A manufacturer fills soda bottles. Periodically they test to see if there is a difference in...

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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.

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The provided sample means are shown belowAlso the provided sample standard deviations areand the sample sizes areand1 Null and Alternative HypothesesThe following null and alternative hypotheses need to betestedHo Ha This corresponds to a twotailed test for which a ttest fortwo See Answer

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