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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.
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?
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].