In testing for the differences between the means of 2 independent populations where the variances in each population are unknown but assumed equal,the degrees of freedom are A)n - 1. B)n₁ + n₂ - 1. C)n₁ + n₂ - 2. D)n - 2.

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Quizplus · Accepted Answer

The formula for the degrees of freedom for the two-sample t-test with equal variances assumes that the variances in each population are equal and unknown. The formula is: df = (n1 - 1) + (n2 - 1) = n1 + n2 - 2 where df is the degrees of freedom, n1 is the sample size of the first population, and n2 is the sample size of the second population. In this case, we have two independent populations with unknown but assumed equal variances. Therefore, the degrees of freedom can be calculated as: df = n1₁ + n2₂ - 2 where ₁ is the sample variance of the first population and ₂ is the sample variance of the second population. This formula reduces to choice C: n₁ + n₂ - 2.

In Testing for the Differences Between the Means of 2