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A Company's Manufacturing Process Uses 500 Gallons of Water at a Time.A

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A company's manufacturing process uses 500 gallons of water at a time.A "scrubbing" machine then removes most of a chemical pollutant before pumping the water into a nearby
Lake.To meet federal regulations the treated water must not contain more than 80 parts per
Million (ppm.) of the chemical.The machine's output can be described by a normal model
With standard deviation 4.2 ppm.The company's lawyers insist that not more than 2% of the
Treated water should be over the limit.To achieve this, to what mean should the company set
The scrubbing machine?


Definitions:

Simple Interest

A method of calculating interest where the charge is based on the original principal amount and does not compound.

Principal Amount

The original sum of money lent in a loan or invested, excluding any interest or profits.

Accrued Interest

Interest on a loan or bond that has accumulated but not yet been paid.

Maturity Value

The amount payable to an investor at the end of a fixed term, encompassing the principal and the interest earned or dividends received.

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