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A company that fills one-gallon containers of water has four machines. The quality control manager needs...

A company that fills one-gallon containers of water has four machines. The quality control manager needs to determine whether the average fill for these machines is the same. For a sample of 19 one-gallon containers, we have the following data of fill measures (x) in quarts.

Machine 1

Machine 2

Machine 3

Machine 4

N

4

6

5

4

x⎯⎯x¯

4.03

4.0017

3.974

4.005

S

0.0183

0.0117

0.0182

0.0129


And the following partial ANOVA table.

Source

SS

DF

MS

F

Treatment

0.002359

Error

Total

0.010579


Determine the degrees of freedom for the treatment, error, and total, and state the critical value of the F statistic at α = .05.

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