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The Jamestown Steel Company manufactures and assembles desks and other office equipment at
Several plants. The weekly production of the Model A325 desk follows a normal probability
Distribution, with a mean of 200 and a standard deviation of 16. Recently, due to 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 two weeks for vacation) is 203.5. Is the mean number of desks produced
Different from 200? Test using the .01 significance level.
i. The alternate hypothesis is μ ≤ 200.
ii. It is appropriate to use the z-test.
iii. The decision rule is: if the computed value of the test statistic is not between -2.58 and 2.58,
Reject the null hypothesis.
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