As part of a manufacturing process, a plastic container is supposed to be filled with 46 ounces of saltwater solution. The plant has three machines that fill the containers. Managers are concerned that the machines might not be filling the containers with the same amount of saltwater solution, so they set up a randomized block design to test this concern. A pool of five machine operators operates each of the three machines at different times. Company technicians randomly select five containers filled by each machine (one container for each of the five operators). The measurements are gathered and analyzed. The Minitab output from this analysis follows. What was the structure of the design? How many blocks were there? How many treatment classifications? Is there a statistical difference in the treatment means? Are the blocking effects significant?

Discuss the implications of theoutput.

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Two-way ANOVA: Measurement versus Machine, Operator Source Machine Operator Error Total DF MS 39.15 1.27 5.83 6.72 0.22 78.30 5.09 46.66 130.06 .019 . 807 4 14