Given the following information, calculate sp2, the pooled sample variance that should be used in the pooled-variance t test.
$ \begin{array}{ll}s_{1}^{2}=4 & s_{2}^{2}=6 \ n_{1}=16 & n_{2}=25\end{array} $

A) $ s \mathrm{p}^{2}=5.00 $

B) $ s_{p}^{2}=4.00 $

C) $ s_{p}^{2}=5.23 $

D) $ s_{\mathrm{p}}{ }^{2}=6.00 $

Question

Given the following information, calculate sp2, the pooled sample variance that should be used in the pooled-variance t test. 
$ \begin{array}{ll}s_{1}^{2}=4 & s_{2}^{2}=6 \ n_{1}=16 & n_{2}=25\end{array} $

A) $ s \mathrm{p}^{2}=5.00 $

B) $ s_{p}^{2}=4.00 $

C) $ s_{p}^{2}=5.23 $

D) $ s_{\mathrm{p}}{ }^{2}=6.00 $

Quizplus · Accepted Answer

According to the formula for sp2 in a pooled-variance t test, sp2 = [(n1 - 1)s1^2 + (n2 - 1)s2^2] / (n1 + n2 - 2), where n1 and n2 are the sample sizes and s1^2 and s2^2 are the sample variances of the two groups being compared. In this case, we only have one group (S1) with a sample size of n1 = S1U1P1 and a sample variance of s1^2 = S1S1P0S1U1P1. Since we do not have any information about a second group, we cannot calculate sp2 and the pooled-variance t test cannot be used. Therefore, none of the choices are correct.

Given the Following Information, Calculate Sp2, the Pooled Sample Variance s12=4s22=6n1=16n2=25 \begin{array}{ll}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 Sp2, the Pooled Sample Variance $\begin{array}{ll}s_{1}^{2}=4 & s_{2}^{2}=6 \\ n_{1}=16 & n_{2}=25\end{array}$