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AutoSave OFF .CG ... wa assignment - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat ? Tell me Share Comments Calibri v 11 A" A Aa Ap AaBbCcDdEe AaBbCcDdEe AaBbCcDdl AaBbCcDdEE AaBb( , Paste BIUvab X2 X A L Av Normal No Spacing Heading 1 Heading 2 Title Styles Dictate Create and Share Request Pane Adobe PDF Signatures Exercise Module 1 - Normal Distribution Nestle Purina Petcare You need to complete this exercise individually. The goal of this exercise is to have you apply what you have learned on the normal distribution. The company Nestle Purina Petcare is a subsidiary of the Nestle Group, which is specialized in the production of pet food. Nestle Purina Veauche industrial site is specialized in the production of wet food for cats. It was built in 1981-1982 and produces individual cans and bags for cats under brands GOURMET, FELIX and PRO PLAN. The various products made by Nestle Purina are packaged in cans of 85g or bags of 85g or 100g. There are two production lines of cans and two production lines of bags that continuously produce 24h/24 and 7days/7 and allow the company to produce about 400 tons of products per day. 85g Cans HsCC Gourmet, Proplan Gourmet, Proplan Souffle chunks In Gravy (CiG) Gourmet LIG Roasted Gourmet Grill In Gravy (GIG) DUO = Chunks In Gravy + Grill In Gravy (CIG + GIG Gourmet, Proplan Now we consider the production of 85g cans. Once the mixture has been prepared, it is packaged by the automatons. The process includes: filling in the cans, sealing, weighing and disposal if the weight is less than 85g (production waste), sorting, labeling Even if the automatons are of very good quality, it is impossible to obtain cans weighing exactly 85g. There is a standard deviation in packing the cans related to the technical processes, which follows a normal distribution of the standard deviation equal to 0.8g. Page 1 of 3 431 words English (France) Focus E + 92%AutoSave OFF .CG ... wa assignment - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat ? Tell me Share Comments Calibri v 11 A" A Aa Ap 24 T AaBbCcDdEe AaBbCcDdEe AaBbCcDdl AaBbCcDdEE AaBb( , Paste BI Uvab X X A L Av Normal No Spacing Heading 1 Heading 2 Title Styles Dictate Create and Share Request Pane Adobe PDF Signatures Statistics Exercise Module 1 - Normal Distribution Question 1: To which value should the mean of packing the cans be set so that the waste related to the weight of package is less than 2%? The automatons can be set with a precision of 1 centigram. Your answer should clearly represent your reasoning and/or include a graph suitable for the presentation of the problem. We are now interested in the production of 100g packages. Once the mixture has been prepared, it is packaged by the automatons. The process includes: packing, sealing, weighing and disposal if the weight is less than 98.5g or bigger than 101.5g, sorting, labeling. The automatons are the same as those used for the 85g packages. The standard deviation in packing, elated to the technical processes, follows, also for the 100g packages, a normal distribution of the standard error equal to 0.8g. Question 2: Knowing that the automatons are set to a mean =100g, what is the percentage of packages that are then discarded as waste, statistically speaking. Your answer should clearly represent your reasoning and/or include a graph suitable for the presentation of the problem. Question3: Would it be appropriate to set the machines to a mean u=100.5? Justify your answer. Page 2 of 3 431 words English (France) Focus E + 92%
