Calculate the degrees of freedom associated with a small-sample test of hypothesis for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$, assuming
$\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text { and } n _ { 1 } = n _ { 2 } = 16$
A) 30
B) 15
C) 31
D) 33

Question

Quizplus · Accepted Answer

When the variances are assumed equal and sample sizes are the same, the degrees of freedom for the t-test is calculated as $ n_1 + n_2 - 2 = 16 + 16 - 2 = 30 $.

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 $\left( \mu _ { 1 } - \mu _ { 2 } \right)$