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?
------------
z(8.2) = (8.2-8)/(0.7/sqrt(39)) = 1.7843
----------------
P(x-bar > 8.2) = P(z > 1.7843) = normalcdf(1.7843,100) = 0.0372
-------------------
Cheers,
Stan H.
----------------