In: Statistics and Probability
An experiment was conducted to verify the effect of training at the managerial level in decision making. Two factors were considered in experiment A: training level of the individual (if he has training or does not have training) and B: the type of situation for which the individual had to make the decision (normal or emergency situation).
Sixteen supervisors were selected and 8 were chosen randomly to receive management training. After receiving the training, 4 trained supervisors were selected and 4 of them were not trained to act in a normal situation. In the same way, the other group of 8 supervisors was taken to act in an emergency situation. The decision made by each individual was monitored by the researcher and evaluated on a scale from 0 to 100. The results are presented in the following table:
Situation (B) |
Training Level (A) |
Total |
|
Training |
No Training |
||
Normal |
85 91 80 78 |
53 49 38 45 |
|
Sub-Total |
334 |
185 |
519 |
Emergency |
76 67 82 71 |
40 52 46 39 |
|
Sub-Total |
296 |
177 |
473 |
Total |
630 |
362 |
992 |
Will there be significant evidence to conclude that the factors are significant? Test α = 0.05 Perform and present your calculations by hand (not Excel, not Minitab, etc.).