Question

For a small sample difference of means test where n1 = 20 and n2 = 20, and we can assume the population variances are equal, the formula for the pooled variance is: A. (s1^2 + s2^2)/2 B. (s1 + s2)/2 C. (s1^2 + s2^2)/(n1 + n2) D. (s1 + s2)/(n1 + n2)

Name: for a small sample difference of means test where n1 20 and n2 20 and we can assume the population variances are equal the formula for the pooled variance is a s12 s222 b s1 s22 c s12 s22n1n 38527
Uploaded: 2023-07-14T11:48:46-08:00
Duration: 1 min 36 s
Channel: Adi S
Description: for a small sample difference of means test where n1 20 and n2 20 and we can assume the population variances are equal the formula for the pooled variance is a s12 s222 b s1 s22 c s12 s22n1n 38527

          For a small sample difference of means test where n1 = 20 and n2 = 20, and we can assume the population variances are equal, the formula for the pooled variance is:
A. (s1^2 + s2^2)/2
B. (s1 + s2)/2
C. (s1^2 + s2^2)/(n1 + n2)
D. (s1 + s2)/(n1 + n2)

Added by Kayla F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

07/14/2023

Step 1

The formula for pooled variance is: Pooled Variance = [(n1 - 1) * s1^2 + (n2 - 1) * s2^2] / (n1 + n2 - 2) Now, we are given that n1 = 20 and n2 = 20. So, the formula becomes: Pooled Variance = [(20 - 1) * s1^2 + (20 - 1) * s2^2] / (20 + 20 - 2) Simplifying the Show more…

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For a small sample difference of means test where n1 = 20 and n2 = 20, and we can assume the population variances are equal, the formula for the pooled variance is: A. (s1^2 + s2^2)/2 B. (s1 + s2)/2 C. (s1^2 + s2^2)/(n1 + n2) D. (s1 + s2)/(n1 + n2)