The Fallbrook Distributing Company Has a Soft Drink Bottling Plant

question 41

True/False

The Fallbrook Distributing Company has a soft drink bottling plant in Plano, Texas. Based on historical records, if its filling machine is working properly, the mean fill volume per can is 12.0 ounces with a standard deviation equal to 0.13 ounce. Further, the distribution of fill amounts is known to be normally distributed. The State of Texas has a department whose job it is to check on such consumer- related processes as soft drink filling. The idea is to protect the consumer. The department arrives at the Fallbrook plant once a month on an unscheduled day. When they arrive, they randomly select n = 4 cans and carefully measure the volume in each can. If any of these cans contains less than 11.85 ounces, the plant is shut down until a full inspection of the filling process is performed. Based on this information, the probability that the plant will get shut down if it is operating properly is approximately 0.1251.

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Definitions:

Yerkes-Dodson Law

A psychological principle stating that performance increases with arousal up to an optimal point, after which it decreases.

Physiological Arousal

A state of heightened physiological activity, involving increased heart rate, sweating, or rapid breathing.

Test Performance

An individual's performance or achievement on exams or assessments, measuring knowledge, ability, or skill in a particular area.

Yerkes-Dodson Law

A theory suggesting that there is an optimal level of arousal for the best performance of a task: too little or too much arousal can decrease performance.