2. The quality control manager at a light bulb factory needs to determine whether the average life of a large shipment o

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2. The quality control manager at a light bulb factory needs to determine whether the average life of a large shipment o

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2. The quality control manager at a light bulb factory needs to determine whether the average life of a large shipment of light bulbs is equal to the specified value of 475 hours. The process standard deviation is known to be 200 hours. A random sample of 36 light bulbs indicates a sample mean life of 480 hours. At the 0.10 level of significance, is there evidence that the mean life is different from 475 hours? [10 points] a. State the null and alternative hypothesis b. Is it a two-tail test or one-tail-test? c. Write the test Statistic ( Z or T )? d. State the critical value(s) e. State the conclusion (Reject Ho or Do not reject Ho) f. State the conclusion as a relationship to the problem.
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