1 options: A quality control manager at a bottling plant wishes to test whether a new filling machines is less variable than the old machine currently in use. The engineer calibrates each machine to fill bottles with 20 ounces of liquid. After running each machine for an hour, the manager randomly selects ten bottles from the output of each filling machine and measures the fill volume in each bottle. The resulting data is provided in the table below. Is the new machine less variable in its fill volumes than the old machine? Use the = 0.10 level of significance. Old Machine New Machine 20.03 20.06 19.96 20.00 19.92 20.00 20.00 20.07 19.89 20.06 20.08 19.96 19.88 20.04 20.05 19.99 19.97 20.05 19.91 19.96