The glass used for making windshields is produced using a process called "floating" where molten glass is pumped onto a bed of molten tin and cooled rapidly forming perfectly smooth sheets. The process for producing the sheets of glass is set to result in a mean thickness of 3.18 millimeters. To ensure that sheets of glass are a consistent thickness, every hour a worker randomly selects 10 sheets produced in the past hour and measures the average thickness of the sheets. If there is convincing evidence that the mean thickness is different from 3.18 millimeters or if there is convincing evidence that the standard deviation is greater than 0.04 millimeters, the entire process is shut down for recalibration. It can be assumed that the average thickness of the glass sheets is normally distributed. (a) During one hour, the mean thickness of 10 randomly selected sheets was 3.16 millimeters and the standard deviation was 0.055 millimeters. Perform a test of significance to determine whether the mean thickness of the sheets is different from 3.18 millimeters