Question

Two researchers make a test concerning standardized exam performance among senior high school students in one of two local communities. Researcher A tests performance from the population in the northern community, where the standard deviation of test scores is 110 ( ); Researcher B tests performance from the population in the southern community, where the standard deviation of test scores is 60 ( ). All other things being equal, which researcher has more power to detect an effect? Explain.

Answer 1

Answer:

Researcher B

Step-by-step explanation:

Normally, when all other things being equal, we usually say that power is higher when the standard deviation is small than when it is large.

Now, from researcher A, standard deviation is 110 while from researcher B, standard deviation is 60.

We can see that the standard deviation for researcher B is smaller than that of researcher A.

Therefore, we can conclude that since the standard deviation for researcher B is lesser than that of researcher A, it means that Researcher B will have more power to detect an effect.