When conducting hypothesis tests for two sample means, the term $\mu$1 - $\mu$2 in the numerator of the formula reduces to zero because
A) the standard deviations are calculated first
B) the tests are conducted at very low alpha levels
C) the samples are independent as well as random
D) the null hypothesis is assumed to be true

Question

Quizplus · Accepted Answer

The term F1F1F1S1F1F1F101 - F1F1F1S1F1F1F102 reduces to zero in the numerator of the formula when the null hypothesis is assumed to be true. This is because the null hypothesis assumes that the two sample means are equal, and therefore the difference between them (i.e. F1F1F1S1F1F1F101 - F1F1F1S1F1F1F102) should be zero.

When Conducting Hypothesis Tests for Two Sample Means, the Term μ\muμ

When Conducting Hypothesis Tests for Two Sample Means, the Term $\mu$