A manufacturer fills soda bottles. Periodically they test to seeif there is a difference in the amount of soda put in cola and dietcola bottles. A random sample of 14 cola bottles contains anaverage of 502 mL of cola with a standard deviation of 4 mL. Arandom sample of 16 diet cola bottles contains an average of 499 mLof cola with a standard deviation of 5 mL. Test the claim thatthere is a difference in the fill levels of the two types of sodausing a 0.01 level of significance. Assume that the populationvariances are different since different machines are used for thefilling process.
