A  medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. Participants 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 participants blood pressure is recorded. Group 1 Group 2 Group 3 13 8 6 12 2 12 11 5 4 15 3 4 9 4 9 8 0 8 a) provide the null hypothesis and a two-tailed alternative hypothesis for this research study. b) What are the between group variability and the within group variability for these data? c) Calculate the f-statistics for the data above d) Is there a statistically significant difference in mean blood pressure between the three groups?

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Lowering Blood Pressure 

A  medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. Participants 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 participants blood pressure is recorded.

Group 1 Group 2 Group 3
13 8 6
12 2 12
11 5 4
15 3 4
9 4 9
8 0 8

a) provide the null hypothesis and a two-tailed alternative hypothesis for this research study.

b) What are the between group variability and the within group variability for these data?

c) Calculate the f-statistics for the data above

d) Is there a statistically significant difference in mean blood pressure between the three groups?

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