SOLUTION: You are employed as a head statistician for a company that makes household products, which are sold by part-time salespersons who work during their spare time. The company surveys

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Question 914539: You are employed as a head statistician for a company that makes household products, which are sold by part-time salespersons who work during their spare time. The company surveys a cluster sample of four salespeople employed in small town. Let us denote these salespersons A, B, C and D. The sales records (in dollars) for the past six weeks for this cluster sample of four salespersons are shown in the following table:
Week A B C D
1 1774 2205 1330 1402
2 1808 1507 1295 1665
3 1890 2352 1502 1530
4 1932 1939 1104 1826
5 1855 2052 1189 1703
6 1726 1630 1441 1498
Your supervisor has asked you to prepare a brief report comparing the sales volumes and the performance of these four people. He needs your recommendation for the recipient of the award “Salesperson of the Month”. Use an appropriate measure of average to compare the sales volumes and then choose an appropriate statistical measure to compare the performance (in terms of consistency of sales). Use the graphing calculator to perform the calculations and write a report. In your calculations, include the mean sales, median sales, standard deviation of the sales and other relevant statistical measures. Include relevant statistical charts.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Month does have 6 weeks, however based on the 6 week Data:
“Salesperson of the Month” would be A (relatively... consistent high volume)
A B C D GROUP
Mean   1830.8 1947.5 1310.2 1604 1673.1
Std.Dev.   76.2 327.3 149.5 155.1 310.5
Std.Err.   31.1 133.6 61 63.3 63.4
 


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