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.

Old Machine New Machine 16.01 15.96 15.96 16.05 16.04 16.02 16.00 15.95 16.07 15.89 15.99 16.02 16.05 15.91 15.97 16.04 16.00 16.03 16.05 16.10 16.01 16.00 16.06 15.94 15.95 15.92 16.16 15.92 16.08 15.96

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