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,, 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 is 0.3 ounces.

Based on this information, complete the parts below.

(a) What are the null hypothesis H 0and the alternative hypothesis H1 that should be used for the test?

(b) Suppose that BIG decides to reject the null hypothesis. What sort of error might it be making?

C.) Suppose the true mean amount of coffee dispensed by the machine is 6.6 ounces. Fill in the blanks to describe a Type II error.

A Type II error would be ( Rejecting/Failing to reject) the hypothesis that is ( less than / less than or equal to / greather than/ greather than or equal to/ not equal to/ equal to) (6.8 / 0.3 / 7.2) when, in fact, is (equal to 0.3/ equal to 6.8 / equal to 7.2 / not equal to 7.2 / less than 0.3 / greather than 6.8)