If we are performing a two-tail test of whether $\mu = 100$ , the probability of detecting a shift of the mean to 105 will be ________ the probability of detecting a shift of the mean to 110.
A) less than
B) greater than
C) equal to
D) not comparable to

Question

Quizplus · Accepted Answer

The probability of detecting a shift (power of the test) increases with the magnitude of the shift. A shift to 110 is larger than a shift to 105, making it easier to detect.

If We Are Performing a Two-Tail Test of Whether μ=100\mu = 100μ=100

If We Are Performing a Two-Tail Test of Whether $\mu = 100$