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The data in table is from a randomized block design represent blood pressure measurements from an experiment involving 4 age groups, each with 3 persons.

The data in table is from a randomized block design represent blood pressure measurements from an experiment involving 4 age groups, each with 3 persons. The 3 persons within each age group were randomly assigned to drugs, A, B and C with one person per drug. This was done to keep the drug assignments balanced within age groups. Comparing the three drugs in manner that provides balance for or control for possible age effects. Consider the data given in table below and compute;
a. Mean Square Due to Treatments (MSTR)
b. Mean Square Due to Blocks (MSBL)
c. Mean Square Due to Error (MSE)
d. F-test
\table[[,Treatments,],[Age Groups (Blocks),A,B,C,Total Blocks],[1,70,72,80,222],[2,76,84,82,242],[3,82,86,84,252],[4,90,92,88,270],[Total,318,334,334,986]]
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