Question

One sample has SS = 44 and a second sample has SS = 40.

Let's say that n = 8 for both samples. If we were to calculate the the two sample variances, they would be: s₁² = 6.286 and s₂² = 5.714.

(a) Calculate the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances. (Use 3 decimal places.)
s_p² =

Now assume that n₁ = 8 for the first sample (again, with a sample variance of s₁² = 6.286), but now a sample size of n₂ = 18 for the second (which will change the second sample variance to s₁² = 2.353).

(b) Again, calculate the pooled variance. You should find that the pooled variance is closer to the variance for the larger sample. (Use 3 decimal places.)
s_p² =

Answer 1

For further queries, please comment below.

Thank you.