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In a factory, a normal bench with a mean deviation of 3 mm and a standard deviation of 0.1 mm products suitable for distribution are

In a factory, a normal bench with a mean deviation of 3 mm and a standard deviation of 0.1 mm products suitable for distribution are produced. To test if the machine is working properly 15 random samples were taken and the average was found to be 2.94 mm. At the 0.05 significance level, Test if it is working properly. (also specify H0 and H1).

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