If two sets of measures have the same mean, but different variances, the resulting t will be closest to
A) 1.00
B) 3.00
C) 0.00
D) It is impossible to know.

Question

Quizplus · Accepted Answer

The t-statistic primarily measures the difference between the means of two groups relative to the variation in the data. If the means are the same, the numerator in the t-test formula (which represents the difference between the means) will be zero. Since variance does not affect the numerator, only the denominator, a difference in variance will not change the fact that the t-value is closest to 0 when the means are identical.

If Two Sets of Measures Have the Same Mean, but Different