SOLUTION: A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.02 ounce. You can a

Question 726133: A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.02 ounce. You can allow the cup to overfill 3% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.02 ounce. You can allow the cup to overfill 3% of the time. What amount should you set as the mean amount of coffee to be dispensed?
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Find the z-value with a right-tail of 3%
invNorm(0.97) = 1.8808
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Find the corresponding cup-fill values:
x = z*s+u
x = 1.8808*0.02 + 8
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x = 8.04 ounces
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Cheers,
Stan H.
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