In testing the difference between two sample means , the greater the difference between the two means, the more the value of the t-statistic (t) differs from ______.
A) 0
B) μ
C) the alternative hypothesis
D) the region of rejection

Question

In testing the difference between two sample means  , the greater the difference between the two means, the more the value of the t-statistic (t) differs from ______.
A) 0 
B) μ 
C) the alternative hypothesis 
D) the region of rejection

Quizplus · Accepted Answer

The t-statistic is calculated as the difference between the sample means divided by the standard error of the difference. As the difference between the sample means gets larger, the numerator of this fraction gets larger and therefore the value of the t-statistic gets further away from 0.

In Testing the Difference Between Two Sample Means