A power curve for a mean is at its lowest point when the true μ is very near μ₀.

Question

Quizplus · Accepted Answer

This is true. The power curve for a mean test, typically a t-test, shows the probability of rejecting the null hypothesis (that the true mean is equal to a specified value) as a function of the sample size and the difference between the sample mean and the specified value. The power curve is at its lowest point when the true mean is very near the specified value, which is often denoted as μ0. In the given context, μ₀ refers to the specified value, and the power curve is at its lowest point when the true mean is very close to it, indicating that the test is least sensitive or accurate in detecting small differences from the specified value.

A Power Curve for a Mean Is at Its Lowest