A coin-operated colfee machine made by BtG Corporation was designed to discharge a mean of 7.2 ounces of coffee per cup. BtG has good reason to believe that the mean amount of coffee dispensed by the machine, μ, is greater 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 7.6 ounces and that the standacd deviabion is 0.4 ounces. Based on this information, complete the parts below. (a) What are the null hypothesis H 0
and the altemative hypothesis H 1
that should be used for the test? H 0
=□ (b) Suppose that alG decides not to reject the nuil hypothesis. What sort of error might it be making? (c) Suppose the true mean amount of coffee dispensed by the machine is 7.8 ounces. Fill in the bianks to describe a Type If error, A Type 11 error would be- the hypothesis that μ is when, in fact, μ is
