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.

---

Definitions:

Emotion Regulation

The method through which people control what emotions they feel, the timing of those emotions, and the manner in which they experience and convey them.

Brain Activity

The physiological functions and processes that occur within the brain, including electrical impulses and chemical reactions responsible for thoughts, emotions, and behaviors.

Mediterranean Diet

A dietary pattern traditionally followed by people of the Mediterranean region, characterized by high consumption of fruits, vegetables, olive oil, and fish, and low consumption of red meat and dairy.

Depression

A mental health disorder characterized by persistently low mood and loss of interest in activities, significantly impairing daily life.