Problem 1: A pharmaceutical company has applied for a license for a new drug to the drug control bureau. An inspector from the bureau took a random sample of 30 tablets from the company's production line and found that the mean quantity of active ingredient per tablet is 43 milligrams with a standard deviation of 3 milligrams. The license requirement is that the mean quantity must be at least 45 milligrams in all tablets. Determine, at a = 0.20, if the drug would fulfill license requirements. If a = 0.10, would the drug fulfill the license requirement? [Hint: Check whether to use Z or t. Follow the step-by-step procedure ] *