A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 gallon containers we have the following data of fill measures in quarts: and the following partial ANOVA table: Complete the ANOVA table and calculate
A)1.49
B)10.78
C)3.02
D)10.10

Question

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 gallon containers we have the following data of fill measures in quarts:  and the following partial ANOVA table:  Complete the ANOVA table and calculate
A)1.49 
B)10.78 
C)3.02 
D)10.10

Quizplus · Accepted Answer

Completing the ANOVA table, we get the following:

Source of Variation       SS        df     MS           F
Between Groups         110.18     3     36.73       2.91
Within Groups          296.56     15    19.77
Total                  406.74     18

Using α = 0.05, the critical value for F(3,15) is 3.07. Since our F-statistic of 2.91 is less than the critical value of 3.07, we fail to reject the null hypothesis that the average fill for the four machines is the same.

Since there is no significant difference between the machines, we can conclude that their average fill is roughly equal.

The calculated p-value for the test of hypothesis is 0.069. As it is higher than alpha level (0.05), we can accept the null hypothesis.

Therefore, the answer is D) 10.10.

A Company That Fills Gallon Containers of Water Has Four