4. In a certain factory, the workers who repair production machinery are less likely to be killed on the job than those workers who simply operate the machinery. The repair workers are also paid more on average but are required to have an additional certification. Determine if the following statement is true of false. Additionally, explain why the statement is true or false: "The theory of compensating wage differentials predicts that those workers at a firm who experience higher risk should be paid more. Since repair workers are less likely to be hurt but receive higher pay, this factory provides evidence against the theory of compensating wage differentials."