[See Solution] QUESTIONS 36—38 refer to a researcher at Acme Quality Control studying the output of Acme twelve ounce drinking water from its two bottling


Question: QUESTIONS 36—38 refer to a researcher at Acme Quality Control studying the output of Acme twelve ounce drinking water from its two bottling machines A and B. A sample of 5 bottles from machine A had mean content of 12.4 ounces with sample standard deviation of .15 ounces, whereas a sample of 11 twelve ounce bottles from machine B had a mean content of 12.6 ounces with a standard deviation of .25 ounces.

If we do NOT assume that the standard deviations in amount of water put in a bottle for the two bottling machines are equal to each other, then what is the p—value of the researcher’s data as evidence that on average machine B fills bottles with more water than machine A? What distribution is used to compute this p-value?

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