Is there more variation in the output of one shift in a manufacturing plant than in another shift? In an effort to study this question, plant managers gathered productivity reports from the 8 A.M.to 4 P.M. shift for eight days. The reports indicated that the following numbers of units were produced on each day for this shift.

Productivity information was also gathered from seven days for the 4 P.M. to midnight shift, resulting in the following data.

Use these data and α = .01 to test to determine whether the variances of productivity for the two shifts are the same. Assume productivity is normally distributed in thepopulation.

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5528 4779 5112 5380 4918 4763 5055 5106 43254016 4872 4559 3982 4754 4116