Incorrect answer. Your answer is incorrect. Try again. The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed. Suppose, that the mean of the filling operation can be adjusted easily, but the standard deviation remains at 0.3 fluid ounce. (a) At what value should the mean be set so that 99.9% of all cans exceed 14 fluid ounces? Round your answer to three decimal places (e.g. 98.765) Enter your answer in accordance to the item a) of the question statementEntry field with incorrect answer 12.927 fluid ounces (b) At what value should the mean be set so that 99.9% of all cans exceed 14 fluid ounces if the standard deviation can be reduced to 0.05 fluid ounce? Round your answer to three decimal places (e.g. 98.765) Enter your answer in accordance to the item b) of the question statementEntry field with incorrect answer 12.124 fluid ounces

You seem to have correctly determined that the mean should be set 3.09 standard deviations above the target fill value. The target value is 14 ounces, not 12.

a) the mean needs to be 14 + 3.09·0.3 = 14.927 . . . fl oz

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b) the mean needs to be 14 + 3.09·0.05 = 14.155 . . . fl oz

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