Calculate the degrees of freedom associated with a small-sample test of hypothesis for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$, assuming $\sigma _ { 1 } 2 = \sigma _ { 2 } ^ { 2 }$ and $n _ { 1 } = n _ { 2 } = 12$.
A) 11
B) 23
C) 12
D) 25

Question

Quizplus · Accepted Answer

When the variances are assumed equal and the sample sizes are the same, the degrees of freedom for the t-test is calculated as $ n_1 + n_2 - 2 $. Here, $ n_1 = n_2 = 12 $, so the degrees of freedom is $ 12 + 12 - 2 = 22 $.

Calculate the Degrees of Freedom Associated with a Small-Sample Test (μ1−μ2)\left( \mu _ { 1 } - \mu _ { 2 } \right)(μ1​−μ2​)

Calculate the Degrees of Freedom Associated with a Small-Sample Test $\left( \mu _ { 1 } - \mu _ { 2 } \right)$