Given the following information, calculate sp2, the pooled sample variance that should be used in the pooled-variance t test.
$\begin{array} { l l }
s _ { 1 } { } ^ { 2 } 4 & s _ { 2 } { } ^ { 2 } = 6 \
n _ { 1 } = 16 & m _ { 2 } = 25
\end{array}$
A)$s _ { p } ^ { 2 } = 6.00$
B)$s _ { p } ^ { 2 } = 5.00$
C)$s _ { p } ^ { 2 } = 5.23$
D)$s _ { p } ^ { 2 } = 4.00$

Question

Given the following information, calculate sp2, the pooled sample variance that should be used in the pooled-variance t test. 
$\begin{array} { l l } 
s _ { 1 } { } ^ { 2 } 4 & s _ { 2 } { } ^ { 2 } = 6 \
n _ { 1 } = 16 & m _ { 2 } = 25
\end{array}$ 
A)$s _ { p } ^ { 2 } = 6.00$ 
B)$s _ { p } ^ { 2 } = 5.00$ 
C)$s _ { p } ^ { 2 } = 5.23$ 
D)$s _ { p } ^ { 2 } = 4.00$

Quizplus · Accepted Answer

The pooled sample variance is calculated using the formula: $s_p^2 = \frac{(n_1 - 1)s_1^2 + (n_2 - 1)s_2^2}{n_1 + n_2 - 2}$. Substituting the given values: $s_p^2 = \frac{(16 - 1) \times 4 + (25 - 1) \times 6}{16 + 25 - 2} = \frac{60 + 144}{39} = 5.23$.

Given the Following Information, Calculate Sp2, the Pooled Sample Variance s124s22=6n1=16m2=25\begin{array} { l l } s _ { 1 } { } ^ { 2 } 4 & s _ { 2 } { } ^ { 2 } = 6 \\n _ { 1 } = 16 & m _ { 2 } = 25\end{array}s1​24n1​=16​s2​2=6m2​=25​

Given the Following Information, Calculate Sp2, the Pooled Sample Variance $\begin{array} { l l } s _ { 1 } { } ^ { 2 } 4 & s _ { 2 } { } ^ { 2 } = 6 \\n _ { 1 } = 16 & m _ { 2 } = 25\end{array}$