Question
Past sales records indicate that sometimes there is a large difference between the selling prices that different sales reps are able to negotiate for robots.
Past sales records indicate that sometimes there is a large difference between the selling prices that different sales reps are able to negotiate for robots. As sales manager, you decide to randomly select four sales over the past year for each of your three sales reps and observe the actual selling price of the robots. The following table shows the amounts at which the robots sold in thousands of dollars. Based on these data, can you conclude that there is a difference between the mean selling prices for these three salespeople at a level of significance of 0.05? Assume that the three population distributions are approximately normal with equal population variances.
Selling Prices of Robots (in thousands of dollars) | ||
Salesperson 1 | Salesperson 2 | Salesperson 3 |
10 | 11 | 11 |
14 | 16 | 13 |
13 | 14 | 12 |
12 | 15 | 15 |
Hypotheses:
Test Statistic and value:
P-Value:
Conclusion:
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