Question

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).

16 supervisors were selected and 8 were chosen randomly to receive management training. After receiving the training, 4 trained supervisors were selected and 4 of the supervisor that 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)		Totals
	Trained	Not Trained
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
Totals	630	362	992

Will there be significant evidence to conclude that the factors are significant? Test with α = 0.05 and present your calculations by hand (no Excel, no Minitab, etc.).

Answer 1

Solution is explained below in details with formulas :