The supervisor of an orange juice-bottling company is considering the purchase of a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of 100% pure orange 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 orange 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 α = 0.10.

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New Machine Old Machine Mean Standard deviation Sample size 5 milliiters 15 milliliters 460 milliters 7 milliliters 12