Calculate the degrees of freedom associated with a small-sample test of hypothesis for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$, assuming $\sigma _ { 1 } ^ { 2 } \approx \sigma _ { 2 } ^ { 2 }$ and $n _ { 1 } = n _ { 2 } = 20$
A) 30
B) 15
C) 31
D) 33

Question

Quizplus · Accepted Answer

The degrees of freedom for a small-sample test of hypothesis for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$, assuming $\sigma _ { 1 } ^ { 2 } \approx \sigma _ { 2 } ^ { 2 }$ and $n _ { 1 } = n _ { 2 } = 20$ is given by:$$df = n_1 + n_2 - 2 = 20 + 20 - 2 = 38$$Therefore, the correct choice is A) 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 $\left( \mu _ { 1 } - \mu _ { 2 } \right)$