A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 ounces of coffee per cup. BIG has good reason to believe that the mean amount of coffee dispensed by the machine, u, is different from 7.2 ounces, and plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.8 ounces and that the standard deviation 0.4 ounces. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H. that should be used for the test?

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