A researcher claims the average Hotel Rate in San Diego CA is $156/night during the month of the November 2009. You think this is low, and want to prove average rate is higher, so you randomly gather a sample of 25 data points from various hotels on random dates throughout that month. You find out an average rate of 168 with a standard deviation of 30. Using the significance level a = .05, and supposing a normal distribution what does the evidence conclude?