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:

Predicted Salary

An estimate of the amount of money an individual is expected to earn in a specific role or job position.

Years Of Education

The total number of years an individual has spent in formal education systems, including primary, secondary, and tertiary education.

Standardized Test

A test that is administered and scored in a consistent, or "standard", manner, often used in education to assess the abilities, aptitude, or achievement levels of students.

Variation

The extent to which data points in a statistical distribution or dataset differ from each other.