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A facility for bottling soda uses two fill and seal machines. As part of quality control, data are periodically collected from random samples to test if the fill weight is the same for the two machines. A particular sample of 12 observations per machine were collected with the following summary statistics: (a) Conduct a hypothesis test to see if there is a difference in the mean fill amount of the machines Complete a hypothesis test. (b) Construct a 95% CI on the difference of means of the two soda bottling machines. Interpret. (c) Based on the results of the hypothesis test, what kind of error could have been made (in context)? 2 Machine n 966.75 12 29.3 962.33 12 26.24

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