The degrees of freedom for the t statistic to test the hypothesis about two independent samples is ________. A)n B)n - 1 C)n₁ + n₂ D)n₁ +n₂ - 2

Question

Quizplus · Accepted Answer

The degrees of freedom for the t statistic to test the hypothesis about two independent samples is given by: df = (s1^2/n1 + s2^2/n2)^2 / {[(s1^2/n1)^2/(n1 - 1)] + [(s2^2/n2)^2/(n2 - 1)]}. This simplifies to df = n1 + n2 - 2 when the sample sizes are equal and the population variances are assumed to be equal. Therefore, the correct choice is D, n1S1^2/U1B1 + n2S2^2/U2B2 - 2.

The Degrees of Freedom for the T Statistic to Test