Question: A simple random sample of 10 regions in New England states gave the following violent crime rate( per million population)

x_{1 :} New England crime rate

3.5 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1

Another simple random sample of 12 regions in Rocky Mountain states gave the following violent crime rate (per million population)

x_{2 :} Rocky Mountain States

3.7 4.3 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8

Assume the data is approximately normal in both regions.

Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use 1% level of significance test.