Given the following information, calculate Sp², the pooled sample variance that should be used in the pooled-variance t test.
S₁² = 4 S₂² = 6
N₁ = 16 n₂ = 25
A) Sp² = 6.00
B) Sp² = 5.00
C) Sp² = 5.23
D) Sp² = 4.00

Question

Quizplus · Accepted Answer

The formula for calculating pooled sample variance (Sp²) is:

Sp² = ((n₁ - 1)S₁² + (n₂ - 1)S₂²) / (n₁ + n₂ - 2)

Plugging in the values given:

Sp² = ((16 - 1)(4) + (25 - 1)(6)) / (16 + 25 - 2) = 5.23

Therefore, the best choice is C.

Given the Following Information, Calculate Sp², the Pooled Sample Variance