SOLUTION: a machine fills one-pound cartons of Top Flavor ice cream. The machine can be set to dispense, on average, any amount of ice cream into these cartons. However, the machine does not

Algebra ->  Probability-and-statistics -> SOLUTION: a machine fills one-pound cartons of Top Flavor ice cream. The machine can be set to dispense, on average, any amount of ice cream into these cartons. However, the machine does not      Log On


   

Question 1174028: a machine fills one-pound cartons of Top Flavor ice cream. The machine can be set to dispense, on average, any amount of ice cream into these cartons. However, the machine does not put exactly the same amount of ice cream into each carton; it varies from carton to carton. It is known that the amount of ice cream put into each carton has a normal distribution with a standard deviation of 0.18 ounce. The quality control inspector wants to set the machine such that at least 90% of the cartons have more that 16 ounces of ice cream. What should be the mean amount of ice cream put into these cartons by this machine?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
... such that at least 90% of the cartons have more that 16 ounces of ice cream. 
What should be the mean amount of ice cream put into these cartons by this machine?

Normal Distribution: σ = .18

z+=blue+%28x+-+mu%29%2Fblue%28sigma%29  

+%28-z%29%28+.18%29+%2B+16+=++mu+              using z = -1.282,  gives upper 10%


(1.282)(.18) + 16 = μ = 16.23 (rounded to same decimal points as  σ )


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