A manufacturer of automobile transmissions uses five different processes. Manage

Question

A manufacturer of automobile transmissions uses five different processes. Management ordered a study of the production costs to see if there is a difference among the five processes. A summary of the findings is shown below.
Process 1 Process 2 Process 3 Process 4 Process 5 Total   Process Totals ($100's) 138       110       123       139       103       613              Sample Size 7       7       7       7       7       35              Sum of Squares 1,889       1,186       1,172       1,254       1,358       6,859           
What are the degrees of freedom for the treatment sum of squares? 4 5 7 6 A manufacturer of automobile transmissions uses five different processes. Management ordered a study of the production costs to see if there is a difference among the five processes. A summary of the findings is shown below.
Process 1 Process 2 Process 3 Process 4 Process 5 Total   Process Totals ($100's) 138       110       123       139       103       613              Sample Size 7       7       7       7       7       35              Sum of Squares 1,889       1,186       1,172       1,254       1,358       6,859           
What are the degrees of freedom for the treatment sum of squares? 4 5 7 6 4 5 7 6 Process 1 Process 2 Process 3 Process 4 Process 5 Total   Process Totals ($100's) 138       110       123       139       103       613              Sample Size 7       7       7       7       7       35              Sum of Squares 1,889       1,186       1,172       1,254       1,358       6,859           

Explanation / Answer

There are in total 5 processes means 5 treatments .

Let m=number of treatments

Then treatment degrees of freedom=m-1=5-1=4

i.e degrees of freedom for treatment sum of square= 4

Answer is 4

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