The label on the cold medicine Dozenol lists 600 mg of acetaminophen per fluid ounce as an active ingredient. The FDA test 64 one ounce portions of the medicine and finds that the mean amount of acetaminophen for this sample id 589mg with a standard deviation of 21 mg. test the claim of the FDA that te medicine does not conain the required amount of acetaminophen.

a. identify the null and alternate hypothesis

b. identify whether this test is left-tailed, right tailed or two tailed and the appropriate critical values

c. calculate the z score

d. state your conclusion