Other things being equal,a large population standard deviation would weaken the power of a test for one mean.

Question

Quizplus · Accepted Answer

A larger population standard deviation would result in a wider distribution of possible sample means, increasing the likelihood that the sample mean falls within the acceptance region and decreasing the likelihood of rejecting the null hypothesis. This would weaken the power of the test.

Other Things Being Equal,a Large Population Standard Deviation Would Weaken