The quality-control manager of a large factory is concerned about the number of defective items produced by workers. Thirty workers at the factory agree to participate in a study of three different incentive plans to help reduce the number of defective items produced. The plans will be randomly assigned to the workers so that 10 workers received each plan. The reduction in the number of defective items produced by each worker will be recorded two weeks after the plans are implemented.

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Answer:

There is no blocking variable, and incentive plans will be randomly assigned to the workers.

Step-by-step explanation:

The options are missing and they are;

A ) There is no blocking variable, and incentive plans will be randomly assigned to the workers.

B ) There is no blocking variable, and the workers were selected at random.

C)  Each incentive plan is a block, and a completely randomized design is not blocked.

D ) Each plan will be randomly assigned to 10 pairs of workers who share a similar characteristic.

E ) The number of workers participating in the study was greater than or equal to 30.

The option that best describes  why a completely randomized design is an appropriate design to use in this situation is;

Option A; There is no blocking variable, and incentive plans will be randomly assigned to the workers.

  • A blocking variable is a variable used by an experimenter or a researcher to  block out nuisance variables and test the treatments that are of utmost importance to him.

  • A blocking variable is a continuous variable like weight, age e.t.c. From the question,  the treatments, that are the incentive plans, are being randomly assigned to the 30 workers without consideration of specific treatments via blocking variable and as such a completely randomized design would solve that problem.

  • Thus, we can conclude that the reason why a completely randomized design is important to use in this case is because there is no blocking variable and as such the treatments are randomly assigned to the workers.

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