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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. Is the mean number of desks produced different from 200? The mean number of desks produced last year (50 weeks, because the plant was shut down two weeks for vacation) is 203.5. Test using the.01 significance level. i. The alternate hypothesis is 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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