After Finishing College, You Start Working as a Quality Control

question 6

Essay

After finishing college, you start working as a quality control agent at a local manufacturing plant. The machine that you are in charge of produces steel bolts. Your job is to fine tune the machine so that it produces a specific size bolt, but a small margin of error is allowable. Suppose that you believe that the machine has been calibrated so that the actual size of a bolt produced has an approximate normal
distribution with a mean of 25 cm and a standard deviation of 0.001 cm. After producing 1000 bolts,
you randomly choose one and find that it measures 24.9995 cm. Based off of this measurement, do you think that the machine has been properly calibrated? Explain.

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Definitions:

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment, especially important in problem-solving and decision-making processes.

Humility

The quality of having a modest or low view of one's importance, often helping individuals acknowledge their own limitations and value others.

Confidence

The belief in oneself and one's powers or abilities.

Critical Thinking

The intellectual process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and evaluating information to reach an answer or conclusion.