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 |
Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means.
The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.05,K,L=M. Otherwise, fail to reject H0."
Use the Critical Values for the Tukey Test
1. What is the value for the number of treatments, K? (2 decimals)
2. What is the value for df for error, L? (2 decimals)
3. What is the critical value, M? (2 decimals)
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