In recent years Kettleman City, CA has water that had been found to have high levels of arsenic and benzene*. Suppose you want to test to see if a near by city has the same amount of contamination or if they are different from Kettleman City. To do this you take two samples from each city and you decided that you will only test benzene, also assume the amount of benzene in water is normally distributed. The units of the means and standard deviations listed below are in milligrams per liter. The sample data from Kettleman City was as follows,: n_k=9,{x}_k=8.2, S_k=2.3n k = 9 , x ¯ k = 8.2 , s k = 2.3

The sample from the other city called Other City, CA was as follows, : n_o=10,Xo=5,S_o=0.7, o = 10 , x ¯ o = 5 , s o = 0.7

Conduct a hypothesis at a 1% level of significance.