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A diary supplier fills hundreds of cartons with milk each day. They are contracted to fill each carton with exactly one gallon of milk. Because
A diary supplier fills hundreds of cartons with milk each day. They are contracted to fill each carton with exactly one gallon of milk. Because of the moving parts on the machine that fills the cartons, the amount of milk dispensed begins to vary slightly over time. When this happens, the machine must be serviced to realign it correctly. When testing the accuracy of the machine, the amount of milk dispensed into each carton sampled is measured in milliliters. A standard deviation of 2 mL. is acceptable. Servicing must occur when the standard deviation is more than 2 mL with a level of significance of 0.01. Twenty-five cartons are randomly chosen to be tested and the amounts of milk in the cartons are found to have a standard deviation of 2.5 mL. Perform a hypothesis test to determine if the machine needs servicing
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