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
(3 - 2) ± 4.53 = (-2.377, 4.377) 4.03 4.0017 3.974 4.005
S 0.0183 0.0117 0.0182 0.0129
And the following partial ANOVA table.
Is there a significant difference in the fill amounts of the four machines at α = .05 to reject the null hypothesis?

Question

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
(3 - 2) ± 4.53  = (-2.377, 4.377) 4.03 4.0017 3.974 4.005
S 0.0183 0.0117 0.0182 0.0129
And the following partial ANOVA table.
  Is there a significant difference in the fill amounts of the four machines at α = .05 to reject the null hypothesis?

Quizplus · Accepted Answer

The Answer of 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
(3 - 2) ± 4.53  = (-2.377, 4.377) 4.03 4.0017 3.974 4.005
S 0.0183 0.0117 0.0182 0.0129
And the following partial ANOVA table.
  Is there a significant difference in the fill amounts of the four machines at α = .05 to reject the null hypothesis?

A Company That Fills One-Gallon Containers of Water Has Four