When operating properly, a machine produces a certain type of glass sheets that is supposed to have mean thickness of 4.50 mm. From a random sample of 16 glass sheets, the mean thickness of the sample was 4.42 mm and sample standard deviation was 0.10 mm. Assume that the thickness of glass sheet is normally distributed. (a) At the 0.05 level of significance, do the data provide sufficient evidence to conclude that the population mean thickness of all glass sheets is different from 4.50 mm? (b) At the 0.01 level of significance, do the data provide sufficient evidence to conclude that the population standard deviation of the thickness of glass sheet is less than 0.12 mm