Probability and Manufacturing Errors Paper 2 page paper responding to the questions asked. All of the questions asked must have a response. It’s a paper on

Probability and Manufacturing Errors Paper 2 page paper responding to the questions asked. All of the questions asked must have a response. It’s a paper on probability and manufacturing errors. A customer writes in to Nabisco, complaining about their package of Chips Ahoy cookies:
“Dear Sir or Madam,
I am writing to express my serious disappointment in my recent purchase of a package of Chips
Ahoy cookies. I mindlessly bought the cookies on a recent shopping trip (see enclosed receipt).
When I got home and opened the package, the first cookie felt thin and light – not like the
typical cookie I am used to. I picked up several of the cookies to test them in my hand and they
all felt similar. I have gone through the trouble to weigh all the cookies. The total weight was
356.4 grams, when it should weigh 368 grams….”
Nabisco (and all other manufacturers) hire statisticians for just this reason. The goal is to make the
customer experience consistent, but the manufacturing process makes it impossible to make each package
exactly identical.
Why is it important to Nabisco that they customers have a consistent experience? Why is it important when
someone writes a letter of complaint like this one?
What would a statistician have to do in order to predict the likelihood of this customer’s experience? What
other information would they need in order to find the probability that a package would be this different
from the expected weight? What could they do to see if the probability of getting this light of a package had
changed?
How do you think Nabisco should respond to this customer?

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