Another form of the alternative hypothesis when testing the difference between the means of the two groups is:
A) $ \mu_{1}-\mu_{2}=0 $
B) $ \mu_{1}-\mu_{2} \neq 0 $
C) $ \mu_{1}-\mu_{2}=2 $
D) $ \mu_{1}-\mu_{2} \neq 2 $

Question

Quizplus · Accepted Answer

The alternative hypothesis when testing the difference between the means of two groups should state that the means are not equal (i.e., they are different), which is represented by option B. Option A implies that the means are equal, which is the null hypothesis, and option C and D specify a particular difference between the means (i.e., 2), which may not be appropriate in all cases.

Another Form of the Alternative Hypothesis When Testing the Difference μ1−μ2=0 \mu_{1}-\mu_{2}=0 μ1​−μ2​=0

Another Form of the Alternative Hypothesis When Testing the Difference $\mu_{1}-\mu_{2}=0$