A production manager is examining whether work shift is related to employee absenteeism. The number of days absent over the past year was tallied for random samples of 25 workers on each shift. A portion of the data is shown in the accompanying table.

First ShiftSecond ShiftThird Shift

14.....................5.........................19

7.....................10...........................9

⋮........................⋮...........................⋮

2......................9..........................10

a. Construct an ANOVA table.

b. At the 5% significance level, can we conclude that the mean days of absenteeism differ among the three shifts? Does the conclusion change at the 10% significance level?

c. If significant differences exist, use Fisher's LSD method at the 10% significance level to determine which shifts have different mean days of absenteeism.