Basketball Player Heights Assume the Heights of High School Basketball

question 92

Essay

Basketball player heights Assume the heights of high school basketball players are
normally distributed. For boys the mean is 74 inches with a standard deviation of 4.5
inches, while girl players have a mean height of 70 inches and standard deviation 3 inches.
At a mixed 2-on-2 tournament teams are formed by randomly pairing boys with girls as
teammates.
a. On average, how much taller do you expect the boy to be?
b. What will be the standard deviation of the difference in teammates' heights?
c. On what fraction of the teams would you expect the girl to be taller than the boy?

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Definitions:

Salvage Value

An estimate of an asset’s value at the end of its useful life.

Incremental Analysis

The process of identifying the financial data that change under alternative courses of action.

Variable Costs

Costs that vary in total directly and proportionately with changes in the activity level.

Fixed Costs

Costs that remain the same in total regardless of changes in the activity level.