# D&G Industries operates three shifts every day of the week. Each shift includes full-time hourly workers, nonsupervisory

## Question:

D&G Industries operates three shifts every day of the week. Each shift includes full-time hourly workers, nonsupervisory salaried employees, and supervisors/

managers. D&G Industries would like to know if there is a difference among the shifts in terms of the number of hours of work missed due to employee illness. To control for differences that might exist across employee groups, D&G Industries randomly selects one employee from each employee group and shift and records the number of hours missed for one year. The results of the study are shown here:

Shift 1 Shift 2 Shift 3 Hourly 48 54 60 Nonsupervisory 31 36 55 Supervisors/Managers 25 33 40

**a.** Develop the appropriate test to determine whether blocking is effective or not. Conduct the test at the a = 0.05 level of significance.

**b.** Develop the appropriate test to determine whether there are differences in the average number of hours missed due to illness across the three shifts.

Conduct the test at the a = 0.05 level of significance.

**c.** If it is determined that the average hours of work missed due to illness are not the same for the three shifts, use the LSD approach to determine which shifts have different means.

## Step by Step Answer:

**Related Book For**

## Business Statistics

**ISBN:** 9781292220383

10th Global Edition

**Authors:** David Groebner, Patrick Shannon, Phillip Fry