There are two machines available for cutting corks intended foruse in wine bottl
ID: 2952122 • Letter: T
Question
There are two machines available for cutting corks intended foruse in wine bottles. The first produces corks with diametersnormally distributed with mean 3 cm and standard deviation 0.1cm. The second machine produces corks with diameters thathave a normal distribution with mean 3.04 cm and variance 0.0025cm. The specifications for the diameter of an acceptable corkare between 2.9 cm and 3.1 cm.
a) Which machine is more likely to produce acceptable corks?
b) What should be the mean of the second process to increase theproportion of acceptable corks?
c) If the actual mean is maintained, what standard deviation shouldthe first machine has to ensure that the 99% of corks areacceptable? To ensure that 99.73% are acceptable?
Explanation / Answer
for (a) The answer with the higher probability means that it will be more likely to produce an acceptable cork.