MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 17 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.
H0: ? < 17
Ha: ? ≥ 17
H0: ? = 17
Ha: ? ≠ 17
H0: ? > 17
Ha: ? ≤ 17
H0: ? ≤ 17
Ha: ? > 17
H0: ? ≥ 17
Ha: ? < 17
(b)
Comment on the conclusion when
H0
cannot be rejected.We can conclude that there is 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.
(c)
Comment on the conclusion when
H0
can be rejected.We can conclude that there is 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.
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