Quadro Corporation owns two grocery stores in a city. The company's quality control department wanted to check if the customers are equally satisfied with services provided at these 2 stores. A sample of 380 customers selected from Grocery Store A produced an average satisfaction index of 7.6 (on a scale of 1 to 10, 1 being the lowest and 10 being the highest) with a standard deviation of 0.75. Another sample of 370 customers selected from Grocery Store B produced an average satisfaction index of 8.1 with a standard deviation of 0.59. Using alpha =5%, would you conclude that the average satisfaction indexes for all customers from the two grocery stores are different. (Assume that the customer satisfaction index for these 2 grocery stores have same population standard deviations).