A production line operates with a mean filling weight of 16 ounces per container. Overfill- ing or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation o = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of £ = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of f = 15.82 ounces were found, what is the p-value? What action would you recommend? d. Use the critical value approach. What is the rejection rule for the preceding hypothe- sis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion?