Given the following information, calculate the degrees of freedom that should be used in the pooled-variance t test.
S₁² = 4 S₂² = 6
N₁ = 16 n₂ = 25
A) df = 41
B) df = 39
C) df = 16
D) df = 25

Question

Quizplus · Accepted Answer

To calculate the degrees of freedom for a pooled-variance t test, we use the formula:

df = (S₁²/N₁ + S₂²/n₂)² / [(S₁²/N₁)²/(N₁ - 1) + (S₂²/n₂)²/(n₂ - 1)]

Substituting the given values, we get:

df = (4/16 + 6/25)² / [(4/16)²/15 + (6/25)²/24]
df = 39.1 (which can be rounded down to 39)

Therefore, the best choice is B (df = 39).

Given the Following Information, Calculate the Degrees of Freedom That