Stats- ANOVA

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AVOVA Homework Week

5

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1

. A research wishes to try three different techniques to lower stress levels of law enforcement personnel diagnosed with high blood pressure. The subjects are randomly assigned to three groups; the first group takes the medication, the second group exercises, and the third group follows a strict diet. After four weeks, the reduction in each person’s blood pressure is record. At a

9

5% significance level, test the claim that there is no difference among the means. The data are shown.

9

12

8

Medication

Exercise

Diet

1

0

6

5

1

2

8

9

3

15

0

13

2

4

What is the critical value?

Compute the test value.

Find the between group variance.

Find the within group variance.

Find the F test value.

Make the decision. [Remember if F is greater than the CV reject the null. If F is less than the CV accept the null].

2. A state employee wishes to see if there is a significant difference in the number of employees working at the DMV. The data are shown. At a 95% significance level, test the claim that there is no difference among the means. Can it be concluded that there is a significant difference in the average number of employees that work at the DMV?

10

1

12

1

1

0

9

10

1

11

1

11

Raleigh-Durham

Greensboro

Wayne County

7

1

14

32

19

11

What is the critical value?

Compute the test value.
Find the between group variance.
Find the within group variance.
Find the F test value.

Make the decision. [Remember if F is greater than the CV reject the null. If F is less than the CV accept the null].

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