A vending machine dispenses coffee into a twenty ounce cup. The amount of coffee

Question

A vending machine dispenses coffee into a twenty 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 4% of the time. What amount should you set as the mean amount of coffee to be dispensed? A vending machine dispenses coffee into a twenty 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 4% of the time. What amount should you set as the mean amount of coffee to be dispensed?

Explanation / Answer

Critical value to allow the cup to overfill 4% of the time is 1.7507

Amount needed to be dispensed = 1.7507*0.02+20 = 20.04 ounces ( two decimal places)

So, 20.04 ounces should be set as the mean amount of coffee to be dispensed

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