Introduction to statistics
posted by Shamin .
A vending machine dispenses coffee into an eightounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of .03 ounce. You can allow the cup to OVERFILL 1% of the time. What amount should you set as the mean amount of coffee to be dispensed?

x=8, δ=0.03
x=μ+zδ
μ=xzδ
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 8oz should occur only in 1% of the time).
You can look up the zvalue for 0.99 in a Standard Normal Distribution table.
z=2.32
μ=82.32*0.03=7.93
You get a mean of 7.93oz.
Respond to this Question
Similar Questions

intro to statistics
a vending machine dispenses coffee into an 8 oz cup. the amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 oz.you can allow the cup to overfill 1 percent of the time. what among should … 
.. need help with this question asap pls
a vending machine dispenses coffee into an eight ounce cup. The amount of coffee dispensed into the cup is normally distributed with sd 0.02 ounce . you can allow the cup to overfill 5% of the time .What amount should you set a mean … 
Statistics
A vending machine dispenses coffee into an eightounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of .03 ounce. You can allow the cup to OVERFILL 1% of the time. What amount should … 
Descriptive Statistics
A vending machine dispenses coffee into a twelve ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.04 ounces. You can allow the cup to overfill 10% of the time. What amount … 
statistics
A vending machine dispenses coffee into a sixteen ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 ounces. You can allow the cup to overfill 10% of the time. What amount … 
Statistics
A vending machine dispenses coffee into a twelveounce cup. The amount of coffee dispensed in to the cup is normally distributed with a standard deviation of .08 ounce. You can allow the cup to overfill 2% of the time. What amount … 
statistics
A vending machine dispenses coffee into a twelveounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.05 ounce. You can allow the cup to overfill 4% of the time. What amount … 
statistics
a vending machine dispenses coffee into an 8 oz cup. the amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 oz.you can allow the cup to overfill 5 percent of the time. what amont should … 
statistics
A vending machine dispenses coffee into a twelveounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.07 ounce. You can allow the cup to overfill 2% of the time. What amount … 
mathematics
a drinks machine dispenses coffee into cups. A sign on the machine indicates that each cup contains 50 ml of coffee. the machine actually dispenses a mean amount of 55ml per cup and 10% of the cups contain less than the amount stated …