1. The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a week- end is $600 or less. 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. a. Which form of the hypotheses should be used to test the manager's claim? Explain. Ho: # 2 600 Hau = 600 Ho: u = 600 Ha: H 600 Ha: # # 600 b. What conclusion is appropriate when H, cannot be rejected? c. What conclusion is appropriate when #, can be rejected? 2. 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. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. a. Develop the null and alternative hypotheses most appropriate for this situation. b. Comment on the conclusion when #, cannot be rejected. c. Comment on the conclusion when Ho can be rejected. 3. A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to deter- mine whether underfilling or overfilling is occurring. If the sample data lead to a conclu sion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling. a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line. b. Comment on the conclusion and the decision when H, cannot be rejected. c. Comment on the conclusion and the decision when H, can be rejected