1. Develop Null and Alternative hypothesis for the following situations: (a) The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. b) A production line operation is designed to fill cartons to a mean weight of 32 ounces. If the sample data lead to a conclusion of underfilling or overfilling the production line will be shut down and adjusted to obtain proper filling. The manager of a hotel stated that the mean guest bill for a weekend is about $600. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of weekend guest bills to test the manager's claim. (d) A director of manufacturing must convince management that a proposed manufacturing method reduces costs before this new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period. (e) Some people who bought a gaming system complained about having received defective systems. The industry standard for such systems has been 98% percent non-defective systems. Test to see if the percentage of defective systems produced by X-Game has exceeded the industry standard