Use the Empirical Rule (68-95-99.7) to answer the question. The cost of textbooks per semester for a full-time college student is normally distributed with an average of $500 and a standard deviation of $100. Approximately what percent of full-time college students had textbook costs this semester that were between $400 and $600? 95% 68% 34% 99.7%

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**Title: Understanding the Empirical Rule in Statistics**

**Image Transcription for Educational Context:**

**Use the Empirical Rule (68-95-99.7) to answer the question.**

The cost of textbooks per semester for a full-time college student is normally distributed with an average of $500 and a standard deviation of $100.

Approximately what percent of full-time college students had textbook costs this semester that were between $400 and $600?

- ○ 95%
- ○ 68%
- ○ 34%
- ○ 99.7%

**Explanation:**

The question uses the Empirical Rule, also known as the 68-95-99.7 Rule, which applies to normal distributions. This rule states:
- About 68% of data falls within one standard deviation from the mean.
- About 95% falls within two standard deviations.
- About 99.7% falls within three standard deviations.

In this situation:
- The mean (average) textbook cost is $500.
- The standard deviation is $100.

The range between $400 and $600 represents one standard deviation on either side of the mean ($500 - $100 = $400 and $500 + $100 = $600). Therefore, approximately 68% of full-time college students had textbook costs between $400 and $600.
Transcribed Image Text:**Title: Understanding the Empirical Rule in Statistics** **Image Transcription for Educational Context:** **Use the Empirical Rule (68-95-99.7) to answer the question.** The cost of textbooks per semester for a full-time college student is normally distributed with an average of $500 and a standard deviation of $100. Approximately what percent of full-time college students had textbook costs this semester that were between $400 and $600? - ○ 95% - ○ 68% - ○ 34% - ○ 99.7% **Explanation:** The question uses the Empirical Rule, also known as the 68-95-99.7 Rule, which applies to normal distributions. This rule states: - About 68% of data falls within one standard deviation from the mean. - About 95% falls within two standard deviations. - About 99.7% falls within three standard deviations. In this situation: - The mean (average) textbook cost is $500. - The standard deviation is $100. The range between $400 and $600 represents one standard deviation on either side of the mean ($500 - $100 = $400 and $500 + $100 = $600). Therefore, approximately 68% of full-time college students had textbook costs between $400 and $600.
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