A company attempts to evaluate the potential for a new bonus plan and decides to use the bonus plan for a trial period. The weekly sales volume achieved by a sample of 4 salespersons before and after...

A company attempts to evaluate the potential for a new bonus plan and decides to use the bonus plan for a trial period. The weekly sales volume achieved by a sample of 4 salespersons before and after implementing the bonus plan is shown below. (For the following matched samples, let the difference d = After – Before; let population men Before = μ1, population mean After = μ2)

            Weekly Sales (in units)

Salesperson     Before         After

        1                   48              44

        2                   48              40

        3                   38              36

        4                   44              50

Assume the population of differences is normally distributed.

Useα = 0.05 and test to see if the bonus plan will result in anincrease in the mean weekly sales for the company. What is your conclusion?