157hkw1_f2011 - ARE 157 Fall 2011 M Whitney ANALYSIS FOR...

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ARE 157 Fall 2011 M. Whitney ANALYSIS FOR PRODUCTIO N MANAGEME NT Homework 1, due Monday, Oct. 17th, at start of class 1. (12) Glenview Garden Products packages organic lawn fertilizer for sale to local garden stores. Each bag is labeled as containing 4 pounds. In order to ensure that no customers are shorted, the firm requires that each bag contains at least 64 ounces, with a target of 64.3 oz and an upper limit of 64.6 oz. The firm operates two packaging machines, and wishes to check whether they are performing satisfactorily. A sample from each is taken, with the following results: Machine A Machine B 2 weighed 64.1 2 weighed 64.2 7 weighed 64.2 10 weighed 64.3 13 weighed 64.3 5 weighed 64.4 3 weighed 64.4 3 weighed 64.5 a. (1) After looking at the 2 samples above, one employee concluded that both machines are operating satisfactorily, since none of the sampled bags were out of tolerance. Explain why this is not a satisfactory criterion for quality control purposes. b. (8) Find the mean and sample standard deviation of each sample. What are the lightest and heaviest bags that are expected to occur for each machine, assuming a normal distribution? Is each machine operating satisfactorily at present?
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157hkw1_f2011 - ARE 157 Fall 2011 M Whitney ANALYSIS FOR...

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