Comment on the conclusion and the decision when H0 cannot be rejected.

1.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 H0 cannot be rejected.
c. Comment on the conclusion when H0 can be rejected.
2. 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 determine
whether underfilling or overfilling is occurring. 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.
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 H0 cannot be rejected.
c. Comment on the conclusion and the decision when H0 can be rejected.