By Law, a Box of Cereal Labeled as Containing 36

question 40

Multiple Choice

By law, a box of cereal labeled as containing 36 ounces must contain at least 36 ounces of cereal. The machine filling the boxes produces a distribution of fill weights with a mean equal to the setting on the machine and with a standard deviation equal to 0.02 ounce. To ensure that most of the boxes contain at least 36 ounces, the machine is set so that the mean fill per box is 36.06 ounces.
Assuming nothing is known about the shape of the distribution, what can be said about the proportion of cereal boxes that contain less than 36 ounces.

• A) The proportion is at most 11%.
• B) The proportion is at least 89%.
• C) The proportion is less than 2.5%.
• D) The proportion is at most 5.5%.

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