The owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 6 weekdays and finds an average of 234.51 gallons of milk sold on those days with a standard deviation of 33.997. 12 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 343.53 with a standard deviation of 48.353. Construct a 95% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
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