*PLEASE USE SPREADSHEET TO SOLVE AND PROVIDE LINK TO FINISHED SHEET FOR FURTHER STUDY*

\"9.1 Costello labs supplies Ell-cc bottles of treated Elixir plasma solution to Mercy Hospital. Several factors are important in assessing plasma quality, such as purity, absence ofAl'DS or hepatitis virus, and bacterial count. The most in'Lportant quality characteristic, however, is protein concentration. Protein concentration is meas~ ured by a sophisticated electronic process known as electrophoresis. American Medical Association [AM] standards specify that a 500cc plasma bottle should contain between 30 and 35 grams of protein. Both concentrations under and over this range may be hazardous to a patient's health. Hospital administrators have instructed Costello Labs to straighten out its plasma production operation and to demonstrate evidence of ghter process con~ trols prior to the renewal of its supply contract. Costello's plasma production equipment consists of a protein injector and a mixer that determine protein concentration in each bottle. Process capability depends on the precision of these pieces of equipment. a. Suppose that the hospital and the lab have agreed that at least 98% of the plasma bottles supplied by Costello should conform to AMA specifications (i.e., should contain between 30 and 35 grams of protein). Determine the following: 0 The precision of Costello's protein injector as measured by or ' The standard deviation of the amount of pro tein that it must inject into each bottle in order to produce 93% of process output within the specications Also compute the corresponding process capabili ity ratio Cp- b. Costello Labs production manager Phil Abbott wants to establish statistical process control charts to monitor the plasmavinjection process. Set up these control charts based on average protein readv ings taken from randomly selected samples of 12 bottles from each batch. 9.2 Natural Foods sells Takeoff, a breakfast cereal, in one pound boxes. According to Food and Drug Administration (FDA) regulations, a oneipound box must contain at least 15.5 ounces of cereal. However, Natural Foods boxfilling process is not perfect: its precision, expressed in terms of the standard deviation of the weight of a onepound box filled, is 0.5 ounces