In: Statistics and Probability
QUESTION E
The sales of a factory, manufacturing bicyles, over the last 24 months were as follows:
| MONTH | UNITS SOLD | 
| 1 | 1140 | 
| 2 | 1180 | 
| 3 | 1130 | 
| 4 | 1180 | 
| 5 | 1110 | 
| 6 | 1200 | 
| 7 | 1280 | 
| 8 | 1340 | 
| 9 | 1340 | 
| 10 | 1240 | 
| 11 | 1140 | 
| 12 | 1230 | 
| 13 | 1440 | 
| 14 | 1530 | 
| 15 | 1560 | 
| 16 | 1350 | 
| 17 | 1350 | 
| 18 | 1420 | 
| 19 | 1530 | 
| 20 | 1530 | 
| 21 | 1430 | 
| 22 | 1430 | 
| 23 | 1490 | 
| 24 | 1570 | 
It is obvious that the monthly sales are increasing, but it is also obvious to the production manager that he is getting close to his capacity. In fact, should demand exceed 1 600 units a month, the factory would have to be expanded to meet the requirements.
Investigate the possibility, by conventional forecasting methods (in other words, the moving averages) that the figure of 1 600 units will be exceeded in any of the next six months.
Hello
The excel forecasting moving averages output :
| Timeline | Values | Moving Average | Forecast | Lower Confidence Bound | Upper Confidence Bound | 
| 1 | 1140 | ||||
| 2 | 1180 | 1160 | |||
| 3 | 1130 | 1155 | |||
| 4 | 1180 | 1155 | |||
| 5 | 1110 | 1145 | |||
| 6 | 1200 | 1155 | |||
| 7 | 1280 | 1240 | |||
| 8 | 1340 | 1310 | |||
| 9 | 1340 | 1340 | |||
| 10 | 1240 | 1290 | |||
| 11 | 1140 | 1190 | |||
| 12 | 1230 | 1185 | |||
| 13 | 1440 | 1335 | |||
| 14 | 1530 | 1485 | |||
| 15 | 1560 | 1545 | |||
| 16 | 1350 | 1455 | |||
| 17 | 1350 | 1350 | |||
| 18 | 1420 | 1385 | |||
| 19 | 1530 | 1475 | |||
| 20 | 1530 | 1530 | |||
| 21 | 1430 | 1480 | |||
| 22 | 1430 | 1430 | |||
| 23 | 1490 | 1460 | |||
| 24 | 1570 | 1530 | 1570 | 1570 | 1570 | 
| 25 | 1617 | 1664 | 1542 | 1786 | |
| 26 | 1699 | 1735 | 1612 | 1858 | |
| 27 | 1699 | 1663 | 1539 | 1787 | |
| 28 | 1649 | 1635 | 1510 | 1760 | |
| 29 | 1592 | 1549 | 1423 | 1675 | |
| 30 | 1593 | 1638 | 1511 | 1765 | 
And the corresponding Chart: ( I recommend you to first download it and then view it.)

I hope this solves your doubt.
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