Given the information: $s _ { 1 } ^ { 2 } = 4 , s _ { 2 } ^ { 2 } = 6 , n _ { 1 } = 15 , n _ { 2 } = 25,$ the number of degrees of freedom that should be used in the pooled variance t-test is:
A)40
B)38
C)15
D)25

Question

Quizplus · Accepted Answer

The degrees of freedom for the pooled variance t-test is calculated as $ n_1 + n_2 - 2 $. Here, $ n_1 = 15 $ and $ n_2 = 25 $, so the degrees of freedom is $ 15 + 25 - 2 = 38 $.

Given the Information s12=4,s22=6,n1=15,n2=25,s _ { 1 } ^ { 2 } = 4 , s _ { 2 } ^ { 2 } = 6 , n _ { 1 } = 15 , n _ { 2 } = 25,s12​=4,s22​=6,n1​=15,n2​=25,

Given the Information $s _ { 1 } ^ { 2 } = 4 , s _ { 2 } ^ { 2 } = 6 , n _ { 1 } = 15 , n _ { 2 } = 25,$