The table below shows the time in months between occurrences of safety violations for three operators, "A," "B," and "C," working in a toll manufacturing facility.
|
A
|
1.31
|
0.15
|
3.02
|
3.17
|
4.84
|
0.71
|
0.70
|
1.41
|
2.68
|
0.68
|
|
B
|
1.94
|
3.21
|
2.91
|
1.66
|
1.51
|
0.30
|
0.05
|
1.62
|
6.75
|
1.29
|
|
C
|
0.79
|
1.22
|
0.65
|
3.90
|
0.18
|
0.57
|
7.26
|
0.43
|
0.96
|
3.76
|
The data is clearly not normally distributed since the phenomenon in question is typical of an exponential random variable. Carry about an appropriate test to validate the hypothesis that there is a difference between the safety performance of these operators. Justify your test choice and interpret your results adequately.