In an effort to reduce absenteeism, an electronics company
initiated a program under which employees could participate in a
monthly lottery, provided that they had perfect
attendance and punctuality during the month. A 100AUD cash prize
was awarded to the winner of each monthly lottery. Approximately 80
employees participated in the
program. In order to assess the impact of the program, comparisons
were made between sick leave expenditures (AUD) for eight randomly
selected months before
and six randomly selected months after the system was instituted.
The expenditures are recorded and shown in the table below.
Due to the small sample sizes, this assumption of normal
distribution cannot be verified this time. Perform an appropriate
non-parametric
test at the 5% significance level. Do the calculations manually.
Specify the null and alternative hypotheses, show the details of
your calculations, define the
decision rule, make a statistical decision, and draw an appropriate
conclusion.
| Before | After |
| 903 | 746 |
| 812 | 775 |
| 1012 | 596 |
| 855 | 767 |
| 826 | 469 |
| 814 | 670 |
| 755 | |
| 690 |
In an effort to reduce absenteeism, an electronics company initiated a program under which employees could...