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11 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 2 approximately the same age and are in general good health. Two subjects in each category are chosen at random from a large group points 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? Skipped Systolic Blood Pressure of Subjects (mmHg) Ratio of Subject's Weight to Normal Weight Medication Medication Medication Medication M1 M2 M4 eBook Under 1.1 133 143 138 129 134 134 130 124 References 1. 1 to 1.3 135 137 133 132 145 146 147 132 1.3 to 1.5 145 149 149 140 151 154 150 138 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses. a. He: A1 # A2 # A3 = 0 Weight means differ H1: All the Aj are equal to zero - weight means are the same b. He: A1 = A2 = A3 = 0 weight means are the same H1: Not all the Aj are equal to zero - Weight means differ O a Ob11 (a-2) Choose the correct column-effect hypotheses. a. He: B1 + B2 + B3 + 0 Medication means differ 2 H: All the Bo are equal to zero Medication means are the same points b. Ho: B1 = B2 = B3 = 0 Medication means are the same Hy: Not all the 8% are equal to zero Skipped Medication means differ O a eBook Ob References (a-3) Choose the correct interaction-effect hypotheses. a. He: Not all the AB j are equal to zero there is an interaction effect H1: All the ABjk are equal to zero there is no interaction effect b. Ho: All the AB; are equal to zero there is no interaction effect Hy: Not all the ABj are equal to zero there is an interaction effect O a Ob H11 (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.) Ints Means : Table of Means Skipped Factor 1 (Weight) Med 1 Med 2 Factor 2 (Medication) Med 3 Med 4 Total 1.1 or Less 1. 1 to 1.3 1.3 to 1.5 e Book Total References ANOVA TABLE Source 55 df MS p-value 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.11 and medication. 2 (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the points first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Skipped Post hoc analysis for Factor 1: Tukey simultaneous comparison t-values (d.f. = 12) eBook 1.1 or Less 1. 1 to 1.3 1.3 to 1.5 References 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: 0. 05 0. 01