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 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

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

a.	H0:A1A2A3 0	Weight means differ
	H1: All theAjare equal to zero	Weight means are the same
b.	H0:A1=A2=A3= 0	Weight means are the same
	H1: Not all theAjare equal to zero	Weight means differ

multiple choice 1

• a
• b

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

a.	H0:B1B2B3 0	Medication means differ
	H1: All theBkare equal to zero	Medication means are the same
b.	H0:B1=B2=B3= 0	Medication means are the same
	H1: Not all theBkare equal to zero	Medication means differ

multiple choice 2

• a
• b

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

a.	H0: Not all theABjkare equal to zero	there is an interaction effect
	H1: All theABjkare equal to zero	there is no interaction effect
b.	H0: All theABjkare equal to zero	there is no interaction effect
	H1: Not all theABjkare equal to zero	there is an interaction effect

multiple choice 3

• 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 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

(c)Using= 0.05, choose the correct statement. multiple choice 4

The main effect of medication is significant; however, there is no significant effect from weight or interaction between weight and medication.

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.

(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 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 comparisont-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