Use the Following Information to Answer Questions (1) - (4)

question 57

Essay

Use the following information to answer questions (1) - (4). A sprint duathlon consists of a 5 km run, a 20 km
bike ride, followed by another 5 km run. The mean finish time of all male participants in a recent large duathlon
was 1.54 hours with a standard deviation of 0.22 hours. The distribution of finish times for males is right-skewed.
Suppose that a sample of 30 randomly selected male participants is selected.
-What is the expected finish time for a male participant in the sample of 30? Will the expected mean finish time be the same for any sample of 30 males drawn from the population? Explain.

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Definitions:

Ideal Free Distribution

A theory in ecology that predicts how animals distribute themselves among habitats to maximize their fitness, assuming individuals are free to choose and are perfectly informed.

Habitats

The natural environments or places where a particular species lives and grows; it is crucial for the survival of species.

Fitness

In evolutionary terms, the ability of an organism to survive and reproduce, thus passing on its genes to the next generation.

Passive Dispersal

A mechanism by which organisms or their propagules spread from one location to another without their own locomotion, often relying on external forces.