By Law, a Box of Cereal Labeled as Containing 18

question 192

Multiple Choice

By law, a box of cereal labeled as containing 18 ounces must contain at least 18 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 0.03 ounce. To ensure that most of the boxes contain at least 18 ounces, the machine is set so that the mean fill per box is 18.09 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 18 ounces.

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

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Definitions:

Strain Theories

A sociological perspective that examines how societal structures pressure individuals to commit deviant or criminal acts due to an inability to achieve societal goals through legitimate means.

Control Theories

A branch of criminology that focuses on why individuals conform to societal norms and values, and what prevents them from engaging in criminal behavior.

Cohen

Refers to Albert Cohen, a prominent sociologist known for his work on subcultural theory of deviancy which explains how subcultures emerge as a response to the existing social structure.

Goal-Means Gap

The discrepancy or distance between an individual's goals and the resources or methods available to achieve those goals.