SOLUTION: A vending machine dispenses coffee into an eight-ounces cup. The amounts of coffee dispensed into the cup are normally distributed with a standard deviation 0.01 ounce. You can all

Question 456836: A vending machine dispenses coffee into an eight-ounces cup. The amounts of coffee dispensed into the cup are normally distributed with a standard deviation 0.01 ounce. You can allow the cup to overfill 1% of the time. What amount you should 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-ounces cup. The amounts of coffee dispensed into the cup are normally distributed with a standard deviation 0.01 ounce. You can allow the cup to overfill 1% of the time. What amount you should set as the mean amount of coffee to be dispensed?
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Find the z-value with a right tail of 1%: z = 2.3263
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Find the x-value using x = zs+u
x = 2.3263*0.01+8 = 8.0233
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Let that be the mean amount of coffee to be dispensed.
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Cheers,
Stan H.
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