Please find the indicated values. 2

label Statistics
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Vending Machine: A vending machine dispenses coffee into an eight-ounce cup. The amounts of coffee dispensed into the cup are normally distributed, with a standard deviation of 0.03 ounce. You can allow the cup to overfill 1% of the time. What amount should you set as a the mean amount of coffee to be dispensed?

Apr 1st, 2015

x = 8, δ = 0.03 

x = μ + zδ 

μ = x - zδ 

You have to find the mean that makes the range of 0oz to 8oz equal to 0.99 or the 99th percentile 

(because everything above 8 oz should occur only in 1% of the time). 

You can look up the z-value for 0.99 in a Standard Normal Distribution table. 
z = 2.32 

μ = 8-2.32 *0.03 = 7.93 

You get a mean of 7.93 oz. 

Apr 1st, 2015

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Apr 1st, 2015
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