The amount of time single men and women spend on house work is measured for 15 single women and 20 single men. What are the appropriate degrees of freedom for the multiplier t* for a pooled confidence interval for the difference in mean time spent on housework between single men and women?

Question

Quizplus · Accepted Answer

The degrees of freedom for a pooled confidence interval for the difference in means between two independent samples is calculated using the formula for two-sample t-tests with equal variances assumed. The formula is $df = n_1 + n_2 - 2$, where $n_1$ and $n_2$ are the sample sizes of the two groups. Here, $n_1 = 15$ (for women) and $n_2 = 20$ (for men), so $df = 15 + 20 - 2 = 33$.

The Amount of Time Single Men and Women Spend on House