Soda Cans a Machine That Fills Cans with Soda Fills

question 17

Essay

Soda cans A machine that fills cans with soda fills according to a Normal model with mean
12.1 ounces and standard deviation 0.05 ounces.
a. If the cans claim to have 12 ounces of soda each, what percent of cans are under-filled?
b. Management wants to ensure that only 1% of cans are under-filled.
i. Scenario 1: If the mean fill of the cans remains at 12.1 ounces, what standard deviation does the filling machine need to have to achieve this goal?
ii. Scenario 2: If the standard deviation is to remain at 0.05 ounces, what mean does the filling machine need to have to achieve this goal?

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Definitions:

Vulnerability

The susceptibility to physical or emotional injury or attack; it can also refer to a person's increased risk of developing a disorder or illness.

Temporal Lobes

The regions of the cerebral cortex located beneath the lateral fissure on both cerebral hemispheres of the brain, involved in processing auditory information and encoding memory.

Hallucinations

Perceptual experiences without an external stimulus, commonly associated with mental disorders or neurological conditions.