We test for a hypothesized difference between two population means: H₀: μ₁ = μ₂. The population standard deviations are unknown but assumed equal. The number of observations in the first sample is 15 and 12 in the second sample. How many degrees of freedom are associated with the critical value? A)24 B)25 C)26 D)27

Question

Quizplus · Accepted Answer

The degrees of freedom for a two-sample t-test when the population standard deviations are unknown but assumed to be equal is calculated using the formula $df = n_1 + n_2 - 2$, where $n_1$ and $n_2$ are the sample sizes. Here, $n_1 = 15$ and $n_2 = 12$, so $df = 15 + 12 - 2 = 25$.

We Test for a Hypothesized Difference Between Two Population Means