Chapter 10, Section 10.3, Problem 033a Quadro Corporation has two supermarkets in a city. The company’s quality control department wanted to check if the customers are equallysatisfied with the service provided at these two stores. A sample of 380 customers selected from Supermarket I produced a meansatisfaction index of 7.1 (on a scale of 1 to 10, 1 being the lowest and 10 being the highest) with a standard deviation of 0.63. Anothersample of 340 customers selected from Supermarket II produced a mean satisfaction index of 8.5 with a standard deviation of 0.55. Assumethat the customer satisfaction index for each supermarket has an unknown and different population standard deviation. Construct a 98% confidence interval for the difference between the mean satisfaction indexes for all customers for the two supermarkets. Let #1 be the mean satisfaction index for Supermarket I and #2 be the mean satisfaction index for Supermarket 11. Round your answers to two decimal places.