A researcher wishes to try three different techniques to lower the blood pressure of individuals diagnosed with high blood pressure. Fifteen subjects are randomly assigned to three groups: the first group takes medication, the second group exercises, and the third group follows a special diet. Each group is assigned five subjects. After four weeks, the reduction in each person’s blood pressure is recorded. The data collected are shown in the table. Test the claim that there is no difference among means at α=0.05. Medication Exercise Diet 6 10 7 14 10 6 15 9 5 14 5 8 13 6 6
A researcher wishes to try three different techniques to lower the blood pressure of individuals diagnosed with high blood pressure. Fifteen subjects are randomly assigned to three groups: the first group takes medication, the second group exercises, and the third group follows a special diet. Each group is assigned five subjects. After four weeks, the reduction in each person’s blood pressure is recorded. The data collected are shown in the table. Test the claim that there is no difference among means at α=0.05.
| Medication | Exercise | Diet |
| 6 | 10 | 7 |
| 14 | 10 | 6 |
| 15 | 9 | 5 |
| 14 | 5 | 8 |
| 13 | 6 | 6 |
Proceed with the computations for Tukey Test assuming that it is viable to perform a post-hoc analysis.
1. Pairwise Comparison Test 1
Given the hypotheses: H0:μ1=μ2; Ha:μ1≠μ2
Compute for the Tukey's q-statistic. (4 decimals) ______________
2. Pairwise Comparison Test 2
Given the hypotheses: H0:μ1=μ3 ; Ha:μ1≠μ3
Compute for the Tukey's q-statistic.(4 decimals) ______________
3. Pairwise Comparison Test 3
Given the hypotheses: H0:μ2=μ3 ; Ha:μ2≠μ3
Compute for the Tukey's q-statistic. (4 decimals) _______________
4. Decision for the ANOVA test: ___________
5. Conclusion for the ANOVA test: __________
6. From the summary of the ANOVA hypothesis test conducted, is there a need to proceed to Tukey's test?
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