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

  1. Calculate the value of k in the Taguchi loss function.
  2. 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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