A production line operates with a mean filling weight of 16 ounces per cOntainer. Overlling or underlling presents a seriOus problem and, when detected, requires the operator to shut down the production line in order to readjust the filling mechanism. From past data, a population standard deviation is assumed as 0.8 ounces. A quality control inspector selects a sample of 30 items every hour and, at that time, decides whether or not to shut down the line for readjustment. The level of significance is 0.05. (20 marks total) a. State the hypothesis test for this quality control application. (2 marks) to. If a sample mean of 16.32 ounces were found, what is the p-value? (3 marks) c. What action would you recommend? (3 marks) d. If a sample mean of 15.82 ounces were found, what is the p-value? (3 marks) e. What action would you recommend? (4 marks) f. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (13) and (c). Do you reach the same conclusion? ( 5 marks)