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\begin{tabular}{l} Question 2 (Muitiple Choice Worth 2 points) \\ (04.01 LC) \\ A car dealer sends an email survey to all customers who bought two-door cars. The previous month, 150 people bought two-door cars. Surveys were sent to 95 of these people, chosen at random, and 80 \\ people responded to the survey. Identily the population and the sample. \\ The population is 150 . The sample is 95 . \\ The population is 95 . The sample is 80 . \\ The population is 80 . The sample is 150 . \\ The population is 150 . The sample is 80 . \\ The population is 95 . The sample is 150 . \\ \hline\end{tabular}

Ask by Burgess Chen. in the United States
Feb 22,2025

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The population is 150 and the sample is 95.

Solución

To solve this problem, we need to identify the population and the sample based on the information provided. 1. **Understanding the terms:** - **Population:** This refers to the entire group that we are interested in studying. In this case, it includes all customers who bought two-door cars. - **Sample:** This is a subset of the population that is selected for the survey. It is the group from which we actually collect data. 2. **Extracting known conditions:** - Total number of customers who bought two-door cars (population) = 150 - Number of customers surveyed (sample) = 95 - Number of customers who responded to the survey = 80 3. **Identifying the population and sample:** - The population is all 150 customers who bought two-door cars. - The sample is the 95 customers who were randomly selected to receive the survey. Based on this analysis, the correct identification is: - **Population:** 150 - **Sample:** 95 Thus, the correct answer is: **The population is 150. The sample is 95.**

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The population in this scenario consists of all customers who bought two-door cars, which is 150 individuals. The sample is the subset of that population from whom data was actually collected, which is the 80 respondents to the survey. Thus, the correct answer is: The population is 150. The sample is 80. Understanding populations and samples is crucial in statistics, as it helps ensure that data collected is representative of the larger group. This distinction plays a significant role in making informed conclusions based on the survey results! To avoid confusion in future surveys, always ensure you determine your population clearly before deciding on your sample. A common mistake is assuming the sample size alone represents the entire population, which can lead to skewed results and misguided conclusions. Clarity is key!

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