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: Is there a significant difference in the fill amounts of the four machines at $\alpha$ = .05 to reject the null hypothesis? A)Reject H₀ B)Fail to Reject H₀

Question

Quizplus · Accepted Answer

We can use the F-test to determine the difference in the fill amounts of the four machines. From the partial ANOVA table, we can see that the calculated value of F is 5.78, while the critical value of F for a 0.05 significance level with 3 and 15 degrees of freedom is 3.03. Since 5.78 > 3.03, we reject the null hypothesis and conclude that there is a significant difference in fill amounts between the four machines. Therefore, choice A is correct.

A Company That Fills Gallon Containers of Water Has Four α\alphaα

A Company That Fills Gallon Containers of Water Has Four $\alpha$