A company attempts to evaluate the potential for a new bonus plan by selecting a sample of 4 salespersons to use the bonus plan for a trial period. The weekly sales volume before and after implementing the bonus plan is shown below. (For the following matched samples, let the difference "d" be d = after - before.)
Weekly Sales | ||
Salesperson | Before | After |
1 | 48 | 44 |
2 | 48 | 40 |
3 | 38 | 36 |
4 | 44 | 50 |
| a. | State the hypotheses. |
| b. | Compute the test statistic. |
| c. | Use Alpha = .05 and test to see if the bonus plan will result in an increase in the mean weekly sales. |
| a. | H0: μd≤ 0 Ha: μd> 0 |
| b. | t = 0.68 |
| c. | p-value (0.2728)> 0.2, do not reject H0 |