25. Potency of an Antibiotic A drug manufacturer claimed that the mean potency of one of its antibiotics was 80%. A random sample of n5100 capsules was tested and produced a sample mean of x 579.7% with a standard deviation of s5.8%. Do the data present sufficient evidence to refute the manufacturer’s claim? Let a 5.05.

a. State the null hypothesis to be tested.

b. State the alternative hypothesis.

c. Conduct a statistical test of the null hypothesis and state your conclusion.