A pharmaceutical company conducted a study to test the effect of a new high blood medication. The company selected 15 subjects from a population. Each subject was randomly assigned to one of three treatment groups equally (i.e. each group consists of five subjects): Group 1 (10mg/day), Group 2 (50mg/day) and Group 3 (100mg/day). After 30 days, doctors measured the blood pressure of each subject. Summary of Analysis of Variance table is shown in Table 3. Table 3 Source Sum of Squares Degree of Freedom Mean Square F Treatments Error (i) (ii) (iv) (v) 320 (vii) 3.98 Total (iii) (vi) (a)Calculate the value for (i)-(vii) from the above table.
1.
A pharmaceutical company conducted a study to test the effect of a new high blood medication. The company selected 15 subjects from a population. Each subject was randomly assigned to one of three treatment groups equally (i.e. each group consists of five subjects): Group 1 (10mg/day), Group 2 (50mg/day) and Group 3 (100mg/day). After 30 days, doctors measured the blood pressure of each subject. Summary of Analysis of Variance table is shown in Table 3.
Table 3
|
Source |
Sum of Squares |
Degree of Freedom |
Mean Square |
F |
|
Treatments Error |
(i) (ii) |
(iv) (v) |
320 (vii) |
3.98 |
|
Total |
(iii) |
(vi) |
(a)Calculate the value for (i)-(vii) from the above table.
(b)Conduct a hypothesis test to test whether all treatment groups have the same mean using a 5% level of significance.
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