1.A clinical psychologist has noted that autistic children seem to respond to treatment better if they are in a familiar environment. To evaluate the influence of environment, the psychologist selects a group of 12 autistic children who are currently in treatment and randomly divides them into three groups. One group continues to receive treatment in the clinic as usual, another group receives treatment sessions at home, and a third group receives half the treatment sessions in the clinic and half at home. After six weeks the psychologist evaluates the progress for each child.

Based on the following hypothetical data, answer the questions below, showing the appropriate formula and your work when appropriate: