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)