If SS for group one is 32 and SS for group two is 51 and both groups are made up of 7 individuals, what is ?
A) 6.08
B) 1.76
C) 1.39
D) 2.47

Question

If SS for group one is 32 and SS for group two is 51 and both groups are made up of 7 individuals, what is  ?
A) 6.08 
B) 1.76 
C) 1.39 
D) 2.47

Quizplus · Accepted Answer

To calculate the pooled variance (SP²), we first need to calculate the variance for each group by dividing the sum of squares (SS) by the degrees of freedom (df). The df for each group is the number of individuals (n) minus one (df = n-1).

For group one: variance = SS/df = 32/(7-1) = 4
For group two: variance = SS/df = 51/(7-1) = 8.5

Then, we can calculate the pooled variance by weighting the variances for each group by their degrees of freedom and adding them together, then dividing by the total degrees of freedom (n1 + n2 - 2).

SP² = ((n1-1)*variance1 + (n2-1)*variance2)/(n1+n2-2)
     = ((7-1)*4 + (7-1)*8.5)/(7+7-2)
     = 6.08

Therefore, the answer is C) 1.39, which is the square root of the pooled variance (SP), rounded to two decimal places.

If SS for Group One Is 32 and SS for Group