The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume of automobiles per month is unknown. 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. Develop the null and alternative hypotheses most appropriate for this situation:
Ho: μ ≤ 14
Ha: μ > 14
Comment on the conclusion when Ho cannot be rejected: There is no statistical evidence that the new bonus plan increases the mean monthly sales volume. We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume.
Comment on the conclusion when Ho can be rejected: There is statistical evidence that the new bonus plan increases the mean monthly sales volume. We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume.