In: Operations Management
As an administrator of a company, you are concerned with the absenteeism among your employees . The issue has been raised by employees, who feel they often have to perform work normally done by their assistants. To get the facts, absenteeism data were gathered for the last three weeks, which is considered a representative period for future conditions. After taking random samples of 64 personnel files each day, the following data were produced:
Day |
Assistants Absent |
Day |
Assistants Absent |
Day |
Assistants Absent |
1 |
9 |
6 |
2 |
11 |
6 |
2 |
6 |
7 |
9 |
12 |
7 |
3 |
9 |
8 |
3 |
13 |
12 |
4 |
7 |
9 |
3 |
14 |
3 |
5 |
2 |
10 |
1 |
15 |
7 |
Because your assessment of absenteeism is likely to come under careful scrutiny, you would like a type I error of only 1 percent. You want to be sure to identify any instances of unusual absences. If some are present, you will have to explore them on behalf of the employees.
a. Design a p-chart.
The upper control limit
the lower control limit is
b. Based on your p-chart and the data from the last 3 weeks, what can you conclude about the absenteeism of Assistants?
Below is the screenshot of the formula applied -
Below is the screenshot of the p chart -