If , then the value is subtracted from each observation in sample 1.This will:
A) "shift" sample 1, effectively making if H₀ is true.
B) correct for non-normality of both populations.
C) effectively do nothing, because subtracting from the values will not change the median.
D) help smooth out discontinuities that occur when attempting to perform the test on discrete data.

Question

If  , then the value  is subtracted from each observation in sample 1.This will:
A) "shift" sample 1, effectively making if H₀ is true. 
B) correct for non-normality of both populations. 
C) effectively do nothing, because subtracting from the values will not change the median. 
D) help smooth out discontinuities that occur when attempting to perform the test on discrete data.

Quizplus · Accepted Answer

Subtracting the same value from each observation in sample 1 will shift the entire sample, effectively adding a constant to the sample mean. This is equivalent to shifting the null hypothesis distribution, which means that the critical values for the test will also be shifted. So, the new critical values will correspond to the same percentile points in the shifted null distribution as the original critical values corresponded to in the original null distribution. This will not correct for non-normality, affect the median, or smooth out discontinuities.

If , Then the Value Is Subtracted from Each