Brämhults Juice, based in Sweden, produces chilled fruit

Brämhults Juice, based in Sweden, produces chilled fruit and vegetable juices. A manager at Brämhults is considering purchasing a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of 100% pure carrot juice and wants an estimate of the difference in the mean filling weights between the new machine and the old machine. Random samples of bottles of carrot juice that had been filled by both machines were obtained. Estimate the difference in the mean filling weights between the new and the old machines? Discuss the assumptions. Use
a = 0.10.
New Machine Old Machine
Mean 472 milliliters 468 milliliters
Standard deviation 5.5 milliliters 6.5 milliliters
Sample size 22 20