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In an effort to reduce absenteeism, an electronics company initiated a program under which employees could...

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
0 0
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