Not everyone pays the same price for the same model of a car. The figure illustrates a normal distribution for the -99.7%- -95%- -68%- prices paid for a particular model of a new car. The mean is $22,000 and the standard deviation is $2000. Use the 68-95-99.7 Rule to find what percentage of buyers paid between $18,000 and $22,000. 16 18 20 22 24 26 Price of a Model of a New Car (Thousands) The percentage of buyers who paid between $18,000 and $22,000 is %. (Type an exact answer.) Number of Car Buyers

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The image presents a study of car prices using a normal distribution graph. The graph showcases the prices paid for a particular model of a new car, where:

- The mean price is $22,000.
- The standard deviation is $2,000.

The graph visualizes the 68-95-99.7 Rule, also known as the Empirical Rule. According to this rule:
- 68% of data falls within one standard deviation (between $20,000 and $24,000).
- 95% of data falls within two standard deviations.
- 99.7% of data falls within three standard deviations.

In the graph, the area between $18,000 and $22,000 represents one standard deviation below the mean. This segment accounts for 34% of the data, as the total for one standard deviation (68%) is symmetrically divided.

Users are prompted to determine the percentage of buyers who paid between $18,000 and $22,000, which is explicitly 34%.
Transcribed Image Text:The image presents a study of car prices using a normal distribution graph. The graph showcases the prices paid for a particular model of a new car, where: - The mean price is $22,000. - The standard deviation is $2,000. The graph visualizes the 68-95-99.7 Rule, also known as the Empirical Rule. According to this rule: - 68% of data falls within one standard deviation (between $20,000 and $24,000). - 95% of data falls within two standard deviations. - 99.7% of data falls within three standard deviations. In the graph, the area between $18,000 and $22,000 represents one standard deviation below the mean. This segment accounts for 34% of the data, as the total for one standard deviation (68%) is symmetrically divided. Users are prompted to determine the percentage of buyers who paid between $18,000 and $22,000, which is explicitly 34%.
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