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

question 74

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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%?


Definitions:

Dimensional Approach

A method of categorization based on the continuum of behaviors or characteristics, as opposed to distinct categories.

Diagnosis

The determination of the nature and cause of a health issue, often leading to a specific plan of treatment.

Categorical

Relating to or based on categories, often involving a clear distinction and belonging to a specific group without overlap.

Epidemiological

Pertaining to epidemiology, the study and analysis of the distribution, patterns, and determinants of health and disease conditions in defined populations.

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