An article reports that the average initial rate of absorption (in g/min·cm2) for a sample of five clay bricks with fine glass particles added was 1299.8 with a standard deviation of 329.8, and the average for another sample of two bricks without glass particles added was 4500.8 with a standard deviation of 271.6. Let μX represent the population mean without glass particles and let μY represent the population mean with glass particles. Find a 98% confidence interval for the difference μX−μY . Round down the degrees of freedom to the nearest integer and round the answers to three decimal places.