A luxury car dealer is considering two possible locations for a new auto mall. The rent on the south side of town is cheaper. However, the dealer believes that the average household income is significantly higher on the north side of town. The dealer has decided that they will locate the new auto mall on the north side of town if the results of a study that they commissioned show that the average household income is significantly higher on the north side of town. The results of the study are as follows. n x-bar S North Side 28 61 10 South Side 25 53 10 Calculate a 98% confidence interval for the difference (North-South) in average income between the two sides of town. Round your answer to two decimal places.