A researcher wishes to try three different techniques to lower the blood pressure of individuals diagnosed with high blood pressure. The subjects are randomly assigned to three groups; the first group takes medication, the second group exercises, and the third group follows a special diet. After four weeks, the reduction in each person’s blood pressure is recorded. We want to run an ANOVA to find out whether there is evidence at the level α = 0.05 that there is any difference among the means. The data are as follows:

Medication

10

12

9

15

13

Exercise Diet

6

8

3

0

2

Diet

5

9

12

8

4

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what is the conclusion of the null hypothesis

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Turkey test sample sizes