If the variance for Sample 1 is 5 and the variance for Sample 2 is 3,where = 10 and = 12,what is ?
A)0.36
B)0.71
C)0.81
D)0.85

Question

If the variance for Sample 1 is 5 and the variance for Sample 2 is 3,where  = 10 and  = 12,what is  ?
A)0.36 
B)0.71 
C)0.81 
D)0.85

Quizplus · Accepted Answer

The formula for the pooled variance is:

s^2p = [(n1 - 1)s1^2 + (n2 - 1)s2^2]/(n1 + n2 - 2)

Plugging in the given values, we get:

s^2p = [(10-1)5 + (12-1)3]/(10+12-2) = 58/20 = 2.9

Then, we can calculate the standard error of the difference in means:

SE = sqrt[s^2p/n1 + s^2p/n2]

Plugging in the given values, we get:

SE = sqrt[2.9/10 + 2.9/12] = 0.85

Therefore, the answer is D) 0.85.

If the Variance for Sample 1 Is 5 and the Variance