For what fill amount are they searching? round nearest thousandth.

Mathematics
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Brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean pf 12.26 ounces and SD of .04 ounces. Company is interested in reducing the amount go extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by the machine. For what fill amount are they searching? round nearest thousandth. 

May 1st, 2015

At the highest 1.5%

Z = 2.27  according to the Z chart for normal distribution

That means 2.27 standard deviations above the mean

(2.27)(.04) = 0.091 ounces more than 12.26

12.26 + 0.091 = 12.351 ounces or more

May 1st, 2015

Oops, I read the chart wrong...it's Z = 2.17 not 2.27  (a little hard to line up the numbers on the chart)

So, then it's (2.17)(0.04) = 0.0868

12.26 + 0.0868 = 12.347

May 1st, 2015

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