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.  (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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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. 

(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. 

Table 3
Sum of
Degree of
Freedom
Mean
Source
F
Squares
(i)
Square
320
Treatments
(iv)
3.98
Error
(ii)
(iii)
(v)
(vi)
(vii)
Total
Transcribed Image Text:Table 3 Sum of Degree of Freedom Mean Source F Squares (i) Square 320 Treatments (iv) 3.98 Error (ii) (iii) (v) (vi) (vii) Total
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