A researcher reports that the standard deviation in Population A is $\sigma$ = 2.3 and the standard deviation in Population B is $\sigma$ = 4.3.Which population is associated with the highest power to detect an effect?
A) Population A
B) Population B
C) They are associated with the same level of power.

Question

Quizplus · Accepted Answer

A smaller standard deviation indicates less variability in the data, which leads to a greater power to detect an effect. Therefore, Population A, with a smaller standard deviation, is associated with a higher power to detect an effect.

A Researcher Reports That the Standard Deviation in Population a Is