Ann goes back and looks at the documentationprovided by the manufacturer. It tur

Question

Ann goes back and looks at the documentationprovided by the manufacturer. It turns out that the manufacturerclaims that the standard deviation of burgers rolled by the machineis .02 pounds. Ann knows that if some of the burgers are muchsmaller than the others the customers who received the smallburgers will complain and she also realizes that if some burgersare much larger than the others she will be losing money. Anndecides that she wants the burgers, before cooking, to be .35pounds plus or minus .05 pounds. Based on the manufacturer’sclaim, is the machine capable of producing burgers to Ann’sspecification? Justify your answer.

Explanation / Answer

Yes, the machine is capable of producing burgers to Ann'sspecification. This can be proved by using a normal distributionanalysis. Since the average is .35 pounds and the standarddeviation is .05 pounds the probability that a burger fits thespecifications is: P(.30

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