A random sample of n 10 regions in New England gave the following violent crime rates per million population x New England Crime Rate 3 3 3 7 4 2 4 1 3 3 4 1 1 8 4 8 Another random sample of n 12 regions in the Rocky Mountain states gave the following violent crime rates per million population X Rocky Mountain Crime Rate IX 3 5 3 7 S 1 0 84 X 3 83 20 94 4 3 4 7 5 3 3 3 4 8 3 5 USE SALT Assume that the crime rate distribution is approximately normal in both regions Use a calculator to calculate x S X and S Round your answers to four decimal place X X X 2 9 3 1 1 What is the level of significance 0 01 2 4 3 1 3 5 5 2 2 8 a Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England Use 0 01 State the null and alternate hypotheses H i Hi Hi Hi Hi 12 H H H i H H H