In 2011, the mean rate of violent crime (per 100,000 people) for the 24 states west of the Mississippi River was 406. The standard deviation was 177. Assume that the distribution of violent crime rates is approximately unimodal and symmetric. See page 134 for guidance.

a. Between what two values would you expect to find about 95% of the rates?

b. Between what two values would you expect to find about 68% of the violent crime rates?

c. If a western state had a violent crime rate of 584 crimes per 100,000 people, would you consider this unusual? Explain.

d. If a western state had a violent crime rate of 30 crimes per 100,000 people, would you consider this unusual? Explain.