1. A researcher wishes to compare the effect of the rate of stepping on heart rate in a step-aerobics workout. A collection of 30 adult volunteers was randomly divided into three groups of 10 subjects each. Each group did a standard step-aerobics workout with group 1 at a low rate of stepping, group 2 at a medium rate of stepping, and group 3 at a high rate of stepping. The mean heart rate at the end of the workout for all subjects was determined in beats per minute. Assume the data for the three groups are independent and the data are approximately Normal. An ANOVA was run on this data with the partial ANOVA table given below.
The sum of squares (SSG) for groups is
A. 5591.688.
B. 3727.792.
C. 1863.896.
2. A researcher is studying treatments for agorophobia with panic disorder. The treatments are to be the drug Imipramine at the doses 1.5 mg per kg of body weight and 2.5 mg per kg of body weight. There will also be a control group given a placebo. Thirty patients were randomly divided into three groups of 10 each. One group was assigned to the control, and the other two groups were assigned to each of the two treatments. After 24 weeks of treatment, each of the subject's symptoms were evaluated through a battery of psychological tests, where high scores indicate a lessening of symptoms. Assume the data for the three groups are independent and the data are approximately Normal. The P-value is less than 0.01. The correct conclusion is that
A. there is strong evidence that the mean test score is higher for both treatment groups than the control.
B. there is strong evidence that the mean test score is higher for at least one of the two treatment groups than the control.
C. there is strong evidence that the mean test score is not the same for all three groups.