Carbonated Beverage: The fill volume of an automated filling machine used for filling bottles of carbonated beverage is normally distributed with a mean of µ = 12.6 fluid ounces and a standard deviation of 0.15 fluid ounce, ♂ = 0.15. CHARLIE'S natural soda CHARLIE'S natural soda CHARLIE'S Questions: a) What is the fill volume of a bottle of carbonated beverage that is 1 standard deviation above the mean volume? b) What is the fill volume of a bottle of carbonated beverage that is 2 standard deviation below the mean volume? c) Compute the z value that corresponds to X= 12.9 fluid ounces. Round to 2 decimal places. Show your work.

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