Is there the difference in variation in output of one shift in the manufacturing plant than in another shift? In the effort to study this problem, plant managers collect productivity reports for morning shift and afternoon shift. The report shows:
Morning Shift

Afternoon Shift

S= 270.02

S= 359.96

n=8

n=7

Employ the data and α=.01 to test to find out whether the variance of productivity for two shifts are the same. Suppose productivity is normally distributed in population.