In 2011, the mean rate of violent crime (per 100,000 people) for the 10 northeastern states was 314, and the standard deviation was 118. Assume the distribution of violent crime rates is approximately unimodal and symmetric.
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 rates?
c. If a northeastern state had a violent crime rate of 896 crimes per 100,000 people, would you consider this unusual? Explain.
d. If a northeastern state had a violent crime rate of 403 crimes per 100,000 people, would you consider this unusual? Explain.