A Mental Health Clinic Analyzed "Improvement Scores"for 40 Clients

A mental health clinic analyzed "improvement scores"for 40 clients. Twenty were college students who had seen either a cognitive/behavioral therapist or a client-centered therapist. The other 20 were 17-21 years old but not in college, and they too were evenly divided between the kinds of therapists. The tables below give the mean improvement score for each group and a summary of the ANOVA. Tell what the study shows. $\begin{array}{cccc}& & \text { College}&\text { Non-College }\\ \text { Kind of } & \text { cognitive/ behavioral } & 12 & 18 \\ \text { Therapist } & \text { client-centered } & 25 & 17 \\\end{array}$

$\begin{array}{lcrr}{\text { Source }} & d f & M S & F \\\hline\text { Therapists } & 1 & 68.24 & 5.07 \\\text { Clients } & 1 & 9.69 & 0.72 \\\text { AB } & 1 & 123.16 & 9.15 \\\text { Error } & 36 & 13.46 &\end{array}$