The Amount of Soda a Dispensing Machine Pours into a 12-Ounce

question 74

Multiple Choice

The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a standard deviation of 0.26 ounce. Every can that has more than 12.65 ounces of soda poured into it causes a spill and the can must go through a special cleaning process before it can be sold. What is the mean amount of soda the machine should dispense if the company wants to limit the percentage that must be cleaned because of spillage to 3%?

• A) 13.2142 ounces
• B) 12.1612 ounces
• C) 12.0858 ounces
• D) 13.1388 ounces

---

Definitions:

Equilibrium Quantity

The quantity of goods or services supplied and demanded at the equilibrium price.

Demand Shifts

Changes in the demand curve due to factors other than the price of the good itself, such as changes in consumer preferences, income, or the prices of related goods.

Quantity Demanded

The entirety of a good or service that buyers are willing and have the ability to buy at a stated price.

Complements

Goods or services that are used together, where an increase in consumption of one leads to an increase in consumption of the other.