A factory wanted to institute a quality control program. In theory, the diameter of a certain plastic part to be used in build-it-yourself furniture should be normally distributed with a mean of 15 mm and standard deviation of 0.002 mm. Based on a sample of 1000 pieces, this was the distribution:

Are the diameters normally distributed with a mean of 15 mm and standard deviation of 0.002 mm? Test at a 0.05 level of significance.

< 14.996 14.996