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 the market expansion, new production methods have been introduced and new employees hired. The vice president of the manufacturing would like to investigate whether there has been a change in the weekly production of the model A325 desk. The mean number of desk produced last 50 weeks is 203.5. Is the mean number of desks produced at the Fredonia Plant different from 200 at the 0.01 significance level?
(a) Write appropriate null and alternative hypothesis to test whether the mean number of desks produced at the Fredonia Plant different from 200 or not.
(b) Conduct the appropriate test for the above hypothesis in part (a) and write your decision based on your findings
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