary
1.5
This Demonstration considers the three basic hypothesis tests about the mean of a normal population whose parameters are controlled by the first and third sliders. The area of the blue region is the significance level of the selected test, and the area of the purple region is the power of the selected test.