In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in t

Question

In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 342. The standard deviation was 123. 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 (DO (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 (Type whole numbers.) c. If a northeastern region had a violent crime rate of 301 crimes per 100,000 people, would this be considered unusual? Explain O A. Yes, 301 would be considered unusual because it falls within one standard deviation of the mean. O B. No. 301 would not be considered unusual because it falls within one standard deviation of the mean. ( C. No, 301 would not be considered unusual because it is more than two standard deviations from the mean. 0 D. Yes, 301 would be considered unusual because it is more than two standard deviations from the mean. d. If a northeastern region had a violent crime rate of 14 crimes per 100,000 people, would this be considered unusual? Explain. 0 A. 0 B. ° C. 0 D. No, 14 would not be considered unusual because it is one standard deviation above the mean. Yes, 14 would be considered unusual because it is more than two standard deviations below the mean. Yes, 14 would be considered unusual because it is one standard deviation below the mean. No, 14 would not be considered unusual because it is not more than two standard deviations from the mean.

Explanation / Answer

a) Using empirical rule

(342-2*123, 342+2*123)

= (96, 588)

b) (342-1*123, 342+1*123)

= (219, 464)

c) Option B is Correct

d) Option C is Correct

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