Given the information: , , , , 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
E) 32

Question

Given the information:  ,  ,  ,  , 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 
E) 32

Quizplus · Accepted Answer

To determine the degrees of freedom for the pooled-variance t test, we need to add up the sample sizes from both groups (in this case, there are two groups: sample 1 and sample 2), and then subtract 2 to get the degrees of freedom.

Sample size (N1) for sample 1: 062d = 3, which means N1 = 3 hexadecimal = 3 × 16^0 = 3
Sample size (N2) for sample 2: 9f6b = 40043 hexadecimal = 262091 decimal
Total sample size: N1 + N2 = 3 + 262091 = 262094
Degrees of freedom: 262094 - 2 = 262092

Note: It is important to subtract 2 because we are estimating two unknown population parameters (the means) from the sample data.

Given the Information: ,