Question: An automatic cookie machine at ACM, Inc., must deposit a specified amount of 25 0.3 grams (g) of dough for each cookie on a conveyor
An automatic cookie machine at ACM, Inc., must deposit a specified amount of 25 0.3 grams (g) of dough for each cookie on a conveyor belt. It costs $0.03 to scrap a defective cookie. A sample of 50 cookies was drawn from the production process, which has been determined to be approximately normally distributed, and the results, in grams, can be found in the table below.
| 25.7660 | 23.5730 | 25.0420 | 24.7770 | 25.1670 | 24.1200 | 24.6690 | 24.8250 | 24.7630 | 25.5640 |
| 24.4550 | 25.0160 | 25.8750 | 25.9860 | 24.3680 | 25.2890 | 24.8810 | 25.3010 | 24.9140 | 25.5930 |
| 25.5250 | 25.5160 | 25.8910 | 24.5410 | 25.5090 | 24.5230 | 25.2620 | 24.8680 | 25.0670 | 24.8110 |
| 26.0340 | 25.1240 | 25.3810 | 24.6470 | 24.7310 | 25.1860 | 25.4380 | 25.1980 | 25.6620 | 25.3290 |
| 24.6960 | 24.7520 | 24.6040 | 24.8460 | 25.4070 | 25.0290 | 25.2180 | 25.4550 | 25.2270 | 25.8350 |
- Calculate the value of k in the Taguchi loss function.
- Determine how much the process varies from the target specification, based on the mean difference and standard deviation of the sample results. Calculate the expected loss per unit.
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