A team of psychologists designed the study in which 12 psychiatric patients diagnosed as having generalized anxiety disorder were randomly assigned to one of 3 new kinds of therapy, here labeled X, Y, and Z. One year after therapy, the patients' entire mental health scores were as follows:
Mental Health Assessment
Therapy X- 85 79 84 67
Therapy Y 78 81 68 75
Therapy Z 79 83 75 74
a. Employ the 5 steps of hypothesis testing. Show all work.
b. Describe the logic of what you've done to a person who is unfamiliar with analysis of variance.