o 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 Weightto Normal Weight MedicationM1 MedicationM2 MedicationM3 MedicationM4 Under 1.1 131 146 140 130   135 136 132 125 1.1 to 1.3 136 138 134 131   145 145 147 133 1.3 to 1.5 145 149 146 139   152 157 151 141   correct row of hypothesis a. H0: A1 ≠ A2 ≠ A3 ≠ 0 ⇐⇐ Weight means differ   H1: All the Aj are equal to zero ⇐⇐ Weight means are the same   correct column of Hypothesis H0: B1 ≠ B2 ≠ B3 ≠ 0 ⇐⇐ Medication means differ   H1: All the Bk are equal to zero ⇐⇐ Medication means are the same correct interaction-effect hypotheses H0: Not all the ABjk are equal to zer ⇐⇐ there is an interaction effect   H1: All the ABjk are equal to zero ⇐⇐ there is no interaction effect (b) Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.)  Table of Means Means: Factor 2 (Medication) Factor 1 (Weight) Med 1 Med 2 Med 3 Med 4 Total 1.1 or Less           1.1 to 1.3           1.3 to 1.5           Total               ANOVA TABLE Source SS df MS F p-value Factor 1 (Weight)           Factor 2 (Medication)           Interaction           Error           Total

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o 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
to Normal Weight
Medication
M1
Medication
M2
Medication
M3
Medication
M4
Under 1.1 131 146 140 130
  135 136 132 125
1.1 to 1.3 136 138 134 131
  145 145 147 133
1.3 to 1.5 145 149 146 139
  152 157 151 141
 

correct row of hypothesis

a. H0A1 ≠ A2 ≠ A3 ≠ 0 ⇐⇐ Weight means differ
  H1: All the Aj are equal to zero ⇐⇐ Weight means are the same

 

correct column of Hypothesis

H0B1 ≠ B2 ≠ B3 ≠ 0 ⇐⇐ Medication means differ
  H1: All the Bk are equal to zero ⇐⇐ Medication means are the same

correct interaction-effect hypotheses

H0: Not all the ABjk are equal to zer ⇐⇐ there is an interaction effect
  H1: All the ABjk are equal to zero ⇐⇐ there is no interaction effect

(b) Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.)
 

Table of Means
Means: Factor 2 (Medication)
Factor 1 (Weight) Med 1 Med 2 Med 3 Med 4 Total
1.1 or Less          
1.1 to 1.3          
1.3 to 1.5          
Total          
 

 

ANOVA TABLE
Source SS df MS F p-value
Factor 1 (Weight)          
Factor 2 (Medication)          
Interaction          
Error          
Total          
 

 

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