Question: A quality-control engineer wants to find out whether or not a new machine that fills bottles with liquid has less variability than the machine currently

A quality-control engineer wants to find out whether or not a new machine that fills bottles with liquid has less variability than the machine currently in use. The engineer calibrates each machine to fill bottles with 16 ounces of a liquid. After running each machine for 5 hours, she randomly selects 15 filled bottles from each machine and measures their contents. She obtains the following results:

(a) Is the variability in the new machine less than that of the old machine at the a = 0.05 level of significance?
(b) Draw boxplots of each data set to confirm the results of part (a) visually.

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