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

to Normal WeightMedication

M1Medication

M2Medication

M3Medication

M4Under 1.11321471391311321331301231.1 to 1.31331401311281441471471331.3 to 1.5144152146136154158149142

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(a-1)Choose the correct row-effect hypotheses.

a.H₀:A₁A₂A₃ 0

Weight means differH₁: All theA_jare equal to zero

Weight means are the sameb.H₀:A₁=A₂=A₃= 0

Weight means are the sameH₁: Not all theA_jare equal to zero

Weight means differ

• a
• b

(a-2)Choose the correct column-effect hypotheses.

a.H₀:B₁B₂B₃ 0

Medication means differH₁: All theB_kare equal to zero

Medication means are the sameb.H₀:B₁=B₂=B₃= 0

Medication means are the sameH₁: Not all theB_kare equal to zero

Medication means differ

• a
• b

(a-3)Choose the correct interaction-effect hypotheses.

a.H₀: Not all theAB_jkare equal to zero

there is an interaction effectH₁: All theAB_jkare equal to zero

there is no interaction effectb.H₀: All theAB_jkare equal to zero

there is no interaction effectH₁: Not all theAB_jkare equal to zero

there is an interaction effect

• a
• b

(b)Fill in the missing data.(Round your table of means valuesto 1 decimal place,SSandFvalues to 2 decimal places,MSvalues to 3 decimal places, andp-values to 4 decimal places.)

Table of MeansMeans:Factor 2 (Medication)Factor 1 (Weight)Med 1Med 2Med 3Med 4Total1.1 or Less1.1 to 1.31.3 to 1.5Total

ANOVA TABLESourceSSdfMSFp-valueFactor 1 (Weight)Factor 2 (Medication)InteractionErrorTotal

(c)Using= .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 yourt-values andcritical values to 2 decimal places and other answers to 1 decimal place.)

Post hoc analysis for Factor 1:

Tukey simultaneous comparisont-values (d.f. = 12)1.1 or Less1.1 to 1.31.3 to 1.51.1 or Less1.1 to 1.31.3 to 1.5Critical values for experimentwise error rate:0.050.01

Post hoc analysis for Factor 2:

Tukey simultaneous comparisont-values (d.f. = 12)Med 4Med 1Med 3Med 2Med 4Med 1Med 3Med 2Critical values for experimentwise error rate:0.050.01