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Normally Distributed Observations Such as a Person's Weight, Height, or Shoe

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Normally distributed observations such as a person's weight, height, or shoe size occur quite frequently in nature. Business people who are aware of this use it to their advantage. A purchasing agent for a large retailer buying 15,000 pairs of women's shoes used the normal curve to decide on the order quantities for the various sizes. If women's average shoe size is 7.5 with a standard deviation of 1.5, how many pairs should be ordered between sizes 6.5 and 9?


Definitions:

Positivist

A philosophical stance asserting that genuine knowledge is exclusively derived from sensory experience and positive verification, often associated with the empirical research methods in psychology.

Conscientious

Characterizing someone who is diligent, careful, and thorough, often with a strong sense of duty and responsibility.

Boundary Condition

Conditions at the limits or borders of a specific area or system that are used to determine its behavior or solutions.

Trait Observability

Pertains to how easily an individual's personality traits can be perceived and recognized by others.

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