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1. A product is produced on a particular workbench of a factory. The quality characteristic of...

1. A product is produced on a particular workbench of a factory. The quality characteristic of the product follows Normal distribution with an average of 3 mm and a standard deviation of 0.1 mm. In order to test whether the bench is working properly, 15 random samples were taken and the average was found to be 2.94 mm. Test whether the workbench is working properly at the 0.05 significance level. (15 points)

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