A quality-control manager must decide to accept a shipment oF batteries From a supplier or to return the shipment due to poor quality. Assume that design specications require batteries From the supplier to have a mean useful life oF 120 hours. The manager must return the shipment to the supplier iF the mean hours of useful life of the batteries are less than 120 hours. To evaluate the quality of an incoming shipment, a sample of SE batteries will be selected and tested. The sample standard deviation is 12 hours. On the basis oF the sample. a decision must be made to accept the shipment of batteries or to return it to the supplier because oF poor quality. Let p denote the mean hours of useFul life For batteries in the shipment. Suppose that a level of signicance of 5% is used to conduct the hypothesis test. a] State the null and alternative hypotheses. b) State all the possible conclusions that can be made based on the above hypothesis test. Discuss the consquences at each conclusion. c} Calculate and interpret u. d] Calculate and interpret [3 it in Fact the mean hours of useful life For batteries in the shipment is 112 hours. e] Sketch a graph{s] of the given information relating cc. [3. power. hypothesized value and the actual mean. F} Discuss the power of this hypothesis test when useful life for batteries in the shipment is 112 hours