The mean score on a National Achievement Test for 49 randomly selected public high schools in Cebu was 153. Assume the population standard deviation is 36. The mean score on the same test for 50 randomly selected public high schools in Metro Manila was 147. Assume the population standard deviation is 34. At alpha=0.05 can you support the claim that the mean score on the National Achievement Test for public high schools in Cebu is greater than the mean score for public high schools in Metro Manila?