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 $n _ { 1 } = n _ { 2 } = 16$.
A) 30
B) 31
C) 15
D) 33

Question

Quizplus · Accepted Answer

The degrees of freedom for a small-sample test of hypothesis comparing two means ($\mu_1 - \mu_2$) with equal variances ($\sigma_1^2 = \sigma_2^2$) and equal sample sizes ($n_1 = n_2 = 16$) is calculated as $df = n_1 + n_2 - 2$. Substituting the given values, $df = 16 + 16 - 2 = 30$.

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