Question: 14.32 A process engineer wants to determine if the power setting on the machines used to fill certain types of cereal boxes results in a

14.32 A process engineer wants to determine if the power setting on the machines used to fill certain types of cereal boxes results in a significant effect on the actual weight of the product. The study consists of 3 randomly chosen types of cereal manufactured by the company and 3 fixed power settings. Weight is measured for 4 different randomly selected boxes of cereal at each combination. The desired weight is 400 grams.

The data are presented here.

Power Cereal Type Setting 1 2 3 Low 395 390 392 392 402 405 401 400 394 401 399 399 Current 396 399 390 392 404 403 400 402 395 502 400 399 High 410 408 404 406 415 412 408 407 401 400 413 415

(a) Give the appropriate model, and list the assumption being made.

(b) Is there a significant effect due to the power setting?

(c) Is there a significant variance component due to cereal type?

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