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

Question

Quizplus · Accepted Answer

When the variances are assumed equal and sample sizes are the same, the degrees of freedom for a 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 } { } ^ { \prime } \mu _ { 2 } \right)(μ1​′μ2​)

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