Question 934902: The manufacturer of a coffee dispensing machine claims that the ounces per cup has a distribution with mean (mu) 8 ounces and standard deviation (sigma) 0.7 ounce. If 39 cups of coffee are measured, what is the probability that the average ounces per cup (x bar) is more than 8.2 ounces?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The manufacturer of a coffee dispensing machine claims that the ounces per cup has a distribution with mean (mu) 8 ounces and standard deviation (sigma) 0.7 ounce. If 39 cups of coffee are measured, what is the probability that the average ounces per cup (x bar) is more than 8.2 ounces?
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z(8.2) = (8.2-8)/(0.7/sqrt(39)) = 1.7843
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P(x-bar > 8.2) = P(z > 1.7843) = normalcdf(1.7843,100) = 0.0372
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Cheers,
Stan H.
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