Company ABC Company XYZ 18,42280727 18,11722091 23,25971383 18,03236506 24,47267508 11,70181582 16,43125944 28,6349246 24,28843419 20,01970193 28,94755272 21,43805892 23,99634997 25,77991841 21,24041049 17,61727736 13,03788468 23,17141939 22,48407401 19,44828346 11,75437848 16,47678806 25,32910531 27,07743766 28,29293481 22,60188244 18,07510972 21,75405717 18,52644874 17,69497663 27,387692 17,85126192 31,33021511 26,10624511 17,54311671 21,061494 19,60308128 20,38612598 24,13955445 23,3838603 22,91021548 27,90996637 24,93664016 15,98477416 17,39909368 15,16035132 23,66404789 21,78663413 26,33621608 25,21042693 34,52750735 25,72431418 28,47319212 22,36474307 20,53729378 21,05484901 21,29081923 20,54825477 14,71201432 16,49442088 24,47566959 15,64039399 14,28379238 18,38440203 12,40888724 23,25464953 18,93436393 18,26911221 29,47781996 18,64149345 22,68654117 25,70740895 22,51631105 20,85214458 24,03909167 23,93770199 31,76300726 17,96011776 28,38274287 17,65424787 27,28002602 22,83645773 23,3062072 15,58564764 25,03221213 20,24033921 26,41886186 18,33414518 A large consumer electronics retailer is planning to expand its e-commerce operations. To this...
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Company ABC Company XYZ 18,42280727 18,11722091 23,25971383 18,03236506 24,47267508 11,70181582 16,43125944 28,6349246 24,28843419 20,01970193 28,94755272 21,43805892 23,99634997 25,77991841 21,24041049 17,61727736 13,03788468 23,17141939 22,48407401 19,44828346 11,75437848 16,47678806 25,32910531 27,07743766 28,29293481 22,60188244 18,07510972 21,75405717 18,52644874 17,69497663 27,387692 17,85126192 31,33021511 26,10624511 17,54311671 21,061494 19,60308128 20,38612598 24,13955445 23,3838603 22,91021548 27,90996637 24,93664016 15,98477416 17,39909368 15,16035132 23,66404789 21,78663413 26,33621608 25,21042693 34,52750735 25,72431418 28,47319212 22,36474307 20,53729378 21,05484901 21,29081923 20,54825477 14,71201432 16,49442088 24,47566959 15,64039399 14,28379238 18,38440203 12,40888724 23,25464953 18,93436393 18,26911221 29,47781996 18,64149345 22,68654117 25,70740895 22,51631105 20,85214458 24,03909167 23,93770199 31,76300726 17,96011776 28,38274287 17,65424787 27,28002602 22,83645773 23,3062072 15,58564764 25,03221213 20,24033921 26,41886186 18,33414518
A large consumer electronics retailer is planning to expand itse-commerce operations. To this end, the management is consideringestablishing a strategic partnership with courier company XYZ forthe delivery of customers’ orders.
Question 1
The management of the retailer is prepared to proceed with thepartnership only if XYZ can deliver orders faster than company ABCthat is currently used by the retailer. The e-commerce departmentof the retailer has collected data from 50 random orders deliveredby ABC in the last two months and 38 similar random ordersdelivered by XYZ in the same period. The data is included in thetable below and refer to the time (in hours) between the placementof each order and the delivery to the customer. Use an appropriatestatistical test to advise the management of the retailer whetheror not they should partner with XYZ.
Company ABC | Company XYZ |
18,42280727 | 18,11722091 |
23,25971383 | 18,03236506 |
24,47267508 | 11,70181582 |
16,43125944 | 28,6349246 |
24,28843419 | 20,01970193 |
28,94755272 | 21,43805892 |
23,99634997 | 25,77991841 |
21,24041049 | 17,61727736 |
13,03788468 | 23,17141939 |
22,48407401 | 19,44828346 |
11,75437848 | 16,47678806 |
25,32910531 | 27,07743766 |
28,29293481 | 22,60188244 |
18,07510972 | 21,75405717 |
18,52644874 | 17,69497663 |
27,387692 | 17,85126192 |
31,33021511 | 26,10624511 |
17,54311671 | 21,061494 |
19,60308128 | 20,38612598 |
24,13955445 | 23,3838603 |
22,91021548 | 27,90996637 |
24,93664016 | 15,98477416 |
17,39909368 | 15,16035132 |
23,66404789 | 21,78663413 |
26,33621608 | 25,21042693 |
34,52750735 | 25,72431418 |
28,47319212 | 22,36474307 |
20,53729378 | 21,05484901 |
21,29081923 | 20,54825477 |
14,71201432 | 16,49442088 |
24,47566959 | 15,64039399 |
14,28379238 | 18,38440203 |
12,40888724 | 23,25464953 |
18,93436393 | 18,26911221 |
29,47781996 | 18,64149345 |
22,68654117 | 25,70740895 |
22,51631105 | 20,85214458 |
24,03909167 | 23,93770199 |
31,76300726 | |
17,96011776 | |
28,38274287 | |
17,65424787 | |
27,28002602 | |
22,83645773 | |
23,3062072 | |
15,58564764 | |
25,03221213 | |
20,24033921 | |
26,41886186 | |
18,33414518 |
A large consumer electronics retailer is planning to expand itse-commerce operations. To this end, the management is consideringestablishing a strategic partnership with courier company XYZ forthe delivery of customers’ orders.
Question 1
The management of the retailer is prepared to proceed with thepartnership only if XYZ can deliver orders faster than company ABCthat is currently used by the retailer. The e-commerce departmentof the retailer has collected data from 50 random orders deliveredby ABC in the last two months and 38 similar random ordersdelivered by XYZ in the same period. The data is included in thetable below and refer to the time (in hours) between the placementof each order and the delivery to the customer. Use an appropriatestatistical test to advise the management of the retailer whetheror not they should partner with XYZ.
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