Question

Suppose a hypertension trial is mounted and 18 participants are randomly assigned to one of the comparison treatments. Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment. The data are presented in the table below. Compute the totals for each column (1pt).

	Standard Treatment	Placebo	New Treatment
	124	134	114
	111	143	117
	133	148	121
	125	142	124
	128	150	122
	115	160	128
Totals

Is there a difference in mean SBP among treatments at a 5% significance level?

1. Indicate the correct competing hypotheses (1pt):

1. H₀: The means are not all equal.

H₁: The means are all equal.

2. H₀: Treatment group and SBP are independent.

H₁: The null hypothesis is false.

3. H₀: The means are all equal.

H₁: The means are not all equal.

4. H₀: Treatment group and SBP are not independent.

H₁: The null hypothesis is false.

2. Indicate the decision rule (1pt).

1. Reject H₀ if F > 3.68
2. Reject H₀ if F < 3.68
3. Reject H₀ if F > 3.16
4. Reject H₀ if F < 3.16
5. Some other answer; indicate:

Answer 1

applying one way ANOVA on above data:

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	2376.78	2	1188.39	21.07	0.0000	3.68
Within Groups	846.17	15	56.41
Total	3222.94	17

for hypothesis : option C is correct

3. H₀: The means are all equal.

H₁: The means are not all equal.

for decision rule: option A is correct: Reject H₀ if F > 3.68

test statistic value=21.07

as test statistic is higher than critical value reject Ho