MGMT 403 8: ECON 436-98: STATISTICS FOR BUSINESS DECISIONS Score: 0.25 of 1 pt HW Score: 61.25%, 4.9 of 8 pie 1. Oueion Help a Abottling plant lls 12-ounce cans of soda by an automated lling process that can be adjusted to any mean fill volume and that will tin cans according to a normal distribution. However. not all cans will contain the same volume due to variation in the filling process. Historical records show that regardless ofwhat the mean is set at, the standard deviation in ll will be 0.035 ounce. Operations managers at the plant know that if they put too much soda in a can. the company loses money. I! too little is put in the can. customers are short changed. and the State Department of Weights and Measures may line the company. Complete parts a and b below. 5. Suppose the industry standards for till volume call for each 12-ounce can to contain between 11.97 and 12.03 ounces. Assuming that the manager sets the mean tilt at 12 ounces. what is the probability that a can will contain a volume of product that falls in the desired range? The probability is {clef}. (Round to four decimal places as needed.) it. Assume that the manager ls focused on an upcoming audit by the Department of Weights and Measures. She knows the process is to select one can at random and that it it contains less than 11.96 ounces. the company will be reprimanded and potentially ned. Assuming that the manager wants at most a 5% chance of this happening. atwhat level should she set the mean till level? Comment on the ramications of this step, assuming thetlhe company tilis tens of thousands at cans each week. Set the mean fill level atD ounces. (Round to two decimal places as netIded.)