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 0.4 fluid ounce. a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces? b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if the standard deviation can be reduced to 0.09 fluid ounce?
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 0.4 fluid ounce. a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces? b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if the standard deviation can be reduced to 0.09 fluid ounce?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. The fill volume of an automated filling machine used for filling cans of carbonated beverage is
standard deviation remains at 0.4 fluid ounce.
a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?
b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if the
standard deviation can be reduced to 0.09 fluid ounce?
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