To check pain-relieving medications for potential side effects on blood pressure, it is decided to give equal doses of each of four medications to test subjects. To control for the potential effect of weight, subjects are classified by weight groups. Subjects are approximately the same age and are in general good health. Two subjects in each category are chosen at random from a large group of male prison volunteers. Subjects' blood pressures 15 minutes after the dose are shown below. Research question: Is mean blood pressure affected by body weight and/or by medication type? Systolic Blood Pressure of Subjects (mmHg) Ratio of Subject's Weight Medication to Normal Weight MI Under 1.1 130 135 1.1 to 1.3 137 142 1.3 to 1.5 142 153 Medication M2 143 134 135 146 151 158 Medication M3 142 135 135 146 147 153 Medication M4 131 125 131 134 140 139 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses a. He: Aj A2 = A3 = Hy: All the Aj are equal to zero b. He: A1 - A2 - A3 - H1 Not all the Aj are equal to zero =@ Weight means differ Weight means are the same Weight means are the same Weight means differ ob (a-2) Choose the correct column-effect hypotheses. F a. He: B] - B2 B3 Hi : All the Bx are equal to zero b. He: B1 = B2 = B3 - 0 H1: Not all the Bh are equal to zero E Medication means differ Medication means are the same Medication means are the same Medication means differ h (b) Fill in the missing data. (Round your table of means values to 1 decimal place, SS and Fvalues to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.) Table of Means Factor 2 (Medication) Med 2 Med 3 Med 1 Med 4 Total Means: Factor 1 (Weight) 1.1 or Less 1.1 to 1.3 1.3 to 1.5 Total ANOVA TABLE df SS MS p-value Source Factor 1 (Weight) Factor 2 (Medication) Interaction Error Total (c) Using a = .05, choose the correct statement The main effect of weight is significant; however, there is no significant effect from medication or interaction between weight and medication. The main effects of weight and medication are significant, but there is not a significant interaction effect. The main effect of medication is significant; however, there is no significant effect from weight or Interaction between weight and medication. (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for Factor 1 Dee af 15 Next (c) Using a = .05, choose the correct statement The main effect of weight is significant; however, there is no significant effect from medication or interaction between weight and medication. The main effects of weight and medication are significant, but there is not a significant interaction effect. The main effect of medication is significant; however, there is no significant effect from weight or interaction between weight and medication. (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for Factor 1: Tukey simultaneous comparison t-values (d.f. = 12) 1.1 or Less 1.1 to 1.3 1.3 to 1.5 1.1 or Less 1.1 to 1.3 1.3 to 1.5 Critical values for experimentwise error rate: 0.05 0.01 Post hoc analysis for Factor 2: Tukey simultaneous comparison t-values (d.f. = 12) Med 4 Med 1 Med 3 Med 2 Med 4 Med 1 Med 3 Med 2 Critical values for experimentwise error rate: @.05 0.81