Redo Problem 15(a) using the critical region method, and compare your results to those obtained using the P-value method.
Problem 15
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population):
x1: New England crime rate

Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population):
x2: Rocky Mountain states crime rate

Assume that the crime rate distribution is approximately normal in both regions. Use a calculator to verify that 1 ‰ˆ 3.51, s1 ‰ˆ 0.81, 2 ‰ˆ 3.87, and s2 ‰ˆ 0.94.
Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use α = 0.01.

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