A manufacturer of gelato ice cream is interested in setting the viscosity as close to 50 mPa s as possible. It is estima

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A manufacturer of gelato ice cream is interested in setting the
viscosity as close to 50 mPa s as possible. It is estimated that
the loss to the consumer is 2 TL per scoop if the viscosity exceeds
60 mPa s. The daily production rate is 3000 scoops. A random sample
of 15 yields the following viscosity (in mPa s): 56, 43, 39, 62,
58, 41, 55, 43, 62, 36, 53, 48, 47, 61, 63.
a) Find the average loss per scoop and the average daily
loss.
The manufacturer is considering adopting a new process to reduce
the variability in the viscosity. It is estimated that the
additional cost of this improvement is 0.40 TL per scoop. A random
sample of size 10 from the new process yielded the following
viscosity values (in mPa s): 52, 55, 49, 48, 50, 51, 47, 50, 53,
46.
b) What is the daily loss under the new process?
c) Discuss whether or not you believe that it is cost
effective to use the new process.