Composite Hypothesis Test/Examples/Arbitrary Example 1

Example of Composite Hypothesis Test

Let $\delta$ be a hypothesis test.

Let $H_0$ be the null hypothesis that the probability distribution $X$ of $\delta$ is:

$X$ is normally distributed with an expectation of $2$, but whose variance is unknown.

Then $\delta$ is a composite hypothesis test.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): hypothesis testing
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hypothesis testing