A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: 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 random sample of 112 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.1 4.7 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. (i) Use a calculator to calculate 7:1, 51' E2, and 52. (Round your answers to three decimal places.) 51:: [:1 52: (ii) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01. (a) What is the level of signicance? :1 State the null and alternate hypotheses. O HD:'u1 (\"2? H1: lu1 =[\"2 O HO: ,u1 =,L12;H1:;.11 > #2 O HO: ,u1 =,L12;H1:;.11 0.250 0.125