Question: Jamestown Steel Company manufactures and assembles desks and other office equipment at several plants in weste

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Question: Jamestown Steel Company manufactures
and assembles desks and other office equipment at several plants in
western New York State. The weekly production of the Model A325
desk at the Fredonia Plant follows a normal probability
distribution with a mean of 200 and a standard deviation of 16.
Recently, because of market expansion, new production methods have
been introduced and new employees hired. The vice president of
manufacturing would like to investigate whether there has been a
change in the weekly production of the Model A325 desk. The mean
number of desks produced last year (50 weeks because the plant was
shut down 2 weeks for vacation) is 203.5.

Is the mean number of desks produced at the Fredonia Plant
different from 200 at the 0.01 significance level?