Given the following information, calculate the degrees of freedom that should be used in the pooled-variance t test.

$$\begin{array} { l l }
s _ { 1 } ^ { 2 } = 4 & s _ { 2 } ^ { 2 } = 6 \
n _ { 1 } = 16 & n _ { 2 } = 25
\end{array}$$

A) df = 41
B) df = 39
C) df = 16
D) df = 25

Question

Given the following information, calculate the degrees of freedom that should be used in the pooled-variance t test.

$$\begin{array} { l l } 
s _ { 1 } ^ { 2 } = 4 & s _ { 2 } ^ { 2 } = 6 \
n _ { 1 } = 16 & n _ { 2 } = 25
\end{array}$$

A) df = 41
B) df = 39
C) df = 16
D) df = 25

Quizplus · Accepted Answer

The pooled-variance t test uses the following formula for degrees of freedom:df = (s1^2/n1 + s2^2/n2)^2 / ((s1^2/n1)^2/(n1-1) + (s2^2/n2)^2/(n2-1))Plugging in the given values, we get:df = (4/16 + 6/25)^2 / ((4/16)^2/(16-1) + (6/25)^2/(25-1)) = 39

Given the Following Information, Calculate the Degrees of Freedom That s12=4s22=6n1=16n2=25\begin{array} { l l } s _ { 1 } ^ { 2 } = 4 & s _ { 2 } ^ { 2 } = 6 \\n _ { 1 } = 16 & n _ { 2 } = 25\end{array}s12​=4n1​=16​s22​=6n2​=25​

Given the Following Information, Calculate the Degrees of Freedom That $\begin{array} { l l } s _ { 1 } ^ { 2 } = 4 & s _ { 2 } ^ { 2 } = 6 \\n _ { 1 } = 16 & n _ { 2 } = 25\end{array}$