If two independent samples of size 10 with unequal standard deviations are used to test the difference between the means, the degrees of freedom for a t-statistic are 18.

Question

Quizplus · Accepted Answer

The degrees of freedom for a two-sample t-test with unequal variances can be calculated as follows:

df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1-1) + ((s2^2/n2)^2)/(n2-1)]

Given the sample sizes of n1=10 and n2=10, and unequal standard deviations, the degrees of freedom should be

df = [(s1^2/10 + s2^2/10)^2] / [((s1^2/10)^2)/9 + ((s2^2/10)^2)/9]

We cannot determine the exact degrees of freedom just from the information provided. Therefore, the statement in the question is false.

If Two Independent Samples of Size 10 with Unequal Standard