File:inf-np-region.png

Figure file · Most powerful tests

Densities of (\overline X-\mu_0)/(\sigma/\sqrt n) under H_0 and under an alternative 1.8 standard errors above \mu_0. The most powerful level-0.05 test rejects to the right of 1.645. The shaded right tail under H_0 is the size. The shaded right tail under the alternative is the power.

Densities of (\overline X-\mu_0)/(\sigma/\sqrt n) under H_0 and under an alternative 1.8 standard errors above \mu_0. The most powerful level-0.05 test rejects to the right of 1.645. The shaded right tail under H_0 is the size. The shaded right tail under the alternative is the power.

Size of this preview: 810 × 426 pixels. Select it to open the high-resolution file.

Summary

Description. Densities of (\overline X-\mu_0)/(\sigma/\sqrt n) under H_0 and under an alternative 1.8 standard errors above \mu_0. The most powerful level-0.05 test rejects to the right of 1.645. The shaded right tail under H_0 is the size. The shaded right tail under the alternative is the power.

Appears in. Most powerful tests

Made by. Drawn with Python and matplotlib from the example data. One script draws every figure in its section.

Download

File usage

This page shows the file: