Question

A researcher selects a sample of six professors, six students, and six administrators at a local school and has them rate the effectiveness of an innovative new teaching style. In this example, is it possible that the weighted mean ratings will equal the arithmetic mean for the entire sample of 18 participants?

Answer 1

Yes,the weighted mean will be equal to the arithmetic mean for the entire sample of 18 participants.

Explanation:

This is because the researcher took sample sizes that are equal and would be easy to evaluate.