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A botting plant fills 12-ounce cans of soda by an automated filling process that can be adjusted to any mean fill volume and that will Silcans according to a normal distribution. However, not all cam will contain the same volume due to variation in the filling process. Historical records show that regardless of what the mean is set at the standard deviation in fill will be 0.065 ounce Operations managers at the plant know that if they put too much soda in a can, the company loses money. If too little is put in the can, customers are short changed, and the State Department of Weights and Measures may fine the company. Complete parts a and b below. a. Suppose the industry standards for fill volume call for each 12-ounce can to contain between 11.93 and 12.07 ounces. Assuming that the manager sets the mean fill 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 (Round to four decimal places as needed.)

A botting plant fills 12-ounce cans of soda by an automated filling process that can be adjusted to any mean fill volume and that will Silcans according to a normal distribution. However, not all cam will contain the same volume due to variation in the filling process. Historical records show that regardless of what the mean is set at the standard deviation in fill will be 0.065 ounce Operations managers at the plant know that if they put too much soda in a can, the company loses money. If too little is put in the can, customers are short changed, and the State Department of Weights and Measures may fine the company. Complete parts a and b below. a. Suppose the industry standards for fill volume call for each 12-ounce can to contain between 11.93 and 12.07 ounces. Assuming that the manager sets the mean fill 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 (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A botting plant fills 12-ounce cans of soda by an automated filling process that can be adjusted to any mean fill volume and that will fill 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 of what the mean is set at, the standard deviation in fill will be 0.065 ounce. Operations managers at the plant know that if they put too much soda in a can, the company loses money. If too little is put in the can, customers are short changed, and the State Department of Weights and i Measures may fine the company. Complete parts a and b below. a. Suppose the industry standards for fill volume call for each 12-ounce can to contain between 11.93 and 12.07 ounces. Assuming that the manager sets the mean fill 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 (Round to four decimal places as needed.)
Transcribed Image Text:A botting plant fills 12-ounce cans of soda by an automated filling process that can be adjusted to any mean fill volume and that will fill 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 of what the mean is set at, the standard deviation in fill will be 0.065 ounce. Operations managers at the plant know that if they put too much soda in a can, the company loses money. If too little is put in the can, customers are short changed, and the State Department of Weights and i Measures may fine the company. Complete parts a and b below. a. Suppose the industry standards for fill volume call for each 12-ounce can to contain between 11.93 and 12.07 ounces. Assuming that the manager sets the mean fill 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 (Round to four decimal places as needed.)
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