Stats- ANOVA

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 95% significance level, test the claim that there is no difference among the means. The data are shown.

Medication	Exercise	Diet
10	6	5
12	8	9
9	3	12
15	0	8
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?

Raleigh-Durham	Greensboro	Wayne County
7	10	1
14	1	12
32	1	1
19	0	9
10	11	1
11	1	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].