We want to test whether the mean fluride levels in the drinking water is better in city A or City B. In order to test this, a sample of 24 different water samples was taken from city A and a sample...

We want to test whether the mean fluride levels in the drinking water is better in city A or City B. In order to test this, a sample of 24 different water samples was taken from city A and a sample was taken from 23 different water samples in city B. City A has a sample average of 1.7 micrograms of fluride per deciliter of water and city B has a sample average 2.0 micrograms of lead per deciliter of water. Further, city A has a known standard deviation of A=.96 and city B has a known standard deviation of B=.89.Find the p-value for the following hypothesis test: Null: uA-uB=0 vs. Alternative: uA-uB<>