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 less than 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 6.9 ounces and that the standard deviation is 0.6 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? X H : 0 H1 : 0 020 0-0 070 (b) Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) X 5 ? (c) Suppose the true mean amount of coffee dispensed by the machine is 6.7 ounces. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) V the hypothesis that u is (Choose one) (Choose one) when, in fact, H is (Choose one) K