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.(2 points)

Question

please show the work

Answer 1

To understand the population and the sample in this scenario, we can define them as follows:

Population: The population in this scenario consists of all the players in the softball league. Since Maritza is interested in the whole league, the population includes every player currently registered in that league.

• Size of the Population (N): There are 225 players in the league, so the size of the population is 225.

Sample: The sample refers to the specific group of individuals selected from the population for the purpose of collecting data or conducting a study. In this case, Maritza chooses a subset of players to ask about their basketball participation.

• Size of the Sample (n): Maritza selected 45 players from the league to ask about whether they also play basketball. Therefore, the size of the sample is 45.

Summary:

• Population: All 225 players in the softball league
• Size of the Population: 225
• Sample: The 45 players selected by Maritza
• Size of the Sample: 45

Work:

1. Identify the total number of players in the league: 225 (Population size).
2. Identify the number of players Maritza selected to survey: 45 (Sample size).

Thus, we have:

• Population size (N) = 225
• Sample size (n) = 45