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Soda Cans a Machine That Fills Cans with Soda Fills

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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:

Year 2

A term often used to refer to the second year of a business operation, project timeline, or financial plan.

Return on Equity

A measure of a company's profitability, indicating how much profit a company generates with the money shareholders have invested.

Year 2

Typically refers to the second year of an entity's operations, plan, or financial reporting.

Return on Equity

A measure of a corporation's profitability, expressed as a percentage of the total amount of equity.

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