A medical researcher wishes to test the effects of three different techniques to lower blood pressure in 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, the decrease in each subject's blood pressure is recorded. The data shown below:
Group 1:
Group 2:
Group 3:
This data is then used, along with a significance level of α = 0.05, to test the claim that there is no difference among the means. Assume that all distributions are normal, the population standard deviations are approximately equal, and the data were collected independently and randomly.
Fill in the blanks to answer the following questions:
Calculate the test statistic for the test:
Find the p-value for the test:
Based on these calculations, the decision is to