Question

determine if the statement is true or false.
the degrees of freedom for the appropriate hypothesis test comparing two population means with population variances that are unknown but assumed to be not equal are determined by ( n_1 + n_2 - 2 ).
true
false

Explanation:

When comparing two population means with unknown and unequal variances, the degrees of freedom formula is more complex (using the Welch - Satterthwaite approximation), not \(n_1 + n_2-2\). The formula \(n_1 + n_2 - 2\) is used when variances are unknown but assumed equal (pooled - variance \(t\) - test). So the statement is false.

Answer:

False