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A medical researcher wishes to try three different techniques to lower blood pre

ID: 3222837 • Letter: A

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 subjects blood pressure is recorded. Find the critical value F0 to test the claim that there is no difference among the means. Use = 0.05.

Group 1 Group 2 Group 3

9

8

4

12

2

12

11

3

4

15

5

8

13

4

9

8

0

6

A) 39.43                                    B) 19.43                                  C ) 4.77                               D) 3.68

Group 1 Group 2 Group 3

9

8

4

12

2

12

11

3

4

15

5

8

13

4

9

8

0

6

Explanation / Answer

Numerator degrees of freedom = Number of groups - 1 = 3 - 1 = 2

Denominator degrees of freedom = Number of observations - Number of groups = 18 - 3 = 15

Hence,

F critical value for 2 Numerator df and 15 denominator df with 0.05 significance level = 3.68

Option D is correct.

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