In this scenario, we can define the population and the sample as follows:
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Population: The entire group that is being studied. In this case, the population consists of all the players in the softball league. Since there are 225 players in the league, the size of the population (N) is 225.
\[ \text{Population Size} (N) = 225 \]
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Sample: A subset of the population that is selected for analysis. Here, Marissa chooses a sample of 45 players to ask whether they also play basketball. Therefore, the size of the sample (n) is 45.
\[ \text{Sample Size} (n) = 45 \]
To summarize:
- Population Size: 225 (all players in the softball league)
- Sample Size: 45 (players selected by Marissa to ask if they also play basketball)
Let’s summarize the findings:
- Population: All 225 players in the softball league
- Sample: 45 players chosen from the league
- Size of the Population (N): 225
- Size of the Sample (n): 45