In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. Complete parts (a) through (d) below. a. Using the Empirical Rule, between what two values would you expect to find about 95% of the rates? Approximately 95% of the observations fall within the interval (98, 546). (Type whole numbers.) b. Using the Empirical Rule, between what two values would you expect to find about 68% of the rates? Approximately 68% of the observations fall within the interval (210, 434). (Type whole numbers.) c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain. A. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean. B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean. C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean. D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.
In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. Complete parts (a) through (d) below. a. Using the Empirical Rule, between what two values would you expect to find about 95% of the rates? Approximately 95% of the observations fall within the interval (98, 546). (Type whole numbers.) b. Using the Empirical Rule, between what two values would you expect to find about 68% of the rates? Approximately 68% of the observations fall within the interval (210, 434). (Type whole numbers.) c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain. A. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean. B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean. C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean. D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. Complete parts (a) through (d) below.
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**a. Using the Empirical Rule, between what two values would you expect to find about 95% of the rates?**
Approximately 95% of the observations fall within the interval \( (98, 546) \).
**b. Using the Empirical Rule, between what two values would you expect to find about 68% of the rates?**
Approximately 68% of the observations fall within the interval \( (210, 434) \).
**c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain.**
- ( ) A. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean.
- ( ) B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean.
- ( ) C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean.
- (•) D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.
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