Question

frontenis is a fast - paced sport originally from mexico that is played with rackets and a rubber ball on a three - walled court. a town is building a new recreation center that will have frontenis courts. the building designer visits an existing recreation center and asks a random sample of beginner frontenis players the question, “how many of the 10 new racket courts should be frontenis courts?” which best describes whether the sample represents the population?
the sample represents the population because each person in the sample is likely to use the new racket courts.
the sample does not represent the population because the sample contains only frontenis players.
the sample does not represent the population because experienced frontenis players should have been in the sample instead.
the sample represents the population because each person in the sample was randomly selected.

Explanation:

The population for the new recreation center's racket courts includes all potential users (not just frontenis players, like those who play other racket sports or casual users). The sample has only beginner frontenis players, so it doesn't represent the entire population of people who might use the new racket courts. The first option is wrong as using the courts doesn't mean they represent all; the third is wrong as including experienced players still limits to frontenis players; the fourth is wrong because random selection within a limited group (only frontenis players) doesn't make it representative of the whole population.

Answer:

The sample does not represent the population because the sample contains only frontenis players.