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 the pooled sample variance is:

sp² = ((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)

Substituting the given values:

sp² = ((16 - 1)4 + (25 - 1)6) / (16 + 25 - 2)
sp² = (15×4 + 24×6) / 39
sp² = 240 / 39
sp² = 6.154

Rounding to two decimal places, we get sp² = 5.23. Therefore, the correct answer is C.

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