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Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work. Thank you

1 answer

In this scenario, we have the following definitions:

  1. Population: The entire group that Maritza is interested in studying. Since she wants to know about how many players in the league also play basketball, the population consists of all the players in the softball league.

  2. Sample: A subset of the population that Maritza selects to ask her questions. In this case, she randomly selects 45 players from the total pool of softball players.

Now, let's summarize the sizes:

  • Population Size: The number of players in the basketball league is 225.

  • Sample Size: The number of players Maritza asks is 45.

To represent this clearly:

  • Population Size (N) = 225 players
  • Sample Size (n) = 45 players

In conclusion, the population is all 225 players in the softball league, the sample is the 45 players Maritza chose to survey, the size of the population is 225, and the size of the sample is 45.