19. The 68-95-99.7 Rule. A set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the percentage of scores in each of the following categories. a. greater than 100 c. less than 80 e. less than 60 g. greater than 80 b. greater than 120 d. less than 140 f. less than 120 h. between 80 and 120

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**6C:**

19. **The 68-95-99.7 Rule.** A set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the percentage of scores in each of the following categories.

a. greater than 100  
b. greater than 120  
c. less than 80  
d. less than 140  
e. less than 60  
f. less than 120  
g. greater than 80  
h. between 80 and 120  

**Explanation of the 68-95-99.7 Rule:**

The 68-95-99.7 rule, also known as the empirical rule, is a guideline that applies to normal distributions. It states that:

- Approximately 68% of data falls within one standard deviation of the mean.
- About 95% fall within two standard deviations.
- Around 99.7% are within three standard deviations. 

Use these percentages to determine the distribution of scores based on the given mean and standard deviation.
Transcribed Image Text:**6C:** 19. **The 68-95-99.7 Rule.** A set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the percentage of scores in each of the following categories. a. greater than 100 b. greater than 120 c. less than 80 d. less than 140 e. less than 60 f. less than 120 g. greater than 80 h. between 80 and 120 **Explanation of the 68-95-99.7 Rule:** The 68-95-99.7 rule, also known as the empirical rule, is a guideline that applies to normal distributions. It states that: - Approximately 68% of data falls within one standard deviation of the mean. - About 95% fall within two standard deviations. - Around 99.7% are within three standard deviations. Use these percentages to determine the distribution of scores based on the given mean and standard deviation.
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