SOLUTION: I tried working this problem out, but got stuck, please help A vending machine dispenses coffee in a 20 oz cup. The amount of coffee dispensed into the cup is normally distrubu

Question 479785: I tried working this problem out, but got stuck, please help
A vending machine dispenses coffee in a 20 oz cup. The amount of coffee dispensed into the cup is normally distrubuted with a standard deviation of 0.06 oz. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed, Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A vending machine dispenses coffee in a 20 oz cup.
The amount of coffee dispensed into the cup i
s normally distributed with a standard deviation of 0.06 oz.
You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed,
----
Find the z-value with a left tail of 54%
invNor(0.54) = 0.1004
--------
Solve the following for "u":
z(20) = (20-u)/0.06 = 0.1004
----
20-u = 0.06*0.1004 = 0.006
u = 19.994
==================
Cheers,
Stan H.
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