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