Exercising Owners of an Exercise Gym Believe That a Normal

question 540

Essay

Exercising Owners of an exercise gym believe that a Normal model is useful in projecting
the number of clients who will exercise in their gym each week. They use a mean of 800
clients and a standard deviation of 90 clients.
a. Draw and clearly label this model.
b. What is the first quartile of the weekly number of clients? [Show work]
c. An owner of another gym reports that 5% of the time their gym has fewer than 450
clients, and 40% of the time the gym has more than 1085 clients. What parameters should
that owner use for his Normal model?

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Definitions:

Marx

Karl Marx, a 19th-century philosopher, economist, and revolutionary socialist who developed the theories of Marxism, focusing on class struggle and the critique of capitalism.

Weber

Max Weber was a German sociologist, economist, and political scientist known for his ideas on bureaucracy, social stratification, and the sociology of religion, among others.

Gender

Socially constructed roles, behaviors, expressions, and identities associated with being male, female, or non-binary.

Genitals

External and internal organs of reproduction, responsible for sexual function and reproduction.