Question

A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded, with data as shown below.

The reasearcher will use this data to test the claim that there is no difference among the means. Find the test statistic.

Group 1 13, 12 , 11 15 9 8

Group 2 8 5 2 3 4 0

Group3 4 12 4 8 9 6

Answer 1

Result:

A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded, with data as shown below.

The reasearcher will use this data to test the claim that there is no difference among the means. Find the test statistic.

Group1 13 12 11 15 9 8

Group2 8 5 2 3 4 0

Group3 4 12 4 8 9 6

ANOVA: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Group1	6	68	11.3333	6.6667
Group2	6	22	3.6667	7.4667
Group3	6	43	7.1667	9.7667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	176.7778	2	88.3889	11.0948	0.0011	3.6823
Within Groups	119.5000	15	7.9667
Total	296.2778	17
			Level of significance			0.05

 H1: At least on pair of means are different

Calculated test statistic F=11.095 > 3.682 the table value at 0.05 level.

The null hypothesis is rejected.

The data indicate that there is enough evidence to reject the claim that there is no difference among the means.