SOLUTION: A machine fills bottles of wine woth an average of 0.200 gallon. The standard deviation of fills is 0.008 gallon. If the fills are normally distributed, below what value will short
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Question 1046051: A machine fills bottles of wine woth an average of 0.200 gallon. The standard deviation of fills is 0.008 gallon. If the fills are normally distributed, below what value will shortest 10 percent of the fills lie?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
z(0.10)=-1.28
-1.28=(x-.0.200)/0.008
-0.01024=x-0.200, multiplying both sides by 0.008
x=0.18976 gallon will be the value below which the smallest 10% will lie.
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